kilobytes = 114.962650791786
q = 5
m = 5
n = 1414
s = 0
t = 20
u = 80
k = 1014
w = 50
ciphertext = [1, 2, 4, 0, 0, 1, 2, 2, 1, 3, 2, 3, 4, 1, 3, 0, 1, 0, 4, 2, 1, 2, 2, 0, 0, 4, 1, 1, 0, 4, 1, 0, 3, 4, 2, 4, 4, 4, 1, 3, 0, 4, 1, 4, 0, 0, 3, 4, 2, 1, 0, 4, 3, 3, 3, 0, 0, 0, 3, 3, 4, 4, 1, 0, 3, 3, 4, 0, 0, 2, 2, 0, 0, 3, 4, 1, 0, 1, 0, 4, 4, 3, 0, 4, 2, 3, 2, 0, 1, 3, 3, 1, 0, 3, 3, 4, 2, 1, 2, 3, 0, 2, 0, 3, 3, 4, 2, 0, 3, 1, 2, 2, 3, 3, 0, 4, 4, 0, 2, 3, 0, 0, 2, 1, 3, 0, 2, 2, 0, 4, 0, 1, 2, 1, 4, 0, 1, 0, 0, 4, 4, 3, 1, 1, 2, 0, 3, 1, 3, 4, 4, 3, 0, 0, 1, 1, 4, 0, 4, 3, 4, 0, 2, 0, 1, 1, 0, 1, 4, 1, 2, 4, 0, 0, 1, 2, 1, 1, 2, 2, 3, 0, 4, 0, 3, 0, 0, 3, 4, 1, 1, 3, 2, 1, 1, 3, 1, 2, 1, 0, 2, 3, 1, 1, 1, 4, 1, 1, 3, 2, 1, 0, 4, 4, 4, 4, 0, 2, 2, 4, 0, 0, 4, 1, 1, 0, 2, 4, 3, 4, 3, 2, 1, 1, 2, 4, 4, 1, 1, 3, 2, 1, 4, 1, 0, 1, 0, 2, 3, 4, 3, 4, 0, 3, 0, 2, 0, 3, 0, 2, 1, 1, 0, 1, 0, 0, 4, 0, 3, 4, 1, 1, 4, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 3, 0, 4, 1, 0, 0, 4, 0, 1, 4, 3, 2, 2, 3, 2, 0, 0, 4, 4, 3, 0, 2, 1, 3, 1, 1, 1, 3, 1, 2, 0, 1, 0, 1, 3, 3, 1, 1, 2, 4, 2, 1, 2, 0, 3, 1, 1, 2, 4, 0, 0, 0, 3, 2, 3, 2, 0, 3, 4, 2, 4, 0, 2, 3, 4, 3, 2, 2, 2, 4, 0, 4, 0, 2, 3, 0, 4, 3, 1, 4, 1, 2, 1, 3, 3, 0, 1, 1, 4, 3, 1, 0, 4, 1, 3, 3, 0, 2, 1, 1, 0, 0, 4, 0, 0, 1, 4, 2, 4, 3, 1, 0, 0, 0, 0, 4]
recovered_plaintext_using_secret_key = True
pubkeycol400 = [4, 4, 1, 4, 4, 1, 0, 3, 2, 3, 3, 2, 1, 1, 1, 1, 2, 0, 4, 0, 3, 4, 0, 1, 2, 1, 2, 0, 0, 2, 3, 4, 0, 4, 1, 0, 4, 4, 1, 4, 0, 0, 1, 1, 3, 3, 1, 1, 4, 1, 2, 2, 0, 3, 0, 3, 1, 2, 0, 2, 1, 4, 3, 1, 2, 1, 1, 3, 4, 0, 3, 2, 4, 0, 0, 2, 0, 1, 4, 1, 0, 2, 0, 4, 3, 2, 2, 4, 3, 1, 0, 3, 4, 0, 2, 0, 2, 2, 4, 0, 0, 0, 0, 1, 4, 2, 2, 0, 3, 3, 4, 0, 2, 0, 2, 0, 3, 3, 4, 2, 3, 2, 3, 1, 0, 0, 1, 3, 0, 3, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 3, 3, 3, 3, 2, 2, 4, 2, 3, 1, 3, 0, 4, 0, 3, 1, 2, 4, 1, 1, 1, 3, 0, 1, 0, 0, 4, 4, 1, 0, 3, 1, 2, 2, 0, 2, 4, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 4, 2, 3, 2, 2, 1, 2, 0, 2, 2, 1, 3, 0, 4, 4, 0, 2, 4, 1, 3, 3, 0, 0, 0, 2, 1, 1, 0, 3, 3, 0, 3, 0, 0, 4, 3, 1, 0, 1, 2, 0, 1, 4, 1, 1, 4, 2, 0, 4, 2, 2, 2, 2, 4, 2, 3, 1, 1, 0, 0, 3, 4, 1, 4, 0, 1, 3, 0, 1, 4, 2, 2, 2, 4, 0, 0, 4, 2, 4, 1, 4, 0, 0, 1, 0, 4, 3, 0, 4, 0, 0, 3, 2, 4, 1, 3, 0, 1, 4, 4, 1, 4, 2, 3, 0, 1, 3, 3, 0, 2, 1, 4, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 3, 0, 2, 1, 1, 1, 2, 2, 3, 4, 3, 0, 4, 1, 3, 0, 4, 3, 4, 2, 4, 4, 0, 3, 4, 0, 2, 4, 0, 1, 3, 2, 2, 4, 3, 0, 4, 1, 4, 3, 3, 0, 4, 2, 4, 0, 4, 0, 1, 2, 0, 2, 4, 4, 0, 3, 2, 4, 0, 4, 1, 3, 0, 0, 1, 0, 4, 3, 3, 0, 4, 2, 0, 3, 3, 3, 4, 4, 4, 0, 4, 3, 0, 3, 3, 2, 1, 1, 2]
pubkeycol401 = [0, 4, 3, 4, 3, 4, 3, 4, 0, 2, 0, 3, 2, 4, 3, 1, 4, 4, 4, 2, 4, 2, 2, 1, 1, 3, 0, 0, 1, 2, 0, 3, 0, 4, 2, 4, 4, 2, 3, 2, 0, 0, 1, 0, 0, 0, 3, 1, 4, 2, 4, 3, 2, 1, 4, 4, 0, 1, 1, 0, 3, 3, 1, 2, 1, 0, 3, 3, 3, 4, 2, 3, 3, 4, 3, 3, 0, 4, 3, 3, 1, 3, 3, 1, 1, 1, 2, 1, 1, 3, 4, 2, 4, 1, 2, 2, 1, 3, 0, 0, 0, 3, 0, 2, 2, 4, 4, 0, 2, 4, 4, 1, 4, 0, 2, 2, 3, 4, 0, 3, 0, 0, 2, 4, 2, 4, 4, 3, 4, 4, 4, 0, 1, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 1, 0, 4, 2, 2, 4, 0, 0, 0, 0, 3, 4, 2, 1, 4, 2, 2, 0, 1, 1, 1, 4, 1, 0, 4, 0, 4, 4, 0, 1, 2, 1, 1, 1, 0, 4, 0, 1, 0, 2, 2, 0, 1, 4, 1, 0, 4, 4, 1, 3, 0, 4, 3, 4, 4, 1, 4, 3, 3, 4, 0, 1, 2, 2, 0, 0, 2, 1, 3, 2, 1, 4, 1, 4, 2, 2, 0, 1, 4, 3, 0, 0, 3, 1, 0, 4, 2, 1, 3, 0, 4, 1, 2, 0, 3, 3, 3, 0, 0, 4, 2, 0, 2, 0, 2, 1, 2, 2, 3, 4, 0, 1, 2, 2, 0, 3, 1, 1, 2, 0, 3, 4, 1, 3, 4, 4, 1, 0, 1, 1, 2, 3, 2, 1, 1, 2, 1, 3, 2, 0, 0, 4, 2, 4, 3, 0, 4, 0, 1, 0, 1, 2, 2, 4, 3, 1, 1, 0, 3, 2, 1, 0, 0, 1, 1, 1, 3, 2, 0, 4, 1, 2, 2, 2, 4, 1, 0, 2, 3, 0, 0, 3, 0, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 4, 2, 3, 2, 4, 4, 1, 3, 4, 4, 0, 2, 3, 2, 0, 1, 3, 0, 2, 3, 0, 3, 1, 0, 1, 4, 2, 4, 3, 4, 2, 4, 4, 4, 2, 2, 4, 3, 2, 4, 3, 2, 4, 2, 3, 3, 2, 4, 0, 3, 4, 1]
pubkeycol402 = [0, 0, 4, 1, 2, 4, 2, 2, 3, 0, 2, 3, 3, 2, 0, 4, 4, 2, 2, 1, 0, 4, 0, 0, 1, 2, 1, 1, 0, 0, 4, 3, 4, 1, 2, 3, 1, 3, 0, 3, 4, 2, 4, 4, 2, 4, 2, 4, 2, 0, 3, 0, 1, 2, 2, 4, 0, 2, 1, 2, 1, 3, 3, 0, 2, 0, 3, 2, 1, 0, 3, 4, 3, 2, 1, 2, 4, 1, 3, 0, 4, 4, 2, 1, 0, 1, 2, 4, 3, 1, 4, 1, 1, 2, 2, 4, 0, 2, 2, 2, 0, 1, 2, 0, 1, 4, 4, 1, 3, 4, 1, 3, 1, 4, 0, 1, 4, 0, 2, 2, 3, 4, 1, 4, 3, 0, 3, 1, 1, 1, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 3, 1, 3, 1, 3, 3, 3, 2, 1, 1, 0, 2, 2, 4, 4, 4, 1, 4, 3, 0, 0, 4, 1, 1, 1, 1, 0, 1, 4, 2, 1, 0, 1, 4, 3, 1, 3, 3, 2, 4, 0, 4, 3, 0, 1, 0, 2, 1, 4, 2, 2, 3, 0, 3, 4, 4, 4, 2, 1, 3, 3, 2, 4, 2, 2, 3, 1, 3, 1, 0, 3, 1, 2, 1, 4, 2, 0, 3, 2, 3, 2, 0, 4, 0, 2, 0, 3, 2, 0, 2, 3, 2, 4, 1, 1, 4, 0, 4, 2, 4, 0, 1, 0, 4, 3, 4, 4, 1, 0, 2, 1, 3, 3, 2, 2, 1, 4, 0, 2, 2, 2, 4, 2, 3, 0, 4, 1, 2, 3, 1, 4, 0, 0, 0, 2, 3, 3, 1, 1, 0, 0, 3, 4, 4, 0, 0, 1, 2, 1, 2, 2, 3, 4, 3, 1, 4, 1, 3, 3, 1, 2, 2, 0, 1, 1, 1, 1, 2, 4, 3, 3, 4, 2, 4, 2, 3, 3, 0, 1, 4, 2, 4, 4, 1, 3, 0, 4, 3, 1, 4, 2, 1, 3, 3, 2, 1, 2, 0, 4, 3, 4, 1, 2, 1, 0, 0, 1, 1, 1, 4, 4, 3, 3, 3, 4, 3, 0, 4, 3, 2, 1, 1, 2, 2, 2, 3, 2, 0, 2, 2, 1, 2, 2, 1, 3, 3, 1, 3, 2, 1, 4, 2, 3, 4, 3, 3, 3, 3, 2, 4, 1, 3, 4, 2, 3, 1, 1, 4, 4, 1]
pubkeycol403 = [0, 4, 3, 4, 0, 1, 4, 0, 1, 3, 3, 4, 0, 0, 1, 4, 1, 2, 1, 1, 0, 0, 0, 3, 3, 4, 3, 1, 3, 2, 3, 0, 3, 4, 0, 3, 4, 4, 2, 0, 4, 4, 3, 1, 4, 4, 0, 4, 3, 4, 4, 4, 4, 3, 1, 0, 2, 1, 1, 0, 0, 3, 3, 3, 4, 3, 4, 3, 0, 4, 3, 4, 1, 3, 4, 1, 2, 1, 2, 0, 2, 0, 4, 1, 1, 1, 1, 4, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 3, 0, 4, 1, 1, 4, 3, 1, 0, 3, 0, 2, 4, 0, 3, 1, 1, 1, 4, 3, 0, 2, 2, 4, 1, 1, 4, 1, 2, 2, 4, 3, 1, 2, 2, 3, 4, 3, 1, 0, 0, 0, 1, 4, 4, 2, 0, 4, 2, 3, 1, 1, 3, 1, 0, 0, 1, 4, 2, 0, 4, 3, 2, 2, 0, 3, 4, 0, 1, 3, 0, 0, 4, 4, 2, 1, 3, 1, 4, 4, 4, 1, 2, 0, 0, 2, 3, 4, 0, 3, 0, 0, 3, 4, 0, 3, 2, 3, 3, 2, 4, 2, 0, 1, 0, 3, 1, 3, 3, 1, 4, 2, 2, 2, 3, 3, 1, 0, 2, 2, 0, 0, 3, 2, 4, 0, 4, 0, 3, 1, 3, 0, 3, 3, 4, 3, 2, 0, 4, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 0, 3, 1, 0, 3, 3, 3, 3, 1, 1, 0, 3, 1, 0, 2, 3, 0, 4, 3, 3, 2, 0, 1, 4, 1, 4, 4, 4, 0, 4, 2, 3, 3, 0, 4, 2, 0, 3, 1, 1, 3, 4, 1, 4, 0, 2, 0, 2, 3, 1, 0, 3, 1, 2, 1, 3, 2, 4, 3, 0, 3, 2, 0, 1, 2, 0, 1, 4, 3, 3, 4, 4, 0, 4, 2, 2, 2, 4, 2, 4, 3, 1, 3, 4, 4, 0, 1, 0, 0, 0, 2, 3, 2, 4, 4, 4, 3, 1, 1, 4, 4, 4, 2, 1, 1, 2, 4, 4, 3, 2, 3, 4, 4, 2, 2, 0, 2, 2, 1, 2, 4, 1, 1, 0, 0, 3, 0, 0, 1, 4, 3, 2, 3, 1, 4, 1, 1, 2, 4, 2, 2, 4, 4, 0, 0, 2, 0, 0, 2]
pubkeycol404 = [1, 0, 4, 1, 2, 2, 1, 4, 1, 0, 2, 1, 3, 4, 1, 1, 4, 1, 2, 4, 1, 1, 3, 2, 4, 3, 2, 0, 1, 0, 3, 2, 0, 2, 4, 1, 3, 1, 2, 0, 4, 3, 3, 3, 3, 0, 2, 1, 0, 4, 0, 0, 0, 0, 0, 1, 0, 4, 3, 1, 1, 0, 4, 3, 3, 4, 4, 2, 3, 1, 2, 1, 1, 4, 3, 0, 1, 0, 4, 2, 2, 2, 1, 0, 1, 2, 3, 0, 0, 3, 1, 0, 2, 1, 3, 0, 3, 4, 3, 3, 2, 0, 0, 1, 2, 2, 3, 1, 1, 3, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 4, 2, 4, 0, 3, 3, 0, 1, 4, 2, 3, 0, 2, 1, 0, 2, 1, 0, 4, 3, 0, 4, 3, 0, 3, 0, 1, 0, 2, 4, 4, 3, 4, 4, 3, 0, 1, 0, 1, 2, 0, 4, 2, 2, 4, 0, 0, 2, 0, 1, 0, 0, 3, 1, 4, 0, 3, 4, 1, 1, 2, 4, 0, 2, 2, 0, 0, 3, 3, 4, 1, 4, 0, 4, 3, 3, 0, 1, 1, 0, 3, 4, 2, 0, 0, 3, 1, 4, 2, 4, 0, 2, 3, 0, 2, 3, 0, 1, 1, 3, 0, 3, 3, 3, 2, 3, 4, 1, 0, 1, 2, 4, 3, 2, 2, 2, 0, 4, 4, 0, 2, 4, 1, 4, 1, 0, 0, 3, 2, 4, 0, 3, 3, 1, 1, 3, 4, 1, 0, 2, 2, 0, 4, 4, 2, 0, 0, 4, 1, 1, 2, 3, 3, 1, 0, 2, 1, 2, 3, 2, 4, 3, 4, 4, 0, 3, 1, 4, 4, 4, 4, 0, 1, 3, 2, 2, 2, 2, 0, 0, 2, 4, 0, 4, 1, 3, 4, 2, 4, 3, 1, 4, 3, 1, 4, 4, 0, 1, 4, 0, 0, 2, 1, 2, 2, 3, 0, 1, 2, 3, 2, 0, 2, 3, 1, 1, 2, 3, 3, 0, 3, 0, 3, 2, 4, 0, 1, 2, 4, 2, 0, 1, 4, 3, 3, 2, 3, 3, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 3, 3, 0, 4, 0, 2, 3, 0, 0, 4, 0, 2, 1, 1, 4, 2, 1, 1, 3]
pubkeycol405 = [4, 1, 3, 0, 1, 0, 0, 1, 3, 1, 2, 3, 1, 0, 2, 4, 3, 1, 2, 1, 4, 3, 3, 1, 4, 1, 1, 2, 0, 0, 2, 2, 4, 4, 1, 4, 0, 4, 0, 2, 2, 4, 2, 1, 4, 3, 2, 0, 4, 4, 3, 1, 2, 1, 1, 1, 0, 3, 0, 2, 1, 4, 0, 3, 0, 1, 2, 1, 2, 2, 0, 3, 3, 4, 2, 0, 3, 0, 3, 3, 3, 3, 0, 3, 1, 3, 4, 2, 2, 4, 1, 0, 1, 1, 2, 2, 4, 4, 0, 0, 1, 0, 3, 1, 3, 2, 0, 2, 2, 4, 2, 0, 0, 2, 4, 0, 0, 0, 0, 4, 3, 4, 4, 1, 0, 1, 1, 3, 2, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 4, 4, 3, 2, 4, 3, 4, 1, 1, 2, 4, 4, 4, 4, 3, 2, 2, 2, 2, 3, 3, 1, 4, 1, 3, 4, 4, 2, 1, 3, 0, 1, 0, 4, 0, 2, 0, 2, 4, 0, 3, 1, 2, 4, 1, 2, 2, 2, 0, 1, 0, 3, 2, 3, 4, 2, 4, 0, 2, 2, 0, 4, 3, 0, 3, 0, 0, 2, 4, 4, 1, 0, 2, 3, 3, 2, 0, 0, 2, 2, 0, 1, 4, 2, 0, 0, 3, 0, 0, 0, 4, 0, 4, 4, 0, 0, 1, 0, 2, 0, 1, 4, 2, 2, 2, 0, 4, 0, 0, 1, 4, 3, 2, 1, 2, 2, 4, 3, 1, 1, 2, 0, 2, 3, 3, 4, 1, 2, 1, 0, 4, 1, 2, 2, 4, 3, 0, 1, 2, 2, 0, 2, 2, 3, 1, 3, 3, 1, 2, 4, 3, 3, 0, 1, 0, 2, 4, 4, 0, 3, 2, 3, 2, 4, 3, 0, 0, 1, 0, 3, 0, 3, 1, 4, 3, 3, 0, 0, 3, 1, 3, 2, 0, 4, 3, 2, 4, 1, 2, 2, 2, 1, 0, 0, 1, 0, 3, 3, 2, 3, 3, 0, 1, 3, 4, 1, 1, 2, 3, 0, 1, 3, 4, 2, 1, 1, 3, 4, 3, 1, 0, 2, 4, 1, 0, 3, 3, 1, 0, 4, 3, 4, 4, 0, 3, 3, 0, 1, 1, 3, 3, 0, 2, 2, 1, 3, 1, 0, 1, 4, 4, 3, 2, 0, 3, 4, 2, 0, 2]
pubkeycol406 = [4, 0, 0, 4, 0, 4, 3, 3, 2, 1, 3, 2, 4, 2, 0, 1, 4, 0, 4, 0, 2, 4, 4, 3, 2, 2, 1, 1, 0, 4, 2, 3, 2, 2, 4, 1, 4, 0, 3, 2, 3, 4, 4, 2, 1, 3, 0, 2, 4, 2, 0, 4, 0, 1, 3, 1, 3, 1, 0, 2, 0, 2, 0, 2, 4, 0, 0, 4, 3, 3, 0, 0, 2, 2, 0, 4, 2, 2, 2, 3, 4, 2, 1, 3, 0, 3, 2, 4, 2, 1, 0, 3, 3, 2, 1, 2, 2, 1, 3, 3, 1, 1, 2, 1, 3, 3, 2, 0, 3, 0, 1, 3, 1, 0, 3, 0, 4, 0, 2, 0, 2, 2, 0, 0, 0, 1, 4, 0, 4, 0, 3, 1, 1, 2, 1, 0, 1, 0, 2, 4, 2, 2, 2, 3, 1, 3, 0, 2, 3, 0, 2, 2, 4, 4, 4, 0, 2, 0, 2, 3, 4, 1, 4, 4, 3, 0, 1, 4, 0, 0, 2, 3, 3, 1, 2, 1, 2, 4, 1, 1, 0, 1, 3, 4, 3, 2, 0, 4, 2, 0, 0, 0, 3, 3, 4, 2, 1, 3, 2, 1, 4, 1, 2, 2, 1, 3, 2, 4, 3, 3, 0, 1, 2, 3, 4, 3, 0, 1, 2, 4, 3, 1, 0, 3, 1, 1, 3, 1, 1, 0, 3, 1, 2, 0, 3, 0, 2, 0, 2, 4, 1, 1, 3, 3, 2, 2, 2, 2, 4, 2, 2, 0, 0, 2, 0, 2, 0, 4, 4, 3, 3, 0, 4, 1, 2, 2, 1, 2, 1, 4, 3, 3, 1, 4, 3, 2, 3, 2, 4, 3, 1, 4, 1, 1, 0, 3, 4, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 4, 2, 2, 1, 3, 0, 3, 4, 1, 2, 2, 1, 0, 4, 2, 2, 3, 4, 2, 4, 1, 4, 1, 1, 4, 1, 0, 0, 3, 3, 3, 1, 2, 1, 4, 3, 1, 4, 1, 1, 2, 2, 0, 0, 2, 0, 4, 0, 4, 1, 3, 4, 2, 4, 0, 3, 3, 0, 4, 4, 2, 4, 2, 1, 1, 2, 4, 0, 2, 2, 3, 0, 2, 1, 4, 1, 4, 2, 2, 1, 2, 0, 1, 3, 2, 3, 3, 3, 3, 3, 1, 4, 4, 3, 4, 2, 4, 2, 3, 3, 4, 4, 1]
pubkeycol407 = [0, 4, 4, 3, 4, 2, 1, 4, 4, 3, 4, 2, 0, 0, 0, 1, 4, 3, 1, 0, 4, 4, 4, 3, 3, 4, 4, 0, 3, 2, 1, 3, 3, 1, 1, 0, 0, 0, 2, 2, 2, 3, 2, 0, 4, 3, 1, 0, 3, 3, 3, 2, 3, 1, 1, 3, 0, 4, 3, 4, 0, 0, 4, 0, 0, 0, 3, 0, 1, 0, 4, 2, 2, 3, 3, 3, 1, 4, 2, 0, 2, 4, 0, 1, 0, 2, 2, 4, 2, 4, 2, 0, 0, 4, 2, 2, 0, 1, 2, 2, 0, 2, 4, 4, 1, 0, 0, 4, 0, 4, 0, 4, 1, 3, 1, 1, 2, 1, 0, 3, 0, 2, 1, 3, 0, 4, 1, 4, 3, 3, 3, 2, 2, 2, 1, 1, 2, 4, 3, 1, 4, 2, 3, 3, 0, 4, 2, 2, 3, 4, 1, 1, 3, 3, 2, 3, 1, 2, 1, 2, 1, 0, 1, 2, 4, 3, 4, 4, 3, 4, 4, 0, 0, 2, 2, 2, 2, 3, 2, 1, 4, 3, 3, 2, 0, 4, 4, 4, 3, 4, 1, 0, 4, 1, 3, 2, 1, 2, 1, 4, 3, 4, 1, 2, 4, 3, 1, 1, 1, 2, 2, 3, 1, 1, 1, 4, 4, 2, 1, 1, 3, 2, 3, 2, 1, 1, 3, 0, 1, 3, 1, 0, 2, 0, 3, 3, 2, 1, 2, 3, 2, 3, 0, 0, 0, 1, 2, 4, 2, 2, 2, 4, 4, 1, 0, 0, 3, 2, 1, 0, 4, 1, 3, 0, 2, 4, 4, 4, 2, 1, 4, 1, 4, 0, 3, 0, 1, 3, 2, 0, 0, 0, 4, 3, 1, 3, 4, 1, 3, 3, 0, 4, 4, 2, 4, 2, 4, 2, 0, 3, 1, 4, 2, 0, 1, 3, 3, 2, 3, 1, 0, 2, 4, 2, 4, 2, 2, 4, 2, 1, 0, 3, 4, 3, 2, 4, 3, 4, 0, 0, 1, 4, 4, 0, 3, 1, 3, 3, 0, 1, 3, 0, 3, 3, 1, 3, 2, 3, 4, 3, 2, 1, 0, 1, 0, 0, 2, 4, 3, 3, 3, 2, 4, 4, 4, 2, 2, 3, 0, 1, 2, 0, 4, 3, 1, 4, 1, 1, 3, 3, 3, 1, 3, 1, 1, 4, 0, 2, 1, 0, 0, 3, 4, 4, 1, 1, 1, 4, 4, 0]
pubkeycol408 = [0, 3, 0, 3, 4, 4, 3, 0, 3, 4, 1, 4, 2, 0, 0, 2, 2, 2, 4, 4, 1, 3, 1, 1, 3, 2, 1, 2, 2, 3, 0, 0, 1, 2, 1, 0, 1, 3, 4, 0, 2, 0, 0, 2, 1, 0, 1, 2, 3, 1, 1, 0, 2, 0, 2, 0, 3, 1, 0, 4, 3, 4, 3, 2, 2, 4, 1, 0, 2, 2, 4, 0, 3, 2, 1, 1, 1, 1, 3, 4, 0, 1, 3, 0, 2, 1, 0, 2, 2, 3, 3, 4, 1, 3, 3, 2, 0, 0, 2, 3, 0, 1, 1, 0, 2, 0, 2, 3, 4, 2, 4, 0, 1, 4, 2, 0, 1, 2, 3, 1, 3, 4, 3, 3, 0, 0, 0, 0, 1, 4, 2, 4, 0, 3, 3, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 4, 3, 3, 0, 0, 1, 1, 2, 4, 0, 2, 4, 2, 0, 0, 1, 2, 0, 1, 4, 0, 4, 0, 1, 1, 2, 0, 2, 3, 2, 3, 4, 3, 0, 3, 4, 0, 1, 1, 2, 1, 3, 1, 1, 3, 3, 2, 3, 4, 2, 3, 2, 2, 1, 2, 3, 0, 1, 4, 0, 1, 2, 0, 4, 0, 2, 4, 4, 3, 2, 2, 4, 4, 1, 4, 0, 3, 0, 0, 4, 1, 4, 3, 0, 3, 1, 2, 4, 1, 4, 4, 2, 4, 2, 4, 2, 2, 3, 4, 2, 0, 3, 0, 4, 0, 0, 2, 0, 4, 4, 1, 1, 4, 2, 3, 1, 1, 3, 0, 4, 4, 3, 2, 3, 3, 3, 0, 3, 0, 3, 4, 0, 4, 2, 3, 0, 2, 4, 3, 3, 1, 2, 2, 2, 2, 2, 0, 4, 4, 1, 0, 2, 4, 1, 3, 1, 0, 0, 4, 3, 0, 3, 2, 0, 3, 4, 3, 2, 4, 3, 1, 0, 3, 1, 0, 1, 1, 2, 0, 2, 2, 4, 4, 2, 4, 1, 1, 4, 4, 3, 3, 2, 3, 3, 1, 2, 2, 0, 1, 4, 3, 1, 3, 1, 4, 0, 3, 4, 4, 1, 0, 2, 4, 3, 4, 1, 0, 2, 3, 3, 3, 4, 3, 3, 2, 3, 1, 0, 4, 0, 2, 4, 3, 2, 2, 2, 0, 0, 2, 4, 1, 2, 1, 4, 0, 4, 1, 4, 0, 0, 3, 1]
pubkeycol409 = [2, 1, 4, 4, 4, 2, 1, 3, 2, 4, 1, 2, 3, 2, 2, 3, 0, 0, 0, 0, 0, 1, 3, 2, 2, 4, 1, 2, 2, 1, 2, 4, 2, 2, 2, 1, 1, 0, 3, 4, 1, 0, 0, 0, 0, 2, 4, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 4, 4, 3, 1, 2, 3, 2, 1, 2, 0, 0, 3, 0, 4, 0, 0, 2, 2, 3, 1, 4, 4, 4, 0, 0, 4, 2, 4, 1, 4, 1, 3, 0, 1, 3, 2, 2, 3, 2, 0, 0, 3, 1, 2, 3, 2, 0, 3, 4, 1, 3, 3, 4, 1, 1, 1, 1, 1, 2, 4, 2, 1, 3, 2, 3, 1, 4, 4, 4, 3, 4, 2, 4, 3, 4, 1, 2, 0, 0, 3, 1, 4, 1, 4, 0, 2, 0, 0, 0, 3, 1, 4, 3, 3, 1, 2, 1, 2, 4, 1, 4, 3, 0, 4, 4, 2, 3, 0, 0, 1, 2, 0, 1, 4, 2, 1, 4, 0, 3, 1, 1, 2, 3, 1, 1, 1, 1, 0, 0, 2, 4, 1, 3, 1, 1, 2, 4, 0, 1, 0, 2, 0, 4, 4, 2, 3, 1, 3, 0, 1, 2, 2, 0, 2, 4, 4, 3, 4, 4, 1, 2, 1, 4, 0, 3, 1, 3, 1, 1, 1, 2, 2, 4, 4, 1, 0, 0, 1, 0, 1, 3, 2, 3, 3, 2, 0, 2, 3, 1, 1, 1, 3, 1, 0, 2, 4, 3, 1, 2, 2, 4, 1, 2, 1, 0, 1, 4, 4, 3, 3, 3, 0, 4, 3, 1, 3, 4, 2, 3, 1, 0, 2, 4, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 4, 3, 2, 4, 4, 3, 1, 1, 2, 3, 4, 1, 0, 2, 1, 0, 0, 4, 1, 4, 0, 1, 2, 1, 4, 0, 3, 1, 1, 2, 3, 2, 3, 3, 3, 4, 1, 1, 4, 4, 1, 4, 2, 1, 4, 0, 3, 3, 2, 0, 4, 1, 0, 3, 2, 4, 2, 0, 3, 3, 1, 1, 1, 4, 1, 2, 1, 4, 3, 4, 4, 3, 4, 4, 3, 2, 3, 0, 4, 4, 0, 2, 0, 0, 1, 1, 3, 2, 1, 1, 1, 4, 4, 2, 0, 0, 4, 2, 1, 2, 1, 1, 0]
pubkeycol410 = [3, 0, 3, 0, 1, 3, 0, 0, 4, 4, 3, 0, 0, 3, 0, 1, 0, 4, 4, 0, 4, 2, 0, 1, 3, 3, 1, 1, 1, 4, 0, 4, 1, 0, 0, 1, 1, 2, 2, 1, 3, 2, 1, 0, 0, 3, 3, 4, 4, 4, 3, 2, 3, 2, 4, 4, 1, 4, 0, 3, 0, 0, 1, 3, 0, 2, 3, 4, 3, 2, 0, 1, 3, 1, 2, 3, 1, 3, 0, 0, 4, 3, 4, 4, 1, 4, 0, 2, 4, 0, 1, 4, 4, 4, 3, 3, 0, 0, 0, 2, 1, 1, 4, 0, 3, 2, 1, 0, 4, 1, 1, 0, 3, 4, 1, 1, 3, 1, 3, 4, 2, 4, 3, 4, 4, 2, 1, 3, 3, 1, 2, 3, 0, 2, 4, 0, 1, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 2, 3, 4, 2, 4, 0, 1, 1, 1, 0, 0, 1, 0, 4, 4, 4, 0, 0, 4, 0, 2, 4, 0, 2, 0, 0, 0, 4, 0, 4, 3, 3, 4, 4, 2, 4, 4, 2, 2, 2, 3, 3, 0, 3, 4, 3, 4, 0, 3, 2, 2, 3, 2, 4, 2, 1, 2, 0, 3, 3, 4, 0, 3, 1, 0, 0, 2, 2, 3, 0, 2, 0, 2, 1, 4, 3, 0, 4, 3, 3, 0, 3, 4, 1, 1, 2, 3, 0, 3, 2, 1, 3, 4, 2, 1, 1, 2, 1, 1, 0, 3, 1, 4, 4, 0, 3, 0, 1, 3, 3, 4, 1, 2, 1, 0, 0, 3, 0, 0, 1, 2, 4, 0, 3, 3, 1, 3, 2, 3, 4, 3, 2, 2, 2, 1, 0, 3, 0, 1, 4, 2, 0, 3, 0, 1, 0, 3, 1, 4, 4, 1, 2, 4, 1, 0, 3, 1, 3, 1, 1, 2, 1, 1, 4, 3, 4, 0, 1, 2, 0, 3, 2, 0, 2, 2, 4, 0, 0, 4, 2, 3, 3, 2, 2, 4, 1, 4, 4, 0, 1, 3, 4, 1, 1, 0, 2, 1, 3, 2, 0, 0, 1, 4, 0, 1, 1, 1, 0, 1, 0, 2, 3, 1, 1, 4, 1, 4, 3, 2, 2, 2, 3, 3, 3, 4, 2, 4, 3, 2, 2, 2, 3, 4, 4, 2, 4, 4, 3, 2, 1, 3, 4, 0, 2, 1, 0, 0, 1, 4, 2, 3, 0, 4]
pubkeycol411 = [2, 1, 2, 2, 2, 3, 1, 2, 4, 2, 2, 4, 1, 0, 3, 2, 3, 3, 0, 0, 4, 1, 4, 0, 1, 1, 4, 2, 0, 2, 1, 3, 3, 1, 3, 1, 2, 0, 1, 3, 2, 3, 1, 1, 2, 0, 0, 0, 4, 0, 0, 4, 0, 1, 3, 4, 1, 1, 0, 3, 3, 2, 4, 0, 4, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 3, 1, 3, 2, 3, 1, 3, 1, 4, 4, 0, 4, 4, 3, 3, 4, 0, 3, 1, 1, 1, 3, 3, 1, 1, 2, 1, 2, 2, 4, 1, 3, 2, 4, 2, 3, 1, 2, 4, 3, 3, 0, 2, 2, 1, 2, 4, 1, 4, 1, 2, 2, 2, 0, 0, 1, 2, 4, 0, 1, 0, 2, 4, 2, 0, 1, 1, 0, 3, 2, 2, 3, 2, 2, 3, 4, 2, 2, 2, 2, 3, 3, 0, 2, 4, 3, 2, 0, 1, 4, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 2, 1, 0, 3, 1, 4, 0, 4, 2, 3, 3, 0, 1, 3, 0, 4, 3, 0, 1, 1, 1, 0, 2, 0, 2, 2, 3, 3, 1, 3, 3, 0, 3, 2, 3, 4, 0, 1, 2, 1, 4, 4, 2, 1, 2, 4, 2, 4, 3, 0, 4, 1, 4, 4, 4, 0, 3, 0, 2, 2, 1, 3, 4, 4, 3, 1, 4, 2, 1, 1, 1, 4, 4, 4, 2, 3, 2, 2, 4, 3, 4, 0, 2, 1, 1, 3, 3, 3, 3, 0, 3, 4, 4, 4, 2, 4, 3, 3, 2, 3, 1, 2, 0, 3, 4, 3, 3, 1, 4, 3, 0, 0, 1, 0, 1, 3, 1, 4, 3, 2, 0, 3, 2, 3, 3, 4, 2, 0, 3, 1, 1, 2, 2, 0, 0, 2, 4, 3, 0, 0, 1, 2, 3, 3, 2, 4, 2, 0, 0, 3, 1, 0, 0, 3, 2, 3, 2, 0, 4, 0, 2, 2, 4, 2, 0, 0, 4, 3, 1, 4, 4, 2, 2, 0, 1, 4, 0, 2, 4, 0, 2, 4, 2, 3, 1, 2, 3, 1, 4, 2, 3, 4, 0, 1, 3, 3, 1, 0, 0, 0, 1, 4, 0, 2, 2, 0, 1, 3, 2, 1, 3, 1, 2, 3, 3, 1, 1, 1, 0, 0, 1, 0]
pubkeycol412 = [2, 0, 0, 1, 1, 4, 2, 0, 0, 2, 3, 2, 4, 3, 3, 3, 4, 3, 0, 2, 2, 1, 3, 2, 4, 1, 2, 0, 4, 3, 0, 3, 2, 2, 4, 0, 0, 4, 2, 2, 0, 3, 0, 1, 2, 0, 2, 3, 1, 4, 2, 1, 3, 3, 2, 0, 3, 1, 0, 1, 1, 0, 4, 4, 1, 1, 1, 1, 2, 0, 4, 2, 3, 0, 2, 3, 1, 0, 0, 1, 4, 0, 1, 4, 1, 1, 1, 3, 0, 2, 0, 2, 3, 3, 0, 3, 1, 2, 1, 4, 3, 4, 0, 0, 4, 2, 2, 1, 1, 1, 3, 1, 3, 4, 2, 4, 0, 3, 0, 4, 2, 2, 1, 4, 4, 4, 4, 1, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 3, 3, 4, 4, 4, 4, 2, 3, 0, 2, 2, 3, 4, 3, 4, 0, 1, 0, 0, 0, 3, 2, 0, 2, 1, 3, 1, 0, 4, 1, 0, 1, 0, 3, 0, 4, 3, 1, 2, 0, 1, 1, 1, 0, 4, 2, 0, 3, 2, 4, 2, 1, 3, 3, 4, 2, 0, 4, 3, 2, 0, 2, 0, 0, 1, 0, 3, 0, 2, 3, 0, 4, 4, 4, 3, 2, 3, 3, 0, 3, 1, 1, 0, 3, 4, 2, 2, 2, 0, 1, 0, 4, 1, 2, 0, 0, 4, 0, 1, 3, 1, 4, 1, 3, 2, 2, 4, 3, 3, 2, 4, 0, 0, 4, 3, 2, 2, 2, 0, 4, 2, 3, 2, 2, 4, 4, 4, 2, 3, 1, 3, 2, 4, 2, 1, 1, 0, 1, 0, 4, 2, 3, 4, 4, 0, 1, 4, 1, 4, 4, 0, 1, 4, 1, 3, 1, 3, 2, 4, 3, 4, 1, 1, 1, 0, 0, 0, 3, 3, 1, 0, 4, 4, 0, 4, 2, 4, 1, 1, 4, 2, 1, 0, 3, 1, 0, 1, 3, 4, 3, 2, 1, 0, 4, 4, 4, 4, 2, 1, 3, 2, 0, 4, 0, 4, 0, 1, 1, 0, 1, 3, 2, 3, 2, 1, 0, 4, 3, 2, 3, 0, 4, 0, 0, 2, 4, 4, 4, 0, 1, 0, 1, 2, 2, 0, 3, 3, 1, 4, 4, 3, 4, 1, 1, 2, 0, 1, 1, 3, 2, 4, 4, 2, 0, 1, 2, 2, 4, 1, 2, 1, 2]
pubkeycol413 = [2, 1, 1, 3, 0, 1, 2, 1, 4, 2, 0, 0, 2, 1, 0, 2, 1, 2, 3, 0, 3, 1, 0, 3, 3, 4, 3, 2, 0, 3, 4, 2, 0, 3, 3, 1, 0, 0, 4, 0, 2, 1, 4, 1, 2, 2, 1, 1, 1, 0, 3, 0, 3, 0, 4, 4, 2, 4, 2, 4, 3, 2, 3, 4, 1, 3, 3, 1, 2, 4, 4, 3, 4, 3, 0, 4, 2, 4, 4, 2, 4, 3, 1, 3, 2, 3, 4, 0, 0, 0, 4, 0, 2, 4, 2, 3, 2, 0, 0, 1, 1, 2, 4, 1, 0, 1, 2, 0, 1, 4, 3, 0, 3, 4, 2, 4, 2, 1, 4, 0, 0, 0, 3, 2, 4, 3, 4, 3, 1, 3, 0, 2, 2, 3, 3, 2, 0, 1, 3, 1, 4, 0, 0, 1, 4, 3, 2, 1, 0, 1, 1, 3, 3, 3, 3, 0, 2, 4, 1, 0, 2, 2, 1, 2, 0, 1, 4, 4, 4, 1, 4, 4, 0, 1, 4, 2, 4, 0, 0, 0, 4, 2, 1, 2, 4, 3, 2, 1, 1, 1, 1, 2, 2, 4, 1, 4, 0, 0, 2, 3, 0, 1, 0, 3, 4, 1, 0, 0, 4, 4, 0, 2, 1, 4, 3, 2, 0, 0, 2, 3, 2, 3, 2, 3, 1, 4, 4, 3, 4, 1, 1, 3, 0, 1, 4, 1, 4, 2, 4, 1, 0, 0, 3, 1, 1, 0, 4, 1, 2, 2, 3, 1, 1, 1, 3, 1, 1, 2, 4, 2, 1, 1, 2, 2, 4, 1, 4, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 4, 3, 4, 4, 4, 0, 3, 0, 2, 3, 3, 0, 1, 2, 0, 0, 1, 3, 4, 2, 3, 4, 0, 3, 0, 2, 0, 3, 1, 3, 3, 1, 3, 3, 2, 2, 4, 2, 0, 3, 1, 0, 3, 2, 3, 1, 0, 4, 2, 3, 2, 0, 3, 1, 1, 2, 3, 4, 1, 0, 2, 3, 3, 4, 0, 2, 0, 1, 1, 2, 0, 1, 0, 4, 3, 0, 2, 1, 0, 0, 3, 4, 2, 1, 3, 2, 4, 3, 2, 4, 4, 4, 0, 2, 0, 2, 3, 2, 2, 1, 0, 4, 4, 0, 0, 0, 0, 1, 0, 2, 4, 0, 4, 0, 2, 3, 1, 4, 2, 0, 3, 3]
pubkeycol414 = [2, 4, 0, 4, 2, 4, 2, 1, 3, 4, 0, 1, 0, 2, 4, 4, 1, 0, 1, 2, 4, 1, 3, 4, 0, 4, 0, 0, 3, 4, 1, 3, 3, 4, 2, 3, 1, 0, 1, 0, 0, 3, 2, 0, 3, 1, 1, 1, 0, 3, 3, 1, 2, 0, 3, 3, 1, 0, 1, 4, 4, 1, 1, 3, 3, 0, 0, 1, 1, 2, 4, 4, 2, 2, 2, 0, 3, 1, 1, 4, 3, 4, 3, 2, 1, 0, 2, 2, 2, 4, 1, 2, 0, 2, 0, 1, 4, 3, 4, 2, 2, 4, 2, 4, 3, 2, 2, 0, 4, 1, 1, 2, 3, 1, 3, 1, 2, 4, 1, 3, 4, 3, 4, 1, 2, 3, 0, 2, 3, 4, 4, 3, 1, 2, 0, 4, 1, 0, 4, 2, 3, 1, 0, 0, 2, 2, 4, 4, 3, 3, 4, 4, 1, 3, 0, 4, 1, 4, 3, 0, 0, 4, 2, 4, 1, 3, 1, 2, 1, 2, 3, 2, 0, 3, 3, 0, 3, 3, 1, 4, 4, 4, 0, 2, 3, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 4, 3, 0, 3, 2, 4, 0, 2, 3, 1, 2, 0, 4, 1, 3, 0, 4, 2, 3, 2, 4, 3, 1, 0, 4, 2, 4, 2, 3, 4, 2, 1, 3, 4, 1, 3, 2, 4, 0, 1, 1, 3, 0, 1, 3, 0, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 4, 0, 2, 4, 3, 0, 2, 3, 1, 4, 0, 2, 0, 3, 4, 3, 3, 1, 0, 4, 3, 2, 4, 1, 0, 4, 2, 4, 4, 1, 2, 0, 2, 3, 2, 0, 0, 2, 2, 3, 4, 2, 4, 0, 4, 2, 3, 3, 2, 3, 0, 0, 3, 4, 0, 0, 1, 0, 0, 3, 2, 2, 2, 3, 3, 4, 3, 1, 3, 1, 4, 2, 2, 0, 1, 2, 2, 4, 4, 4, 0, 3, 1, 3, 1, 1, 2, 4, 2, 1, 0, 2, 0, 4, 2, 3, 3, 0, 1, 0, 0, 1, 4, 4, 1, 2, 3, 2, 4, 3, 1, 1, 2, 0, 4, 2, 2, 2, 0, 3, 0, 2, 0, 4, 1, 1, 0, 3, 4, 0, 4, 2, 3, 2, 0, 1, 0, 4, 3, 4, 1, 0, 2, 4, 0, 4]
pubkeycol415 = [4, 2, 0, 2, 4, 3, 2, 3, 0, 3, 4, 2, 3, 4, 1, 4, 1, 3, 3, 0, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 3, 2, 3, 3, 3, 0, 1, 2, 3, 2, 2, 3, 0, 4, 3, 2, 2, 2, 0, 3, 0, 4, 4, 1, 4, 4, 4, 3, 1, 4, 3, 3, 3, 1, 2, 4, 3, 1, 0, 2, 2, 4, 1, 4, 2, 3, 1, 2, 3, 1, 1, 3, 2, 1, 0, 4, 0, 0, 3, 4, 1, 0, 3, 1, 3, 3, 4, 4, 4, 1, 2, 4, 2, 2, 3, 2, 4, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 4, 2, 3, 4, 2, 1, 0, 2, 3, 0, 0, 2, 0, 3, 4, 3, 1, 4, 0, 2, 2, 4, 3, 0, 0, 4, 0, 3, 4, 1, 4, 2, 4, 1, 0, 4, 3, 4, 1, 2, 0, 4, 0, 2, 1, 2, 1, 4, 1, 2, 0, 0, 3, 0, 3, 3, 4, 2, 2, 3, 4, 0, 1, 3, 1, 0, 2, 0, 4, 3, 3, 1, 1, 1, 3, 1, 0, 0, 2, 0, 0, 0, 3, 2, 3, 1, 2, 0, 1, 4, 0, 2, 2, 1, 3, 0, 4, 2, 3, 0, 3, 0, 1, 1, 0, 3, 1, 0, 0, 2, 1, 3, 1, 4, 1, 0, 2, 3, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 4, 1, 4, 2, 3, 4, 4, 2, 2, 0, 4, 1, 0, 4, 1, 3, 2, 1, 1, 4, 4, 1, 0, 3, 3, 1, 4, 4, 3, 0, 1, 2, 4, 2, 1, 2, 2, 4, 0, 3, 1, 2, 3, 3, 4, 2, 2, 2, 4, 1, 2, 2, 1, 0, 3, 1, 1, 0, 3, 3, 2, 0, 2, 3, 0, 3, 1, 2, 0, 3, 1, 3, 3, 4, 0, 4, 1, 4, 4, 0, 3, 1, 3, 0, 0, 2, 4, 1, 3, 0, 0, 4, 1, 3, 0, 3, 1, 2, 1, 2, 0, 3, 1, 4, 3, 1, 4, 3, 0, 4, 3, 1, 1, 3, 3, 1, 4, 2, 0, 0, 4, 0, 4, 0, 3, 4, 2, 0, 3, 0, 3, 0, 2, 1, 4, 0, 3, 2, 3, 4, 1, 0, 1, 1, 3, 1, 4, 0, 1, 3, 0, 1, 0, 4, 2]
pubkeycol416 = [2, 3, 3, 2, 2, 0, 2, 1, 0, 0, 0, 4, 2, 0, 3, 1, 4, 1, 3, 0, 0, 4, 1, 2, 0, 2, 1, 0, 4, 2, 4, 2, 0, 2, 1, 3, 0, 4, 0, 3, 1, 2, 4, 3, 3, 0, 4, 3, 2, 2, 4, 1, 3, 3, 2, 1, 0, 4, 3, 0, 3, 3, 1, 3, 3, 4, 2, 2, 4, 4, 2, 1, 4, 2, 0, 4, 1, 2, 2, 0, 3, 3, 2, 1, 4, 2, 4, 2, 4, 0, 4, 2, 3, 1, 4, 2, 4, 1, 4, 0, 3, 2, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 4, 1, 0, 0, 2, 1, 2, 0, 0, 3, 2, 0, 4, 4, 3, 4, 4, 1, 4, 3, 4, 3, 4, 3, 1, 1, 1, 2, 2, 4, 1, 0, 3, 2, 3, 2, 2, 2, 1, 1, 1, 1, 4, 3, 3, 0, 0, 0, 4, 2, 3, 2, 1, 1, 4, 0, 3, 4, 1, 1, 4, 1, 0, 1, 3, 1, 0, 3, 1, 1, 0, 3, 4, 0, 1, 1, 1, 2, 1, 1, 4, 3, 3, 3, 1, 2, 1, 1, 2, 2, 4, 2, 4, 2, 0, 2, 3, 1, 4, 1, 2, 1, 2, 1, 2, 0, 3, 3, 4, 2, 2, 0, 4, 2, 0, 4, 4, 1, 1, 4, 0, 2, 3, 2, 0, 0, 2, 0, 2, 3, 2, 3, 2, 0, 3, 2, 1, 0, 3, 2, 0, 1, 0, 3, 2, 3, 2, 0, 3, 3, 2, 4, 3, 0, 2, 1, 3, 4, 4, 1, 0, 0, 2, 1, 3, 0, 1, 1, 0, 4, 3, 2, 0, 2, 0, 3, 2, 2, 4, 0, 3, 4, 1, 3, 0, 1, 4, 1, 2, 1, 1, 4, 0, 4, 3, 3, 1, 1, 1, 0, 2, 4, 0, 2, 3, 2, 4, 2, 4, 3, 2, 0, 1, 3, 0, 1, 4, 2, 1, 0, 3, 1, 0, 2, 1, 1, 3, 4, 4, 2, 1, 4, 2, 0, 1, 0, 2, 1, 0, 0, 2, 4, 2, 2, 3, 3, 2, 2, 1, 1, 4, 4, 4, 4, 0, 0, 2, 3, 4, 1, 0, 4, 3, 4, 1, 2, 0, 2, 2, 4, 0, 2, 4, 1, 3, 2, 2, 0, 4, 3, 0, 1, 0, 3, 3, 1, 4, 4]
pubkeycol417 = [2, 0, 1, 1, 2, 0, 1, 4, 2, 4, 4, 3, 1, 1, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 0, 3, 1, 3, 1, 4, 1, 0, 0, 1, 4, 2, 2, 4, 2, 2, 3, 3, 4, 3, 4, 3, 2, 0, 2, 4, 3, 2, 0, 0, 0, 4, 1, 0, 1, 0, 3, 2, 4, 0, 0, 1, 3, 3, 1, 0, 4, 2, 0, 3, 0, 2, 2, 3, 1, 0, 4, 3, 0, 2, 3, 1, 4, 4, 1, 2, 4, 2, 3, 1, 1, 2, 1, 0, 1, 3, 4, 2, 1, 3, 4, 4, 0, 3, 2, 1, 3, 3, 1, 0, 3, 3, 2, 1, 2, 4, 2, 3, 3, 0, 3, 0, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 2, 3, 2, 2, 4, 2, 4, 2, 2, 0, 3, 3, 3, 3, 4, 4, 1, 3, 2, 2, 1, 1, 0, 2, 2, 4, 2, 1, 4, 0, 2, 3, 0, 1, 2, 2, 3, 2, 2, 1, 3, 3, 0, 0, 1, 0, 3, 4, 4, 1, 1, 3, 2, 2, 0, 3, 4, 4, 0, 1, 3, 4, 4, 3, 3, 4, 2, 1, 3, 4, 3, 0, 1, 3, 2, 0, 4, 1, 4, 1, 3, 0, 4, 4, 0, 1, 2, 0, 0, 1, 2, 2, 2, 4, 4, 1, 3, 2, 4, 3, 1, 2, 4, 4, 2, 0, 4, 0, 4, 4, 1, 2, 3, 1, 4, 1, 1, 2, 1, 4, 2, 1, 4, 0, 1, 0, 1, 4, 0, 1, 2, 3, 0, 3, 1, 2, 3, 1, 3, 0, 3, 4, 3, 3, 0, 4, 4, 2, 1, 1, 4, 3, 0, 1, 0, 1, 3, 3, 1, 4, 1, 1, 0, 1, 2, 2, 0, 1, 4, 3, 4, 2, 4, 2, 2, 2, 1, 1, 3, 3, 4, 3, 0, 1, 3, 3, 0, 2, 2, 2, 0, 3, 2, 4, 4, 3, 2, 0, 1, 3, 2, 4, 4, 0, 0, 2, 4, 1, 1, 4, 1, 0, 1, 3, 4, 1, 0, 3, 3, 3, 1, 0, 4, 4, 4, 4, 2, 3, 0, 3, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 4, 3, 3, 0, 4, 0, 2, 0, 3, 0, 2, 1, 0, 4, 2, 0, 2, 1, 1, 3, 2, 4]
pubkeycol418 = [0, 1, 0, 3, 4, 2, 3, 0, 3, 3, 3, 0, 0, 0, 2, 3, 4, 4, 3, 2, 0, 1, 3, 1, 4, 3, 0, 2, 2, 3, 1, 4, 3, 2, 1, 1, 4, 4, 2, 1, 0, 4, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 4, 1, 0, 1, 4, 2, 3, 3, 2, 0, 1, 0, 4, 4, 4, 4, 1, 0, 0, 2, 0, 0, 1, 4, 3, 1, 4, 4, 3, 4, 2, 0, 0, 1, 4, 0, 3, 1, 1, 2, 1, 2, 0, 2, 0, 1, 4, 0, 2, 0, 0, 2, 2, 4, 1, 3, 0, 0, 2, 2, 4, 0, 0, 4, 3, 4, 1, 4, 1, 1, 4, 4, 3, 4, 2, 1, 3, 3, 3, 3, 0, 2, 4, 4, 1, 4, 0, 4, 1, 3, 2, 0, 1, 1, 0, 1, 2, 0, 3, 2, 1, 2, 4, 1, 3, 1, 2, 1, 3, 1, 4, 0, 4, 0, 0, 4, 3, 0, 0, 2, 3, 3, 0, 3, 0, 3, 3, 4, 1, 2, 4, 0, 3, 4, 2, 2, 0, 1, 1, 3, 0, 2, 3, 4, 2, 4, 3, 0, 1, 0, 4, 4, 3, 4, 3, 1, 0, 2, 0, 0, 3, 3, 0, 4, 4, 3, 0, 3, 0, 0, 3, 0, 2, 3, 4, 0, 1, 3, 0, 2, 3, 3, 1, 0, 4, 4, 0, 1, 1, 0, 4, 3, 4, 4, 4, 3, 2, 3, 3, 2, 2, 4, 2, 4, 3, 4, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 1, 0, 0, 4, 2, 1, 3, 1, 2, 0, 4, 4, 1, 3, 3, 2, 4, 0, 0, 2, 1, 2, 2, 2, 4, 1, 1, 3, 3, 0, 3, 0, 3, 3, 2, 3, 2, 3, 4, 0, 0, 0, 1, 0, 0, 4, 3, 4, 0, 4, 0, 0, 3, 0, 1, 2, 2, 0, 0, 2, 3, 0, 3, 0, 1, 0, 4, 0, 4, 2, 3, 3, 4, 1, 4, 1, 0, 4, 3, 1, 1, 1, 2, 3, 2, 3, 4, 3, 3, 1, 4, 3, 1, 4, 3, 4, 3, 0, 2, 0, 0, 2, 1, 2, 1, 3, 0, 4, 1, 4, 2, 3, 2, 3, 1, 3, 0, 2, 0, 0, 2, 3, 1, 0, 3, 4, 3, 1, 0, 1, 0, 0]
pubkeycol419 = [3, 4, 1, 4, 3, 2, 0, 0, 1, 3, 0, 2, 1, 0, 2, 3, 2, 2, 3, 2, 1, 1, 4, 2, 2, 0, 4, 2, 2, 4, 4, 3, 2, 0, 4, 3, 0, 1, 4, 1, 2, 0, 4, 2, 0, 2, 2, 4, 4, 2, 3, 4, 2, 3, 0, 0, 2, 1, 2, 0, 0, 0, 1, 3, 0, 2, 4, 0, 2, 3, 0, 1, 1, 3, 2, 2, 3, 4, 4, 3, 2, 1, 4, 2, 4, 4, 4, 3, 4, 3, 0, 4, 2, 1, 0, 3, 2, 4, 2, 3, 1, 3, 3, 0, 0, 1, 2, 1, 1, 0, 4, 3, 1, 0, 4, 4, 0, 3, 4, 3, 4, 3, 4, 2, 2, 0, 1, 0, 0, 0, 1, 3, 0, 1, 4, 1, 2, 2, 2, 4, 0, 1, 0, 4, 4, 4, 4, 3, 4, 1, 4, 2, 0, 3, 1, 0, 2, 4, 4, 4, 1, 2, 4, 2, 4, 3, 3, 1, 0, 3, 4, 2, 2, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 2, 4, 0, 4, 4, 3, 2, 0, 2, 4, 3, 2, 0, 1, 3, 4, 0, 0, 3, 3, 4, 0, 4, 0, 1, 2, 1, 3, 1, 2, 1, 0, 3, 3, 3, 2, 2, 2, 0, 4, 2, 3, 2, 1, 2, 3, 3, 1, 0, 3, 3, 1, 4, 2, 4, 4, 3, 2, 4, 3, 0, 3, 3, 2, 1, 3, 0, 0, 4, 1, 1, 4, 0, 3, 2, 3, 2, 2, 0, 1, 2, 1, 2, 4, 4, 4, 3, 0, 1, 3, 4, 1, 2, 3, 2, 2, 2, 4, 3, 1, 2, 3, 2, 1, 4, 4, 2, 1, 3, 2, 0, 4, 3, 3, 2, 2, 1, 4, 4, 0, 3, 3, 0, 0, 3, 1, 3, 4, 3, 3, 4, 4, 1, 1, 4, 4, 2, 1, 0, 3, 3, 2, 0, 1, 4, 4, 3, 3, 2, 2, 0, 0, 3, 1, 3, 0, 3, 1, 2, 0, 2, 4, 3, 4, 2, 4, 4, 3, 3, 3, 1, 4, 0, 0, 2, 1, 0, 3, 2, 3, 4, 1, 3, 1, 4, 4, 1, 2, 2, 1, 0, 4, 0, 4, 2, 4, 3, 0, 0, 2, 0, 1, 0, 1, 4, 3, 0, 2, 1, 1, 4, 0, 3, 0, 2, 0]
pubkeycol420 = [1, 3, 0, 4, 0, 4, 4, 4, 4, 0, 3, 4, 3, 0, 3, 1, 2, 1, 0, 0, 3, 1, 2, 1, 0, 4, 2, 0, 4, 3, 4, 3, 4, 4, 2, 2, 0, 1, 3, 4, 4, 0, 0, 3, 2, 4, 3, 2, 3, 1, 0, 2, 2, 3, 3, 2, 3, 3, 2, 3, 4, 2, 0, 1, 3, 1, 0, 4, 0, 4, 1, 2, 0, 1, 1, 4, 1, 4, 3, 1, 2, 0, 2, 0, 3, 1, 4, 1, 3, 4, 4, 0, 0, 4, 4, 4, 3, 1, 0, 2, 4, 3, 4, 2, 3, 4, 1, 4, 1, 0, 3, 3, 4, 0, 2, 0, 1, 0, 1, 2, 4, 2, 1, 4, 2, 2, 1, 1, 4, 4, 3, 2, 2, 3, 0, 4, 2, 4, 0, 1, 1, 0, 3, 4, 0, 4, 2, 3, 0, 3, 1, 1, 2, 2, 4, 3, 2, 4, 0, 1, 1, 1, 1, 4, 3, 3, 0, 2, 1, 2, 0, 3, 1, 4, 2, 0, 0, 1, 0, 3, 4, 2, 3, 0, 3, 4, 2, 4, 1, 2, 2, 4, 4, 4, 4, 0, 1, 3, 2, 1, 3, 2, 4, 4, 3, 2, 0, 0, 0, 0, 4, 4, 2, 4, 3, 4, 0, 4, 3, 2, 3, 2, 0, 4, 4, 0, 3, 1, 3, 2, 3, 0, 2, 2, 4, 3, 1, 4, 2, 0, 2, 2, 2, 0, 2, 0, 3, 0, 4, 0, 0, 3, 4, 4, 0, 4, 0, 0, 3, 0, 0, 2, 3, 1, 1, 2, 0, 2, 4, 0, 4, 0, 0, 4, 0, 4, 0, 2, 2, 4, 1, 0, 2, 4, 0, 1, 3, 3, 4, 3, 3, 2, 2, 4, 3, 0, 1, 3, 4, 4, 1, 0, 1, 3, 2, 1, 2, 3, 4, 1, 2, 4, 1, 1, 0, 2, 3, 1, 2, 2, 4, 1, 3, 0, 2, 2, 0, 3, 1, 0, 4, 0, 2, 0, 0, 3, 0, 2, 3, 1, 2, 1, 2, 4, 2, 3, 4, 0, 3, 3, 0, 4, 4, 0, 2, 1, 3, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 3, 0, 1, 4, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 4, 0, 3, 0, 2, 0, 4, 4, 1, 1, 4, 3, 2, 3, 0, 3, 3, 2, 4]
pubkeycol421 = [1, 3, 3, 4, 1, 2, 1, 4, 3, 0, 3, 0, 3, 3, 3, 0, 3, 4, 2, 2, 1, 0, 4, 2, 1, 0, 0, 0, 0, 1, 0, 2, 4, 2, 1, 1, 0, 0, 4, 2, 1, 1, 0, 0, 2, 3, 0, 2, 3, 3, 0, 1, 3, 2, 2, 0, 4, 3, 0, 0, 2, 1, 1, 1, 4, 2, 0, 3, 4, 0, 3, 1, 1, 3, 1, 2, 2, 3, 3, 2, 2, 1, 0, 0, 4, 4, 2, 3, 2, 0, 1, 1, 2, 2, 1, 0, 3, 2, 0, 1, 3, 4, 3, 3, 3, 0, 3, 0, 4, 4, 1, 4, 3, 0, 2, 1, 4, 1, 4, 4, 0, 2, 0, 1, 0, 4, 2, 2, 0, 1, 2, 1, 2, 3, 1, 1, 0, 0, 1, 4, 4, 3, 4, 3, 3, 3, 2, 2, 3, 2, 3, 4, 2, 3, 1, 4, 3, 3, 4, 2, 2, 4, 0, 1, 1, 1, 4, 4, 3, 0, 2, 2, 4, 3, 3, 0, 4, 3, 4, 3, 3, 0, 4, 1, 1, 0, 4, 1, 2, 0, 1, 0, 0, 4, 0, 1, 3, 3, 0, 2, 3, 2, 2, 0, 4, 2, 2, 1, 3, 1, 0, 1, 4, 4, 2, 1, 1, 0, 1, 1, 4, 2, 4, 2, 2, 1, 2, 4, 3, 2, 0, 4, 1, 3, 4, 2, 4, 2, 4, 3, 3, 3, 1, 3, 3, 1, 3, 2, 4, 3, 0, 3, 0, 2, 3, 3, 2, 3, 0, 2, 4, 4, 1, 2, 4, 0, 0, 1, 0, 1, 2, 4, 1, 2, 1, 0, 4, 2, 2, 2, 0, 1, 4, 4, 1, 3, 4, 2, 0, 2, 4, 3, 0, 3, 2, 3, 1, 2, 2, 1, 3, 2, 2, 0, 3, 3, 0, 3, 0, 1, 3, 0, 4, 1, 3, 3, 1, 1, 2, 3, 3, 4, 4, 1, 0, 0, 4, 4, 2, 1, 2, 1, 3, 1, 2, 0, 1, 0, 2, 2, 4, 2, 1, 3, 4, 4, 0, 0, 3, 3, 0, 3, 0, 2, 1, 4, 1, 3, 4, 1, 1, 0, 3, 2, 0, 1, 4, 1, 2, 1, 2, 4, 3, 0, 3, 2, 0, 4, 2, 3, 4, 0, 0, 4, 2, 1, 3, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0]
pubkeycol422 = [0, 2, 2, 2, 3, 3, 0, 3, 2, 3, 2, 4, 2, 0, 0, 0, 3, 4, 0, 4, 2, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 3, 2, 0, 1, 0, 0, 1, 0, 3, 2, 4, 0, 3, 4, 4, 2, 3, 4, 0, 1, 1, 3, 2, 1, 0, 1, 3, 1, 0, 4, 4, 0, 2, 0, 0, 4, 3, 2, 4, 4, 1, 2, 1, 1, 4, 1, 3, 4, 3, 3, 0, 2, 4, 2, 4, 3, 2, 2, 0, 3, 1, 3, 0, 2, 4, 4, 4, 2, 3, 0, 1, 4, 0, 3, 3, 4, 3, 2, 2, 0, 3, 1, 3, 3, 3, 1, 0, 3, 4, 1, 3, 4, 1, 1, 3, 0, 3, 4, 0, 2, 3, 0, 4, 0, 2, 3, 2, 2, 0, 2, 2, 0, 3, 0, 1, 2, 4, 0, 3, 0, 3, 3, 4, 0, 4, 2, 1, 2, 4, 3, 2, 4, 1, 1, 2, 4, 0, 3, 1, 1, 1, 1, 4, 0, 2, 4, 0, 0, 2, 0, 0, 0, 0, 3, 3, 4, 2, 1, 4, 2, 4, 1, 2, 1, 3, 4, 2, 1, 4, 2, 0, 0, 0, 2, 3, 2, 2, 1, 0, 2, 0, 4, 3, 0, 2, 1, 2, 0, 4, 2, 1, 3, 3, 2, 4, 4, 4, 3, 4, 4, 2, 4, 4, 3, 4, 2, 0, 3, 4, 0, 2, 0, 1, 0, 4, 4, 3, 4, 2, 3, 2, 0, 4, 3, 3, 1, 2, 1, 4, 1, 1, 0, 0, 0, 4, 1, 0, 3, 4, 3, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 3, 4, 1, 0, 3, 0, 2, 1, 2, 3, 2, 1, 2, 4, 0, 3, 3, 3, 4, 4, 0, 0, 1, 4, 1, 4, 4, 1, 2, 2, 2, 3, 0, 1, 4, 0, 4, 1, 3, 1, 4, 2, 4, 1, 3, 1, 2, 4, 0, 1, 1, 1, 3, 1, 1, 3, 1, 3, 2, 2, 2, 4, 1, 0, 2, 4, 0, 0, 4, 0, 0, 2, 4, 4, 4, 1, 0, 3, 1, 3, 1, 1, 3, 2, 2, 2, 1, 4, 0, 1, 0, 1, 2, 2, 2, 0, 3, 4, 1, 4, 4, 4, 0, 4, 4, 1, 4, 3, 4, 4, 3, 0, 2, 4, 1, 0]
