kilobytes = 91.9758073050325
q = 3
m = 7
n = 1670
s = 0
t = 26
u = 52
k = 1306
w = 39
ciphertext = [0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1]
recovered_plaintext_using_secret_key = True
pubkeycol364 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0]
pubkeycol365 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2]
pubkeycol366 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0]
pubkeycol367 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2]
pubkeycol368 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0]
pubkeycol369 = [1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2]
pubkeycol370 = [1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0]
pubkeycol371 = [2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2]
pubkeycol372 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0]
pubkeycol373 = [1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1]
pubkeycol374 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1]
pubkeycol375 = [1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1]
pubkeycol376 = [0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0]
pubkeycol377 = [2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2]
pubkeycol378 = [2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0]
pubkeycol379 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0]
pubkeycol380 = [2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0]
pubkeycol381 = [0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1]
pubkeycol382 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1]
pubkeycol383 = [1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0]
pubkeycol384 = [1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2]
pubkeycol385 = [0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1]
pubkeycol386 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2]
pubkeycol387 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2]
pubkeycol388 = [0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1]
pubkeycol389 = [1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2]
pubkeycol390 = [1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2]
pubkeycol391 = [2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0]
pubkeycol392 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0]
pubkeycol393 = [2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1]
pubkeycol394 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0]
pubkeycol395 = [1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1]
pubkeycol396 = [0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2]
pubkeycol397 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1]
pubkeycol398 = [2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1]
pubkeycol399 = [0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1]
pubkeycol400 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2]
pubkeycol401 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1]
pubkeycol402 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0]
pubkeycol403 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1]
pubkeycol404 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2]
pubkeycol405 = [1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1]
pubkeycol406 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1]
pubkeycol407 = [1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0]
pubkeycol408 = [1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0]
pubkeycol409 = [0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1]
pubkeycol410 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0]
pubkeycol411 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1]
pubkeycol412 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0]
pubkeycol413 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1]
pubkeycol414 = [2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2]
pubkeycol415 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2]
pubkeycol416 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2]
pubkeycol417 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0]
pubkeycol418 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1]
pubkeycol419 = [0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0]
pubkeycol420 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0]
pubkeycol421 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1]
pubkeycol422 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0]
pubkeycol423 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1]
pubkeycol424 = [2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0]
pubkeycol425 = [2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0]
pubkeycol426 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2]
pubkeycol427 = [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1]
pubkeycol428 = [1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2]
pubkeycol429 = [0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1]
pubkeycol430 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0]
pubkeycol431 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2]
pubkeycol432 = [1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2]
pubkeycol433 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2]
pubkeycol434 = [1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2]
pubkeycol435 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2]
pubkeycol436 = [2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1]
pubkeycol437 = [2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1]
pubkeycol438 = [0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0]
pubkeycol439 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0]
pubkeycol440 = [2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2]
pubkeycol441 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1]
pubkeycol442 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2]
pubkeycol443 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0]
pubkeycol444 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1]
pubkeycol445 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1]
pubkeycol446 = [0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2]
pubkeycol447 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0]
pubkeycol448 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1]
pubkeycol449 = [1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1]
pubkeycol450 = [1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1]
pubkeycol451 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2]
pubkeycol452 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2]
pubkeycol453 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1]
pubkeycol454 = [1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1]
pubkeycol455 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1]
pubkeycol456 = [2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0]
pubkeycol457 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0]
pubkeycol458 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1]
pubkeycol459 = [1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0]
pubkeycol460 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1]
pubkeycol461 = [2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0]
pubkeycol462 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1]
pubkeycol463 = [0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0]
pubkeycol464 = [2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1]
pubkeycol465 = [2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2]
pubkeycol466 = [1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2]
pubkeycol467 = [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1]
pubkeycol468 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1]
pubkeycol469 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2]
pubkeycol470 = [0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0]
pubkeycol471 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2]
pubkeycol472 = [0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0]
pubkeycol473 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2]
pubkeycol474 = [0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1]
pubkeycol475 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2]
pubkeycol476 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0]
pubkeycol477 = [2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2]
pubkeycol478 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1]
pubkeycol479 = [2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0]
pubkeycol480 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2]
pubkeycol481 = [1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0]
pubkeycol482 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0]
pubkeycol483 = [2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0]
pubkeycol484 = [0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1]
pubkeycol485 = [0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2]
pubkeycol486 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1]
pubkeycol487 = [1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1]
pubkeycol488 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2]
pubkeycol489 = [2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1]
pubkeycol490 = [1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0]
pubkeycol491 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2]
pubkeycol492 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2]
pubkeycol493 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0]
pubkeycol494 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0]
pubkeycol495 = [2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1]
pubkeycol496 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1]
pubkeycol497 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1]
pubkeycol498 = [2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2]
pubkeycol499 = [1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1]
pubkeycol500 = [0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2]
pubkeycol501 = [0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0]
pubkeycol502 = [1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2]
pubkeycol503 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2]
pubkeycol504 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0]
pubkeycol505 = [2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1]
pubkeycol506 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1]
pubkeycol507 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0]
pubkeycol508 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0]
pubkeycol509 = [2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1]
pubkeycol510 = [1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1]
pubkeycol511 = [1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0]
pubkeycol512 = [0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0]
pubkeycol513 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1]
pubkeycol514 = [2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0]
pubkeycol515 = [1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0]
pubkeycol516 = [2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0]
pubkeycol517 = [1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1]
pubkeycol518 = [1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0]
pubkeycol519 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2]
pubkeycol520 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1]
pubkeycol521 = [2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0]
pubkeycol522 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1]
pubkeycol523 = [0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1]
pubkeycol524 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1]
pubkeycol525 = [0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1]
pubkeycol526 = [1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0]
