kilobytes = 79.7867646359123
q = 3
m = 7
n = 1444
s = 0
t = 28
u = 56
k = 1052
w = 42
ciphertext = [1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1]
recovered_plaintext_using_secret_key = True
pubkeycol392 = [2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1]
pubkeycol393 = [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1]
pubkeycol394 = [0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2]
pubkeycol395 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1]
pubkeycol396 = [2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1]
pubkeycol397 = [1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2]
pubkeycol398 = [1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1]
pubkeycol399 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1]
pubkeycol400 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0]
pubkeycol401 = [2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1]
pubkeycol402 = [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1]
pubkeycol403 = [0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2]
pubkeycol404 = [2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1]
pubkeycol405 = [1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0]
pubkeycol406 = [1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2]
pubkeycol407 = [1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0]
pubkeycol408 = [2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0]
pubkeycol409 = [2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1]
pubkeycol410 = [2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0]
pubkeycol411 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2]
pubkeycol412 = [0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1]
pubkeycol413 = [1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0]
pubkeycol414 = [1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0]
pubkeycol415 = [1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2]
pubkeycol416 = [2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2]
pubkeycol417 = [2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1]
pubkeycol418 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0]
pubkeycol419 = [0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2]
pubkeycol420 = [0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0]
pubkeycol421 = [2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2]
pubkeycol422 = [2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2]
pubkeycol423 = [0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2]
pubkeycol424 = [0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2]
pubkeycol425 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1]
pubkeycol426 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2]
pubkeycol427 = [2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0]
pubkeycol428 = [2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0]
pubkeycol429 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0]
pubkeycol430 = [1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0]
pubkeycol431 = [0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1]
pubkeycol432 = [0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0]
pubkeycol433 = [2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2]
pubkeycol434 = [1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1]
pubkeycol435 = [1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0]
pubkeycol436 = [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1]
pubkeycol437 = [2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2]
pubkeycol438 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1]
pubkeycol439 = [1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2]
pubkeycol440 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2]
pubkeycol441 = [2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0]
pubkeycol442 = [2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0]
pubkeycol443 = [1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0]
pubkeycol444 = [2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2]
pubkeycol445 = [0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1]
pubkeycol446 = [0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2]
pubkeycol447 = [0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2]
pubkeycol448 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1]
pubkeycol449 = [1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2]
pubkeycol450 = [1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2]
pubkeycol451 = [2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0]
pubkeycol452 = [0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2]
pubkeycol453 = [0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1]
pubkeycol454 = [1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2]
pubkeycol455 = [0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1]
pubkeycol456 = [0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0]
pubkeycol457 = [2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0]
pubkeycol458 = [2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1]
pubkeycol459 = [2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2]
pubkeycol460 = [0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0]
pubkeycol461 = [2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2]
pubkeycol462 = [2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2]
pubkeycol463 = [2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0]
pubkeycol464 = [1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0]
pubkeycol465 = [1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1]
pubkeycol466 = [0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2]
pubkeycol467 = [2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1]
pubkeycol468 = [1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1]
pubkeycol469 = [1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1]
pubkeycol470 = [0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1]
pubkeycol471 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1]
pubkeycol472 = [1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2]
pubkeycol473 = [2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2]
pubkeycol474 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0]
pubkeycol475 = [1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1]
pubkeycol476 = [1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2]
pubkeycol477 = [1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0]
pubkeycol478 = [2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2]
pubkeycol479 = [1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0]
pubkeycol480 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1]
pubkeycol481 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0]
pubkeycol482 = [2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1]
pubkeycol483 = [0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0]
pubkeycol484 = [1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0]
pubkeycol485 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1]
pubkeycol486 = [0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1]
pubkeycol487 = [0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0]
pubkeycol488 = [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0]
pubkeycol489 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1]
pubkeycol490 = [0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1]
pubkeycol491 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0]
pubkeycol492 = [1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2]
pubkeycol493 = [1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2]
pubkeycol494 = [0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1]
pubkeycol495 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0]
pubkeycol496 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0]
pubkeycol497 = [0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1]
pubkeycol498 = [2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2]
pubkeycol499 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0]
pubkeycol500 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0]
pubkeycol501 = [1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2]
pubkeycol502 = [0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1]
pubkeycol503 = [2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1]
pubkeycol504 = [2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0]
pubkeycol505 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2]
pubkeycol506 = [2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1]
pubkeycol507 = [0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2]
pubkeycol508 = [0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1]
pubkeycol509 = [1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0]
pubkeycol510 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0]
pubkeycol511 = [2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1]
pubkeycol512 = [2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1]
pubkeycol513 = [0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0]
pubkeycol514 = [2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1]
pubkeycol515 = [2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0]
pubkeycol516 = [2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0]
pubkeycol517 = [1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2]
pubkeycol518 = [2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2]
pubkeycol519 = [0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0]
pubkeycol520 = [0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0]