pubkeycol423 = [1, 3, 4, 1, 2, 4, 4, 0, 1, 2, 3, 0, 0, 4, 0, 0, 4, 0, 2, 3, 2, 2, 4, 0, 4, 0, 2, 0, 1, 3, 3, 2, 1, 0, 1, 4, 1, 4, 2, 3, 4, 1, 2, 0, 4, 4, 0, 0, 3, 0, 2, 2, 1, 3, 0, 3, 4, 4, 3, 4, 0, 0, 0, 0, 0, 4, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 4, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 4, 1, 0, 2, 0, 4, 3, 2, 0, 2, 2, 4, 4, 0, 3, 0, 1, 3, 4, 0, 2, 4, 1, 0, 1, 1, 4, 2, 0, 4, 2, 0, 3, 4, 1, 0, 0, 4, 3, 4, 1, 3, 2, 1, 4, 3, 0, 2, 1, 4, 1, 3, 4, 4, 2, 1, 1, 0, 3, 1, 4, 0, 2, 3, 0, 1, 2, 4, 3, 4, 2, 3, 3, 1, 3, 2, 1, 0, 1, 0, 3, 1, 2, 2, 4, 2, 4, 0, 1, 1, 0, 0, 0, 3, 2, 4, 0, 4, 0, 1, 4, 1, 1, 2, 4, 1, 3, 4, 3, 2, 4, 0, 3, 0, 4, 3, 4, 4, 0, 2, 4, 2, 1, 3, 4, 1, 0, 4, 1, 2, 0, 1, 0, 4, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 3, 4, 4, 3, 0, 4, 3, 4, 0, 2, 1, 4, 4, 3, 3, 2, 0, 3, 2, 0, 0, 4, 2, 1, 2, 1, 1, 1, 4, 2, 4, 0, 1, 4, 3, 0, 1, 2, 3, 4, 1, 2, 2, 0, 2, 0, 3, 4, 1, 1, 3, 1, 0, 3, 4, 2, 1, 2, 0, 4, 1, 3, 4, 2, 0, 4, 1, 3, 4, 4, 0, 0, 2, 2, 3, 1, 1, 3, 0, 4, 0, 1, 3, 4, 4, 0, 4, 1, 0, 4, 2, 2, 4, 1, 0, 3, 4, 4, 2, 3, 2, 4, 2, 3, 0, 4, 1, 1, 3, 0, 3, 2, 2, 3, 3, 2, 0, 3, 3, 2, 4, 4, 1, 3, 4, 0, 3, 2, 0, 0, 3, 0, 3, 3, 0, 0, 3, 2, 2, 3, 0, 3, 1, 3, 1, 4, 2, 0, 1, 0, 4, 1, 2, 3, 3, 1, 0, 0, 4, 2, 3, 1, 4, 1, 3, 0]
pubkeycol424 = [3, 4, 2, 3, 2, 3, 2, 1, 2, 4, 0, 2, 4, 4, 3, 1, 3, 4, 2, 4, 1, 0, 0, 0, 0, 0, 4, 1, 1, 4, 4, 0, 0, 1, 4, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 1, 3, 3, 4, 1, 1, 2, 4, 0, 0, 2, 4, 3, 2, 1, 2, 4, 3, 3, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 4, 2, 4, 1, 1, 2, 0, 3, 3, 4, 4, 4, 0, 1, 0, 1, 2, 4, 4, 0, 4, 4, 2, 4, 2, 1, 1, 0, 0, 1, 4, 0, 3, 1, 2, 0, 0, 1, 4, 1, 3, 1, 1, 1, 2, 3, 3, 2, 3, 1, 4, 1, 2, 1, 3, 4, 3, 0, 1, 0, 2, 2, 4, 3, 2, 0, 3, 3, 3, 3, 3, 1, 4, 4, 4, 1, 3, 0, 2, 4, 2, 4, 2, 2, 4, 4, 1, 2, 1, 4, 2, 2, 4, 2, 0, 2, 1, 2, 2, 4, 2, 2, 0, 2, 0, 0, 3, 4, 2, 3, 2, 2, 2, 1, 0, 2, 1, 0, 4, 2, 3, 2, 0, 3, 0, 3, 4, 4, 2, 0, 1, 3, 4, 0, 3, 0, 0, 4, 0, 1, 0, 4, 0, 0, 3, 0, 2, 4, 0, 0, 2, 0, 4, 0, 0, 4, 4, 1, 4, 3, 3, 0, 1, 4, 3, 4, 2, 2, 3, 0, 2, 0, 3, 4, 3, 3, 0, 2, 3, 4, 1, 2, 3, 4, 2, 1, 3, 3, 0, 0, 3, 4, 2, 1, 1, 2, 1, 0, 3, 0, 1, 3, 0, 4, 4, 0, 1, 4, 0, 3, 4, 2, 2, 0, 0, 2, 2, 3, 0, 2, 0, 2, 4, 1, 4, 2, 0, 0, 1, 4, 4, 2, 3, 3, 2, 0, 4, 4, 0, 3, 3, 2, 3, 2, 3, 4, 4, 1, 4, 4, 2, 0, 3, 0, 4, 4, 4, 3, 1, 2, 3, 2, 2, 3, 2, 3, 1, 2, 2, 0, 1, 2, 4, 4, 2, 1, 4, 0, 4, 2, 3, 4, 3, 1, 2, 2, 0, 2, 3, 3, 4, 0, 4, 3, 2, 3, 0, 0, 1, 4, 0, 4, 1, 4, 0, 0, 3, 4, 0, 0, 2, 3, 0, 0, 1, 0, 3, 3, 0, 4, 3, 1, 3, 0, 3, 1]
pubkeycol425 = [3, 4, 0, 3, 4, 4, 4, 2, 0, 4, 0, 1, 4, 0, 1, 4, 1, 2, 0, 4, 2, 2, 0, 1, 1, 1, 2, 4, 1, 1, 4, 0, 4, 1, 0, 0, 1, 1, 2, 1, 4, 0, 2, 0, 3, 3, 1, 2, 4, 1, 3, 2, 1, 1, 1, 2, 2, 3, 0, 0, 1, 1, 4, 1, 2, 4, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 1, 4, 3, 2, 4, 0, 1, 1, 2, 2, 3, 0, 0, 3, 2, 2, 0, 3, 4, 2, 4, 1, 4, 4, 0, 2, 3, 2, 4, 3, 4, 4, 2, 0, 2, 0, 4, 4, 1, 2, 2, 4, 4, 0, 1, 4, 3, 1, 2, 4, 3, 0, 2, 3, 4, 4, 1, 3, 4, 3, 3, 2, 2, 3, 2, 1, 4, 4, 2, 1, 4, 3, 2, 3, 0, 2, 3, 1, 4, 0, 1, 0, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 2, 3, 2, 3, 2, 3, 4, 1, 0, 1, 1, 3, 2, 1, 0, 2, 1, 1, 0, 4, 3, 4, 1, 2, 0, 3, 2, 2, 2, 4, 2, 4, 2, 3, 0, 3, 3, 2, 1, 3, 0, 3, 0, 4, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 3, 1, 3, 4, 1, 2, 3, 0, 4, 3, 0, 2, 2, 2, 2, 2, 1, 0, 4, 3, 4, 3, 1, 4, 3, 3, 0, 2, 0, 3, 3, 4, 1, 2, 2, 1, 2, 1, 4, 3, 0, 4, 2, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 4, 2, 0, 1, 4, 2, 3, 0, 2, 3, 3, 4, 0, 3, 2, 4, 1, 4, 3, 0, 3, 4, 1, 0, 4, 0, 2, 2, 2, 0, 3, 4, 4, 4, 4, 0, 4, 3, 2, 1, 0, 3, 0, 1, 0, 3, 0, 4, 1, 0, 3, 1, 2, 1, 2, 4, 2, 2, 4, 2, 2, 3, 1, 0, 3, 0, 1, 0, 0, 4, 0, 3, 0, 2, 4, 2, 4, 0, 1, 4, 2, 3, 3, 2, 1, 0, 4, 2, 0, 0, 2, 1, 0, 0, 3, 1, 0, 1, 3, 1, 1, 3, 4, 3, 1, 3, 4, 4, 0, 0, 2, 0, 1, 2, 0, 3, 3, 1, 0, 0]
pubkeycol426 = [4, 4, 1, 1, 2, 2, 1, 1, 4, 1, 1, 2, 3, 2, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 2, 3, 3, 0, 2, 4, 0, 3, 2, 0, 0, 4, 4, 2, 1, 2, 4, 0, 4, 2, 1, 0, 2, 2, 0, 3, 2, 4, 0, 0, 3, 0, 1, 0, 0, 0, 3, 2, 2, 2, 4, 0, 0, 3, 0, 3, 0, 0, 2, 3, 1, 0, 1, 0, 3, 0, 0, 4, 0, 4, 0, 4, 2, 0, 4, 4, 0, 3, 2, 0, 3, 0, 1, 4, 3, 1, 1, 3, 1, 0, 3, 1, 2, 2, 3, 1, 1, 1, 3, 1, 4, 4, 0, 0, 3, 1, 4, 0, 1, 0, 2, 3, 2, 0, 1, 4, 3, 2, 4, 3, 1, 2, 4, 1, 0, 3, 3, 3, 0, 4, 3, 4, 2, 2, 3, 4, 4, 2, 1, 1, 1, 0, 4, 4, 4, 1, 3, 1, 0, 3, 1, 4, 0, 2, 4, 3, 2, 0, 1, 1, 4, 1, 4, 3, 3, 1, 1, 3, 3, 3, 3, 3, 2, 4, 0, 1, 2, 3, 3, 2, 3, 1, 1, 2, 1, 2, 1, 3, 4, 4, 0, 3, 1, 0, 1, 4, 1, 2, 0, 0, 2, 1, 0, 0, 1, 4, 1, 3, 2, 2, 4, 4, 0, 4, 0, 2, 0, 0, 1, 3, 1, 0, 0, 4, 0, 1, 3, 2, 0, 0, 0, 4, 0, 3, 1, 4, 4, 4, 0, 2, 4, 1, 3, 2, 2, 1, 1, 2, 2, 4, 0, 3, 3, 1, 1, 3, 4, 4, 0, 1, 4, 4, 4, 1, 2, 3, 2, 3, 0, 4, 0, 4, 0, 1, 1, 1, 0, 3, 2, 1, 2, 0, 3, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 4, 0, 3, 3, 1, 3, 0, 4, 0, 3, 2, 0, 4, 2, 3, 0, 2, 4, 1, 1, 1, 3, 0, 0, 0, 1, 2, 2, 1, 3, 3, 3, 0, 3, 0, 1, 3, 4, 3, 2, 0, 0, 0, 1, 0, 4, 3, 4, 2, 0, 3, 0, 3, 4, 2, 1, 3, 1, 3, 2, 3, 3, 1, 3, 2, 3, 2, 4, 1, 2, 4, 4, 1, 3, 1, 4, 4, 3, 2, 4, 2, 2, 4, 3, 1, 0, 0, 2, 1]
pubkeycol427 = [1, 2, 1, 1, 1, 2, 0, 4, 4, 3, 1, 0, 2, 4, 4, 3, 3, 2, 2, 0, 3, 3, 4, 1, 2, 4, 2, 1, 4, 4, 4, 2, 4, 2, 2, 4, 0, 1, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 3, 3, 3, 3, 0, 2, 3, 0, 0, 3, 3, 3, 3, 3, 4, 4, 4, 4, 1, 2, 4, 4, 2, 4, 0, 4, 2, 4, 4, 3, 0, 4, 3, 4, 1, 4, 2, 4, 2, 4, 3, 2, 4, 2, 0, 0, 3, 2, 1, 4, 3, 0, 3, 1, 2, 0, 2, 3, 4, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 4, 2, 3, 3, 4, 1, 4, 2, 1, 3, 0, 2, 1, 2, 4, 1, 2, 2, 1, 3, 4, 3, 0, 1, 1, 0, 4, 3, 1, 1, 3, 2, 4, 3, 1, 1, 4, 2, 2, 3, 3, 2, 0, 4, 4, 1, 3, 1, 3, 3, 1, 3, 1, 0, 2, 2, 3, 3, 1, 4, 2, 4, 4, 4, 3, 3, 3, 2, 2, 4, 2, 4, 0, 0, 0, 1, 1, 0, 1, 1, 3, 2, 0, 4, 3, 3, 2, 0, 3, 4, 4, 0, 1, 3, 4, 2, 2, 0, 2, 3, 2, 2, 2, 2, 3, 4, 1, 2, 0, 0, 0, 3, 1, 3, 3, 3, 3, 3, 4, 4, 0, 4, 0, 1, 3, 0, 0, 3, 4, 1, 4, 0, 2, 0, 0, 1, 2, 0, 4, 0, 1, 2, 3, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 4, 1, 1, 1, 2, 2, 3, 0, 4, 3, 0, 2, 1, 2, 0, 4, 2, 1, 4, 0, 3, 1, 2, 2, 0, 4, 3, 1, 3, 2, 3, 1, 3, 4, 4, 3, 1, 2, 4, 2, 0, 2, 0, 0, 3, 0, 0, 4, 4, 4, 2, 4, 3, 3, 1, 1, 2, 2, 4, 2, 0, 2, 3, 3, 2, 1, 4, 2, 4, 0, 1, 0, 3, 3, 3, 3, 2, 2, 0, 2, 1, 1, 0, 1, 3, 1, 0, 1, 3, 2, 3, 1, 3, 4, 4, 1, 4, 1, 2, 1, 2, 2, 4, 1, 3, 0, 0, 1, 0, 0, 1, 2, 1, 4, 3, 0, 0, 1, 4, 2, 2, 2, 0, 2, 2, 2, 4]
pubkeycol428 = [4, 2, 3, 1, 2, 1, 2, 3, 3, 4, 4, 1, 4, 1, 1, 1, 2, 4, 1, 0, 4, 3, 3, 4, 4, 1, 0, 3, 0, 4, 1, 4, 2, 3, 4, 2, 0, 0, 3, 2, 0, 0, 4, 3, 0, 4, 3, 3, 4, 1, 3, 1, 3, 2, 4, 3, 2, 2, 2, 1, 4, 3, 3, 1, 1, 4, 1, 0, 3, 0, 1, 3, 3, 0, 1, 1, 4, 0, 4, 4, 3, 4, 2, 1, 1, 3, 1, 2, 3, 1, 1, 3, 0, 4, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 3, 4, 0, 1, 4, 1, 3, 1, 0, 4, 3, 0, 0, 2, 3, 2, 3, 2, 0, 3, 0, 3, 0, 2, 0, 0, 3, 0, 4, 4, 4, 4, 1, 4, 1, 3, 4, 0, 3, 2, 3, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 4, 0, 0, 1, 1, 2, 3, 3, 3, 0, 0, 1, 1, 1, 3, 0, 0, 3, 1, 2, 4, 0, 1, 3, 2, 0, 3, 3, 1, 0, 3, 2, 1, 1, 2, 0, 1, 3, 3, 0, 4, 1, 3, 1, 0, 1, 1, 3, 4, 0, 1, 2, 2, 2, 0, 3, 4, 4, 3, 2, 1, 4, 3, 0, 0, 0, 4, 1, 2, 1, 1, 3, 0, 0, 3, 1, 2, 2, 1, 0, 0, 4, 2, 3, 4, 0, 0, 1, 1, 3, 0, 3, 4, 0, 2, 2, 1, 1, 3, 3, 0, 3, 3, 2, 2, 0, 2, 0, 3, 2, 3, 3, 4, 1, 3, 3, 0, 0, 0, 4, 1, 3, 2, 3, 0, 2, 0, 0, 0, 3, 4, 1, 2, 3, 2, 4, 0, 2, 1, 3, 3, 2, 2, 2, 2, 3, 4, 4, 0, 1, 0, 3, 3, 3, 0, 4, 0, 1, 0, 0, 1, 1, 1, 2, 2, 3, 1, 2, 3, 0, 3, 1, 2, 0, 4, 4, 1, 2, 0, 3, 2, 4, 4, 1, 0, 4, 3, 1, 2, 1, 0, 0, 2, 0, 4, 1, 4, 4, 3, 2, 2, 2, 3, 2, 3, 1, 1, 1, 4, 0, 4, 0, 2, 1, 0, 1, 3, 0, 3, 4, 1, 3, 2, 2, 3, 2, 4, 4, 4, 4, 3, 2, 0, 3, 1, 2, 4, 0, 4, 0]
pubkeycol429 = [0, 0, 3, 0, 3, 0, 0, 2, 4, 3, 4, 0, 2, 3, 4, 3, 2, 1, 0, 2, 1, 1, 2, 1, 2, 4, 0, 2, 3, 0, 1, 3, 1, 0, 3, 0, 0, 4, 4, 0, 3, 4, 4, 0, 2, 1, 3, 4, 4, 3, 3, 4, 3, 2, 3, 1, 4, 2, 1, 1, 3, 2, 3, 1, 2, 4, 1, 1, 0, 2, 2, 3, 2, 0, 3, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 4, 2, 3, 4, 0, 0, 0, 3, 0, 3, 2, 1, 0, 0, 4, 2, 3, 4, 4, 1, 4, 0, 0, 3, 3, 2, 4, 2, 3, 3, 4, 0, 1, 2, 4, 4, 3, 1, 3, 1, 1, 3, 4, 3, 4, 4, 4, 3, 0, 0, 4, 2, 3, 2, 3, 0, 0, 2, 3, 3, 3, 1, 4, 2, 4, 0, 0, 0, 3, 4, 3, 0, 2, 1, 2, 4, 2, 1, 4, 4, 2, 2, 3, 4, 2, 1, 0, 3, 2, 2, 4, 3, 1, 2, 2, 3, 0, 4, 2, 1, 1, 1, 4, 4, 4, 2, 3, 3, 1, 2, 2, 0, 0, 4, 3, 3, 2, 2, 1, 1, 1, 3, 1, 2, 3, 2, 2, 0, 3, 4, 0, 2, 0, 3, 1, 3, 0, 1, 4, 2, 4, 3, 1, 3, 3, 1, 2, 4, 0, 2, 3, 1, 1, 3, 0, 0, 2, 1, 1, 3, 2, 0, 2, 1, 4, 3, 4, 3, 0, 1, 4, 0, 4, 2, 1, 2, 1, 4, 3, 4, 3, 4, 0, 2, 3, 0, 2, 2, 4, 4, 4, 2, 3, 3, 0, 0, 2, 2, 1, 3, 0, 3, 1, 3, 2, 2, 0, 4, 3, 4, 2, 0, 0, 3, 4, 4, 3, 4, 2, 4, 0, 3, 0, 0, 2, 4, 3, 2, 0, 1, 4, 1, 1, 2, 1, 0, 1, 3, 4, 3, 2, 3, 4, 2, 4, 3, 3, 2, 3, 3, 4, 1, 0, 1, 3, 4, 2, 4, 2, 1, 3, 2, 4, 2, 0, 2, 4, 0, 1, 1, 0, 0, 2, 0, 2, 3, 1, 1, 3, 0, 0, 1, 4, 0, 0, 4, 4, 3, 3, 1, 0, 4, 2, 2, 4, 3, 1, 2, 4, 2, 1, 2, 2, 1, 4, 2, 3, 0, 3, 0, 0, 2, 1, 2, 1]
pubkeycol430 = [0, 2, 1, 0, 0, 3, 1, 2, 4, 0, 1, 1, 3, 3, 1, 1, 4, 4, 1, 0, 1, 1, 1, 2, 0, 0, 3, 2, 0, 1, 4, 0, 0, 2, 3, 0, 0, 0, 0, 1, 2, 1, 0, 3, 0, 1, 1, 0, 0, 2, 2, 3, 0, 0, 2, 4, 2, 2, 3, 4, 2, 2, 2, 0, 2, 0, 0, 3, 0, 2, 1, 2, 2, 3, 2, 0, 4, 4, 3, 1, 4, 1, 1, 1, 1, 4, 0, 2, 0, 2, 2, 2, 1, 3, 0, 3, 2, 1, 4, 3, 4, 0, 0, 4, 4, 0, 3, 4, 2, 2, 0, 3, 2, 4, 3, 3, 4, 4, 4, 3, 2, 0, 0, 4, 0, 3, 4, 0, 0, 4, 3, 0, 3, 2, 3, 3, 0, 3, 0, 3, 4, 2, 2, 2, 1, 2, 1, 4, 1, 4, 1, 1, 3, 1, 2, 4, 2, 1, 1, 2, 3, 3, 0, 2, 4, 0, 0, 2, 1, 1, 2, 4, 1, 0, 4, 2, 4, 4, 1, 2, 4, 3, 0, 2, 2, 1, 3, 3, 2, 1, 2, 4, 0, 3, 1, 0, 2, 0, 0, 4, 3, 4, 4, 2, 2, 2, 2, 0, 1, 4, 2, 3, 3, 2, 1, 3, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 3, 2, 3, 0, 3, 1, 2, 1, 3, 4, 0, 2, 1, 0, 0, 3, 1, 0, 2, 4, 0, 3, 0, 3, 2, 2, 4, 2, 2, 1, 2, 1, 0, 4, 4, 1, 3, 4, 1, 3, 0, 0, 3, 2, 1, 2, 3, 2, 4, 2, 0, 3, 3, 1, 4, 2, 0, 0, 4, 1, 1, 4, 3, 2, 3, 1, 0, 2, 0, 1, 3, 4, 4, 1, 2, 4, 1, 3, 4, 4, 1, 2, 0, 1, 0, 4, 4, 4, 4, 4, 0, 4, 1, 4, 4, 3, 1, 3, 3, 0, 1, 0, 2, 0, 4, 1, 4, 1, 2, 1, 1, 0, 1, 0, 1, 3, 2, 2, 2, 4, 3, 0, 0, 4, 4, 2, 0, 1, 3, 3, 0, 2, 3, 1, 4, 1, 3, 4, 1, 2, 3, 3, 4, 3, 4, 3, 1, 4, 1, 0, 1, 4, 4, 4, 3, 4, 3, 4, 2, 3, 4, 3, 1, 3, 2, 1, 0, 3, 1, 1, 2, 2, 3, 4]
pubkeycol431 = [2, 1, 0, 3, 0, 2, 1, 3, 1, 2, 4, 2, 3, 0, 4, 4, 1, 3, 3, 0, 2, 2, 3, 2, 2, 4, 0, 1, 2, 1, 4, 1, 1, 3, 1, 4, 2, 2, 3, 4, 0, 4, 3, 2, 1, 4, 3, 0, 3, 3, 2, 4, 1, 2, 4, 3, 4, 3, 4, 0, 1, 0, 4, 1, 0, 3, 4, 0, 2, 3, 0, 2, 4, 2, 3, 2, 4, 4, 4, 0, 1, 2, 1, 1, 3, 0, 1, 2, 3, 4, 1, 2, 0, 0, 0, 3, 4, 1, 2, 4, 1, 1, 0, 4, 4, 0, 0, 3, 2, 3, 3, 4, 0, 3, 1, 2, 2, 2, 0, 3, 3, 0, 3, 2, 4, 0, 0, 2, 2, 0, 1, 3, 3, 1, 4, 3, 4, 0, 1, 3, 1, 0, 3, 0, 3, 3, 3, 4, 4, 2, 2, 3, 1, 0, 3, 4, 0, 1, 4, 3, 0, 3, 0, 3, 1, 3, 2, 3, 0, 1, 0, 3, 3, 1, 3, 1, 0, 3, 2, 3, 2, 0, 2, 2, 2, 0, 2, 3, 4, 2, 4, 3, 3, 0, 4, 0, 2, 3, 0, 2, 4, 1, 4, 2, 1, 2, 4, 4, 3, 3, 3, 1, 3, 0, 1, 0, 1, 2, 1, 0, 3, 3, 1, 2, 2, 1, 2, 2, 4, 3, 3, 2, 0, 2, 1, 3, 2, 3, 2, 1, 0, 4, 3, 3, 3, 2, 3, 0, 0, 2, 3, 3, 2, 4, 1, 0, 1, 4, 2, 2, 4, 1, 1, 3, 2, 2, 0, 4, 3, 4, 0, 2, 1, 2, 0, 2, 4, 1, 3, 1, 1, 0, 0, 3, 4, 0, 0, 4, 1, 2, 4, 0, 4, 1, 2, 1, 3, 3, 3, 4, 1, 4, 2, 0, 3, 3, 3, 1, 1, 3, 0, 4, 2, 1, 1, 1, 3, 4, 4, 3, 4, 3, 4, 2, 1, 3, 4, 4, 0, 1, 4, 1, 3, 4, 2, 0, 4, 3, 0, 2, 0, 3, 4, 1, 4, 4, 0, 2, 4, 0, 2, 0, 4, 4, 1, 1, 0, 4, 3, 2, 2, 1, 2, 0, 1, 1, 3, 0, 2, 1, 1, 4, 0, 0, 3, 4, 3, 0, 4, 0, 1, 4, 2, 0, 1, 4, 4, 3, 1, 1, 3, 4, 3, 3, 3, 3, 3, 0, 1, 0]
pubkeycol432 = [0, 4, 4, 3, 0, 4, 4, 1, 0, 3, 0, 3, 1, 0, 0, 4, 3, 4, 4, 1, 1, 3, 0, 3, 2, 0, 4, 4, 2, 4, 3, 2, 0, 2, 0, 4, 0, 4, 1, 4, 1, 4, 1, 2, 1, 1, 1, 4, 0, 0, 0, 1, 3, 0, 2, 0, 1, 3, 1, 4, 3, 4, 0, 0, 3, 1, 2, 3, 3, 3, 1, 3, 4, 0, 3, 3, 2, 0, 0, 3, 0, 2, 3, 2, 2, 3, 4, 2, 1, 2, 0, 1, 2, 2, 3, 2, 2, 1, 3, 4, 4, 3, 2, 1, 3, 0, 4, 2, 1, 4, 0, 2, 0, 1, 2, 3, 3, 0, 0, 2, 1, 4, 1, 1, 4, 4, 4, 4, 3, 3, 0, 4, 4, 4, 2, 3, 0, 2, 3, 1, 1, 4, 1, 4, 4, 4, 1, 1, 3, 2, 2, 3, 3, 2, 4, 3, 1, 4, 2, 4, 1, 4, 4, 1, 0, 3, 4, 3, 0, 1, 0, 1, 4, 4, 2, 2, 3, 3, 0, 2, 4, 4, 2, 2, 1, 1, 0, 1, 3, 2, 2, 1, 4, 2, 4, 1, 4, 0, 3, 1, 4, 3, 4, 0, 4, 4, 3, 2, 1, 0, 0, 3, 4, 3, 4, 4, 3, 2, 0, 2, 3, 2, 1, 1, 2, 3, 2, 0, 4, 3, 4, 0, 4, 2, 0, 1, 0, 3, 3, 0, 3, 1, 3, 1, 0, 0, 3, 4, 3, 3, 4, 2, 1, 3, 1, 2, 4, 0, 4, 1, 3, 3, 3, 3, 4, 4, 2, 1, 3, 4, 4, 2, 3, 2, 4, 2, 4, 0, 4, 2, 3, 3, 3, 1, 2, 1, 0, 2, 0, 0, 4, 3, 0, 0, 3, 4, 3, 0, 4, 0, 2, 1, 1, 3, 0, 4, 2, 4, 0, 1, 2, 2, 3, 0, 0, 2, 2, 2, 1, 3, 4, 0, 0, 0, 2, 0, 4, 0, 4, 3, 0, 0, 3, 4, 2, 0, 3, 1, 4, 0, 1, 3, 2, 3, 0, 0, 4, 1, 4, 3, 3, 4, 4, 3, 3, 0, 1, 1, 1, 4, 0, 1, 3, 1, 0, 0, 2, 1, 1, 3, 3, 1, 3, 3, 1, 2, 4, 2, 2, 1, 4, 0, 2, 1, 1, 4, 2, 4, 1, 3, 3, 3, 3, 2, 2, 1, 3, 4, 3, 4]
pubkeycol433 = [4, 1, 4, 3, 1, 1, 1, 3, 0, 4, 0, 1, 3, 0, 4, 2, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 3, 1, 0, 2, 4, 0, 1, 2, 0, 4, 2, 3, 3, 1, 3, 1, 1, 0, 4, 4, 0, 2, 1, 4, 0, 4, 0, 1, 3, 0, 2, 0, 4, 1, 2, 4, 4, 3, 0, 2, 1, 4, 3, 4, 2, 4, 1, 0, 4, 3, 1, 4, 0, 1, 4, 3, 4, 4, 1, 4, 4, 1, 2, 3, 0, 4, 1, 0, 4, 0, 0, 3, 3, 2, 1, 0, 3, 4, 3, 4, 0, 0, 3, 4, 4, 2, 0, 3, 0, 4, 0, 2, 4, 0, 3, 0, 0, 2, 2, 3, 1, 2, 2, 2, 2, 4, 1, 2, 0, 0, 0, 2, 2, 4, 0, 4, 0, 3, 1, 0, 1, 4, 0, 2, 2, 0, 2, 4, 0, 3, 4, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 1, 4, 1, 1, 1, 0, 2, 1, 3, 3, 4, 0, 4, 3, 1, 2, 0, 2, 1, 4, 3, 0, 1, 4, 3, 4, 1, 0, 2, 4, 2, 2, 0, 4, 0, 2, 2, 1, 3, 0, 1, 1, 1, 0, 1, 0, 3, 2, 2, 3, 2, 0, 3, 0, 0, 1, 3, 3, 0, 1, 1, 4, 1, 3, 3, 1, 0, 2, 2, 4, 1, 0, 3, 1, 3, 0, 2, 1, 3, 2, 0, 4, 1, 3, 4, 4, 3, 3, 2, 3, 0, 3, 1, 2, 3, 2, 0, 2, 3, 0, 4, 3, 2, 4, 0, 3, 0, 3, 3, 4, 3, 1, 2, 1, 3, 1, 3, 3, 2, 0, 4, 1, 2, 3, 2, 0, 3, 2, 2, 4, 3, 4, 4, 4, 1, 4, 4, 0, 0, 4, 1, 0, 2, 1, 0, 3, 2, 2, 1, 0, 3, 1, 3, 4, 2, 0, 3, 1, 1, 3, 3, 4, 1, 4, 1, 3, 1, 0, 0, 0, 2, 4, 1, 2, 0, 3, 0, 4, 1, 4, 0, 4, 1, 4, 0, 2, 0, 3, 3, 0, 4, 3, 0, 4, 0, 0, 1, 1, 1, 2, 1, 0, 3, 2, 2, 3, 2, 4, 2, 1, 0, 2, 2, 4, 1, 4, 4, 0, 2, 3]
pubkeycol434 = [1, 2, 2, 4, 3, 1, 3, 0, 3, 3, 2, 2, 1, 2, 0, 4, 2, 1, 2, 1, 4, 2, 3, 0, 4, 4, 0, 1, 4, 1, 2, 4, 2, 0, 3, 0, 2, 4, 3, 2, 0, 4, 1, 0, 3, 4, 4, 3, 3, 3, 2, 4, 1, 4, 2, 0, 3, 2, 3, 0, 1, 0, 2, 2, 2, 0, 0, 2, 3, 2, 0, 3, 2, 4, 2, 2, 4, 4, 2, 0, 1, 1, 2, 4, 0, 0, 3, 3, 0, 2, 4, 1, 0, 3, 0, 1, 1, 3, 1, 2, 4, 1, 1, 3, 2, 2, 3, 3, 4, 4, 0, 1, 2, 4, 1, 3, 4, 1, 3, 1, 1, 1, 2, 3, 1, 0, 2, 0, 4, 4, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 4, 1, 3, 1, 3, 3, 4, 4, 2, 0, 3, 4, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 3, 4, 4, 4, 4, 3, 1, 1, 4, 2, 0, 3, 0, 4, 1, 4, 2, 0, 4, 1, 0, 2, 2, 3, 1, 4, 4, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 0, 3, 2, 2, 3, 0, 4, 0, 1, 1, 4, 1, 4, 0, 1, 2, 0, 0, 0, 4, 0, 0, 2, 2, 2, 3, 3, 3, 3, 4, 3, 0, 2, 0, 1, 0, 1, 1, 4, 0, 0, 4, 4, 4, 4, 3, 1, 3, 1, 2, 3, 0, 0, 0, 3, 1, 2, 2, 0, 3, 1, 1, 4, 4, 1, 1, 1, 3, 2, 0, 4, 2, 0, 2, 3, 1, 0, 1, 3, 2, 1, 3, 1, 2, 3, 3, 3, 3, 0, 4, 0, 4, 3, 3, 4, 2, 4, 1, 3, 4, 0, 0, 1, 1, 1, 4, 1, 1, 3, 2, 4, 1, 2, 3, 0, 2, 2, 1, 2, 4, 3, 1, 3, 4, 4, 1, 3, 4, 1, 4, 1, 4, 1, 4, 3, 0, 2, 0, 4, 0, 2, 2, 1, 4, 4, 4, 0, 0, 0, 1, 0, 3, 0, 4, 2, 4, 0, 3, 4, 1, 0, 4, 4, 1, 0, 0, 1, 1, 2, 0, 4, 3, 0, 1, 3, 1, 4, 0, 1, 4, 4, 3, 3, 2, 4, 3, 0, 0, 1, 4, 3, 4, 1, 3, 3, 1, 2, 0, 3, 1]
pubkeycol435 = [3, 4, 4, 0, 1, 0, 3, 2, 3, 2, 4, 4, 0, 2, 1, 3, 2, 3, 4, 4, 3, 4, 1, 1, 2, 0, 3, 4, 3, 4, 2, 1, 4, 4, 3, 0, 2, 4, 4, 2, 2, 1, 4, 0, 1, 2, 2, 4, 0, 3, 2, 3, 4, 4, 2, 1, 1, 4, 0, 4, 2, 0, 1, 0, 0, 4, 2, 2, 0, 3, 0, 2, 0, 1, 4, 4, 1, 4, 1, 4, 2, 3, 4, 2, 1, 2, 0, 3, 3, 1, 4, 1, 2, 2, 3, 0, 2, 4, 3, 3, 2, 4, 1, 3, 2, 1, 4, 2, 1, 1, 2, 1, 1, 4, 2, 4, 4, 1, 3, 2, 3, 0, 0, 1, 2, 2, 4, 3, 0, 1, 4, 4, 1, 0, 3, 0, 4, 0, 1, 0, 1, 4, 2, 2, 4, 4, 3, 4, 0, 1, 1, 3, 2, 1, 4, 3, 4, 2, 3, 3, 4, 0, 3, 0, 4, 0, 0, 3, 1, 4, 2, 3, 0, 2, 1, 2, 2, 0, 3, 3, 3, 1, 0, 1, 1, 3, 2, 4, 1, 3, 2, 4, 4, 4, 1, 3, 4, 0, 0, 3, 1, 1, 3, 3, 0, 2, 2, 0, 2, 3, 0, 1, 1, 3, 4, 1, 0, 4, 1, 0, 2, 4, 2, 4, 1, 4, 1, 1, 2, 4, 0, 3, 1, 4, 3, 1, 0, 1, 3, 0, 0, 2, 0, 4, 0, 3, 2, 2, 4, 1, 4, 3, 2, 3, 2, 2, 1, 0, 3, 2, 1, 4, 2, 1, 2, 1, 2, 1, 3, 4, 0, 3, 3, 1, 4, 2, 2, 4, 3, 1, 0, 1, 3, 1, 4, 4, 4, 1, 3, 3, 0, 4, 0, 4, 0, 0, 0, 2, 0, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 0, 4, 0, 3, 0, 0, 1, 0, 3, 3, 3, 1, 3, 4, 2, 2, 3, 3, 4, 0, 2, 2, 4, 0, 2, 0, 0, 2, 1, 0, 3, 0, 2, 1, 2, 3, 0, 4, 3, 2, 1, 0, 3, 1, 2, 0, 1, 0, 2, 0, 3, 4, 1, 0, 0, 3, 3, 2, 2, 2, 0, 3, 0, 2, 2, 2, 1, 1, 3, 0, 3, 0, 2, 0, 4, 0, 4, 4, 3, 3, 1, 4, 0, 1, 0, 0, 2]
pubkeycol436 = [4, 2, 2, 0, 3, 1, 1, 3, 3, 2, 4, 0, 1, 4, 3, 2, 4, 3, 3, 0, 0, 2, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 3, 3, 3, 0, 4, 0, 4, 2, 2, 4, 1, 4, 1, 3, 2, 1, 4, 3, 1, 1, 0, 3, 4, 4, 1, 2, 3, 2, 0, 1, 4, 3, 1, 0, 2, 4, 3, 1, 1, 1, 4, 2, 4, 3, 3, 4, 2, 2, 2, 2, 3, 1, 2, 1, 4, 3, 0, 2, 4, 1, 0, 1, 4, 0, 0, 0, 1, 4, 3, 1, 0, 0, 2, 3, 0, 2, 4, 3, 1, 1, 4, 2, 4, 0, 0, 3, 2, 2, 1, 2, 0, 0, 3, 4, 1, 0, 1, 0, 0, 3, 0, 2, 2, 1, 1, 3, 4, 0, 4, 0, 3, 1, 4, 3, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 3, 4, 0, 3, 0, 1, 3, 0, 2, 2, 1, 4, 2, 1, 0, 2, 4, 2, 3, 2, 4, 0, 1, 0, 2, 2, 2, 4, 4, 4, 4, 4, 4, 2, 1, 0, 0, 4, 0, 4, 2, 4, 4, 3, 2, 4, 3, 1, 0, 3, 3, 4, 2, 4, 4, 0, 1, 2, 3, 0, 3, 4, 3, 2, 2, 2, 2, 1, 4, 1, 0, 0, 4, 1, 2, 0, 2, 4, 1, 4, 3, 3, 4, 3, 3, 2, 4, 2, 3, 1, 3, 2, 2, 0, 1, 3, 1, 2, 4, 1, 2, 1, 2, 3, 2, 4, 1, 2, 3, 3, 1, 1, 2, 1, 2, 1, 4, 2, 4, 2, 3, 4, 3, 1, 4, 1, 0, 3, 4, 4, 3, 0, 4, 1, 2, 1, 0, 1, 0, 4, 3, 1, 0, 4, 4, 3, 2, 2, 3, 4, 1, 3, 2, 4, 4, 0, 4, 2, 2, 0, 1, 4, 2, 2, 4, 1, 2, 1, 4, 3, 0, 2, 0, 0, 2, 3, 2, 4, 0, 0, 3, 3, 1, 3, 2, 3, 0, 4, 2, 0, 4, 4, 1, 1, 0, 1, 4, 0, 3, 1, 4, 1, 1, 1, 1, 3, 3, 4, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 4, 4, 3, 3, 4, 1, 4, 0, 1, 0, 0, 0, 3, 0, 4, 0, 3, 1]
pubkeycol437 = [2, 0, 0, 0, 0, 4, 2, 3, 2, 3, 3, 1, 2, 2, 4, 4, 2, 4, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 3, 2, 1, 2, 2, 1, 2, 4, 3, 2, 0, 4, 3, 4, 2, 4, 1, 3, 0, 0, 0, 3, 1, 1, 1, 3, 1, 2, 3, 0, 2, 4, 4, 1, 1, 0, 1, 1, 4, 4, 3, 2, 3, 0, 4, 1, 4, 2, 4, 4, 1, 2, 1, 0, 0, 0, 4, 3, 4, 4, 2, 1, 0, 4, 3, 2, 1, 0, 4, 4, 1, 2, 1, 0, 2, 2, 0, 3, 4, 2, 4, 1, 3, 2, 0, 1, 4, 1, 4, 0, 2, 3, 0, 4, 0, 3, 2, 2, 1, 3, 3, 4, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 3, 4, 3, 1, 2, 3, 1, 0, 4, 4, 4, 0, 4, 4, 4, 4, 3, 2, 3, 2, 1, 2, 2, 2, 4, 0, 2, 3, 3, 4, 1, 2, 3, 2, 4, 2, 3, 3, 3, 4, 1, 3, 2, 0, 2, 1, 3, 1, 2, 2, 1, 1, 4, 0, 1, 3, 0, 4, 2, 0, 3, 0, 1, 3, 2, 2, 3, 2, 1, 2, 4, 0, 1, 1, 0, 1, 2, 0, 0, 3, 0, 3, 1, 2, 4, 3, 3, 4, 1, 3, 4, 0, 4, 4, 2, 3, 0, 2, 3, 2, 1, 1, 1, 2, 2, 4, 2, 1, 2, 4, 3, 2, 0, 2, 4, 4, 2, 4, 4, 0, 0, 2, 4, 1, 2, 4, 1, 2, 2, 3, 3, 4, 4, 1, 4, 0, 2, 2, 3, 3, 2, 2, 4, 0, 2, 3, 4, 4, 3, 0, 1, 1, 2, 3, 4, 4, 2, 3, 2, 2, 2, 4, 0, 1, 0, 1, 4, 2, 1, 0, 4, 0, 4, 3, 3, 3, 3, 4, 2, 2, 4, 2, 0, 4, 4, 0, 2, 4, 4, 4, 3, 3, 0, 4, 1, 0, 3, 4, 0, 2, 3, 0, 3, 4, 3, 4, 3, 3, 2, 0, 2, 3, 3, 2, 4, 3, 0, 1, 4, 4, 2, 2, 1, 2, 1, 3, 1, 3, 4, 4, 1, 3, 4, 1, 4, 0, 3, 1, 1, 4, 1, 3, 1, 4, 2, 2, 4, 2, 2, 4, 3, 1, 4, 0, 1, 0, 1, 3]
pubkeycol438 = [2, 0, 4, 1, 1, 3, 0, 0, 4, 2, 2, 3, 4, 4, 2, 3, 3, 2, 2, 1, 3, 4, 1, 2, 1, 2, 0, 1, 0, 3, 3, 1, 0, 0, 2, 3, 2, 0, 1, 2, 3, 2, 0, 2, 0, 2, 1, 0, 4, 2, 0, 0, 4, 1, 0, 3, 0, 4, 0, 2, 1, 3, 1, 4, 3, 1, 0, 1, 0, 0, 2, 4, 2, 2, 3, 4, 3, 2, 0, 2, 1, 0, 2, 3, 2, 1, 2, 2, 0, 0, 3, 1, 4, 1, 2, 4, 3, 2, 2, 1, 1, 4, 0, 2, 2, 3, 3, 3, 4, 2, 4, 3, 2, 4, 4, 1, 2, 1, 3, 0, 4, 1, 1, 3, 0, 0, 1, 2, 0, 0, 0, 0, 4, 2, 3, 4, 1, 0, 2, 3, 0, 3, 1, 2, 1, 3, 2, 0, 0, 4, 1, 2, 3, 3, 1, 1, 2, 4, 4, 3, 3, 4, 4, 4, 3, 1, 1, 0, 2, 1, 2, 0, 3, 0, 4, 1, 1, 0, 4, 1, 4, 0, 2, 3, 4, 1, 4, 0, 3, 1, 2, 0, 0, 1, 1, 1, 0, 3, 0, 1, 3, 3, 0, 1, 1, 2, 3, 0, 0, 0, 1, 4, 2, 0, 3, 3, 2, 1, 1, 3, 4, 0, 0, 4, 4, 1, 0, 3, 0, 2, 1, 0, 4, 0, 0, 4, 4, 4, 1, 3, 1, 2, 3, 1, 4, 1, 3, 1, 1, 1, 1, 3, 4, 3, 1, 2, 4, 3, 3, 4, 3, 2, 4, 0, 2, 1, 4, 2, 4, 4, 4, 0, 1, 1, 0, 2, 3, 1, 3, 4, 3, 0, 4, 2, 3, 2, 4, 0, 4, 4, 1, 2, 0, 4, 3, 4, 1, 2, 1, 4, 1, 3, 2, 2, 4, 3, 0, 0, 0, 3, 1, 2, 1, 2, 3, 1, 0, 3, 1, 1, 4, 2, 3, 3, 4, 4, 4, 3, 0, 1, 4, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 1, 2, 0, 4, 1, 2, 3, 2, 3, 3, 0, 0, 1, 4, 4, 4, 4, 4, 2, 1, 3, 4, 4, 3, 0, 2, 4, 4, 4, 2, 1, 3, 2, 3, 0, 0, 2, 0, 0, 2, 3, 3, 3, 2, 0, 2, 4, 0, 2, 3, 2, 1, 4, 2, 0, 3]
pubkeycol439 = [2, 0, 1, 0, 2, 3, 3, 1, 2, 4, 4, 2, 3, 0, 1, 3, 1, 0, 2, 4, 1, 4, 2, 1, 2, 0, 0, 0, 3, 4, 1, 4, 0, 2, 2, 3, 0, 0, 3, 2, 3, 4, 1, 0, 4, 3, 1, 0, 3, 4, 4, 1, 3, 0, 2, 1, 0, 0, 1, 1, 2, 2, 4, 3, 0, 1, 1, 1, 3, 1, 2, 1, 0, 4, 2, 2, 2, 1, 2, 1, 4, 4, 4, 1, 2, 3, 4, 3, 1, 1, 1, 2, 4, 1, 4, 1, 4, 4, 3, 3, 2, 3, 2, 2, 2, 0, 2, 3, 4, 2, 4, 4, 0, 1, 2, 1, 0, 4, 2, 4, 4, 2, 0, 2, 0, 3, 4, 4, 0, 1, 3, 4, 0, 3, 4, 4, 1, 0, 2, 2, 2, 0, 0, 1, 3, 1, 1, 0, 2, 2, 2, 1, 3, 3, 3, 4, 3, 0, 2, 2, 3, 2, 0, 0, 2, 3, 2, 2, 2, 0, 4, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 3, 2, 1, 0, 2, 0, 2, 1, 0, 3, 4, 3, 4, 2, 3, 3, 4, 2, 2, 2, 4, 1, 4, 0, 4, 1, 1, 4, 0, 1, 4, 1, 4, 0, 3, 0, 0, 4, 3, 4, 3, 2, 1, 4, 1, 0, 1, 1, 2, 2, 3, 1, 2, 3, 2, 2, 4, 2, 0, 4, 1, 3, 3, 3, 1, 2, 2, 4, 2, 2, 2, 0, 4, 1, 3, 1, 0, 4, 3, 3, 2, 0, 1, 2, 0, 2, 4, 4, 0, 0, 3, 4, 1, 1, 4, 4, 0, 2, 1, 4, 1, 2, 0, 2, 0, 4, 1, 4, 1, 1, 3, 0, 3, 1, 4, 4, 0, 3, 1, 3, 4, 1, 2, 3, 4, 2, 0, 3, 2, 2, 2, 2, 2, 0, 3, 3, 2, 3, 1, 3, 0, 2, 2, 3, 3, 4, 3, 1, 4, 0, 2, 0, 4, 1, 1, 3, 3, 3, 4, 0, 1, 2, 1, 1, 4, 4, 4, 0, 2, 4, 0, 0, 1, 4, 0, 3, 0, 1, 0, 2, 1, 3, 3, 4, 1, 3, 0, 3, 2, 0, 2, 3, 2, 4, 0, 3, 0, 0, 2, 4, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 3, 4, 1]
pubkeycol440 = [1, 4, 4, 2, 3, 2, 1, 3, 0, 4, 4, 2, 4, 3, 2, 3, 0, 1, 0, 1, 1, 4, 3, 3, 2, 2, 3, 1, 4, 2, 3, 3, 2, 0, 0, 1, 1, 2, 0, 4, 3, 3, 0, 1, 4, 4, 0, 2, 3, 1, 3, 2, 1, 2, 0, 3, 2, 4, 1, 2, 4, 1, 3, 1, 1, 1, 3, 2, 0, 0, 4, 1, 3, 3, 4, 2, 1, 0, 3, 4, 1, 4, 0, 2, 4, 2, 1, 3, 3, 2, 0, 3, 0, 2, 1, 1, 3, 3, 3, 2, 2, 0, 0, 1, 3, 0, 2, 4, 2, 2, 0, 2, 2, 3, 1, 1, 2, 1, 1, 0, 0, 2, 3, 4, 2, 3, 4, 1, 1, 2, 1, 1, 0, 0, 4, 1, 4, 3, 4, 2, 3, 3, 1, 3, 3, 1, 1, 2, 2, 1, 2, 1, 2, 3, 3, 0, 4, 1, 2, 1, 3, 3, 4, 2, 0, 1, 0, 0, 1, 4, 3, 3, 2, 2, 1, 0, 3, 0, 0, 4, 1, 0, 4, 0, 0, 0, 0, 0, 2, 2, 0, 4, 4, 3, 4, 1, 3, 3, 4, 4, 0, 3, 4, 2, 2, 1, 4, 1, 4, 3, 4, 2, 1, 0, 4, 0, 2, 0, 4, 0, 4, 0, 2, 1, 2, 1, 0, 4, 4, 1, 0, 3, 0, 2, 0, 3, 4, 3, 4, 1, 3, 1, 2, 1, 0, 4, 3, 4, 1, 4, 2, 0, 4, 2, 3, 1, 4, 2, 3, 3, 4, 3, 3, 2, 2, 1, 3, 0, 4, 0, 2, 4, 4, 3, 1, 3, 0, 0, 3, 4, 2, 3, 4, 3, 1, 2, 3, 2, 0, 0, 2, 4, 0, 3, 3, 4, 3, 0, 0, 4, 3, 0, 0, 1, 1, 0, 2, 2, 2, 3, 0, 0, 3, 2, 1, 0, 0, 1, 0, 1, 4, 1, 2, 4, 3, 0, 3, 0, 4, 3, 3, 0, 3, 1, 1, 1, 4, 1, 3, 1, 3, 3, 0, 4, 4, 1, 2, 3, 2, 0, 0, 4, 1, 3, 2, 4, 2, 4, 0, 3, 4, 0, 1, 0, 3, 1, 1, 4, 3, 3, 3, 2, 2, 4, 2, 3, 4, 1, 1, 0, 2, 2, 1, 2, 1, 0, 3, 2, 4, 3, 4, 3, 1, 4, 3, 4, 3, 0, 1, 3]
pubkeycol441 = [4, 0, 2, 0, 1, 3, 4, 0, 1, 3, 1, 0, 0, 3, 0, 1, 0, 1, 4, 2, 2, 2, 0, 0, 1, 3, 4, 4, 3, 1, 1, 1, 1, 3, 4, 0, 2, 1, 1, 2, 1, 3, 3, 0, 3, 1, 1, 2, 1, 2, 2, 2, 4, 1, 2, 0, 2, 4, 0, 1, 3, 3, 2, 2, 2, 1, 4, 1, 1, 4, 1, 3, 2, 1, 1, 3, 2, 4, 4, 2, 1, 0, 3, 0, 0, 0, 0, 0, 1, 2, 3, 1, 0, 3, 4, 2, 4, 1, 0, 0, 4, 0, 4, 3, 3, 2, 2, 3, 1, 1, 4, 2, 0, 3, 2, 1, 2, 0, 4, 3, 1, 2, 2, 0, 2, 3, 1, 3, 4, 2, 4, 2, 2, 3, 4, 2, 2, 1, 2, 4, 0, 1, 1, 1, 0, 0, 3, 3, 2, 4, 3, 4, 4, 0, 0, 2, 4, 4, 4, 1, 2, 1, 1, 1, 2, 1, 1, 4, 3, 4, 2, 2, 2, 1, 1, 2, 0, 4, 0, 0, 3, 4, 4, 3, 2, 4, 2, 3, 2, 1, 3, 0, 2, 4, 1, 1, 1, 2, 1, 3, 3, 0, 4, 2, 0, 2, 4, 1, 1, 0, 0, 0, 0, 1, 3, 3, 1, 2, 0, 2, 0, 2, 0, 4, 2, 1, 2, 0, 0, 2, 2, 3, 2, 2, 4, 4, 4, 4, 2, 1, 1, 2, 4, 0, 0, 1, 1, 0, 2, 4, 0, 4, 1, 3, 3, 1, 0, 4, 1, 3, 2, 0, 4, 2, 2, 0, 4, 2, 1, 2, 2, 4, 0, 3, 4, 1, 1, 4, 4, 4, 3, 0, 0, 2, 2, 4, 1, 4, 4, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 3, 3, 2, 4, 2, 3, 4, 1, 3, 0, 2, 3, 4, 1, 4, 1, 3, 3, 4, 4, 1, 3, 4, 4, 0, 4, 1, 1, 1, 2, 3, 4, 3, 0, 1, 0, 3, 2, 3, 4, 2, 2, 0, 4, 3, 3, 4, 0, 1, 3, 3, 4, 0, 2, 0, 1, 1, 4, 1, 2, 1, 3, 2, 3, 4, 4, 4, 1, 0, 3, 4, 1, 2, 0, 2, 0, 2, 3, 2, 4, 2, 4, 3, 0, 4, 0, 2, 2, 2, 4, 4, 1, 1, 0, 0, 2, 0, 1, 0, 0, 4]
pubkeycol442 = [3, 3, 1, 2, 3, 4, 0, 0, 4, 4, 2, 0, 4, 3, 4, 3, 2, 0, 4, 1, 2, 4, 2, 3, 3, 1, 0, 1, 3, 4, 3, 4, 2, 3, 2, 2, 0, 4, 2, 4, 1, 3, 2, 4, 1, 4, 4, 3, 4, 1, 0, 1, 2, 3, 4, 2, 2, 2, 4, 0, 2, 4, 1, 0, 1, 1, 2, 4, 3, 1, 1, 3, 1, 0, 3, 3, 1, 3, 2, 3, 4, 4, 0, 1, 0, 4, 3, 3, 1, 1, 1, 2, 1, 3, 2, 2, 3, 4, 1, 0, 4, 2, 4, 0, 2, 3, 1, 0, 3, 4, 2, 0, 2, 2, 3, 2, 0, 0, 3, 1, 1, 2, 0, 0, 3, 1, 0, 2, 3, 2, 1, 3, 4, 4, 0, 1, 2, 3, 4, 0, 0, 1, 0, 3, 1, 0, 2, 0, 1, 1, 0, 3, 2, 4, 4, 1, 4, 0, 0, 1, 4, 1, 1, 3, 1, 4, 4, 2, 3, 2, 0, 0, 0, 3, 1, 4, 3, 1, 2, 1, 4, 3, 0, 4, 4, 3, 2, 3, 2, 4, 1, 3, 4, 4, 2, 1, 1, 3, 0, 4, 0, 1, 1, 2, 4, 3, 2, 0, 4, 4, 0, 1, 4, 0, 3, 1, 0, 1, 3, 1, 3, 0, 3, 1, 4, 4, 1, 2, 4, 2, 4, 3, 0, 4, 2, 3, 3, 3, 1, 0, 3, 1, 4, 4, 2, 4, 0, 1, 0, 3, 1, 2, 1, 3, 3, 0, 0, 3, 2, 3, 1, 0, 1, 1, 3, 0, 2, 1, 4, 4, 0, 3, 1, 4, 2, 1, 0, 3, 0, 3, 1, 1, 2, 0, 2, 1, 0, 1, 3, 0, 0, 3, 3, 0, 1, 0, 0, 0, 4, 1, 2, 1, 2, 1, 2, 3, 0, 3, 2, 4, 4, 4, 4, 0, 2, 2, 2, 4, 0, 3, 2, 2, 2, 4, 2, 3, 4, 2, 3, 4, 4, 2, 0, 1, 3, 1, 2, 3, 4, 0, 1, 2, 4, 1, 2, 2, 4, 1, 0, 4, 0, 4, 1, 1, 4, 4, 3, 3, 4, 4, 0, 2, 0, 1, 3, 3, 1, 0, 2, 0, 2, 3, 3, 2, 1, 2, 0, 0, 4, 4, 4, 1, 1, 0, 1, 2, 2, 4, 4, 2, 1, 2, 0, 2, 0, 4, 2, 1, 3, 0]
pubkeycol443 = [2, 0, 2, 2, 3, 3, 4, 3, 4, 2, 0, 4, 3, 3, 3, 4, 2, 4, 2, 4, 3, 3, 4, 4, 3, 2, 1, 4, 1, 3, 4, 3, 4, 3, 0, 0, 4, 1, 2, 0, 3, 4, 0, 4, 2, 3, 1, 1, 4, 4, 4, 0, 0, 1, 4, 1, 0, 2, 3, 0, 3, 1, 2, 0, 4, 3, 4, 1, 3, 0, 3, 1, 0, 2, 2, 2, 0, 0, 1, 4, 2, 3, 0, 2, 0, 4, 1, 3, 0, 1, 2, 4, 3, 3, 3, 1, 2, 4, 1, 1, 2, 1, 2, 1, 4, 1, 0, 0, 1, 0, 2, 3, 1, 2, 1, 3, 1, 0, 3, 3, 2, 1, 1, 4, 2, 2, 4, 3, 1, 1, 3, 4, 2, 1, 0, 3, 2, 2, 3, 3, 3, 0, 2, 1, 4, 0, 4, 4, 2, 4, 4, 1, 0, 2, 2, 4, 2, 2, 2, 3, 2, 2, 0, 1, 4, 2, 2, 3, 4, 3, 1, 4, 0, 1, 1, 2, 1, 1, 0, 0, 3, 2, 3, 2, 0, 0, 2, 2, 4, 0, 1, 1, 2, 2, 0, 4, 0, 3, 2, 4, 4, 3, 1, 2, 2, 3, 2, 4, 0, 3, 1, 4, 1, 1, 0, 4, 3, 0, 2, 2, 0, 2, 4, 1, 4, 3, 2, 2, 2, 4, 4, 2, 4, 4, 3, 0, 2, 1, 4, 2, 2, 4, 2, 2, 2, 0, 0, 3, 4, 3, 4, 3, 0, 2, 4, 0, 2, 1, 0, 0, 0, 4, 0, 4, 1, 2, 0, 4, 0, 4, 2, 1, 0, 4, 0, 3, 4, 1, 4, 0, 3, 4, 3, 0, 0, 0, 4, 3, 4, 0, 0, 0, 3, 1, 0, 2, 3, 1, 0, 0, 0, 3, 3, 2, 3, 0, 3, 0, 3, 3, 4, 4, 4, 3, 0, 2, 3, 2, 2, 3, 0, 4, 3, 4, 0, 3, 2, 1, 0, 0, 2, 4, 0, 2, 1, 2, 2, 3, 4, 3, 2, 2, 0, 4, 3, 2, 2, 2, 2, 2, 3, 4, 0, 3, 3, 0, 4, 4, 0, 1, 2, 2, 1, 0, 1, 2, 2, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 4, 0, 0, 1, 4, 3, 3, 0, 0, 1, 4, 4, 3, 3, 4, 4, 1, 4, 1, 1, 3, 4, 1]
pubkeycol444 = [4, 1, 2, 3, 1, 2, 2, 0, 1, 3, 2, 0, 1, 2, 0, 3, 1, 4, 3, 2, 0, 3, 4, 0, 3, 0, 4, 1, 2, 3, 2, 0, 1, 0, 3, 4, 1, 2, 4, 3, 2, 0, 1, 0, 0, 0, 2, 3, 0, 2, 2, 4, 0, 2, 3, 2, 1, 0, 4, 2, 4, 1, 1, 4, 4, 4, 2, 1, 4, 3, 4, 4, 4, 3, 4, 4, 3, 1, 3, 4, 3, 1, 2, 2, 4, 0, 0, 4, 4, 3, 0, 1, 1, 3, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 4, 1, 1, 1, 1, 0, 4, 4, 2, 4, 1, 2, 2, 4, 2, 0, 0, 0, 4, 1, 3, 3, 4, 0, 4, 4, 1, 0, 2, 2, 0, 2, 0, 2, 4, 4, 4, 2, 3, 2, 2, 4, 0, 0, 2, 1, 0, 1, 0, 4, 3, 4, 0, 1, 1, 1, 0, 3, 1, 0, 1, 1, 4, 3, 0, 3, 1, 2, 4, 4, 2, 0, 3, 1, 1, 3, 3, 4, 4, 2, 1, 1, 2, 3, 3, 4, 2, 2, 2, 4, 4, 2, 1, 1, 3, 3, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 4, 0, 2, 4, 2, 1, 0, 3, 1, 2, 3, 3, 2, 1, 0, 4, 3, 1, 4, 1, 3, 3, 2, 3, 2, 2, 4, 1, 3, 1, 1, 2, 0, 1, 1, 0, 1, 0, 3, 0, 3, 3, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 4, 0, 1, 4, 2, 1, 4, 4, 3, 4, 1, 1, 3, 3, 2, 0, 2, 4, 0, 3, 3, 4, 3, 2, 3, 4, 3, 0, 2, 2, 0, 1, 0, 3, 3, 4, 2, 2, 2, 0, 1, 4, 4, 1, 2, 0, 1, 0, 4, 1, 1, 3, 1, 1, 0, 2, 4, 1, 3, 4, 2, 1, 1, 3, 4, 3, 2, 3, 0, 0, 3, 4, 4, 3, 4, 1, 0, 4, 2, 1, 1, 3, 2, 2, 1, 1, 2, 4, 1, 3, 4, 2, 0, 4, 1, 3, 2, 3, 3, 2, 4, 0, 1, 1, 4, 0, 0, 1, 3, 0, 2, 3, 2, 1, 1, 3, 4, 0, 4, 4, 4, 4, 3, 0, 1, 0, 0, 2, 1, 2, 2, 4]
pubkeycol445 = [1, 4, 0, 2, 1, 3, 1, 0, 2, 4, 4, 2, 3, 0, 3, 1, 0, 0, 0, 2, 4, 0, 4, 0, 3, 3, 0, 0, 0, 3, 3, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 3, 2, 4, 0, 3, 2, 2, 2, 4, 1, 0, 0, 4, 0, 4, 3, 1, 4, 3, 1, 0, 2, 0, 2, 3, 1, 2, 4, 0, 1, 4, 1, 3, 2, 4, 1, 1, 1, 3, 1, 1, 1, 4, 2, 1, 3, 3, 3, 1, 0, 2, 1, 3, 3, 4, 4, 2, 3, 0, 1, 4, 4, 1, 4, 0, 2, 1, 2, 3, 2, 1, 2, 1, 1, 4, 0, 2, 0, 0, 4, 2, 3, 1, 4, 2, 1, 1, 4, 4, 2, 0, 4, 1, 4, 0, 4, 3, 1, 3, 0, 1, 0, 1, 0, 4, 4, 0, 3, 3, 3, 0, 1, 3, 2, 1, 2, 3, 1, 0, 2, 2, 1, 2, 4, 3, 3, 3, 1, 2, 2, 3, 3, 0, 2, 2, 3, 3, 2, 3, 3, 3, 1, 1, 0, 0, 3, 0, 1, 4, 2, 2, 0, 3, 2, 4, 3, 4, 2, 2, 2, 3, 3, 0, 3, 3, 3, 2, 3, 0, 1, 0, 1, 0, 0, 2, 1, 4, 3, 4, 2, 0, 1, 0, 3, 3, 3, 2, 1, 4, 3, 0, 0, 3, 2, 4, 2, 4, 0, 0, 4, 3, 4, 2, 1, 4, 1, 1, 3, 0, 4, 4, 1, 4, 3, 1, 1, 1, 0, 4, 1, 0, 0, 0, 2, 1, 3, 0, 2, 2, 0, 2, 4, 0, 4, 4, 0, 3, 3, 0, 4, 2, 0, 2, 4, 3, 0, 4, 4, 3, 1, 0, 4, 3, 0, 1, 2, 3, 0, 3, 0, 3, 4, 0, 2, 2, 0, 1, 1, 0, 3, 0, 2, 1, 4, 3, 3, 0, 4, 4, 2, 1, 0, 1, 2, 1, 4, 4, 4, 3, 2, 2, 0, 0, 2, 3, 1, 4, 2, 4, 4, 0, 4, 2, 4, 3, 4, 1, 2, 3, 0, 4, 2, 3, 3, 4, 3, 1, 0, 4, 1, 1, 3, 4, 2, 1, 4, 3, 0, 3, 0, 2, 1, 1, 4, 2, 0, 1, 1, 4, 1, 0, 4, 0, 3, 2, 4, 3, 4, 2, 3, 2, 0, 0, 2, 1, 3]