pubkeycol527 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1]
pubkeycol528 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2]
pubkeycol529 = [1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0]
pubkeycol530 = [0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2]
pubkeycol531 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1]
pubkeycol532 = [2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0]
pubkeycol533 = [0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2]
pubkeycol534 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1]
pubkeycol535 = [2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1]
pubkeycol536 = [2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1]
pubkeycol537 = [0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1]
pubkeycol538 = [0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2]
pubkeycol539 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2]
pubkeycol540 = [2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1]
pubkeycol541 = [0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0]
pubkeycol542 = [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0]
pubkeycol543 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2]
pubkeycol544 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2]
pubkeycol545 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0]
pubkeycol546 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0]
pubkeycol547 = [2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2]
pubkeycol548 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2]
pubkeycol549 = [0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2]
pubkeycol550 = [1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2]
pubkeycol551 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0]
pubkeycol552 = [2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2]
pubkeycol553 = [0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2]
pubkeycol554 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2]
pubkeycol555 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1]
pubkeycol556 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1]
pubkeycol557 = [1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0]
pubkeycol558 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1]
pubkeycol559 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0]
pubkeycol560 = [2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1]
pubkeycol561 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0]
pubkeycol562 = [0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2]
pubkeycol563 = [1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1]
pubkeycol564 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0]
pubkeycol565 = [0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0]
pubkeycol566 = [0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2]
pubkeycol567 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2]
pubkeycol568 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0]
pubkeycol569 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2]
pubkeycol570 = [2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2]
pubkeycol571 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0]
pubkeycol572 = [2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1]
pubkeycol573 = [1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1]
pubkeycol574 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1]
pubkeycol575 = [0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0]
pubkeycol576 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2]
pubkeycol577 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2]
pubkeycol578 = [2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0]
pubkeycol579 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2]
pubkeycol580 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1]
pubkeycol581 = [2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2]
pubkeycol582 = [1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1]
pubkeycol583 = [1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2]
pubkeycol584 = [2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0]
pubkeycol585 = [2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0]
pubkeycol586 = [1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2]
pubkeycol587 = [0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2]
pubkeycol588 = [1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0]
pubkeycol589 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2]
pubkeycol590 = [2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1]
pubkeycol591 = [1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0]
pubkeycol592 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2]
pubkeycol593 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0]
pubkeycol594 = [2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1]
pubkeycol595 = [0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0]
pubkeycol596 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1]
pubkeycol597 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1]
pubkeycol598 = [2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0]
pubkeycol599 = [0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1]
pubkeycol600 = [2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2]
pubkeycol601 = [0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2]
pubkeycol602 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0]
pubkeycol603 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0]
pubkeycol604 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0]
pubkeycol605 = [0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1]
pubkeycol606 = [0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1]
pubkeycol607 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0]
pubkeycol608 = [2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0]
pubkeycol609 = [2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0]
pubkeycol610 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2]
pubkeycol611 = [2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2]
pubkeycol612 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0]
pubkeycol613 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0]
pubkeycol614 = [2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0]
pubkeycol615 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1]
pubkeycol616 = [2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1]
pubkeycol617 = [2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0]
pubkeycol618 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0]
pubkeycol619 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0]
pubkeycol620 = [2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1]
pubkeycol621 = [0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0]
pubkeycol622 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0]
pubkeycol623 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0]
pubkeycol624 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1]
pubkeycol625 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2]
pubkeycol626 = [0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0]
pubkeycol627 = [0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2]
pubkeycol628 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1]
pubkeycol629 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2]
pubkeycol630 = [2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2]
pubkeycol631 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2]
pubkeycol632 = [2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1]
pubkeycol633 = [0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0]
pubkeycol634 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0]
pubkeycol635 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0]
pubkeycol636 = [0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1]
pubkeycol637 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2]
pubkeycol638 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0]
pubkeycol639 = [2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1]
pubkeycol640 = [2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1]
pubkeycol641 = [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0]
pubkeycol642 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1]
pubkeycol643 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0]
pubkeycol644 = [1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1]
pubkeycol645 = [1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1]
pubkeycol646 = [0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2]
pubkeycol647 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0]
pubkeycol648 = [2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1]
pubkeycol649 = [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1]
pubkeycol650 = [2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1]
pubkeycol651 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2]
pubkeycol652 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0]
pubkeycol653 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0]
pubkeycol654 = [0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0]
pubkeycol655 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2]
pubkeycol656 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2]
pubkeycol657 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1]
pubkeycol658 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2]
pubkeycol659 = [2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0]
pubkeycol660 = [2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0]
pubkeycol661 = [2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0]
pubkeycol662 = [1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2]
pubkeycol663 = [1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2]
pubkeycol664 = [2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0]
pubkeycol665 = [0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2]
pubkeycol666 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0]
pubkeycol667 = [0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0]
pubkeycol668 = [1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1]
pubkeycol669 = [0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2]
pubkeycol670 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0]
pubkeycol671 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2]
pubkeycol672 = [1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1]
pubkeycol673 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0]
pubkeycol674 = [2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2]
pubkeycol675 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0]
pubkeycol676 = [2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2]
pubkeycol677 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0]
pubkeycol678 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2]
pubkeycol679 = [0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0]
pubkeycol680 = [1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0]
pubkeycol681 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2]
pubkeycol682 = [0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2]
pubkeycol683 = [0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0]
pubkeycol684 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0]
pubkeycol685 = [2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2]
pubkeycol686 = [0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1]
pubkeycol687 = [0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1]
pubkeycol688 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1]
pubkeycol689 = [0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0]
pubkeycol690 = [2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1]
pubkeycol691 = [0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0]