pubkeycol521 = [1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0]
pubkeycol522 = [0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1]
pubkeycol523 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2]
pubkeycol524 = [2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1]
pubkeycol525 = [0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0]
pubkeycol526 = [0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1]
pubkeycol527 = [0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1]
pubkeycol528 = [1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2]
pubkeycol529 = [0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2]
pubkeycol530 = [1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1]
pubkeycol531 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2]
pubkeycol532 = [0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0]
pubkeycol533 = [0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2]
pubkeycol534 = [0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2]
pubkeycol535 = [1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2]
pubkeycol536 = [0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2]
pubkeycol537 = [1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0]
pubkeycol538 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0]
pubkeycol539 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0]
pubkeycol540 = [0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1]
pubkeycol541 = [0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1]
pubkeycol542 = [0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2]
pubkeycol543 = [0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2]
pubkeycol544 = [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1]
pubkeycol545 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1]
pubkeycol546 = [0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0]
pubkeycol547 = [0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1]
pubkeycol548 = [0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2]
pubkeycol549 = [0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2]
pubkeycol550 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0]
pubkeycol551 = [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2]
pubkeycol552 = [1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1]
pubkeycol553 = [1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2]
pubkeycol554 = [1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0]
pubkeycol555 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0]
pubkeycol556 = [2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1]
pubkeycol557 = [1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2]
pubkeycol558 = [2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0]
pubkeycol559 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2]
pubkeycol560 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2]
pubkeycol561 = [0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2]
pubkeycol562 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1]
pubkeycol563 = [1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1]
pubkeycol564 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0]
pubkeycol565 = [2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1]
pubkeycol566 = [1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1]
pubkeycol567 = [2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2]
pubkeycol568 = [1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0]
pubkeycol569 = [2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0]
pubkeycol570 = [2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2]
pubkeycol571 = [1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0]
pubkeycol572 = [1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1]
pubkeycol573 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0]
pubkeycol574 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0]
pubkeycol575 = [2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1]
pubkeycol576 = [0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0]
pubkeycol577 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0]
pubkeycol578 = [0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1]
pubkeycol579 = [0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0]
pubkeycol580 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol581 = [2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1]
pubkeycol582 = [1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2]
pubkeycol583 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1]
pubkeycol584 = [1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0]
pubkeycol585 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1]
pubkeycol586 = [1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1]
pubkeycol587 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0]
pubkeycol588 = [2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1]
pubkeycol589 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2]
pubkeycol590 = [0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1]
pubkeycol591 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2]
pubkeycol592 = [2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1]
pubkeycol593 = [2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0]
pubkeycol594 = [0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2]
pubkeycol595 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2]
pubkeycol596 = [1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2]
pubkeycol597 = [2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1]
pubkeycol598 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2]
pubkeycol599 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2]
pubkeycol600 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0]
pubkeycol601 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0]
pubkeycol602 = [1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1]
pubkeycol603 = [1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0]
pubkeycol604 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2]
pubkeycol605 = [0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0]
pubkeycol606 = [2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2]
pubkeycol607 = [0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0]
pubkeycol608 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1]
pubkeycol609 = [2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0]
pubkeycol610 = [0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2]
pubkeycol611 = [0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1]
pubkeycol612 = [2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1]
pubkeycol613 = [1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1]
pubkeycol614 = [1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1]
pubkeycol615 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1]
pubkeycol616 = [0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0]
pubkeycol617 = [2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0]
pubkeycol618 = [2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2]
pubkeycol619 = [2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2]
pubkeycol620 = [2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1]
pubkeycol621 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2]
pubkeycol622 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2]
pubkeycol623 = [1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2]
pubkeycol624 = [1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1]
pubkeycol625 = [1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2]
pubkeycol626 = [0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1]
pubkeycol627 = [1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1]
pubkeycol628 = [1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2]
pubkeycol629 = [1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1]
pubkeycol630 = [1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1]
pubkeycol631 = [2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1]
pubkeycol632 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2]
pubkeycol633 = [1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2]
pubkeycol634 = [2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0]
pubkeycol635 = [2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2]
pubkeycol636 = [0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1]
pubkeycol637 = [1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2]
pubkeycol638 = [1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2]
pubkeycol639 = [1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1]
pubkeycol640 = [2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0]
pubkeycol641 = [1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1]
pubkeycol642 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2]
pubkeycol643 = [2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2]
pubkeycol644 = [2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2]
pubkeycol645 = [2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0]
pubkeycol646 = [1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0]
pubkeycol647 = [2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1]
pubkeycol648 = [1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0]
pubkeycol649 = [1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0]
pubkeycol650 = [1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1]
pubkeycol651 = [2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2]
pubkeycol652 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0]
pubkeycol653 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1]