pubkeycol446 = [1, 3, 2, 3, 0, 2, 0, 0, 4, 1, 1, 0, 4, 0, 0, 3, 1, 4, 1, 2, 1, 1, 3, 4, 3, 2, 3, 3, 2, 3, 2, 0, 3, 2, 3, 3, 1, 2, 1, 2, 3, 3, 2, 0, 1, 0, 1, 1, 1, 3, 4, 1, 2, 3, 2, 2, 2, 4, 3, 0, 4, 4, 0, 4, 3, 0, 2, 0, 3, 3, 3, 4, 3, 3, 0, 1, 3, 4, 2, 0, 2, 4, 0, 2, 0, 3, 1, 4, 1, 1, 1, 0, 3, 1, 2, 2, 1, 0, 1, 2, 2, 3, 4, 3, 3, 4, 3, 1, 4, 1, 0, 2, 4, 1, 2, 0, 1, 0, 1, 3, 2, 0, 0, 2, 1, 0, 3, 1, 4, 1, 4, 2, 2, 4, 1, 1, 4, 1, 2, 1, 1, 3, 1, 0, 4, 1, 1, 4, 2, 0, 4, 2, 4, 4, 3, 3, 4, 3, 1, 2, 1, 0, 0, 0, 1, 2, 4, 3, 4, 4, 1, 1, 0, 3, 1, 1, 0, 0, 4, 3, 4, 3, 2, 1, 3, 1, 0, 4, 0, 1, 3, 4, 4, 3, 4, 1, 1, 4, 4, 1, 2, 2, 2, 1, 2, 2, 0, 4, 3, 1, 2, 1, 1, 3, 1, 4, 0, 1, 0, 0, 3, 3, 0, 4, 2, 1, 3, 0, 0, 3, 0, 2, 1, 0, 3, 1, 3, 1, 4, 4, 2, 2, 2, 4, 2, 2, 0, 0, 3, 3, 3, 1, 0, 0, 4, 4, 1, 4, 3, 1, 3, 0, 2, 4, 3, 3, 2, 0, 1, 0, 1, 2, 2, 3, 3, 4, 1, 3, 2, 3, 0, 4, 4, 2, 2, 0, 1, 1, 3, 1, 4, 0, 3, 3, 2, 4, 0, 1, 4, 1, 3, 1, 4, 3, 3, 1, 2, 2, 0, 4, 4, 3, 1, 0, 3, 4, 2, 4, 4, 3, 1, 0, 2, 2, 1, 4, 2, 1, 1, 3, 0, 4, 3, 2, 4, 3, 0, 1, 0, 0, 1, 1, 0, 2, 2, 4, 2, 3, 1, 2, 3, 4, 0, 1, 3, 4, 3, 2, 1, 0, 2, 4, 3, 0, 0, 3, 0, 2, 1, 4, 4, 2, 1, 4, 1, 0, 3, 3, 0, 2, 3, 4, 4, 0, 3, 4, 1, 3, 3, 1, 4, 2, 2, 2, 0, 4, 2, 3, 4, 4]
pubkeycol447 = [1, 1, 3, 3, 1, 3, 3, 4, 4, 3, 2, 3, 3, 0, 2, 1, 2, 0, 1, 4, 0, 0, 1, 3, 4, 1, 4, 2, 0, 0, 2, 2, 0, 3, 2, 2, 4, 2, 3, 3, 4, 3, 4, 3, 0, 4, 2, 0, 2, 0, 2, 0, 4, 0, 4, 4, 0, 1, 1, 4, 2, 0, 3, 4, 3, 3, 4, 0, 2, 4, 1, 0, 3, 1, 1, 1, 4, 3, 3, 3, 4, 0, 0, 4, 4, 0, 3, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 3, 1, 1, 4, 1, 1, 0, 0, 1, 0, 4, 1, 1, 4, 1, 2, 2, 0, 1, 0, 1, 4, 4, 1, 2, 3, 4, 3, 0, 1, 4, 2, 3, 0, 0, 4, 0, 1, 2, 1, 4, 1, 3, 0, 1, 1, 4, 0, 2, 0, 1, 1, 1, 4, 3, 1, 1, 0, 1, 0, 1, 2, 3, 1, 2, 4, 1, 1, 1, 2, 4, 3, 4, 3, 2, 0, 3, 0, 2, 1, 3, 4, 4, 2, 1, 2, 3, 1, 2, 0, 0, 1, 3, 0, 3, 1, 0, 0, 2, 4, 1, 4, 1, 3, 2, 2, 0, 3, 2, 4, 2, 3, 2, 0, 4, 1, 3, 0, 1, 3, 1, 0, 3, 1, 0, 3, 2, 2, 4, 4, 0, 0, 2, 4, 3, 2, 4, 4, 0, 3, 4, 3, 0, 3, 2, 1, 3, 0, 3, 0, 1, 0, 1, 3, 0, 0, 4, 4, 0, 0, 1, 2, 0, 3, 4, 0, 3, 0, 3, 1, 0, 0, 3, 3, 0, 0, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 2, 0, 2, 0, 2, 1, 3, 1, 0, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 3, 1, 4, 3, 1, 4, 3, 0, 2, 1, 3, 4, 3, 0, 0, 0, 2, 4, 4, 4, 2, 4, 0, 2, 1, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 0, 4, 3, 1, 1, 0, 0, 4, 3, 4, 2, 3, 1, 1, 0, 1, 4, 0, 1, 0, 1, 2, 3, 0, 2, 3, 0, 2, 4, 3, 4, 1, 4, 3, 4, 1, 2, 4, 0, 0, 4, 4, 2, 0, 2, 4, 4, 0, 2, 1, 0, 3, 4, 2, 1, 3, 2]
pubkeycol448 = [1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 1, 1, 2, 1, 0, 0, 3, 0, 3, 2, 2, 1, 1, 1, 3, 3, 2, 3, 1, 2, 3, 1, 3, 2, 3, 0, 0, 2, 0, 2, 3, 0, 0, 2, 3, 1, 2, 3, 3, 3, 4, 4, 3, 2, 0, 0, 3, 4, 4, 3, 1, 1, 3, 3, 2, 2, 0, 1, 3, 2, 2, 3, 4, 2, 1, 2, 2, 3, 1, 3, 2, 2, 0, 0, 2, 2, 3, 4, 2, 0, 0, 2, 1, 0, 2, 2, 2, 3, 1, 1, 2, 2, 2, 3, 0, 2, 4, 0, 2, 3, 0, 3, 2, 0, 2, 2, 0, 4, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 3, 0, 1, 0, 1, 2, 2, 4, 2, 3, 2, 1, 4, 3, 2, 4, 2, 0, 2, 4, 4, 0, 2, 0, 0, 2, 3, 2, 1, 1, 4, 3, 2, 3, 0, 1, 3, 1, 2, 4, 1, 1, 4, 3, 3, 2, 1, 1, 0, 2, 3, 2, 3, 3, 0, 1, 3, 3, 2, 0, 3, 3, 0, 4, 3, 4, 0, 3, 4, 4, 3, 2, 1, 1, 0, 3, 2, 3, 2, 0, 4, 2, 2, 1, 4, 0, 0, 3, 3, 0, 0, 0, 4, 0, 3, 0, 3, 3, 1, 3, 1, 3, 2, 2, 3, 0, 3, 3, 0, 3, 4, 0, 3, 2, 3, 2, 3, 4, 3, 4, 2, 2, 0, 3, 1, 4, 3, 3, 2, 2, 0, 1, 0, 4, 2, 4, 3, 0, 3, 4, 4, 0, 3, 0, 1, 0, 3, 1, 1, 4, 2, 4, 3, 4, 0, 3, 2, 0, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 1, 0, 0, 4, 1, 2, 2, 1, 4, 4, 4, 0, 2, 0, 3, 3, 4, 4, 4, 3, 1, 4, 4, 2, 2, 2, 0, 3, 4, 3, 3, 2, 4, 4, 1, 4, 1, 2, 2, 2, 3, 0, 4, 0, 0, 3, 3, 0, 1, 2, 4, 4, 2, 3, 0, 2, 4, 3, 0, 2, 1, 0, 1, 4, 4, 0, 0, 2, 1, 2, 1, 0, 2, 2, 4, 4, 2, 4, 2, 3, 4, 0, 4, 3, 2, 0, 0, 4, 1, 2, 3, 4, 0, 2, 2, 1, 1, 3, 3, 3, 2, 1, 1]
pubkeycol449 = [2, 0, 2, 3, 1, 2, 3, 2, 4, 4, 3, 3, 0, 0, 0, 4, 3, 1, 1, 3, 2, 0, 2, 4, 3, 2, 3, 0, 2, 0, 1, 3, 3, 3, 1, 2, 2, 4, 2, 3, 1, 2, 2, 0, 0, 4, 3, 4, 4, 2, 0, 4, 0, 2, 2, 3, 0, 3, 1, 3, 3, 0, 3, 2, 4, 4, 2, 1, 3, 1, 2, 1, 0, 1, 3, 2, 1, 0, 3, 0, 0, 2, 0, 0, 0, 4, 4, 3, 0, 2, 3, 2, 1, 4, 1, 2, 4, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 0, 1, 2, 2, 4, 3, 2, 3, 2, 0, 3, 1, 3, 0, 4, 4, 4, 0, 0, 2, 0, 1, 3, 4, 1, 3, 0, 4, 4, 4, 2, 4, 4, 1, 0, 3, 0, 1, 4, 2, 3, 0, 3, 2, 3, 3, 4, 2, 2, 3, 0, 4, 1, 0, 4, 4, 4, 1, 4, 1, 0, 3, 0, 2, 3, 1, 0, 3, 1, 3, 3, 3, 3, 2, 4, 4, 2, 3, 0, 0, 1, 0, 2, 0, 1, 2, 2, 4, 0, 2, 0, 3, 0, 1, 3, 4, 1, 0, 3, 3, 2, 0, 3, 0, 2, 2, 4, 0, 4, 1, 3, 2, 4, 3, 3, 0, 2, 2, 1, 1, 4, 4, 1, 2, 4, 2, 2, 1, 1, 3, 1, 1, 0, 0, 4, 2, 0, 1, 3, 4, 0, 2, 4, 2, 3, 3, 3, 3, 4, 0, 2, 2, 3, 3, 4, 2, 4, 4, 3, 0, 3, 2, 1, 1, 0, 2, 1, 3, 4, 4, 1, 0, 0, 3, 3, 1, 1, 3, 0, 3, 0, 4, 1, 4, 0, 2, 0, 2, 3, 0, 0, 2, 0, 1, 1, 0, 2, 1, 3, 4, 2, 2, 2, 4, 2, 2, 2, 3, 1, 3, 0, 4, 3, 1, 2, 1, 1, 4, 2, 0, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 2, 1, 3, 3, 3, 3, 4, 0, 2, 4, 3, 3, 3, 1, 1, 4, 1, 1, 2, 1, 0, 3, 4, 0, 4, 4, 2, 0, 2, 4, 3, 1, 0, 2, 3, 3, 2, 2, 2, 2, 1, 4, 0, 3, 1, 4, 4, 4, 1, 2, 2, 3, 0, 2, 2, 0, 2, 2, 0, 3, 4, 2, 4]
pubkeycol450 = [2, 2, 3, 3, 1, 1, 1, 3, 1, 0, 3, 4, 0, 4, 2, 1, 1, 2, 3, 2, 4, 4, 1, 1, 4, 3, 1, 1, 4, 4, 0, 4, 3, 4, 2, 1, 2, 2, 2, 0, 2, 2, 4, 0, 2, 4, 1, 1, 0, 2, 3, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 4, 0, 4, 1, 0, 0, 3, 3, 2, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 2, 0, 4, 4, 0, 2, 2, 3, 1, 4, 0, 2, 0, 3, 3, 3, 4, 0, 3, 3, 1, 3, 4, 1, 2, 0, 1, 1, 1, 2, 2, 3, 0, 2, 0, 1, 2, 0, 4, 0, 1, 2, 2, 0, 1, 3, 3, 0, 3, 1, 0, 4, 2, 4, 4, 3, 2, 3, 4, 4, 1, 1, 4, 1, 4, 3, 2, 2, 3, 3, 1, 0, 1, 0, 2, 4, 0, 4, 0, 1, 0, 0, 0, 1, 2, 1, 4, 1, 4, 1, 2, 2, 0, 1, 4, 0, 1, 2, 0, 0, 2, 1, 3, 3, 4, 4, 0, 0, 4, 4, 2, 4, 2, 0, 0, 3, 4, 0, 1, 3, 3, 2, 1, 4, 3, 0, 2, 1, 3, 1, 1, 2, 0, 0, 4, 2, 1, 1, 4, 1, 3, 0, 1, 1, 0, 0, 0, 2, 2, 1, 4, 2, 3, 1, 3, 3, 3, 2, 0, 3, 3, 1, 0, 1, 4, 1, 2, 2, 1, 0, 4, 3, 0, 2, 4, 4, 0, 4, 4, 4, 1, 1, 2, 0, 3, 2, 0, 0, 2, 3, 0, 3, 0, 1, 0, 4, 1, 2, 2, 3, 4, 3, 3, 1, 2, 3, 4, 1, 2, 4, 4, 3, 2, 0, 4, 2, 0, 3, 2, 4, 0, 0, 3, 0, 2, 4, 0, 3, 1, 0, 2, 2, 0, 1, 3, 1, 1, 2, 0, 1, 0, 0, 3, 2, 2, 4, 1, 4, 0, 0, 1, 0, 2, 1, 0, 1, 3, 1, 3, 4, 1, 3, 4, 3, 0, 1, 3, 0, 0, 4, 1, 1, 2, 0, 1, 2, 1, 4, 2, 0, 2, 4, 2, 0, 1, 4, 3, 0, 2, 3, 3, 1, 1, 2, 3, 4, 2, 4, 3, 4, 0, 4, 0, 0, 3, 2, 0, 4, 1, 3, 4, 4, 4, 0, 1, 4, 0, 0, 1]
pubkeycol451 = [3, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 4, 1, 4, 4, 3, 1, 1, 0, 2, 0, 3, 4, 4, 0, 1, 4, 0, 1, 2, 0, 3, 3, 1, 2, 4, 3, 1, 3, 0, 4, 4, 0, 1, 1, 4, 2, 3, 2, 3, 2, 1, 1, 3, 4, 4, 2, 1, 0, 4, 0, 1, 2, 4, 4, 3, 4, 2, 2, 3, 0, 2, 4, 4, 4, 3, 2, 1, 0, 0, 4, 3, 1, 0, 3, 2, 1, 2, 3, 1, 4, 3, 0, 1, 4, 2, 0, 1, 3, 1, 2, 3, 3, 3, 3, 0, 4, 3, 4, 4, 3, 4, 4, 3, 4, 0, 1, 0, 3, 1, 0, 2, 3, 1, 1, 1, 4, 0, 3, 2, 0, 1, 3, 0, 4, 3, 1, 2, 2, 0, 0, 3, 2, 0, 4, 4, 4, 4, 1, 2, 3, 2, 2, 1, 3, 3, 1, 2, 3, 0, 4, 3, 1, 3, 4, 1, 0, 4, 2, 3, 0, 0, 1, 1, 1, 2, 0, 3, 2, 2, 1, 2, 3, 2, 4, 4, 3, 2, 0, 2, 4, 2, 3, 4, 3, 0, 3, 1, 4, 3, 4, 2, 0, 1, 2, 3, 0, 2, 0, 2, 2, 3, 3, 1, 2, 3, 3, 1, 0, 2, 2, 4, 4, 2, 1, 4, 4, 0, 0, 0, 3, 2, 2, 4, 0, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 1, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 0, 2, 0, 0, 1, 3, 1, 4, 2, 2, 3, 0, 2, 1, 1, 0, 3, 3, 4, 1, 4, 3, 0, 0, 2, 4, 2, 0, 4, 1, 1, 3, 2, 2, 1, 2, 3, 1, 1, 1, 1, 0, 4, 0, 4, 4, 3, 2, 1, 3, 1, 3, 0, 1, 0, 1, 4, 0, 2, 3, 3, 3, 4, 2, 4, 0, 1, 4, 4, 4, 4, 4, 4, 4, 2, 0, 1, 2, 3, 3, 4, 4, 1, 4, 2, 1, 0, 1, 1, 3, 0, 3, 4, 2, 1, 3, 0, 1, 3, 1, 4, 2, 4, 0, 1, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 4, 2, 0, 3, 3, 2, 2, 2, 0, 4, 4, 0, 4, 4, 1, 0, 0, 0, 4, 4]
pubkeycol452 = [2, 4, 0, 2, 3, 4, 3, 3, 4, 0, 4, 1, 0, 0, 3, 1, 0, 2, 2, 4, 4, 2, 2, 3, 2, 1, 1, 1, 0, 4, 2, 3, 2, 0, 0, 4, 2, 2, 3, 2, 0, 0, 2, 1, 0, 4, 4, 4, 2, 4, 1, 3, 3, 3, 1, 4, 1, 4, 1, 1, 1, 0, 3, 0, 0, 2, 0, 4, 2, 4, 2, 3, 1, 4, 2, 2, 0, 4, 4, 1, 4, 2, 4, 1, 2, 4, 3, 3, 1, 0, 1, 2, 4, 4, 3, 1, 2, 4, 2, 0, 0, 4, 3, 2, 2, 2, 2, 1, 3, 0, 0, 2, 4, 1, 3, 3, 1, 0, 0, 4, 3, 0, 1, 1, 4, 0, 0, 0, 0, 4, 3, 0, 0, 2, 4, 3, 1, 0, 0, 0, 4, 3, 2, 4, 1, 3, 0, 4, 3, 4, 4, 0, 1, 2, 4, 3, 0, 3, 3, 1, 0, 4, 1, 3, 4, 1, 3, 3, 3, 3, 1, 1, 3, 2, 0, 1, 1, 4, 4, 4, 0, 4, 1, 4, 0, 0, 1, 1, 0, 2, 2, 3, 1, 1, 3, 2, 4, 2, 1, 0, 2, 0, 2, 3, 4, 4, 4, 3, 0, 4, 1, 4, 2, 3, 4, 1, 4, 2, 1, 0, 0, 1, 4, 0, 4, 0, 1, 0, 1, 2, 2, 3, 4, 1, 4, 2, 1, 2, 3, 2, 2, 3, 4, 0, 3, 1, 0, 2, 0, 0, 0, 2, 0, 3, 4, 1, 2, 4, 2, 2, 1, 0, 0, 0, 0, 3, 1, 1, 4, 2, 1, 3, 2, 0, 3, 0, 0, 0, 4, 4, 1, 0, 4, 0, 3, 1, 3, 2, 1, 3, 1, 2, 3, 0, 3, 4, 2, 1, 1, 2, 0, 3, 2, 4, 2, 3, 3, 2, 2, 1, 0, 3, 0, 0, 2, 1, 3, 0, 4, 3, 4, 4, 2, 2, 4, 0, 4, 3, 4, 3, 3, 1, 2, 1, 2, 0, 0, 2, 1, 3, 2, 2, 4, 2, 0, 0, 3, 2, 0, 4, 4, 1, 1, 1, 4, 1, 3, 2, 2, 0, 3, 1, 1, 0, 4, 0, 1, 1, 1, 4, 2, 2, 2, 1, 1, 3, 4, 3, 4, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 3, 3, 4, 3, 4, 1, 1, 0, 0, 1]
pubkeycol453 = [2, 0, 0, 4, 0, 2, 2, 0, 4, 0, 0, 4, 4, 1, 1, 3, 2, 1, 1, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 2, 1, 0, 4, 3, 2, 1, 1, 2, 3, 2, 2, 2, 4, 0, 3, 4, 0, 1, 1, 4, 2, 0, 2, 2, 3, 1, 4, 3, 3, 1, 4, 2, 3, 3, 0, 2, 0, 1, 2, 2, 4, 4, 1, 3, 2, 4, 4, 1, 1, 1, 4, 4, 4, 2, 1, 1, 2, 3, 2, 3, 3, 2, 1, 3, 2, 4, 4, 0, 2, 1, 4, 1, 2, 1, 3, 3, 0, 3, 0, 4, 0, 4, 4, 4, 4, 3, 0, 2, 0, 0, 0, 1, 2, 4, 2, 4, 1, 1, 2, 3, 3, 2, 1, 3, 0, 4, 0, 4, 2, 4, 2, 3, 0, 2, 3, 3, 2, 1, 0, 2, 2, 1, 4, 0, 2, 3, 3, 2, 3, 1, 2, 2, 4, 3, 2, 3, 1, 0, 4, 3, 0, 1, 1, 1, 3, 3, 1, 1, 3, 2, 2, 1, 4, 4, 1, 4, 0, 2, 0, 2, 2, 4, 4, 2, 1, 2, 2, 4, 2, 0, 0, 3, 1, 3, 3, 1, 3, 4, 4, 4, 3, 0, 3, 3, 4, 1, 0, 3, 4, 2, 4, 1, 2, 3, 1, 2, 2, 4, 0, 0, 0, 4, 2, 4, 3, 3, 3, 4, 3, 3, 3, 1, 2, 1, 3, 2, 2, 4, 0, 3, 4, 2, 2, 2, 0, 1, 0, 2, 1, 3, 0, 0, 3, 1, 0, 1, 1, 0, 3, 3, 4, 1, 4, 0, 1, 2, 2, 0, 0, 3, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 3, 0, 0, 0, 0, 1, 3, 2, 3, 0, 1, 0, 1, 0, 0, 3, 3, 4, 2, 1, 3, 2, 3, 3, 0, 2, 3, 3, 0, 2, 0, 1, 0, 3, 4, 4, 4, 0, 4, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 4, 0, 0, 0, 2, 3, 1, 1, 3, 4, 0, 0, 3, 2, 2, 2, 4, 0, 3, 1, 2, 0, 3, 1, 3, 2, 2, 1, 1, 0, 2, 3, 0, 3, 4, 3, 2, 1, 1, 1, 4, 0, 2, 0, 2, 2, 4, 1, 4, 1, 4]
pubkeycol454 = [2, 0, 3, 4, 4, 1, 0, 0, 3, 0, 1, 3, 3, 4, 0, 3, 3, 4, 3, 4, 0, 0, 2, 0, 3, 2, 0, 1, 3, 3, 0, 3, 3, 1, 4, 4, 1, 3, 4, 2, 1, 1, 1, 1, 0, 3, 1, 3, 0, 4, 0, 4, 1, 2, 2, 3, 3, 1, 0, 3, 0, 0, 3, 3, 3, 4, 0, 4, 1, 2, 2, 0, 1, 0, 3, 1, 4, 2, 3, 4, 0, 0, 3, 0, 3, 2, 4, 4, 1, 4, 4, 4, 3, 0, 1, 2, 3, 3, 4, 3, 0, 1, 0, 1, 2, 4, 1, 1, 4, 3, 1, 4, 1, 2, 4, 0, 1, 3, 0, 1, 3, 0, 3, 2, 3, 0, 2, 3, 0, 3, 4, 2, 3, 4, 1, 0, 0, 1, 2, 2, 0, 3, 1, 2, 4, 0, 1, 2, 1, 1, 2, 3, 4, 3, 4, 4, 0, 4, 3, 1, 4, 2, 1, 3, 2, 2, 1, 3, 2, 4, 1, 2, 0, 2, 2, 3, 1, 0, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 3, 4, 3, 2, 3, 4, 4, 2, 4, 1, 3, 0, 1, 2, 4, 2, 3, 4, 0, 0, 3, 4, 4, 2, 0, 2, 4, 3, 2, 3, 3, 4, 4, 3, 4, 0, 2, 0, 3, 0, 4, 0, 3, 3, 4, 2, 0, 1, 0, 1, 2, 4, 4, 4, 2, 4, 3, 0, 0, 1, 1, 2, 1, 3, 3, 0, 3, 0, 0, 1, 3, 2, 4, 0, 1, 0, 3, 1, 1, 4, 0, 0, 3, 3, 4, 0, 1, 0, 3, 2, 3, 4, 4, 1, 2, 2, 4, 3, 2, 0, 4, 0, 1, 1, 3, 4, 3, 3, 1, 2, 1, 2, 4, 1, 0, 3, 2, 2, 3, 4, 0, 0, 4, 2, 4, 0, 0, 3, 4, 1, 2, 3, 1, 1, 2, 3, 0, 3, 3, 3, 1, 3, 0, 0, 2, 2, 2, 1, 4, 1, 1, 4, 4, 4, 4, 4, 1, 3, 1, 3, 2, 2, 1, 0, 3, 1, 2, 3, 1, 4, 2, 0, 2, 1, 0, 4, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 3, 0, 3, 2, 2, 0, 2, 4, 4, 2, 2, 1, 0, 2, 3, 2, 0, 4, 2, 4, 3, 1, 3, 4, 3, 4]
pubkeycol455 = [3, 2, 1, 0, 1, 0, 3, 2, 2, 3, 4, 2, 4, 3, 2, 4, 1, 2, 4, 0, 2, 1, 2, 2, 2, 2, 1, 4, 1, 3, 3, 1, 2, 0, 4, 1, 4, 0, 2, 0, 0, 1, 0, 4, 0, 4, 0, 4, 3, 2, 4, 4, 0, 4, 1, 4, 2, 3, 3, 2, 1, 2, 2, 2, 0, 4, 0, 2, 3, 3, 0, 2, 2, 1, 4, 4, 0, 4, 3, 1, 3, 4, 0, 1, 1, 3, 4, 1, 1, 3, 1, 0, 3, 2, 0, 2, 4, 3, 1, 2, 4, 2, 2, 0, 3, 3, 1, 3, 0, 4, 3, 4, 4, 4, 3, 2, 1, 0, 3, 4, 2, 2, 1, 3, 0, 3, 3, 1, 0, 1, 4, 3, 1, 4, 1, 0, 3, 4, 2, 3, 1, 0, 1, 1, 0, 1, 4, 1, 1, 1, 3, 4, 0, 4, 1, 0, 3, 4, 4, 2, 2, 2, 1, 4, 3, 1, 2, 4, 4, 4, 2, 3, 0, 0, 1, 0, 0, 3, 4, 0, 4, 4, 0, 1, 0, 3, 1, 0, 1, 0, 2, 4, 4, 4, 4, 3, 0, 4, 0, 1, 2, 4, 3, 3, 3, 1, 1, 0, 2, 2, 3, 1, 3, 3, 3, 0, 3, 1, 4, 0, 3, 2, 0, 4, 3, 4, 2, 2, 3, 1, 0, 1, 3, 1, 3, 0, 1, 4, 2, 2, 0, 4, 0, 2, 3, 3, 4, 1, 3, 2, 0, 4, 1, 0, 2, 1, 0, 3, 2, 1, 3, 1, 1, 0, 4, 0, 4, 4, 4, 4, 0, 2, 1, 0, 1, 4, 0, 0, 4, 3, 2, 3, 1, 2, 4, 3, 0, 1, 4, 2, 1, 3, 4, 0, 4, 3, 1, 3, 1, 1, 2, 2, 4, 4, 2, 4, 2, 4, 4, 2, 4, 0, 2, 4, 4, 0, 0, 0, 2, 3, 1, 4, 2, 3, 1, 4, 4, 4, 0, 4, 3, 2, 1, 0, 1, 4, 2, 1, 4, 1, 3, 2, 0, 3, 3, 0, 3, 0, 4, 0, 0, 0, 2, 4, 0, 4, 2, 3, 2, 1, 2, 3, 0, 2, 3, 0, 4, 2, 1, 2, 2, 3, 0, 0, 2, 3, 0, 4, 1, 1, 0, 0, 3, 4, 2, 1, 0, 2, 1, 1, 4, 3, 2, 4, 4, 0, 2, 4, 2, 2]
pubkeycol456 = [2, 1, 0, 3, 0, 4, 1, 3, 2, 1, 1, 3, 1, 2, 1, 2, 0, 2, 3, 0, 3, 4, 1, 1, 3, 2, 1, 0, 3, 1, 2, 3, 0, 1, 2, 3, 1, 1, 3, 4, 1, 3, 4, 1, 0, 4, 0, 0, 1, 2, 4, 3, 1, 1, 2, 3, 0, 1, 4, 1, 4, 3, 0, 0, 2, 4, 0, 2, 2, 3, 0, 3, 3, 4, 4, 0, 1, 4, 1, 4, 3, 2, 3, 4, 2, 2, 3, 1, 1, 4, 2, 4, 4, 3, 0, 3, 3, 1, 3, 4, 1, 1, 3, 0, 4, 0, 4, 3, 4, 2, 2, 3, 0, 2, 3, 3, 1, 0, 1, 2, 1, 3, 0, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 2, 0, 4, 1, 3, 4, 3, 3, 2, 2, 4, 1, 3, 4, 4, 2, 2, 0, 0, 1, 1, 2, 3, 3, 4, 1, 3, 3, 1, 3, 4, 2, 4, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 3, 4, 0, 4, 0, 2, 1, 4, 3, 3, 4, 4, 1, 4, 3, 4, 2, 1, 0, 0, 4, 4, 3, 1, 3, 1, 4, 3, 2, 0, 0, 2, 2, 4, 2, 3, 4, 2, 2, 4, 1, 0, 4, 4, 0, 0, 3, 1, 0, 4, 0, 1, 4, 0, 3, 0, 2, 2, 0, 4, 0, 1, 0, 3, 4, 0, 4, 3, 0, 3, 3, 1, 1, 1, 4, 3, 4, 1, 2, 4, 0, 3, 1, 1, 4, 4, 2, 3, 1, 4, 2, 1, 1, 0, 3, 0, 0, 0, 4, 4, 0, 1, 3, 3, 3, 0, 2, 3, 1, 4, 3, 3, 0, 4, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 3, 0, 2, 1, 0, 3, 3, 4, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 3, 2, 3, 0, 2, 3, 4, 3, 3, 2, 1, 4, 1, 0, 3, 0, 1, 0, 4, 3, 3, 0, 1, 2, 0, 4, 1, 4, 4, 2, 0, 3, 0, 4, 4, 2, 3, 3, 0, 3, 0, 4, 0, 4, 1, 1, 0, 4, 0, 1, 3, 3, 1, 3, 4, 0, 0, 1, 1, 0, 1, 0, 3, 1, 2, 0, 1, 1, 2, 3, 4, 1, 0, 1, 0]
pubkeycol457 = [2, 3, 3, 0, 2, 4, 4, 1, 2, 2, 2, 2, 2, 0, 2, 4, 2, 2, 4, 3, 3, 4, 3, 1, 2, 1, 4, 0, 2, 3, 2, 4, 1, 1, 0, 1, 3, 0, 2, 1, 3, 1, 2, 1, 1, 0, 2, 4, 3, 1, 3, 0, 0, 1, 2, 3, 4, 3, 0, 3, 4, 2, 1, 1, 2, 0, 2, 3, 2, 3, 1, 0, 2, 4, 3, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 4, 1, 4, 1, 0, 1, 0, 4, 2, 3, 0, 1, 3, 0, 1, 2, 1, 0, 0, 0, 2, 3, 4, 0, 3, 2, 2, 3, 1, 1, 4, 0, 1, 2, 1, 4, 2, 1, 2, 3, 2, 0, 2, 1, 2, 0, 2, 3, 4, 4, 1, 2, 2, 3, 0, 3, 4, 2, 4, 2, 1, 1, 2, 2, 3, 3, 0, 4, 4, 4, 1, 0, 3, 0, 0, 2, 3, 1, 1, 2, 4, 2, 4, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 1, 1, 2, 1, 1, 2, 3, 1, 0, 0, 3, 4, 0, 1, 2, 1, 4, 3, 3, 1, 4, 1, 2, 3, 4, 4, 4, 3, 2, 1, 0, 3, 2, 3, 2, 0, 1, 3, 2, 0, 4, 0, 3, 2, 0, 0, 2, 4, 3, 1, 3, 0, 3, 2, 4, 2, 4, 4, 2, 0, 0, 3, 2, 2, 3, 0, 0, 2, 0, 2, 3, 2, 4, 4, 2, 1, 2, 3, 3, 0, 3, 1, 1, 2, 2, 0, 0, 3, 1, 1, 0, 3, 3, 4, 3, 1, 4, 2, 3, 0, 3, 3, 4, 2, 2, 2, 1, 2, 1, 2, 3, 4, 4, 2, 2, 1, 4, 4, 2, 1, 2, 4, 4, 4, 3, 3, 1, 1, 1, 1, 2, 1, 0, 4, 1, 0, 2, 4, 0, 4, 2, 3, 4, 0, 2, 4, 4, 3, 1, 4, 2, 1, 0, 3, 1, 3, 3, 4, 0, 3, 2, 3, 2, 1, 2, 0, 2, 0, 4, 1, 2, 3, 0, 2, 3, 4, 4, 3, 3, 1, 1, 0, 1, 1, 2, 4, 2, 4, 3, 0, 3, 0, 4, 2, 1, 4, 2, 2, 1, 3, 0, 4, 0, 4, 1, 0, 2, 1, 3, 3, 3, 1, 4, 2, 2, 4, 1, 1, 2, 4, 0]
pubkeycol458 = [2, 4, 4, 0, 2, 3, 4, 4, 2, 2, 4, 0, 1, 2, 4, 3, 0, 1, 1, 4, 2, 2, 2, 2, 3, 4, 1, 3, 2, 3, 0, 4, 3, 0, 3, 1, 4, 2, 4, 0, 4, 4, 2, 1, 3, 4, 2, 3, 2, 4, 1, 2, 3, 1, 2, 1, 0, 0, 4, 2, 4, 1, 0, 1, 1, 1, 1, 3, 0, 2, 2, 0, 4, 0, 2, 1, 1, 2, 2, 4, 1, 2, 4, 3, 4, 0, 0, 2, 1, 1, 4, 1, 4, 3, 1, 0, 2, 0, 2, 4, 4, 1, 0, 1, 3, 0, 2, 4, 0, 4, 4, 2, 0, 1, 4, 4, 2, 0, 4, 1, 3, 0, 2, 4, 3, 2, 2, 0, 2, 4, 3, 0, 3, 3, 1, 2, 2, 0, 0, 4, 1, 1, 0, 0, 1, 3, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 3, 2, 1, 0, 1, 4, 4, 3, 4, 0, 2, 1, 3, 3, 4, 2, 4, 4, 0, 3, 1, 3, 1, 1, 0, 2, 1, 0, 4, 1, 3, 4, 3, 2, 2, 1, 3, 1, 2, 3, 1, 0, 1, 3, 0, 0, 2, 4, 2, 4, 4, 0, 0, 4, 3, 1, 0, 2, 2, 1, 4, 3, 0, 0, 0, 1, 4, 3, 0, 2, 4, 2, 4, 1, 4, 4, 1, 2, 4, 0, 4, 0, 3, 3, 2, 0, 0, 1, 3, 2, 2, 2, 1, 3, 2, 4, 3, 2, 0, 1, 2, 0, 0, 0, 4, 1, 2, 2, 0, 2, 1, 2, 3, 4, 1, 1, 1, 1, 1, 2, 4, 0, 1, 1, 2, 0, 3, 3, 0, 3, 1, 3, 4, 2, 2, 2, 1, 1, 2, 0, 3, 1, 0, 4, 1, 1, 0, 3, 1, 1, 1, 3, 3, 3, 2, 2, 2, 4, 1, 0, 1, 0, 0, 1, 3, 3, 0, 3, 0, 2, 4, 3, 3, 2, 0, 4, 4, 4, 2, 1, 2, 2, 0, 4, 0, 3, 1, 3, 3, 1, 1, 3, 0, 3, 1, 3, 4, 4, 1, 0, 4, 0, 0, 0, 4, 0, 1, 4, 2, 4, 3, 0, 4, 1, 2, 1, 0, 0, 2, 4, 3, 2, 2, 3, 2, 4, 2, 0, 1, 3, 4, 1, 2, 1, 4, 0, 2, 3, 3, 1, 3, 1, 2]
pubkeycol459 = [4, 3, 3, 0, 3, 1, 0, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 2, 3, 3, 2, 3, 2, 4, 0, 2, 1, 3, 0, 0, 1, 0, 4, 0, 3, 2, 4, 1, 4, 4, 4, 0, 2, 0, 0, 3, 1, 0, 1, 1, 4, 4, 3, 3, 0, 3, 4, 4, 0, 3, 3, 2, 3, 4, 2, 0, 2, 3, 0, 1, 2, 0, 4, 3, 0, 2, 4, 2, 2, 0, 0, 1, 3, 0, 4, 4, 4, 0, 0, 3, 2, 4, 3, 0, 0, 0, 1, 0, 0, 1, 3, 2, 4, 2, 2, 1, 2, 3, 2, 2, 0, 0, 0, 2, 1, 2, 3, 4, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 2, 2, 3, 2, 0, 2, 4, 0, 4, 1, 3, 0, 1, 3, 3, 2, 4, 3, 0, 1, 3, 1, 0, 0, 1, 0, 2, 2, 1, 4, 3, 0, 3, 3, 1, 4, 0, 4, 1, 1, 3, 1, 2, 3, 0, 2, 2, 2, 3, 3, 2, 4, 2, 3, 4, 3, 0, 0, 1, 4, 2, 0, 1, 3, 1, 0, 3, 2, 4, 0, 1, 4, 4, 1, 1, 3, 2, 4, 4, 0, 1, 4, 0, 1, 4, 1, 4, 0, 4, 4, 0, 0, 1, 2, 4, 0, 0, 1, 4, 0, 0, 2, 0, 3, 4, 4, 0, 0, 0, 1, 2, 4, 4, 2, 4, 3, 1, 2, 3, 0, 1, 0, 3, 0, 2, 3, 4, 0, 0, 1, 2, 3, 4, 2, 1, 2, 3, 1, 2, 0, 0, 4, 1, 4, 3, 1, 0, 4, 1, 3, 0, 2, 1, 4, 1, 2, 3, 0, 0, 3, 3, 2, 2, 1, 4, 4, 4, 2, 3, 3, 3, 4, 4, 1, 3, 4, 4, 0, 3, 4, 4, 0, 0, 4, 2, 4, 2, 4, 0, 3, 1, 3, 1, 3, 2, 3, 4, 3, 3, 3, 1, 0, 3, 3, 1, 0, 3, 3, 2, 2, 0, 3, 4, 2, 2, 0, 4, 0, 0, 1, 3, 2, 4, 0, 0, 0, 4, 3, 4, 2, 4, 1, 4, 2, 3, 2, 1, 2, 3, 4, 0, 2, 2, 0, 0, 3, 4, 2, 2, 4, 0, 3, 1, 4, 0, 0, 0, 1, 4, 0, 0, 3, 2, 1, 4, 4, 1, 0, 2, 0, 2]
pubkeycol460 = [3, 1, 3, 4, 2, 0, 4, 2, 2, 4, 1, 1, 4, 3, 2, 3, 3, 1, 3, 3, 2, 0, 2, 4, 1, 3, 4, 4, 2, 2, 2, 3, 1, 2, 3, 0, 2, 1, 2, 2, 2, 0, 1, 4, 0, 2, 1, 2, 4, 3, 4, 3, 0, 0, 0, 2, 0, 0, 0, 0, 1, 4, 4, 3, 3, 2, 1, 2, 3, 0, 1, 4, 0, 1, 4, 4, 4, 4, 2, 0, 4, 1, 3, 4, 2, 4, 0, 2, 1, 3, 2, 1, 4, 3, 4, 3, 2, 3, 1, 0, 0, 2, 2, 3, 2, 1, 4, 4, 1, 1, 2, 2, 0, 4, 4, 4, 4, 3, 0, 3, 3, 4, 4, 3, 1, 3, 1, 2, 2, 2, 4, 0, 4, 2, 0, 2, 3, 3, 3, 0, 4, 1, 4, 2, 1, 0, 2, 2, 4, 0, 4, 3, 1, 4, 4, 3, 1, 1, 3, 2, 0, 2, 0, 0, 2, 3, 0, 2, 1, 4, 3, 3, 1, 0, 4, 1, 4, 2, 3, 4, 4, 3, 2, 3, 1, 1, 1, 1, 0, 3, 4, 4, 4, 3, 4, 1, 1, 2, 0, 0, 3, 0, 0, 4, 0, 0, 1, 1, 0, 2, 4, 3, 1, 4, 2, 0, 1, 0, 2, 4, 2, 4, 3, 4, 2, 2, 0, 2, 1, 0, 2, 0, 0, 3, 4, 3, 3, 2, 2, 2, 3, 2, 1, 3, 4, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 4, 1, 2, 2, 2, 4, 2, 0, 2, 0, 1, 2, 3, 1, 3, 3, 0, 1, 2, 2, 0, 0, 0, 0, 4, 1, 0, 4, 0, 2, 3, 0, 3, 4, 3, 0, 4, 4, 2, 2, 3, 2, 1, 3, 2, 4, 3, 4, 2, 0, 2, 0, 2, 0, 1, 4, 0, 3, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 0, 4, 4, 3, 0, 0, 0, 2, 2, 4, 4, 4, 4, 1, 2, 3, 3, 2, 2, 2, 3, 3, 1, 3, 3, 3, 3, 1, 2, 0, 3, 1, 1, 2, 1, 4, 3, 2, 0, 2, 3, 0, 2, 2, 2, 4, 1, 0, 2, 2, 2, 0, 1, 2, 3, 4, 2, 1, 3, 2, 3, 2, 3, 3, 4, 1, 1, 3, 0]
pubkeycol461 = [1, 4, 3, 3, 0, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 3, 0, 3, 1, 3, 3, 2, 1, 1, 1, 4, 3, 1, 3, 0, 1, 2, 1, 1, 0, 3, 3, 3, 3, 2, 0, 3, 3, 1, 3, 2, 0, 1, 3, 4, 0, 1, 1, 0, 0, 3, 3, 2, 1, 4, 3, 2, 2, 3, 1, 2, 1, 4, 1, 1, 3, 1, 0, 4, 3, 4, 4, 0, 4, 3, 1, 1, 3, 4, 4, 0, 0, 0, 0, 3, 1, 1, 3, 2, 1, 1, 0, 1, 3, 4, 1, 4, 2, 0, 3, 0, 1, 2, 3, 2, 2, 0, 4, 4, 4, 4, 4, 0, 4, 0, 3, 4, 4, 2, 3, 1, 0, 2, 2, 3, 1, 2, 0, 2, 0, 0, 3, 1, 1, 0, 4, 1, 4, 0, 3, 4, 1, 1, 0, 4, 3, 2, 1, 1, 1, 0, 4, 2, 3, 4, 1, 1, 2, 3, 2, 1, 1, 1, 3, 0, 1, 3, 2, 2, 2, 0, 4, 1, 3, 2, 0, 1, 4, 2, 4, 0, 0, 3, 0, 2, 4, 3, 1, 0, 4, 0, 1, 4, 3, 1, 1, 0, 1, 4, 0, 3, 4, 4, 1, 3, 3, 4, 3, 2, 4, 2, 0, 4, 2, 0, 0, 3, 3, 3, 4, 3, 1, 1, 1, 2, 4, 0, 2, 4, 1, 4, 3, 3, 2, 0, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 2, 3, 0, 4, 2, 1, 2, 0, 0, 1, 4, 0, 4, 3, 4, 0, 4, 1, 0, 1, 3, 0, 3, 3, 4, 4, 0, 1, 4, 3, 0, 0, 3, 2, 1, 1, 4, 4, 4, 1, 3, 4, 0, 0, 2, 4, 0, 1, 3, 3, 4, 3, 3, 4, 2, 3, 4, 0, 0, 2, 0, 0, 1, 4, 3, 0, 4, 0, 1, 2, 0, 3, 2, 3, 4, 2, 1, 0, 2, 4, 4, 4, 2, 4, 0, 2, 0, 3, 0, 3, 0, 3, 2, 0, 2, 1, 0, 3, 1, 0, 4, 2, 2, 4, 3, 3, 0, 3, 1, 2, 2, 4, 0, 0, 2, 0, 1, 2, 4, 2, 1, 1, 0, 0, 1, 3, 3, 4, 3, 0, 1, 4, 4, 0, 0, 1, 3, 1, 1, 1, 2, 2, 3, 4, 0, 4, 4, 2, 0, 2]
pubkeycol462 = [2, 2, 0, 2, 3, 1, 4, 1, 0, 4, 4, 2, 1, 0, 4, 1, 4, 0, 4, 0, 2, 1, 4, 2, 3, 3, 0, 4, 2, 1, 2, 2, 3, 4, 3, 0, 0, 3, 2, 0, 4, 0, 4, 1, 1, 0, 3, 2, 1, 1, 4, 1, 0, 1, 2, 2, 3, 2, 0, 3, 3, 0, 1, 0, 1, 1, 1, 4, 3, 1, 3, 4, 2, 1, 0, 0, 3, 3, 1, 0, 1, 2, 3, 1, 3, 3, 3, 1, 1, 1, 4, 3, 1, 2, 4, 4, 3, 4, 1, 2, 3, 0, 2, 3, 0, 4, 0, 2, 2, 3, 3, 2, 1, 1, 0, 2, 1, 2, 3, 0, 3, 3, 3, 2, 3, 4, 4, 0, 3, 2, 4, 4, 0, 3, 0, 2, 4, 2, 2, 3, 0, 2, 1, 0, 1, 2, 3, 4, 1, 0, 4, 1, 3, 2, 0, 1, 2, 3, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 3, 0, 4, 0, 1, 1, 3, 0, 1, 0, 2, 1, 1, 4, 3, 3, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 3, 4, 0, 4, 4, 1, 2, 3, 4, 4, 2, 0, 1, 2, 3, 2, 2, 2, 3, 0, 0, 0, 4, 3, 3, 3, 4, 1, 1, 2, 1, 3, 2, 2, 4, 3, 4, 4, 2, 1, 1, 2, 3, 4, 1, 1, 0, 0, 4, 4, 2, 1, 2, 2, 3, 1, 0, 2, 4, 1, 3, 0, 4, 0, 1, 1, 2, 3, 1, 2, 2, 3, 1, 4, 3, 0, 4, 1, 1, 0, 0, 4, 1, 4, 2, 2, 4, 1, 2, 4, 0, 3, 1, 3, 4, 2, 3, 1, 3, 3, 4, 4, 0, 4, 2, 3, 0, 4, 1, 4, 1, 1, 4, 0, 4, 1, 2, 3, 1, 3, 1, 3, 0, 1, 0, 0, 2, 1, 1, 0, 1, 4, 4, 2, 2, 1, 1, 3, 1, 1, 2, 2, 2, 3, 0, 0, 3, 3, 1, 2, 2, 0, 2, 0, 3, 3, 1, 4, 4, 3, 4, 2, 3, 0, 4, 4, 2, 1, 0, 0, 0, 2, 0, 3, 4, 3, 3, 1, 0, 2, 3, 2, 2, 1, 3, 0, 2, 1, 2, 3, 1, 2, 4, 3, 4, 2, 2, 2, 2, 2, 0, 3, 0, 3, 2, 0]
pubkeycol463 = [4, 3, 1, 4, 4, 4, 0, 3, 4, 2, 3, 1, 0, 1, 0, 3, 1, 4, 2, 1, 0, 4, 1, 0, 1, 4, 2, 3, 3, 0, 4, 3, 4, 4, 2, 3, 4, 3, 2, 0, 4, 0, 2, 4, 0, 1, 4, 0, 2, 3, 2, 0, 2, 4, 4, 3, 0, 1, 1, 3, 0, 1, 4, 1, 0, 3, 3, 1, 0, 3, 4, 0, 0, 2, 3, 3, 1, 2, 3, 2, 3, 4, 4, 3, 1, 3, 4, 3, 1, 3, 3, 3, 1, 2, 3, 0, 2, 1, 0, 1, 3, 0, 2, 1, 2, 4, 2, 3, 3, 3, 1, 3, 2, 1, 0, 3, 3, 2, 0, 2, 1, 0, 3, 0, 0, 2, 2, 0, 3, 0, 2, 1, 0, 1, 0, 4, 2, 4, 4, 2, 3, 1, 1, 2, 3, 0, 0, 2, 0, 2, 2, 2, 0, 0, 3, 2, 0, 4, 2, 1, 4, 3, 1, 4, 0, 3, 1, 4, 1, 4, 2, 2, 2, 1, 4, 3, 2, 4, 2, 3, 1, 2, 4, 2, 3, 4, 3, 4, 4, 0, 3, 1, 3, 3, 4, 0, 3, 0, 0, 1, 3, 4, 2, 0, 3, 1, 2, 0, 1, 0, 0, 0, 2, 3, 4, 0, 0, 4, 3, 2, 3, 0, 3, 1, 0, 1, 2, 4, 2, 3, 3, 3, 2, 0, 0, 3, 4, 1, 3, 1, 4, 2, 3, 0, 4, 1, 0, 4, 4, 4, 1, 0, 2, 3, 2, 3, 3, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 3, 3, 4, 0, 1, 2, 3, 2, 1, 2, 3, 0, 2, 4, 3, 4, 2, 1, 3, 4, 2, 2, 1, 4, 0, 0, 2, 0, 1, 1, 2, 4, 2, 2, 1, 3, 4, 2, 2, 0, 4, 1, 0, 1, 4, 1, 0, 3, 2, 1, 2, 0, 3, 1, 2, 0, 1, 2, 4, 1, 4, 2, 0, 1, 4, 1, 2, 0, 1, 2, 3, 0, 0, 3, 4, 2, 2, 1, 0, 2, 4, 4, 1, 1, 3, 2, 3, 3, 1, 1, 1, 3, 2, 1, 0, 4, 4, 3, 4, 1, 4, 4, 1, 1, 4, 3, 3, 2, 2, 3, 2, 4, 2, 2, 0, 2, 2, 3, 3, 1, 0, 2, 2, 2, 1, 4, 0, 0, 0, 0, 3, 2, 1]
pubkeycol464 = [2, 0, 1, 4, 3, 3, 0, 3, 1, 1, 2, 4, 4, 2, 0, 0, 2, 3, 4, 2, 0, 4, 4, 2, 1, 0, 1, 4, 2, 1, 4, 4, 0, 3, 0, 3, 4, 0, 4, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 3, 2, 1, 0, 0, 1, 0, 3, 1, 3, 0, 3, 2, 0, 1, 0, 1, 2, 4, 1, 4, 1, 3, 2, 2, 4, 1, 2, 1, 2, 3, 2, 4, 4, 3, 0, 2, 2, 0, 2, 4, 1, 3, 2, 3, 4, 2, 4, 4, 3, 3, 1, 4, 2, 4, 0, 1, 3, 1, 3, 4, 0, 4, 0, 2, 2, 4, 3, 1, 4, 2, 3, 4, 1, 0, 3, 0, 3, 0, 4, 4, 2, 0, 4, 4, 2, 3, 1, 4, 2, 1, 0, 1, 1, 1, 2, 4, 3, 0, 0, 0, 1, 4, 2, 2, 4, 1, 2, 3, 1, 4, 0, 1, 3, 3, 4, 0, 1, 4, 4, 1, 3, 3, 4, 2, 2, 2, 3, 2, 0, 1, 3, 2, 2, 4, 0, 1, 1, 0, 1, 1, 2, 0, 4, 1, 3, 0, 2, 2, 1, 3, 2, 1, 1, 4, 1, 3, 4, 4, 2, 4, 2, 2, 1, 2, 3, 3, 2, 0, 2, 0, 0, 2, 3, 2, 2, 1, 1, 4, 0, 3, 4, 4, 4, 4, 3, 3, 4, 0, 3, 0, 0, 0, 2, 1, 1, 4, 4, 2, 2, 0, 2, 4, 2, 0, 2, 0, 1, 0, 3, 2, 4, 3, 0, 4, 3, 1, 2, 4, 0, 2, 0, 2, 3, 3, 3, 4, 1, 4, 1, 2, 0, 4, 0, 0, 4, 2, 0, 0, 0, 0, 4, 3, 1, 4, 4, 1, 1, 3, 1, 3, 4, 4, 2, 1, 4, 1, 0, 1, 3, 4, 0, 2, 0, 0, 1, 3, 1, 4, 2, 3, 3, 4, 1, 1, 3, 1, 3, 1, 2, 4, 0, 3, 0, 1, 1, 2, 1, 2, 3, 0, 1, 4, 1, 3, 4, 4, 1, 0, 4, 0, 1, 1, 4, 0, 2, 1, 0, 0, 2, 0, 1, 2, 4, 4, 4, 2, 3, 3, 1, 1, 0, 3, 4, 4, 3, 2, 2, 1, 0, 0, 0, 3, 0, 3, 0, 0, 4, 3, 1, 0, 3, 2, 3, 1, 4, 3, 1]
pubkeycol465 = [0, 2, 0, 0, 2, 1, 3, 0, 2, 4, 3, 3, 4, 3, 2, 1, 2, 2, 3, 0, 0, 2, 1, 2, 1, 2, 1, 4, 3, 0, 4, 2, 2, 4, 1, 0, 4, 1, 4, 4, 4, 4, 4, 3, 0, 1, 3, 0, 3, 0, 3, 2, 1, 0, 3, 0, 3, 3, 4, 2, 4, 0, 1, 3, 2, 4, 4, 1, 3, 2, 1, 3, 2, 1, 0, 4, 3, 1, 0, 4, 1, 2, 4, 4, 1, 3, 3, 1, 3, 2, 4, 0, 0, 0, 0, 1, 2, 3, 2, 4, 0, 0, 1, 4, 3, 0, 0, 0, 0, 3, 3, 2, 4, 0, 3, 2, 3, 3, 4, 2, 3, 4, 2, 1, 0, 2, 2, 2, 4, 3, 4, 3, 4, 2, 0, 3, 4, 0, 0, 1, 4, 2, 1, 3, 2, 2, 1, 3, 4, 0, 3, 3, 3, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 3, 1, 0, 3, 0, 2, 1, 2, 0, 4, 2, 4, 3, 0, 4, 0, 1, 1, 0, 4, 3, 3, 0, 0, 0, 4, 2, 2, 2, 3, 4, 2, 3, 3, 0, 0, 2, 1, 4, 1, 3, 1, 3, 0, 3, 4, 4, 3, 4, 3, 1, 0, 2, 1, 3, 0, 1, 3, 0, 2, 0, 4, 4, 3, 0, 4, 2, 0, 4, 0, 3, 4, 1, 3, 1, 0, 1, 4, 3, 0, 4, 0, 0, 1, 1, 4, 0, 4, 4, 4, 4, 0, 2, 4, 4, 0, 4, 2, 4, 3, 4, 1, 1, 1, 1, 1, 2, 0, 3, 0, 1, 4, 4, 2, 2, 2, 0, 1, 4, 0, 2, 4, 2, 3, 0, 3, 4, 0, 4, 3, 3, 4, 1, 4, 3, 3, 4, 2, 0, 3, 2, 1, 4, 4, 0, 4, 3, 2, 4, 2, 0, 3, 1, 4, 4, 3, 4, 2, 0, 0, 1, 0, 2, 2, 0, 4, 2, 1, 0, 0, 4, 4, 3, 3, 0, 2, 4, 2, 1, 2, 1, 2, 4, 0, 0, 4, 2, 3, 2, 3, 2, 0, 4, 1, 2, 3, 0, 1, 1, 2, 4, 2, 2, 1, 2, 2, 4, 4, 2, 3, 4, 1, 0, 3, 1, 4, 0, 2, 0, 3, 4, 1, 0, 0, 2, 2]
pubkeycol466 = [4, 0, 0, 3, 2, 4, 2, 2, 4, 4, 3, 3, 0, 1, 1, 4, 2, 2, 4, 1, 3, 0, 3, 4, 0, 0, 0, 3, 0, 3, 2, 4, 2, 1, 3, 1, 0, 3, 3, 2, 2, 2, 0, 4, 0, 0, 4, 4, 1, 2, 3, 4, 4, 3, 3, 4, 4, 4, 2, 1, 2, 4, 1, 0, 2, 3, 4, 2, 3, 1, 3, 2, 0, 4, 0, 3, 4, 2, 0, 3, 2, 1, 2, 2, 0, 0, 3, 2, 0, 2, 4, 2, 4, 1, 2, 1, 2, 3, 2, 3, 0, 0, 3, 0, 3, 1, 0, 0, 3, 2, 4, 4, 3, 1, 0, 0, 4, 0, 3, 1, 3, 0, 2, 2, 0, 1, 3, 4, 4, 4, 4, 4, 2, 2, 2, 4, 3, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 4, 4, 4, 3, 2, 1, 2, 3, 4, 4, 1, 0, 4, 3, 3, 1, 2, 4, 3, 2, 0, 3, 2, 4, 2, 1, 3, 3, 4, 4, 3, 2, 1, 3, 2, 4, 3, 3, 1, 2, 1, 0, 3, 0, 0, 2, 1, 2, 3, 1, 4, 2, 2, 3, 0, 1, 2, 2, 0, 2, 1, 4, 2, 3, 1, 2, 2, 2, 4, 4, 4, 2, 4, 3, 3, 1, 4, 1, 4, 1, 2, 0, 4, 4, 3, 3, 0, 2, 4, 4, 2, 0, 3, 4, 1, 0, 4, 1, 2, 2, 0, 1, 4, 1, 0, 0, 3, 4, 2, 1, 3, 0, 4, 0, 3, 2, 3, 2, 2, 2, 3, 4, 3, 4, 4, 0, 0, 0, 3, 0, 4, 4, 0, 3, 0, 0, 2, 2, 1, 0, 4, 3, 1, 3, 2, 0, 1, 0, 0, 2, 2, 3, 2, 0, 1, 0, 3, 3, 2, 4, 3, 4, 1, 0, 4, 3, 4, 1, 4, 3, 2, 2, 0, 0, 3, 2, 1, 0, 0, 2, 1, 0, 4, 1, 1, 3, 3, 0, 1, 2, 3, 2, 1, 1, 1, 0, 0, 4, 1, 4, 4, 3, 1, 1, 3, 0, 1, 2, 3, 3, 3, 4, 2, 1, 1, 4, 4, 0, 3, 4, 3, 4, 4, 3, 2, 1, 4, 3, 3, 0, 0, 2, 3, 4, 3, 1, 3, 3, 3, 1, 1, 0, 3, 2, 2, 2, 1, 1, 2, 4, 0]
pubkeycol467 = [2, 4, 2, 2, 0, 2, 0, 2, 1, 3, 0, 4, 0, 2, 3, 3, 0, 4, 1, 2, 1, 4, 2, 0, 3, 4, 3, 1, 1, 1, 3, 3, 3, 0, 3, 1, 3, 1, 0, 0, 1, 3, 3, 0, 3, 1, 3, 1, 2, 3, 1, 1, 1, 4, 3, 3, 3, 0, 2, 0, 1, 1, 1, 3, 2, 4, 4, 4, 4, 0, 3, 1, 2, 1, 3, 4, 0, 2, 1, 2, 1, 1, 0, 3, 1, 1, 4, 1, 4, 0, 0, 4, 2, 0, 2, 1, 0, 3, 4, 3, 4, 3, 0, 1, 3, 3, 4, 2, 4, 3, 2, 0, 2, 2, 1, 2, 1, 1, 4, 4, 4, 0, 4, 1, 1, 3, 4, 1, 4, 2, 2, 0, 2, 2, 3, 3, 4, 3, 0, 1, 2, 2, 3, 4, 0, 4, 3, 4, 1, 0, 3, 1, 0, 1, 4, 0, 2, 2, 1, 3, 2, 4, 2, 1, 4, 2, 0, 1, 4, 1, 3, 0, 1, 0, 4, 0, 2, 1, 4, 3, 4, 3, 3, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 3, 4, 2, 3, 1, 3, 1, 4, 1, 2, 1, 0, 3, 2, 3, 0, 1, 1, 3, 4, 2, 2, 1, 4, 3, 1, 2, 2, 2, 3, 0, 4, 4, 3, 1, 4, 0, 0, 1, 2, 4, 4, 0, 3, 1, 3, 2, 2, 3, 1, 2, 1, 0, 1, 0, 3, 0, 0, 2, 3, 3, 3, 1, 4, 1, 2, 3, 2, 3, 2, 1, 4, 4, 1, 1, 3, 4, 2, 4, 1, 1, 1, 3, 2, 4, 3, 4, 3, 0, 1, 3, 1, 1, 0, 1, 4, 0, 3, 1, 0, 3, 2, 3, 1, 3, 1, 3, 2, 4, 4, 1, 4, 2, 0, 4, 3, 3, 2, 2, 4, 4, 4, 1, 2, 0, 2, 0, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 0, 0, 2, 3, 4, 0, 0, 4, 1, 2, 3, 3, 1, 0, 2, 3, 3, 3, 0, 0, 3, 4, 0, 2, 2, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 4, 3, 3, 1, 4, 4, 3, 2, 2, 0, 3, 3, 1, 2, 0, 0, 3, 4, 0, 4, 2, 0, 2, 4, 0, 0, 1, 1, 3, 3, 0, 4, 4, 2]
pubkeycol468 = [0, 1, 0, 2, 4, 3, 2, 4, 2, 0, 2, 3, 0, 0, 1, 0, 2, 4, 0, 0, 3, 2, 3, 2, 1, 0, 4, 1, 3, 3, 0, 3, 0, 3, 3, 3, 3, 2, 3, 1, 4, 2, 4, 0, 2, 3, 2, 3, 3, 3, 1, 4, 2, 2, 0, 0, 1, 0, 3, 4, 1, 1, 0, 2, 0, 4, 4, 2, 2, 0, 1, 0, 3, 4, 0, 0, 1, 0, 2, 3, 4, 0, 2, 0, 4, 1, 3, 1, 0, 1, 3, 4, 1, 3, 1, 2, 3, 2, 3, 1, 4, 1, 2, 0, 2, 3, 4, 1, 4, 3, 0, 1, 0, 0, 3, 3, 2, 4, 2, 1, 3, 2, 3, 3, 4, 3, 3, 1, 1, 3, 3, 4, 3, 1, 0, 1, 2, 2, 4, 1, 4, 1, 4, 2, 4, 2, 4, 4, 2, 4, 1, 0, 2, 1, 4, 2, 0, 3, 0, 0, 4, 4, 2, 2, 4, 1, 0, 2, 2, 3, 4, 2, 1, 0, 4, 1, 2, 2, 4, 3, 3, 4, 4, 3, 3, 3, 2, 4, 0, 4, 3, 4, 0, 4, 4, 1, 3, 1, 4, 2, 1, 0, 1, 1, 4, 1, 3, 3, 2, 4, 1, 1, 1, 2, 0, 3, 4, 3, 1, 1, 3, 3, 4, 0, 3, 4, 4, 4, 1, 1, 4, 1, 3, 2, 4, 1, 3, 1, 3, 0, 0, 1, 4, 4, 4, 4, 0, 3, 4, 1, 2, 0, 1, 0, 1, 4, 0, 1, 1, 3, 3, 4, 3, 3, 4, 0, 4, 2, 4, 1, 1, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 1, 3, 0, 2, 1, 4, 1, 3, 1, 3, 1, 1, 0, 3, 4, 4, 3, 2, 4, 0, 3, 2, 1, 3, 4, 3, 4, 4, 3, 1, 0, 0, 2, 4, 3, 0, 0, 1, 3, 1, 2, 0, 1, 2, 3, 0, 2, 3, 0, 1, 3, 3, 3, 2, 0, 4, 4, 1, 2, 0, 4, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 0, 0, 3, 1, 1, 2, 2, 1, 2, 0, 1, 4, 4, 3, 3, 1, 3, 4, 2, 0, 2, 1, 1, 2, 0, 2, 3, 1, 3, 1, 3, 2, 4, 2, 2, 1]
pubkeycol469 = [3, 2, 2, 1, 1, 2, 0, 2, 1, 3, 4, 2, 1, 2, 3, 4, 4, 3, 3, 1, 3, 3, 4, 1, 3, 1, 2, 3, 4, 4, 1, 3, 1, 3, 4, 2, 4, 4, 4, 3, 3, 2, 0, 1, 2, 0, 1, 4, 3, 4, 1, 4, 0, 4, 2, 1, 2, 3, 3, 3, 4, 4, 1, 1, 4, 1, 0, 0, 1, 0, 3, 2, 1, 2, 1, 0, 4, 1, 3, 2, 3, 1, 2, 0, 0, 4, 2, 4, 4, 1, 0, 0, 4, 1, 3, 1, 2, 3, 1, 1, 3, 0, 4, 0, 0, 2, 0, 1, 1, 1, 1, 3, 2, 0, 2, 2, 3, 1, 2, 3, 0, 4, 1, 1, 2, 2, 1, 4, 2, 4, 3, 2, 3, 2, 2, 1, 1, 1, 3, 1, 1, 3, 2, 4, 3, 3, 4, 1, 0, 2, 0, 0, 4, 2, 1, 4, 4, 4, 2, 0, 2, 3, 3, 4, 3, 0, 1, 0, 0, 3, 2, 0, 1, 3, 3, 1, 2, 1, 3, 0, 1, 2, 4, 1, 3, 0, 2, 2, 3, 1, 0, 0, 3, 0, 3, 1, 3, 1, 0, 0, 1, 4, 0, 2, 1, 2, 3, 2, 0, 3, 0, 3, 3, 3, 0, 3, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 4, 3, 0, 2, 4, 4, 2, 4, 4, 3, 4, 1, 4, 1, 1, 4, 0, 4, 3, 1, 4, 2, 1, 0, 2, 3, 2, 1, 3, 4, 2, 4, 4, 1, 3, 4, 2, 3, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 1, 2, 1, 4, 3, 2, 2, 4, 1, 0, 3, 3, 1, 4, 3, 3, 4, 4, 4, 3, 1, 4, 1, 4, 0, 0, 4, 4, 2, 0, 1, 4, 1, 2, 2, 4, 4, 1, 4, 4, 2, 4, 4, 0, 2, 1, 1, 4, 4, 3, 0, 1, 0, 1, 3, 4, 2, 2, 1, 0, 0, 4, 4, 2, 2, 1, 0, 4, 0, 2, 3, 1, 0, 3, 1, 2, 3, 2, 2, 0, 4, 1, 4, 2, 2, 0, 0, 1, 4, 0, 2, 0, 1, 4, 4, 2, 2, 1, 0, 3, 0, 0, 3, 2, 2, 3, 4, 0, 3, 3, 1, 1, 0, 0, 2, 1, 1, 0, 3, 2, 2, 1, 3, 0, 2, 0]