pubkeycol692 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0]
pubkeycol693 = [0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2]
pubkeycol694 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0]
pubkeycol695 = [1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2]
pubkeycol696 = [1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1]
pubkeycol697 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2]
pubkeycol698 = [2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2]
pubkeycol699 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0]
pubkeycol700 = [2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0]
pubkeycol701 = [1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1]
pubkeycol702 = [0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2]
pubkeycol703 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2]
pubkeycol704 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1]
pubkeycol705 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1]
pubkeycol706 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0]
pubkeycol707 = [1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0]
pubkeycol708 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2]
pubkeycol709 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2]
pubkeycol710 = [2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1]
pubkeycol711 = [0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0]
pubkeycol712 = [0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0]
pubkeycol713 = [0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0]
pubkeycol714 = [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1]
pubkeycol715 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0]
pubkeycol716 = [2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2]
pubkeycol717 = [1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1]
pubkeycol718 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1]
pubkeycol719 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1]
pubkeycol720 = [0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1]
pubkeycol721 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2]
pubkeycol722 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2]
pubkeycol723 = [1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1]
pubkeycol724 = [0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1]
pubkeycol725 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2]
pubkeycol726 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0]
pubkeycol727 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2]
pubkeycol728 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0]
pubkeycol729 = [0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0]
pubkeycol730 = [2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0]
pubkeycol731 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1]
pubkeycol732 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2]
pubkeycol733 = [2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0]
pubkeycol734 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2]
pubkeycol735 = [1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1]
pubkeycol736 = [2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1]
pubkeycol737 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1]
pubkeycol738 = [1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2]
pubkeycol739 = [1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0]
pubkeycol740 = [2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1]
pubkeycol741 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2]
pubkeycol742 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1]
pubkeycol743 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1]
pubkeycol744 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2]
pubkeycol745 = [2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1]
pubkeycol746 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2]
pubkeycol747 = [0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2]
pubkeycol748 = [0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2]
pubkeycol749 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1]
pubkeycol750 = [0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2]
pubkeycol751 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0]
pubkeycol752 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2]
pubkeycol753 = [2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1]
pubkeycol754 = [2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1]
pubkeycol755 = [1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1]
pubkeycol756 = [2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1]
pubkeycol757 = [1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1]
pubkeycol758 = [0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0]
pubkeycol759 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2]
pubkeycol760 = [2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0]
pubkeycol761 = [0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2]
pubkeycol762 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2]
pubkeycol763 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1]
pubkeycol764 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0]
pubkeycol765 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2]
pubkeycol766 = [2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2]
pubkeycol767 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1]
pubkeycol768 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1]
pubkeycol769 = [0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0]
pubkeycol770 = [2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0]
pubkeycol771 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1]
pubkeycol772 = [2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0]
pubkeycol773 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1]
pubkeycol774 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1]
pubkeycol775 = [0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1]
pubkeycol776 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1]
pubkeycol777 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1]
pubkeycol778 = [1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2]
pubkeycol779 = [2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1]
pubkeycol780 = [1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2]
pubkeycol781 = [0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0]
pubkeycol782 = [2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0]
pubkeycol783 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2]
pubkeycol784 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1]
pubkeycol785 = [2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1]
pubkeycol786 = [1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1]
pubkeycol787 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1]
pubkeycol788 = [0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1]
pubkeycol789 = [1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2]
pubkeycol790 = [1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1]
pubkeycol791 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2]
pubkeycol792 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2]
pubkeycol793 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1]
pubkeycol794 = [2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0]
pubkeycol795 = [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2]
pubkeycol796 = [2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0]
pubkeycol797 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2]
pubkeycol798 = [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2]
pubkeycol799 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0]
pubkeycol800 = [1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0]
pubkeycol801 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1]
pubkeycol802 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0]
pubkeycol803 = [1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1]
pubkeycol804 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2]
pubkeycol805 = [2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2]
pubkeycol806 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2]
pubkeycol807 = [2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0]
pubkeycol808 = [2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0]
pubkeycol809 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2]
pubkeycol810 = [0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0]
pubkeycol811 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0]
pubkeycol812 = [1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0]
pubkeycol813 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1]
pubkeycol814 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1]
pubkeycol815 = [0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1]
pubkeycol816 = [1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2]
pubkeycol817 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1]
pubkeycol818 = [1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0]
pubkeycol819 = [0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0]
pubkeycol820 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2]
pubkeycol821 = [0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2]
pubkeycol822 = [1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1]
pubkeycol823 = [0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1]
pubkeycol824 = [2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1]
pubkeycol825 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2]
pubkeycol826 = [1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2]
pubkeycol827 = [0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0]
pubkeycol828 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0]
pubkeycol829 = [0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2]
pubkeycol830 = [2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0]
pubkeycol831 = [2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1]
pubkeycol832 = [0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1]
pubkeycol833 = [0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2]
pubkeycol834 = [1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0]
pubkeycol835 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0]
pubkeycol836 = [1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2]
pubkeycol837 = [1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1]
pubkeycol838 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2]
pubkeycol839 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1]
pubkeycol840 = [0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1]
pubkeycol841 = [0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0]
pubkeycol842 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1]
pubkeycol843 = [1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1]
pubkeycol844 = [0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1]
pubkeycol845 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2]
pubkeycol846 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0]
pubkeycol847 = [2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2]
pubkeycol848 = [2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0]
pubkeycol849 = [0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0]
pubkeycol850 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2]
pubkeycol851 = [2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0]
pubkeycol852 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0]
pubkeycol853 = [0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2]
pubkeycol854 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2]
pubkeycol855 = [0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2]
pubkeycol856 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1]