pubkeycol654 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1]
pubkeycol655 = [1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol656 = [0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1]
pubkeycol657 = [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2]
pubkeycol658 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2]
pubkeycol659 = [0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2]
pubkeycol660 = [1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0]
pubkeycol661 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0]
pubkeycol662 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1]
pubkeycol663 = [1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1]
pubkeycol664 = [1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1]
pubkeycol665 = [0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0]
pubkeycol666 = [0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1]
pubkeycol667 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0]
pubkeycol668 = [0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2]
pubkeycol669 = [2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2]
pubkeycol670 = [2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2]
pubkeycol671 = [0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1]
pubkeycol672 = [1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1]
pubkeycol673 = [1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1]
pubkeycol674 = [0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0]
pubkeycol675 = [0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0]
pubkeycol676 = [1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0]
pubkeycol677 = [0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1]
pubkeycol678 = [2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2]
pubkeycol679 = [1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0]
pubkeycol680 = [0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1]
pubkeycol681 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2]
pubkeycol682 = [0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2]
pubkeycol683 = [2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0]
pubkeycol684 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1]
pubkeycol685 = [1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1]
pubkeycol686 = [2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1]
pubkeycol687 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0]
pubkeycol688 = [0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2]
pubkeycol689 = [1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2]
pubkeycol690 = [1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0]
pubkeycol691 = [2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1]
pubkeycol692 = [0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1]
pubkeycol693 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1]
pubkeycol694 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1]
pubkeycol695 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1]
pubkeycol696 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0]
pubkeycol697 = [0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1]
pubkeycol698 = [1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1]
pubkeycol699 = [2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0]
pubkeycol700 = [1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1]
pubkeycol701 = [1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2]
pubkeycol702 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2]
pubkeycol703 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2]
pubkeycol704 = [1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0]
pubkeycol705 = [0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1]
pubkeycol706 = [1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0]
pubkeycol707 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0]
pubkeycol708 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2]
pubkeycol709 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0]
pubkeycol710 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0]
pubkeycol711 = [1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1]
pubkeycol712 = [2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1]
pubkeycol713 = [2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1]
pubkeycol714 = [1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2]
pubkeycol715 = [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0]
pubkeycol716 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0]
pubkeycol717 = [0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1]
pubkeycol718 = [0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2]
pubkeycol719 = [2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1]
pubkeycol720 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1]
pubkeycol721 = [1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0]
pubkeycol722 = [0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2]
pubkeycol723 = [0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1]
pubkeycol724 = [2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2]
pubkeycol725 = [0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1]
pubkeycol726 = [0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0]
pubkeycol727 = [2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2]
pubkeycol728 = [1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2]
pubkeycol729 = [2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1]
pubkeycol730 = [0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2]
pubkeycol731 = [1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2]
pubkeycol732 = [1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1]
pubkeycol733 = [0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0]
pubkeycol734 = [1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1]
pubkeycol735 = [2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1]
pubkeycol736 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2]
pubkeycol737 = [2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1]
pubkeycol738 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2]
pubkeycol739 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2]
pubkeycol740 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1]
pubkeycol741 = [0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1]
pubkeycol742 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0]
pubkeycol743 = [2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1]
pubkeycol744 = [2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2]
pubkeycol745 = [1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2]
pubkeycol746 = [2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2]
pubkeycol747 = [0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0]
pubkeycol748 = [1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2]
pubkeycol749 = [1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1]
pubkeycol750 = [0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1]
pubkeycol751 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2]
pubkeycol752 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1]
pubkeycol753 = [2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2]
pubkeycol754 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1]
pubkeycol755 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1]
pubkeycol756 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2]
pubkeycol757 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2]
pubkeycol758 = [2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0]
pubkeycol759 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0]
pubkeycol760 = [0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1]
pubkeycol761 = [0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2]
pubkeycol762 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0]
pubkeycol763 = [1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2]
pubkeycol764 = [2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0]
pubkeycol765 = [1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0]
pubkeycol766 = [0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0]
pubkeycol767 = [2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0]
pubkeycol768 = [0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2]
pubkeycol769 = [2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2]
pubkeycol770 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0]
pubkeycol771 = [0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1]
pubkeycol772 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0]
pubkeycol773 = [2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2]
pubkeycol774 = [2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2]
pubkeycol775 = [1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0]
pubkeycol776 = [0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1]
pubkeycol777 = [0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0]
pubkeycol778 = [0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0]
pubkeycol779 = [2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2]
pubkeycol780 = [1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0]
pubkeycol781 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0]
pubkeycol782 = [2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1]
pubkeycol783 = [1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1]
pubkeycol784 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0]
pubkeycol785 = [0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1]