pubkeycol470 = [0, 4, 0, 1, 1, 0, 3, 0, 4, 1, 3, 1, 1, 2, 2, 1, 4, 3, 4, 1, 2, 0, 0, 3, 2, 0, 0, 1, 2, 0, 1, 3, 0, 0, 1, 4, 0, 2, 0, 2, 3, 1, 3, 0, 4, 2, 1, 1, 0, 3, 0, 4, 1, 2, 0, 1, 1, 4, 0, 0, 2, 2, 0, 1, 3, 0, 3, 0, 3, 1, 4, 2, 2, 0, 0, 0, 2, 0, 3, 3, 4, 0, 1, 2, 3, 0, 4, 2, 0, 0, 0, 1, 2, 1, 3, 4, 1, 1, 2, 4, 3, 4, 1, 4, 1, 2, 2, 1, 2, 1, 3, 4, 4, 1, 2, 3, 0, 3, 1, 1, 3, 4, 1, 3, 0, 1, 0, 1, 4, 1, 4, 4, 2, 4, 0, 3, 1, 1, 4, 4, 4, 2, 1, 1, 2, 4, 2, 3, 4, 1, 2, 0, 3, 2, 1, 1, 3, 1, 0, 4, 2, 2, 2, 0, 1, 2, 3, 4, 4, 1, 2, 0, 1, 3, 4, 4, 1, 4, 3, 1, 2, 3, 1, 3, 4, 2, 4, 4, 4, 1, 4, 0, 3, 2, 3, 4, 0, 1, 0, 4, 0, 3, 3, 3, 3, 4, 0, 0, 0, 3, 3, 0, 4, 3, 0, 4, 3, 2, 3, 3, 1, 0, 1, 0, 1, 2, 4, 3, 3, 4, 4, 3, 1, 4, 1, 4, 1, 1, 1, 3, 4, 4, 4, 4, 0, 2, 2, 4, 2, 2, 0, 2, 2, 0, 1, 2, 3, 3, 4, 1, 0, 0, 4, 1, 4, 4, 0, 0, 4, 4, 0, 3, 0, 4, 3, 4, 0, 4, 2, 2, 3, 2, 2, 0, 3, 0, 3, 2, 2, 2, 0, 0, 4, 2, 3, 2, 0, 2, 3, 2, 2, 4, 4, 2, 1, 3, 1, 3, 0, 4, 0, 3, 1, 4, 0, 1, 2, 2, 4, 0, 0, 3, 1, 3, 2, 4, 4, 0, 1, 2, 3, 1, 4, 0, 1, 4, 1, 0, 3, 3, 0, 3, 3, 1, 0, 0, 1, 0, 1, 0, 1, 4, 0, 2, 3, 4, 3, 3, 1, 1, 4, 1, 3, 4, 4, 4, 1, 0, 3, 3, 3, 2, 4, 1, 2, 2, 2, 2, 3, 1, 4, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 3, 1, 4, 1, 2, 4, 4, 1, 0]
pubkeycol471 = [3, 2, 4, 2, 1, 1, 1, 4, 1, 2, 4, 2, 3, 4, 0, 4, 3, 4, 4, 4, 1, 1, 0, 3, 1, 0, 0, 4, 1, 3, 4, 2, 1, 4, 4, 4, 0, 2, 1, 1, 0, 0, 2, 1, 2, 3, 1, 1, 0, 3, 0, 0, 2, 2, 3, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 4, 4, 2, 0, 0, 3, 4, 1, 3, 4, 2, 0, 1, 1, 3, 3, 4, 3, 0, 1, 0, 3, 0, 3, 0, 2, 0, 2, 4, 3, 0, 3, 4, 4, 4, 0, 4, 0, 4, 0, 1, 3, 3, 0, 0, 0, 0, 3, 4, 1, 4, 1, 0, 0, 1, 2, 2, 2, 0, 1, 3, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 4, 3, 2, 0, 3, 3, 4, 2, 2, 3, 1, 4, 2, 1, 2, 3, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 1, 4, 3, 0, 3, 3, 2, 3, 2, 4, 3, 0, 1, 2, 0, 2, 4, 0, 0, 2, 2, 2, 3, 3, 2, 1, 4, 4, 0, 1, 1, 2, 1, 0, 4, 3, 4, 2, 4, 0, 2, 2, 3, 0, 0, 4, 4, 4, 0, 2, 2, 4, 3, 0, 3, 3, 0, 1, 4, 4, 1, 3, 0, 2, 2, 0, 3, 0, 0, 2, 1, 2, 3, 0, 4, 0, 2, 2, 3, 0, 2, 4, 3, 2, 4, 3, 2, 2, 0, 0, 3, 0, 0, 3, 4, 3, 2, 3, 3, 3, 1, 1, 3, 2, 1, 0, 3, 4, 1, 1, 2, 1, 2, 1, 3, 3, 4, 3, 3, 0, 3, 4, 4, 0, 0, 3, 4, 3, 4, 0, 3, 0, 0, 3, 0, 0, 2, 4, 0, 3, 4, 2, 3, 2, 3, 4, 4, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 0, 3, 1, 2, 4, 0, 1, 2, 0, 0, 4, 3, 2, 0, 4, 2, 0, 0, 4, 4, 0, 2, 3, 2, 4, 0, 1, 3, 3, 4, 1, 3, 1, 3, 0, 3, 1, 3, 4, 4, 2, 2, 3, 3, 4, 4, 1, 2, 2, 1, 1, 4, 2, 1, 3, 2, 2, 0, 0, 1, 1, 4, 2, 0, 1, 3, 1, 1, 4, 3]
pubkeycol472 = [3, 3, 3, 3, 2, 2, 1, 4, 4, 0, 4, 3, 4, 1, 0, 4, 1, 2, 0, 2, 1, 2, 1, 1, 2, 3, 2, 3, 1, 3, 2, 0, 0, 0, 3, 3, 3, 1, 2, 4, 1, 0, 4, 3, 0, 1, 4, 1, 1, 1, 4, 3, 2, 4, 1, 0, 0, 4, 1, 0, 4, 2, 4, 4, 4, 1, 2, 2, 0, 2, 0, 2, 0, 4, 1, 0, 1, 3, 4, 1, 3, 0, 3, 3, 4, 0, 4, 4, 4, 1, 1, 2, 1, 3, 0, 0, 0, 2, 4, 0, 4, 1, 1, 0, 1, 1, 3, 2, 1, 2, 4, 2, 3, 3, 2, 4, 3, 3, 3, 4, 2, 1, 1, 3, 1, 3, 4, 4, 2, 2, 0, 4, 2, 4, 4, 1, 2, 4, 2, 0, 3, 1, 3, 1, 4, 3, 2, 4, 4, 1, 4, 2, 1, 3, 1, 0, 0, 0, 1, 3, 2, 1, 1, 2, 1, 4, 1, 4, 3, 0, 2, 4, 4, 0, 2, 3, 2, 3, 4, 4, 3, 4, 3, 2, 3, 2, 4, 1, 2, 2, 2, 3, 1, 1, 3, 1, 2, 4, 0, 0, 4, 1, 0, 2, 0, 1, 1, 1, 3, 3, 2, 1, 0, 0, 1, 2, 2, 3, 4, 4, 2, 3, 3, 4, 3, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 3, 3, 4, 0, 2, 4, 2, 3, 2, 0, 0, 1, 2, 1, 3, 4, 2, 4, 2, 1, 1, 2, 4, 3, 0, 0, 0, 4, 1, 2, 1, 1, 2, 4, 1, 4, 2, 1, 2, 4, 4, 4, 4, 1, 2, 3, 2, 4, 4, 0, 1, 4, 3, 4, 2, 3, 4, 1, 4, 4, 1, 0, 4, 3, 4, 1, 3, 4, 3, 0, 2, 2, 0, 4, 1, 2, 4, 2, 4, 1, 0, 4, 4, 3, 4, 4, 2, 3, 0, 1, 0, 2, 4, 0, 3, 0, 4, 0, 0, 2, 4, 0, 1, 3, 4, 1, 2, 4, 3, 0, 3, 0, 4, 3, 4, 2, 4, 2, 3, 2, 2, 3, 1, 1, 0, 0, 4, 4, 3, 1, 2, 0, 4, 1, 2, 1, 4, 1, 2, 0, 3, 1, 3, 0, 1, 4, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 4, 3, 0, 2, 2, 1, 3]
pubkeycol473 = [2, 4, 4, 1, 1, 3, 1, 0, 3, 0, 1, 3, 0, 3, 1, 4, 3, 3, 4, 2, 4, 1, 3, 2, 1, 4, 0, 3, 0, 1, 1, 3, 4, 1, 0, 2, 3, 2, 4, 4, 1, 4, 0, 1, 0, 4, 4, 0, 0, 2, 1, 0, 3, 4, 2, 1, 0, 1, 3, 1, 2, 0, 0, 1, 2, 3, 1, 0, 1, 0, 2, 4, 0, 0, 0, 2, 3, 2, 2, 0, 0, 2, 4, 3, 4, 2, 1, 2, 2, 3, 0, 0, 4, 0, 2, 3, 3, 4, 1, 3, 2, 0, 4, 3, 0, 3, 2, 0, 3, 0, 3, 1, 4, 2, 4, 0, 4, 1, 2, 4, 1, 2, 4, 3, 0, 4, 4, 2, 1, 2, 2, 1, 1, 4, 4, 2, 4, 0, 1, 0, 4, 2, 2, 1, 2, 3, 0, 2, 2, 3, 1, 2, 3, 1, 4, 2, 4, 1, 1, 2, 4, 3, 3, 0, 1, 3, 3, 1, 1, 4, 0, 1, 4, 1, 0, 2, 1, 2, 2, 2, 4, 0, 2, 1, 1, 2, 4, 0, 2, 0, 0, 2, 2, 4, 1, 0, 4, 4, 1, 0, 2, 4, 3, 4, 4, 4, 0, 4, 2, 2, 0, 4, 4, 4, 2, 0, 1, 4, 2, 4, 3, 2, 0, 2, 3, 3, 4, 0, 2, 3, 0, 4, 2, 2, 1, 3, 3, 4, 0, 3, 3, 1, 2, 1, 1, 2, 3, 0, 1, 2, 0, 0, 2, 4, 3, 0, 3, 2, 0, 4, 4, 0, 1, 0, 3, 4, 4, 0, 2, 2, 3, 2, 2, 4, 3, 2, 2, 3, 4, 0, 1, 4, 0, 4, 1, 3, 1, 1, 1, 3, 2, 2, 3, 3, 3, 4, 2, 3, 2, 4, 3, 2, 4, 0, 3, 1, 1, 2, 3, 2, 1, 2, 4, 3, 3, 4, 2, 1, 0, 1, 3, 4, 2, 1, 1, 3, 4, 0, 4, 0, 4, 3, 1, 2, 0, 2, 1, 3, 0, 4, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 3, 1, 4, 0, 4, 4, 0, 0, 1, 0, 0, 2, 4, 0, 2, 4, 1, 1, 2, 0, 1, 3, 4, 2, 0, 1, 3, 4, 1, 3, 4, 3, 1, 4, 1, 4, 3, 1, 1, 2, 1, 2, 4, 3, 3, 4, 2, 1, 2, 0]
pubkeycol474 = [2, 1, 2, 0, 2, 3, 3, 3, 2, 4, 0, 4, 1, 4, 0, 4, 0, 2, 3, 0, 4, 1, 3, 0, 1, 4, 3, 2, 4, 0, 4, 4, 0, 1, 2, 0, 3, 4, 4, 3, 0, 3, 2, 2, 3, 0, 1, 3, 0, 4, 4, 3, 2, 0, 0, 3, 3, 3, 3, 0, 2, 3, 3, 1, 1, 1, 4, 3, 0, 0, 0, 2, 0, 1, 1, 0, 4, 4, 4, 0, 2, 1, 4, 2, 0, 0, 2, 2, 1, 0, 3, 0, 2, 1, 2, 2, 1, 2, 0, 4, 4, 0, 2, 2, 1, 2, 3, 1, 4, 2, 1, 2, 1, 1, 1, 4, 2, 4, 0, 3, 4, 1, 1, 0, 0, 1, 2, 1, 4, 4, 2, 0, 2, 2, 1, 2, 4, 1, 0, 0, 0, 2, 3, 2, 0, 2, 2, 1, 4, 4, 2, 1, 4, 4, 2, 0, 1, 0, 4, 1, 2, 2, 4, 1, 0, 0, 1, 4, 3, 4, 1, 1, 2, 3, 4, 2, 1, 1, 3, 2, 0, 3, 1, 3, 0, 4, 2, 0, 4, 4, 1, 4, 4, 4, 4, 0, 0, 0, 2, 1, 0, 1, 3, 1, 3, 4, 3, 2, 0, 2, 4, 2, 1, 2, 1, 1, 0, 1, 0, 4, 4, 0, 1, 0, 4, 3, 0, 1, 3, 1, 0, 1, 2, 3, 2, 2, 1, 1, 0, 0, 4, 2, 0, 2, 1, 1, 3, 2, 2, 0, 0, 4, 3, 3, 4, 1, 0, 4, 2, 4, 0, 4, 2, 2, 2, 3, 4, 4, 3, 3, 1, 3, 3, 2, 4, 2, 1, 2, 2, 0, 1, 4, 1, 1, 1, 2, 0, 0, 4, 4, 0, 3, 2, 3, 1, 1, 2, 2, 1, 3, 3, 1, 2, 1, 0, 1, 0, 1, 4, 0, 3, 4, 4, 1, 3, 3, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 3, 2, 3, 4, 2, 4, 1, 2, 0, 2, 4, 0, 4, 0, 3, 2, 2, 1, 0, 2, 0, 1, 4, 0, 1, 2, 2, 3, 1, 1, 2, 0, 3, 2, 0, 2, 3, 0, 4, 3, 0, 4, 1, 4, 0, 0, 4, 0, 2, 1, 4, 3, 4, 4, 2, 0, 3, 1, 4, 2, 3, 2, 4, 0, 4, 2, 1, 1, 0, 4, 2, 2, 2]
pubkeycol475 = [0, 4, 4, 4, 4, 3, 4, 1, 0, 2, 1, 1, 0, 0, 1, 3, 4, 1, 2, 4, 1, 1, 2, 3, 4, 2, 0, 0, 1, 2, 2, 1, 4, 4, 2, 0, 3, 2, 2, 0, 0, 4, 3, 3, 4, 4, 4, 3, 1, 4, 0, 4, 2, 2, 0, 1, 3, 1, 1, 4, 3, 2, 2, 4, 0, 4, 4, 2, 2, 2, 2, 3, 0, 0, 3, 0, 4, 1, 3, 3, 4, 2, 0, 4, 3, 2, 1, 4, 0, 3, 0, 2, 2, 4, 0, 0, 4, 4, 0, 2, 1, 4, 2, 2, 2, 3, 2, 4, 3, 3, 2, 4, 1, 3, 2, 0, 2, 0, 1, 1, 3, 3, 3, 4, 2, 1, 3, 3, 1, 3, 2, 4, 2, 4, 1, 0, 1, 2, 0, 2, 4, 3, 1, 2, 2, 2, 4, 4, 1, 3, 0, 0, 4, 0, 4, 3, 1, 1, 2, 2, 1, 3, 1, 4, 1, 3, 2, 2, 1, 1, 3, 0, 0, 1, 4, 2, 2, 3, 3, 2, 3, 0, 0, 4, 1, 3, 4, 4, 0, 2, 4, 0, 0, 4, 2, 3, 2, 2, 4, 2, 4, 1, 2, 1, 1, 0, 2, 2, 4, 2, 2, 2, 0, 1, 3, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 3, 1, 4, 1, 1, 4, 3, 3, 0, 1, 0, 3, 2, 2, 1, 1, 0, 3, 2, 0, 2, 0, 3, 4, 1, 2, 1, 0, 2, 1, 4, 3, 2, 1, 3, 2, 4, 2, 0, 4, 2, 2, 0, 3, 2, 0, 4, 2, 0, 2, 2, 4, 2, 4, 2, 2, 2, 3, 2, 0, 1, 2, 0, 3, 4, 2, 4, 0, 0, 2, 4, 1, 3, 0, 2, 3, 3, 1, 4, 3, 4, 4, 3, 4, 3, 2, 1, 1, 4, 2, 1, 1, 0, 4, 2, 2, 4, 2, 4, 4, 0, 3, 0, 3, 1, 2, 0, 0, 3, 0, 2, 4, 0, 2, 1, 3, 0, 2, 2, 4, 4, 4, 2, 1, 0, 0, 1, 0, 1, 0, 4, 3, 2, 0, 0, 1, 0, 3, 1, 4, 4, 4, 0, 3, 2, 1, 3, 2, 3, 3, 2, 0, 0, 0, 1, 0, 4, 1, 4, 3, 4, 0, 1, 4, 0, 0, 3, 0, 4, 1, 2, 0, 0, 1, 0]
pubkeycol476 = [2, 4, 3, 2, 4, 0, 4, 1, 2, 0, 0, 4, 1, 4, 0, 0, 2, 3, 3, 0, 2, 1, 3, 2, 1, 0, 2, 0, 1, 3, 4, 4, 0, 2, 3, 2, 4, 0, 3, 2, 2, 1, 4, 4, 1, 3, 4, 1, 0, 0, 4, 3, 0, 3, 4, 4, 0, 4, 0, 3, 2, 4, 4, 4, 1, 4, 4, 4, 1, 1, 4, 3, 1, 1, 3, 0, 2, 0, 0, 1, 1, 4, 4, 3, 4, 4, 3, 0, 3, 4, 1, 3, 2, 3, 3, 4, 0, 3, 2, 2, 4, 2, 2, 2, 3, 4, 3, 3, 0, 2, 0, 0, 1, 2, 2, 1, 4, 2, 1, 4, 4, 1, 1, 1, 3, 3, 4, 0, 0, 3, 3, 2, 3, 4, 0, 0, 1, 0, 2, 3, 4, 3, 4, 3, 4, 4, 4, 0, 2, 0, 1, 1, 2, 0, 0, 4, 4, 0, 1, 4, 3, 3, 0, 1, 3, 4, 4, 4, 2, 0, 1, 2, 0, 4, 0, 2, 1, 0, 4, 0, 1, 0, 2, 3, 0, 2, 3, 3, 0, 4, 3, 3, 4, 1, 1, 0, 2, 3, 1, 2, 0, 1, 0, 1, 0, 4, 2, 3, 2, 3, 2, 0, 3, 1, 4, 2, 1, 1, 2, 4, 4, 2, 4, 1, 1, 4, 4, 3, 0, 4, 3, 2, 4, 0, 3, 0, 2, 0, 2, 2, 2, 1, 4, 2, 4, 3, 2, 4, 3, 4, 0, 4, 4, 2, 2, 1, 2, 4, 4, 1, 2, 2, 2, 3, 2, 3, 0, 3, 2, 1, 2, 4, 4, 3, 2, 3, 2, 4, 4, 1, 1, 0, 0, 4, 4, 4, 0, 0, 1, 3, 1, 2, 0, 3, 1, 4, 0, 0, 0, 3, 0, 1, 1, 0, 1, 4, 0, 2, 2, 4, 2, 2, 4, 4, 3, 2, 4, 4, 3, 3, 1, 0, 2, 2, 1, 2, 0, 0, 3, 0, 1, 3, 2, 2, 3, 4, 4, 2, 4, 1, 4, 2, 3, 3, 0, 4, 0, 1, 3, 0, 3, 4, 4, 0, 1, 2, 4, 3, 0, 3, 1, 3, 3, 3, 1, 1, 4, 2, 0, 1, 2, 2, 1, 2, 3, 2, 2, 1, 0, 3, 2, 1, 2, 0, 4, 2, 0, 3, 3, 2, 3, 2, 4, 2, 0, 1, 2, 2, 3, 0]
pubkeycol477 = [1, 1, 0, 1, 4, 2, 4, 2, 4, 3, 4, 2, 0, 4, 1, 0, 3, 0, 0, 2, 0, 2, 0, 0, 1, 0, 3, 2, 1, 4, 0, 2, 2, 3, 4, 1, 3, 1, 3, 0, 2, 4, 4, 0, 1, 4, 0, 2, 4, 0, 0, 0, 4, 3, 3, 3, 3, 3, 2, 4, 4, 2, 1, 1, 1, 3, 0, 2, 2, 1, 4, 2, 3, 0, 3, 2, 4, 1, 1, 4, 0, 1, 4, 3, 2, 0, 4, 3, 4, 2, 4, 4, 3, 0, 1, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 3, 2, 4, 2, 1, 2, 3, 1, 1, 0, 1, 2, 4, 1, 1, 4, 0, 3, 2, 0, 3, 3, 1, 1, 2, 3, 0, 2, 3, 0, 1, 2, 4, 3, 3, 1, 2, 3, 0, 1, 4, 0, 0, 2, 3, 0, 2, 2, 0, 1, 3, 1, 1, 4, 1, 4, 3, 4, 4, 3, 2, 2, 1, 2, 4, 3, 2, 1, 0, 1, 3, 2, 0, 2, 2, 0, 4, 1, 1, 1, 0, 0, 3, 4, 0, 3, 0, 1, 3, 1, 2, 3, 4, 1, 2, 4, 0, 3, 4, 3, 1, 4, 1, 0, 2, 3, 0, 2, 4, 2, 4, 3, 2, 4, 4, 2, 1, 2, 2, 1, 3, 1, 1, 4, 2, 4, 0, 1, 0, 3, 1, 0, 1, 4, 2, 1, 3, 3, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 4, 2, 2, 4, 3, 2, 0, 0, 2, 4, 4, 4, 2, 3, 0, 3, 4, 0, 4, 0, 1, 0, 4, 4, 0, 3, 0, 1, 3, 1, 3, 0, 2, 4, 1, 0, 4, 1, 2, 3, 3, 4, 2, 3, 1, 1, 4, 2, 3, 0, 0, 0, 3, 4, 0, 3, 1, 0, 4, 3, 4, 1, 2, 3, 1, 0, 3, 4, 4, 2, 2, 1, 4, 1, 0, 3, 4, 1, 3, 0, 3, 3, 1, 1, 1, 1, 3, 3, 4, 0, 1, 2, 0, 2, 2, 3, 1, 2, 0, 1, 2, 4, 4, 3, 4, 3, 0, 1, 4, 2, 1, 4, 2, 1, 0, 3, 3, 2, 4, 0, 3, 2, 4, 3, 0, 1, 3, 1, 0, 2, 0, 0, 3, 4, 0, 4, 3, 4, 2, 1, 0, 0, 3, 0, 3, 0, 3]
pubkeycol478 = [4, 4, 3, 2, 1, 2, 3, 1, 1, 4, 2, 4, 3, 2, 4, 3, 4, 3, 0, 0, 1, 0, 0, 4, 1, 0, 0, 4, 1, 4, 1, 2, 1, 0, 3, 3, 1, 2, 3, 2, 3, 1, 1, 4, 0, 1, 4, 1, 2, 1, 3, 4, 2, 3, 3, 2, 4, 0, 2, 4, 4, 1, 3, 2, 0, 3, 1, 3, 3, 3, 3, 4, 4, 3, 2, 4, 1, 3, 1, 1, 4, 4, 4, 2, 1, 2, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 0, 0, 1, 4, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 4, 3, 4, 2, 4, 1, 3, 0, 0, 1, 2, 4, 3, 2, 4, 4, 4, 0, 2, 0, 3, 4, 0, 0, 4, 1, 2, 0, 3, 1, 3, 4, 4, 0, 2, 1, 4, 3, 1, 3, 3, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 0, 2, 3, 4, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 4, 1, 0, 2, 1, 4, 2, 0, 4, 0, 1, 0, 3, 1, 1, 3, 4, 4, 2, 0, 2, 1, 2, 2, 0, 3, 2, 3, 2, 3, 3, 4, 1, 4, 2, 0, 1, 4, 1, 2, 2, 3, 1, 4, 4, 1, 1, 2, 0, 3, 4, 2, 2, 1, 2, 1, 1, 0, 4, 3, 3, 1, 1, 1, 0, 3, 1, 2, 2, 1, 4, 2, 0, 0, 1, 2, 4, 3, 1, 2, 1, 2, 3, 1, 0, 2, 1, 4, 1, 0, 1, 2, 3, 1, 0, 2, 0, 3, 1, 2, 4, 2, 1, 1, 4, 2, 4, 3, 3, 2, 3, 4, 3, 0, 4, 2, 3, 4, 3, 2, 0, 2, 0, 1, 1, 2, 4, 0, 2, 1, 3, 4, 4, 3, 4, 1, 3, 1, 2, 4, 0, 1, 0, 2, 2, 2, 3, 4, 4, 2, 0, 1, 4, 4, 3, 2, 1, 3, 4, 0, 2, 3, 4, 2, 0, 1, 2, 1, 3, 4, 4, 0, 3, 3, 4, 3, 3, 3, 1, 3, 0, 2, 4, 1, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 2, 1, 0, 4, 4, 0, 0, 2, 3, 0, 3, 2, 3, 3, 4, 4, 2, 4]
pubkeycol479 = [1, 1, 1, 4, 0, 0, 0, 4, 0, 2, 1, 3, 2, 0, 3, 2, 4, 0, 3, 0, 4, 1, 2, 3, 2, 0, 1, 4, 0, 0, 0, 0, 3, 4, 3, 2, 2, 1, 0, 2, 2, 3, 1, 4, 3, 0, 2, 0, 4, 3, 3, 2, 4, 3, 3, 1, 0, 0, 2, 4, 3, 3, 3, 0, 2, 2, 1, 3, 3, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 3, 4, 1, 3, 2, 4, 2, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 0, 0, 0, 4, 2, 2, 4, 1, 0, 3, 3, 0, 1, 3, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 3, 2, 0, 0, 2, 2, 3, 2, 3, 3, 4, 0, 2, 4, 3, 4, 3, 1, 3, 2, 2, 3, 4, 4, 1, 3, 3, 1, 0, 4, 3, 4, 2, 3, 2, 2, 2, 3, 1, 1, 2, 0, 4, 4, 3, 0, 0, 4, 2, 4, 0, 0, 2, 0, 4, 1, 0, 2, 1, 4, 2, 3, 4, 4, 3, 3, 2, 0, 1, 2, 1, 4, 0, 3, 0, 2, 4, 0, 2, 1, 3, 4, 1, 0, 3, 2, 2, 4, 4, 0, 0, 1, 0, 1, 0, 2, 1, 4, 2, 2, 0, 2, 3, 1, 0, 0, 0, 4, 2, 4, 1, 4, 3, 0, 4, 0, 0, 2, 3, 2, 0, 1, 1, 3, 1, 4, 1, 1, 3, 1, 1, 3, 2, 0, 4, 0, 3, 4, 3, 4, 4, 4, 3, 2, 0, 3, 4, 3, 0, 4, 2, 1, 1, 4, 3, 2, 2, 4, 3, 3, 0, 1, 3, 3, 2, 2, 3, 3, 0, 4, 4, 0, 4, 3, 0, 1, 4, 0, 2, 0, 0, 4, 4, 1, 2, 3, 4, 2, 3, 2, 2, 4, 2, 3, 4, 2, 3, 4, 4, 0, 1, 0, 3, 1, 0, 2, 1, 0, 4, 2, 4, 2, 2, 0, 4, 2, 0, 3, 4, 4, 4, 3, 4, 0, 2, 4, 2, 1, 4, 0, 0, 4, 1, 2, 4, 0, 2, 0, 2, 3, 4, 2, 3, 4, 1, 1, 0, 2, 3, 0, 1, 3, 2, 4, 3, 1, 2, 0, 2, 1, 4, 2, 0, 1, 1, 1, 0, 0, 4, 0, 2, 2, 1, 4]
pubkeycol480 = [2, 1, 1, 0, 4, 3, 2, 2, 1, 0, 3, 0, 3, 1, 1, 1, 1, 2, 3, 2, 0, 2, 2, 3, 4, 0, 1, 2, 4, 2, 2, 2, 2, 0, 3, 3, 1, 3, 0, 3, 4, 2, 0, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 1, 0, 3, 3, 0, 2, 4, 2, 3, 0, 1, 1, 4, 2, 4, 4, 3, 0, 2, 2, 0, 4, 0, 0, 3, 2, 0, 0, 4, 3, 1, 4, 0, 1, 4, 3, 1, 2, 3, 1, 2, 3, 0, 2, 2, 1, 0, 0, 4, 3, 4, 2, 2, 0, 3, 0, 2, 1, 4, 1, 3, 2, 2, 3, 0, 3, 4, 1, 3, 2, 3, 3, 2, 1, 3, 1, 2, 1, 3, 3, 0, 3, 4, 1, 2, 2, 3, 4, 0, 2, 3, 4, 4, 3, 2, 0, 4, 4, 4, 1, 1, 1, 2, 0, 2, 0, 1, 4, 3, 0, 1, 3, 0, 3, 3, 0, 4, 4, 2, 4, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 4, 2, 4, 2, 4, 3, 4, 4, 1, 1, 1, 4, 2, 2, 1, 4, 2, 3, 3, 0, 1, 0, 0, 2, 3, 1, 4, 1, 4, 2, 3, 0, 1, 4, 1, 0, 1, 0, 0, 4, 3, 3, 2, 1, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 0, 4, 2, 1, 2, 1, 3, 4, 0, 3, 0, 0, 0, 3, 2, 3, 3, 1, 0, 2, 4, 3, 0, 1, 3, 4, 3, 1, 0, 4, 1, 0, 0, 3, 4, 1, 1, 1, 1, 2, 3, 4, 4, 4, 0, 4, 2, 1, 1, 2, 0, 1, 4, 0, 4, 4, 4, 4, 3, 4, 2, 2, 4, 0, 3, 3, 0, 0, 4, 4, 1, 3, 0, 1, 2, 0, 2, 0, 3, 1, 4, 0, 2, 2, 0, 2, 3, 4, 3, 3, 2, 4, 3, 4, 1, 2, 0, 4, 2, 0, 2, 1, 2, 4, 3, 1, 1, 0, 0, 0, 3, 0, 4, 3, 0, 4, 4, 0, 1, 0, 1, 3, 3, 0, 2, 3, 4, 0, 4, 3, 1, 0, 4, 2, 0, 4, 4, 0, 4, 0, 4, 4, 3, 3, 4, 0, 0, 3, 3, 4, 2, 4, 2, 0, 4, 4, 2, 1, 0, 1, 1, 3, 2]
pubkeycol481 = [3, 0, 4, 0, 4, 3, 0, 1, 0, 0, 1, 4, 4, 3, 2, 4, 3, 2, 1, 3, 4, 1, 2, 0, 4, 1, 0, 1, 0, 2, 0, 3, 4, 4, 1, 3, 3, 3, 0, 4, 1, 2, 1, 0, 3, 2, 0, 4, 4, 3, 0, 0, 3, 3, 0, 1, 2, 0, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 0, 4, 1, 4, 1, 1, 2, 3, 2, 4, 0, 1, 3, 3, 2, 4, 3, 1, 3, 4, 3, 1, 2, 1, 3, 2, 0, 1, 3, 0, 4, 1, 1, 2, 1, 0, 0, 4, 3, 1, 3, 2, 0, 3, 4, 4, 2, 4, 0, 4, 0, 1, 2, 3, 4, 3, 0, 0, 4, 1, 3, 0, 4, 1, 2, 0, 3, 1, 1, 1, 3, 2, 2, 0, 3, 4, 1, 4, 4, 1, 4, 3, 3, 4, 0, 3, 4, 1, 0, 4, 2, 1, 3, 1, 2, 2, 4, 3, 3, 4, 4, 2, 0, 0, 4, 3, 2, 2, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 4, 1, 2, 0, 3, 0, 0, 0, 1, 3, 3, 1, 4, 1, 3, 0, 3, 3, 0, 0, 3, 2, 4, 2, 1, 0, 0, 3, 0, 1, 0, 0, 2, 0, 3, 4, 0, 2, 4, 3, 0, 0, 0, 4, 4, 4, 3, 0, 2, 3, 1, 0, 3, 2, 1, 1, 1, 2, 3, 0, 0, 4, 0, 0, 2, 4, 1, 1, 2, 2, 3, 4, 3, 2, 0, 1, 0, 4, 1, 0, 0, 3, 3, 2, 3, 4, 3, 2, 2, 4, 3, 3, 0, 2, 1, 1, 2, 1, 1, 0, 3, 3, 0, 3, 2, 3, 2, 2, 0, 0, 4, 4, 2, 1, 4, 1, 2, 0, 1, 2, 0, 2, 2, 0, 3, 3, 1, 4, 0, 3, 4, 4, 1, 1, 1, 0, 2, 3, 1, 3, 2, 4, 4, 0, 2, 4, 0, 1, 2, 0, 0, 1, 2, 4, 1, 4, 4, 3, 3, 2, 2, 2, 0, 2, 3, 0, 1, 2, 3, 3, 4, 0, 1, 3, 2, 1, 2, 4, 3, 1, 2, 1, 4, 1, 4, 2, 0, 3, 2, 1, 3, 1, 0, 0, 4, 3, 0, 3, 1, 0, 2, 4, 4, 3, 2, 0, 0, 4, 3, 1, 3, 3, 3, 0]
pubkeycol482 = [1, 4, 3, 1, 3, 0, 1, 1, 2, 4, 4, 0, 1, 2, 1, 4, 3, 4, 4, 0, 3, 1, 4, 4, 1, 3, 3, 2, 1, 0, 3, 0, 0, 0, 2, 2, 3, 0, 4, 3, 2, 4, 1, 0, 1, 2, 2, 4, 3, 2, 4, 3, 0, 3, 0, 0, 0, 4, 4, 3, 1, 3, 1, 1, 1, 2, 2, 1, 3, 0, 0, 4, 1, 4, 3, 2, 0, 1, 4, 1, 2, 3, 0, 0, 3, 2, 3, 4, 1, 4, 2, 4, 1, 4, 2, 4, 0, 3, 4, 1, 0, 0, 0, 0, 4, 4, 3, 3, 1, 4, 4, 3, 3, 0, 1, 3, 0, 1, 1, 2, 1, 3, 1, 4, 2, 4, 0, 4, 4, 4, 0, 3, 4, 3, 0, 4, 4, 2, 4, 1, 0, 4, 1, 3, 0, 3, 2, 1, 0, 4, 4, 0, 4, 0, 4, 2, 1, 1, 4, 3, 0, 0, 2, 2, 3, 1, 4, 3, 1, 0, 4, 2, 0, 0, 0, 3, 3, 2, 0, 4, 1, 3, 4, 3, 1, 2, 1, 0, 0, 0, 1, 0, 4, 2, 4, 4, 4, 1, 0, 1, 1, 1, 1, 3, 0, 1, 3, 2, 0, 1, 2, 1, 3, 2, 3, 4, 2, 2, 1, 1, 4, 2, 1, 2, 0, 3, 1, 0, 1, 1, 1, 1, 3, 2, 4, 0, 1, 4, 3, 3, 3, 1, 3, 4, 1, 0, 1, 1, 4, 2, 4, 0, 1, 0, 0, 0, 3, 1, 2, 2, 2, 3, 4, 2, 0, 4, 1, 1, 1, 0, 0, 4, 3, 2, 3, 3, 3, 4, 0, 4, 4, 0, 1, 4, 3, 0, 4, 2, 2, 4, 4, 1, 4, 3, 1, 0, 4, 4, 4, 1, 2, 3, 3, 4, 3, 2, 3, 1, 2, 0, 2, 1, 2, 1, 3, 4, 0, 4, 1, 4, 3, 4, 4, 2, 1, 3, 4, 1, 1, 2, 1, 1, 3, 1, 0, 2, 2, 3, 4, 1, 0, 1, 0, 4, 0, 0, 4, 2, 2, 0, 2, 2, 4, 0, 1, 3, 1, 1, 2, 1, 0, 3, 0, 2, 0, 0, 0, 3, 3, 3, 0, 4, 4, 2, 3, 2, 1, 0, 1, 4, 2, 2, 1, 1, 4, 1, 4, 2, 1, 2, 3, 2, 4, 3, 3, 4, 1, 4, 1, 0]
pubkeycol483 = [0, 1, 0, 2, 2, 4, 0, 3, 2, 1, 0, 2, 1, 1, 1, 3, 4, 3, 1, 0, 4, 2, 3, 4, 2, 2, 4, 2, 3, 2, 4, 2, 2, 0, 4, 2, 3, 4, 4, 0, 2, 2, 3, 1, 3, 2, 4, 2, 3, 3, 2, 0, 3, 3, 4, 3, 4, 4, 4, 2, 3, 3, 0, 1, 1, 0, 2, 3, 2, 0, 3, 2, 1, 3, 1, 0, 0, 0, 4, 1, 1, 4, 3, 4, 0, 4, 1, 3, 1, 2, 4, 3, 0, 3, 0, 0, 2, 0, 3, 2, 2, 4, 0, 4, 1, 2, 4, 4, 4, 1, 1, 4, 4, 3, 2, 4, 3, 3, 2, 3, 1, 2, 0, 3, 3, 4, 3, 2, 1, 1, 0, 2, 4, 4, 3, 4, 1, 3, 2, 1, 0, 4, 4, 0, 1, 3, 0, 3, 0, 2, 0, 0, 1, 4, 0, 2, 3, 0, 0, 1, 0, 1, 3, 3, 2, 3, 0, 3, 2, 2, 0, 4, 2, 3, 1, 4, 0, 3, 3, 0, 1, 0, 4, 2, 4, 0, 1, 0, 4, 0, 4, 3, 0, 4, 0, 0, 4, 0, 3, 4, 2, 1, 1, 0, 0, 1, 1, 4, 0, 3, 2, 3, 4, 0, 0, 4, 2, 0, 1, 3, 0, 1, 4, 2, 1, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 3, 2, 3, 4, 1, 2, 1, 1, 0, 1, 0, 1, 2, 4, 0, 0, 1, 4, 1, 0, 0, 4, 2, 0, 0, 1, 2, 0, 1, 3, 0, 2, 2, 3, 1, 1, 1, 1, 3, 0, 0, 0, 0, 4, 1, 3, 4, 4, 1, 0, 3, 2, 2, 1, 4, 0, 2, 0, 2, 1, 2, 1, 4, 3, 4, 1, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 1, 3, 4, 0, 0, 1, 3, 1, 3, 1, 4, 4, 2, 2, 3, 4, 2, 0, 1, 2, 2, 3, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 4, 4, 2, 1, 0, 0, 4, 2, 0, 4, 1, 4, 0, 2, 1, 2, 3, 4, 2, 1, 4, 3, 4, 4, 1, 3, 2, 3, 1, 1, 4, 4, 1, 3, 3, 1, 2, 2, 3, 0, 3, 3, 3, 2, 2, 2, 4, 3, 1, 3, 0, 2, 1, 4, 1, 1]
pubkeycol484 = [4, 0, 3, 3, 4, 3, 1, 4, 4, 3, 0, 3, 4, 1, 3, 0, 2, 1, 4, 0, 1, 4, 4, 2, 1, 3, 1, 4, 3, 0, 3, 4, 2, 0, 4, 1, 3, 4, 2, 2, 4, 4, 3, 2, 2, 3, 4, 0, 0, 0, 3, 1, 2, 0, 1, 1, 0, 0, 1, 2, 3, 0, 4, 3, 4, 0, 3, 3, 2, 1, 0, 3, 2, 1, 4, 4, 3, 4, 1, 3, 4, 4, 3, 2, 3, 3, 1, 3, 1, 3, 1, 2, 4, 2, 2, 4, 2, 4, 3, 3, 2, 3, 4, 3, 3, 4, 0, 3, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 2, 3, 1, 0, 1, 2, 0, 4, 0, 2, 2, 2, 4, 3, 4, 3, 0, 4, 2, 3, 1, 4, 3, 3, 3, 0, 3, 3, 0, 0, 4, 2, 2, 1, 1, 2, 1, 1, 1, 1, 4, 0, 4, 4, 2, 0, 0, 2, 4, 2, 2, 4, 1, 2, 0, 1, 1, 0, 0, 3, 2, 3, 0, 4, 2, 3, 0, 0, 2, 1, 0, 2, 3, 2, 3, 2, 2, 4, 4, 4, 4, 0, 0, 4, 1, 3, 2, 0, 1, 4, 1, 3, 4, 1, 1, 2, 0, 0, 4, 3, 3, 3, 4, 4, 0, 3, 4, 1, 1, 2, 2, 1, 4, 4, 4, 1, 3, 1, 4, 2, 2, 2, 4, 4, 1, 1, 4, 2, 3, 0, 2, 0, 0, 4, 0, 3, 3, 1, 2, 4, 4, 2, 2, 0, 2, 2, 0, 0, 0, 4, 2, 3, 1, 3, 4, 1, 0, 1, 2, 4, 0, 1, 4, 1, 1, 0, 4, 0, 4, 3, 3, 0, 3, 0, 1, 3, 2, 3, 2, 3, 3, 0, 0, 3, 1, 2, 3, 4, 2, 0, 4, 3, 4, 1, 4, 2, 4, 3, 0, 2, 4, 4, 4, 1, 3, 3, 2, 1, 4, 0, 1, 2, 0, 3, 4, 0, 3, 1, 2, 4, 0, 2, 4, 0, 4, 0, 4, 4, 2, 0, 4, 3, 0, 2, 3, 3, 0, 3, 1, 1, 1, 2, 4, 2, 3, 1, 4, 4, 1, 0, 0, 4, 3, 3, 4, 2, 2, 2, 3, 0, 0, 2, 1, 1, 0, 1, 1, 4, 4, 0, 0, 1, 3, 2, 1, 3, 2, 2, 1, 1, 0, 4]
pubkeycol485 = [0, 3, 3, 3, 0, 4, 4, 2, 2, 0, 4, 2, 4, 2, 2, 2, 0, 4, 4, 2, 3, 3, 0, 2, 2, 3, 2, 0, 3, 3, 4, 1, 2, 2, 1, 0, 4, 1, 1, 2, 1, 1, 4, 4, 3, 3, 1, 4, 1, 4, 3, 4, 2, 0, 1, 3, 3, 2, 3, 0, 3, 3, 2, 3, 2, 2, 3, 3, 3, 4, 2, 3, 1, 1, 3, 2, 1, 0, 0, 2, 3, 4, 3, 3, 0, 3, 3, 3, 4, 2, 4, 2, 2, 3, 1, 1, 4, 0, 4, 0, 3, 2, 1, 0, 4, 0, 0, 0, 2, 0, 4, 2, 1, 3, 2, 3, 1, 1, 1, 0, 1, 3, 0, 4, 0, 3, 1, 4, 1, 1, 4, 2, 3, 1, 0, 4, 0, 1, 4, 2, 4, 4, 2, 1, 0, 3, 2, 2, 3, 4, 2, 2, 0, 0, 4, 3, 1, 3, 1, 3, 2, 2, 2, 4, 3, 1, 4, 3, 4, 0, 0, 3, 4, 2, 4, 4, 4, 2, 3, 0, 4, 2, 2, 0, 3, 2, 0, 2, 4, 2, 4, 2, 0, 0, 1, 2, 0, 1, 4, 4, 3, 0, 2, 0, 4, 0, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 0, 2, 0, 2, 2, 0, 4, 3, 3, 4, 2, 2, 4, 3, 1, 4, 2, 3, 0, 2, 0, 1, 4, 3, 3, 2, 2, 2, 0, 4, 3, 2, 4, 0, 0, 0, 3, 4, 2, 4, 0, 0, 2, 1, 3, 0, 1, 0, 4, 4, 3, 1, 4, 2, 3, 2, 4, 0, 2, 0, 1, 2, 1, 1, 3, 2, 4, 3, 3, 4, 2, 3, 0, 3, 2, 1, 1, 0, 4, 1, 2, 1, 4, 0, 0, 1, 0, 0, 2, 4, 3, 3, 0, 3, 2, 3, 1, 3, 2, 0, 2, 3, 2, 1, 0, 2, 0, 3, 2, 0, 3, 1, 4, 4, 4, 1, 1, 4, 0, 0, 0, 0, 0, 0, 4, 3, 3, 0, 4, 3, 2, 3, 0, 1, 1, 0, 2, 0, 1, 3, 3, 4, 3, 3, 4, 3, 4, 0, 4, 1, 1, 2, 0, 4, 3, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 4, 4, 2, 4, 2, 4, 4, 4, 1, 4, 0, 0, 2, 0, 4, 1, 1, 1, 4]
pubkeycol486 = [0, 1, 4, 1, 0, 3, 0, 3, 3, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 4, 4, 0, 1, 2, 4, 3, 2, 1, 1, 4, 1, 3, 3, 4, 4, 1, 4, 1, 1, 3, 3, 0, 4, 3, 0, 4, 0, 1, 2, 0, 0, 4, 2, 3, 2, 2, 4, 1, 4, 3, 1, 3, 0, 1, 0, 1, 4, 2, 1, 4, 1, 2, 2, 4, 3, 4, 0, 0, 4, 4, 4, 1, 3, 0, 4, 3, 1, 2, 2, 2, 2, 3, 0, 3, 4, 1, 0, 0, 1, 4, 3, 0, 3, 1, 2, 3, 0, 0, 1, 4, 3, 4, 3, 0, 1, 3, 4, 2, 1, 2, 1, 1, 4, 3, 1, 1, 4, 2, 2, 0, 0, 4, 0, 1, 3, 4, 4, 0, 2, 2, 2, 1, 0, 3, 0, 4, 2, 1, 3, 4, 4, 2, 4, 2, 4, 2, 0, 4, 2, 3, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 1, 0, 3, 1, 3, 4, 1, 1, 3, 4, 3, 3, 3, 3, 4, 2, 3, 0, 2, 2, 1, 2, 2, 4, 4, 1, 4, 0, 4, 1, 3, 4, 0, 1, 2, 4, 3, 0, 1, 0, 0, 2, 4, 0, 4, 3, 1, 2, 3, 1, 0, 3, 4, 0, 3, 3, 2, 1, 1, 2, 0, 4, 1, 0, 0, 1, 3, 0, 0, 2, 2, 3, 4, 2, 4, 4, 2, 2, 1, 0, 1, 1, 3, 0, 0, 1, 3, 4, 0, 1, 1, 0, 1, 1, 2, 4, 0, 3, 1, 3, 4, 2, 2, 2, 4, 0, 3, 3, 0, 1, 0, 2, 1, 4, 4, 2, 3, 0, 4, 4, 2, 3, 2, 3, 4, 2, 3, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 4, 3, 1, 4, 1, 4, 3, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 3, 4, 4, 0, 3, 3, 3, 2, 1, 4, 3, 2, 1, 3, 4, 0, 1, 2, 4, 1, 3, 0, 3, 0, 0, 3, 1, 1, 0, 4, 2, 3, 4, 1, 3, 3, 2, 3, 2, 2, 1, 4, 2, 2, 1, 0, 1, 1, 3, 3, 0, 2, 2, 2, 1, 2, 1]
pubkeycol487 = [0, 4, 4, 3, 3, 1, 4, 1, 2, 2, 1, 0, 1, 4, 0, 1, 2, 0, 0, 0, 1, 2, 4, 0, 3, 4, 2, 3, 2, 4, 0, 1, 2, 3, 1, 1, 0, 1, 4, 4, 3, 2, 0, 1, 3, 0, 3, 2, 2, 1, 1, 2, 2, 1, 2, 4, 2, 0, 2, 2, 4, 2, 4, 3, 1, 4, 2, 1, 0, 3, 1, 0, 4, 2, 2, 0, 0, 2, 1, 4, 2, 0, 2, 0, 3, 0, 1, 0, 1, 1, 1, 0, 3, 1, 3, 2, 3, 3, 3, 3, 2, 0, 2, 3, 3, 3, 4, 3, 0, 3, 3, 1, 3, 0, 0, 3, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 4, 2, 0, 1, 2, 1, 0, 1, 4, 0, 4, 3, 3, 2, 4, 2, 0, 3, 0, 0, 0, 1, 1, 1, 4, 1, 4, 3, 0, 1, 1, 2, 1, 3, 0, 0, 1, 4, 3, 4, 3, 3, 4, 1, 4, 2, 4, 4, 3, 0, 1, 4, 0, 0, 2, 1, 1, 1, 2, 3, 1, 4, 4, 1, 4, 1, 1, 2, 3, 1, 2, 4, 1, 4, 4, 0, 4, 4, 3, 0, 3, 3, 3, 1, 0, 2, 1, 0, 0, 1, 2, 0, 3, 4, 2, 3, 4, 0, 2, 0, 0, 0, 0, 1, 4, 1, 2, 3, 4, 1, 3, 0, 0, 0, 2, 2, 0, 1, 4, 1, 3, 4, 4, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 4, 0, 3, 4, 0, 4, 3, 0, 0, 2, 0, 3, 4, 1, 1, 1, 1, 3, 0, 3, 1, 2, 2, 4, 4, 4, 1, 1, 2, 2, 4, 1, 3, 3, 2, 0, 1, 3, 0, 4, 2, 4, 3, 0, 3, 1, 2, 3, 1, 0, 4, 0, 1, 0, 1, 3, 1, 3, 0, 1, 3, 4, 4, 4, 2, 4, 0, 4, 4, 4, 1, 4, 4, 0, 4, 0, 4, 3, 1, 2, 0, 4, 3, 1, 4, 2, 2, 0, 0, 1, 2, 4, 3, 4, 3, 1, 3, 4, 0, 0, 1, 2, 2, 4, 2, 1, 0, 2, 3, 4, 1, 3, 4, 4, 2, 2, 0, 0, 4, 0, 1, 4, 0, 1, 4, 0, 3, 4, 4, 2, 1, 2, 1, 1, 0, 1, 1, 3, 0, 0]
pubkeycol488 = [3, 0, 3, 2, 3, 1, 2, 3, 3, 3, 2, 4, 3, 3, 4, 3, 3, 2, 1, 1, 2, 3, 4, 0, 3, 4, 4, 4, 1, 3, 2, 0, 2, 1, 4, 2, 1, 1, 1, 1, 2, 4, 1, 4, 2, 1, 2, 4, 3, 4, 3, 3, 1, 3, 3, 0, 2, 0, 3, 0, 1, 2, 4, 0, 0, 4, 4, 0, 4, 2, 2, 4, 2, 3, 2, 3, 2, 2, 3, 2, 4, 4, 1, 4, 4, 1, 1, 2, 4, 4, 1, 2, 1, 0, 3, 2, 2, 1, 2, 4, 1, 3, 1, 1, 4, 1, 4, 4, 0, 3, 3, 2, 1, 2, 3, 4, 4, 3, 0, 1, 0, 0, 0, 0, 0, 4, 2, 3, 3, 4, 1, 3, 3, 1, 3, 2, 3, 4, 2, 4, 4, 2, 0, 1, 1, 3, 1, 4, 4, 3, 1, 2, 3, 4, 4, 4, 4, 3, 2, 3, 0, 0, 0, 3, 4, 1, 2, 4, 1, 2, 3, 3, 2, 0, 2, 1, 4, 2, 0, 2, 3, 3, 0, 2, 2, 0, 3, 0, 2, 4, 2, 4, 0, 3, 2, 4, 2, 3, 1, 2, 0, 2, 3, 4, 3, 0, 3, 3, 1, 0, 4, 2, 4, 3, 2, 0, 1, 0, 1, 1, 0, 2, 2, 3, 4, 3, 4, 4, 1, 1, 1, 3, 1, 2, 1, 1, 4, 0, 1, 3, 4, 3, 1, 3, 2, 3, 0, 4, 4, 4, 3, 3, 1, 1, 2, 3, 4, 2, 4, 3, 2, 3, 0, 3, 4, 2, 4, 4, 2, 0, 3, 0, 2, 4, 3, 1, 3, 4, 3, 3, 3, 4, 2, 2, 3, 0, 1, 1, 2, 1, 0, 4, 3, 2, 4, 3, 3, 2, 2, 1, 3, 0, 0, 2, 0, 3, 1, 3, 1, 0, 4, 4, 4, 1, 2, 4, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 4, 3, 4, 4, 0, 1, 2, 4, 3, 4, 0, 0, 4, 4, 3, 2, 4, 2, 1, 3, 2, 1, 4, 0, 0, 2, 0, 2, 4, 1, 4, 4, 0, 0, 4, 3, 4, 4, 4, 2, 0, 0, 3, 3, 2, 2, 0, 2, 2, 1, 4, 3, 0, 0, 0, 3, 2, 4, 2, 0, 0, 1, 3, 2, 2, 3, 1, 2, 3, 2, 4, 0, 0]
pubkeycol489 = [2, 1, 4, 0, 2, 3, 0, 3, 0, 4, 0, 4, 4, 2, 3, 4, 1, 0, 4, 2, 1, 2, 3, 1, 3, 3, 3, 3, 2, 0, 0, 2, 3, 2, 3, 2, 0, 1, 0, 2, 4, 1, 0, 3, 3, 1, 0, 1, 2, 2, 4, 4, 3, 0, 2, 0, 3, 0, 3, 4, 4, 1, 0, 1, 1, 2, 4, 0, 4, 1, 2, 2, 0, 3, 4, 1, 3, 1, 4, 1, 2, 0, 4, 0, 1, 4, 1, 4, 3, 0, 3, 0, 1, 4, 4, 2, 3, 0, 1, 3, 4, 3, 0, 1, 3, 3, 3, 0, 2, 3, 1, 2, 1, 4, 4, 3, 0, 1, 1, 3, 4, 0, 4, 1, 2, 4, 2, 2, 4, 0, 1, 1, 0, 3, 3, 3, 0, 1, 3, 1, 1, 3, 1, 1, 2, 0, 2, 4, 3, 3, 0, 1, 4, 4, 4, 4, 1, 4, 1, 4, 1, 2, 1, 3, 2, 3, 0, 1, 3, 1, 0, 4, 0, 2, 2, 1, 2, 1, 2, 3, 2, 1, 3, 0, 2, 3, 0, 4, 1, 0, 3, 2, 4, 1, 1, 0, 2, 0, 0, 3, 0, 1, 1, 0, 3, 1, 4, 3, 1, 1, 0, 0, 4, 0, 0, 3, 4, 4, 3, 3, 2, 0, 3, 3, 2, 0, 4, 2, 1, 1, 0, 2, 2, 4, 1, 0, 4, 0, 0, 2, 3, 0, 3, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 3, 2, 0, 2, 2, 4, 1, 3, 3, 2, 4, 0, 4, 0, 4, 2, 1, 4, 1, 4, 3, 1, 2, 2, 1, 2, 4, 2, 4, 1, 3, 0, 1, 3, 1, 1, 4, 1, 2, 2, 4, 2, 0, 3, 0, 1, 0, 1, 0, 0, 2, 1, 4, 1, 0, 0, 2, 2, 4, 3, 1, 4, 2, 4, 2, 1, 2, 2, 1, 4, 4, 1, 3, 2, 1, 4, 0, 1, 3, 1, 1, 1, 2, 4, 1, 4, 2, 0, 4, 3, 3, 0, 1, 4, 2, 2, 0, 1, 1, 0, 0, 0, 3, 3, 0, 2, 3, 4, 1, 3, 4, 2, 0, 4, 1, 0, 4, 1, 4, 4, 3, 2, 4, 2, 1, 2, 4, 4, 0, 3, 3, 3, 1, 4, 2, 3, 3, 2, 2, 2, 0, 0, 1, 0, 1, 1, 3]
pubkeycol490 = [0, 4, 1, 4, 0, 2, 1, 0, 0, 2, 0, 1, 4, 2, 3, 4, 0, 0, 0, 1, 2, 3, 2, 4, 3, 3, 2, 2, 1, 3, 3, 1, 1, 4, 1, 4, 3, 3, 0, 0, 0, 1, 4, 3, 4, 4, 2, 2, 1, 2, 0, 3, 1, 3, 0, 2, 0, 1, 3, 1, 4, 2, 3, 4, 4, 4, 3, 1, 4, 0, 0, 2, 1, 4, 2, 2, 0, 1, 1, 4, 4, 2, 1, 3, 4, 2, 2, 0, 1, 2, 0, 3, 3, 1, 1, 3, 3, 3, 2, 0, 4, 1, 1, 4, 4, 0, 4, 4, 1, 2, 1, 2, 0, 2, 0, 1, 3, 3, 3, 1, 1, 1, 4, 1, 3, 1, 4, 0, 4, 1, 4, 2, 0, 4, 2, 3, 1, 3, 0, 1, 0, 4, 1, 3, 3, 4, 2, 0, 1, 2, 3, 2, 3, 2, 3, 2, 4, 0, 4, 2, 0, 3, 2, 4, 3, 0, 1, 2, 3, 1, 2, 2, 3, 0, 1, 0, 1, 0, 0, 4, 0, 2, 2, 3, 1, 4, 0, 2, 0, 0, 4, 1, 2, 1, 2, 1, 1, 3, 3, 1, 3, 1, 4, 0, 0, 2, 3, 1, 2, 3, 4, 2, 0, 2, 3, 1, 2, 0, 3, 3, 1, 4, 1, 0, 0, 4, 0, 2, 1, 3, 3, 4, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 4, 2, 3, 0, 1, 4, 2, 0, 3, 4, 2, 4, 0, 2, 2, 3, 3, 1, 0, 4, 3, 3, 4, 1, 4, 2, 2, 3, 2, 4, 4, 2, 3, 1, 3, 1, 0, 0, 1, 0, 3, 1, 1, 3, 3, 4, 4, 1, 0, 1, 0, 4, 2, 2, 2, 4, 1, 2, 1, 3, 4, 2, 3, 1, 4, 4, 2, 0, 3, 1, 2, 1, 3, 3, 0, 0, 4, 1, 2, 1, 4, 4, 3, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 2, 1, 4, 1, 2, 0, 3, 0, 0, 0, 2, 2, 1, 0, 4, 4, 0, 1, 2, 1, 3, 4, 3, 2, 0, 3, 2, 2, 2, 4, 2, 2, 1, 2, 0, 4, 2, 2, 4, 2, 3, 2, 3, 3, 3, 4, 4, 0, 3, 3, 3, 0, 1, 1, 1, 0, 0, 4, 4, 0, 2, 3, 4, 1]
pubkeycol491 = [2, 1, 0, 2, 1, 3, 4, 2, 1, 2, 2, 2, 1, 0, 1, 0, 4, 2, 4, 2, 3, 2, 2, 3, 1, 0, 2, 4, 0, 1, 1, 3, 1, 4, 0, 4, 3, 0, 0, 4, 1, 3, 4, 2, 4, 0, 1, 1, 1, 2, 4, 2, 2, 2, 3, 2, 4, 1, 4, 2, 3, 2, 0, 4, 1, 4, 2, 0, 1, 0, 0, 2, 1, 1, 2, 3, 3, 2, 1, 4, 4, 2, 4, 0, 4, 4, 0, 0, 4, 3, 3, 4, 0, 4, 1, 0, 3, 4, 4, 1, 3, 1, 2, 3, 3, 2, 2, 1, 1, 0, 3, 2, 1, 0, 3, 2, 0, 0, 3, 0, 1, 4, 0, 2, 4, 1, 4, 4, 3, 1, 0, 4, 1, 2, 1, 3, 4, 0, 0, 1, 3, 0, 4, 4, 4, 4, 3, 1, 0, 0, 1, 4, 2, 4, 3, 3, 2, 3, 1, 2, 4, 3, 2, 0, 4, 0, 2, 2, 0, 2, 1, 4, 3, 1, 3, 0, 0, 3, 4, 3, 3, 1, 2, 0, 1, 0, 2, 2, 3, 2, 2, 3, 3, 0, 2, 2, 4, 0, 3, 0, 0, 4, 4, 3, 0, 1, 2, 2, 3, 0, 2, 4, 3, 2, 0, 0, 0, 4, 1, 4, 1, 4, 3, 4, 3, 1, 1, 3, 4, 1, 0, 4, 2, 1, 2, 4, 3, 4, 4, 1, 2, 0, 1, 0, 1, 2, 4, 4, 1, 3, 1, 4, 3, 1, 0, 4, 3, 3, 3, 0, 2, 0, 0, 0, 0, 3, 1, 2, 3, 1, 1, 0, 3, 1, 3, 1, 0, 0, 1, 4, 1, 4, 4, 1, 0, 0, 0, 4, 4, 1, 4, 1, 4, 0, 3, 1, 1, 1, 0, 2, 2, 2, 3, 0, 3, 4, 0, 2, 0, 1, 2, 2, 1, 3, 0, 3, 4, 2, 1, 2, 0, 0, 4, 0, 0, 4, 4, 1, 2, 2, 4, 1, 0, 4, 0, 1, 0, 3, 2, 4, 4, 1, 2, 4, 3, 4, 1, 4, 1, 3, 3, 0, 1, 0, 0, 2, 0, 0, 3, 3, 1, 2, 0, 0, 0, 0, 4, 1, 3, 0, 3, 1, 3, 4, 4, 1, 3, 1, 0, 0, 0, 2, 3, 4, 2, 1, 3, 2, 3, 2, 3, 1, 4, 1, 0, 0, 3, 0, 0, 0]
pubkeycol492 = [4, 2, 0, 1, 0, 1, 1, 1, 0, 0, 3, 2, 2, 4, 2, 3, 0, 2, 2, 4, 1, 2, 0, 4, 1, 4, 3, 3, 4, 3, 2, 0, 4, 1, 2, 3, 3, 4, 4, 3, 1, 0, 4, 1, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 2, 3, 0, 3, 1, 4, 2, 2, 1, 2, 3, 3, 3, 4, 1, 0, 0, 0, 2, 0, 4, 4, 2, 1, 0, 2, 3, 3, 2, 3, 3, 0, 4, 4, 4, 0, 4, 0, 2, 3, 2, 1, 2, 1, 4, 4, 0, 0, 2, 2, 4, 2, 1, 1, 1, 3, 3, 4, 4, 2, 2, 1, 1, 4, 4, 4, 0, 1, 0, 2, 3, 0, 4, 0, 0, 0, 3, 2, 2, 3, 3, 2, 4, 4, 2, 3, 4, 4, 1, 2, 2, 4, 3, 3, 2, 3, 1, 3, 0, 1, 1, 0, 3, 4, 3, 0, 2, 4, 4, 4, 3, 1, 3, 3, 4, 0, 1, 0, 2, 0, 2, 1, 2, 1, 4, 0, 4, 4, 0, 3, 1, 3, 3, 4, 1, 4, 4, 0, 4, 2, 2, 1, 1, 3, 4, 1, 1, 0, 4, 4, 2, 2, 1, 2, 0, 2, 1, 2, 1, 4, 1, 1, 1, 3, 0, 0, 1, 1, 1, 2, 4, 1, 4, 2, 3, 4, 3, 0, 3, 4, 0, 1, 0, 1, 1, 4, 4, 0, 1, 0, 1, 1, 4, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 3, 1, 1, 1, 3, 1, 0, 1, 4, 1, 2, 0, 3, 1, 0, 2, 3, 4, 0, 4, 1, 2, 3, 0, 3, 2, 2, 3, 1, 1, 4, 0, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 4, 3, 0, 3, 3, 4, 2, 0, 0, 2, 3, 2, 1, 2, 2, 0, 1, 3, 2, 1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 4, 3, 3, 0, 3, 4, 2, 4, 1, 4, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 0, 2, 2, 1, 4, 3, 0, 1, 3, 2, 2, 1, 4, 2, 4, 2, 0, 1, 3, 3, 1, 0, 2, 2, 3, 1, 2, 0, 3, 0, 4, 3, 2, 0, 0, 0, 4, 0, 2, 3, 4, 3, 0, 0, 3, 0]
pubkeycol493 = [2, 4, 0, 2, 0, 0, 3, 1, 1, 3, 4, 4, 2, 2, 4, 4, 4, 2, 0, 3, 4, 3, 3, 2, 0, 4, 0, 1, 3, 4, 4, 3, 3, 3, 4, 0, 0, 4, 1, 1, 3, 1, 0, 3, 3, 1, 1, 3, 4, 0, 2, 1, 4, 1, 0, 4, 1, 4, 0, 2, 1, 2, 0, 1, 3, 4, 4, 0, 3, 1, 2, 2, 1, 2, 0, 2, 0, 2, 3, 1, 2, 1, 1, 0, 1, 0, 3, 2, 2, 3, 2, 2, 0, 0, 2, 2, 4, 2, 2, 2, 1, 3, 4, 1, 3, 2, 1, 1, 4, 1, 4, 0, 3, 4, 4, 2, 1, 4, 2, 0, 2, 0, 1, 2, 2, 0, 4, 3, 1, 1, 2, 4, 1, 4, 4, 3, 4, 0, 4, 4, 4, 4, 0, 0, 0, 3, 0, 4, 3, 2, 0, 4, 3, 4, 2, 3, 0, 1, 4, 0, 2, 3, 0, 2, 2, 2, 4, 4, 4, 2, 4, 2, 3, 0, 4, 2, 0, 1, 1, 4, 2, 4, 2, 2, 3, 3, 0, 2, 2, 4, 2, 2, 4, 3, 0, 2, 3, 2, 2, 2, 4, 0, 0, 2, 4, 2, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1, 1, 4, 2, 2, 0, 2, 4, 0, 0, 1, 3, 3, 2, 2, 4, 0, 1, 3, 2, 3, 0, 1, 3, 1, 0, 3, 4, 2, 0, 2, 0, 2, 3, 0, 3, 4, 0, 4, 0, 2, 1, 1, 2, 0, 2, 0, 0, 4, 2, 0, 1, 4, 4, 1, 3, 1, 1, 3, 4, 1, 3, 4, 0, 4, 0, 1, 0, 2, 0, 2, 2, 0, 2, 4, 2, 1, 2, 3, 4, 1, 4, 4, 2, 3, 4, 4, 1, 1, 0, 2, 2, 3, 0, 4, 4, 1, 3, 4, 2, 4, 4, 0, 3, 2, 2, 2, 1, 4, 0, 0, 0, 4, 1, 3, 2, 1, 0, 0, 1, 1, 4, 4, 0, 2, 3, 0, 0, 3, 1, 4, 1, 3, 1, 2, 1, 4, 2, 3, 0, 3, 3, 2, 0, 2, 2, 1, 4, 2, 0, 0, 1, 1, 4, 3, 3, 4, 2, 0, 3, 3, 0, 1, 4, 4, 3, 0, 4, 4, 3, 4, 2, 1, 2, 2, 0, 4, 0, 4, 1, 1, 2, 3, 2, 2]