pubkeycol857 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2]
pubkeycol858 = [0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0]
pubkeycol859 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0]
pubkeycol860 = [0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0]
pubkeycol861 = [0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2]
pubkeycol862 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2]
pubkeycol863 = [0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1]
pubkeycol864 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0]
pubkeycol865 = [0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0]
pubkeycol866 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0]
pubkeycol867 = [1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1]
pubkeycol868 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0]
pubkeycol869 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2]
pubkeycol870 = [1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1]
pubkeycol871 = [2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1]
pubkeycol872 = [1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1]
pubkeycol873 = [1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1]
pubkeycol874 = [1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1]
pubkeycol875 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0]
pubkeycol876 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0]
pubkeycol877 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1]
pubkeycol878 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0]
pubkeycol879 = [1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2]
pubkeycol880 = [1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2]
pubkeycol881 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0]
pubkeycol882 = [2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1]
pubkeycol883 = [0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2]
pubkeycol884 = [0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1]
pubkeycol885 = [1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0]
pubkeycol886 = [0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0]
pubkeycol887 = [1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2]
pubkeycol888 = [1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1]
pubkeycol889 = [1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1]
pubkeycol890 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2]
pubkeycol891 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2]
pubkeycol892 = [1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0]
pubkeycol893 = [2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0]
pubkeycol894 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0]
pubkeycol895 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1]
pubkeycol896 = [1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0]
pubkeycol897 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2]
pubkeycol898 = [1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1]
pubkeycol899 = [0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1]
pubkeycol900 = [1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2]
pubkeycol901 = [0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2]
pubkeycol902 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0]
pubkeycol903 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1]
pubkeycol904 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1]
pubkeycol905 = [0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1]
pubkeycol906 = [0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol907 = [1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1]
pubkeycol908 = [2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0]
pubkeycol909 = [2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2]
pubkeycol910 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2]
pubkeycol911 = [2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1]
pubkeycol912 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1]
pubkeycol913 = [2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2]
pubkeycol914 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1]
pubkeycol915 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2]
pubkeycol916 = [0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2]
pubkeycol917 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1]
pubkeycol918 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2]
pubkeycol919 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0]
pubkeycol920 = [1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1]
pubkeycol921 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0]
pubkeycol922 = [0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1]
pubkeycol923 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0]
pubkeycol924 = [1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0]
pubkeycol925 = [0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1]
pubkeycol926 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0]
pubkeycol927 = [0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2]
pubkeycol928 = [0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1]
pubkeycol929 = [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1]
pubkeycol930 = [2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1]
pubkeycol931 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2]
pubkeycol932 = [0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2]
pubkeycol933 = [1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0]
pubkeycol934 = [2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0]
pubkeycol935 = [0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2]
pubkeycol936 = [2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0]
pubkeycol937 = [0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2]
pubkeycol938 = [1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2]
pubkeycol939 = [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2]
pubkeycol940 = [2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1]
pubkeycol941 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2]
pubkeycol942 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0]
pubkeycol943 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0]
pubkeycol944 = [0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1]
pubkeycol945 = [2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2]
pubkeycol946 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0]
pubkeycol947 = [0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0]
pubkeycol948 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0]
pubkeycol949 = [2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2]
pubkeycol950 = [2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0]
pubkeycol951 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1]
pubkeycol952 = [1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2]
pubkeycol953 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1]
pubkeycol954 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0]
pubkeycol955 = [0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1]
pubkeycol956 = [0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2]
pubkeycol957 = [0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1]
pubkeycol958 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0]
pubkeycol959 = [0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0]
pubkeycol960 = [0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1]
pubkeycol961 = [1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0]
pubkeycol962 = [0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0]
pubkeycol963 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1]
pubkeycol964 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0]
pubkeycol965 = [0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0]
pubkeycol966 = [2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0]
pubkeycol967 = [0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0]
pubkeycol968 = [1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0]
pubkeycol969 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0]
pubkeycol970 = [2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1]
pubkeycol971 = [0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2]
pubkeycol972 = [2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1]
pubkeycol973 = [0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1]
pubkeycol974 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2]
pubkeycol975 = [0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1]
pubkeycol976 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2]
pubkeycol977 = [0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1]
pubkeycol978 = [0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0]
pubkeycol979 = [1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1]
pubkeycol980 = [2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1]
pubkeycol981 = [1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0]
pubkeycol982 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0]
pubkeycol983 = [0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1]
pubkeycol984 = [0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2]
pubkeycol985 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0]
pubkeycol986 = [1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2]
pubkeycol987 = [1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2]
pubkeycol988 = [2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1]
pubkeycol989 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2]
pubkeycol990 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2]
pubkeycol991 = [0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0]
pubkeycol992 = [0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0]
pubkeycol993 = [2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1]
pubkeycol994 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1]
pubkeycol995 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0]
pubkeycol996 = [1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1]
pubkeycol997 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1]
pubkeycol998 = [2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2]
pubkeycol999 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2]
pubkeycol1000 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0]
pubkeycol1001 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2]
pubkeycol1002 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2]
pubkeycol1003 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0]
pubkeycol1004 = [0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2]
pubkeycol1005 = [2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2]
pubkeycol1006 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1]
pubkeycol1007 = [0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2]
pubkeycol1008 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2]
pubkeycol1009 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0]
pubkeycol1010 = [2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0]
pubkeycol1011 = [0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0]
pubkeycol1012 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2]
pubkeycol1013 = [1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1]
pubkeycol1014 = [2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2]
pubkeycol1015 = [0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0]
pubkeycol1016 = [1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1]
pubkeycol1017 = [0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1]
pubkeycol1018 = [2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1]
pubkeycol1019 = [0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1]
pubkeycol1020 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2]