pubkeycol786 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1]
pubkeycol787 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1]
pubkeycol788 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1]
pubkeycol789 = [2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0]
pubkeycol790 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1]
pubkeycol791 = [2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2]
pubkeycol792 = [1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1]
pubkeycol793 = [2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0]
pubkeycol794 = [1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2]
pubkeycol795 = [2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1]
pubkeycol796 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2]
pubkeycol797 = [1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2]
pubkeycol798 = [0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0]
pubkeycol799 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2]
pubkeycol800 = [0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1]
pubkeycol801 = [0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2]
pubkeycol802 = [2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2]
pubkeycol803 = [0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0]
pubkeycol804 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2]
pubkeycol805 = [1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1]
pubkeycol806 = [0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2]
pubkeycol807 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0]
pubkeycol808 = [2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0]
pubkeycol809 = [0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0]
pubkeycol810 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2]
pubkeycol811 = [0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0]
pubkeycol812 = [0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1]
pubkeycol813 = [2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1]
pubkeycol814 = [1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2]
pubkeycol815 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0]
pubkeycol816 = [0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1]
pubkeycol817 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1]
pubkeycol818 = [2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1]
pubkeycol819 = [0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1]
pubkeycol820 = [0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0]
pubkeycol821 = [0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol822 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0]
pubkeycol823 = [1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1]
pubkeycol824 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0]
pubkeycol825 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0]
pubkeycol826 = [2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0]
pubkeycol827 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1]
pubkeycol828 = [0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2]
pubkeycol829 = [2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0]
pubkeycol830 = [2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1]
pubkeycol831 = [1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1]
pubkeycol832 = [0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1]
pubkeycol833 = [1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0]
pubkeycol834 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0]
pubkeycol835 = [2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1]
pubkeycol836 = [0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1]
pubkeycol837 = [2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1]
pubkeycol838 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2]
pubkeycol839 = [2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1]
pubkeycol840 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1]
pubkeycol841 = [2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2]
pubkeycol842 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1]
pubkeycol843 = [0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0]
pubkeycol844 = [1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2]
pubkeycol845 = [0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1]
pubkeycol846 = [2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2]
pubkeycol847 = [2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0]
pubkeycol848 = [1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1]
pubkeycol849 = [1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1]
pubkeycol850 = [2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1]
pubkeycol851 = [2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1]
pubkeycol852 = [1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0]
pubkeycol853 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2]
pubkeycol854 = [2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0]
pubkeycol855 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1]
pubkeycol856 = [2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2]
pubkeycol857 = [0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2]
pubkeycol858 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0]
pubkeycol859 = [2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0]
pubkeycol860 = [1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2]
pubkeycol861 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0]
pubkeycol862 = [1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2]
pubkeycol863 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1]
pubkeycol864 = [0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0]
pubkeycol865 = [2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0]
pubkeycol866 = [1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1]
pubkeycol867 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1]
pubkeycol868 = [2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2]
pubkeycol869 = [1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0]
pubkeycol870 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1]
pubkeycol871 = [0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2]
pubkeycol872 = [2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0]
pubkeycol873 = [1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1]
pubkeycol874 = [2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2]
pubkeycol875 = [2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2]
pubkeycol876 = [2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2]
pubkeycol877 = [0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1]
pubkeycol878 = [1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1]
pubkeycol879 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2]
pubkeycol880 = [2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0]
pubkeycol881 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1]
pubkeycol882 = [2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1]
pubkeycol883 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1]
pubkeycol884 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2]
pubkeycol885 = [2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1]
pubkeycol886 = [0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1]
pubkeycol887 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1]
pubkeycol888 = [2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0]
pubkeycol889 = [2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0]
pubkeycol890 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1]
pubkeycol891 = [2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0]
pubkeycol892 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1]
pubkeycol893 = [2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2]
pubkeycol894 = [0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0]
pubkeycol895 = [1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0]
pubkeycol896 = [1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2]
pubkeycol897 = [1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0]
pubkeycol898 = [1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0]
pubkeycol899 = [2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2]
pubkeycol900 = [1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2]
pubkeycol901 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0]
pubkeycol902 = [1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0]
pubkeycol903 = [2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0]
pubkeycol904 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0]
pubkeycol905 = [0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2]
pubkeycol906 = [2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1]
pubkeycol907 = [1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0]
pubkeycol908 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0]
pubkeycol909 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0]
pubkeycol910 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2]
pubkeycol911 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2]
pubkeycol912 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0]
pubkeycol913 = [2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1]
pubkeycol914 = [0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2]
pubkeycol915 = [1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0]
pubkeycol916 = [1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0]
pubkeycol917 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2]
pubkeycol918 = [0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1]