pubkeycol494 = [1, 0, 2, 4, 2, 0, 2, 0, 0, 3, 4, 0, 2, 0, 3, 4, 2, 3, 2, 3, 3, 3, 0, 4, 4, 1, 4, 1, 1, 4, 2, 0, 2, 0, 2, 1, 0, 2, 4, 3, 0, 2, 4, 3, 1, 2, 4, 0, 3, 1, 2, 0, 0, 1, 2, 4, 2, 2, 3, 1, 1, 0, 4, 0, 4, 1, 2, 0, 0, 4, 2, 2, 0, 2, 4, 1, 2, 4, 4, 4, 1, 0, 2, 4, 3, 0, 2, 0, 2, 4, 0, 1, 0, 2, 4, 0, 3, 3, 4, 3, 3, 4, 4, 4, 3, 0, 1, 0, 1, 1, 0, 3, 0, 1, 0, 0, 4, 0, 2, 1, 3, 1, 4, 0, 2, 0, 4, 3, 3, 3, 3, 2, 2, 3, 2, 4, 4, 3, 4, 4, 0, 0, 1, 4, 1, 3, 4, 3, 2, 4, 2, 4, 0, 1, 1, 4, 3, 3, 4, 2, 4, 3, 2, 1, 0, 2, 0, 3, 1, 1, 0, 4, 2, 1, 4, 2, 4, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 3, 0, 3, 4, 4, 3, 3, 3, 1, 2, 4, 4, 3, 1, 4, 1, 1, 0, 1, 2, 3, 2, 2, 1, 2, 1, 3, 4, 3, 2, 3, 3, 2, 2, 1, 2, 1, 4, 1, 2, 2, 4, 0, 3, 4, 3, 3, 0, 3, 4, 1, 1, 2, 2, 1, 3, 4, 3, 1, 1, 3, 3, 1, 0, 2, 3, 0, 3, 0, 2, 3, 3, 0, 2, 4, 0, 3, 3, 4, 0, 2, 1, 3, 4, 4, 2, 4, 3, 0, 0, 3, 4, 1, 3, 4, 1, 2, 3, 4, 0, 4, 2, 0, 2, 0, 4, 2, 4, 4, 4, 1, 2, 1, 2, 4, 1, 2, 4, 0, 4, 0, 0, 0, 4, 3, 3, 3, 0, 0, 1, 1, 3, 2, 0, 4, 2, 1, 3, 4, 1, 4, 4, 1, 1, 0, 2, 2, 4, 1, 4, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 4, 1, 4, 3, 2, 2, 0, 4, 2, 3, 2, 0, 4, 1, 1, 1, 2, 3, 0, 0, 2, 0, 0, 2, 3, 0, 0, 1, 1, 1, 2, 1, 4, 4, 2, 0, 4, 3, 2, 1, 3, 4, 0, 2, 3, 0, 3, 1, 1, 2, 2, 1, 1]
pubkeycol495 = [4, 0, 0, 0, 4, 0, 3, 1, 2, 4, 3, 2, 0, 2, 2, 3, 4, 2, 0, 4, 1, 4, 2, 4, 4, 2, 0, 0, 0, 4, 3, 1, 4, 4, 4, 2, 1, 2, 3, 3, 4, 0, 2, 2, 4, 2, 1, 3, 3, 2, 3, 2, 0, 1, 4, 0, 2, 4, 4, 0, 3, 3, 1, 4, 1, 1, 2, 4, 4, 3, 1, 4, 0, 2, 0, 1, 3, 2, 0, 4, 1, 1, 4, 3, 1, 0, 3, 3, 2, 3, 4, 0, 3, 4, 1, 1, 3, 2, 2, 0, 2, 2, 0, 1, 2, 3, 4, 3, 4, 0, 1, 1, 1, 0, 3, 3, 1, 2, 3, 1, 1, 1, 4, 3, 0, 0, 3, 4, 3, 1, 0, 3, 3, 4, 4, 3, 3, 3, 4, 3, 0, 0, 3, 0, 2, 0, 0, 4, 3, 0, 2, 4, 1, 1, 4, 2, 3, 1, 2, 0, 3, 4, 4, 0, 3, 3, 4, 2, 0, 4, 4, 2, 3, 1, 0, 4, 3, 1, 2, 3, 1, 2, 3, 3, 4, 4, 2, 4, 2, 2, 3, 2, 4, 2, 0, 2, 2, 4, 0, 1, 4, 0, 0, 3, 1, 3, 0, 3, 1, 3, 1, 1, 4, 2, 2, 2, 3, 2, 3, 1, 0, 2, 4, 1, 0, 1, 4, 3, 4, 1, 2, 1, 0, 4, 0, 4, 0, 4, 0, 1, 0, 4, 4, 3, 4, 4, 0, 3, 4, 4, 1, 0, 1, 3, 0, 0, 0, 2, 3, 3, 2, 3, 4, 4, 0, 3, 0, 2, 3, 4, 1, 2, 0, 0, 1, 4, 4, 0, 4, 2, 1, 1, 1, 3, 0, 0, 0, 1, 2, 1, 4, 3, 1, 0, 1, 0, 4, 1, 4, 4, 0, 1, 1, 3, 2, 0, 0, 1, 4, 4, 3, 0, 2, 4, 0, 3, 4, 4, 0, 2, 2, 1, 2, 4, 1, 3, 1, 1, 2, 2, 4, 0, 1, 4, 0, 0, 4, 1, 0, 3, 0, 2, 2, 0, 2, 4, 3, 2, 0, 1, 4, 2, 1, 4, 2, 2, 2, 0, 3, 1, 1, 0, 0, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 4, 2, 3, 4, 3, 3, 1, 1, 3, 3, 4, 4, 0, 3, 1, 3, 2]
pubkeycol496 = [3, 1, 2, 0, 3, 0, 3, 3, 4, 0, 0, 1, 4, 4, 1, 0, 3, 0, 0, 2, 2, 1, 4, 2, 3, 3, 2, 0, 1, 4, 4, 2, 0, 2, 1, 3, 2, 1, 1, 1, 4, 2, 1, 3, 0, 2, 3, 1, 2, 1, 4, 3, 3, 0, 1, 1, 3, 2, 0, 2, 2, 1, 3, 2, 0, 2, 0, 1, 1, 0, 4, 2, 2, 4, 0, 4, 2, 0, 3, 0, 1, 4, 4, 0, 2, 2, 0, 1, 1, 4, 2, 2, 2, 2, 4, 1, 0, 0, 4, 0, 3, 2, 1, 3, 3, 0, 3, 3, 4, 3, 0, 2, 1, 1, 3, 0, 2, 2, 3, 2, 1, 4, 4, 3, 1, 4, 3, 2, 3, 4, 0, 2, 1, 0, 4, 1, 4, 0, 1, 1, 0, 2, 1, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 4, 4, 2, 3, 2, 2, 4, 1, 3, 0, 1, 3, 1, 1, 2, 0, 4, 2, 0, 3, 4, 3, 3, 2, 0, 1, 0, 2, 1, 4, 4, 1, 4, 3, 3, 2, 3, 2, 1, 0, 0, 4, 4, 1, 4, 3, 4, 4, 3, 0, 3, 3, 2, 0, 4, 0, 3, 3, 2, 3, 2, 3, 0, 3, 0, 3, 0, 4, 0, 4, 1, 2, 0, 2, 0, 4, 1, 1, 2, 3, 2, 0, 0, 4, 1, 3, 1, 3, 2, 0, 4, 0, 0, 0, 1, 3, 1, 0, 0, 3, 0, 0, 4, 4, 4, 4, 0, 4, 4, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 4, 1, 1, 4, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 3, 3, 2, 4, 1, 3, 2, 1, 1, 3, 2, 1, 1, 1, 2, 3, 0, 4, 0, 2, 2, 3, 0, 0, 3, 4, 1, 3, 2, 3, 0, 1, 1, 3, 0, 2, 4, 1, 0, 2, 1, 1, 4, 4, 2, 2, 2, 3, 4, 4, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 3, 4, 2, 4, 2, 0, 4, 1, 0, 4, 1, 3, 2, 4, 0, 2, 2, 0, 0, 3, 2, 3, 1, 0, 0, 3, 4, 3, 2, 1, 0, 2, 1, 1, 0, 4, 2, 4, 1, 4, 1, 4, 0, 4, 2, 2, 3, 0, 2, 4, 3]
pubkeycol497 = [4, 4, 2, 4, 3, 0, 0, 1, 3, 0, 2, 4, 2, 4, 4, 3, 0, 1, 4, 3, 4, 3, 4, 2, 1, 1, 3, 0, 4, 0, 1, 0, 0, 0, 3, 2, 4, 0, 1, 2, 1, 0, 2, 3, 3, 0, 3, 1, 3, 0, 0, 2, 2, 3, 2, 1, 0, 4, 4, 4, 1, 0, 4, 2, 3, 0, 3, 4, 4, 4, 4, 0, 4, 3, 0, 4, 0, 0, 3, 3, 3, 1, 0, 2, 4, 2, 2, 4, 1, 4, 3, 3, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 4, 4, 4, 3, 4, 1, 4, 0, 4, 4, 2, 4, 3, 1, 3, 0, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 4, 3, 1, 3, 1, 1, 3, 4, 1, 0, 3, 2, 2, 3, 4, 4, 0, 4, 1, 4, 3, 1, 3, 0, 3, 0, 3, 1, 3, 3, 0, 3, 2, 0, 3, 2, 3, 4, 3, 0, 1, 3, 0, 0, 3, 3, 4, 3, 0, 1, 2, 2, 3, 0, 1, 2, 1, 0, 1, 1, 1, 3, 4, 2, 4, 3, 3, 4, 3, 4, 4, 2, 1, 2, 3, 1, 2, 3, 1, 2, 2, 1, 2, 2, 4, 0, 3, 4, 4, 2, 0, 3, 2, 2, 3, 4, 4, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 4, 3, 3, 2, 3, 4, 1, 3, 1, 0, 4, 3, 1, 4, 1, 2, 2, 2, 4, 1, 4, 4, 2, 2, 3, 4, 2, 1, 3, 0, 4, 1, 1, 4, 0, 4, 0, 1, 4, 3, 1, 4, 1, 3, 1, 4, 3, 2, 0, 4, 2, 2, 1, 2, 1, 0, 0, 4, 3, 4, 3, 4, 3, 2, 4, 0, 4, 2, 2, 2, 2, 0, 2, 0, 1, 3, 0, 2, 3, 2, 2, 2, 1, 3, 3, 0, 4, 0, 0, 3, 4, 3, 3, 2, 4, 4, 3, 1, 0, 4, 0, 0, 0, 3, 3, 2, 4, 3, 2, 4, 2, 2, 4, 1, 0, 1, 2, 1, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 2, 0, 3, 4, 3, 1, 1, 1, 2, 4, 3, 2, 1, 0, 3, 2, 3, 3, 1, 4, 0, 4, 4, 1, 0, 2, 4, 3, 3, 1, 0, 3]
pubkeycol498 = [1, 2, 3, 1, 4, 2, 0, 3, 0, 2, 4, 1, 4, 0, 0, 1, 1, 3, 1, 3, 3, 3, 3, 0, 1, 2, 3, 2, 0, 1, 2, 2, 0, 1, 3, 1, 4, 0, 3, 1, 1, 4, 0, 0, 1, 1, 0, 3, 2, 1, 4, 3, 1, 1, 3, 1, 4, 3, 1, 3, 2, 0, 4, 2, 1, 3, 1, 0, 2, 3, 1, 4, 0, 0, 2, 4, 4, 0, 1, 3, 0, 1, 4, 1, 3, 3, 4, 3, 1, 1, 0, 4, 3, 1, 4, 4, 3, 4, 1, 3, 0, 0, 4, 0, 1, 0, 4, 4, 4, 4, 1, 4, 4, 1, 2, 2, 3, 1, 4, 3, 0, 4, 3, 2, 1, 1, 4, 1, 1, 4, 0, 4, 3, 2, 0, 4, 0, 3, 1, 4, 3, 3, 2, 0, 1, 4, 3, 2, 0, 1, 3, 0, 4, 3, 2, 2, 0, 3, 0, 0, 4, 3, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 4, 4, 4, 4, 2, 0, 0, 1, 0, 3, 3, 2, 0, 1, 2, 4, 4, 2, 4, 3, 1, 0, 1, 1, 2, 1, 3, 4, 1, 3, 2, 2, 0, 2, 0, 0, 1, 4, 4, 0, 0, 2, 0, 0, 3, 3, 4, 2, 0, 4, 4, 1, 2, 3, 0, 3, 3, 3, 1, 0, 2, 0, 2, 2, 4, 4, 4, 2, 4, 4, 4, 3, 4, 1, 3, 4, 4, 2, 3, 4, 4, 4, 1, 1, 0, 3, 3, 4, 2, 2, 2, 3, 4, 4, 4, 3, 1, 4, 4, 4, 4, 0, 1, 3, 3, 2, 2, 4, 0, 3, 4, 3, 3, 0, 2, 3, 2, 2, 0, 0, 4, 3, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 3, 2, 0, 0, 1, 0, 4, 2, 0, 2, 3, 0, 1, 1, 3, 3, 3, 2, 0, 2, 1, 4, 0, 3, 2, 0, 0, 2, 1, 0, 4, 3, 0, 2, 4, 1, 4, 1, 0, 4, 1, 3, 3, 0, 4, 1, 2, 1, 0, 2, 4, 4, 3, 1, 2, 0, 1, 1, 3, 4, 0, 2, 4, 3, 0, 2, 0, 0, 0, 1, 0, 0, 0, 3, 0, 3, 4, 4, 1, 1, 4, 1, 3, 1, 0, 0, 4, 2, 1, 0, 4, 0, 4, 1, 0]
pubkeycol499 = [2, 2, 4, 2, 3, 1, 0, 1, 4, 4, 3, 4, 1, 4, 3, 1, 1, 4, 1, 1, 0, 2, 1, 4, 4, 3, 4, 0, 3, 4, 1, 4, 0, 4, 1, 3, 0, 3, 3, 3, 1, 2, 0, 1, 2, 3, 3, 2, 0, 3, 3, 2, 0, 2, 3, 0, 4, 0, 1, 0, 3, 4, 3, 1, 4, 1, 0, 4, 1, 2, 3, 2, 0, 1, 0, 2, 2, 4, 4, 0, 0, 1, 4, 4, 1, 0, 4, 1, 1, 1, 2, 2, 3, 0, 4, 3, 4, 4, 2, 3, 4, 0, 1, 1, 3, 3, 4, 4, 0, 1, 1, 0, 2, 1, 0, 1, 2, 4, 4, 3, 4, 4, 3, 3, 4, 3, 4, 3, 3, 2, 4, 1, 2, 4, 0, 0, 2, 4, 2, 2, 4, 1, 3, 1, 4, 1, 4, 1, 1, 4, 3, 4, 3, 3, 0, 3, 4, 4, 3, 1, 0, 3, 4, 0, 1, 4, 2, 1, 0, 2, 2, 3, 2, 0, 0, 4, 4, 0, 4, 1, 4, 1, 1, 4, 2, 3, 1, 0, 0, 1, 3, 0, 2, 2, 2, 3, 0, 4, 0, 4, 4, 2, 3, 1, 0, 1, 4, 1, 1, 4, 2, 3, 4, 0, 3, 1, 1, 2, 2, 4, 0, 4, 1, 0, 1, 0, 4, 2, 0, 3, 4, 0, 2, 1, 3, 1, 3, 2, 0, 2, 3, 3, 1, 2, 0, 3, 0, 0, 0, 2, 3, 0, 3, 2, 1, 0, 2, 3, 1, 3, 0, 3, 0, 3, 2, 1, 2, 2, 1, 3, 2, 4, 0, 2, 3, 4, 2, 2, 3, 3, 4, 3, 2, 3, 1, 1, 0, 1, 4, 1, 2, 4, 2, 0, 3, 1, 1, 2, 0, 4, 3, 0, 1, 2, 4, 3, 3, 1, 1, 1, 3, 2, 1, 0, 3, 2, 0, 2, 0, 3, 0, 0, 0, 2, 2, 2, 4, 2, 2, 3, 0, 1, 0, 0, 3, 0, 0, 1, 3, 2, 1, 3, 3, 0, 0, 4, 1, 0, 2, 2, 1, 1, 4, 1, 4, 1, 4, 0, 4, 3, 4, 2, 0, 2, 2, 2, 4, 1, 2, 3, 0, 2, 1, 2, 4, 0, 0, 3, 3, 1, 0, 2, 3, 2, 2, 2, 0, 4, 0, 2, 4, 2, 1, 0, 4, 3, 0, 2, 4, 1]
pubkeycol500 = [4, 0, 0, 0, 4, 4, 4, 1, 0, 2, 4, 3, 2, 2, 4, 0, 2, 3, 0, 1, 2, 4, 3, 4, 3, 4, 3, 1, 1, 4, 3, 0, 0, 1, 0, 2, 2, 3, 2, 3, 3, 3, 2, 0, 2, 1, 4, 0, 1, 2, 4, 3, 1, 1, 3, 3, 3, 1, 4, 4, 1, 4, 1, 1, 1, 4, 1, 1, 0, 3, 4, 3, 0, 3, 0, 4, 0, 0, 4, 0, 0, 3, 1, 2, 3, 3, 2, 1, 3, 0, 4, 4, 4, 3, 0, 3, 1, 1, 1, 1, 1, 4, 0, 3, 4, 4, 1, 0, 4, 3, 0, 2, 4, 4, 2, 1, 4, 0, 1, 1, 1, 2, 4, 3, 4, 0, 3, 1, 1, 1, 0, 1, 3, 1, 1, 4, 0, 4, 3, 3, 3, 3, 1, 4, 3, 1, 0, 0, 1, 3, 1, 2, 4, 0, 1, 2, 4, 4, 0, 3, 3, 4, 4, 0, 2, 1, 4, 4, 4, 3, 0, 2, 1, 1, 3, 4, 0, 0, 4, 0, 4, 2, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 2, 1, 3, 2, 3, 0, 0, 2, 3, 3, 0, 2, 3, 0, 4, 1, 0, 1, 0, 4, 3, 4, 1, 0, 4, 4, 2, 0, 0, 4, 2, 3, 0, 3, 0, 1, 4, 4, 1, 3, 0, 2, 0, 1, 4, 1, 2, 1, 1, 4, 1, 3, 3, 1, 1, 4, 4, 4, 3, 2, 1, 1, 4, 4, 2, 4, 3, 1, 2, 4, 4, 0, 3, 1, 0, 0, 1, 2, 0, 3, 3, 2, 1, 2, 3, 4, 4, 0, 2, 4, 1, 3, 0, 3, 4, 4, 1, 3, 0, 0, 2, 0, 2, 2, 0, 3, 0, 1, 0, 1, 0, 1, 4, 2, 4, 3, 3, 1, 0, 0, 2, 0, 1, 4, 0, 1, 0, 4, 2, 3, 0, 2, 1, 3, 2, 3, 3, 1, 2, 1, 4, 0, 2, 2, 0, 4, 0, 0, 3, 3, 0, 0, 0, 2, 3, 1, 2, 0, 2, 4, 1, 2, 0, 2, 1, 3, 1, 0, 4, 0, 0, 4, 3, 2, 2, 0, 4, 4, 4, 0, 2, 2, 3, 1, 2, 4, 4, 3, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 4, 4, 2, 1, 1, 0, 4, 1, 3]
pubkeycol501 = [0, 0, 0, 3, 1, 0, 0, 4, 0, 3, 4, 0, 1, 3, 4, 4, 1, 4, 3, 4, 3, 1, 2, 4, 4, 2, 1, 1, 4, 0, 0, 0, 4, 0, 2, 3, 4, 3, 0, 3, 3, 4, 0, 1, 0, 3, 0, 3, 2, 0, 0, 1, 0, 0, 3, 1, 0, 2, 1, 3, 2, 4, 1, 0, 1, 3, 0, 3, 3, 4, 4, 3, 2, 1, 0, 4, 4, 4, 1, 1, 3, 0, 2, 1, 4, 3, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 4, 4, 2, 1, 2, 3, 1, 1, 2, 0, 4, 0, 3, 2, 0, 4, 1, 3, 2, 0, 3, 4, 0, 0, 4, 2, 0, 0, 1, 2, 0, 4, 2, 0, 1, 3, 1, 3, 0, 4, 1, 1, 3, 0, 3, 2, 3, 0, 4, 1, 1, 0, 4, 4, 0, 1, 2, 0, 1, 3, 0, 1, 2, 3, 0, 2, 1, 4, 3, 1, 4, 2, 0, 2, 2, 4, 3, 3, 0, 3, 0, 4, 2, 0, 4, 1, 0, 2, 2, 3, 2, 0, 2, 3, 2, 3, 1, 3, 3, 4, 2, 2, 4, 2, 0, 4, 3, 4, 4, 2, 3, 0, 3, 4, 1, 2, 4, 2, 0, 1, 1, 3, 4, 4, 4, 1, 1, 1, 2, 4, 1, 2, 2, 4, 1, 3, 0, 0, 3, 1, 3, 0, 3, 3, 3, 3, 0, 3, 3, 2, 4, 1, 0, 1, 4, 4, 2, 3, 4, 3, 4, 3, 4, 2, 3, 0, 3, 4, 4, 2, 2, 0, 0, 0, 1, 3, 3, 2, 1, 4, 4, 0, 3, 0, 0, 1, 1, 3, 3, 3, 0, 4, 0, 1, 0, 3, 2, 3, 2, 1, 1, 0, 1, 0, 4, 2, 3, 2, 4, 0, 3, 2, 0, 4, 4, 4, 2, 2, 1, 4, 0, 2, 1, 1, 1, 0, 2, 2, 2, 4, 1, 4, 1, 0, 2, 1, 4, 4, 4, 3, 3, 4, 1, 3, 2, 0, 4, 2, 1, 1, 2, 0, 3, 0, 1, 1, 3, 2, 1, 1, 2, 2, 0, 1, 1, 3, 1, 3, 0, 0, 3, 4, 4, 1, 0, 4, 1, 2, 4, 4, 4, 3, 1, 1, 3, 4, 1, 2, 0, 3, 1, 1, 0, 3, 3, 4, 1, 0, 0, 2, 3, 4, 0, 4]
pubkeycol502 = [1, 0, 1, 4, 0, 2, 2, 0, 3, 4, 3, 3, 1, 4, 0, 2, 1, 0, 0, 4, 4, 0, 3, 3, 1, 2, 4, 3, 0, 4, 2, 0, 3, 1, 3, 3, 4, 3, 2, 3, 3, 2, 3, 1, 4, 0, 4, 0, 4, 3, 1, 0, 4, 3, 2, 3, 1, 4, 1, 0, 1, 4, 3, 0, 1, 2, 0, 3, 0, 3, 4, 2, 1, 4, 1, 4, 1, 4, 4, 4, 4, 4, 3, 0, 1, 4, 0, 4, 0, 3, 4, 1, 4, 1, 0, 0, 0, 4, 3, 4, 1, 3, 3, 2, 3, 0, 3, 0, 3, 3, 4, 1, 3, 4, 0, 1, 0, 0, 2, 0, 3, 3, 2, 1, 3, 0, 1, 3, 0, 4, 1, 4, 0, 0, 2, 4, 4, 1, 1, 2, 2, 4, 3, 4, 2, 0, 2, 1, 0, 4, 4, 4, 3, 1, 2, 0, 4, 2, 4, 2, 2, 1, 1, 0, 0, 3, 3, 2, 4, 0, 2, 2, 2, 2, 4, 1, 0, 4, 3, 4, 0, 3, 1, 3, 4, 1, 2, 0, 3, 1, 3, 3, 2, 0, 2, 0, 3, 1, 4, 0, 3, 3, 1, 4, 0, 3, 0, 4, 0, 0, 1, 2, 2, 4, 0, 1, 4, 0, 4, 1, 4, 4, 4, 3, 0, 2, 1, 3, 4, 4, 3, 0, 4, 0, 0, 4, 2, 0, 2, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 4, 3, 0, 2, 1, 2, 2, 4, 0, 2, 0, 3, 2, 3, 3, 3, 2, 2, 3, 3, 4, 3, 0, 3, 3, 4, 2, 0, 2, 2, 1, 0, 1, 4, 4, 1, 0, 2, 3, 1, 1, 2, 4, 2, 1, 2, 3, 1, 0, 2, 2, 0, 3, 4, 3, 4, 0, 3, 0, 3, 4, 3, 3, 2, 3, 0, 2, 3, 1, 1, 4, 0, 2, 2, 0, 4, 1, 1, 4, 2, 1, 0, 3, 1, 3, 1, 2, 2, 3, 0, 4, 0, 0, 3, 2, 2, 2, 3, 1, 3, 4, 4, 4, 4, 4, 1, 3, 0, 3, 2, 0, 3, 3, 2, 1, 4, 3, 2, 2, 3, 1, 0, 3, 2, 1, 3, 2, 2, 2, 1, 3, 1, 0, 2, 2, 0, 3, 0, 1, 3, 2, 2, 3, 2, 2, 3, 4, 1, 4, 1]
pubkeycol503 = [1, 2, 4, 3, 3, 0, 1, 4, 3, 2, 1, 4, 4, 0, 4, 0, 1, 4, 1, 4, 3, 2, 0, 4, 4, 4, 2, 4, 4, 4, 3, 1, 2, 3, 0, 1, 0, 0, 3, 0, 3, 0, 2, 4, 0, 1, 2, 2, 4, 3, 3, 0, 2, 2, 2, 0, 2, 0, 4, 4, 3, 1, 1, 3, 1, 0, 3, 4, 3, 3, 0, 1, 4, 4, 4, 2, 2, 3, 3, 3, 2, 0, 3, 1, 0, 4, 3, 4, 0, 4, 0, 1, 3, 2, 0, 1, 0, 3, 4, 2, 1, 4, 3, 3, 4, 0, 4, 1, 1, 3, 2, 0, 3, 2, 4, 4, 3, 3, 3, 1, 0, 2, 0, 4, 3, 2, 3, 4, 4, 3, 2, 0, 4, 3, 0, 2, 3, 0, 3, 4, 4, 4, 3, 1, 0, 1, 1, 1, 0, 3, 3, 2, 0, 3, 1, 2, 3, 1, 2, 1, 1, 0, 3, 1, 2, 3, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 0, 0, 4, 1, 0, 4, 1, 0, 2, 0, 0, 4, 3, 2, 2, 1, 2, 4, 1, 2, 2, 0, 2, 1, 3, 0, 3, 0, 4, 0, 4, 0, 4, 1, 3, 2, 4, 3, 4, 1, 3, 2, 4, 4, 0, 3, 1, 3, 1, 3, 3, 4, 3, 2, 1, 1, 4, 3, 1, 2, 0, 4, 3, 2, 0, 3, 3, 3, 1, 3, 4, 3, 1, 2, 2, 3, 0, 2, 0, 4, 3, 3, 0, 1, 2, 0, 3, 1, 1, 4, 1, 2, 0, 4, 4, 2, 1, 1, 0, 4, 4, 3, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 4, 3, 1, 3, 3, 3, 3, 2, 0, 3, 3, 1, 3, 0, 4, 0, 0, 1, 0, 3, 2, 1, 4, 4, 4, 4, 2, 0, 3, 0, 2, 2, 1, 2, 1, 1, 4, 0, 4, 2, 1, 1, 0, 1, 0, 0, 3, 0, 0, 2, 4, 0, 3, 4, 0, 0, 2, 0, 2, 2, 0, 1, 3, 4, 2, 1, 0, 1, 3, 0, 3, 0, 4, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 4, 0, 2, 4, 0, 0, 1, 0, 0, 4, 2, 1, 2, 4, 2, 4, 4, 2, 1, 2, 1, 2, 0, 4]
pubkeycol504 = [0, 4, 4, 2, 4, 2, 4, 4, 3, 3, 3, 4, 2, 2, 0, 4, 0, 3, 3, 1, 0, 2, 3, 0, 2, 3, 2, 0, 1, 3, 2, 4, 2, 1, 4, 2, 4, 0, 3, 3, 2, 1, 3, 1, 0, 1, 2, 4, 0, 2, 4, 3, 2, 3, 0, 2, 0, 1, 2, 4, 1, 3, 2, 2, 4, 3, 2, 3, 4, 1, 2, 1, 4, 3, 2, 1, 1, 2, 0, 0, 3, 3, 0, 4, 1, 2, 2, 2, 4, 3, 4, 3, 2, 1, 4, 4, 0, 0, 3, 3, 4, 0, 3, 2, 4, 0, 0, 2, 2, 2, 2, 0, 1, 1, 3, 4, 4, 4, 2, 2, 2, 0, 3, 2, 1, 1, 1, 3, 2, 4, 2, 1, 1, 4, 2, 2, 0, 1, 3, 3, 4, 3, 1, 0, 1, 1, 3, 4, 4, 2, 2, 3, 2, 1, 1, 3, 2, 4, 3, 4, 2, 3, 2, 2, 0, 1, 2, 3, 1, 4, 2, 3, 3, 4, 4, 2, 3, 1, 1, 0, 4, 1, 2, 0, 1, 1, 3, 1, 4, 0, 4, 1, 1, 4, 2, 4, 2, 3, 4, 1, 1, 1, 1, 4, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 3, 1, 2, 1, 2, 2, 1, 3, 3, 3, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 3, 1, 2, 1, 3, 3, 2, 2, 4, 3, 4, 1, 4, 0, 2, 3, 2, 3, 2, 4, 1, 2, 1, 1, 0, 2, 0, 4, 0, 1, 1, 1, 2, 1, 1, 2, 0, 4, 3, 2, 0, 0, 2, 2, 2, 0, 2, 3, 2, 1, 0, 2, 0, 0, 1, 4, 3, 4, 0, 2, 0, 2, 1, 2, 4, 4, 2, 1, 3, 4, 4, 0, 0, 0, 3, 2, 4, 1, 2, 1, 1, 3, 2, 2, 2, 2, 4, 1, 2, 4, 0, 3, 2, 0, 4, 2, 3, 2, 3, 0, 1, 1, 2, 4, 1, 4, 4, 3, 2, 0, 0, 0, 1, 1, 0, 4, 4, 4, 2, 1, 1, 0, 0, 4, 4, 1, 3, 2, 4, 1, 4, 4, 1, 3, 0, 3, 3, 3, 3, 3, 1, 2, 1, 2, 0, 3, 3, 1, 1, 1, 2, 3, 2, 2, 0, 1, 2, 0, 1, 1, 4]
pubkeycol505 = [1, 2, 3, 0, 3, 3, 3, 1, 0, 2, 0, 1, 3, 3, 3, 2, 0, 4, 4, 3, 4, 1, 2, 0, 2, 4, 4, 4, 2, 2, 0, 3, 2, 4, 0, 4, 2, 2, 2, 1, 4, 0, 4, 3, 2, 3, 4, 3, 3, 0, 0, 2, 1, 0, 3, 4, 2, 3, 3, 3, 2, 4, 4, 0, 1, 1, 0, 0, 4, 1, 0, 3, 2, 3, 2, 1, 2, 4, 1, 1, 0, 3, 3, 2, 3, 1, 4, 1, 2, 2, 3, 3, 4, 0, 2, 0, 2, 2, 3, 0, 4, 4, 0, 3, 0, 2, 2, 2, 3, 1, 2, 3, 2, 1, 0, 3, 1, 2, 4, 4, 4, 0, 3, 0, 2, 1, 4, 0, 4, 2, 1, 4, 4, 3, 3, 3, 3, 3, 0, 0, 3, 3, 1, 3, 2, 1, 4, 0, 4, 1, 1, 1, 4, 2, 2, 4, 1, 0, 2, 2, 3, 0, 1, 1, 4, 2, 4, 3, 4, 0, 4, 2, 1, 1, 2, 3, 0, 1, 3, 1, 2, 0, 2, 4, 3, 3, 1, 4, 0, 2, 2, 4, 1, 1, 1, 0, 0, 4, 3, 2, 4, 0, 0, 0, 4, 1, 2, 3, 1, 4, 0, 3, 3, 3, 2, 4, 3, 2, 4, 3, 4, 0, 0, 0, 3, 1, 3, 4, 1, 0, 4, 3, 0, 2, 1, 2, 4, 4, 3, 4, 2, 3, 1, 0, 4, 1, 2, 4, 2, 0, 2, 3, 2, 1, 4, 0, 2, 0, 4, 1, 3, 2, 2, 1, 3, 1, 1, 1, 3, 1, 1, 4, 1, 4, 4, 2, 4, 2, 2, 0, 2, 4, 2, 1, 3, 4, 4, 0, 3, 1, 0, 3, 2, 1, 2, 4, 2, 0, 0, 4, 4, 2, 4, 3, 3, 4, 4, 2, 3, 4, 4, 3, 0, 0, 2, 1, 4, 1, 3, 3, 4, 3, 3, 0, 4, 0, 4, 3, 3, 1, 2, 2, 1, 2, 1, 4, 2, 0, 3, 0, 0, 0, 1, 4, 3, 1, 0, 0, 0, 3, 1, 2, 4, 2, 0, 1, 3, 4, 3, 2, 2, 4, 3, 0, 2, 1, 4, 4, 3, 1, 3, 3, 2, 1, 0, 2, 0, 2, 3, 0, 0, 1, 4, 3, 1, 2, 2, 2, 0, 4, 1, 0, 1, 3, 3, 4, 3, 1, 4, 3]
pubkeycol506 = [1, 2, 3, 4, 0, 0, 0, 0, 0, 2, 0, 4, 2, 4, 1, 1, 1, 0, 2, 4, 3, 3, 0, 2, 0, 2, 2, 4, 0, 3, 0, 4, 2, 0, 1, 4, 3, 1, 1, 4, 2, 1, 0, 3, 2, 4, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 0, 1, 0, 2, 2, 1, 2, 4, 0, 0, 2, 2, 2, 2, 1, 3, 4, 0, 3, 2, 1, 1, 3, 2, 2, 1, 0, 0, 3, 1, 1, 1, 1, 4, 4, 1, 4, 4, 3, 1, 1, 0, 1, 1, 4, 0, 4, 0, 2, 1, 0, 1, 4, 4, 4, 1, 0, 4, 3, 4, 0, 3, 4, 4, 3, 2, 2, 3, 4, 1, 2, 2, 4, 0, 3, 1, 3, 4, 1, 4, 4, 1, 0, 4, 4, 0, 2, 4, 2, 4, 3, 1, 0, 3, 3, 1, 1, 3, 0, 3, 4, 3, 4, 0, 3, 4, 4, 0, 2, 1, 3, 3, 3, 4, 4, 4, 2, 0, 1, 0, 0, 2, 0, 3, 3, 1, 0, 3, 1, 0, 4, 4, 3, 2, 0, 1, 1, 4, 3, 4, 4, 3, 4, 3, 4, 2, 4, 3, 1, 4, 3, 0, 3, 1, 2, 3, 2, 0, 1, 1, 4, 0, 1, 0, 0, 4, 0, 3, 3, 1, 1, 3, 2, 4, 3, 2, 2, 0, 0, 3, 4, 4, 3, 1, 2, 4, 3, 2, 3, 3, 4, 4, 1, 3, 2, 4, 4, 1, 2, 4, 3, 4, 4, 2, 3, 1, 1, 2, 0, 0, 2, 3, 0, 3, 4, 0, 0, 0, 3, 0, 0, 1, 3, 3, 2, 0, 2, 4, 2, 4, 2, 3, 1, 2, 4, 1, 1, 0, 3, 1, 1, 3, 0, 1, 3, 1, 1, 4, 0, 2, 4, 4, 4, 1, 2, 3, 0, 1, 4, 3, 1, 4, 0, 1, 4, 4, 1, 3, 0, 2, 4, 1, 3, 1, 0, 1, 0, 2, 2, 0, 0, 3, 3, 2, 1, 1, 0, 3, 3, 0, 0, 4, 1, 0, 0, 0, 0, 4, 0, 3, 4, 0, 4, 2, 1, 4, 1, 3, 1, 4, 3, 2, 0, 2, 3, 4, 1, 0, 3, 3, 4, 1, 3, 3, 4, 4, 0, 1, 2, 3, 2, 4, 4, 1, 4, 4, 0, 0, 3, 3, 4]
pubkeycol507 = [4, 3, 4, 2, 1, 0, 4, 4, 3, 2, 0, 4, 0, 1, 4, 0, 3, 0, 2, 4, 2, 0, 3, 1, 3, 0, 4, 1, 0, 3, 1, 1, 0, 1, 0, 1, 3, 0, 0, 3, 2, 1, 3, 2, 3, 2, 2, 2, 4, 2, 2, 4, 4, 0, 0, 4, 3, 1, 1, 4, 1, 3, 1, 2, 4, 2, 1, 0, 0, 4, 3, 4, 3, 2, 4, 1, 2, 0, 1, 3, 4, 1, 0, 2, 4, 3, 3, 4, 4, 2, 2, 4, 2, 1, 4, 2, 2, 0, 4, 2, 4, 3, 0, 2, 1, 1, 0, 2, 3, 3, 0, 1, 2, 0, 4, 3, 0, 4, 0, 0, 2, 0, 4, 1, 3, 2, 3, 4, 0, 0, 4, 0, 0, 0, 4, 2, 0, 0, 0, 1, 4, 1, 1, 2, 0, 4, 3, 0, 0, 1, 2, 1, 2, 1, 4, 3, 4, 2, 3, 3, 0, 4, 3, 1, 2, 4, 1, 3, 3, 2, 4, 2, 1, 1, 3, 1, 4, 2, 3, 2, 2, 1, 0, 0, 3, 1, 0, 3, 0, 0, 3, 3, 1, 3, 3, 3, 1, 3, 0, 0, 3, 4, 0, 4, 4, 1, 4, 2, 3, 4, 1, 1, 3, 3, 2, 2, 2, 0, 0, 0, 4, 2, 4, 2, 4, 3, 0, 0, 4, 1, 1, 0, 0, 2, 4, 1, 3, 1, 2, 4, 2, 2, 4, 2, 4, 4, 0, 0, 0, 4, 2, 0, 2, 2, 0, 1, 2, 3, 4, 2, 1, 4, 1, 4, 1, 3, 0, 0, 0, 3, 0, 2, 2, 4, 4, 3, 2, 1, 2, 2, 0, 0, 2, 4, 3, 3, 3, 1, 4, 0, 2, 2, 1, 4, 3, 4, 1, 4, 2, 3, 3, 4, 0, 4, 2, 1, 2, 1, 2, 4, 2, 0, 0, 4, 4, 3, 0, 2, 0, 4, 1, 0, 0, 3, 2, 1, 4, 2, 3, 0, 3, 1, 4, 1, 4, 4, 0, 0, 2, 2, 0, 3, 1, 2, 4, 0, 3, 3, 3, 2, 3, 3, 3, 1, 0, 1, 2, 2, 2, 3, 4, 1, 1, 4, 3, 1, 2, 1, 1, 2, 4, 1, 2, 2, 1, 3, 1, 0, 3, 0, 2, 4, 3, 3, 2, 2, 0, 1, 4, 0, 0, 0, 4, 4, 0, 0, 3, 1, 4, 0]
pubkeycol508 = [4, 4, 4, 1, 0, 0, 4, 0, 2, 4, 4, 0, 4, 1, 0, 3, 1, 0, 3, 2, 4, 1, 3, 1, 1, 4, 1, 2, 2, 3, 4, 0, 4, 0, 1, 2, 2, 4, 2, 3, 4, 1, 4, 3, 0, 4, 2, 3, 1, 2, 3, 0, 1, 3, 3, 2, 0, 2, 3, 3, 2, 2, 4, 0, 0, 3, 3, 0, 2, 3, 3, 2, 4, 3, 1, 1, 1, 3, 3, 1, 1, 1, 2, 4, 0, 1, 1, 0, 3, 1, 1, 4, 0, 3, 0, 2, 0, 3, 2, 2, 3, 0, 2, 3, 0, 0, 0, 2, 0, 1, 2, 4, 1, 2, 0, 3, 3, 4, 0, 1, 4, 1, 2, 2, 4, 0, 4, 1, 3, 0, 1, 4, 1, 3, 4, 1, 3, 1, 4, 3, 1, 2, 4, 0, 0, 3, 2, 0, 3, 3, 3, 4, 2, 3, 0, 1, 0, 1, 2, 1, 2, 1, 0, 4, 2, 2, 2, 0, 4, 0, 2, 2, 4, 0, 3, 0, 0, 3, 4, 3, 4, 0, 1, 4, 3, 3, 2, 1, 4, 4, 1, 0, 1, 0, 0, 1, 4, 1, 1, 1, 3, 0, 3, 4, 2, 3, 0, 2, 2, 4, 1, 0, 2, 2, 1, 2, 1, 3, 3, 0, 2, 4, 1, 3, 4, 4, 4, 3, 1, 4, 0, 1, 1, 2, 4, 4, 2, 0, 3, 0, 4, 4, 2, 3, 0, 4, 0, 1, 0, 2, 4, 4, 2, 2, 3, 1, 2, 3, 1, 4, 3, 0, 1, 4, 2, 2, 0, 1, 4, 4, 0, 2, 4, 0, 3, 1, 1, 0, 4, 4, 4, 1, 0, 2, 0, 4, 4, 4, 0, 0, 1, 3, 3, 2, 2, 0, 2, 0, 1, 1, 1, 4, 4, 4, 4, 0, 0, 4, 4, 1, 1, 0, 1, 1, 3, 2, 3, 4, 2, 2, 4, 1, 4, 2, 0, 1, 4, 2, 1, 4, 0, 0, 2, 1, 2, 3, 1, 1, 4, 0, 1, 1, 0, 0, 0, 2, 3, 2, 1, 2, 2, 0, 3, 3, 0, 4, 3, 3, 0, 3, 2, 2, 4, 0, 1, 0, 0, 3, 2, 0, 1, 4, 2, 1, 3, 2, 3, 0, 4, 3, 0, 3, 0, 0, 4, 0, 3, 4, 3, 3, 1, 1, 1, 2, 4, 4, 2, 4, 4, 4]
pubkeycol509 = [2, 4, 2, 0, 1, 1, 2, 3, 0, 2, 0, 3, 3, 3, 1, 0, 1, 1, 4, 0, 3, 3, 4, 4, 3, 4, 1, 1, 4, 1, 2, 4, 3, 4, 0, 4, 0, 2, 2, 3, 3, 0, 2, 3, 0, 2, 4, 4, 2, 4, 2, 4, 1, 3, 1, 2, 3, 1, 1, 0, 2, 4, 2, 4, 2, 1, 2, 0, 0, 2, 4, 3, 2, 1, 0, 2, 2, 3, 3, 4, 3, 4, 1, 2, 4, 0, 0, 3, 4, 1, 4, 1, 0, 0, 0, 4, 1, 1, 4, 4, 3, 3, 1, 1, 2, 4, 1, 0, 4, 3, 1, 4, 0, 1, 4, 3, 2, 1, 3, 4, 3, 1, 4, 2, 0, 3, 0, 4, 2, 4, 2, 4, 3, 4, 2, 2, 2, 3, 3, 4, 1, 3, 0, 4, 0, 2, 1, 0, 4, 0, 3, 4, 3, 1, 2, 1, 2, 0, 1, 0, 3, 4, 0, 1, 4, 4, 3, 0, 4, 4, 0, 0, 4, 3, 4, 1, 3, 3, 4, 0, 4, 1, 0, 2, 0, 3, 2, 1, 1, 0, 2, 2, 3, 3, 4, 2, 1, 2, 0, 1, 3, 3, 4, 2, 2, 0, 4, 2, 2, 1, 2, 1, 3, 2, 4, 0, 1, 0, 2, 4, 3, 2, 3, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 1, 3, 4, 2, 2, 1, 4, 4, 4, 3, 3, 1, 2, 3, 0, 0, 4, 1, 4, 2, 1, 0, 3, 1, 1, 3, 4, 4, 1, 1, 4, 0, 2, 3, 4, 0, 0, 0, 3, 3, 0, 0, 2, 1, 3, 2, 3, 2, 4, 1, 0, 2, 0, 3, 0, 2, 4, 1, 3, 2, 4, 3, 4, 0, 1, 3, 3, 0, 0, 0, 3, 0, 4, 2, 0, 4, 0, 4, 0, 1, 1, 2, 2, 0, 3, 2, 2, 2, 3, 4, 2, 3, 2, 4, 2, 0, 0, 4, 3, 3, 4, 4, 4, 2, 1, 1, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 1, 3, 0, 2, 2, 4, 0, 0, 2, 3, 3, 4, 0, 3, 2, 1, 2, 0, 1, 2, 2, 1, 4, 1, 4, 3, 1, 1, 0, 0, 2, 2, 1, 3, 4, 2, 3, 0, 1, 3, 2, 1, 0, 2, 4, 0, 0, 3, 4, 2, 0]
pubkeycol510 = [1, 4, 4, 2, 2, 0, 2, 2, 4, 4, 1, 1, 2, 4, 0, 2, 3, 2, 1, 0, 1, 4, 4, 3, 1, 3, 1, 0, 0, 4, 2, 0, 4, 1, 3, 3, 0, 4, 2, 2, 1, 2, 4, 0, 4, 3, 2, 1, 3, 4, 0, 3, 2, 1, 3, 1, 3, 1, 1, 1, 2, 4, 3, 1, 3, 4, 4, 0, 0, 0, 0, 3, 2, 1, 1, 1, 0, 2, 0, 2, 3, 2, 3, 1, 3, 2, 0, 0, 0, 3, 3, 3, 3, 1, 2, 3, 2, 0, 3, 1, 3, 1, 0, 3, 1, 2, 1, 3, 1, 3, 2, 1, 4, 3, 4, 1, 2, 4, 1, 4, 4, 4, 3, 0, 4, 4, 4, 4, 2, 4, 0, 2, 1, 0, 1, 3, 3, 4, 0, 2, 4, 4, 1, 0, 0, 3, 2, 0, 1, 2, 4, 3, 3, 2, 3, 2, 1, 4, 0, 1, 3, 0, 0, 2, 3, 1, 3, 3, 3, 2, 2, 3, 1, 0, 1, 3, 0, 2, 0, 4, 1, 1, 3, 4, 1, 4, 3, 0, 0, 0, 1, 3, 1, 4, 2, 4, 3, 0, 4, 3, 2, 1, 0, 4, 0, 3, 0, 3, 2, 3, 1, 1, 3, 3, 0, 4, 0, 0, 1, 0, 1, 2, 0, 3, 1, 2, 2, 2, 3, 3, 3, 4, 0, 1, 1, 0, 1, 3, 1, 2, 1, 3, 2, 2, 4, 2, 2, 0, 4, 1, 2, 2, 3, 3, 3, 2, 1, 2, 1, 0, 3, 1, 1, 3, 4, 4, 2, 3, 3, 3, 2, 3, 3, 1, 0, 2, 1, 4, 0, 2, 2, 1, 1, 4, 0, 2, 2, 4, 3, 0, 0, 2, 3, 3, 1, 4, 0, 4, 4, 3, 3, 4, 4, 1, 4, 2, 0, 3, 1, 0, 4, 2, 0, 2, 3, 1, 0, 1, 0, 4, 4, 3, 2, 1, 3, 3, 4, 3, 2, 1, 2, 2, 0, 3, 0, 2, 3, 2, 1, 1, 1, 3, 4, 2, 0, 3, 2, 3, 2, 3, 2, 0, 2, 1, 1, 0, 0, 1, 3, 0, 3, 4, 4, 0, 1, 0, 0, 3, 1, 4, 2, 2, 0, 1, 2, 1, 0, 0, 2, 3, 0, 3, 3, 4, 1, 2, 4, 0, 3, 2, 2, 2, 0, 1, 4, 4, 1, 0, 1, 3]
pubkeycol511 = [4, 4, 4, 3, 3, 0, 2, 0, 4, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 3, 2, 4, 2, 1, 2, 0, 2, 4, 3, 2, 3, 3, 4, 2, 1, 0, 3, 4, 3, 0, 2, 3, 1, 3, 3, 1, 3, 0, 1, 0, 0, 1, 3, 4, 4, 3, 1, 1, 0, 4, 4, 4, 1, 1, 3, 0, 3, 4, 2, 3, 2, 1, 3, 4, 0, 3, 3, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 3, 1, 2, 2, 4, 1, 4, 4, 4, 2, 2, 2, 3, 4, 0, 2, 3, 1, 3, 2, 2, 3, 1, 4, 0, 3, 4, 3, 3, 0, 3, 2, 2, 3, 0, 3, 0, 3, 4, 1, 1, 2, 2, 4, 0, 4, 0, 3, 1, 3, 0, 4, 4, 2, 1, 2, 1, 0, 0, 2, 3, 4, 1, 0, 3, 1, 0, 0, 3, 4, 2, 4, 0, 3, 0, 3, 4, 2, 2, 1, 4, 0, 3, 2, 4, 0, 0, 2, 0, 4, 1, 2, 1, 2, 4, 0, 0, 3, 3, 3, 4, 0, 4, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 1, 3, 1, 0, 3, 0, 1, 1, 0, 2, 4, 3, 2, 2, 1, 2, 3, 4, 3, 4, 2, 4, 0, 4, 4, 3, 3, 3, 3, 2, 1, 0, 2, 2, 3, 3, 3, 0, 3, 0, 2, 2, 1, 2, 2, 0, 4, 4, 3, 4, 2, 1, 3, 0, 2, 4, 0, 2, 2, 1, 3, 4, 0, 2, 3, 4, 1, 0, 0, 2, 0, 4, 4, 2, 3, 2, 3, 3, 2, 1, 4, 2, 0, 4, 0, 3, 0, 0, 1, 4, 0, 1, 3, 1, 1, 2, 2, 3, 4, 1, 3, 1, 4, 0, 4, 4, 0, 3, 1, 2, 4, 4, 4, 0, 0, 4, 3, 0, 0, 3, 4, 2, 0, 0, 1, 0, 1, 1, 2, 3, 3, 2, 3, 4, 4, 3, 1, 0, 2, 0, 0, 0, 2, 0, 4, 1, 1, 3, 4, 3, 2, 2, 4, 3, 4, 2, 1, 0, 1, 3, 1, 3, 0, 4, 4, 4, 2, 2, 2, 2, 4, 3, 0, 3, 4, 0, 1, 0, 2, 0, 3, 4, 0, 2, 3, 2, 3, 1, 1, 3, 3, 2, 0, 3, 0, 2, 1]
pubkeycol512 = [4, 1, 1, 4, 4, 4, 2, 4, 4, 3, 1, 2, 4, 2, 2, 4, 1, 0, 0, 4, 1, 3, 1, 1, 4, 4, 4, 2, 2, 1, 0, 1, 4, 1, 4, 0, 3, 3, 0, 3, 4, 4, 4, 1, 2, 1, 4, 2, 2, 1, 3, 1, 2, 3, 1, 0, 1, 4, 3, 0, 4, 0, 1, 1, 2, 4, 2, 2, 0, 0, 2, 3, 2, 3, 2, 3, 3, 4, 0, 4, 4, 1, 2, 0, 2, 3, 4, 0, 4, 2, 0, 4, 1, 3, 1, 0, 4, 3, 1, 4, 3, 3, 0, 0, 0, 1, 1, 1, 0, 2, 4, 3, 4, 2, 2, 3, 0, 0, 2, 4, 0, 0, 3, 1, 1, 4, 2, 3, 1, 4, 2, 2, 4, 3, 4, 0, 2, 1, 3, 2, 4, 3, 2, 4, 3, 1, 0, 0, 3, 0, 1, 0, 1, 4, 0, 4, 4, 2, 1, 1, 4, 3, 1, 0, 4, 0, 3, 3, 3, 4, 4, 1, 0, 4, 0, 1, 0, 0, 1, 3, 3, 2, 3, 2, 3, 3, 3, 2, 0, 3, 2, 2, 2, 3, 0, 2, 3, 4, 2, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 4, 3, 1, 2, 3, 3, 4, 2, 2, 3, 0, 1, 1, 2, 3, 4, 2, 2, 4, 4, 2, 2, 1, 1, 2, 4, 2, 0, 1, 2, 3, 0, 0, 3, 4, 1, 2, 3, 0, 1, 3, 3, 4, 0, 2, 3, 2, 4, 3, 3, 1, 4, 1, 4, 0, 1, 4, 4, 3, 0, 2, 2, 2, 2, 3, 0, 2, 2, 4, 0, 3, 0, 2, 4, 4, 4, 3, 1, 2, 4, 0, 1, 0, 4, 0, 2, 4, 2, 0, 1, 0, 3, 4, 1, 2, 1, 3, 3, 4, 0, 4, 1, 1, 2, 1, 2, 0, 3, 4, 1, 3, 0, 1, 0, 0, 0, 2, 2, 3, 2, 2, 4, 0, 1, 1, 1, 4, 4, 1, 3, 0, 1, 3, 4, 4, 1, 0, 3, 0, 4, 1, 0, 0, 0, 1, 1, 4, 0, 3, 0, 4, 3, 2, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 2, 3, 0, 2, 2, 4, 3, 0, 0, 2, 4, 2, 2, 0, 2, 1, 2, 1, 1, 2, 4, 4, 2, 3, 1]
pubkeycol513 = [1, 2, 2, 2, 2, 3, 2, 3, 0, 3, 2, 1, 4, 1, 0, 4, 4, 3, 1, 2, 0, 3, 3, 1, 3, 2, 2, 3, 1, 2, 0, 3, 1, 0, 2, 3, 4, 0, 4, 1, 1, 4, 4, 0, 3, 1, 4, 4, 0, 4, 4, 1, 2, 0, 1, 4, 1, 3, 2, 2, 0, 4, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 4, 2, 2, 2, 2, 0, 3, 3, 0, 0, 2, 4, 3, 4, 1, 1, 0, 4, 3, 1, 0, 4, 3, 3, 2, 0, 4, 2, 2, 4, 3, 3, 2, 2, 2, 1, 1, 3, 0, 4, 2, 3, 0, 3, 4, 1, 2, 4, 0, 2, 2, 4, 0, 0, 2, 4, 3, 4, 2, 3, 1, 0, 1, 2, 0, 0, 0, 4, 3, 0, 2, 4, 4, 3, 0, 1, 4, 0, 3, 2, 2, 2, 4, 2, 1, 3, 3, 0, 3, 1, 1, 4, 4, 2, 4, 4, 0, 0, 3, 4, 0, 4, 4, 1, 2, 3, 1, 2, 0, 3, 1, 2, 1, 2, 3, 3, 3, 4, 3, 4, 4, 2, 1, 4, 0, 2, 4, 1, 1, 2, 4, 2, 1, 1, 4, 3, 3, 1, 1, 1, 0, 0, 2, 2, 1, 1, 3, 0, 0, 0, 4, 3, 4, 4, 0, 2, 0, 4, 2, 0, 4, 3, 2, 0, 0, 4, 0, 3, 4, 3, 4, 3, 0, 0, 1, 1, 3, 0, 1, 0, 2, 3, 4, 1, 0, 2, 2, 1, 3, 1, 3, 0, 0, 3, 3, 4, 2, 3, 3, 1, 4, 0, 1, 4, 0, 4, 1, 3, 1, 3, 1, 1, 1, 3, 1, 2, 3, 2, 3, 3, 0, 4, 4, 3, 1, 4, 1, 0, 2, 2, 4, 2, 0, 0, 3, 4, 0, 2, 1, 3, 4, 3, 1, 2, 2, 3, 0, 4, 4, 1, 3, 0, 3, 0, 3, 3, 3, 0, 2, 3, 1, 1, 4, 4, 0, 1, 0, 2, 0, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 0, 2, 4, 1, 2, 0, 2, 1, 2, 4, 0, 0, 4, 4, 0, 4, 4, 0, 2, 2, 1, 2, 2, 3, 0, 1, 2, 1, 3, 4, 3, 4, 1, 2, 3, 2, 2, 0, 4, 4, 2, 2]
pubkeycol514 = [0, 4, 3, 4, 1, 2, 2, 0, 0, 1, 1, 3, 0, 4, 1, 2, 2, 0, 1, 1, 4, 1, 2, 3, 2, 4, 2, 4, 0, 4, 1, 0, 0, 3, 3, 0, 0, 4, 4, 4, 1, 2, 2, 1, 2, 3, 3, 4, 0, 2, 4, 3, 1, 4, 1, 3, 0, 1, 3, 0, 1, 2, 2, 1, 2, 1, 3, 1, 3, 1, 1, 0, 1, 3, 3, 0, 0, 2, 3, 3, 4, 0, 0, 0, 1, 2, 4, 1, 1, 0, 3, 3, 3, 3, 2, 1, 3, 3, 4, 4, 1, 4, 0, 2, 0, 3, 1, 0, 0, 4, 0, 3, 4, 0, 2, 1, 2, 0, 3, 3, 1, 3, 3, 4, 0, 4, 0, 0, 1, 0, 4, 3, 1, 2, 1, 3, 2, 1, 3, 4, 4, 2, 1, 2, 1, 2, 3, 4, 0, 0, 3, 0, 3, 0, 4, 2, 3, 2, 4, 3, 3, 3, 2, 1, 1, 0, 1, 3, 3, 3, 4, 3, 2, 2, 2, 1, 2, 3, 2, 2, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 1, 1, 1, 4, 1, 3, 3, 4, 1, 3, 0, 1, 1, 3, 0, 4, 1, 4, 1, 0, 3, 2, 1, 2, 2, 3, 3, 2, 0, 1, 0, 1, 1, 2, 4, 1, 4, 4, 0, 3, 4, 3, 0, 0, 0, 1, 2, 2, 4, 3, 3, 2, 2, 1, 2, 0, 2, 2, 0, 3, 4, 3, 3, 0, 2, 1, 3, 0, 3, 4, 4, 0, 1, 2, 2, 0, 3, 1, 4, 1, 1, 0, 2, 2, 1, 0, 1, 3, 3, 1, 1, 2, 2, 4, 3, 3, 0, 0, 3, 4, 2, 4, 4, 3, 1, 0, 3, 1, 2, 1, 1, 3, 2, 3, 3, 1, 4, 3, 1, 1, 4, 4, 4, 2, 1, 1, 1, 4, 1, 2, 4, 3, 0, 4, 0, 2, 0, 1, 2, 4, 3, 1, 1, 0, 4, 1, 1, 4, 2, 3, 1, 0, 2, 3, 2, 3, 4, 2, 0, 4, 2, 4, 4, 0, 2, 3, 4, 0, 0, 2, 0, 4, 4, 4, 3, 4, 0, 1, 3, 4, 4, 0, 2, 1, 3, 0, 1, 2, 3, 0, 0, 3, 0, 0, 0, 4, 2, 2, 4, 1, 3, 1, 4, 1, 3, 2, 4, 3, 3]
pubkeycol515 = [2, 2, 1, 2, 3, 0, 0, 1, 3, 3, 2, 3, 0, 2, 1, 0, 2, 4, 0, 1, 4, 3, 1, 1, 0, 2, 4, 3, 3, 0, 1, 0, 1, 4, 3, 2, 0, 0, 1, 0, 1, 0, 4, 3, 3, 3, 1, 3, 2, 0, 2, 4, 1, 4, 1, 4, 0, 1, 2, 4, 4, 1, 4, 0, 2, 3, 4, 1, 0, 4, 4, 0, 2, 0, 3, 0, 3, 2, 4, 2, 3, 1, 3, 1, 4, 1, 4, 1, 4, 0, 3, 1, 1, 3, 1, 0, 0, 0, 1, 3, 4, 0, 2, 2, 4, 0, 2, 2, 3, 3, 0, 2, 4, 3, 2, 4, 4, 4, 3, 1, 0, 4, 3, 4, 0, 4, 3, 2, 3, 4, 0, 2, 0, 4, 1, 2, 2, 4, 4, 2, 4, 3, 1, 1, 1, 0, 3, 4, 4, 0, 3, 3, 1, 4, 1, 3, 1, 0, 0, 2, 0, 1, 0, 4, 4, 1, 4, 0, 1, 4, 2, 4, 1, 0, 3, 4, 2, 1, 0, 0, 1, 4, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 3, 1, 0, 3, 3, 4, 3, 1, 0, 3, 4, 4, 2, 3, 1, 4, 3, 4, 3, 2, 4, 0, 3, 1, 2, 2, 3, 2, 3, 1, 0, 3, 4, 1, 1, 3, 3, 3, 1, 4, 3, 2, 2, 4, 0, 4, 3, 2, 3, 4, 3, 2, 4, 3, 4, 0, 3, 0, 1, 4, 2, 1, 4, 2, 1, 3, 1, 1, 1, 2, 1, 4, 1, 3, 4, 1, 0, 2, 2, 4, 0, 4, 4, 2, 0, 1, 1, 2, 3, 1, 0, 1, 1, 2, 1, 0, 0, 0, 3, 4, 1, 3, 1, 2, 3, 0, 1, 4, 2, 1, 2, 4, 0, 3, 0, 3, 1, 2, 0, 2, 2, 0, 1, 3, 3, 1, 1, 0, 3, 3, 0, 2, 2, 1, 3, 2, 2, 3, 3, 3, 4, 2, 3, 4, 1, 1, 3, 0, 2, 3, 0, 0, 3, 3, 1, 0, 2, 3, 3, 1, 4, 1, 1, 1, 0, 3, 3, 1, 4, 2, 2, 0, 3, 4, 3, 0, 2, 1, 1, 3, 0, 4, 4, 0, 4, 3, 2, 4, 3, 2, 1, 4, 0, 3, 3, 4, 1, 4, 1, 0, 3, 1, 1, 4, 1, 2, 4, 4]
pubkeycol516 = [2, 4, 0, 1, 0, 1, 3, 3, 0, 1, 2, 2, 1, 1, 1, 3, 0, 1, 3, 1, 0, 0, 3, 4, 0, 3, 4, 1, 2, 1, 2, 2, 2, 1, 1, 3, 3, 0, 0, 4, 2, 0, 2, 3, 1, 1, 0, 2, 1, 0, 4, 0, 4, 1, 4, 1, 1, 3, 3, 0, 2, 0, 0, 0, 3, 4, 3, 4, 1, 3, 3, 2, 1, 2, 4, 3, 3, 0, 4, 3, 1, 1, 3, 4, 3, 3, 4, 4, 0, 0, 0, 1, 4, 3, 3, 4, 3, 0, 3, 3, 1, 3, 2, 2, 3, 3, 3, 1, 0, 4, 4, 4, 0, 0, 0, 3, 2, 1, 4, 1, 2, 4, 1, 3, 1, 0, 4, 4, 4, 4, 1, 2, 1, 4, 2, 2, 2, 1, 1, 1, 3, 0, 4, 4, 0, 1, 3, 1, 1, 4, 1, 0, 4, 2, 1, 1, 1, 2, 2, 3, 1, 4, 1, 3, 4, 2, 4, 1, 4, 3, 0, 4, 2, 0, 1, 4, 2, 3, 4, 4, 0, 1, 2, 3, 1, 0, 0, 2, 4, 1, 1, 2, 3, 2, 0, 3, 1, 3, 4, 3, 0, 1, 2, 0, 2, 4, 2, 0, 3, 1, 4, 3, 2, 1, 1, 3, 0, 0, 0, 3, 4, 3, 3, 2, 4, 1, 2, 4, 4, 1, 2, 3, 0, 0, 3, 1, 3, 1, 1, 4, 3, 3, 0, 4, 1, 0, 0, 2, 2, 4, 2, 1, 0, 0, 4, 2, 2, 3, 4, 2, 3, 0, 0, 0, 2, 3, 0, 3, 3, 4, 1, 2, 0, 1, 1, 2, 4, 2, 0, 4, 2, 4, 0, 3, 2, 2, 2, 2, 1, 2, 3, 1, 3, 0, 4, 0, 4, 2, 4, 3, 3, 1, 2, 3, 1, 1, 4, 0, 1, 3, 0, 2, 2, 3, 2, 3, 3, 0, 3, 4, 3, 1, 0, 1, 1, 2, 4, 0, 2, 3, 4, 0, 4, 1, 4, 1, 3, 1, 3, 0, 4, 3, 0, 4, 0, 2, 0, 3, 3, 3, 0, 1, 1, 2, 4, 1, 1, 1, 1, 2, 0, 1, 2, 0, 3, 2, 3, 2, 3, 4, 4, 3, 1, 0, 1, 0, 3, 3, 0, 3, 4, 3, 2, 0, 1, 4, 1, 0, 1, 0, 2, 4, 2, 2, 0, 0, 4, 1, 0, 1]
pubkeycol517 = [3, 3, 1, 1, 2, 3, 1, 3, 3, 2, 1, 1, 2, 3, 1, 0, 1, 4, 2, 1, 2, 0, 3, 2, 0, 0, 1, 1, 1, 1, 0, 2, 4, 3, 2, 2, 0, 1, 2, 4, 2, 0, 3, 1, 4, 0, 3, 0, 2, 0, 1, 4, 0, 2, 3, 4, 0, 2, 3, 0, 2, 1, 1, 2, 0, 4, 4, 4, 1, 4, 1, 2, 1, 1, 4, 4, 0, 4, 1, 3, 1, 1, 1, 3, 3, 0, 4, 1, 1, 4, 2, 4, 3, 2, 4, 4, 1, 2, 0, 2, 0, 1, 3, 1, 1, 2, 0, 1, 0, 3, 3, 3, 4, 4, 1, 2, 0, 4, 3, 3, 1, 3, 4, 4, 4, 3, 4, 1, 4, 0, 1, 0, 1, 3, 4, 1, 1, 2, 1, 2, 1, 0, 2, 4, 3, 1, 2, 1, 0, 3, 1, 1, 1, 1, 4, 0, 2, 0, 4, 4, 3, 2, 0, 3, 1, 4, 0, 4, 4, 4, 3, 1, 1, 2, 3, 2, 4, 1, 0, 1, 4, 3, 2, 4, 4, 4, 2, 0, 2, 1, 3, 3, 4, 2, 3, 4, 3, 3, 3, 4, 2, 2, 4, 4, 4, 1, 0, 3, 3, 0, 1, 3, 1, 2, 3, 4, 3, 2, 1, 4, 3, 2, 4, 3, 2, 1, 3, 3, 1, 1, 4, 3, 2, 3, 4, 3, 1, 4, 3, 1, 1, 0, 4, 4, 4, 4, 2, 4, 0, 3, 2, 0, 4, 3, 4, 3, 4, 4, 3, 1, 3, 0, 4, 4, 1, 2, 1, 2, 4, 3, 4, 2, 0, 4, 0, 4, 1, 4, 3, 1, 0, 2, 0, 0, 2, 0, 3, 3, 0, 3, 4, 2, 0, 0, 4, 1, 2, 3, 2, 2, 1, 1, 4, 1, 0, 0, 4, 1, 2, 2, 3, 3, 4, 1, 0, 1, 1, 3, 2, 2, 0, 4, 0, 4, 2, 4, 1, 3, 1, 2, 2, 3, 3, 4, 1, 1, 0, 2, 0, 0, 1, 4, 0, 4, 1, 2, 2, 0, 0, 4, 4, 1, 4, 3, 1, 3, 3, 0, 2, 4, 3, 4, 2, 1, 3, 4, 1, 0, 0, 4, 0, 2, 0, 3, 4, 1, 3, 1, 3, 2, 1, 4, 2, 0, 1, 2, 0, 3, 1, 0, 4, 0, 0, 1, 1, 3, 1, 3, 1, 0]