pubkeycol1021 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2]
pubkeycol1022 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2]
pubkeycol1023 = [0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0]
pubkeycol1024 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0]
pubkeycol1025 = [1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0]
pubkeycol1026 = [2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1]
pubkeycol1027 = [2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0]
pubkeycol1028 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0]
pubkeycol1029 = [2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0]
pubkeycol1030 = [0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1]
pubkeycol1031 = [1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2]
pubkeycol1032 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1]
pubkeycol1033 = [2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1]
pubkeycol1034 = [1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1]
pubkeycol1035 = [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1]
pubkeycol1036 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1]
pubkeycol1037 = [0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1]
pubkeycol1038 = [0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0]
pubkeycol1039 = [2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1]
pubkeycol1040 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2]
pubkeycol1041 = [0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1]
pubkeycol1042 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0]
pubkeycol1043 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2]
pubkeycol1044 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1]
pubkeycol1045 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2]
pubkeycol1046 = [2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2]
pubkeycol1047 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2]
pubkeycol1048 = [1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0]
pubkeycol1049 = [0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2]
pubkeycol1050 = [1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1]
pubkeycol1051 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2]
pubkeycol1052 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1]
pubkeycol1053 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1]
pubkeycol1054 = [1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0]
pubkeycol1055 = [0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2]
pubkeycol1056 = [1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2]
pubkeycol1057 = [0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2]
pubkeycol1058 = [2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1059 = [1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2]
pubkeycol1060 = [1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1]
pubkeycol1061 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2]
pubkeycol1062 = [0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0]
pubkeycol1063 = [0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1]
pubkeycol1064 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2]
pubkeycol1065 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0]
pubkeycol1066 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2]
pubkeycol1067 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2]
pubkeycol1068 = [0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0]
pubkeycol1069 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2]
pubkeycol1070 = [0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1071 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0]
pubkeycol1072 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2]
pubkeycol1073 = [1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2]
pubkeycol1074 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2]
pubkeycol1075 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1]
pubkeycol1076 = [0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2]
pubkeycol1077 = [1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2]
pubkeycol1078 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0]
pubkeycol1079 = [1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2]
pubkeycol1080 = [2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0]
pubkeycol1081 = [0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1]
pubkeycol1082 = [0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0]
pubkeycol1083 = [1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0]
pubkeycol1084 = [2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1]
pubkeycol1085 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1]
pubkeycol1086 = [1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2]
pubkeycol1087 = [1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2]
pubkeycol1088 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0]
pubkeycol1089 = [1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0]
pubkeycol1090 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0]
pubkeycol1091 = [1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1092 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1]
pubkeycol1093 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1]
pubkeycol1094 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0]
pubkeycol1095 = [0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2]
pubkeycol1096 = [0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2]
pubkeycol1097 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1]
pubkeycol1098 = [1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1]
pubkeycol1099 = [2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2]
pubkeycol1100 = [2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0]
pubkeycol1101 = [2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0]
pubkeycol1102 = [1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2]
pubkeycol1103 = [2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1]
pubkeycol1104 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1]
pubkeycol1105 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1]
pubkeycol1106 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0]
pubkeycol1107 = [0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2]
pubkeycol1108 = [0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1]
pubkeycol1109 = [2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0]
pubkeycol1110 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2]
pubkeycol1111 = [1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1]
pubkeycol1112 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2]
pubkeycol1113 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0]
pubkeycol1114 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2]
pubkeycol1115 = [1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2]
pubkeycol1116 = [1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1]
pubkeycol1117 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1]
pubkeycol1118 = [2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2]
pubkeycol1119 = [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1120 = [0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0]
pubkeycol1121 = [2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0]
pubkeycol1122 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1]
pubkeycol1123 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0]
pubkeycol1124 = [2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1]
pubkeycol1125 = [1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0]
pubkeycol1126 = [2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1]
pubkeycol1127 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0]
pubkeycol1128 = [1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1]
pubkeycol1129 = [1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2]
pubkeycol1130 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1]
pubkeycol1131 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0]
pubkeycol1132 = [1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2]
pubkeycol1133 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2]
pubkeycol1134 = [0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0]
pubkeycol1135 = [2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2]
pubkeycol1136 = [1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1]
pubkeycol1137 = [0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0]
pubkeycol1138 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2]
pubkeycol1139 = [2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2]
pubkeycol1140 = [2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2]
pubkeycol1141 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2]
pubkeycol1142 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2]
pubkeycol1143 = [2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2]
pubkeycol1144 = [1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2]
pubkeycol1145 = [0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0]
pubkeycol1146 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0]
pubkeycol1147 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2]
pubkeycol1148 = [1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2]
pubkeycol1149 = [2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1]
pubkeycol1150 = [0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2]
pubkeycol1151 = [2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1152 = [2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1]
pubkeycol1153 = [1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1]
pubkeycol1154 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2]
pubkeycol1155 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1]
pubkeycol1156 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2]
pubkeycol1157 = [0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1]
pubkeycol1158 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0]
pubkeycol1159 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2]
pubkeycol1160 = [1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1]
pubkeycol1161 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2]
pubkeycol1162 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0]
pubkeycol1163 = [2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0]
pubkeycol1164 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0]
pubkeycol1165 = [2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2]
pubkeycol1166 = [0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0]
pubkeycol1167 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2]
pubkeycol1168 = [0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2]
pubkeycol1169 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2]
pubkeycol1170 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1]
pubkeycol1171 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0]
pubkeycol1172 = [1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0]
pubkeycol1173 = [0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1]
pubkeycol1174 = [0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2]
pubkeycol1175 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0]
pubkeycol1176 = [2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0]
pubkeycol1177 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0]
pubkeycol1178 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0]
pubkeycol1179 = [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2]
pubkeycol1180 = [1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1]
pubkeycol1181 = [2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0]
pubkeycol1182 = [2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0]
pubkeycol1183 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2]