pubkeycol919 = [2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0]
pubkeycol920 = [2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2]
pubkeycol921 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2]
pubkeycol922 = [2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1]
pubkeycol923 = [2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2]
pubkeycol924 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0]
pubkeycol925 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2]
pubkeycol926 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1]
pubkeycol927 = [1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1]
pubkeycol928 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2]
pubkeycol929 = [1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1]
pubkeycol930 = [0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0]
pubkeycol931 = [0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2]
pubkeycol932 = [1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2]
pubkeycol933 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2]
pubkeycol934 = [1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0]
pubkeycol935 = [1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2]
pubkeycol936 = [1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2]
pubkeycol937 = [2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2]
pubkeycol938 = [0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2]
pubkeycol939 = [1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0]
pubkeycol940 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1]
pubkeycol941 = [1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1]
pubkeycol942 = [1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2]
pubkeycol943 = [0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0]
pubkeycol944 = [2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0]
pubkeycol945 = [0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2]
pubkeycol946 = [2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0]
pubkeycol947 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0]
pubkeycol948 = [2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2]
pubkeycol949 = [0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2]
pubkeycol950 = [1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2]
pubkeycol951 = [1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0]
pubkeycol952 = [0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0]
pubkeycol953 = [2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0]
pubkeycol954 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0]
pubkeycol955 = [0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2]
pubkeycol956 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1]
pubkeycol957 = [1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol958 = [2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2]
pubkeycol959 = [2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1]
pubkeycol960 = [1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0]
pubkeycol961 = [2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1]
pubkeycol962 = [1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1]
pubkeycol963 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1]
pubkeycol964 = [1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0]
pubkeycol965 = [1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2]
pubkeycol966 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2]
pubkeycol967 = [1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1]
pubkeycol968 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0]
pubkeycol969 = [2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0]
pubkeycol970 = [0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1]
pubkeycol971 = [2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1]
pubkeycol972 = [1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1]
pubkeycol973 = [2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2]
pubkeycol974 = [1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2]
pubkeycol975 = [1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0]
pubkeycol976 = [0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1]
pubkeycol977 = [2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2]
pubkeycol978 = [1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2]
pubkeycol979 = [0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2]
pubkeycol980 = [0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1]
pubkeycol981 = [1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2]
pubkeycol982 = [2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2]
pubkeycol983 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0]
pubkeycol984 = [0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0]
pubkeycol985 = [0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2]
pubkeycol986 = [1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2]
pubkeycol987 = [2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1]
pubkeycol988 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1]
pubkeycol989 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0]
pubkeycol990 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1]
pubkeycol991 = [0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0]
pubkeycol992 = [2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0]
pubkeycol993 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1]
pubkeycol994 = [2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0]
pubkeycol995 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2]
pubkeycol996 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2]
pubkeycol997 = [1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2]
pubkeycol998 = [0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1]
pubkeycol999 = [2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1]
pubkeycol1000 = [2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1]
pubkeycol1001 = [1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1]
pubkeycol1002 = [0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2]
pubkeycol1003 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1]
pubkeycol1004 = [0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1]
pubkeycol1005 = [2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2]
pubkeycol1006 = [1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2]
pubkeycol1007 = [1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2]
pubkeycol1008 = [2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1]
pubkeycol1009 = [1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0]
pubkeycol1010 = [2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2]
pubkeycol1011 = [0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0]
pubkeycol1012 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2]
pubkeycol1013 = [2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2]
pubkeycol1014 = [2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0]
pubkeycol1015 = [1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1016 = [2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2]
pubkeycol1017 = [1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2]
pubkeycol1018 = [0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1]
pubkeycol1019 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2]
pubkeycol1020 = [0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2]
pubkeycol1021 = [2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1]
pubkeycol1022 = [0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1]
pubkeycol1023 = [1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0]
pubkeycol1024 = [2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0]
pubkeycol1025 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2]
pubkeycol1026 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2]
pubkeycol1027 = [2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1]
pubkeycol1028 = [2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0]
pubkeycol1029 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0]
pubkeycol1030 = [0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0]
pubkeycol1031 = [1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0]
pubkeycol1032 = [2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0]
pubkeycol1033 = [1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1]
pubkeycol1034 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2]
pubkeycol1035 = [1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2]
pubkeycol1036 = [1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0]
pubkeycol1037 = [0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1]
pubkeycol1038 = [1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1]
pubkeycol1039 = [0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2]
pubkeycol1040 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1]
pubkeycol1041 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1]
pubkeycol1042 = [1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0]
pubkeycol1043 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0]
pubkeycol1044 = [0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2]
pubkeycol1045 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2]
pubkeycol1046 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2]
pubkeycol1047 = [2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0]
pubkeycol1048 = [2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0]
pubkeycol1049 = [1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2]
pubkeycol1050 = [1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1]