pubkeycol518 = [2, 4, 3, 0, 1, 0, 2, 1, 4, 4, 4, 2, 4, 0, 0, 1, 3, 4, 0, 3, 2, 3, 3, 3, 0, 1, 0, 3, 3, 3, 0, 2, 3, 0, 4, 4, 3, 3, 1, 2, 1, 3, 0, 3, 4, 1, 4, 2, 0, 0, 1, 3, 3, 2, 3, 1, 2, 4, 2, 3, 0, 4, 4, 0, 2, 3, 4, 3, 0, 2, 4, 1, 2, 2, 1, 3, 3, 3, 2, 4, 1, 3, 3, 2, 4, 4, 0, 1, 3, 0, 0, 2, 1, 1, 4, 0, 2, 0, 1, 2, 0, 4, 0, 2, 1, 2, 1, 3, 2, 1, 3, 1, 4, 1, 2, 0, 2, 3, 0, 2, 0, 2, 1, 2, 0, 3, 4, 3, 0, 4, 3, 3, 0, 0, 0, 4, 2, 4, 3, 3, 0, 3, 2, 2, 4, 0, 4, 3, 0, 1, 1, 4, 2, 1, 3, 4, 3, 2, 1, 1, 4, 4, 2, 3, 0, 3, 2, 4, 1, 4, 4, 2, 1, 0, 0, 2, 4, 2, 2, 3, 3, 2, 3, 1, 0, 4, 1, 0, 4, 3, 2, 4, 3, 4, 1, 2, 2, 1, 0, 1, 3, 2, 3, 3, 2, 0, 4, 1, 3, 0, 4, 2, 4, 2, 2, 1, 1, 3, 3, 2, 3, 1, 4, 4, 4, 1, 3, 3, 0, 4, 0, 3, 1, 4, 1, 0, 2, 0, 3, 0, 4, 4, 2, 4, 1, 0, 3, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 3, 2, 3, 4, 4, 3, 0, 2, 3, 2, 1, 4, 0, 3, 0, 4, 3, 2, 3, 1, 1, 1, 3, 4, 4, 4, 2, 4, 0, 1, 0, 1, 1, 0, 4, 3, 1, 3, 3, 1, 0, 4, 1, 0, 3, 2, 4, 1, 1, 1, 4, 2, 2, 1, 3, 3, 2, 2, 3, 0, 2, 4, 4, 3, 3, 4, 2, 2, 3, 2, 0, 4, 3, 1, 3, 3, 1, 1, 1, 2, 0, 2, 4, 3, 2, 4, 1, 4, 4, 3, 1, 1, 3, 0, 0, 2, 2, 3, 1, 3, 0, 0, 1, 2, 2, 3, 4, 4, 2, 2, 0, 3, 2, 3, 2, 3, 3, 3, 4, 0, 2, 4, 1, 3, 0, 1, 3, 2, 1, 4, 1, 1, 0, 1, 4, 3, 1, 1, 2]
pubkeycol519 = [3, 3, 2, 3, 3, 0, 1, 1, 1, 3, 2, 1, 3, 4, 0, 2, 3, 3, 1, 1, 3, 4, 2, 0, 1, 4, 2, 4, 4, 4, 4, 3, 2, 2, 3, 0, 0, 3, 2, 0, 4, 4, 0, 2, 2, 1, 3, 1, 1, 2, 2, 1, 4, 0, 2, 3, 3, 3, 0, 1, 0, 2, 3, 4, 2, 3, 2, 0, 0, 3, 0, 2, 3, 4, 0, 4, 2, 0, 2, 4, 1, 0, 0, 4, 1, 0, 1, 2, 2, 4, 2, 1, 2, 3, 3, 1, 4, 4, 0, 3, 0, 3, 2, 4, 3, 4, 2, 4, 2, 3, 0, 0, 4, 1, 3, 4, 4, 4, 3, 4, 3, 0, 1, 3, 3, 1, 1, 2, 3, 3, 0, 0, 4, 3, 2, 0, 0, 1, 3, 2, 2, 2, 4, 0, 4, 2, 0, 3, 2, 3, 2, 1, 1, 4, 3, 3, 3, 2, 1, 2, 4, 1, 4, 1, 4, 0, 4, 0, 3, 1, 1, 3, 4, 0, 1, 2, 4, 2, 4, 2, 2, 3, 1, 3, 0, 0, 0, 0, 0, 1, 3, 0, 1, 2, 4, 3, 0, 0, 0, 2, 4, 1, 3, 4, 4, 3, 0, 4, 2, 4, 2, 3, 0, 4, 1, 3, 0, 0, 3, 1, 0, 4, 1, 3, 3, 4, 2, 1, 1, 1, 3, 2, 0, 2, 4, 1, 3, 1, 2, 0, 0, 2, 1, 1, 3, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 4, 3, 3, 1, 4, 4, 3, 4, 0, 2, 1, 3, 0, 4, 4, 0, 4, 3, 4, 2, 1, 4, 3, 2, 0, 1, 1, 0, 4, 1, 1, 1, 3, 2, 1, 4, 4, 2, 0, 3, 3, 3, 2, 3, 3, 3, 4, 2, 1, 2, 0, 0, 1, 4, 2, 3, 3, 4, 3, 2, 4, 2, 2, 1, 0, 2, 3, 3, 3, 2, 1, 3, 4, 0, 0, 4, 1, 0, 4, 0, 3, 0, 4, 3, 2, 3, 2, 1, 2, 3, 0, 0, 0, 4, 0, 1, 3, 2, 2, 0, 3, 2, 2, 1, 1, 3, 0, 1, 3, 1, 0, 1, 1, 0, 2, 4, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 2, 1, 2, 2, 3, 4, 1, 4, 4, 2, 3, 0, 4, 4, 0, 0, 3, 2, 3]
pubkeycol520 = [2, 4, 4, 4, 1, 2, 4, 1, 3, 0, 4, 4, 3, 4, 3, 1, 0, 3, 3, 2, 0, 0, 3, 2, 4, 4, 0, 2, 1, 0, 3, 0, 2, 2, 2, 1, 1, 1, 3, 4, 4, 2, 0, 0, 0, 1, 3, 2, 3, 0, 4, 3, 3, 0, 4, 1, 3, 0, 0, 4, 0, 4, 4, 1, 4, 3, 3, 1, 1, 3, 1, 3, 3, 3, 3, 1, 4, 1, 2, 3, 0, 2, 4, 0, 1, 2, 4, 4, 2, 2, 3, 1, 1, 3, 0, 3, 0, 0, 3, 1, 3, 0, 0, 1, 1, 3, 3, 1, 2, 0, 0, 4, 1, 3, 4, 0, 1, 4, 0, 2, 1, 3, 1, 3, 0, 1, 4, 1, 2, 1, 4, 1, 0, 3, 4, 0, 2, 3, 1, 1, 4, 2, 2, 3, 1, 2, 0, 1, 2, 0, 1, 4, 0, 1, 2, 3, 3, 4, 0, 1, 2, 1, 3, 1, 0, 4, 0, 4, 2, 1, 3, 1, 4, 4, 1, 0, 4, 2, 3, 2, 3, 4, 1, 2, 2, 2, 4, 4, 2, 1, 3, 2, 0, 4, 3, 4, 4, 2, 4, 4, 2, 0, 2, 0, 0, 0, 0, 4, 2, 2, 4, 0, 2, 0, 3, 4, 4, 0, 3, 0, 1, 2, 2, 4, 2, 1, 2, 2, 2, 4, 1, 4, 4, 2, 3, 2, 3, 1, 0, 3, 1, 3, 1, 2, 3, 0, 2, 3, 2, 2, 1, 4, 1, 1, 2, 2, 4, 0, 2, 0, 3, 3, 4, 3, 4, 0, 0, 2, 2, 3, 0, 1, 1, 2, 3, 0, 3, 2, 1, 0, 0, 3, 4, 3, 0, 0, 4, 3, 1, 1, 2, 3, 2, 3, 3, 2, 4, 1, 0, 3, 1, 3, 2, 0, 0, 0, 3, 1, 0, 4, 3, 1, 0, 4, 0, 2, 3, 4, 2, 1, 1, 0, 3, 0, 1, 2, 1, 1, 3, 4, 0, 4, 1, 3, 1, 2, 0, 0, 0, 1, 4, 1, 3, 4, 4, 0, 1, 1, 4, 2, 3, 2, 1, 2, 4, 2, 1, 4, 0, 3, 4, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 4, 1, 1, 4, 0, 2, 2, 2, 2, 1, 4, 1, 3, 2, 2, 3, 1, 0, 4, 1, 2, 4, 3, 4]
pubkeycol521 = [3, 4, 1, 0, 4, 2, 3, 2, 3, 4, 1, 4, 1, 4, 0, 2, 2, 4, 0, 1, 0, 1, 3, 2, 0, 4, 4, 0, 4, 1, 4, 4, 4, 0, 3, 3, 3, 1, 2, 3, 1, 0, 3, 3, 2, 0, 1, 0, 4, 0, 2, 4, 2, 1, 4, 3, 0, 3, 3, 1, 4, 4, 0, 3, 3, 2, 2, 1, 0, 0, 3, 1, 0, 4, 2, 4, 4, 3, 2, 1, 2, 4, 3, 1, 2, 2, 2, 3, 4, 1, 2, 3, 3, 2, 1, 3, 3, 3, 3, 2, 0, 2, 3, 0, 2, 2, 4, 2, 3, 2, 0, 1, 3, 4, 3, 4, 1, 1, 4, 0, 3, 0, 4, 3, 3, 0, 4, 1, 3, 0, 1, 1, 3, 0, 1, 0, 2, 3, 0, 3, 2, 1, 4, 4, 0, 3, 2, 1, 0, 2, 4, 4, 3, 0, 3, 1, 3, 0, 1, 2, 2, 4, 4, 4, 4, 0, 1, 3, 2, 4, 3, 2, 3, 1, 4, 4, 3, 2, 2, 1, 3, 1, 1, 3, 2, 2, 3, 4, 0, 1, 2, 1, 0, 2, 1, 3, 4, 3, 1, 2, 4, 3, 0, 4, 1, 2, 3, 2, 4, 0, 1, 0, 2, 4, 0, 0, 3, 0, 2, 3, 3, 3, 0, 2, 4, 1, 4, 3, 3, 1, 2, 4, 3, 4, 2, 1, 3, 4, 0, 0, 1, 1, 4, 1, 0, 2, 3, 0, 2, 3, 4, 0, 2, 3, 2, 2, 3, 0, 3, 2, 2, 2, 4, 0, 4, 2, 1, 0, 3, 2, 3, 4, 0, 2, 3, 0, 4, 4, 0, 4, 4, 4, 3, 0, 2, 4, 2, 0, 1, 0, 2, 1, 1, 3, 1, 1, 1, 2, 0, 1, 3, 0, 4, 1, 3, 3, 3, 2, 3, 1, 4, 2, 4, 1, 4, 3, 2, 0, 3, 4, 0, 2, 4, 1, 2, 0, 3, 3, 1, 0, 3, 1, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 2, 2, 1, 0, 2, 3, 1, 4, 2, 3, 4, 0, 1, 4, 3, 0, 3, 0, 0, 1, 3, 4, 3, 4, 0, 4, 4, 4, 1, 0, 3, 0, 1, 4, 1, 2, 2, 3, 4, 1, 1, 1, 2, 2, 2, 4, 3, 3, 1, 2, 4, 4, 2, 2, 2, 3, 0, 4]
pubkeycol522 = [2, 4, 3, 2, 1, 3, 4, 2, 4, 2, 3, 4, 4, 3, 0, 1, 3, 1, 3, 0, 2, 2, 2, 1, 1, 4, 0, 3, 4, 1, 2, 2, 4, 1, 4, 0, 4, 2, 2, 4, 3, 4, 0, 2, 2, 3, 2, 4, 4, 2, 1, 4, 4, 3, 1, 0, 2, 4, 1, 3, 0, 4, 0, 2, 2, 2, 4, 1, 2, 0, 1, 1, 4, 3, 1, 3, 0, 0, 0, 2, 1, 3, 1, 3, 3, 0, 2, 3, 0, 3, 0, 2, 4, 1, 1, 4, 3, 0, 1, 2, 3, 1, 0, 1, 4, 3, 4, 0, 4, 3, 2, 1, 4, 4, 1, 0, 4, 3, 1, 1, 4, 2, 0, 3, 4, 0, 4, 4, 2, 2, 3, 2, 4, 4, 4, 3, 2, 4, 0, 4, 2, 2, 1, 4, 1, 3, 2, 2, 4, 0, 4, 1, 0, 2, 0, 2, 0, 1, 1, 3, 2, 2, 2, 1, 4, 0, 4, 4, 1, 4, 3, 4, 2, 1, 0, 1, 1, 1, 0, 2, 3, 2, 0, 4, 1, 0, 2, 0, 4, 3, 1, 0, 2, 3, 4, 1, 4, 0, 4, 3, 2, 4, 1, 4, 0, 2, 3, 0, 4, 3, 2, 4, 3, 4, 3, 0, 0, 2, 0, 3, 2, 3, 4, 4, 4, 1, 2, 0, 4, 2, 3, 1, 1, 2, 2, 4, 2, 2, 1, 1, 3, 1, 1, 2, 2, 1, 3, 0, 1, 3, 3, 2, 2, 1, 0, 3, 0, 4, 3, 2, 2, 1, 2, 0, 3, 3, 1, 4, 2, 0, 4, 0, 4, 3, 3, 1, 3, 3, 1, 3, 4, 2, 2, 2, 1, 0, 3, 2, 2, 2, 4, 1, 2, 2, 0, 4, 1, 1, 1, 1, 0, 2, 4, 3, 1, 3, 3, 3, 1, 2, 0, 2, 2, 4, 2, 1, 1, 1, 3, 1, 2, 2, 0, 0, 4, 4, 2, 4, 3, 1, 3, 2, 0, 2, 3, 4, 0, 4, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 4, 0, 0, 2, 3, 1, 4, 1, 1, 3, 2, 4, 4, 3, 0, 1, 2, 1, 0, 4, 0, 1, 0, 0, 4, 1, 2, 0, 2, 2, 3, 0, 0, 1, 2, 2, 4, 3, 2, 2, 4, 3, 3, 4, 0, 1, 1]
pubkeycol523 = [0, 1, 0, 1, 3, 2, 3, 0, 1, 2, 2, 3, 4, 2, 1, 0, 0, 3, 4, 0, 1, 2, 1, 2, 0, 2, 0, 4, 2, 3, 1, 3, 1, 3, 2, 3, 4, 4, 1, 1, 2, 2, 1, 3, 0, 4, 4, 2, 0, 0, 3, 4, 3, 0, 1, 4, 1, 3, 2, 1, 0, 2, 4, 0, 3, 0, 4, 1, 0, 1, 1, 0, 1, 0, 3, 2, 0, 4, 3, 2, 1, 0, 4, 2, 3, 2, 0, 0, 4, 3, 1, 3, 1, 4, 0, 3, 1, 1, 4, 4, 3, 4, 1, 4, 0, 1, 3, 2, 2, 0, 1, 2, 4, 1, 2, 1, 1, 2, 1, 4, 0, 4, 1, 3, 3, 4, 4, 2, 4, 2, 4, 3, 4, 1, 1, 1, 4, 3, 2, 2, 1, 4, 1, 1, 2, 3, 2, 3, 3, 0, 0, 0, 2, 2, 4, 4, 2, 3, 0, 0, 0, 1, 2, 1, 2, 1, 3, 1, 3, 2, 1, 4, 4, 1, 2, 1, 0, 3, 1, 2, 3, 3, 1, 1, 2, 0, 0, 1, 3, 0, 1, 1, 2, 4, 3, 3, 3, 4, 0, 2, 4, 4, 1, 1, 3, 0, 4, 4, 0, 4, 3, 3, 4, 2, 4, 3, 0, 0, 1, 2, 3, 4, 0, 2, 1, 0, 0, 0, 1, 0, 4, 1, 4, 4, 1, 3, 1, 1, 2, 2, 3, 1, 4, 1, 4, 4, 3, 2, 1, 1, 0, 2, 4, 0, 1, 1, 3, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 3, 4, 2, 3, 2, 2, 2, 1, 4, 1, 1, 2, 2, 1, 4, 2, 2, 4, 4, 4, 0, 1, 1, 4, 2, 2, 1, 3, 0, 4, 1, 4, 4, 2, 3, 4, 3, 4, 4, 3, 3, 0, 2, 0, 2, 1, 3, 0, 1, 1, 4, 0, 0, 0, 4, 4, 2, 4, 2, 1, 3, 0, 1, 0, 3, 1, 2, 2, 0, 3, 2, 4, 1, 4, 4, 0, 0, 4, 3, 3, 2, 1, 1, 3, 1, 4, 3, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 3, 4, 1, 4, 1, 0, 4, 2, 1, 4, 3, 0, 1, 0, 3, 0, 1, 4, 4, 1, 3, 4, 1, 3, 4, 4, 0, 0, 1, 4, 2, 2, 1, 1]
pubkeycol524 = [2, 4, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 4, 2, 3, 4, 4, 3, 4, 4, 1, 4, 4, 2, 1, 3, 1, 2, 0, 2, 3, 2, 3, 0, 1, 3, 4, 1, 1, 1, 3, 3, 0, 2, 4, 0, 4, 1, 2, 2, 1, 1, 4, 4, 4, 4, 0, 2, 3, 2, 1, 0, 1, 2, 3, 2, 2, 3, 2, 0, 2, 3, 3, 3, 0, 1, 4, 1, 3, 1, 4, 4, 1, 2, 1, 1, 0, 2, 0, 3, 1, 4, 2, 3, 4, 0, 1, 4, 0, 3, 1, 4, 2, 4, 1, 1, 3, 2, 1, 4, 3, 3, 4, 2, 3, 1, 0, 2, 3, 0, 1, 2, 1, 2, 2, 2, 3, 0, 3, 3, 4, 0, 2, 4, 4, 2, 1, 1, 1, 3, 0, 2, 2, 1, 1, 3, 0, 1, 2, 0, 2, 4, 4, 2, 0, 0, 3, 2, 1, 0, 2, 1, 3, 4, 2, 4, 2, 3, 1, 2, 3, 1, 3, 0, 4, 1, 3, 0, 2, 1, 1, 2, 4, 1, 0, 2, 2, 3, 0, 2, 2, 4, 1, 4, 1, 3, 1, 2, 3, 2, 3, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 4, 2, 3, 3, 3, 4, 1, 1, 0, 2, 4, 0, 3, 1, 0, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 3, 1, 4, 1, 1, 1, 2, 4, 3, 0, 0, 1, 4, 2, 2, 2, 2, 4, 3, 2, 3, 1, 3, 3, 1, 1, 4, 3, 2, 4, 4, 0, 3, 1, 3, 4, 3, 2, 4, 0, 1, 3, 0, 0, 4, 2, 3, 0, 0, 1, 0, 0, 0, 4, 1, 0, 0, 4, 3, 1, 2, 0, 0, 2, 1, 1, 0, 3, 0, 0, 0, 1, 4, 0, 0, 3, 2, 3, 3, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 4, 4, 1, 0, 2, 2, 0, 4, 1, 4, 0, 4, 4, 2, 1, 4, 1, 2, 1, 0, 3, 4, 0, 4, 4, 1, 0, 3, 0, 4, 2, 2, 2, 1, 0, 2, 1, 3, 4, 0, 2, 2, 3, 2, 3, 3, 2, 3, 4, 2, 1, 4, 1, 3, 1, 3, 2, 2, 4, 2, 4, 2]
pubkeycol525 = [3, 1, 1, 3, 0, 0, 3, 2, 3, 4, 3, 3, 4, 1, 3, 0, 3, 1, 0, 1, 0, 1, 4, 0, 3, 2, 3, 2, 4, 3, 4, 3, 0, 0, 4, 1, 1, 2, 3, 3, 2, 1, 1, 3, 2, 0, 1, 4, 2, 3, 3, 1, 2, 0, 2, 4, 1, 0, 1, 4, 0, 1, 1, 2, 3, 3, 2, 0, 2, 2, 1, 2, 3, 2, 3, 4, 2, 0, 1, 3, 0, 3, 2, 2, 0, 0, 1, 4, 4, 1, 0, 1, 3, 4, 1, 4, 2, 2, 4, 2, 1, 2, 2, 1, 1, 3, 1, 1, 0, 4, 2, 1, 4, 3, 2, 1, 2, 0, 4, 1, 4, 2, 3, 3, 1, 3, 3, 3, 3, 4, 0, 1, 2, 3, 1, 4, 3, 1, 1, 1, 0, 1, 2, 1, 4, 3, 3, 3, 3, 4, 4, 1, 0, 4, 2, 3, 3, 1, 0, 0, 2, 1, 2, 2, 0, 4, 0, 3, 2, 2, 0, 2, 4, 2, 2, 4, 4, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 4, 1, 3, 0, 0, 1, 3, 3, 2, 4, 0, 2, 0, 2, 4, 0, 0, 1, 0, 0, 1, 3, 4, 1, 3, 4, 1, 1, 4, 2, 4, 1, 1, 2, 0, 2, 2, 4, 3, 4, 0, 3, 1, 1, 1, 2, 1, 4, 3, 2, 1, 1, 2, 1, 0, 1, 3, 1, 0, 4, 0, 4, 2, 1, 4, 1, 2, 2, 2, 2, 1, 3, 2, 3, 3, 0, 0, 0, 1, 3, 1, 3, 0, 0, 0, 1, 2, 3, 2, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 4, 0, 1, 1, 4, 1, 2, 3, 4, 2, 0, 2, 0, 0, 3, 4, 3, 4, 0, 3, 4, 0, 1, 3, 2, 3, 4, 0, 1, 0, 4, 1, 2, 2, 3, 2, 2, 0, 3, 4, 2, 0, 4, 0, 4, 2, 2, 4, 3, 1, 4, 4, 3, 4, 0, 1, 3, 4, 2, 4, 1, 3, 3, 2, 0, 3, 1, 0, 3, 4, 1, 0, 1, 1, 0, 1, 1, 3, 0, 4, 3, 0, 1, 3, 4, 3, 3, 1, 2, 4, 4, 1, 1, 0, 2, 3, 3, 4, 4, 4, 0, 1, 3, 3, 0, 2, 3]
pubkeycol526 = [2, 1, 2, 2, 3, 1, 2, 2, 4, 1, 1, 2, 0, 3, 2, 2, 3, 4, 3, 4, 0, 2, 0, 2, 1, 0, 2, 3, 2, 3, 3, 4, 1, 0, 4, 2, 4, 4, 0, 0, 0, 3, 3, 4, 2, 3, 4, 1, 0, 0, 4, 2, 4, 4, 4, 2, 0, 0, 4, 2, 2, 1, 1, 4, 1, 3, 1, 2, 4, 4, 2, 0, 0, 4, 4, 0, 4, 1, 0, 1, 4, 0, 1, 1, 4, 4, 2, 4, 4, 3, 4, 0, 2, 4, 4, 3, 2, 1, 0, 1, 3, 3, 1, 1, 3, 2, 3, 3, 4, 4, 4, 4, 2, 2, 1, 2, 3, 3, 0, 4, 0, 3, 1, 4, 1, 0, 0, 1, 1, 2, 2, 2, 4, 1, 1, 0, 2, 3, 1, 1, 3, 1, 3, 3, 1, 3, 4, 4, 3, 2, 3, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 3, 0, 2, 4, 3, 2, 4, 0, 4, 0, 0, 2, 4, 3, 0, 1, 1, 2, 0, 3, 0, 2, 3, 0, 4, 0, 1, 3, 1, 4, 1, 4, 0, 0, 1, 3, 0, 2, 0, 1, 3, 2, 1, 4, 2, 0, 0, 1, 1, 4, 0, 0, 3, 0, 1, 1, 3, 1, 4, 2, 1, 4, 3, 2, 3, 3, 3, 1, 2, 3, 0, 3, 2, 4, 0, 3, 2, 2, 1, 1, 2, 1, 3, 3, 2, 0, 1, 0, 0, 3, 4, 3, 1, 2, 1, 3, 4, 3, 4, 3, 2, 1, 3, 0, 4, 1, 1, 2, 3, 3, 2, 3, 3, 1, 2, 0, 3, 4, 4, 1, 0, 2, 4, 4, 0, 4, 4, 3, 1, 0, 1, 4, 0, 4, 1, 0, 1, 1, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 4, 0, 3, 1, 1, 4, 3, 0, 2, 3, 2, 3, 2, 2, 3, 2, 4, 1, 1, 0, 2, 0, 1, 4, 3, 2, 0, 3, 4, 3, 4, 3, 2, 0, 3, 1, 0, 4, 2, 2, 0, 2, 1, 1, 0, 3, 1, 4, 1, 4, 3, 2, 3, 3, 0, 0, 0, 2, 3, 2, 3, 3, 3, 4, 0, 0, 1, 0, 4, 4, 0, 3, 0, 0, 2, 1, 1, 2, 3, 2, 0, 2, 3, 4, 1, 4, 2, 4, 4, 2]
pubkeycol527 = [0, 1, 1, 4, 3, 3, 3, 4, 2, 2, 4, 3, 2, 2, 2, 4, 0, 1, 3, 1, 2, 4, 2, 2, 2, 1, 4, 0, 3, 3, 2, 4, 0, 0, 4, 1, 3, 4, 0, 0, 3, 0, 1, 4, 4, 3, 4, 2, 2, 2, 3, 1, 0, 0, 2, 1, 3, 2, 3, 2, 1, 0, 1, 1, 4, 1, 2, 3, 4, 0, 2, 0, 3, 4, 2, 1, 3, 2, 2, 0, 0, 4, 3, 2, 2, 1, 2, 2, 4, 3, 3, 0, 0, 2, 0, 4, 0, 0, 3, 3, 2, 3, 0, 3, 0, 1, 0, 4, 3, 1, 3, 1, 4, 3, 4, 0, 1, 0, 1, 3, 1, 0, 0, 1, 1, 2, 4, 3, 1, 0, 2, 4, 3, 0, 2, 2, 0, 3, 1, 0, 4, 3, 4, 1, 4, 4, 2, 2, 2, 4, 4, 1, 4, 1, 4, 4, 3, 1, 0, 4, 0, 0, 0, 3, 1, 3, 4, 4, 2, 4, 1, 4, 0, 3, 3, 0, 0, 1, 2, 3, 3, 2, 2, 0, 3, 4, 0, 4, 1, 2, 1, 1, 4, 1, 4, 1, 1, 2, 1, 2, 4, 0, 1, 4, 2, 3, 0, 1, 4, 2, 1, 1, 4, 3, 1, 4, 3, 0, 2, 1, 2, 3, 3, 1, 2, 3, 0, 3, 0, 3, 1, 1, 4, 0, 4, 4, 2, 1, 2, 3, 0, 2, 3, 0, 4, 1, 0, 4, 3, 4, 4, 3, 0, 1, 3, 3, 2, 1, 0, 1, 2, 3, 2, 4, 3, 1, 1, 1, 0, 4, 4, 1, 1, 4, 1, 2, 2, 1, 2, 1, 2, 3, 2, 3, 0, 0, 2, 0, 4, 4, 2, 3, 0, 2, 1, 4, 0, 1, 1, 0, 4, 4, 4, 0, 2, 2, 3, 1, 4, 4, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 1, 2, 0, 4, 3, 0, 1, 4, 2, 3, 1, 2, 3, 4, 3, 1, 3, 4, 0, 0, 4, 3, 2, 0, 3, 2, 2, 4, 0, 0, 0, 2, 4, 3, 3, 2, 4, 0, 3, 3, 3, 1, 4, 2, 4, 1, 4, 4, 1, 4, 2, 4, 4, 2, 4, 1, 4, 3, 3, 4, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 3, 1, 0, 4, 1, 0, 2, 4, 1, 0]
pubkeycol528 = [4, 1, 1, 0, 1, 1, 1, 2, 4, 4, 2, 2, 0, 3, 2, 1, 0, 1, 1, 3, 1, 0, 1, 2, 2, 0, 4, 1, 0, 2, 0, 2, 2, 0, 2, 1, 4, 1, 0, 0, 2, 1, 1, 1, 3, 1, 2, 2, 4, 3, 0, 1, 2, 4, 3, 2, 2, 4, 0, 4, 4, 1, 4, 1, 0, 0, 0, 0, 1, 2, 4, 3, 3, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 1, 3, 1, 1, 2, 3, 3, 1, 0, 0, 2, 4, 0, 2, 2, 4, 4, 1, 0, 0, 3, 4, 2, 0, 4, 3, 0, 2, 3, 0, 1, 0, 0, 3, 4, 3, 2, 2, 2, 0, 1, 4, 2, 3, 4, 3, 2, 3, 3, 3, 3, 1, 0, 2, 3, 4, 2, 0, 4, 2, 1, 4, 1, 1, 0, 3, 0, 0, 4, 2, 3, 3, 1, 2, 2, 0, 1, 0, 0, 4, 3, 3, 3, 0, 1, 4, 3, 1, 3, 2, 2, 0, 1, 4, 3, 1, 1, 4, 4, 1, 2, 1, 2, 0, 2, 0, 1, 3, 1, 3, 3, 3, 1, 0, 0, 3, 4, 3, 4, 0, 3, 0, 1, 2, 4, 3, 4, 1, 0, 4, 3, 1, 4, 1, 4, 0, 4, 0, 0, 4, 1, 4, 2, 0, 1, 1, 0, 2, 4, 2, 3, 1, 4, 1, 0, 0, 4, 0, 0, 3, 2, 2, 1, 0, 4, 4, 4, 0, 0, 1, 3, 2, 1, 2, 1, 0, 0, 2, 2, 4, 1, 3, 1, 4, 3, 0, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 0, 3, 2, 2, 1, 0, 3, 4, 0, 0, 0, 3, 1, 0, 2, 2, 2, 4, 2, 1, 1, 1, 3, 4, 1, 2, 1, 3, 4, 2, 3, 3, 3, 0, 1, 4, 4, 3, 1, 2, 4, 3, 3, 4, 3, 3, 2, 2, 2, 0, 3, 1, 2, 3, 0, 1, 2, 1, 0, 3, 3, 4, 2, 2, 1, 0, 1, 2, 1, 4, 1, 2, 3, 4, 3, 2, 0, 3, 2, 4, 3, 0, 4, 1, 3, 0, 1, 3, 0, 0, 0, 1, 4, 0, 4, 3, 3, 0, 1, 2, 2, 4, 2, 0, 0, 2, 0, 0, 0, 1, 3, 4, 3, 0, 1, 2, 0, 4, 4]
pubkeycol529 = [3, 4, 1, 4, 4, 3, 2, 2, 0, 4, 3, 4, 3, 0, 0, 1, 3, 1, 2, 2, 3, 1, 0, 2, 2, 4, 4, 1, 3, 4, 2, 1, 1, 1, 3, 3, 3, 3, 2, 3, 3, 0, 1, 0, 0, 2, 0, 2, 1, 1, 3, 0, 2, 0, 2, 0, 4, 2, 3, 0, 0, 2, 2, 1, 3, 0, 4, 1, 1, 4, 2, 0, 2, 2, 2, 4, 2, 1, 3, 4, 0, 0, 1, 2, 0, 0, 4, 1, 1, 4, 0, 0, 1, 4, 2, 1, 1, 4, 0, 1, 3, 4, 3, 2, 2, 2, 1, 4, 2, 1, 4, 0, 4, 4, 3, 1, 4, 2, 4, 3, 4, 4, 1, 0, 0, 3, 0, 3, 3, 0, 3, 4, 4, 3, 2, 0, 3, 3, 3, 4, 1, 1, 0, 2, 0, 4, 4, 3, 4, 2, 3, 2, 1, 4, 4, 2, 4, 1, 3, 4, 3, 0, 0, 1, 0, 2, 0, 4, 4, 0, 2, 0, 0, 4, 2, 0, 4, 4, 0, 2, 3, 2, 4, 3, 1, 1, 2, 2, 0, 0, 4, 3, 0, 1, 3, 4, 2, 2, 4, 3, 2, 3, 0, 1, 4, 0, 3, 1, 0, 3, 1, 0, 3, 3, 3, 0, 3, 1, 4, 1, 1, 3, 0, 2, 4, 2, 0, 4, 0, 2, 1, 1, 0, 3, 4, 2, 0, 2, 1, 0, 0, 3, 3, 3, 0, 3, 4, 3, 1, 1, 1, 4, 1, 4, 4, 0, 3, 0, 4, 2, 2, 0, 0, 4, 0, 1, 3, 1, 2, 1, 1, 0, 4, 0, 4, 0, 1, 2, 1, 0, 4, 4, 0, 3, 0, 3, 1, 2, 4, 1, 2, 3, 2, 2, 2, 2, 4, 2, 1, 0, 4, 0, 4, 4, 3, 2, 2, 4, 2, 0, 1, 0, 2, 4, 0, 4, 1, 4, 3, 2, 2, 1, 2, 0, 4, 4, 4, 2, 2, 3, 3, 3, 0, 0, 2, 1, 3, 4, 1, 2, 0, 0, 1, 1, 4, 1, 4, 3, 0, 2, 3, 2, 1, 1, 2, 3, 0, 3, 2, 2, 4, 4, 0, 2, 2, 1, 2, 4, 0, 4, 4, 4, 3, 2, 3, 4, 3, 1, 3, 3, 2, 4, 3, 1, 2, 0, 3, 1, 0, 1, 1, 3, 4, 3, 3, 1, 3, 0, 2, 1]
pubkeycol530 = [4, 1, 1, 4, 3, 0, 4, 0, 0, 0, 0, 3, 0, 4, 2, 1, 2, 3, 4, 4, 0, 0, 3, 2, 2, 4, 0, 1, 2, 3, 1, 3, 3, 2, 4, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 4, 1, 4, 4, 2, 4, 1, 0, 3, 0, 0, 3, 2, 3, 3, 4, 2, 0, 0, 0, 1, 1, 0, 0, 3, 0, 4, 1, 3, 0, 0, 0, 1, 3, 3, 3, 3, 0, 2, 2, 0, 3, 1, 4, 3, 4, 1, 0, 3, 2, 4, 3, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 1, 4, 1, 4, 1, 4, 1, 3, 3, 3, 1, 3, 4, 2, 2, 1, 3, 2, 1, 4, 4, 3, 0, 3, 2, 0, 2, 1, 2, 0, 1, 4, 3, 2, 0, 3, 4, 3, 0, 2, 4, 0, 2, 4, 2, 2, 4, 1, 4, 2, 2, 3, 2, 4, 0, 1, 3, 0, 4, 0, 1, 1, 0, 4, 2, 3, 4, 0, 2, 4, 2, 1, 3, 0, 0, 4, 4, 1, 2, 4, 4, 4, 0, 1, 1, 4, 2, 1, 2, 0, 3, 4, 2, 3, 1, 4, 0, 1, 4, 2, 4, 1, 3, 4, 0, 1, 1, 1, 3, 1, 2, 3, 3, 0, 2, 3, 1, 0, 3, 3, 0, 4, 1, 2, 2, 4, 3, 4, 1, 3, 4, 3, 4, 0, 0, 1, 3, 1, 4, 0, 0, 3, 1, 4, 0, 0, 4, 2, 0, 4, 0, 2, 4, 3, 1, 3, 4, 2, 0, 3, 2, 0, 4, 3, 3, 1, 3, 3, 3, 1, 1, 0, 3, 0, 3, 2, 2, 0, 4, 1, 2, 1, 2, 1, 1, 2, 0, 4, 4, 1, 1, 1, 4, 3, 4, 1, 3, 4, 1, 2, 3, 3, 3, 2, 4, 1, 1, 4, 3, 4, 1, 3, 4, 1, 4, 3, 1, 1, 0, 4, 1, 2, 4, 3, 4, 2, 3, 2, 0, 2, 3, 1, 3, 2, 2, 1, 0, 1, 2, 1, 3, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 0, 2, 1, 1, 3, 2, 4, 0, 1, 3, 4, 0, 4, 2, 0, 2, 1, 3, 2, 1, 0, 3, 3, 4, 1, 4, 4, 2]
pubkeycol531 = [1, 1, 0, 3, 2, 0, 2, 2, 2, 0, 2, 3, 3, 3, 3, 3, 1, 3, 4, 2, 2, 3, 1, 4, 2, 1, 0, 2, 1, 0, 3, 3, 4, 4, 3, 2, 0, 1, 0, 1, 4, 3, 1, 2, 3, 1, 2, 3, 0, 1, 1, 1, 0, 4, 2, 0, 2, 3, 3, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 2, 3, 0, 4, 1, 0, 2, 3, 1, 4, 0, 4, 3, 3, 2, 1, 0, 4, 4, 3, 4, 3, 4, 3, 4, 3, 1, 3, 2, 4, 4, 1, 2, 4, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 4, 1, 3, 4, 4, 0, 3, 4, 3, 0, 0, 1, 1, 0, 0, 0, 3, 0, 2, 2, 3, 4, 4, 3, 2, 3, 3, 3, 1, 4, 0, 0, 0, 4, 2, 2, 4, 4, 2, 2, 2, 4, 2, 2, 1, 3, 2, 4, 4, 3, 2, 2, 1, 0, 1, 3, 4, 4, 3, 2, 3, 2, 0, 4, 4, 2, 2, 4, 0, 0, 3, 0, 2, 4, 0, 1, 2, 4, 0, 0, 4, 1, 4, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 4, 2, 0, 4, 4, 2, 2, 3, 1, 0, 2, 3, 0, 1, 4, 4, 3, 4, 1, 3, 3, 2, 2, 0, 3, 3, 4, 1, 1, 2, 2, 2, 3, 3, 4, 1, 1, 1, 3, 1, 3, 2, 2, 3, 0, 4, 2, 3, 2, 1, 1, 2, 0, 1, 0, 0, 4, 3, 4, 4, 1, 1, 0, 4, 1, 2, 4, 1, 0, 2, 3, 0, 0, 4, 2, 1, 1, 0, 0, 3, 3, 0, 0, 1, 1, 3, 3, 2, 4, 3, 2, 2, 2, 4, 0, 3, 2, 1, 2, 4, 0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 4, 0, 3, 0, 2, 4, 2, 2, 3, 4, 3, 0, 4, 0, 1, 1, 3, 4, 0, 3, 3, 0, 2, 0, 4, 0, 4, 4, 4, 0, 3, 2, 2, 1, 4, 4, 3, 4, 1, 4, 3, 3, 2, 0, 3, 1, 0, 3, 1, 3, 2, 1, 4, 4, 3, 3, 3, 4, 1, 2, 2, 4, 1, 4, 4, 2, 1, 3, 0, 0, 0, 4, 3, 2, 3, 2, 3, 4, 4, 1]
pubkeycol532 = [3, 0, 3, 3, 1, 2, 1, 4, 4, 0, 1, 4, 4, 2, 3, 0, 2, 4, 1, 3, 3, 1, 3, 1, 2, 0, 2, 3, 1, 3, 2, 0, 1, 4, 1, 3, 3, 1, 3, 4, 2, 4, 4, 2, 4, 3, 1, 4, 2, 4, 2, 0, 3, 2, 4, 4, 1, 4, 2, 0, 1, 3, 4, 2, 4, 0, 2, 4, 0, 2, 0, 2, 3, 3, 1, 3, 4, 3, 4, 2, 0, 3, 0, 2, 3, 2, 1, 0, 3, 2, 3, 2, 4, 2, 2, 2, 2, 3, 0, 4, 1, 2, 3, 0, 0, 1, 0, 2, 2, 4, 2, 2, 4, 2, 0, 2, 0, 1, 4, 2, 1, 3, 0, 0, 1, 3, 4, 1, 0, 1, 1, 2, 1, 1, 4, 2, 3, 4, 1, 0, 3, 4, 0, 1, 4, 3, 0, 0, 1, 0, 3, 4, 2, 1, 0, 4, 1, 2, 0, 2, 2, 3, 3, 2, 2, 1, 4, 1, 2, 3, 2, 3, 2, 4, 2, 2, 2, 0, 0, 4, 2, 3, 2, 0, 0, 4, 4, 4, 1, 0, 4, 1, 1, 0, 3, 4, 4, 4, 1, 0, 3, 0, 1, 1, 2, 2, 3, 1, 1, 0, 0, 3, 1, 3, 3, 3, 3, 4, 2, 0, 4, 3, 4, 1, 0, 2, 0, 0, 1, 3, 3, 0, 1, 3, 4, 3, 3, 1, 4, 1, 2, 4, 0, 3, 3, 3, 0, 4, 1, 0, 3, 4, 2, 1, 4, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 3, 1, 3, 3, 4, 0, 1, 0, 4, 4, 4, 1, 1, 4, 2, 0, 4, 2, 3, 1, 3, 2, 2, 0, 4, 1, 3, 1, 1, 3, 2, 4, 3, 2, 1, 4, 4, 0, 0, 4, 2, 2, 2, 4, 4, 3, 4, 2, 3, 4, 1, 1, 3, 3, 2, 2, 1, 1, 3, 0, 1, 4, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 4, 1, 1, 4, 0, 2, 4, 0, 3, 1, 0, 0, 3, 3, 0, 0, 0, 2, 0, 0, 4, 0, 2, 1, 3, 3, 2, 4, 2, 4, 2, 0, 3, 0, 2, 0, 0, 1, 3, 0, 1, 4, 0, 4, 4, 1, 2, 3, 3, 3, 4, 2, 0, 0, 3, 4, 1, 0, 0, 2, 4, 1]
pubkeycol533 = [0, 2, 2, 1, 1, 0, 4, 2, 2, 2, 0, 0, 3, 1, 3, 2, 3, 2, 2, 4, 3, 4, 2, 4, 0, 3, 1, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 3, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 4, 0, 4, 4, 1, 2, 4, 0, 4, 4, 1, 4, 1, 1, 4, 4, 3, 3, 2, 1, 1, 3, 1, 0, 3, 1, 0, 4, 4, 1, 2, 4, 1, 4, 1, 4, 4, 0, 2, 2, 3, 3, 0, 4, 3, 1, 0, 4, 0, 0, 0, 2, 3, 2, 0, 1, 1, 4, 0, 1, 3, 3, 0, 0, 3, 3, 0, 2, 4, 4, 0, 0, 0, 1, 2, 2, 4, 3, 0, 2, 0, 0, 1, 3, 0, 4, 4, 4, 4, 4, 1, 0, 4, 1, 4, 4, 1, 3, 0, 4, 2, 0, 1, 2, 4, 0, 2, 3, 1, 2, 0, 4, 4, 1, 3, 4, 0, 4, 1, 1, 0, 0, 4, 3, 2, 4, 3, 4, 2, 4, 2, 2, 4, 4, 4, 0, 0, 4, 1, 4, 3, 0, 4, 1, 1, 2, 1, 2, 4, 0, 3, 1, 3, 0, 2, 1, 2, 0, 3, 2, 0, 0, 3, 1, 0, 3, 0, 3, 3, 1, 0, 0, 2, 0, 1, 1, 0, 1, 4, 4, 4, 3, 3, 3, 1, 3, 3, 2, 2, 4, 2, 1, 2, 4, 3, 3, 3, 4, 4, 4, 2, 0, 2, 2, 1, 3, 2, 4, 3, 3, 0, 3, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 3, 4, 1, 0, 2, 2, 2, 3, 1, 0, 3, 0, 0, 1, 3, 4, 1, 0, 2, 2, 3, 3, 2, 3, 4, 3, 0, 3, 2, 3, 0, 0, 1, 4, 0, 0, 1, 4, 1, 3, 3, 4, 3, 3, 2, 2, 1, 3, 1, 1, 4, 0, 0, 1, 4, 3, 2, 4, 3, 2, 1, 0, 0, 4, 4, 2, 4, 0, 1, 3, 1, 4, 3, 1, 0, 1, 4, 2, 4, 3, 2, 4, 3, 2, 2, 2, 0, 1, 1, 4, 4, 1, 4, 4, 1, 3, 1, 0, 2, 0, 1, 0, 2, 4, 4, 1, 0, 4, 4, 0, 3, 4, 1, 4, 0, 3, 3, 4, 1, 2, 0, 2, 0, 1, 1, 0, 3, 4]
pubkeycol534 = [4, 1, 0, 0, 2, 2, 3, 1, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 3, 3, 0, 0, 4, 0, 3, 4, 3, 4, 4, 2, 3, 4, 0, 3, 0, 3, 2, 2, 3, 4, 3, 3, 0, 4, 2, 1, 2, 0, 4, 4, 3, 4, 2, 3, 2, 4, 4, 3, 0, 3, 1, 2, 2, 4, 0, 1, 4, 0, 3, 3, 0, 0, 2, 1, 3, 2, 3, 4, 0, 2, 2, 3, 1, 2, 2, 2, 1, 4, 4, 0, 3, 4, 3, 0, 1, 1, 0, 3, 2, 3, 0, 4, 2, 0, 3, 4, 0, 1, 1, 2, 2, 2, 4, 1, 4, 1, 0, 1, 1, 1, 1, 3, 3, 4, 3, 2, 4, 4, 2, 2, 1, 3, 3, 3, 2, 0, 2, 3, 0, 1, 2, 4, 1, 2, 2, 4, 2, 4, 3, 1, 4, 2, 2, 2, 0, 4, 1, 1, 0, 1, 2, 2, 0, 2, 3, 2, 2, 3, 2, 1, 0, 3, 2, 0, 1, 1, 0, 4, 1, 1, 3, 0, 4, 0, 1, 0, 4, 0, 2, 4, 1, 1, 2, 0, 0, 3, 1, 3, 0, 3, 3, 1, 4, 1, 1, 4, 4, 3, 0, 4, 1, 0, 1, 1, 0, 3, 3, 1, 0, 1, 2, 3, 0, 3, 4, 0, 1, 4, 0, 2, 4, 1, 3, 1, 0, 0, 1, 2, 4, 3, 0, 0, 1, 4, 3, 0, 0, 1, 3, 1, 0, 3, 3, 4, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 4, 3, 0, 4, 3, 4, 2, 3, 1, 2, 0, 1, 1, 2, 0, 4, 3, 4, 3, 2, 4, 4, 3, 3, 1, 0, 4, 2, 3, 0, 1, 2, 2, 3, 1, 1, 0, 0, 3, 3, 4, 1, 2, 3, 3, 2, 4, 3, 4, 0, 1, 3, 3, 4, 3, 0, 2, 3, 3, 2, 4, 4, 2, 4, 3, 4, 2, 1, 1, 1, 3, 2, 3, 0, 2, 1, 1, 0, 3, 2, 1, 4, 0, 0, 3, 1, 4, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 3, 0, 0, 2, 3, 0, 4, 2, 1, 1, 4, 4, 2, 4, 4, 3, 3, 1, 1, 4, 1, 0, 0, 3, 4, 2, 2, 0, 4, 3, 2, 1, 2, 3, 3, 4, 0, 1]
pubkeycol535 = [0, 2, 3, 1, 1, 2, 0, 0, 0, 4, 0, 0, 4, 3, 0, 0, 0, 3, 2, 2, 4, 0, 3, 4, 1, 0, 0, 0, 0, 1, 3, 0, 3, 3, 3, 4, 0, 4, 1, 0, 2, 2, 3, 0, 0, 1, 2, 3, 4, 0, 3, 3, 4, 0, 0, 0, 2, 3, 1, 2, 3, 2, 0, 4, 3, 0, 2, 2, 2, 4, 1, 4, 2, 2, 2, 2, 3, 0, 0, 2, 3, 3, 1, 1, 3, 0, 1, 4, 3, 0, 4, 2, 2, 4, 4, 4, 2, 2, 2, 1, 3, 1, 4, 1, 1, 0, 0, 1, 4, 3, 2, 2, 0, 4, 0, 1, 1, 3, 3, 4, 2, 0, 3, 0, 2, 3, 2, 4, 4, 3, 3, 0, 3, 3, 4, 3, 1, 3, 4, 1, 0, 0, 1, 1, 3, 2, 1, 2, 0, 1, 2, 1, 2, 2, 4, 4, 4, 1, 3, 1, 4, 0, 0, 0, 2, 1, 3, 1, 0, 3, 2, 4, 3, 0, 4, 0, 1, 3, 3, 2, 3, 1, 4, 0, 4, 3, 4, 3, 2, 0, 4, 0, 4, 3, 4, 3, 2, 0, 3, 3, 1, 4, 1, 1, 4, 0, 2, 1, 0, 1, 4, 2, 2, 2, 1, 1, 4, 0, 2, 3, 4, 1, 3, 4, 2, 4, 0, 1, 0, 2, 3, 4, 0, 3, 4, 3, 1, 0, 1, 3, 1, 1, 3, 0, 4, 3, 0, 3, 2, 2, 2, 1, 2, 2, 0, 4, 2, 3, 4, 2, 3, 2, 0, 1, 0, 0, 3, 1, 3, 4, 2, 2, 1, 1, 4, 2, 0, 3, 3, 2, 0, 4, 1, 2, 2, 4, 4, 0, 2, 3, 4, 0, 2, 2, 3, 0, 2, 1, 1, 4, 3, 4, 2, 2, 2, 0, 4, 2, 0, 3, 0, 4, 2, 0, 1, 4, 0, 2, 3, 0, 2, 2, 4, 1, 0, 2, 4, 0, 1, 0, 3, 4, 1, 4, 4, 2, 3, 4, 1, 4, 0, 3, 2, 3, 1, 0, 4, 2, 1, 0, 3, 2, 0, 0, 3, 1, 0, 0, 3, 0, 4, 1, 3, 1, 3, 3, 1, 2, 0, 4, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 4, 2, 2, 3, 0, 1, 1, 3, 1, 4, 2, 0, 4, 0, 3, 4, 1, 3, 1, 0]
pubkeycol536 = [2, 2, 0, 2, 4, 3, 2, 4, 0, 3, 4, 4, 4, 4, 3, 3, 0, 1, 0, 1, 4, 1, 0, 4, 3, 2, 4, 3, 4, 3, 4, 2, 0, 0, 3, 0, 0, 2, 0, 1, 2, 1, 2, 4, 1, 3, 3, 0, 3, 0, 3, 0, 3, 1, 1, 4, 2, 4, 4, 0, 3, 4, 2, 3, 0, 3, 3, 2, 1, 4, 0, 0, 2, 3, 3, 0, 0, 4, 0, 1, 1, 2, 2, 0, 4, 3, 0, 1, 3, 4, 0, 3, 3, 1, 2, 4, 3, 4, 2, 4, 2, 1, 4, 2, 3, 3, 3, 1, 3, 0, 1, 1, 0, 0, 4, 4, 2, 2, 3, 4, 2, 4, 4, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 4, 3, 1, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 3, 2, 1, 0, 4, 1, 4, 2, 1, 2, 4, 4, 0, 0, 0, 3, 1, 1, 0, 0, 0, 2, 3, 3, 3, 0, 4, 3, 0, 0, 1, 0, 0, 2, 1, 2, 2, 4, 2, 1, 0, 1, 2, 3, 4, 3, 2, 1, 1, 4, 3, 0, 3, 4, 4, 0, 4, 4, 0, 0, 1, 2, 3, 2, 2, 4, 1, 0, 1, 2, 2, 1, 4, 2, 0, 3, 1, 4, 4, 1, 4, 1, 1, 4, 3, 4, 2, 3, 3, 4, 0, 3, 0, 3, 2, 4, 0, 2, 0, 0, 1, 2, 1, 3, 4, 0, 4, 1, 1, 2, 4, 4, 3, 0, 4, 1, 0, 1, 1, 0, 0, 1, 3, 0, 1, 1, 2, 4, 0, 3, 2, 1, 3, 2, 0, 2, 3, 4, 0, 1, 2, 0, 1, 3, 1, 3, 2, 2, 3, 2, 4, 1, 0, 1, 4, 1, 4, 0, 0, 1, 0, 2, 4, 1, 0, 3, 3, 3, 4, 4, 3, 3, 1, 4, 4, 2, 0, 4, 0, 4, 3, 4, 1, 0, 4, 2, 4, 3, 4, 1, 3, 1, 1, 0, 2, 1, 4, 2, 2, 3, 4, 0, 0, 3, 4, 0, 2, 0, 0, 1, 4, 2, 1, 2, 0, 2, 1, 3, 3, 3, 2, 1, 3, 1, 2, 2, 1, 1, 4, 2, 4, 3, 3, 4, 3, 1, 0, 1, 4, 2, 0, 1, 4, 2, 1, 2, 1, 0, 4, 2, 0, 4, 1]
pubkeycol537 = [4, 4, 2, 1, 4, 2, 2, 3, 0, 0, 0, 4, 0, 0, 3, 0, 3, 2, 0, 2, 4, 4, 0, 1, 1, 4, 4, 1, 2, 2, 0, 3, 4, 1, 1, 2, 2, 1, 2, 1, 1, 0, 3, 2, 4, 2, 1, 1, 2, 3, 4, 3, 1, 0, 4, 2, 0, 0, 1, 2, 1, 2, 0, 4, 2, 0, 2, 4, 2, 1, 0, 0, 4, 0, 0, 1, 3, 1, 0, 4, 3, 1, 4, 1, 4, 0, 1, 4, 3, 1, 4, 2, 1, 1, 1, 4, 0, 4, 2, 1, 0, 4, 1, 0, 1, 0, 3, 0, 2, 3, 3, 1, 0, 4, 2, 1, 3, 0, 4, 4, 1, 2, 1, 3, 4, 4, 1, 1, 2, 2, 4, 4, 2, 0, 4, 3, 2, 3, 2, 3, 1, 0, 4, 2, 3, 0, 0, 0, 1, 0, 2, 3, 2, 4, 2, 3, 1, 4, 0, 2, 0, 2, 0, 3, 1, 0, 4, 0, 4, 4, 2, 4, 4, 1, 1, 1, 2, 1, 0, 2, 4, 0, 3, 0, 2, 2, 0, 0, 0, 4, 3, 4, 1, 4, 3, 4, 2, 2, 4, 4, 0, 3, 1, 2, 2, 1, 3, 2, 4, 4, 2, 1, 2, 4, 0, 4, 4, 2, 3, 3, 3, 1, 4, 1, 0, 0, 1, 1, 4, 1, 2, 2, 3, 4, 3, 3, 1, 1, 3, 4, 1, 1, 2, 1, 4, 1, 0, 2, 1, 0, 2, 2, 0, 0, 3, 1, 3, 2, 2, 4, 4, 1, 1, 3, 4, 4, 3, 1, 3, 1, 2, 1, 3, 2, 1, 0, 4, 0, 2, 4, 3, 0, 2, 0, 1, 0, 0, 2, 3, 0, 4, 4, 0, 2, 1, 1, 2, 2, 0, 4, 0, 2, 4, 2, 3, 0, 3, 4, 2, 3, 3, 1, 4, 2, 3, 2, 0, 2, 0, 1, 0, 2, 1, 1, 3, 2, 1, 4, 2, 0, 0, 4, 1, 0, 0, 2, 2, 0, 1, 4, 4, 4, 1, 1, 3, 0, 2, 1, 1, 0, 0, 3, 4, 3, 1, 0, 0, 4, 4, 0, 0, 4, 2, 4, 1, 3, 2, 3, 4, 2, 0, 4, 3, 1, 1, 2, 3, 4, 1, 0, 3, 4, 4, 0, 3, 1, 3, 4, 0, 0, 1, 1, 0, 1, 4, 0, 3, 2, 1, 1]
pubkeycol538 = [1, 1, 1, 4, 2, 2, 2, 1, 4, 1, 3, 4, 0, 3, 4, 3, 3, 2, 4, 0, 2, 0, 0, 1, 2, 3, 0, 0, 2, 3, 1, 1, 1, 1, 4, 1, 2, 3, 0, 4, 3, 3, 4, 3, 3, 4, 4, 4, 0, 2, 4, 1, 2, 1, 2, 4, 1, 4, 0, 0, 0, 3, 3, 3, 4, 4, 2, 3, 0, 3, 3, 0, 3, 4, 3, 2, 3, 2, 0, 3, 0, 3, 0, 4, 0, 3, 2, 4, 2, 2, 2, 2, 2, 0, 3, 2, 0, 1, 2, 3, 3, 3, 1, 0, 2, 4, 0, 3, 4, 4, 1, 0, 1, 4, 1, 2, 0, 3, 0, 4, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 3, 2, 3, 0, 1, 1, 0, 1, 4, 1, 2, 0, 0, 1, 2, 0, 0, 1, 4, 2, 0, 3, 2, 1, 3, 1, 4, 1, 1, 0, 2, 3, 4, 4, 4, 3, 3, 3, 1, 3, 4, 0, 4, 1, 0, 0, 1, 1, 0, 0, 4, 4, 4, 3, 4, 2, 3, 0, 4, 1, 0, 0, 2, 3, 2, 0, 3, 4, 0, 3, 3, 4, 4, 4, 4, 4, 3, 2, 0, 1, 1, 1, 0, 4, 0, 4, 3, 4, 1, 0, 3, 1, 4, 0, 4, 2, 4, 4, 4, 3, 3, 2, 0, 3, 0, 4, 1, 0, 4, 0, 1, 2, 4, 0, 3, 4, 1, 1, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 3, 0, 2, 2, 1, 4, 0, 1, 4, 4, 4, 4, 3, 3, 1, 4, 4, 2, 0, 1, 2, 2, 2, 0, 2, 3, 4, 0, 2, 1, 4, 1, 2, 1, 1, 4, 0, 0, 1, 4, 4, 1, 3, 0, 2, 2, 4, 2, 0, 2, 2, 2, 2, 1, 3, 4, 4, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 4, 1, 1, 3, 0, 4, 0, 4, 2, 4, 0, 4, 3, 1, 4, 2, 2, 2, 4, 2, 2, 2, 0, 0, 2, 3, 4, 2, 0, 1, 1, 0, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 1, 1, 2, 3, 0, 0, 0, 3, 2, 0, 0, 0, 4, 0, 0, 1, 3, 0, 0, 3, 1, 2, 1, 3, 3, 0, 1, 2]
pubkeycol539 = [4, 1, 0, 2, 4, 3, 2, 2, 1, 1, 1, 3, 1, 4, 3, 1, 4, 3, 2, 0, 2, 1, 1, 0, 0, 2, 4, 1, 1, 2, 0, 0, 2, 2, 0, 1, 3, 3, 4, 2, 3, 4, 1, 1, 2, 0, 4, 4, 2, 4, 3, 0, 3, 4, 0, 2, 0, 0, 4, 1, 1, 1, 3, 1, 3, 0, 4, 4, 4, 3, 3, 1, 0, 0, 0, 0, 2, 1, 4, 2, 2, 4, 1, 0, 0, 1, 2, 2, 0, 2, 0, 3, 3, 0, 4, 2, 3, 4, 1, 3, 3, 4, 2, 4, 3, 2, 3, 3, 1, 4, 0, 0, 0, 1, 4, 1, 0, 2, 0, 3, 3, 4, 2, 2, 3, 3, 3, 1, 3, 1, 3, 2, 1, 0, 0, 1, 3, 3, 1, 0, 1, 4, 0, 4, 1, 4, 3, 0, 1, 4, 2, 0, 0, 2, 3, 2, 3, 4, 1, 2, 1, 4, 4, 1, 3, 2, 3, 1, 4, 3, 1, 0, 1, 0, 4, 0, 0, 2, 1, 4, 2, 3, 2, 3, 3, 3, 1, 4, 3, 2, 3, 2, 4, 4, 0, 0, 4, 4, 4, 0, 3, 3, 1, 0, 2, 4, 0, 4, 3, 4, 3, 2, 1, 4, 0, 2, 0, 4, 4, 4, 0, 3, 4, 3, 0, 1, 3, 1, 1, 0, 0, 3, 4, 4, 2, 2, 3, 3, 4, 0, 2, 0, 4, 2, 0, 4, 4, 3, 0, 4, 0, 1, 1, 1, 3, 0, 1, 0, 0, 3, 3, 1, 4, 1, 3, 4, 4, 3, 3, 1, 3, 1, 1, 1, 1, 2, 2, 4, 2, 0, 0, 0, 3, 1, 1, 4, 3, 3, 3, 4, 2, 3, 4, 2, 4, 1, 3, 4, 0, 0, 2, 3, 1, 4, 2, 1, 1, 2, 0, 1, 1, 0, 1, 3, 3, 1, 2, 4, 2, 2, 0, 3, 3, 0, 1, 1, 1, 4, 0, 4, 4, 2, 1, 3, 0, 4, 2, 0, 1, 4, 1, 1, 2, 0, 3, 1, 4, 1, 4, 0, 4, 2, 1, 2, 3, 2, 2, 4, 2, 3, 0, 1, 4, 3, 3, 4, 0, 4, 4, 0, 1, 4, 1, 4, 4, 1, 4, 2, 2, 3, 1, 2, 2, 1, 1, 2, 0, 4, 2, 2, 0, 3, 2, 4, 3, 3, 2, 2, 1, 0]
pubkeycol540 = [1, 3, 4, 0, 0, 3, 1, 2, 2, 0, 1, 1, 0, 1, 4, 0, 2, 0, 2, 1, 4, 4, 2, 0, 2, 4, 4, 4, 4, 2, 2, 0, 4, 0, 4, 4, 1, 2, 4, 3, 3, 0, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 4, 0, 4, 0, 1, 0, 2, 0, 4, 3, 1, 1, 2, 4, 3, 1, 2, 3, 4, 0, 1, 2, 4, 2, 1, 2, 4, 1, 4, 3, 0, 3, 0, 4, 2, 0, 2, 2, 4, 2, 2, 3, 1, 0, 2, 3, 0, 1, 2, 0, 1, 3, 3, 2, 4, 3, 3, 2, 3, 0, 3, 2, 4, 1, 3, 3, 0, 1, 2, 2, 4, 2, 1, 2, 0, 1, 4, 0, 3, 2, 2, 3, 1, 3, 4, 3, 2, 4, 0, 1, 3, 3, 1, 1, 2, 1, 3, 1, 4, 2, 1, 0, 2, 0, 1, 0, 2, 4, 4, 4, 4, 1, 2, 3, 1, 0, 0, 0, 3, 1, 4, 3, 2, 4, 0, 4, 2, 2, 3, 0, 4, 0, 2, 0, 2, 3, 1, 3, 3, 2, 3, 0, 2, 4, 2, 1, 1, 0, 4, 4, 0, 4, 0, 3, 3, 4, 1, 2, 3, 0, 3, 3, 1, 2, 2, 1, 4, 2, 3, 2, 2, 2, 3, 0, 3, 4, 4, 4, 3, 2, 0, 2, 2, 3, 2, 4, 3, 4, 0, 3, 4, 4, 2, 1, 0, 0, 0, 4, 1, 0, 2, 4, 1, 3, 0, 4, 1, 2, 4, 3, 3, 0, 4, 0, 3, 2, 1, 1, 1, 2, 4, 3, 2, 1, 3, 2, 1, 4, 4, 4, 3, 0, 3, 1, 1, 0, 3, 4, 4, 2, 3, 1, 3, 4, 2, 3, 1, 2, 4, 4, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 0, 2, 2, 4, 0, 1, 4, 4, 3, 3, 0, 4, 3, 2, 3, 2, 3, 1, 0, 4, 2, 1, 2, 4, 4, 3, 3, 2, 3, 2, 0, 1, 0, 1, 0, 2, 2, 3, 2, 2, 4, 1, 1, 4, 4, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 3, 0, 1, 3, 0, 2, 4, 0, 3, 2, 4, 0, 0, 4, 3, 3, 4, 3, 3, 2, 0, 4, 2, 4, 2, 1, 0, 2, 2, 2]