pubkeycol1184 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2]
pubkeycol1185 = [1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2]
pubkeycol1186 = [2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0]
pubkeycol1187 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1]
pubkeycol1188 = [2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0]
pubkeycol1189 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2]
pubkeycol1190 = [0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2]
pubkeycol1191 = [1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0]
pubkeycol1192 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0]
pubkeycol1193 = [0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0]
pubkeycol1194 = [0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1]
pubkeycol1195 = [2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1]
pubkeycol1196 = [2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2]
pubkeycol1197 = [1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0]
pubkeycol1198 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2]
pubkeycol1199 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0]
pubkeycol1200 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2]
pubkeycol1201 = [2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1]
pubkeycol1202 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1]
pubkeycol1203 = [0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2]
pubkeycol1204 = [1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2]
pubkeycol1205 = [0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0]
pubkeycol1206 = [2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2]
pubkeycol1207 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1]
pubkeycol1208 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2]
pubkeycol1209 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1]
pubkeycol1210 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0]
pubkeycol1211 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2]
pubkeycol1212 = [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0]
pubkeycol1213 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0]
pubkeycol1214 = [0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2]
pubkeycol1215 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1]
pubkeycol1216 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0]
pubkeycol1217 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1]
pubkeycol1218 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0]
pubkeycol1219 = [2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1]
pubkeycol1220 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0]
pubkeycol1221 = [1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1]
pubkeycol1222 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0]
pubkeycol1223 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2]
pubkeycol1224 = [0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0]
pubkeycol1225 = [1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2]
pubkeycol1226 = [2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2]
pubkeycol1227 = [1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2]
pubkeycol1228 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1]
pubkeycol1229 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0]
pubkeycol1230 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2]
pubkeycol1231 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2]
pubkeycol1232 = [2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0]
pubkeycol1233 = [1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1]
pubkeycol1234 = [0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1]
pubkeycol1235 = [2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0]
pubkeycol1236 = [1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0]
pubkeycol1237 = [1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1]
pubkeycol1238 = [1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1]
pubkeycol1239 = [2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0]
pubkeycol1240 = [2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0]
pubkeycol1241 = [0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2]
pubkeycol1242 = [1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0]
pubkeycol1243 = [1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0]
pubkeycol1244 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0]
pubkeycol1245 = [0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1]
pubkeycol1246 = [1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0]
pubkeycol1247 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1]
pubkeycol1248 = [2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0]
pubkeycol1249 = [1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2]
pubkeycol1250 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0]
pubkeycol1251 = [1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0]
pubkeycol1252 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0]
pubkeycol1253 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0]
pubkeycol1254 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1]
pubkeycol1255 = [1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2]
pubkeycol1256 = [2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1]
pubkeycol1257 = [1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1]
pubkeycol1258 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1]
pubkeycol1259 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0]
pubkeycol1260 = [1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1]
pubkeycol1261 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1]
pubkeycol1262 = [0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0]
pubkeycol1263 = [2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2]
pubkeycol1264 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0]
pubkeycol1265 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1266 = [1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0]
pubkeycol1267 = [2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1]
pubkeycol1268 = [0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1]
pubkeycol1269 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1]
pubkeycol1270 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2]
pubkeycol1271 = [1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2]
pubkeycol1272 = [1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0]
pubkeycol1273 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0]
pubkeycol1274 = [1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2]
pubkeycol1275 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0]
pubkeycol1276 = [1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0]
pubkeycol1277 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1]
pubkeycol1278 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0]
pubkeycol1279 = [0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0]
pubkeycol1280 = [1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2]
pubkeycol1281 = [2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0]
pubkeycol1282 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1]
pubkeycol1283 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1]
pubkeycol1284 = [1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1]
pubkeycol1285 = [2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2]
pubkeycol1286 = [2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2]
pubkeycol1287 = [1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1]
pubkeycol1288 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2]
pubkeycol1289 = [1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1]
pubkeycol1290 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2]
pubkeycol1291 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0]
pubkeycol1292 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0]
pubkeycol1293 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2]
pubkeycol1294 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1]
pubkeycol1295 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1]
pubkeycol1296 = [2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2]
pubkeycol1297 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2]
pubkeycol1298 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0]
pubkeycol1299 = [1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1]
pubkeycol1300 = [2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol1301 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0]
pubkeycol1302 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2]
pubkeycol1303 = [2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1]
pubkeycol1304 = [1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0]
pubkeycol1305 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0]
pubkeycol1306 = [2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0]
pubkeycol1307 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0]
pubkeycol1308 = [0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2]
pubkeycol1309 = [2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1]
pubkeycol1310 = [1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1]
pubkeycol1311 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2]
pubkeycol1312 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0]
pubkeycol1313 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0]
pubkeycol1314 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1]
pubkeycol1315 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2]
pubkeycol1316 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2]
pubkeycol1317 = [0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1]
pubkeycol1318 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0]
pubkeycol1319 = [1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2]
pubkeycol1320 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1]
pubkeycol1321 = [0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2]
pubkeycol1322 = [2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0]
pubkeycol1323 = [2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1]
pubkeycol1324 = [2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2]
pubkeycol1325 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2]
pubkeycol1326 = [0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0]
pubkeycol1327 = [2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0]
pubkeycol1328 = [0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0]
pubkeycol1329 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2]
pubkeycol1330 = [1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2]
pubkeycol1331 = [1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2]
pubkeycol1332 = [0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0]
pubkeycol1333 = [2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0]
pubkeycol1334 = [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1]
pubkeycol1335 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0]
pubkeycol1336 = [2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1]
pubkeycol1337 = [1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2]
pubkeycol1338 = [0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0]
pubkeycol1339 = [2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0]
pubkeycol1340 = [2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2]
pubkeycol1341 = [0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0]
pubkeycol1342 = [2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1]
pubkeycol1343 = [0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1]
pubkeycol1344 = [2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1]
pubkeycol1345 = [0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2]
pubkeycol1346 = [2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0]