pubkeycol1051 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2]
pubkeycol1052 = [2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0]
pubkeycol1053 = [1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0]
pubkeycol1054 = [0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1]
pubkeycol1055 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2]
pubkeycol1056 = [0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2]
pubkeycol1057 = [0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2]
pubkeycol1058 = [2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2]
pubkeycol1059 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0]
pubkeycol1060 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2]
pubkeycol1061 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0]
pubkeycol1062 = [1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2]
pubkeycol1063 = [2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2]
pubkeycol1064 = [2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0]
pubkeycol1065 = [2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1]
pubkeycol1066 = [1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2]
pubkeycol1067 = [0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2]
pubkeycol1068 = [0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1]
pubkeycol1069 = [0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2]
pubkeycol1070 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2]
pubkeycol1071 = [1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2]
pubkeycol1072 = [2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2]
pubkeycol1073 = [2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0]
pubkeycol1074 = [0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0]
pubkeycol1075 = [1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1]
pubkeycol1076 = [2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1]
pubkeycol1077 = [1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2]
pubkeycol1078 = [0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0]
pubkeycol1079 = [2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0]
pubkeycol1080 = [1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0]
pubkeycol1081 = [1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1]
pubkeycol1082 = [2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2]
pubkeycol1083 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2]
pubkeycol1084 = [1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2]
pubkeycol1085 = [2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1]
pubkeycol1086 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0]
pubkeycol1087 = [0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0]
pubkeycol1088 = [2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0]
pubkeycol1089 = [0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1]
pubkeycol1090 = [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1]
pubkeycol1091 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2]
pubkeycol1092 = [2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1]
pubkeycol1093 = [1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0]
pubkeycol1094 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0]
pubkeycol1095 = [2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1]
pubkeycol1096 = [1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0]
pubkeycol1097 = [1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1]
pubkeycol1098 = [0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0]
pubkeycol1099 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1]
pubkeycol1100 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2]
pubkeycol1101 = [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2]
pubkeycol1102 = [1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1]
pubkeycol1103 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2]
pubkeycol1104 = [1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2]
pubkeycol1105 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0]
pubkeycol1106 = [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2]
pubkeycol1107 = [2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1]
pubkeycol1108 = [0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1]
pubkeycol1109 = [1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2]
pubkeycol1110 = [0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1]
pubkeycol1111 = [2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0]
pubkeycol1112 = [0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2]
pubkeycol1113 = [1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2]
pubkeycol1114 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0]
pubkeycol1115 = [1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2]
pubkeycol1116 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0]
pubkeycol1117 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2]
pubkeycol1118 = [2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2]
pubkeycol1119 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2]
pubkeycol1120 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1]
pubkeycol1121 = [2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2]
pubkeycol1122 = [1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1123 = [2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0]
pubkeycol1124 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1]
pubkeycol1125 = [1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0]
pubkeycol1126 = [2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0]
pubkeycol1127 = [0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0]
pubkeycol1128 = [1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0]
pubkeycol1129 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1]
pubkeycol1130 = [2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1]
pubkeycol1131 = [0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1]
pubkeycol1132 = [2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2]
pubkeycol1133 = [1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2]
pubkeycol1134 = [2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2]
pubkeycol1135 = [1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1]
pubkeycol1136 = [1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0]
pubkeycol1137 = [1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1]
pubkeycol1138 = [1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2]
pubkeycol1139 = [0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1]
pubkeycol1140 = [0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0]
pubkeycol1141 = [1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1]
pubkeycol1142 = [1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1]
pubkeycol1143 = [0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0]
pubkeycol1144 = [1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1]
pubkeycol1145 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1]
pubkeycol1146 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2]
pubkeycol1147 = [0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1]
pubkeycol1148 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2]
pubkeycol1149 = [2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1150 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2]
pubkeycol1151 = [1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0]
pubkeycol1152 = [1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2]
pubkeycol1153 = [2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2]
pubkeycol1154 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2]
pubkeycol1155 = [0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0]
pubkeycol1156 = [2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1]
pubkeycol1157 = [1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0]
pubkeycol1158 = [0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0]
pubkeycol1159 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2]
pubkeycol1160 = [2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1]
pubkeycol1161 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0]
pubkeycol1162 = [2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1]
pubkeycol1163 = [0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1]
pubkeycol1164 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1]
pubkeycol1165 = [1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1]
pubkeycol1166 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1]
pubkeycol1167 = [0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1]
pubkeycol1168 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1]
pubkeycol1169 = [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0]
pubkeycol1170 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1]
pubkeycol1171 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1]
pubkeycol1172 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1]
pubkeycol1173 = [1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2]
pubkeycol1174 = [0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0]
pubkeycol1175 = [0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2]
pubkeycol1176 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0]
pubkeycol1177 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2]
pubkeycol1178 = [1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0]
pubkeycol1179 = [1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0]
pubkeycol1180 = [2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1]
pubkeycol1181 = [2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1]