pubkeycol541 = [4, 3, 3, 4, 1, 2, 4, 4, 1, 0, 2, 2, 3, 4, 2, 1, 1, 1, 1, 2, 2, 4, 1, 4, 4, 4, 3, 1, 1, 0, 1, 3, 0, 2, 3, 0, 4, 0, 3, 1, 2, 2, 3, 0, 2, 0, 0, 3, 0, 0, 1, 4, 4, 1, 0, 0, 3, 2, 3, 3, 0, 0, 3, 4, 1, 4, 3, 3, 4, 3, 1, 0, 2, 0, 4, 4, 4, 2, 1, 2, 3, 3, 3, 0, 1, 4, 3, 2, 0, 3, 4, 1, 4, 4, 3, 3, 4, 0, 1, 2, 2, 1, 4, 3, 4, 0, 4, 2, 4, 2, 0, 1, 0, 3, 1, 1, 0, 4, 4, 1, 1, 2, 4, 3, 4, 0, 4, 3, 0, 3, 1, 1, 3, 0, 3, 4, 1, 0, 4, 4, 2, 4, 2, 3, 3, 1, 2, 4, 3, 3, 0, 3, 2, 3, 1, 4, 0, 2, 3, 0, 2, 2, 3, 2, 4, 2, 0, 1, 3, 3, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 0, 3, 1, 0, 1, 3, 2, 4, 0, 1, 3, 0, 4, 1, 2, 3, 4, 2, 4, 0, 0, 0, 2, 3, 3, 4, 1, 4, 3, 3, 0, 2, 3, 2, 1, 4, 0, 3, 3, 1, 2, 4, 1, 1, 2, 1, 2, 3, 3, 1, 3, 0, 3, 4, 0, 2, 0, 4, 1, 2, 1, 2, 3, 1, 4, 0, 1, 4, 1, 2, 4, 4, 1, 3, 2, 1, 1, 4, 4, 2, 4, 4, 2, 0, 3, 3, 2, 1, 1, 3, 2, 3, 0, 1, 3, 3, 3, 2, 3, 4, 3, 1, 2, 0, 0, 4, 1, 3, 1, 4, 4, 2, 0, 0, 3, 0, 2, 2, 4, 4, 1, 1, 4, 0, 0, 0, 3, 4, 0, 2, 1, 1, 0, 3, 3, 0, 4, 0, 4, 1, 2, 1, 3, 4, 0, 3, 1, 0, 3, 3, 3, 3, 1, 3, 2, 4, 0, 2, 3, 4, 4, 1, 2, 0, 0, 0, 4, 2, 3, 1, 4, 1, 4, 4, 1, 0, 1, 0, 3, 4, 2, 3, 4, 4, 4, 0, 1, 4, 2, 1, 1, 2, 2, 4, 2, 1, 1, 4, 4, 3, 2, 1, 3, 1, 4, 2, 2, 0, 1, 4, 3, 2, 1, 3, 1, 4, 1, 1]
pubkeycol542 = [0, 0, 2, 3, 1, 4, 3, 2, 4, 2, 3, 0, 0, 2, 4, 3, 2, 1, 3, 0, 2, 3, 4, 3, 0, 1, 2, 0, 1, 4, 3, 0, 1, 2, 3, 0, 2, 1, 2, 3, 1, 1, 3, 4, 3, 3, 3, 2, 0, 1, 2, 1, 3, 4, 1, 2, 0, 2, 2, 1, 2, 3, 2, 0, 3, 0, 0, 2, 1, 2, 3, 4, 2, 0, 2, 4, 4, 4, 1, 1, 1, 3, 2, 2, 4, 2, 1, 2, 4, 0, 1, 3, 4, 2, 4, 3, 2, 0, 0, 0, 2, 1, 4, 0, 0, 0, 2, 2, 0, 3, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 3, 4, 3, 3, 2, 2, 3, 0, 1, 1, 3, 2, 3, 3, 3, 4, 2, 4, 2, 3, 4, 0, 2, 3, 2, 1, 1, 4, 0, 4, 1, 0, 1, 2, 0, 0, 1, 0, 1, 3, 1, 2, 3, 3, 1, 4, 0, 3, 0, 3, 1, 4, 3, 1, 4, 1, 0, 2, 4, 1, 3, 3, 4, 4, 3, 1, 4, 3, 1, 2, 1, 1, 1, 4, 4, 2, 2, 1, 3, 2, 3, 4, 0, 1, 3, 3, 0, 2, 3, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 4, 0, 0, 4, 4, 3, 4, 1, 0, 1, 2, 1, 2, 1, 4, 0, 1, 2, 0, 2, 3, 2, 2, 1, 1, 2, 4, 2, 1, 0, 4, 1, 2, 2, 0, 3, 0, 3, 4, 2, 2, 2, 2, 4, 2, 2, 4, 1, 3, 1, 4, 3, 0, 2, 1, 4, 0, 3, 1, 1, 4, 2, 1, 0, 0, 3, 1, 1, 2, 4, 2, 3, 0, 0, 2, 1, 3, 2, 4, 4, 0, 2, 4, 2, 3, 4, 4, 1, 2, 0, 3, 2, 2, 2, 2, 4, 0, 1, 0, 1, 0, 0, 3, 4, 0, 3, 0, 1, 3, 4, 3, 1, 1, 4, 1, 1, 2, 2, 3, 4, 0, 3, 0, 0, 0, 4, 4, 1, 4, 1, 4, 1, 4, 4, 2, 3, 4, 0, 2, 2, 3, 4, 2, 4, 3, 0, 2, 1, 4, 1, 4, 1, 4, 4, 4, 3, 0, 1, 0, 3, 0, 0, 1, 1, 0, 2, 1, 3, 1, 4, 3, 0, 2, 0, 3, 4, 2, 3, 3, 1, 4]
pubkeycol543 = [3, 3, 0, 3, 0, 3, 3, 3, 1, 3, 1, 4, 3, 0, 4, 2, 4, 3, 4, 4, 0, 3, 0, 4, 0, 4, 0, 0, 0, 3, 1, 1, 0, 4, 3, 1, 2, 4, 4, 1, 4, 4, 4, 1, 4, 1, 3, 1, 1, 3, 4, 2, 3, 2, 4, 4, 4, 4, 4, 2, 0, 2, 3, 2, 3, 1, 1, 0, 2, 3, 0, 2, 0, 3, 0, 2, 0, 3, 3, 4, 3, 2, 4, 1, 4, 2, 2, 1, 0, 4, 4, 0, 3, 0, 2, 2, 0, 2, 3, 4, 1, 3, 2, 4, 2, 0, 0, 2, 1, 2, 4, 0, 2, 3, 2, 2, 4, 2, 3, 4, 2, 4, 3, 3, 3, 1, 0, 4, 0, 2, 3, 0, 4, 1, 1, 1, 1, 0, 4, 4, 4, 3, 1, 4, 3, 3, 2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 1, 4, 4, 3, 1, 4, 3, 3, 0, 0, 3, 3, 3, 3, 1, 0, 3, 0, 2, 4, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 4, 3, 1, 4, 2, 2, 4, 2, 3, 2, 4, 4, 3, 1, 0, 2, 2, 3, 3, 0, 3, 4, 2, 0, 2, 1, 2, 0, 0, 2, 4, 2, 4, 0, 4, 1, 1, 0, 3, 0, 2, 2, 3, 0, 2, 3, 0, 1, 1, 2, 2, 4, 0, 3, 4, 0, 1, 4, 3, 2, 3, 3, 0, 4, 0, 4, 0, 4, 2, 3, 2, 2, 3, 1, 4, 0, 4, 0, 3, 0, 0, 4, 0, 4, 0, 0, 3, 3, 4, 3, 3, 4, 1, 4, 2, 0, 1, 0, 1, 1, 2, 2, 2, 4, 0, 4, 1, 0, 4, 0, 0, 1, 3, 4, 1, 1, 1, 4, 0, 4, 1, 3, 4, 3, 0, 0, 1, 0, 1, 1, 2, 2, 3, 0, 4, 3, 4, 0, 4, 0, 3, 3, 0, 1, 0, 0, 3, 0, 2, 1, 1, 2, 1, 3, 4, 1, 0, 0, 4, 0, 3, 3, 2, 4, 4, 0, 2, 4, 4, 0, 2, 1, 1, 2, 0, 3, 2, 2, 0, 2, 4, 0, 3, 4, 2, 1, 4, 1, 0, 2, 0, 2, 3, 2, 0, 0, 4, 4, 1, 1, 2, 4, 4, 1, 0, 3]
pubkeycol544 = [1, 3, 1, 2, 3, 4, 3, 4, 1, 1, 0, 4, 2, 1, 1, 2, 3, 0, 1, 3, 0, 0, 4, 4, 4, 1, 1, 0, 2, 2, 2, 3, 0, 2, 3, 2, 3, 3, 2, 3, 3, 4, 0, 0, 3, 3, 2, 3, 2, 0, 2, 2, 1, 4, 4, 0, 1, 1, 2, 2, 3, 2, 4, 1, 0, 3, 0, 0, 4, 4, 3, 0, 1, 1, 2, 3, 4, 1, 3, 1, 2, 1, 0, 2, 0, 2, 4, 4, 1, 0, 4, 4, 2, 2, 2, 2, 1, 1, 2, 3, 4, 4, 3, 1, 3, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 4, 0, 1, 3, 2, 3, 0, 3, 1, 1, 1, 1, 3, 4, 0, 4, 1, 4, 3, 2, 3, 1, 4, 1, 0, 0, 2, 3, 4, 4, 0, 0, 2, 4, 1, 1, 3, 2, 3, 4, 3, 2, 0, 0, 2, 2, 1, 3, 0, 4, 3, 1, 3, 1, 1, 1, 1, 2, 3, 1, 4, 2, 3, 0, 3, 2, 1, 0, 0, 0, 3, 1, 0, 1, 2, 1, 0, 4, 0, 3, 2, 3, 4, 3, 1, 0, 4, 4, 4, 4, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 2, 2, 3, 2, 1, 4, 4, 3, 4, 0, 4, 3, 2, 3, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 4, 0, 2, 4, 4, 4, 4, 1, 2, 2, 4, 1, 3, 3, 2, 4, 0, 3, 0, 1, 4, 0, 3, 4, 0, 4, 3, 4, 4, 1, 4, 2, 3, 4, 1, 3, 4, 0, 0, 1, 0, 0, 0, 4, 2, 4, 3, 4, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 1, 0, 2, 1, 4, 2, 3, 0, 0, 4, 3, 4, 4, 2, 2, 1, 0, 4, 3, 1, 3, 1, 4, 0, 2, 2, 0, 3, 2, 3, 4, 2, 1, 3, 2, 4, 1, 1, 0, 0, 4, 2, 2, 1, 0, 0, 2, 1, 4, 3, 4, 0, 4, 1, 3, 4, 1, 3, 3, 4, 3, 1, 3, 4, 2, 0, 2, 4, 1, 2, 4, 0, 1, 4, 2, 3, 2, 3, 2, 4, 4, 0, 1, 4, 0, 2, 2, 3, 0, 2, 4, 0, 1]
pubkeycol545 = [1, 4, 4, 1, 3, 1, 0, 1, 3, 3, 4, 3, 0, 4, 2, 2, 2, 4, 1, 2, 2, 3, 0, 0, 3, 1, 1, 1, 3, 1, 2, 2, 2, 3, 0, 0, 4, 2, 1, 3, 3, 3, 4, 0, 3, 4, 3, 1, 1, 0, 4, 2, 0, 3, 1, 1, 4, 4, 0, 3, 1, 2, 4, 3, 3, 3, 3, 0, 1, 0, 3, 4, 1, 0, 3, 0, 2, 1, 2, 4, 0, 4, 2, 0, 3, 2, 2, 4, 4, 3, 3, 4, 2, 0, 3, 3, 3, 2, 4, 4, 0, 1, 1, 0, 3, 4, 4, 3, 2, 0, 4, 2, 1, 0, 2, 2, 0, 4, 3, 0, 1, 0, 4, 4, 4, 0, 3, 0, 2, 2, 4, 0, 3, 2, 2, 0, 3, 1, 2, 1, 3, 4, 3, 2, 4, 2, 3, 2, 1, 0, 1, 3, 3, 2, 0, 2, 4, 2, 3, 2, 4, 1, 2, 3, 1, 3, 3, 0, 1, 1, 4, 1, 3, 4, 0, 2, 4, 3, 0, 0, 0, 4, 3, 3, 1, 4, 3, 0, 2, 1, 2, 2, 0, 3, 2, 0, 0, 1, 0, 2, 4, 1, 1, 4, 3, 1, 4, 2, 3, 3, 4, 1, 4, 4, 2, 3, 0, 4, 0, 4, 0, 3, 0, 2, 1, 0, 4, 1, 4, 4, 2, 4, 3, 4, 4, 0, 1, 0, 1, 4, 3, 2, 1, 0, 1, 4, 0, 3, 0, 4, 1, 2, 3, 3, 4, 4, 1, 0, 2, 1, 4, 3, 3, 1, 2, 4, 4, 2, 1, 4, 1, 2, 3, 3, 0, 2, 1, 0, 4, 1, 2, 4, 3, 3, 2, 3, 1, 4, 2, 2, 4, 1, 1, 2, 1, 1, 2, 0, 1, 3, 1, 4, 1, 4, 2, 0, 0, 4, 3, 4, 1, 1, 3, 3, 0, 3, 3, 3, 1, 0, 0, 3, 2, 3, 1, 3, 4, 0, 3, 2, 0, 4, 4, 1, 4, 4, 4, 2, 2, 4, 4, 2, 2, 4, 1, 1, 4, 2, 1, 1, 4, 3, 4, 3, 1, 2, 0, 3, 1, 2, 2, 0, 0, 1, 2, 3, 0, 1, 2, 2, 4, 0, 1, 4, 1, 3, 0, 1, 0, 2, 1, 3, 1, 0, 1, 4, 1, 4, 2, 2, 3, 0, 2, 0, 3, 1, 0, 0, 1, 1]
pubkeycol546 = [2, 4, 1, 2, 1, 3, 0, 4, 4, 2, 4, 2, 2, 0, 3, 3, 1, 0, 1, 2, 4, 4, 1, 3, 2, 4, 0, 2, 2, 2, 0, 4, 1, 2, 3, 0, 3, 2, 1, 0, 2, 0, 1, 3, 1, 1, 4, 1, 0, 0, 3, 3, 2, 4, 4, 1, 3, 3, 1, 0, 3, 3, 4, 0, 4, 3, 4, 4, 1, 1, 2, 4, 0, 3, 2, 4, 3, 0, 1, 1, 2, 4, 2, 1, 1, 1, 4, 1, 3, 2, 2, 2, 0, 0, 3, 0, 0, 2, 3, 0, 4, 0, 1, 3, 4, 1, 2, 0, 4, 0, 0, 2, 0, 0, 0, 1, 0, 4, 1, 0, 1, 0, 3, 0, 0, 3, 1, 4, 3, 3, 4, 3, 3, 0, 2, 2, 3, 2, 0, 4, 3, 0, 1, 3, 1, 0, 4, 0, 4, 1, 2, 2, 1, 2, 2, 3, 0, 2, 3, 0, 4, 3, 1, 3, 2, 3, 2, 0, 0, 1, 0, 4, 0, 2, 0, 4, 1, 0, 0, 3, 0, 4, 0, 4, 2, 2, 3, 4, 1, 4, 3, 1, 0, 0, 4, 4, 2, 0, 4, 0, 1, 4, 1, 3, 4, 2, 3, 1, 1, 3, 0, 4, 2, 2, 1, 1, 1, 1, 0, 1, 4, 0, 3, 1, 1, 1, 4, 1, 0, 2, 2, 1, 0, 4, 0, 2, 0, 0, 1, 1, 4, 1, 1, 0, 1, 2, 3, 1, 0, 3, 0, 4, 0, 1, 3, 0, 4, 3, 0, 4, 3, 2, 4, 0, 3, 3, 2, 3, 4, 1, 3, 4, 3, 1, 3, 0, 1, 3, 3, 3, 4, 2, 0, 4, 0, 2, 2, 4, 2, 0, 2, 4, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 0, 0, 3, 2, 3, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 0, 0, 3, 0, 1, 0, 4, 4, 4, 0, 1, 2, 3, 0, 2, 4, 3, 1, 4, 3, 0, 0, 3, 4, 3, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 0, 3, 0, 2, 0, 4, 3, 1, 0, 1, 4, 4, 1, 1, 1, 1, 3, 0, 3, 2, 3, 2, 4, 0, 1, 2, 0, 2, 4, 1, 0, 1]
pubkeycol547 = [4, 1, 0, 4, 0, 4, 0, 4, 4, 0, 1, 1, 0, 2, 3, 2, 0, 0, 4, 3, 2, 3, 1, 4, 1, 4, 4, 2, 2, 0, 0, 4, 4, 4, 4, 3, 3, 0, 4, 2, 4, 1, 4, 3, 4, 2, 4, 0, 3, 2, 0, 4, 2, 0, 2, 0, 0, 3, 4, 0, 4, 1, 0, 0, 4, 0, 2, 1, 1, 2, 2, 4, 2, 3, 1, 0, 3, 4, 3, 4, 1, 2, 2, 1, 0, 0, 3, 1, 2, 0, 2, 0, 1, 3, 4, 1, 0, 3, 1, 3, 3, 4, 1, 2, 0, 0, 2, 2, 4, 2, 0, 4, 2, 0, 2, 4, 4, 0, 3, 4, 0, 1, 4, 0, 3, 0, 0, 2, 0, 0, 2, 2, 4, 3, 0, 3, 2, 4, 3, 1, 3, 1, 3, 0, 1, 2, 0, 1, 0, 2, 4, 0, 1, 4, 4, 2, 0, 2, 3, 4, 4, 3, 4, 2, 2, 1, 2, 3, 3, 0, 2, 4, 1, 4, 3, 3, 0, 1, 2, 1, 3, 1, 3, 3, 3, 1, 0, 3, 4, 1, 0, 2, 1, 0, 3, 2, 0, 1, 3, 2, 2, 0, 4, 4, 0, 2, 4, 3, 3, 2, 4, 2, 2, 2, 4, 2, 4, 4, 1, 0, 4, 2, 2, 1, 1, 1, 3, 3, 4, 3, 1, 3, 4, 1, 4, 1, 1, 4, 4, 1, 0, 1, 2, 2, 0, 1, 3, 0, 3, 3, 1, 0, 0, 1, 3, 2, 3, 1, 3, 2, 2, 3, 1, 0, 4, 1, 0, 4, 1, 3, 4, 1, 4, 4, 2, 4, 4, 3, 2, 1, 4, 3, 3, 2, 0, 1, 2, 2, 0, 3, 3, 1, 4, 0, 4, 2, 3, 3, 0, 0, 3, 1, 1, 1, 0, 1, 4, 3, 0, 3, 4, 2, 2, 2, 4, 1, 2, 2, 0, 1, 3, 0, 2, 4, 4, 4, 1, 1, 3, 3, 1, 1, 1, 2, 4, 0, 0, 3, 4, 3, 4, 2, 0, 3, 3, 0, 4, 1, 4, 4, 0, 2, 2, 3, 3, 4, 4, 0, 2, 2, 2, 3, 0, 0, 0, 2, 0, 2, 0, 3, 2, 1, 1, 2, 0, 1, 1, 2, 2, 3, 3, 1, 1, 3, 1, 4, 4, 1, 0, 0, 0, 3, 0, 1, 1, 1, 1, 4, 4, 1]
pubkeycol548 = [2, 2, 3, 0, 2, 0, 4, 2, 3, 3, 3, 2, 4, 1, 2, 0, 3, 3, 3, 3, 2, 1, 1, 4, 2, 4, 1, 3, 1, 1, 2, 2, 0, 3, 4, 0, 2, 2, 4, 1, 0, 0, 1, 3, 3, 2, 0, 3, 3, 4, 4, 0, 4, 4, 2, 0, 2, 2, 0, 0, 4, 3, 3, 3, 3, 0, 1, 4, 0, 1, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 3, 2, 3, 2, 3, 4, 4, 4, 2, 4, 4, 1, 3, 0, 1, 3, 1, 2, 3, 2, 4, 1, 3, 4, 0, 4, 4, 3, 2, 2, 3, 2, 3, 3, 4, 1, 2, 4, 3, 2, 0, 0, 4, 2, 1, 4, 0, 1, 3, 4, 2, 1, 3, 4, 3, 2, 4, 1, 2, 1, 3, 3, 0, 3, 0, 0, 2, 1, 2, 0, 2, 4, 4, 2, 2, 2, 1, 4, 3, 0, 0, 3, 1, 0, 0, 2, 1, 4, 3, 0, 0, 3, 3, 1, 1, 1, 4, 1, 3, 2, 4, 2, 0, 2, 1, 2, 2, 3, 0, 1, 3, 4, 3, 1, 4, 2, 0, 1, 1, 4, 3, 3, 1, 2, 4, 4, 0, 3, 1, 4, 3, 3, 0, 4, 1, 4, 2, 0, 2, 3, 4, 1, 2, 3, 4, 4, 2, 0, 0, 0, 4, 2, 0, 3, 3, 3, 2, 0, 2, 4, 3, 3, 2, 1, 3, 2, 1, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 4, 1, 2, 0, 1, 4, 1, 2, 3, 3, 0, 0, 0, 4, 1, 2, 0, 0, 0, 1, 3, 3, 0, 0, 1, 1, 4, 4, 3, 1, 3, 4, 3, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 3, 4, 2, 4, 0, 4, 0, 0, 0, 4, 4, 3, 1, 0, 4, 1, 2, 3, 4, 0, 0, 3, 0, 2, 0, 1, 1, 3, 0, 4, 3, 4, 0, 0, 1, 0, 1, 4, 2, 1, 0, 0, 3, 0, 0, 4, 3, 2, 2, 3, 1, 3, 2, 2, 4, 3, 1, 2, 1, 0, 0, 0, 2, 2, 4, 3, 2, 3, 4, 1, 1, 3, 0, 2, 2, 1, 1, 1, 2, 4, 1, 3, 3, 4, 2, 2, 0, 0, 3, 0]
pubkeycol549 = [1, 4, 2, 0, 3, 3, 4, 3, 2, 0, 2, 2, 3, 2, 4, 1, 1, 3, 3, 3, 1, 4, 2, 4, 4, 3, 4, 2, 2, 0, 3, 3, 0, 0, 4, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 3, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 4, 0, 3, 2, 4, 2, 3, 4, 2, 3, 2, 1, 0, 3, 2, 1, 4, 0, 0, 3, 3, 4, 3, 1, 2, 2, 1, 1, 3, 1, 2, 3, 3, 1, 0, 4, 1, 0, 2, 0, 0, 4, 0, 3, 0, 2, 3, 1, 4, 4, 0, 3, 4, 4, 3, 2, 2, 2, 0, 3, 2, 1, 3, 3, 1, 1, 3, 4, 3, 0, 0, 3, 4, 2, 2, 0, 4, 0, 4, 0, 2, 4, 4, 3, 4, 1, 1, 3, 0, 4, 4, 2, 2, 3, 2, 3, 4, 1, 3, 2, 4, 3, 3, 4, 0, 2, 4, 0, 4, 4, 2, 2, 3, 1, 0, 0, 4, 4, 2, 3, 3, 2, 2, 0, 2, 3, 2, 0, 0, 2, 4, 3, 2, 1, 1, 1, 4, 1, 3, 2, 2, 0, 1, 1, 0, 0, 2, 4, 1, 1, 4, 0, 2, 4, 2, 4, 1, 2, 3, 4, 4, 2, 4, 3, 0, 0, 4, 0, 2, 2, 0, 1, 2, 1, 0, 3, 1, 1, 3, 4, 0, 0, 4, 1, 3, 4, 0, 0, 0, 0, 2, 4, 1, 4, 2, 3, 0, 1, 4, 1, 2, 4, 4, 0, 3, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 4, 4, 3, 1, 1, 3, 2, 1, 2, 3, 3, 3, 4, 1, 3, 0, 4, 4, 2, 2, 0, 3, 4, 3, 0, 0, 1, 4, 3, 2, 0, 1, 0, 0, 2, 2, 4, 1, 2, 4, 3, 1, 1, 0, 0, 4, 4, 1, 1, 3, 4, 2, 2, 4, 4, 2, 1, 1, 3, 0, 3, 4, 1, 2, 3, 1, 3, 3, 0, 4, 0, 0, 3, 2, 0, 2, 3, 1, 3, 0, 1, 4, 4, 2, 4, 4, 0, 0, 1, 1, 4, 0, 2, 3, 0, 3, 2, 3, 0, 0, 1, 1, 0, 3, 1, 2, 4, 3, 4, 1, 3, 4, 2, 3, 1, 0, 4, 4, 1, 1, 2, 0, 3, 0, 4, 2, 4]
pubkeycol550 = [4, 2, 2, 3, 4, 4, 3, 2, 4, 2, 1, 3, 3, 2, 2, 3, 1, 1, 0, 1, 0, 1, 0, 2, 0, 3, 1, 2, 1, 0, 0, 3, 4, 1, 3, 2, 1, 4, 1, 0, 0, 3, 3, 1, 1, 3, 1, 3, 2, 4, 4, 0, 4, 3, 3, 1, 0, 2, 0, 2, 1, 2, 0, 4, 3, 2, 4, 1, 4, 1, 0, 1, 0, 2, 3, 1, 3, 3, 0, 2, 2, 2, 2, 1, 3, 2, 3, 3, 1, 3, 2, 1, 2, 0, 1, 2, 0, 3, 4, 2, 2, 4, 4, 3, 3, 2, 1, 3, 4, 2, 2, 4, 0, 3, 0, 1, 4, 1, 2, 4, 4, 1, 3, 0, 2, 0, 3, 3, 3, 0, 3, 1, 1, 4, 0, 3, 4, 4, 4, 3, 4, 0, 4, 3, 3, 4, 0, 2, 2, 0, 4, 0, 2, 0, 0, 1, 2, 3, 1, 3, 4, 1, 1, 0, 0, 4, 1, 0, 4, 2, 3, 1, 0, 1, 3, 3, 4, 1, 3, 2, 2, 3, 4, 0, 1, 3, 1, 0, 1, 2, 3, 3, 3, 0, 3, 3, 3, 4, 4, 3, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 4, 1, 2, 2, 2, 1, 4, 1, 2, 3, 2, 4, 2, 3, 1, 3, 4, 1, 0, 2, 0, 2, 3, 0, 3, 4, 3, 2, 1, 2, 3, 0, 2, 1, 0, 1, 1, 0, 4, 1, 2, 4, 2, 0, 4, 4, 4, 2, 2, 1, 3, 1, 0, 2, 1, 4, 0, 0, 2, 4, 3, 4, 2, 1, 4, 2, 1, 0, 0, 3, 0, 2, 4, 4, 1, 0, 4, 2, 2, 4, 4, 0, 0, 0, 3, 1, 3, 4, 0, 3, 3, 0, 2, 1, 3, 4, 0, 0, 4, 1, 4, 3, 2, 0, 0, 1, 4, 3, 1, 2, 0, 0, 2, 2, 3, 1, 1, 4, 2, 4, 0, 2, 4, 1, 2, 2, 2, 2, 1, 3, 0, 3, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 3, 0, 3, 4, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 4, 3, 4, 3, 4, 3, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 3, 2, 0, 2, 2, 4, 1, 4, 0, 3, 1, 1, 1, 0]
pubkeycol551 = [2, 0, 2, 0, 0, 4, 4, 3, 3, 0, 2, 3, 2, 2, 1, 4, 2, 0, 2, 2, 0, 2, 0, 3, 3, 0, 1, 4, 0, 2, 4, 3, 4, 0, 2, 4, 4, 1, 2, 3, 3, 3, 2, 2, 4, 2, 4, 3, 3, 0, 1, 0, 3, 3, 3, 4, 4, 1, 2, 4, 4, 4, 2, 0, 3, 1, 2, 0, 0, 0, 4, 3, 0, 2, 0, 0, 0, 4, 1, 0, 2, 2, 1, 1, 3, 3, 1, 2, 0, 0, 3, 1, 4, 2, 0, 0, 0, 2, 0, 1, 4, 0, 2, 0, 2, 4, 3, 4, 4, 0, 2, 2, 2, 4, 0, 4, 1, 3, 4, 4, 0, 4, 4, 4, 3, 4, 4, 2, 0, 3, 2, 4, 4, 3, 1, 3, 3, 4, 1, 3, 4, 3, 0, 0, 2, 0, 0, 2, 1, 4, 2, 1, 0, 0, 0, 0, 1, 2, 4, 4, 0, 2, 0, 4, 2, 1, 3, 3, 1, 4, 2, 1, 3, 3, 3, 4, 2, 1, 0, 4, 4, 2, 2, 1, 1, 4, 3, 3, 3, 1, 1, 2, 2, 0, 2, 4, 0, 1, 4, 4, 2, 4, 2, 4, 2, 3, 3, 0, 1, 2, 0, 4, 2, 4, 0, 2, 2, 3, 1, 4, 4, 1, 3, 4, 4, 4, 1, 4, 3, 4, 0, 0, 3, 3, 4, 0, 0, 2, 2, 1, 4, 3, 1, 0, 1, 4, 4, 3, 4, 1, 3, 2, 0, 4, 1, 2, 1, 0, 2, 0, 2, 3, 1, 3, 2, 2, 4, 0, 1, 3, 3, 3, 4, 4, 0, 2, 4, 1, 0, 2, 4, 4, 1, 3, 2, 2, 0, 3, 3, 4, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 3, 2, 0, 4, 0, 0, 0, 1, 3, 3, 0, 1, 0, 0, 2, 1, 4, 2, 2, 3, 4, 0, 3, 4, 3, 3, 2, 4, 4, 3, 2, 1, 0, 3, 4, 1, 1, 3, 3, 1, 0, 4, 4, 2, 1, 1, 0, 1, 1, 3, 1, 1, 2, 3, 4, 0, 0, 1, 2, 0, 2, 4, 4, 3, 2, 3, 0, 4, 2, 2, 1, 3, 1, 2, 3, 1, 2, 1, 0, 3, 0, 4, 1, 4, 2, 4, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1]
pubkeycol552 = [1, 1, 3, 4, 1, 2, 4, 2, 1, 0, 1, 0, 2, 1, 3, 1, 1, 4, 0, 2, 2, 1, 3, 1, 4, 4, 4, 1, 4, 4, 2, 1, 4, 0, 2, 4, 0, 2, 3, 4, 0, 3, 2, 3, 0, 3, 3, 1, 0, 0, 3, 3, 0, 4, 3, 2, 1, 0, 2, 1, 2, 0, 2, 3, 1, 0, 3, 2, 3, 4, 2, 1, 3, 1, 4, 0, 3, 3, 4, 2, 1, 4, 4, 1, 1, 4, 3, 2, 2, 3, 2, 4, 4, 4, 0, 1, 4, 2, 0, 3, 0, 4, 0, 4, 4, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 4, 4, 3, 2, 1, 4, 1, 1, 1, 0, 4, 0, 0, 0, 2, 1, 2, 0, 3, 3, 1, 3, 2, 1, 2, 1, 1, 0, 3, 0, 2, 0, 0, 1, 1, 3, 3, 1, 0, 4, 0, 1, 0, 3, 4, 4, 3, 3, 4, 4, 3, 0, 3, 2, 2, 4, 1, 2, 4, 3, 2, 1, 3, 1, 3, 0, 2, 2, 2, 3, 3, 1, 3, 0, 3, 0, 4, 3, 1, 3, 2, 2, 2, 2, 4, 3, 0, 4, 2, 4, 3, 2, 3, 4, 1, 1, 4, 1, 2, 1, 1, 2, 3, 2, 4, 4, 3, 3, 1, 2, 1, 2, 4, 2, 3, 2, 0, 4, 1, 0, 4, 0, 1, 2, 0, 3, 3, 4, 4, 2, 4, 1, 1, 2, 3, 2, 4, 4, 3, 2, 1, 2, 4, 2, 4, 0, 2, 1, 3, 1, 0, 0, 2, 4, 0, 1, 1, 4, 0, 4, 4, 2, 0, 0, 1, 3, 4, 3, 1, 1, 3, 2, 1, 4, 4, 2, 4, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 3, 2, 4, 1, 0, 0, 0, 3, 0, 0, 3, 4, 1, 2, 3, 4, 3, 1, 0, 0, 1, 1, 4, 2, 1, 0, 4, 4, 3, 0, 1, 4, 1, 0, 4, 2, 1, 3, 4, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 4, 0, 0, 0, 0, 3, 3, 1, 4, 4, 2, 4, 3, 0, 1, 3, 1, 0, 3, 1, 3, 3, 0, 0, 4, 1, 2, 4, 1, 1, 3, 0, 3, 2, 0, 3, 4, 2, 0, 0, 4, 3, 3, 2, 1, 1, 2, 1]
pubkeycol553 = [4, 0, 2, 1, 3, 0, 4, 4, 4, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 3, 1, 4, 2, 1, 2, 0, 4, 4, 2, 2, 2, 2, 2, 3, 4, 1, 3, 2, 3, 3, 4, 4, 0, 4, 2, 4, 2, 4, 3, 3, 1, 2, 2, 4, 3, 4, 0, 3, 0, 0, 4, 3, 3, 1, 2, 0, 3, 1, 4, 0, 0, 3, 3, 0, 1, 2, 1, 4, 2, 0, 4, 4, 3, 3, 2, 3, 0, 4, 1, 4, 1, 3, 3, 4, 4, 0, 2, 1, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 3, 2, 2, 3, 1, 4, 4, 3, 4, 4, 1, 1, 0, 1, 0, 1, 2, 2, 0, 3, 0, 3, 4, 4, 4, 3, 1, 3, 2, 0, 4, 2, 0, 1, 4, 3, 4, 1, 0, 1, 4, 2, 2, 0, 2, 3, 4, 4, 2, 4, 2, 4, 0, 1, 2, 0, 0, 1, 3, 1, 2, 1, 2, 0, 0, 0, 1, 2, 3, 3, 0, 4, 0, 4, 3, 4, 1, 4, 3, 2, 1, 0, 1, 0, 2, 0, 3, 4, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 4, 3, 3, 1, 3, 4, 2, 1, 3, 3, 2, 1, 4, 3, 0, 3, 0, 4, 2, 3, 0, 2, 1, 1, 3, 1, 4, 0, 1, 0, 3, 1, 0, 1, 1, 3, 3, 4, 1, 0, 3, 4, 2, 1, 0, 3, 2, 3, 1, 4, 2, 3, 0, 1, 4, 3, 0, 3, 3, 0, 1, 2, 0, 4, 1, 4, 1, 0, 2, 1, 1, 4, 0, 2, 3, 0, 0, 3, 2, 1, 2, 0, 4, 4, 4, 2, 1, 4, 2, 1, 4, 1, 4, 3, 4, 2, 2, 0, 2, 4, 1, 3, 2, 0, 4, 4, 2, 4, 0, 0, 2, 3, 0, 1, 2, 3, 0, 1, 1, 0, 1, 4, 3, 1, 3, 0, 1, 1, 1, 2, 4, 2, 2, 1, 4, 3, 4, 4, 3, 2, 0, 2, 1, 0, 3, 3, 2, 1, 4, 3, 0, 2, 3, 3, 3, 3, 1, 1, 0, 4, 1, 4, 0, 1, 3, 3, 0, 0, 1, 4, 3, 4, 2, 1, 3, 3, 2, 2, 2, 4, 1, 2, 1, 2, 4, 1, 1, 2, 1, 2, 1]
pubkeycol554 = [4, 3, 2, 2, 3, 1, 0, 4, 2, 4, 2, 1, 1, 0, 3, 1, 3, 0, 0, 0, 1, 1, 3, 0, 0, 4, 3, 2, 3, 2, 1, 0, 4, 0, 1, 3, 3, 1, 3, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 4, 1, 3, 1, 4, 4, 4, 3, 1, 1, 4, 3, 4, 4, 2, 0, 1, 2, 1, 1, 3, 0, 2, 3, 4, 3, 1, 1, 2, 4, 1, 2, 4, 2, 4, 0, 3, 3, 1, 3, 4, 1, 0, 3, 4, 0, 4, 4, 0, 2, 2, 1, 3, 2, 4, 4, 0, 1, 1, 4, 3, 3, 4, 1, 3, 2, 1, 3, 3, 4, 3, 0, 0, 1, 3, 3, 0, 1, 3, 3, 1, 0, 4, 2, 2, 3, 2, 0, 0, 3, 1, 0, 2, 0, 3, 3, 2, 0, 3, 0, 3, 3, 4, 1, 0, 4, 1, 0, 4, 0, 2, 4, 3, 0, 4, 1, 3, 3, 0, 2, 4, 2, 4, 0, 4, 0, 3, 3, 2, 4, 3, 2, 3, 2, 0, 0, 3, 4, 4, 4, 1, 3, 4, 4, 0, 4, 1, 4, 1, 1, 4, 0, 1, 2, 1, 1, 3, 1, 0, 1, 2, 4, 0, 0, 1, 0, 4, 4, 1, 0, 2, 3, 1, 4, 3, 2, 0, 2, 1, 4, 3, 2, 4, 2, 1, 3, 0, 0, 4, 3, 2, 1, 0, 1, 3, 3, 2, 2, 2, 4, 2, 0, 4, 4, 4, 2, 2, 4, 1, 3, 0, 3, 1, 1, 3, 1, 0, 1, 0, 0, 1, 0, 3, 3, 1, 3, 1, 2, 3, 0, 4, 4, 4, 2, 4, 4, 3, 4, 4, 3, 4, 2, 4, 0, 3, 3, 4, 0, 4, 1, 0, 2, 4, 3, 1, 4, 3, 3, 1, 0, 4, 0, 0, 0, 4, 1, 1, 1, 0, 1, 0, 2, 3, 2, 2, 2, 1, 0, 1, 2, 4, 4, 2, 1, 1, 0, 4, 3, 2, 4, 1, 1, 0, 2, 0, 1, 4, 4, 0, 0, 3, 3, 1, 2, 3, 3, 3, 2, 2, 0, 1, 4, 3, 0, 0, 2, 0, 3, 1, 0, 3, 3, 4, 2, 3, 4, 1, 1, 3, 2, 3, 2, 0, 3, 4, 1, 2, 0, 4, 0, 1, 4, 1, 2, 0, 2, 1, 0, 4, 0]
pubkeycol555 = [4, 1, 3, 3, 4, 4, 0, 2, 2, 3, 0, 2, 0, 1, 2, 0, 2, 0, 4, 3, 0, 2, 2, 4, 0, 0, 4, 2, 4, 3, 3, 0, 4, 0, 3, 3, 4, 2, 0, 3, 1, 1, 1, 3, 1, 3, 1, 3, 3, 4, 1, 1, 2, 4, 1, 4, 1, 0, 1, 4, 2, 2, 4, 4, 0, 0, 2, 3, 0, 4, 2, 1, 0, 3, 0, 1, 3, 3, 4, 0, 1, 2, 2, 0, 0, 3, 3, 4, 2, 4, 4, 1, 0, 0, 4, 1, 0, 4, 3, 3, 2, 0, 3, 1, 1, 1, 3, 0, 2, 3, 2, 0, 4, 0, 4, 0, 4, 4, 0, 3, 4, 2, 3, 1, 4, 3, 1, 3, 4, 3, 3, 0, 3, 4, 0, 0, 2, 1, 3, 0, 0, 4, 4, 1, 4, 1, 4, 3, 0, 1, 4, 1, 0, 4, 0, 1, 4, 3, 0, 1, 4, 2, 3, 2, 3, 3, 1, 0, 0, 3, 3, 0, 1, 4, 3, 2, 4, 2, 3, 3, 0, 1, 1, 4, 2, 1, 3, 2, 3, 3, 1, 4, 3, 0, 4, 0, 4, 2, 1, 3, 4, 1, 3, 2, 3, 2, 3, 4, 2, 0, 1, 2, 1, 4, 3, 3, 1, 2, 2, 1, 2, 1, 0, 2, 3, 1, 2, 2, 0, 2, 0, 1, 3, 4, 4, 0, 3, 0, 2, 1, 0, 4, 0, 4, 4, 1, 0, 1, 2, 0, 4, 3, 3, 0, 3, 0, 2, 1, 1, 1, 0, 1, 3, 3, 4, 0, 2, 2, 3, 2, 0, 4, 1, 2, 1, 0, 3, 0, 0, 1, 4, 1, 2, 1, 2, 2, 2, 4, 2, 3, 1, 4, 4, 2, 3, 4, 4, 4, 3, 1, 1, 3, 1, 0, 0, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 4, 4, 3, 2, 4, 1, 4, 4, 3, 3, 0, 3, 3, 4, 4, 3, 3, 1, 3, 1, 4, 0, 3, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 4, 0, 1, 0, 1, 1, 3, 4, 1, 1, 3, 2, 3, 4, 2, 1, 2, 3, 2, 2, 3, 4, 3, 2, 0, 3, 0, 1, 2, 1, 4, 0, 3, 0, 0, 1, 1, 4, 2, 2, 2, 4, 4, 4, 4, 3, 4]
pubkeycol556 = [1, 0, 0, 3, 4, 3, 0, 0, 0, 4, 4, 1, 4, 2, 2, 3, 4, 2, 0, 3, 2, 1, 3, 3, 2, 3, 4, 3, 1, 0, 4, 3, 1, 0, 4, 4, 4, 3, 3, 0, 2, 3, 4, 2, 4, 1, 1, 1, 2, 1, 3, 2, 1, 4, 2, 1, 0, 1, 0, 1, 4, 1, 0, 3, 0, 3, 1, 4, 2, 1, 4, 3, 2, 0, 2, 1, 2, 0, 0, 0, 3, 4, 1, 0, 2, 4, 1, 1, 3, 1, 2, 4, 2, 4, 3, 3, 3, 1, 3, 1, 2, 3, 1, 0, 0, 3, 0, 2, 4, 1, 3, 4, 2, 4, 4, 2, 4, 3, 1, 4, 2, 1, 1, 0, 4, 3, 1, 4, 3, 0, 4, 0, 4, 1, 1, 4, 3, 1, 1, 2, 1, 0, 1, 0, 3, 2, 2, 0, 3, 0, 1, 0, 0, 0, 0, 4, 1, 2, 3, 3, 4, 2, 1, 2, 0, 0, 1, 4, 0, 0, 1, 0, 1, 1, 0, 4, 3, 4, 1, 1, 3, 1, 0, 4, 2, 0, 4, 0, 1, 3, 2, 0, 1, 3, 4, 2, 3, 0, 0, 0, 3, 1, 4, 2, 2, 2, 3, 2, 2, 3, 0, 1, 1, 1, 0, 0, 4, 1, 2, 3, 3, 2, 3, 2, 0, 0, 2, 4, 2, 0, 1, 4, 0, 3, 0, 2, 3, 0, 2, 3, 1, 2, 2, 3, 0, 0, 4, 1, 3, 4, 2, 2, 3, 4, 3, 3, 4, 3, 1, 3, 2, 2, 2, 4, 3, 3, 0, 0, 2, 3, 3, 3, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 3, 1, 2, 4, 0, 4, 0, 2, 2, 4, 3, 3, 0, 2, 3, 4, 0, 4, 1, 3, 1, 2, 4, 4, 1, 1, 4, 3, 4, 1, 3, 2, 1, 2, 3, 2, 4, 1, 1, 3, 4, 4, 3, 1, 2, 4, 4, 2, 2, 1, 0, 2, 2, 4, 1, 3, 2, 2, 0, 2, 3, 0, 0, 1, 2, 0, 4, 1, 3, 2, 4, 0, 1, 3, 4, 3, 3, 3, 4, 0, 4, 3, 1, 4, 3, 1, 3, 0, 0, 4, 2, 0, 2, 0, 1, 3, 2, 4, 3, 4, 3, 2, 0, 3, 1, 0, 3, 4, 4, 3, 3, 4, 2, 0, 2, 3, 3]
pubkeycol557 = [2, 1, 3, 4, 1, 4, 1, 2, 4, 3, 3, 3, 3, 0, 1, 4, 4, 3, 3, 2, 2, 1, 1, 3, 1, 1, 3, 4, 0, 4, 4, 4, 3, 2, 1, 4, 4, 3, 3, 2, 3, 3, 1, 0, 2, 4, 4, 2, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 1, 4, 0, 1, 2, 4, 0, 2, 2, 3, 0, 2, 1, 0, 0, 0, 3, 0, 3, 2, 2, 1, 0, 0, 3, 0, 4, 1, 4, 1, 0, 1, 1, 2, 3, 1, 4, 4, 4, 3, 4, 3, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 3, 1, 0, 1, 3, 0, 0, 0, 1, 0, 0, 1, 3, 1, 2, 1, 1, 0, 4, 2, 0, 2, 3, 1, 3, 4, 1, 0, 1, 3, 2, 0, 4, 2, 0, 0, 1, 2, 1, 1, 2, 3, 0, 1, 1, 3, 3, 4, 4, 2, 1, 3, 0, 2, 2, 1, 2, 4, 3, 3, 3, 1, 2, 1, 4, 4, 2, 1, 2, 2, 3, 1, 4, 3, 4, 4, 2, 2, 3, 3, 0, 0, 1, 1, 3, 2, 1, 1, 0, 1, 0, 2, 2, 3, 0, 3, 2, 4, 0, 2, 3, 1, 2, 4, 2, 3, 1, 2, 2, 4, 3, 2, 4, 2, 4, 3, 1, 1, 1, 3, 4, 4, 4, 3, 3, 2, 3, 0, 3, 2, 3, 3, 0, 4, 1, 0, 0, 4, 4, 4, 0, 3, 4, 0, 3, 1, 3, 4, 2, 1, 1, 0, 0, 3, 3, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 4, 3, 3, 3, 3, 0, 4, 2, 1, 4, 2, 0, 3, 2, 1, 3, 0, 3, 4, 3, 4, 0, 2, 1, 3, 4, 4, 4, 2, 3, 2, 0, 0, 3, 3, 3, 4, 1, 1, 2, 2, 1, 4, 2, 1, 2, 1, 4, 4, 2, 2, 4, 3, 1, 0, 3, 0, 3, 2, 1, 1, 4, 3, 0, 2, 0, 2, 4, 1, 3, 3, 3, 2, 0, 4, 3, 0, 3, 2, 1, 1, 1, 0, 3, 1, 1, 0, 0, 1, 1, 2, 0, 1, 3, 0, 4, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 3, 4, 3, 3, 2, 1, 4, 4, 0, 0, 3, 3, 0, 1, 1]
pubkeycol558 = [3, 4, 2, 4, 2, 4, 2, 4, 1, 2, 3, 2, 1, 4, 3, 2, 4, 3, 3, 2, 2, 3, 1, 1, 2, 1, 0, 3, 2, 4, 2, 1, 2, 1, 0, 4, 4, 0, 0, 4, 0, 3, 0, 0, 1, 0, 3, 1, 1, 1, 1, 1, 2, 3, 1, 0, 0, 2, 4, 1, 3, 4, 0, 4, 2, 1, 3, 1, 2, 1, 3, 2, 4, 1, 4, 2, 1, 2, 4, 1, 1, 0, 4, 3, 2, 3, 1, 2, 4, 3, 3, 3, 1, 0, 2, 4, 4, 3, 3, 4, 3, 4, 2, 2, 2, 3, 3, 3, 2, 4, 0, 0, 0, 1, 2, 2, 4, 0, 3, 0, 1, 0, 1, 3, 3, 2, 3, 3, 0, 2, 2, 3, 4, 0, 0, 2, 0, 3, 1, 4, 3, 1, 1, 3, 2, 3, 0, 3, 4, 1, 3, 1, 3, 4, 0, 0, 0, 1, 0, 2, 1, 2, 4, 0, 2, 2, 0, 0, 1, 3, 0, 0, 2, 4, 1, 4, 1, 1, 2, 3, 2, 3, 2, 2, 3, 4, 1, 1, 2, 3, 0, 0, 0, 1, 0, 1, 1, 1, 4, 0, 0, 0, 3, 4, 1, 1, 4, 1, 1, 1, 3, 1, 4, 4, 0, 4, 4, 1, 3, 3, 0, 4, 0, 4, 2, 3, 3, 2, 2, 1, 4, 1, 4, 2, 1, 4, 0, 4, 3, 4, 0, 2, 3, 2, 0, 1, 4, 2, 3, 3, 4, 0, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 0, 2, 2, 4, 3, 0, 0, 2, 1, 0, 0, 3, 3, 1, 3, 2, 3, 4, 0, 3, 1, 1, 0, 0, 2, 2, 1, 0, 4, 0, 0, 1, 1, 0, 3, 1, 1, 1, 3, 0, 0, 0, 0, 4, 1, 0, 0, 3, 1, 0, 3, 1, 3, 4, 3, 3, 1, 2, 3, 3, 1, 4, 2, 1, 1, 4, 1, 2, 4, 0, 4, 0, 0, 3, 1, 2, 0, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 3, 0, 4, 4, 1, 1, 1, 3, 3, 2, 4, 4, 4, 2, 1, 1, 0, 0, 0, 1, 4, 1, 2, 2, 0, 3, 0, 0, 4, 4, 1, 4, 4, 0, 4, 1, 1, 1, 3, 2, 3, 2, 4, 0, 0, 3, 0, 4, 2, 2, 4]
pubkeycol559 = [1, 2, 1, 2, 1, 4, 1, 0, 1, 0, 1, 2, 3, 1, 1, 3, 3, 2, 2, 2, 2, 1, 4, 2, 3, 0, 4, 0, 2, 3, 0, 2, 2, 1, 4, 0, 1, 3, 4, 4, 2, 3, 3, 4, 3, 4, 3, 0, 4, 2, 2, 0, 3, 1, 0, 1, 1, 4, 2, 3, 4, 3, 1, 1, 3, 3, 3, 1, 1, 2, 4, 0, 3, 2, 3, 1, 4, 0, 0, 0, 4, 1, 3, 2, 3, 1, 4, 1, 3, 2, 1, 0, 4, 2, 0, 2, 0, 3, 2, 4, 1, 4, 3, 2, 2, 1, 1, 2, 3, 0, 1, 1, 0, 3, 3, 3, 2, 0, 3, 0, 4, 0, 0, 2, 0, 2, 4, 3, 2, 3, 3, 1, 1, 4, 1, 1, 3, 1, 2, 1, 3, 1, 0, 2, 3, 2, 2, 2, 3, 4, 1, 3, 2, 0, 0, 2, 0, 3, 2, 1, 1, 2, 3, 3, 1, 4, 1, 3, 1, 2, 0, 1, 0, 3, 0, 4, 1, 2, 0, 0, 0, 3, 0, 1, 3, 4, 4, 4, 2, 1, 2, 4, 0, 3, 3, 1, 3, 0, 0, 2, 4, 3, 2, 1, 4, 2, 1, 0, 4, 3, 0, 1, 4, 3, 2, 2, 2, 3, 4, 1, 2, 2, 0, 4, 4, 2, 1, 1, 0, 4, 0, 4, 4, 1, 2, 1, 0, 0, 3, 0, 4, 0, 2, 1, 2, 2, 3, 3, 0, 0, 3, 1, 1, 4, 3, 1, 2, 0, 3, 3, 1, 4, 3, 3, 3, 1, 3, 0, 3, 4, 0, 3, 0, 1, 3, 0, 2, 4, 1, 3, 4, 3, 2, 0, 0, 1, 0, 4, 1, 4, 3, 0, 4, 4, 0, 0, 1, 3, 0, 1, 3, 0, 0, 0, 4, 0, 1, 1, 2, 0, 1, 4, 3, 3, 0, 0, 0, 2, 1, 4, 2, 0, 3, 0, 3, 0, 2, 1, 4, 4, 0, 0, 1, 0, 4, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 0, 1, 1, 2, 3, 0, 2, 2, 3, 3, 4, 2, 1, 1, 1, 2, 1, 4, 4, 0, 1, 0, 1, 1, 2, 0, 3, 4, 2, 3, 0, 0, 0, 1, 3, 1, 4, 4, 2, 3, 2, 3, 3, 1, 1, 2, 1, 2, 0, 1, 1, 3, 0]
pubkeycol560 = [1, 3, 2, 2, 4, 0, 1, 1, 0, 0, 3, 1, 3, 4, 1, 4, 3, 4, 2, 4, 1, 3, 2, 0, 2, 0, 0, 2, 0, 2, 3, 2, 1, 0, 1, 0, 1, 4, 4, 3, 4, 4, 1, 0, 2, 0, 4, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4, 3, 3, 1, 0, 3, 3, 4, 4, 1, 1, 3, 0, 4, 1, 3, 0, 4, 0, 2, 2, 3, 3, 1, 4, 1, 1, 0, 0, 0, 1, 1, 0, 4, 1, 4, 0, 4, 1, 0, 2, 4, 1, 3, 0, 0, 2, 0, 2, 3, 2, 4, 4, 2, 0, 3, 3, 3, 3, 1, 4, 3, 1, 2, 3, 3, 1, 0, 0, 3, 1, 3, 1, 4, 1, 4, 4, 0, 3, 4, 2, 2, 0, 0, 1, 2, 4, 4, 2, 0, 1, 0, 1, 2, 4, 3, 3, 4, 1, 0, 1, 4, 0, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 2, 4, 1, 4, 2, 1, 2, 1, 4, 0, 0, 3, 1, 3, 1, 3, 2, 2, 2, 1, 2, 0, 4, 0, 3, 0, 1, 3, 3, 1, 4, 4, 2, 3, 0, 1, 3, 3, 2, 3, 4, 0, 4, 3, 0, 0, 3, 0, 0, 2, 0, 0, 4, 3, 2, 0, 4, 4, 1, 2, 3, 1, 4, 0, 1, 0, 0, 1, 4, 2, 1, 2, 4, 0, 3, 3, 0, 1, 3, 1, 1, 4, 4, 2, 0, 2, 4, 4, 3, 2, 0, 2, 0, 3, 1, 2, 4, 3, 0, 2, 4, 1, 3, 3, 2, 1, 0, 1, 4, 0, 2, 2, 1, 2, 4, 1, 0, 2, 1, 3, 3, 2, 0, 1, 4, 0, 1, 3, 0, 1, 0, 1, 3, 2, 4, 4, 3, 4, 2, 3, 1, 1, 0, 4, 3, 1, 4, 0, 3, 4, 4, 2, 3, 2, 1, 2, 4, 0, 3, 3, 3, 0, 1, 2, 1, 3, 3, 2, 0, 0, 3, 0, 1, 3, 1, 2, 4, 3, 0, 1, 1, 0, 4, 3, 4, 1, 4, 0, 2, 0, 3, 0, 1, 2, 1, 1, 1, 1, 4, 3, 3, 4, 3, 2, 4, 0, 2, 0, 2, 3, 1, 4, 4, 0, 1, 2, 2, 2, 3, 1, 3, 1, 0, 1, 1, 1, 3, 1, 4]
pubkeycol561 = [4, 0, 0, 1, 2, 4, 3, 3, 1, 2, 4, 1, 4, 3, 3, 4, 3, 0, 4, 0, 4, 3, 2, 3, 2, 0, 2, 2, 3, 2, 4, 2, 2, 2, 1, 4, 3, 2, 0, 0, 0, 3, 2, 2, 2, 1, 2, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 4, 3, 3, 3, 3, 3, 2, 2, 1, 0, 3, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 3, 1, 4, 1, 1, 4, 1, 2, 3, 4, 0, 4, 2, 0, 1, 4, 3, 0, 2, 2, 1, 0, 2, 3, 0, 1, 0, 4, 0, 0, 4, 0, 2, 2, 1, 3, 1, 4, 4, 0, 2, 3, 2, 2, 0, 4, 1, 0, 4, 2, 4, 2, 3, 4, 4, 4, 1, 0, 0, 3, 2, 2, 0, 4, 1, 0, 1, 2, 3, 0, 3, 3, 2, 4, 1, 3, 1, 2, 3, 2, 4, 4, 0, 4, 2, 3, 1, 4, 2, 1, 3, 0, 1, 0, 1, 3, 3, 3, 0, 2, 2, 1, 0, 0, 1, 3, 1, 3, 2, 0, 3, 0, 4, 3, 1, 1, 2, 3, 1, 3, 2, 4, 3, 1, 4, 3, 0, 3, 2, 1, 1, 1, 2, 4, 0, 3, 1, 3, 0, 2, 2, 0, 3, 4, 1, 0, 2, 2, 3, 4, 1, 2, 1, 0, 2, 0, 0, 3, 3, 4, 3, 3, 1, 0, 4, 4, 0, 3, 3, 1, 1, 4, 0, 1, 4, 1, 2, 1, 1, 1, 2, 3, 2, 4, 2, 4, 4, 2, 0, 1, 4, 1, 0, 4, 0, 0, 2, 1, 2, 2, 3, 0, 0, 2, 0, 4, 0, 4, 3, 3, 4, 2, 1, 3, 2, 2, 3, 4, 2, 0, 1, 3, 4, 4, 2, 1, 2, 4, 1, 0, 1, 1, 1, 3, 2, 1, 2, 2, 3, 2, 0, 1, 4, 0, 3, 1, 0, 0, 4, 3, 0, 0, 3, 0, 4, 3, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 3, 2, 4, 4, 1, 0, 0, 0, 4, 2, 0, 4, 2, 1, 1, 0, 3, 3, 1, 1, 3, 2, 3, 4, 4, 2, 1, 1, 4, 1, 1, 2, 3, 3, 4, 4, 0, 4, 4, 4, 3, 0, 4, 4, 1, 2, 2, 4, 1, 2]
pubkeycol562 = [1, 1, 3, 2, 4, 4, 4, 2, 3, 4, 4, 1, 2, 0, 2, 4, 0, 4, 3, 2, 2, 2, 1, 2, 1, 3, 1, 0, 0, 1, 3, 3, 4, 4, 4, 4, 4, 1, 2, 3, 2, 4, 2, 4, 2, 1, 2, 4, 2, 2, 4, 0, 1, 1, 2, 1, 0, 2, 0, 3, 2, 3, 4, 3, 3, 4, 3, 4, 2, 0, 2, 3, 3, 4, 3, 0, 3, 4, 3, 3, 2, 1, 2, 0, 3, 4, 0, 3, 1, 4, 0, 3, 4, 3, 3, 3, 1, 2, 0, 1, 1, 2, 0, 4, 2, 0, 1, 3, 3, 1, 1, 1, 3, 4, 2, 3, 2, 1, 1, 4, 0, 4, 3, 0, 1, 0, 0, 3, 4, 1, 3, 3, 3, 0, 3, 3, 0, 3, 0, 1, 1, 0, 3, 0, 0, 2, 0, 0, 4, 0, 2, 2, 2, 4, 2, 4, 0, 4, 4, 4, 4, 0, 1, 4, 2, 4, 0, 4, 0, 1, 0, 4, 4, 0, 0, 1, 2, 0, 4, 3, 4, 1, 4, 0, 2, 1, 4, 1, 4, 4, 0, 1, 0, 2, 3, 1, 1, 4, 4, 4, 3, 1, 3, 3, 1, 2, 3, 0, 4, 3, 2, 3, 4, 4, 4, 4, 0, 1, 3, 2, 4, 1, 1, 4, 1, 1, 3, 1, 3, 0, 2, 1, 1, 3, 4, 1, 4, 0, 1, 0, 0, 3, 0, 4, 4, 2, 0, 1, 0, 4, 4, 1, 1, 2, 4, 3, 0, 3, 4, 1, 2, 3, 0, 1, 1, 3, 1, 1, 0, 4, 4, 3, 2, 3, 3, 1, 1, 1, 4, 0, 4, 4, 0, 2, 2, 0, 3, 1, 4, 4, 0, 1, 3, 2, 2, 2, 3, 1, 4, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 3, 4, 0, 2, 3, 3, 3, 2, 3, 3, 0, 4, 1, 4, 4, 0, 0, 4, 4, 2, 4, 2, 3, 4, 0, 1, 4, 4, 4, 0, 1, 2, 3, 0, 0, 0, 3, 4, 4, 1, 0, 0, 4, 3, 1, 2, 3, 2, 2, 4, 2, 3, 4, 4, 1, 1, 2, 1, 4, 2, 0, 2, 3, 0, 1, 4, 3, 4, 2, 1, 0, 0, 4, 0, 2, 3, 4, 4, 1, 4, 3, 3, 0, 3, 0, 1, 0, 4, 4, 2, 1]
pubkeycol563 = [0, 1, 3, 2, 1, 0, 3, 2, 1, 3, 2, 4, 0, 4, 1, 1, 4, 3, 0, 4, 1, 2, 2, 4, 0, 2, 1, 1, 1, 3, 1, 4, 4, 2, 3, 4, 0, 3, 2, 3, 1, 1, 0, 3, 0, 4, 3, 2, 0, 4, 3, 0, 1, 2, 2, 1, 2, 2, 4, 1, 3, 4, 1, 1, 1, 0, 0, 3, 1, 4, 0, 0, 2, 0, 4, 1, 2, 2, 2, 1, 4, 2, 1, 3, 1, 1, 2, 0, 1, 2, 0, 3, 4, 4, 3, 3, 1, 1, 4, 1, 2, 1, 4, 4, 3, 3, 4, 2, 0, 4, 1, 0, 0, 1, 4, 2, 0, 3, 0, 3, 4, 2, 2, 0, 1, 3, 4, 1, 2, 3, 0, 4, 4, 4, 3, 2, 4, 4, 2, 0, 0, 4, 3, 0, 0, 3, 3, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 4, 1, 0, 2, 1, 0, 3, 4, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 4, 3, 0, 2, 0, 4, 0, 4, 4, 2, 2, 3, 3, 2, 1, 0, 4, 1, 3, 4, 0, 3, 1, 3, 3, 4, 3, 2, 1, 2, 3, 1, 4, 4, 4, 0, 3, 0, 3, 1, 1, 3, 1, 2, 4, 0, 4, 0, 3, 2, 3, 1, 3, 0, 4, 4, 3, 2, 0, 3, 4, 0, 4, 0, 4, 1, 3, 0, 1, 1, 3, 1, 0, 1, 3, 4, 1, 2, 3, 3, 0, 1, 0, 1, 1, 3, 0, 2, 0, 2, 3, 4, 2, 3, 0, 4, 2, 0, 3, 4, 1, 3, 4, 0, 2, 1, 3, 2, 4, 3, 0, 0, 3, 1, 1, 3, 4, 4, 1, 1, 4, 0, 3, 2, 2, 4, 0, 1, 2, 3, 2, 1, 4, 4, 0, 4, 2, 4, 3, 4, 0, 4, 2, 1, 1, 4, 1, 3, 1, 0, 3, 0, 4, 3, 2, 0, 2, 4, 1, 4, 4, 2, 0, 0, 1, 2, 0, 2, 4, 0, 1, 2, 4, 1, 2, 2, 4, 1, 4, 3, 0, 3, 0, 1, 4, 4, 4, 4, 1, 1, 3, 1, 1, 4, 1, 1, 0, 1, 4, 4, 0, 3, 0, 4, 2, 2, 0, 3, 0, 2, 3, 0, 4, 4, 1, 4, 0, 4, 0, 1, 3, 0, 4, 2, 2]
pubkeycol564 = [3, 1, 3, 2, 3, 1, 1, 4, 0, 3, 2, 4, 1, 4, 3, 0, 0, 0, 0, 3, 4, 3, 3, 2, 4, 2, 4, 3, 4, 4, 3, 4, 2, 2, 4, 2, 0, 0, 1, 0, 3, 0, 0, 0, 2, 1, 0, 2, 0, 4, 4, 1, 4, 2, 3, 3, 2, 2, 1, 0, 3, 4, 1, 0, 3, 4, 1, 0, 3, 2, 0, 1, 0, 3, 1, 0, 3, 4, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 3, 4, 0, 4, 1, 1, 4, 1, 1, 4, 4, 4, 4, 2, 3, 2, 1, 0, 2, 0, 4, 2, 3, 4, 2, 0, 4, 2, 1, 3, 4, 2, 2, 0, 4, 3, 2, 4, 0, 2, 4, 2, 0, 4, 3, 3, 2, 2, 4, 2, 2, 4, 0, 4, 4, 4, 1, 0, 2, 4, 4, 4, 0, 3, 2, 4, 4, 3, 2, 3, 0, 1, 1, 3, 1, 2, 1, 1, 1, 4, 0, 2, 0, 2, 0, 4, 4, 2, 3, 4, 2, 0, 1, 0, 2, 4, 2, 3, 2, 2, 1, 1, 2, 4, 2, 0, 4, 3, 2, 2, 3, 2, 1, 3, 3, 4, 2, 0, 2, 3, 1, 0, 1, 0, 1, 4, 3, 1, 1, 4, 4, 3, 0, 2, 1, 0, 1, 3, 3, 4, 4, 4, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 4, 0, 1, 0, 1, 0, 4, 4, 3, 2, 1, 1, 3, 2, 0, 4, 2, 3, 1, 2, 3, 4, 3, 4, 3, 2, 1, 1, 4, 4, 2, 3, 2, 1, 4, 3, 3, 3, 1, 2, 1, 0, 3, 3, 2, 0, 2, 3, 0, 2, 3, 3, 2, 3, 3, 4, 0, 1, 2, 3, 1, 0, 1, 0, 4, 2, 0, 2, 3, 0, 2, 1, 2, 4, 2, 4, 0, 4, 1, 3, 3, 4, 2, 4, 2, 4, 1, 1, 2, 0, 0, 3, 1, 4, 0, 4, 3, 2, 0, 0, 0, 3, 3, 2, 3, 1, 2, 2, 1, 4, 0, 3, 0, 3, 2, 3, 0, 0, 4, 4, 3, 2, 2, 0, 0, 0, 1, 3, 0, 4, 0, 4, 4, 0, 3, 3, 3, 2, 1, 4, 1, 2, 1, 1, 1, 4, 2, 4, 2, 1, 0, 0]