pubkeycol1347 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1]
pubkeycol1348 = [0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2]
pubkeycol1349 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0]
pubkeycol1350 = [2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0]
pubkeycol1351 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2]
pubkeycol1352 = [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1]
pubkeycol1353 = [0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1]
pubkeycol1354 = [2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2]
pubkeycol1355 = [1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2]
pubkeycol1356 = [1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0]
pubkeycol1357 = [1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1]
pubkeycol1358 = [2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1]
pubkeycol1359 = [0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1]
pubkeycol1360 = [0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2]
pubkeycol1361 = [2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1]
pubkeycol1362 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2]
pubkeycol1363 = [0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2]
pubkeycol1364 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1]
pubkeycol1365 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2]
pubkeycol1366 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2]
pubkeycol1367 = [2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2]
pubkeycol1368 = [1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0]
pubkeycol1369 = [2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2]
pubkeycol1370 = [1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1]
pubkeycol1371 = [1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0]
pubkeycol1372 = [2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2]
pubkeycol1373 = [0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2]
pubkeycol1374 = [0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1]
pubkeycol1375 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1]
pubkeycol1376 = [2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0]
pubkeycol1377 = [2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1]
pubkeycol1378 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1]
pubkeycol1379 = [2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2]
pubkeycol1380 = [2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2]
pubkeycol1381 = [2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0]
pubkeycol1382 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2]
pubkeycol1383 = [2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1]
pubkeycol1384 = [0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2]
pubkeycol1385 = [2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0]
pubkeycol1386 = [1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1]
pubkeycol1387 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0]
pubkeycol1388 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2]
pubkeycol1389 = [0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2]
pubkeycol1390 = [1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0]
pubkeycol1391 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2]
pubkeycol1392 = [0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2]
pubkeycol1393 = [0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2]
pubkeycol1394 = [2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2]
pubkeycol1395 = [0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2]
pubkeycol1396 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0]
pubkeycol1397 = [1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0]
pubkeycol1398 = [0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2]
pubkeycol1399 = [2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0]
pubkeycol1400 = [0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2]
pubkeycol1401 = [0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1]
pubkeycol1402 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0]
pubkeycol1403 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2]
pubkeycol1404 = [1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1]
pubkeycol1405 = [0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2]
pubkeycol1406 = [1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2]
pubkeycol1407 = [2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0]
pubkeycol1408 = [2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1]
pubkeycol1409 = [2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2]
pubkeycol1410 = [1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1]
pubkeycol1411 = [1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1]
pubkeycol1412 = [0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2]
pubkeycol1413 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0]
pubkeycol1414 = [1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1]
pubkeycol1415 = [0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0]
pubkeycol1416 = [1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2]
pubkeycol1417 = [1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0]
pubkeycol1418 = [2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1]
pubkeycol1419 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1]
pubkeycol1420 = [0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1]
pubkeycol1421 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0]
pubkeycol1422 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1]
pubkeycol1423 = [2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2]
pubkeycol1424 = [1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1]
pubkeycol1425 = [1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1]
pubkeycol1426 = [2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1]
pubkeycol1427 = [2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0]
pubkeycol1428 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0]
pubkeycol1429 = [2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1]
pubkeycol1430 = [2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2]
pubkeycol1431 = [0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1]
pubkeycol1432 = [0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2]
pubkeycol1433 = [1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1]
pubkeycol1434 = [1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0]
pubkeycol1435 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1]
pubkeycol1436 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2]
pubkeycol1437 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0]
pubkeycol1438 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0]
pubkeycol1439 = [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0]
pubkeycol1440 = [0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0]
pubkeycol1441 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2]
pubkeycol1442 = [2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1]
pubkeycol1443 = [2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0]
pubkeycol1444 = [2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0]
pubkeycol1445 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2]
pubkeycol1446 = [2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0]
pubkeycol1447 = [2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1]
pubkeycol1448 = [0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1]
pubkeycol1449 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0]
pubkeycol1450 = [2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1]
pubkeycol1451 = [0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1]
pubkeycol1452 = [2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0]
pubkeycol1453 = [1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2]
pubkeycol1454 = [1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1]
pubkeycol1455 = [1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1]
pubkeycol1456 = [0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2]
pubkeycol1457 = [0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0]
pubkeycol1458 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2]
pubkeycol1459 = [0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1]
pubkeycol1460 = [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1]
pubkeycol1461 = [0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0]
pubkeycol1462 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2]
pubkeycol1463 = [1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0]
pubkeycol1464 = [0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0]
pubkeycol1465 = [2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0]
pubkeycol1466 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2]
pubkeycol1467 = [0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0]
pubkeycol1468 = [0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2]
pubkeycol1469 = [1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0]
pubkeycol1470 = [2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2]
pubkeycol1471 = [1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2]
pubkeycol1472 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0]
pubkeycol1473 = [2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1]
pubkeycol1474 = [0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1]
pubkeycol1475 = [0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2]
pubkeycol1476 = [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0]
pubkeycol1477 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1]
pubkeycol1478 = [2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0]
pubkeycol1479 = [0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1]
pubkeycol1480 = [1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0]
pubkeycol1481 = [2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2]
pubkeycol1482 = [2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1]
pubkeycol1483 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2]
pubkeycol1484 = [2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1]
pubkeycol1485 = [1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0]
pubkeycol1486 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2]
pubkeycol1487 = [2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0]
pubkeycol1488 = [0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0]
pubkeycol1489 = [0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1]
pubkeycol1490 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0]
pubkeycol1491 = [1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2]
pubkeycol1492 = [0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0]
pubkeycol1493 = [1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2]
pubkeycol1494 = [1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1]
pubkeycol1495 = [1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2]
pubkeycol1496 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0]
pubkeycol1497 = [0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2]
pubkeycol1498 = [2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0]
pubkeycol1499 = [1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1]
pubkeycol1500 = [1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2]
pubkeycol1501 = [1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2]
pubkeycol1502 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0]
pubkeycol1503 = [1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0]
pubkeycol1504 = [0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0]
pubkeycol1505 = [2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0]
pubkeycol1506 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0]
pubkeycol1507 = [2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0]