pubkeycol1182 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0]
pubkeycol1183 = [0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2]
pubkeycol1184 = [1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0]
pubkeycol1185 = [1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1]
pubkeycol1186 = [2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1]
pubkeycol1187 = [0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2]
pubkeycol1188 = [1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0]
pubkeycol1189 = [2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1]
pubkeycol1190 = [1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1]
pubkeycol1191 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1]
pubkeycol1192 = [2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1]
pubkeycol1193 = [0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0]
pubkeycol1194 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1]
pubkeycol1195 = [1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0]
pubkeycol1196 = [1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0]
pubkeycol1197 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0]
pubkeycol1198 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0]
pubkeycol1199 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1]
pubkeycol1200 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2]
pubkeycol1201 = [1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1]
pubkeycol1202 = [2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2]
pubkeycol1203 = [0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1]
pubkeycol1204 = [0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0]
pubkeycol1205 = [2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2]
pubkeycol1206 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1]
pubkeycol1207 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2]
pubkeycol1208 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0]
pubkeycol1209 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2]
pubkeycol1210 = [1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1]
pubkeycol1211 = [2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1]
pubkeycol1212 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1]
pubkeycol1213 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0]
pubkeycol1214 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0]
pubkeycol1215 = [0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1]
pubkeycol1216 = [0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0]
pubkeycol1217 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1]
pubkeycol1218 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2]
pubkeycol1219 = [0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1]
pubkeycol1220 = [1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0]
pubkeycol1221 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1]
pubkeycol1222 = [1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1]
pubkeycol1223 = [1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0]
pubkeycol1224 = [1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2]
pubkeycol1225 = [0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1]
pubkeycol1226 = [0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2]
pubkeycol1227 = [1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0]
pubkeycol1228 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1]
pubkeycol1229 = [1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1]
pubkeycol1230 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0]
pubkeycol1231 = [0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2]
pubkeycol1232 = [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0]
pubkeycol1233 = [0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2]
pubkeycol1234 = [2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1]
pubkeycol1235 = [2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1]
pubkeycol1236 = [1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1]
pubkeycol1237 = [2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2]
pubkeycol1238 = [2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1]
pubkeycol1239 = [0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1]
pubkeycol1240 = [1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1]
pubkeycol1241 = [1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2]
pubkeycol1242 = [0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1]
pubkeycol1243 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1]
pubkeycol1244 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2]
pubkeycol1245 = [0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2]
pubkeycol1246 = [0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1]
pubkeycol1247 = [2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1]
pubkeycol1248 = [2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1]
pubkeycol1249 = [1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2]
pubkeycol1250 = [1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0]
pubkeycol1251 = [1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1]
pubkeycol1252 = [2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2]
pubkeycol1253 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1]
pubkeycol1254 = [2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2]
pubkeycol1255 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0]
pubkeycol1256 = [0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0]
pubkeycol1257 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0]
pubkeycol1258 = [1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0]
pubkeycol1259 = [2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0]
pubkeycol1260 = [1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0]
pubkeycol1261 = [1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1]
pubkeycol1262 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2]
pubkeycol1263 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1]
pubkeycol1264 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1]
pubkeycol1265 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0]
pubkeycol1266 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2]
pubkeycol1267 = [1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0]
pubkeycol1268 = [2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2]
pubkeycol1269 = [0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1]
pubkeycol1270 = [2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2]
pubkeycol1271 = [2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2]
pubkeycol1272 = [2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0]
pubkeycol1273 = [2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0]
pubkeycol1274 = [1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1]
pubkeycol1275 = [0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2]
pubkeycol1276 = [1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0]
pubkeycol1277 = [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1]
pubkeycol1278 = [0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1]
pubkeycol1279 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1]
pubkeycol1280 = [1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0]
pubkeycol1281 = [1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0]
pubkeycol1282 = [2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2]
pubkeycol1283 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2]
pubkeycol1284 = [2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2]
pubkeycol1285 = [0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2]
pubkeycol1286 = [1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0]
pubkeycol1287 = [0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1]
pubkeycol1288 = [2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1]
pubkeycol1289 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0]
pubkeycol1290 = [1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1]
pubkeycol1291 = [1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1]
pubkeycol1292 = [1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1]
pubkeycol1293 = [2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2]
pubkeycol1294 = [2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2]
pubkeycol1295 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2]
pubkeycol1296 = [0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2]
pubkeycol1297 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1]
pubkeycol1298 = [0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2]
pubkeycol1299 = [1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0]
pubkeycol1300 = [2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2]
pubkeycol1301 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2]
pubkeycol1302 = [2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0]
pubkeycol1303 = [1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0]
pubkeycol1304 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1]
pubkeycol1305 = [0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1]
pubkeycol1306 = [0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0]
pubkeycol1307 = [2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1]
pubkeycol1308 = [2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0]
pubkeycol1309 = [2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1]
pubkeycol1310 = [0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1]
pubkeycol1311 = [1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2]
pubkeycol1312 = [1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0]