pubkeycol1508 = [1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1]
pubkeycol1509 = [0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2]
pubkeycol1510 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1]
pubkeycol1511 = [0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2]
pubkeycol1512 = [0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2]
pubkeycol1513 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1]
pubkeycol1514 = [0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0]
pubkeycol1515 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2]
pubkeycol1516 = [1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2]
pubkeycol1517 = [1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2]
pubkeycol1518 = [0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1]
pubkeycol1519 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0]
pubkeycol1520 = [0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0]
pubkeycol1521 = [1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0]
pubkeycol1522 = [0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0]
pubkeycol1523 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2]
pubkeycol1524 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1]
pubkeycol1525 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2]
pubkeycol1526 = [0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol1527 = [2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1]
pubkeycol1528 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1]
pubkeycol1529 = [1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2]
pubkeycol1530 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2]
pubkeycol1531 = [2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0]
pubkeycol1532 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2]
pubkeycol1533 = [2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0]
pubkeycol1534 = [0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1]
pubkeycol1535 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2]
pubkeycol1536 = [0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1]
pubkeycol1537 = [1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1]
pubkeycol1538 = [2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0]
pubkeycol1539 = [1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0]
pubkeycol1540 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2]
pubkeycol1541 = [2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1]
pubkeycol1542 = [0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2]
pubkeycol1543 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2]
pubkeycol1544 = [2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2]
pubkeycol1545 = [0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0]
pubkeycol1546 = [2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1]
pubkeycol1547 = [0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0]
pubkeycol1548 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2]
pubkeycol1549 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2]
pubkeycol1550 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0]
pubkeycol1551 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1]
pubkeycol1552 = [2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0]
pubkeycol1553 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0]
pubkeycol1554 = [0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0]
pubkeycol1555 = [0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1]
pubkeycol1556 = [0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1]
pubkeycol1557 = [0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2]
pubkeycol1558 = [2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2]
pubkeycol1559 = [1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2]
pubkeycol1560 = [0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1561 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2]
pubkeycol1562 = [0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2]
pubkeycol1563 = [1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0]
pubkeycol1564 = [1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0]
pubkeycol1565 = [1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2]
pubkeycol1566 = [1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2]
pubkeycol1567 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1]
pubkeycol1568 = [1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0]
pubkeycol1569 = [1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1]
pubkeycol1570 = [1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0]
pubkeycol1571 = [2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0]
pubkeycol1572 = [0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0]
pubkeycol1573 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0]
pubkeycol1574 = [0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2]
pubkeycol1575 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0]
pubkeycol1576 = [0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2]
pubkeycol1577 = [2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2]
pubkeycol1578 = [1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0]
pubkeycol1579 = [2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2]
pubkeycol1580 = [2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1]
pubkeycol1581 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2]
pubkeycol1582 = [0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1]
pubkeycol1583 = [1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2]
pubkeycol1584 = [2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1]
pubkeycol1585 = [2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2]
pubkeycol1586 = [0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1]
pubkeycol1587 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1]
pubkeycol1588 = [2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1]
pubkeycol1589 = [0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0]
pubkeycol1590 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2]
pubkeycol1591 = [1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0]
pubkeycol1592 = [0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2]
pubkeycol1593 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2]
pubkeycol1594 = [2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0]
pubkeycol1595 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2]
pubkeycol1596 = [2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0]
pubkeycol1597 = [1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1]
pubkeycol1598 = [0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1]
pubkeycol1599 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2]
pubkeycol1600 = [2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2]
pubkeycol1601 = [1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0]
pubkeycol1602 = [1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2]
pubkeycol1603 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0]
pubkeycol1604 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1]
pubkeycol1605 = [0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1]
pubkeycol1606 = [0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1]
pubkeycol1607 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0]
pubkeycol1608 = [2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1609 = [1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1610 = [2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0]
pubkeycol1611 = [2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0]
pubkeycol1612 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2]
pubkeycol1613 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0]
pubkeycol1614 = [0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2]
pubkeycol1615 = [0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0]
pubkeycol1616 = [0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2]
pubkeycol1617 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0]
pubkeycol1618 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0]
pubkeycol1619 = [2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2]
pubkeycol1620 = [0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2]
pubkeycol1621 = [1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2]
pubkeycol1622 = [1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0]
pubkeycol1623 = [1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2]
pubkeycol1624 = [0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0]
pubkeycol1625 = [2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1]
pubkeycol1626 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0]
pubkeycol1627 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0]
pubkeycol1628 = [2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1]
pubkeycol1629 = [0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1630 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2]
pubkeycol1631 = [0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0]
pubkeycol1632 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2]
pubkeycol1633 = [0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0]
pubkeycol1634 = [0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0]
pubkeycol1635 = [0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1]
pubkeycol1636 = [0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0]
pubkeycol1637 = [2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0]
pubkeycol1638 = [2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2]
pubkeycol1639 = [0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1]
pubkeycol1640 = [2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2]
pubkeycol1641 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0]
pubkeycol1642 = [2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0]
pubkeycol1643 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2]
pubkeycol1644 = [1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2]
pubkeycol1645 = [2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2]
pubkeycol1646 = [1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0]
pubkeycol1647 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2]
pubkeycol1648 = [0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1]
pubkeycol1649 = [2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2]
pubkeycol1650 = [0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1]
pubkeycol1651 = [2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0]
pubkeycol1652 = [1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1]
pubkeycol1653 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2]
pubkeycol1654 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1]
pubkeycol1655 = [0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0]
pubkeycol1656 = [2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1]
pubkeycol1657 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2]
pubkeycol1658 = [0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1]
pubkeycol1659 = [1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2]
pubkeycol1660 = [1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1]
pubkeycol1661 = [2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0]
pubkeycol1662 = [1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2]
pubkeycol1663 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2]
pubkeycol1664 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1]
pubkeycol1665 = [1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2]
pubkeycol1666 = [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1]
pubkeycol1667 = [2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0]
pubkeycol1668 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2]
pubkeycol1669 = [1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2]