pubkeycol1313 = [0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0]
pubkeycol1314 = [2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0]
pubkeycol1315 = [0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0]
pubkeycol1316 = [2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1]
pubkeycol1317 = [1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2]
pubkeycol1318 = [2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2]
pubkeycol1319 = [2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0]
pubkeycol1320 = [1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1]
pubkeycol1321 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0]
pubkeycol1322 = [0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2]
pubkeycol1323 = [1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1]
pubkeycol1324 = [2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2]
pubkeycol1325 = [2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2]
pubkeycol1326 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2]
pubkeycol1327 = [1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1]
pubkeycol1328 = [1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1]
pubkeycol1329 = [0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2]
pubkeycol1330 = [0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0]
pubkeycol1331 = [2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0]
pubkeycol1332 = [1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0]
pubkeycol1333 = [0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2]
pubkeycol1334 = [2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1]
pubkeycol1335 = [1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1]
pubkeycol1336 = [2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2]
pubkeycol1337 = [1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1]
pubkeycol1338 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1]
pubkeycol1339 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1]
pubkeycol1340 = [1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1]
pubkeycol1341 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1]
pubkeycol1342 = [2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2]
pubkeycol1343 = [0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0]
pubkeycol1344 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0]
pubkeycol1345 = [1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1]
pubkeycol1346 = [1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1]
pubkeycol1347 = [2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1]
pubkeycol1348 = [2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1]
pubkeycol1349 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2]
pubkeycol1350 = [2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2]
pubkeycol1351 = [1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1]
pubkeycol1352 = [0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1]
pubkeycol1353 = [2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2]
pubkeycol1354 = [1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1]
pubkeycol1355 = [2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1]
pubkeycol1356 = [0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2]
pubkeycol1357 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0]
pubkeycol1358 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1]
pubkeycol1359 = [1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0]
pubkeycol1360 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0]
pubkeycol1361 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1]
pubkeycol1362 = [0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0]
pubkeycol1363 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0]
pubkeycol1364 = [1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0]
pubkeycol1365 = [0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1]
pubkeycol1366 = [1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1]
pubkeycol1367 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1]
pubkeycol1368 = [1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0]
pubkeycol1369 = [1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0]
pubkeycol1370 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2]
pubkeycol1371 = [2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1]
pubkeycol1372 = [2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1373 = [2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2]
pubkeycol1374 = [1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0]
pubkeycol1375 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2]
pubkeycol1376 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2]
pubkeycol1377 = [1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2]
pubkeycol1378 = [2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2]
pubkeycol1379 = [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1]
pubkeycol1380 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1]
pubkeycol1381 = [1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0]
pubkeycol1382 = [0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0]
pubkeycol1383 = [0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2]
pubkeycol1384 = [0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0]
pubkeycol1385 = [1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1]
pubkeycol1386 = [1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0]
pubkeycol1387 = [1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0]
pubkeycol1388 = [0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2]
pubkeycol1389 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1]
pubkeycol1390 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0]
pubkeycol1391 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0]
pubkeycol1392 = [0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0]
pubkeycol1393 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2]
pubkeycol1394 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2]
pubkeycol1395 = [2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1]
pubkeycol1396 = [2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1]
pubkeycol1397 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1]
pubkeycol1398 = [1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0]
pubkeycol1399 = [1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0]
pubkeycol1400 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1]
pubkeycol1401 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1]
pubkeycol1402 = [1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0]
pubkeycol1403 = [0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1]
pubkeycol1404 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0]
pubkeycol1405 = [0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1]
pubkeycol1406 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1]
pubkeycol1407 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1]
pubkeycol1408 = [1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2]
pubkeycol1409 = [2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2]
pubkeycol1410 = [1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2]
pubkeycol1411 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0]
pubkeycol1412 = [1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0]
pubkeycol1413 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]
pubkeycol1414 = [1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2]
pubkeycol1415 = [1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2]
pubkeycol1416 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2]
pubkeycol1417 = [1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0]
pubkeycol1418 = [0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0]
pubkeycol1419 = [1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0]
pubkeycol1420 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2]
pubkeycol1421 = [2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1]
pubkeycol1422 = [0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2]
pubkeycol1423 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2]
pubkeycol1424 = [1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0]
pubkeycol1425 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0]
pubkeycol1426 = [0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1]
pubkeycol1427 = [1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1]
pubkeycol1428 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1]
pubkeycol1429 = [1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0]
pubkeycol1430 = [0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2]
pubkeycol1431 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2]
pubkeycol1432 = [1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1]
pubkeycol1433 = [1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2]
pubkeycol1434 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2]
pubkeycol1435 = [0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0]
pubkeycol1436 = [2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2]
pubkeycol1437 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1]
pubkeycol1438 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1439 = [1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2]
pubkeycol1440 = [1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1]
pubkeycol1441 = [2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1]
pubkeycol1442 = [1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1]
pubkeycol1443 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0]