pubkeycol565 = [1, 3, 1, 0, 0, 2, 1, 0, 0, 4, 2, 2, 0, 2, 3, 2, 2, 0, 4, 3, 1, 1, 4, 2, 0, 2, 4, 3, 3, 2, 0, 3, 2, 3, 1, 1, 0, 3, 0, 0, 2, 1, 1, 4, 4, 1, 1, 0, 4, 0, 4, 0, 1, 1, 0, 4, 2, 1, 2, 4, 4, 1, 1, 2, 1, 1, 4, 1, 3, 2, 0, 4, 4, 3, 1, 0, 3, 4, 1, 3, 4, 3, 4, 4, 4, 0, 1, 1, 3, 0, 2, 2, 2, 0, 1, 2, 3, 2, 4, 4, 2, 3, 4, 2, 2, 3, 2, 0, 3, 2, 1, 4, 1, 1, 3, 3, 4, 1, 3, 1, 1, 2, 4, 1, 2, 4, 3, 0, 3, 0, 2, 0, 0, 1, 0, 0, 3, 4, 0, 4, 4, 2, 0, 0, 0, 0, 2, 0, 0, 3, 4, 1, 3, 4, 0, 0, 2, 1, 0, 4, 1, 3, 4, 4, 0, 1, 3, 4, 2, 3, 1, 3, 3, 3, 4, 2, 2, 1, 0, 1, 1, 3, 2, 4, 2, 2, 2, 3, 2, 1, 2, 4, 1, 3, 2, 3, 0, 0, 0, 4, 4, 1, 3, 1, 2, 1, 1, 1, 2, 4, 0, 1, 3, 1, 4, 2, 4, 2, 1, 2, 0, 1, 4, 4, 2, 3, 4, 0, 0, 4, 3, 0, 0, 0, 4, 3, 3, 0, 3, 4, 0, 0, 3, 4, 2, 0, 3, 4, 0, 3, 3, 2, 3, 2, 1, 0, 0, 0, 0, 1, 3, 2, 4, 4, 1, 0, 1, 3, 0, 0, 2, 0, 4, 0, 3, 2, 0, 0, 1, 1, 1, 2, 1, 4, 0, 3, 2, 1, 3, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 3, 1, 2, 3, 3, 1, 1, 1, 4, 3, 1, 0, 3, 3, 1, 2, 1, 3, 1, 1, 3, 3, 4, 0, 4, 1, 0, 3, 1, 0, 2, 3, 4, 4, 3, 0, 4, 4, 4, 1, 0, 4, 3, 0, 2, 1, 2, 2, 0, 1, 1, 3, 4, 2, 3, 0, 4, 1, 3, 4, 1, 4, 1, 1, 3, 1, 1, 1, 0, 2, 2, 0, 1, 2, 3, 4, 0, 4, 0, 2, 4, 4, 4, 2, 1, 4, 3, 1, 4, 4, 3, 0, 4, 2, 4, 3, 4, 1, 4]
pubkeycol566 = [2, 1, 2, 4, 3, 2, 4, 3, 1, 3, 3, 1, 2, 4, 0, 2, 1, 2, 3, 4, 0, 1, 2, 0, 4, 4, 1, 2, 3, 4, 3, 0, 0, 2, 0, 3, 0, 3, 4, 3, 4, 4, 3, 1, 2, 2, 2, 0, 4, 0, 3, 3, 0, 4, 2, 4, 3, 2, 0, 0, 3, 2, 2, 0, 2, 4, 4, 0, 1, 1, 2, 3, 4, 2, 1, 1, 0, 0, 3, 1, 3, 4, 4, 0, 2, 0, 4, 0, 1, 2, 2, 2, 1, 2, 4, 1, 3, 0, 0, 1, 4, 3, 4, 3, 1, 1, 0, 3, 0, 2, 0, 4, 4, 0, 1, 4, 2, 0, 2, 3, 4, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 3, 0, 1, 0, 3, 0, 2, 1, 0, 0, 4, 1, 2, 4, 2, 2, 3, 3, 3, 3, 3, 0, 3, 1, 1, 2, 0, 2, 3, 4, 2, 4, 4, 1, 3, 2, 0, 1, 4, 1, 3, 2, 4, 4, 3, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 4, 4, 2, 1, 2, 0, 3, 4, 1, 0, 3, 4, 0, 3, 2, 0, 3, 2, 4, 3, 2, 0, 1, 1, 0, 2, 0, 4, 3, 1, 1, 1, 2, 2, 4, 3, 0, 0, 4, 1, 4, 3, 1, 3, 3, 1, 4, 0, 1, 4, 4, 0, 3, 3, 3, 0, 4, 0, 3, 2, 0, 4, 1, 4, 0, 2, 1, 1, 3, 4, 2, 1, 0, 3, 0, 4, 1, 3, 0, 1, 1, 3, 4, 3, 4, 3, 2, 4, 0, 2, 4, 1, 2, 3, 3, 1, 0, 4, 2, 4, 1, 4, 0, 3, 2, 2, 1, 4, 3, 4, 4, 4, 3, 2, 4, 1, 3, 4, 1, 4, 2, 0, 3, 4, 0, 0, 0, 3, 3, 4, 2, 4, 1, 1, 1, 3, 2, 0, 4, 0, 0, 3, 1, 4, 2, 1, 3, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 1, 0, 0, 0, 3, 4, 0, 4, 3, 2, 2, 0, 2, 3, 0, 0, 1, 3, 1, 3, 1, 0, 4, 0, 2, 2, 3, 0, 3, 4, 2, 0, 1, 4, 3, 2, 0, 2, 3, 0, 3, 3, 0, 0, 4, 3, 4, 3, 1, 1, 2, 2, 1, 1, 2, 1, 3]
pubkeycol567 = [4, 2, 1, 4, 0, 4, 2, 1, 1, 3, 3, 0, 2, 4, 1, 0, 1, 4, 2, 1, 1, 1, 0, 2, 2, 3, 3, 3, 0, 2, 1, 3, 3, 3, 0, 3, 4, 0, 3, 1, 3, 3, 1, 0, 4, 1, 1, 1, 0, 2, 2, 1, 3, 4, 3, 3, 0, 4, 4, 3, 1, 1, 0, 3, 0, 2, 0, 3, 3, 4, 4, 0, 0, 4, 1, 0, 4, 2, 3, 3, 4, 2, 3, 2, 4, 1, 2, 1, 1, 1, 1, 4, 0, 2, 1, 4, 3, 1, 0, 3, 4, 0, 3, 4, 3, 3, 3, 3, 4, 0, 1, 0, 3, 3, 3, 4, 3, 3, 0, 1, 0, 4, 1, 2, 2, 3, 1, 3, 3, 4, 3, 2, 0, 4, 3, 2, 0, 1, 1, 2, 3, 3, 1, 4, 2, 0, 0, 2, 4, 4, 4, 0, 3, 1, 1, 2, 4, 0, 4, 4, 0, 4, 4, 0, 2, 0, 4, 3, 0, 3, 3, 0, 4, 2, 0, 3, 2, 0, 3, 2, 3, 0, 0, 2, 1, 2, 3, 2, 2, 3, 3, 2, 1, 2, 4, 1, 2, 4, 3, 1, 2, 2, 2, 3, 4, 2, 3, 1, 2, 1, 1, 3, 4, 0, 1, 3, 1, 2, 1, 3, 1, 3, 1, 0, 1, 4, 0, 2, 3, 0, 1, 1, 2, 1, 2, 3, 2, 0, 1, 3, 2, 3, 2, 3, 1, 2, 0, 3, 1, 0, 2, 2, 3, 1, 2, 2, 0, 3, 3, 2, 0, 3, 2, 3, 1, 0, 0, 0, 1, 2, 1, 1, 0, 4, 1, 3, 0, 4, 1, 3, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 4, 1, 1, 3, 0, 4, 4, 4, 0, 0, 0, 1, 1, 2, 3, 3, 0, 3, 0, 0, 0, 3, 1, 0, 0, 3, 3, 1, 2, 0, 0, 0, 0, 4, 2, 4, 1, 2, 1, 1, 1, 0, 4, 3, 3, 0, 4, 2, 0, 3, 0, 3, 1, 2, 2, 1, 3, 2, 4, 2, 3, 3, 3, 0, 0, 2, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 2, 0, 0, 2, 0, 2, 4, 3, 0, 0, 2, 1, 2, 4, 0, 0, 3, 4, 1, 4, 3, 4, 2, 2, 3, 3, 4, 2, 0, 4, 2, 2, 0, 3]
pubkeycol568 = [0, 2, 3, 4, 4, 2, 2, 0, 3, 4, 0, 3, 1, 0, 0, 0, 4, 4, 2, 2, 4, 0, 4, 0, 3, 1, 2, 2, 0, 2, 1, 1, 1, 4, 1, 1, 3, 2, 2, 2, 0, 0, 3, 0, 4, 2, 2, 0, 2, 1, 0, 0, 3, 4, 1, 0, 4, 1, 1, 0, 2, 0, 1, 1, 3, 2, 4, 0, 2, 0, 4, 2, 0, 4, 4, 0, 2, 2, 0, 4, 4, 0, 4, 0, 4, 0, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 0, 3, 1, 1, 2, 4, 3, 4, 4, 3, 2, 1, 4, 3, 1, 4, 1, 4, 2, 3, 4, 2, 0, 3, 1, 3, 0, 0, 4, 0, 4, 4, 1, 0, 4, 0, 4, 4, 4, 3, 4, 1, 0, 0, 4, 4, 2, 1, 3, 4, 0, 0, 3, 2, 2, 2, 0, 0, 1, 4, 2, 2, 1, 4, 3, 2, 3, 2, 4, 0, 4, 0, 2, 1, 2, 0, 1, 1, 3, 4, 4, 1, 4, 2, 3, 2, 4, 3, 4, 4, 4, 2, 4, 3, 1, 4, 1, 2, 1, 2, 3, 4, 2, 4, 1, 2, 4, 0, 1, 0, 4, 2, 0, 2, 2, 2, 0, 3, 2, 4, 1, 4, 4, 1, 1, 4, 2, 1, 1, 3, 4, 4, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 4, 3, 2, 2, 1, 4, 3, 1, 0, 2, 4, 0, 3, 3, 0, 1, 1, 3, 3, 0, 1, 0, 1, 4, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 4, 3, 2, 4, 0, 4, 2, 1, 0, 4, 4, 0, 4, 2, 4, 0, 2, 4, 0, 3, 1, 0, 3, 0, 3, 3, 4, 1, 2, 1, 3, 3, 4, 2, 4, 4, 0, 2, 0, 2, 3, 0, 1, 4, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 4, 1, 2, 0, 1, 2, 0, 0, 4, 2, 2, 4, 1, 4, 4, 3, 0, 0, 2, 0, 4, 1, 1, 3, 0, 4, 2, 2, 0, 0, 4, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 3, 3, 2, 0, 4, 0, 3, 4, 0, 2, 4, 4, 1, 2, 0, 3, 0, 2, 1, 3, 3, 0]
pubkeycol569 = [3, 0, 4, 1, 3, 2, 4, 1, 3, 2, 4, 4, 1, 1, 4, 0, 1, 3, 1, 3, 4, 0, 2, 1, 1, 0, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 2, 2, 4, 1, 0, 0, 0, 4, 4, 4, 4, 0, 4, 2, 2, 3, 2, 4, 1, 4, 2, 3, 1, 2, 0, 2, 1, 0, 1, 0, 4, 1, 2, 1, 2, 3, 3, 3, 0, 1, 1, 4, 0, 1, 3, 0, 4, 1, 3, 3, 0, 2, 3, 1, 0, 3, 3, 2, 0, 1, 0, 4, 4, 2, 0, 0, 3, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 4, 3, 3, 1, 4, 2, 0, 4, 4, 1, 3, 0, 2, 3, 0, 2, 4, 0, 1, 3, 4, 4, 1, 0, 4, 3, 1, 2, 1, 0, 0, 0, 4, 4, 0, 2, 4, 4, 0, 2, 1, 2, 2, 1, 1, 4, 3, 0, 3, 3, 3, 3, 3, 1, 1, 0, 1, 4, 1, 3, 3, 2, 0, 1, 4, 1, 3, 3, 2, 4, 0, 2, 4, 0, 0, 2, 3, 0, 2, 3, 3, 0, 1, 4, 1, 4, 2, 4, 2, 1, 1, 4, 4, 4, 3, 0, 1, 3, 4, 4, 4, 4, 4, 2, 4, 4, 0, 0, 3, 3, 2, 4, 3, 0, 1, 3, 4, 3, 4, 3, 1, 1, 4, 1, 4, 0, 4, 0, 0, 4, 2, 1, 1, 4, 0, 4, 1, 1, 1, 2, 4, 0, 3, 2, 4, 2, 3, 0, 3, 1, 4, 1, 2, 3, 4, 3, 2, 1, 1, 0, 4, 4, 1, 2, 4, 4, 4, 3, 4, 4, 0, 4, 2, 3, 3, 3, 0, 1, 2, 4, 3, 3, 1, 1, 4, 2, 1, 1, 2, 0, 1, 2, 3, 0, 1, 1, 2, 0, 3, 0, 3, 4, 3, 2, 4, 4, 3, 4, 4, 3, 4, 2, 2, 4, 1, 4, 2, 3, 1, 2, 4, 0, 4, 1, 3, 1, 2, 0, 1, 0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 3, 0, 4, 3, 4, 0, 0, 2, 3, 3, 2, 2, 4, 1, 3, 4, 2, 2, 4, 1, 1, 2, 4, 2, 3, 2, 4, 2, 0, 1, 2, 4, 0, 0, 0, 3, 1, 2, 1, 3, 4, 1, 2, 3, 0, 0, 1, 1]
pubkeycol570 = [1, 0, 0, 3, 4, 3, 3, 1, 4, 1, 0, 4, 3, 2, 3, 3, 0, 2, 2, 0, 1, 3, 4, 3, 3, 0, 2, 0, 1, 3, 1, 2, 4, 0, 0, 0, 1, 2, 3, 0, 4, 0, 4, 4, 4, 3, 2, 0, 4, 3, 2, 4, 4, 0, 2, 4, 0, 3, 1, 2, 2, 1, 3, 3, 4, 3, 3, 4, 3, 1, 0, 3, 2, 2, 1, 1, 1, 2, 2, 0, 3, 0, 4, 4, 4, 1, 0, 1, 3, 1, 0, 4, 2, 0, 0, 2, 2, 4, 2, 2, 3, 2, 3, 4, 3, 2, 0, 2, 1, 2, 1, 3, 4, 0, 0, 3, 1, 0, 4, 0, 1, 2, 4, 3, 0, 4, 3, 4, 0, 3, 1, 2, 1, 0, 4, 4, 3, 1, 2, 4, 0, 1, 3, 0, 4, 3, 4, 2, 3, 4, 0, 2, 1, 0, 0, 1, 0, 3, 1, 3, 4, 3, 2, 0, 3, 0, 3, 0, 3, 2, 1, 3, 0, 3, 3, 1, 4, 2, 4, 1, 2, 4, 2, 4, 3, 1, 3, 2, 4, 3, 4, 0, 1, 3, 1, 3, 1, 2, 3, 4, 0, 2, 0, 2, 2, 3, 4, 2, 2, 3, 4, 2, 4, 4, 0, 2, 3, 3, 2, 2, 1, 3, 4, 3, 3, 4, 0, 3, 2, 4, 4, 3, 0, 4, 2, 4, 4, 4, 1, 0, 3, 3, 1, 1, 0, 1, 4, 3, 2, 3, 2, 4, 1, 4, 1, 3, 4, 4, 1, 4, 2, 1, 2, 1, 3, 3, 0, 1, 3, 4, 2, 0, 1, 4, 4, 4, 2, 0, 1, 3, 4, 0, 1, 4, 2, 0, 3, 3, 0, 0, 4, 2, 4, 0, 1, 2, 4, 0, 3, 4, 3, 2, 4, 0, 3, 1, 1, 3, 4, 3, 2, 2, 2, 2, 2, 4, 3, 2, 2, 2, 1, 4, 1, 3, 3, 1, 1, 2, 1, 3, 3, 2, 2, 0, 3, 1, 0, 2, 1, 1, 4, 2, 4, 2, 1, 4, 0, 3, 1, 2, 3, 4, 1, 2, 4, 0, 1, 1, 1, 1, 2, 2, 3, 0, 0, 2, 4, 2, 1, 4, 2, 2, 1, 4, 2, 1, 3, 1, 2, 1, 0, 4, 4, 0, 3, 2, 0, 4, 2, 3, 4, 0, 1, 4, 1, 0, 4, 3, 2, 3]
pubkeycol571 = [3, 4, 3, 4, 1, 2, 3, 2, 0, 1, 4, 3, 3, 4, 3, 0, 4, 0, 3, 4, 1, 3, 1, 3, 4, 4, 3, 0, 3, 4, 3, 4, 3, 3, 0, 2, 2, 0, 3, 2, 4, 3, 0, 2, 1, 3, 2, 1, 2, 0, 0, 0, 1, 1, 2, 3, 2, 1, 4, 2, 4, 3, 4, 2, 4, 2, 3, 1, 2, 3, 0, 0, 4, 2, 4, 0, 0, 2, 4, 4, 0, 1, 1, 2, 3, 4, 0, 0, 3, 1, 2, 1, 4, 0, 1, 3, 2, 1, 0, 4, 0, 1, 2, 4, 3, 1, 1, 3, 2, 0, 4, 4, 1, 4, 2, 1, 2, 4, 2, 3, 1, 4, 3, 0, 3, 3, 0, 3, 1, 4, 2, 2, 4, 2, 1, 4, 0, 2, 0, 2, 4, 4, 1, 3, 0, 2, 2, 2, 4, 2, 0, 4, 0, 3, 1, 4, 1, 2, 1, 2, 4, 0, 4, 3, 3, 3, 4, 4, 0, 2, 0, 1, 3, 4, 1, 2, 0, 4, 2, 0, 3, 0, 2, 2, 4, 1, 3, 3, 3, 0, 1, 0, 4, 4, 2, 1, 1, 4, 1, 2, 0, 0, 0, 0, 4, 2, 3, 2, 1, 4, 4, 2, 1, 3, 0, 1, 2, 4, 2, 4, 4, 2, 1, 0, 1, 3, 0, 3, 3, 0, 4, 3, 1, 2, 2, 0, 1, 1, 3, 0, 1, 2, 3, 4, 4, 2, 3, 0, 1, 0, 1, 3, 4, 1, 3, 2, 1, 0, 3, 3, 2, 2, 3, 4, 4, 4, 0, 4, 3, 1, 4, 4, 4, 0, 0, 3, 3, 3, 0, 0, 1, 4, 3, 3, 3, 1, 0, 0, 2, 4, 4, 2, 2, 0, 0, 3, 2, 2, 3, 0, 0, 3, 2, 1, 1, 2, 2, 1, 0, 4, 2, 0, 0, 1, 1, 1, 3, 2, 3, 2, 0, 4, 1, 4, 1, 1, 2, 3, 3, 3, 3, 3, 0, 2, 2, 0, 0, 4, 1, 3, 0, 4, 1, 2, 0, 0, 0, 0, 3, 1, 2, 1, 2, 4, 4, 3, 0, 2, 4, 3, 1, 2, 3, 2, 3, 0, 1, 0, 1, 0, 0, 2, 1, 1, 4, 4, 1, 2, 0, 0, 0, 1, 4, 4, 4, 2, 3, 3, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 1, 0]
pubkeycol572 = [4, 3, 4, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 4, 3, 1, 0, 4, 3, 1, 1, 2, 4, 0, 4, 2, 0, 0, 4, 0, 1, 0, 1, 2, 4, 0, 1, 4, 4, 3, 3, 4, 3, 1, 4, 0, 0, 3, 1, 0, 0, 1, 2, 0, 0, 4, 4, 0, 4, 4, 1, 3, 4, 2, 1, 1, 1, 2, 0, 3, 4, 1, 0, 4, 0, 2, 4, 1, 0, 3, 2, 3, 4, 0, 0, 4, 1, 1, 0, 2, 4, 2, 4, 4, 0, 3, 3, 2, 1, 4, 2, 2, 4, 2, 0, 3, 3, 2, 2, 0, 0, 4, 1, 3, 4, 1, 4, 1, 2, 1, 2, 2, 1, 0, 1, 4, 3, 0, 0, 3, 3, 3, 3, 1, 2, 1, 4, 4, 4, 0, 3, 4, 3, 3, 3, 2, 2, 1, 3, 2, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 1, 2, 3, 2, 2, 1, 0, 1, 2, 2, 4, 1, 0, 1, 1, 0, 4, 4, 3, 2, 1, 3, 3, 1, 4, 2, 4, 1, 2, 0, 4, 0, 1, 0, 4, 4, 4, 3, 3, 4, 3, 4, 4, 4, 3, 1, 1, 4, 0, 0, 0, 3, 0, 0, 0, 0, 4, 2, 0, 4, 1, 4, 2, 0, 0, 4, 2, 3, 0, 4, 0, 2, 3, 3, 2, 0, 4, 2, 0, 2, 2, 0, 4, 0, 0, 0, 3, 1, 2, 1, 4, 3, 1, 4, 0, 4, 1, 2, 1, 4, 1, 3, 4, 0, 0, 2, 3, 0, 1, 3, 0, 2, 2, 1, 0, 3, 0, 2, 2, 2, 1, 1, 2, 0, 0, 4, 3, 3, 0, 3, 1, 1, 0, 3, 3, 2, 2, 4, 2, 3, 1, 2, 3, 3, 2, 4, 3, 0, 3, 4, 2, 3, 4, 3, 4, 1, 0, 2, 4, 1, 4, 1, 2, 1, 0, 4, 0, 0, 0, 2, 2, 1, 4, 0, 2, 1, 1, 4, 2, 4, 0, 0, 3, 3, 0, 3, 1, 2, 3, 0, 0, 2, 0, 1, 1, 4, 4, 2, 1, 0, 0, 0, 2, 1, 2, 4, 3, 1, 0, 3, 0, 3, 4, 3, 4, 1, 3, 2, 4, 1, 3, 1, 3, 2, 1, 3, 0, 2, 3, 1, 3, 2, 1, 4]
pubkeycol573 = [3, 0, 0, 2, 2, 3, 0, 1, 0, 3, 4, 2, 0, 3, 4, 3, 1, 4, 0, 4, 3, 1, 2, 0, 0, 3, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 4, 2, 2, 0, 2, 0, 3, 2, 2, 1, 3, 2, 4, 4, 1, 4, 0, 3, 4, 4, 1, 0, 1, 4, 3, 1, 2, 0, 4, 0, 4, 1, 3, 3, 2, 3, 4, 2, 3, 1, 0, 4, 1, 3, 0, 0, 4, 1, 1, 4, 2, 4, 1, 1, 1, 4, 3, 4, 2, 4, 0, 1, 0, 1, 1, 0, 4, 3, 1, 4, 1, 3, 4, 0, 0, 4, 2, 0, 2, 4, 0, 0, 2, 0, 0, 1, 1, 3, 1, 2, 3, 1, 4, 1, 1, 0, 0, 3, 0, 4, 1, 4, 0, 3, 4, 0, 4, 1, 0, 3, 3, 0, 0, 1, 2, 1, 0, 0, 3, 0, 2, 1, 1, 2, 2, 2, 2, 3, 0, 3, 2, 2, 4, 1, 2, 0, 0, 0, 3, 3, 2, 3, 0, 3, 3, 0, 1, 3, 2, 4, 4, 3, 4, 3, 1, 3, 3, 2, 2, 2, 4, 3, 1, 4, 1, 2, 0, 4, 2, 2, 3, 4, 3, 3, 1, 0, 1, 3, 3, 1, 4, 4, 0, 3, 2, 3, 4, 3, 4, 3, 3, 4, 3, 3, 0, 0, 4, 2, 4, 2, 3, 3, 1, 1, 2, 2, 3, 0, 3, 0, 2, 2, 3, 0, 2, 1, 4, 2, 4, 4, 1, 0, 2, 3, 2, 0, 0, 3, 3, 4, 3, 4, 4, 3, 2, 2, 0, 0, 1, 3, 4, 0, 4, 4, 1, 0, 1, 2, 1, 1, 1, 3, 4, 1, 3, 0, 4, 0, 0, 2, 3, 1, 4, 1, 1, 3, 4, 3, 3, 2, 3, 3, 1, 1, 1, 4, 4, 4, 0, 3, 2, 3, 2, 4, 2, 2, 2, 2, 2, 3, 2, 2, 0, 0, 4, 1, 1, 2, 1, 1, 1, 4, 0, 1, 2, 0, 3, 3, 3, 3, 2, 4, 1, 2, 3, 3, 0, 0, 1, 3, 2, 3, 4, 2, 0, 0, 3, 4, 2, 4, 3, 2, 1, 3, 3, 0, 2, 1, 2, 0, 4, 1, 2, 0, 4, 2, 2, 2, 4, 0, 4, 1, 1, 0, 4, 3, 0, 0, 1]
pubkeycol574 = [0, 2, 1, 0, 2, 4, 0, 0, 4, 3, 0, 0, 3, 3, 1, 3, 1, 3, 1, 2, 0, 0, 2, 0, 2, 1, 3, 4, 3, 3, 4, 1, 2, 3, 3, 2, 0, 1, 3, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 4, 2, 3, 0, 3, 3, 0, 0, 3, 0, 0, 2, 0, 3, 0, 4, 1, 0, 4, 0, 4, 3, 3, 4, 4, 3, 3, 4, 2, 2, 4, 4, 2, 3, 0, 0, 1, 2, 4, 0, 4, 1, 3, 0, 0, 2, 4, 3, 4, 1, 1, 4, 0, 0, 3, 3, 2, 2, 4, 2, 1, 4, 4, 4, 2, 2, 0, 4, 1, 3, 2, 1, 4, 0, 3, 1, 1, 2, 2, 3, 4, 4, 0, 3, 3, 2, 3, 4, 2, 3, 3, 3, 0, 4, 4, 1, 0, 0, 3, 2, 1, 4, 0, 1, 2, 0, 3, 1, 3, 3, 2, 0, 1, 3, 0, 4, 1, 3, 3, 2, 0, 0, 2, 0, 0, 0, 3, 4, 3, 1, 2, 4, 0, 3, 4, 0, 4, 2, 4, 3, 1, 4, 2, 0, 4, 3, 3, 1, 1, 2, 3, 3, 4, 4, 0, 0, 2, 4, 4, 4, 2, 2, 2, 1, 1, 4, 2, 2, 3, 0, 1, 1, 4, 4, 3, 1, 0, 2, 1, 2, 2, 1, 3, 4, 1, 2, 1, 4, 2, 4, 2, 1, 4, 4, 4, 1, 1, 1, 2, 0, 2, 4, 4, 0, 3, 4, 2, 1, 4, 2, 0, 3, 1, 4, 2, 2, 1, 2, 1, 3, 3, 1, 4, 2, 1, 2, 0, 2, 1, 4, 0, 2, 1, 3, 0, 4, 4, 0, 3, 0, 4, 0, 2, 2, 3, 0, 3, 4, 4, 3, 4, 2, 2, 3, 1, 1, 1, 0, 2, 4, 2, 1, 2, 4, 3, 0, 0, 3, 2, 0, 4, 0, 2, 1, 1, 1, 4, 4, 2, 3, 4, 2, 3, 2, 1, 3, 2, 1, 0, 3, 1, 2, 4, 3, 3, 4, 3, 1, 0, 4, 2, 1, 2, 3, 2, 2, 4, 0, 0, 1, 3, 1, 4, 2, 4, 2, 2, 4, 1, 2, 4, 4, 1, 3, 4, 2, 4, 0, 2, 2, 4, 3, 4, 0, 0, 2, 3, 3, 0, 0, 3, 0, 0, 3, 1, 2, 4]
pubkeycol575 = [4, 1, 3, 0, 3, 1, 3, 0, 1, 3, 0, 4, 0, 1, 0, 3, 3, 0, 1, 0, 2, 3, 4, 4, 3, 3, 3, 0, 2, 2, 3, 1, 3, 4, 0, 1, 0, 1, 4, 0, 4, 2, 2, 0, 4, 1, 2, 2, 0, 0, 2, 3, 1, 2, 0, 3, 0, 0, 0, 4, 2, 3, 2, 4, 4, 0, 4, 2, 2, 3, 3, 1, 3, 2, 4, 3, 1, 0, 0, 0, 4, 3, 2, 3, 4, 0, 3, 2, 3, 3, 2, 0, 4, 0, 4, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 4, 4, 1, 0, 2, 4, 3, 4, 2, 1, 4, 0, 1, 4, 4, 1, 1, 3, 2, 3, 2, 4, 0, 2, 3, 0, 4, 1, 1, 3, 3, 3, 2, 2, 2, 0, 0, 1, 1, 4, 3, 2, 3, 0, 2, 3, 1, 1, 4, 4, 1, 4, 0, 4, 4, 3, 1, 2, 2, 4, 0, 1, 0, 3, 3, 0, 0, 4, 0, 3, 1, 2, 3, 1, 3, 4, 3, 1, 4, 0, 0, 2, 2, 4, 3, 4, 3, 2, 3, 4, 3, 0, 3, 2, 3, 2, 0, 3, 4, 4, 3, 2, 2, 0, 3, 1, 3, 0, 4, 4, 3, 0, 4, 3, 0, 0, 4, 2, 0, 3, 1, 3, 1, 4, 1, 0, 3, 4, 3, 0, 4, 0, 0, 3, 0, 1, 2, 3, 4, 2, 2, 3, 2, 2, 3, 2, 0, 1, 1, 1, 2, 4, 2, 1, 4, 3, 3, 1, 0, 3, 2, 1, 2, 1, 1, 4, 3, 1, 1, 2, 4, 4, 4, 4, 2, 1, 3, 3, 3, 1, 2, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 3, 1, 1, 4, 0, 2, 1, 3, 0, 0, 3, 0, 2, 0, 0, 2, 1, 3, 4, 3, 1, 2, 3, 2, 4, 1, 0, 2, 4, 0, 1, 0, 4, 4, 3, 1, 3, 3, 4, 1, 0, 0, 1, 3, 2, 1, 4, 3, 0, 0, 0, 0, 4, 0, 2, 3, 3, 0, 3, 3, 4, 4, 3, 1, 0, 0, 0, 4, 1, 1, 0, 0, 3, 1, 2, 2, 0, 4, 0, 2, 0, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 2, 2, 3, 3, 3, 4, 3, 3, 2, 1, 2, 2]
pubkeycol576 = [1, 1, 0, 4, 3, 0, 0, 0, 3, 4, 3, 1, 3, 2, 1, 3, 4, 4, 0, 2, 0, 0, 3, 1, 3, 2, 3, 3, 2, 3, 2, 0, 4, 4, 0, 4, 3, 0, 2, 3, 0, 2, 4, 0, 0, 1, 0, 2, 1, 2, 4, 1, 0, 0, 1, 1, 4, 1, 0, 3, 2, 3, 2, 3, 2, 0, 3, 3, 3, 4, 2, 3, 4, 3, 3, 0, 4, 2, 2, 0, 4, 1, 0, 4, 4, 2, 1, 1, 3, 0, 4, 1, 1, 0, 4, 3, 0, 1, 4, 2, 1, 2, 1, 3, 2, 2, 1, 0, 1, 0, 4, 4, 3, 2, 2, 1, 2, 0, 4, 1, 1, 1, 3, 2, 1, 0, 3, 2, 4, 2, 4, 0, 4, 4, 2, 0, 0, 2, 2, 4, 2, 1, 0, 0, 1, 0, 1, 0, 3, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 4, 1, 2, 3, 2, 2, 1, 4, 0, 3, 0, 1, 4, 0, 4, 1, 1, 0, 1, 2, 3, 2, 4, 4, 3, 3, 1, 0, 3, 2, 2, 1, 4, 1, 0, 0, 1, 2, 3, 3, 3, 4, 1, 4, 3, 1, 4, 3, 2, 3, 2, 1, 3, 1, 4, 0, 4, 0, 1, 0, 4, 2, 4, 0, 4, 4, 4, 1, 0, 4, 4, 4, 4, 1, 1, 2, 1, 3, 4, 1, 4, 4, 2, 1, 2, 2, 0, 0, 0, 2, 3, 2, 3, 1, 1, 1, 0, 3, 3, 0, 2, 3, 3, 2, 3, 1, 3, 0, 3, 0, 3, 2, 3, 2, 2, 0, 4, 1, 3, 1, 2, 1, 3, 2, 4, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 3, 4, 3, 4, 4, 1, 0, 0, 2, 3, 2, 0, 2, 3, 3, 4, 2, 0, 3, 2, 1, 0, 3, 3, 3, 1, 3, 2, 1, 2, 4, 2, 3, 2, 4, 4, 1, 2, 3, 4, 3, 2, 1, 0, 0, 0, 3, 1, 2, 4, 2, 0, 4, 4, 4, 4, 1, 1, 4, 0, 4, 2, 1, 0, 1, 3, 4, 3, 4, 4, 2, 4, 2, 4, 3, 1, 2, 1, 3, 1, 0, 1, 2, 3, 3, 3, 1, 4, 1, 3, 3, 1, 2, 4, 2, 1, 1, 0, 4, 0, 1, 3, 2, 0, 3, 2]
pubkeycol577 = [0, 0, 3, 3, 4, 3, 0, 2, 4, 1, 0, 2, 3, 2, 2, 2, 3, 4, 1, 1, 4, 1, 1, 4, 4, 3, 3, 0, 2, 0, 1, 1, 3, 4, 4, 0, 1, 4, 2, 4, 2, 2, 2, 2, 1, 3, 3, 0, 0, 4, 1, 2, 2, 1, 1, 0, 1, 0, 3, 4, 0, 2, 2, 3, 4, 2, 2, 1, 0, 3, 0, 0, 1, 0, 0, 3, 0, 1, 0, 4, 3, 1, 3, 0, 2, 0, 4, 3, 0, 4, 1, 3, 0, 0, 1, 2, 3, 4, 3, 0, 2, 3, 4, 1, 0, 1, 1, 3, 0, 1, 2, 0, 0, 1, 0, 3, 1, 4, 0, 2, 4, 3, 3, 0, 0, 1, 3, 4, 0, 4, 1, 2, 2, 1, 2, 2, 4, 0, 1, 4, 1, 4, 1, 2, 0, 0, 2, 3, 4, 1, 1, 3, 4, 1, 2, 1, 0, 2, 4, 3, 1, 2, 1, 3, 3, 2, 1, 3, 4, 2, 0, 3, 0, 1, 2, 0, 1, 4, 2, 2, 2, 3, 3, 2, 2, 4, 3, 1, 1, 0, 4, 1, 2, 2, 4, 4, 1, 2, 3, 3, 2, 0, 0, 4, 4, 1, 4, 3, 2, 3, 4, 1, 4, 3, 0, 3, 0, 4, 4, 1, 2, 4, 3, 2, 1, 0, 0, 3, 1, 1, 0, 4, 4, 2, 1, 1, 2, 3, 3, 1, 3, 0, 4, 4, 0, 1, 2, 1, 2, 0, 0, 4, 1, 2, 2, 0, 3, 4, 1, 1, 3, 1, 4, 4, 4, 2, 3, 1, 3, 4, 2, 4, 3, 3, 3, 4, 1, 3, 0, 4, 1, 1, 4, 0, 1, 2, 1, 2, 4, 1, 0, 4, 2, 2, 1, 2, 1, 1, 2, 1, 1, 4, 2, 4, 2, 1, 4, 4, 2, 1, 0, 2, 4, 4, 0, 2, 2, 4, 4, 4, 2, 1, 1, 1, 4, 0, 0, 2, 3, 2, 4, 4, 0, 0, 4, 4, 1, 3, 3, 2, 1, 2, 2, 3, 3, 4, 2, 2, 2, 0, 3, 4, 4, 1, 2, 0, 2, 0, 0, 3, 0, 3, 2, 1, 1, 2, 0, 4, 0, 0, 1, 4, 0, 1, 3, 1, 4, 2, 1, 3, 3, 4, 3, 3, 0, 4, 0, 0, 3, 4, 0, 0, 3, 0, 4, 0, 0, 3, 3, 4]
pubkeycol578 = [4, 0, 4, 3, 1, 1, 0, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 0, 0, 1, 4, 0, 0, 3, 1, 3, 3, 2, 2, 4, 1, 1, 1, 4, 2, 2, 4, 4, 3, 0, 1, 4, 2, 3, 1, 0, 1, 0, 3, 2, 4, 0, 2, 1, 0, 4, 0, 2, 1, 4, 1, 4, 2, 1, 0, 4, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 1, 0, 1, 4, 2, 3, 1, 3, 0, 3, 1, 0, 4, 1, 0, 2, 2, 4, 1, 2, 4, 3, 4, 3, 2, 0, 4, 1, 2, 1, 2, 4, 3, 2, 4, 2, 4, 2, 0, 0, 1, 3, 4, 4, 2, 4, 3, 3, 3, 1, 2, 2, 3, 2, 1, 4, 3, 1, 4, 0, 1, 2, 0, 4, 3, 2, 2, 1, 4, 1, 0, 4, 2, 4, 1, 4, 4, 0, 0, 3, 1, 4, 3, 3, 2, 2, 3, 2, 4, 1, 4, 3, 2, 4, 1, 3, 0, 4, 1, 3, 3, 0, 4, 3, 1, 4, 4, 1, 2, 4, 0, 4, 4, 2, 3, 3, 3, 1, 0, 2, 2, 1, 3, 2, 3, 3, 2, 2, 1, 1, 1, 4, 3, 4, 1, 1, 1, 1, 0, 2, 4, 0, 4, 0, 1, 4, 4, 3, 4, 2, 4, 3, 1, 4, 1, 2, 1, 2, 4, 1, 0, 2, 3, 0, 0, 1, 3, 0, 2, 2, 0, 2, 2, 0, 4, 4, 4, 2, 2, 1, 4, 0, 4, 4, 3, 4, 0, 1, 4, 2, 1, 3, 4, 3, 1, 0, 2, 4, 0, 0, 3, 2, 1, 3, 4, 2, 1, 0, 4, 0, 1, 0, 2, 1, 4, 3, 3, 3, 3, 3, 0, 2, 3, 1, 3, 2, 2, 1, 4, 3, 2, 4, 1, 2, 0, 2, 2, 3, 4, 1, 0, 3, 4, 1, 3, 2, 2, 1, 4, 3, 2, 3, 2, 2, 4, 3, 2, 0, 0, 2, 2, 3, 0, 0, 2, 0, 1, 4, 4, 1, 4, 3, 2, 4, 4, 0, 4, 3, 2, 2, 2, 0, 4, 0, 1, 1, 0, 1, 4, 0, 1, 2, 1, 1, 1, 2, 4, 0, 1, 0, 0, 3, 3, 0, 4, 3, 3, 3, 2, 1, 3, 0, 2, 4, 3, 3, 2, 0, 0, 3, 1, 3, 1, 3]
pubkeycol579 = [0, 3, 0, 3, 4, 3, 4, 3, 0, 3, 4, 1, 4, 1, 4, 4, 0, 1, 1, 2, 2, 3, 4, 0, 3, 3, 4, 0, 3, 2, 2, 2, 2, 0, 2, 2, 3, 2, 4, 2, 1, 0, 4, 4, 3, 1, 3, 1, 3, 1, 2, 3, 4, 1, 4, 2, 0, 3, 3, 2, 3, 4, 1, 4, 4, 4, 1, 1, 4, 2, 0, 1, 1, 2, 4, 4, 3, 1, 0, 4, 3, 1, 4, 2, 1, 1, 3, 2, 1, 1, 4, 0, 2, 0, 0, 2, 3, 3, 2, 0, 2, 4, 1, 3, 3, 0, 4, 0, 1, 0, 0, 4, 3, 1, 4, 3, 0, 0, 4, 3, 0, 3, 3, 1, 1, 0, 4, 0, 1, 0, 3, 1, 3, 3, 4, 4, 2, 0, 4, 2, 1, 4, 0, 1, 2, 1, 1, 1, 1, 4, 4, 2, 3, 4, 4, 0, 3, 0, 0, 1, 3, 2, 2, 4, 1, 4, 4, 2, 1, 2, 3, 2, 4, 1, 0, 0, 3, 4, 2, 4, 4, 2, 3, 3, 1, 3, 0, 2, 2, 0, 1, 0, 2, 0, 1, 4, 3, 3, 0, 0, 4, 2, 4, 4, 3, 1, 4, 3, 2, 4, 2, 1, 4, 4, 1, 4, 2, 4, 0, 3, 0, 3, 3, 1, 0, 2, 2, 1, 4, 0, 4, 4, 2, 4, 2, 2, 1, 2, 1, 3, 0, 3, 2, 3, 3, 3, 2, 0, 2, 2, 2, 0, 3, 3, 0, 3, 2, 1, 1, 4, 3, 4, 1, 4, 2, 2, 0, 1, 3, 3, 0, 3, 4, 0, 1, 0, 4, 2, 0, 1, 3, 2, 2, 3, 4, 1, 4, 2, 4, 1, 0, 3, 4, 4, 2, 2, 1, 3, 4, 0, 1, 2, 1, 3, 2, 4, 2, 4, 1, 0, 1, 4, 2, 0, 4, 2, 4, 0, 0, 3, 3, 3, 1, 3, 2, 0, 2, 1, 0, 0, 4, 0, 2, 4, 2, 3, 2, 0, 0, 0, 3, 0, 1, 2, 1, 0, 1, 1, 3, 1, 0, 0, 4, 3, 1, 3, 1, 1, 2, 4, 0, 0, 4, 0, 1, 3, 2, 4, 4, 4, 1, 3, 3, 1, 1, 0, 3, 4, 1, 1, 0, 0, 3, 4, 4, 2, 3, 0, 1, 3, 3, 0, 0, 3, 0, 4, 0, 3, 3, 2]
pubkeycol580 = [2, 2, 4, 4, 1, 1, 0, 3, 2, 0, 4, 3, 4, 0, 1, 2, 2, 0, 3, 1, 0, 1, 3, 3, 1, 4, 3, 3, 2, 4, 4, 1, 2, 1, 2, 4, 3, 2, 3, 2, 0, 4, 3, 0, 0, 4, 3, 0, 2, 4, 3, 3, 4, 0, 0, 1, 2, 4, 4, 1, 2, 4, 1, 4, 0, 4, 4, 1, 2, 1, 4, 3, 3, 2, 4, 2, 4, 1, 0, 1, 3, 1, 2, 2, 4, 4, 1, 2, 3, 1, 3, 2, 3, 2, 0, 3, 2, 4, 3, 3, 1, 2, 4, 4, 4, 2, 1, 4, 4, 3, 1, 3, 0, 3, 0, 1, 0, 0, 4, 0, 2, 0, 2, 3, 1, 0, 2, 3, 3, 3, 4, 0, 2, 4, 4, 1, 2, 1, 1, 2, 4, 4, 4, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 3, 1, 1, 1, 4, 0, 2, 3, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 4, 4, 1, 0, 1, 4, 0, 1, 1, 0, 1, 0, 2, 2, 1, 3, 3, 2, 3, 1, 1, 2, 4, 1, 2, 2, 4, 1, 2, 3, 0, 1, 2, 4, 2, 2, 4, 2, 2, 1, 1, 2, 1, 3, 2, 4, 4, 0, 2, 4, 3, 2, 3, 1, 3, 3, 2, 4, 4, 1, 4, 2, 0, 3, 3, 2, 1, 2, 1, 3, 4, 0, 3, 3, 3, 1, 4, 0, 1, 1, 4, 2, 1, 3, 3, 1, 3, 2, 4, 2, 1, 2, 2, 1, 3, 2, 1, 2, 2, 2, 0, 4, 1, 3, 1, 0, 0, 1, 1, 2, 0, 4, 4, 4, 0, 2, 3, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 4, 0, 4, 4, 0, 0, 2, 3, 0, 2, 1, 4, 2, 1, 0, 4, 0, 1, 4, 1, 0, 4, 4, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 4, 1, 2, 2, 2, 2, 0, 4, 1, 3, 3, 1, 2, 1, 1, 1, 0, 1, 4, 3, 3, 3, 4, 4, 3, 0, 0, 0, 1, 2, 0, 4, 2, 1, 0, 1, 2, 0, 0, 1, 3, 4, 0, 4, 3, 1, 0, 1, 4, 1, 1, 3, 3, 3, 1]
pubkeycol581 = [3, 0, 4, 0, 4, 0, 1, 0, 0, 3, 2, 1, 4, 2, 1, 3, 2, 3, 4, 2, 1, 3, 2, 4, 2, 0, 0, 3, 1, 4, 0, 0, 1, 2, 4, 2, 2, 2, 1, 4, 0, 1, 1, 2, 3, 3, 3, 4, 2, 0, 0, 1, 0, 2, 4, 3, 0, 0, 2, 1, 2, 2, 3, 2, 1, 0, 4, 3, 3, 3, 2, 3, 1, 1, 1, 1, 1, 0, 1, 1, 0, 3, 0, 1, 1, 0, 1, 3, 4, 4, 3, 2, 4, 2, 0, 0, 0, 3, 3, 3, 3, 4, 4, 1, 4, 3, 1, 4, 4, 4, 1, 0, 0, 1, 2, 4, 0, 0, 2, 3, 3, 1, 1, 1, 0, 3, 4, 4, 2, 2, 2, 0, 3, 0, 1, 0, 3, 4, 1, 1, 3, 0, 2, 4, 4, 3, 4, 1, 4, 4, 2, 2, 1, 4, 3, 3, 1, 3, 3, 4, 2, 2, 1, 1, 4, 0, 3, 4, 4, 4, 4, 4, 4, 0, 4, 0, 3, 1, 3, 3, 3, 1, 3, 2, 1, 1, 0, 1, 4, 4, 0, 1, 1, 3, 3, 1, 3, 1, 1, 4, 1, 2, 1, 0, 3, 2, 3, 2, 2, 4, 0, 1, 1, 2, 4, 0, 3, 0, 0, 4, 2, 0, 4, 3, 3, 4, 2, 4, 2, 0, 0, 1, 0, 4, 2, 0, 2, 0, 1, 3, 2, 0, 3, 4, 0, 0, 0, 0, 0, 4, 0, 3, 1, 2, 4, 3, 4, 1, 3, 0, 2, 2, 2, 2, 0, 4, 3, 2, 3, 4, 2, 1, 1, 3, 0, 1, 1, 1, 0, 3, 2, 0, 1, 2, 3, 2, 2, 3, 4, 2, 3, 1, 3, 2, 3, 0, 1, 3, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 4, 4, 3, 1, 3, 2, 0, 4, 1, 2, 1, 2, 2, 4, 1, 2, 2, 2, 0, 4, 0, 1, 4, 0, 3, 0, 2, 2, 0, 3, 4, 2, 4, 3, 4, 3, 0, 2, 3, 2, 4, 3, 4, 1, 2, 4, 1, 2, 3, 0, 4, 2, 4, 4, 0, 3, 0, 1, 3, 4, 1, 4, 4, 2, 2, 2, 2, 0, 1, 0, 1, 3, 2, 4, 0, 3, 0, 1, 3, 2, 0, 3, 4, 3, 3, 1, 4, 0, 4, 0, 2, 3]
pubkeycol582 = [4, 2, 2, 2, 3, 3, 3, 2, 0, 1, 4, 0, 2, 1, 3, 3, 2, 1, 2, 2, 2, 2, 2, 0, 0, 4, 0, 4, 1, 0, 1, 4, 0, 2, 2, 4, 3, 1, 1, 3, 2, 4, 0, 1, 2, 0, 2, 4, 2, 2, 0, 4, 4, 1, 1, 3, 4, 0, 4, 0, 0, 1, 4, 4, 0, 4, 2, 2, 3, 4, 4, 4, 4, 2, 1, 0, 0, 1, 4, 1, 2, 4, 0, 4, 0, 4, 3, 2, 0, 4, 3, 1, 3, 3, 0, 3, 2, 3, 4, 3, 2, 2, 4, 3, 4, 3, 0, 3, 0, 2, 2, 0, 1, 0, 3, 1, 4, 2, 0, 2, 2, 4, 3, 1, 4, 2, 3, 1, 3, 1, 3, 1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 4, 0, 2, 4, 1, 3, 2, 3, 0, 4, 3, 2, 4, 4, 3, 3, 2, 0, 1, 3, 3, 2, 4, 2, 4, 2, 3, 3, 2, 4, 2, 4, 1, 0, 3, 4, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 1, 4, 4, 4, 1, 1, 4, 0, 1, 2, 2, 2, 1, 1, 0, 2, 3, 4, 3, 4, 2, 3, 4, 2, 4, 2, 3, 2, 3, 2, 0, 3, 2, 4, 2, 2, 0, 0, 3, 4, 4, 4, 1, 4, 3, 0, 3, 4, 2, 1, 1, 4, 3, 2, 2, 4, 1, 0, 2, 0, 1, 1, 3, 3, 4, 1, 2, 4, 4, 2, 1, 1, 4, 3, 3, 2, 4, 3, 4, 3, 1, 2, 3, 1, 1, 0, 1, 3, 4, 0, 0, 0, 2, 4, 3, 0, 3, 1, 4, 1, 2, 4, 1, 4, 0, 1, 4, 3, 0, 3, 0, 4, 0, 3, 1, 2, 2, 0, 3, 0, 2, 3, 4, 2, 0, 0, 0, 0, 1, 3, 3, 3, 1, 2, 2, 0, 0, 1, 0, 4, 4, 4, 4, 2, 2, 1, 2, 4, 3, 2, 4, 3, 1, 4, 1, 4, 2, 1, 4, 2, 4, 1, 1, 3, 1, 1, 4, 2, 4, 0, 2, 3, 4, 0, 0, 3, 1, 3, 1, 4, 1, 0, 0, 0, 0, 3, 1, 2, 4, 2, 0, 3, 4, 3, 2, 0, 2, 1, 2, 3, 2, 1, 0, 4, 0, 3, 3, 2, 1, 2, 3, 0, 1]
pubkeycol583 = [1, 3, 0, 4, 3, 4, 4, 1, 2, 1, 4, 4, 0, 0, 2, 4, 2, 3, 4, 2, 2, 2, 0, 2, 3, 0, 3, 0, 1, 2, 0, 4, 2, 2, 0, 0, 0, 0, 2, 4, 0, 1, 1, 0, 3, 0, 2, 1, 1, 1, 2, 1, 3, 0, 2, 0, 3, 1, 2, 4, 0, 0, 1, 4, 0, 4, 1, 0, 0, 0, 4, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 3, 4, 3, 2, 4, 4, 4, 0, 3, 1, 3, 1, 2, 1, 1, 2, 4, 0, 4, 3, 4, 0, 0, 3, 2, 0, 2, 0, 1, 2, 3, 1, 1, 1, 3, 0, 0, 3, 2, 0, 0, 4, 0, 1, 2, 2, 0, 0, 3, 0, 0, 0, 1, 1, 1, 0, 4, 1, 1, 4, 1, 2, 0, 0, 3, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 4, 4, 0, 4, 2, 2, 4, 3, 4, 2, 0, 3, 3, 4, 1, 1, 2, 2, 0, 1, 4, 2, 1, 2, 3, 3, 1, 0, 2, 2, 4, 3, 4, 2, 2, 4, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 1, 1, 4, 3, 3, 2, 0, 1, 3, 3, 1, 4, 3, 1, 2, 3, 1, 1, 3, 2, 4, 2, 2, 3, 3, 0, 0, 4, 4, 3, 2, 2, 1, 1, 4, 1, 1, 0, 2, 3, 4, 4, 1, 0, 2, 0, 1, 3, 2, 3, 3, 2, 1, 1, 4, 1, 3, 0, 1, 4, 0, 2, 1, 1, 2, 1, 1, 3, 0, 1, 4, 4, 1, 1, 3, 4, 2, 4, 3, 0, 1, 1, 1, 1, 1, 4, 1, 4, 2, 1, 1, 3, 2, 2, 2, 2, 1, 3, 3, 3, 4, 3, 3, 3, 3, 1, 2, 3, 2, 2, 1, 3, 2, 4, 0, 2, 4, 3, 1, 1, 0, 1, 0, 4, 0, 3, 1, 0, 0, 3, 3, 3, 3, 1, 1, 0, 3, 4, 1, 0, 4, 4, 0, 1, 3, 2, 2, 4, 0, 3, 4, 0, 1, 1, 3, 1, 0, 1, 1, 0, 4, 2, 4, 3, 1, 1, 4, 3, 3, 2, 1, 4, 3, 3, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 3, 2, 4, 0, 1, 1, 3, 3]
pubkeycol584 = [4, 0, 1, 4, 3, 1, 1, 4, 3, 4, 3, 2, 4, 2, 4, 1, 3, 0, 2, 2, 0, 3, 3, 1, 0, 4, 0, 0, 3, 4, 4, 1, 1, 0, 0, 2, 4, 2, 4, 1, 0, 1, 1, 2, 4, 2, 4, 0, 3, 0, 2, 4, 1, 4, 4, 2, 3, 4, 2, 0, 2, 0, 0, 4, 0, 0, 3, 2, 2, 0, 2, 4, 1, 1, 3, 0, 1, 1, 3, 4, 1, 1, 4, 2, 3, 4, 4, 4, 3, 3, 1, 4, 3, 1, 0, 4, 3, 3, 4, 1, 0, 4, 0, 1, 1, 2, 0, 4, 0, 4, 2, 0, 0, 2, 3, 0, 1, 3, 0, 4, 4, 4, 2, 2, 1, 1, 0, 4, 4, 4, 1, 2, 0, 0, 1, 1, 2, 4, 0, 4, 2, 3, 2, 4, 2, 1, 2, 2, 0, 2, 2, 1, 4, 1, 0, 4, 1, 2, 4, 4, 0, 0, 1, 3, 3, 3, 2, 3, 2, 3, 0, 2, 2, 0, 2, 0, 0, 1, 0, 4, 3, 4, 2, 0, 1, 0, 1, 0, 4, 1, 0, 3, 3, 2, 3, 3, 1, 3, 4, 2, 4, 3, 0, 2, 2, 0, 4, 1, 2, 2, 2, 2, 1, 2, 3, 4, 3, 2, 0, 0, 2, 2, 2, 4, 2, 2, 4, 2, 4, 0, 1, 0, 4, 1, 3, 3, 4, 0, 1, 2, 0, 2, 4, 3, 4, 1, 3, 4, 0, 3, 1, 1, 1, 3, 3, 1, 1, 4, 3, 1, 2, 3, 3, 0, 4, 1, 1, 0, 4, 3, 3, 4, 3, 2, 3, 4, 0, 0, 2, 2, 1, 0, 0, 4, 1, 4, 1, 1, 4, 0, 2, 2, 0, 0, 1, 0, 4, 0, 4, 1, 0, 4, 4, 4, 3, 1, 4, 4, 0, 3, 1, 0, 0, 1, 1, 1, 3, 3, 0, 1, 2, 3, 3, 4, 3, 1, 1, 0, 2, 4, 0, 0, 1, 0, 0, 4, 4, 2, 2, 1, 0, 2, 3, 2, 1, 2, 3, 3, 4, 0, 4, 2, 3, 4, 3, 0, 2, 3, 0, 0, 2, 2, 1, 4, 1, 1, 4, 4, 3, 0, 3, 2, 4, 2, 3, 2, 0, 4, 4, 0, 4, 2, 2, 1, 1, 4, 0, 2, 1, 1, 4, 2, 4, 0, 0, 0, 2, 0, 0, 0]
pubkeycol585 = [3, 3, 2, 0, 2, 3, 0, 1, 2, 1, 4, 2, 0, 2, 1, 4, 1, 0, 4, 4, 1, 0, 2, 1, 1, 3, 1, 3, 2, 4, 3, 2, 4, 2, 4, 1, 4, 0, 2, 1, 0, 0, 1, 0, 3, 4, 2, 1, 0, 0, 1, 2, 2, 4, 0, 1, 1, 4, 0, 3, 3, 0, 2, 3, 0, 3, 3, 2, 0, 0, 3, 3, 4, 0, 0, 3, 2, 2, 3, 1, 3, 4, 0, 4, 3, 4, 1, 4, 4, 1, 2, 2, 2, 2, 1, 2, 0, 4, 2, 1, 4, 3, 1, 1, 3, 1, 3, 2, 1, 3, 2, 0, 3, 4, 4, 4, 3, 2, 0, 1, 2, 2, 4, 1, 2, 4, 0, 1, 2, 0, 2, 2, 2, 0, 4, 0, 2, 0, 1, 2, 3, 4, 4, 3, 1, 0, 1, 4, 1, 2, 2, 4, 1, 0, 3, 4, 4, 4, 4, 3, 0, 4, 3, 2, 4, 3, 0, 1, 2, 1, 4, 3, 0, 3, 1, 4, 2, 1, 2, 2, 3, 2, 0, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 4, 1, 3, 2, 3, 3, 1, 4, 2, 1, 3, 2, 0, 0, 4, 4, 2, 4, 4, 0, 0, 2, 1, 0, 3, 4, 1, 0, 3, 3, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 4, 4, 1, 2, 3, 4, 2, 0, 2, 1, 2, 4, 2, 4, 2, 2, 0, 1, 3, 4, 1, 3, 0, 4, 4, 0, 0, 2, 1, 3, 2, 3, 3, 2, 2, 4, 2, 0, 0, 0, 0, 0, 0, 0, 4, 1, 4, 4, 0, 1, 3, 1, 1, 1, 1, 1, 0, 4, 3, 2, 1, 3, 4, 3, 0, 4, 4, 0, 0, 1, 1, 4, 2, 2, 2, 0, 2, 1, 1, 0, 3, 2, 3, 3, 1, 0, 4, 2, 3, 4, 3, 1, 3, 3, 3, 1, 2, 0, 2, 2, 0, 3, 3, 3, 4, 2, 2, 0, 4, 0, 4, 3, 2, 4, 2, 4, 2, 1, 2, 0, 0, 0, 1, 3, 1, 1, 0, 2, 1, 3, 3, 2, 1, 1, 2, 0, 0, 2, 0, 4, 0, 4, 0, 1, 1, 1, 1, 4, 0, 0, 1, 0, 2, 4, 2, 1, 3, 3, 1, 2, 1, 4, 2, 0, 3]
pubkeycol586 = [4, 3, 2, 2, 4, 0, 4, 4, 4, 0, 4, 2, 0, 2, 1, 3, 1, 1, 2, 4, 4, 2, 4, 4, 2, 4, 3, 2, 1, 3, 1, 2, 2, 0, 3, 1, 1, 4, 0, 3, 1, 3, 0, 0, 0, 2, 1, 0, 1, 4, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 4, 0, 1, 3, 3, 4, 1, 2, 4, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 4, 4, 1, 1, 3, 1, 4, 3, 1, 3, 4, 3, 4, 2, 1, 1, 1, 0, 4, 2, 3, 0, 1, 1, 2, 0, 3, 1, 4, 4, 1, 0, 0, 4, 3, 1, 0, 0, 1, 1, 4, 4, 3, 3, 3, 1, 1, 2, 0, 0, 3, 1, 0, 3, 3, 0, 4, 2, 0, 1, 3, 2, 2, 2, 3, 3, 0, 0, 0, 4, 2, 3, 1, 4, 0, 2, 3, 1, 3, 0, 4, 1, 2, 2, 0, 3, 1, 2, 2, 3, 0, 0, 0, 4, 2, 0, 4, 3, 2, 1, 3, 0, 4, 1, 3, 2, 3, 0, 3, 3, 4, 4, 2, 4, 0, 0, 0, 3, 3, 3, 0, 1, 0, 0, 1, 3, 1, 0, 3, 4, 2, 2, 1, 1, 0, 2, 2, 3, 3, 1, 2, 3, 1, 2, 3, 0, 2, 1, 3, 1, 0, 2, 1, 0, 2, 1, 0, 1, 4, 0, 2, 4, 1, 0, 0, 1, 4, 1, 1, 2, 3, 3, 1, 3, 2, 2, 0, 1, 4, 2, 4, 4, 4, 2, 3, 1, 4, 4, 4, 0, 3, 0, 4, 3, 2, 4, 1, 4, 1, 1, 3, 4, 4, 4, 1, 4, 3, 2, 3, 2, 1, 4, 1, 3, 3, 0, 3, 2, 2, 4, 2, 0, 4, 2, 4, 1, 0, 0, 2, 0, 4, 0, 4, 2, 0, 4, 4, 1, 4, 4, 0, 4, 0, 3, 0, 2, 0, 2, 2, 3, 3, 4, 3, 2, 1, 2, 4, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 3, 2, 3, 0, 2, 3, 0, 3, 1, 4, 2, 1, 2, 4, 4, 3, 4, 4, 3, 4, 4, 2, 3, 3, 2, 1, 1, 2, 1, 4, 4, 1, 3, 2, 2, 4, 0, 3, 3, 3, 0, 0, 0, 1, 3, 2, 1, 4, 2, 2, 0, 1]
pubkeycol587 = [3, 4, 0, 1, 4, 1, 2, 2, 0, 0, 1, 0, 2, 4, 4, 1, 2, 0, 4, 3, 2, 0, 2, 0, 1, 1, 0, 0, 1, 3, 2, 2, 0, 4, 1, 3, 1, 1, 3, 4, 3, 0, 2, 3, 3, 2, 1, 1, 4, 1, 0, 3, 1, 0, 0, 2, 1, 3, 1, 4, 3, 0, 0, 1, 4, 1, 2, 2, 3, 3, 3, 4, 1, 4, 4, 3, 0, 0, 3, 0, 0, 4, 4, 2, 1, 3, 0, 2, 3, 0, 0, 4, 4, 1, 1, 0, 2, 1, 3, 1, 3, 1, 3, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 3, 3, 4, 3, 4, 2, 1, 2, 4, 4, 3, 4, 3, 4, 3, 4, 0, 3, 2, 1, 2, 3, 2, 3, 1, 0, 4, 3, 2, 1, 3, 1, 1, 3, 0, 1, 0, 2, 4, 4, 0, 2, 0, 3, 3, 1, 0, 2, 4, 1, 3, 1, 1, 2, 4, 4, 2, 0, 2, 4, 0, 1, 4, 2, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 1, 0, 1, 2, 4, 3, 3, 3, 0, 4, 4, 1, 4, 4, 4, 0, 4, 4, 4, 4, 3, 2, 0, 0, 4, 2, 3, 4, 0, 0, 4, 1, 0, 0, 3, 0, 3, 3, 0, 2, 1, 1, 3, 1, 3, 2, 3, 0, 0, 3, 2, 4, 0, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 4, 3, 0, 3, 1, 3, 0, 4, 3, 3, 4, 2, 2, 0, 4, 1, 0, 4, 2, 2, 0, 0, 1, 3, 4, 4, 1, 2, 3, 2, 2, 0, 1, 3, 0, 1, 2, 3, 3, 3, 4, 1, 2, 0, 1, 1, 4, 2, 0, 4, 2, 3, 0, 0, 4, 1, 0, 1, 2, 1, 2, 1, 3, 0, 3, 0, 1, 1, 0, 3, 3, 4, 3, 1, 2, 1, 4, 1, 4, 3, 0, 1, 4, 4, 3, 2, 2, 1, 1, 3, 2, 1, 3, 3, 4, 1, 4, 2, 2, 3, 1, 4, 3, 0, 4, 0, 1, 3, 2, 2, 3, 1, 3, 2, 1, 2, 3, 4, 1, 3, 1, 1, 4, 1, 2, 1, 4, 3, 3, 1, 0, 4, 2, 3, 2, 2, 3, 3, 3, 3, 2, 0, 0, 2, 1, 4, 1, 0, 0]
pubkeycol588 = [1, 0, 4, 0, 3, 3, 3, 2, 0, 3, 4, 3, 2, 2, 4, 3, 2, 1, 2, 2, 2, 0, 0, 1, 4, 0, 2, 4, 0, 1, 4, 0, 2, 3, 1, 3, 2, 2, 1, 3, 4, 2, 0, 1, 4, 1, 1, 1, 3, 4, 3, 0, 3, 0, 4, 4, 0, 3, 2, 3, 4, 0, 1, 0, 0, 4, 4, 3, 4, 3, 3, 0, 2, 4, 0, 3, 3, 0, 0, 3, 4, 1, 0, 1, 3, 2, 2, 0, 4, 2, 1, 3, 4, 4, 0, 2, 4, 4, 3, 2, 0, 1, 4, 1, 1, 1, 4, 1, 3, 0, 3, 1, 3, 4, 2, 0, 4, 3, 1, 4, 2, 2, 3, 3, 2, 4, 1, 1, 2, 0, 1, 0, 1, 2, 0, 3, 4, 0, 3, 0, 4, 3, 3, 1, 3, 3, 0, 3, 2, 3, 0, 2, 4, 1, 1, 0, 0, 4, 3, 4, 3, 3, 2, 4, 3, 2, 1, 0, 3, 0, 1, 4, 1, 2, 4, 3, 2, 4, 1, 0, 2, 4, 1, 1, 4, 4, 2, 1, 2, 3, 3, 1, 4, 1, 4, 4, 4, 3, 4, 1, 4, 0, 4, 2, 0, 0, 3, 4, 0, 3, 3, 2, 0, 0, 4, 3, 0, 1, 0, 3, 4, 3, 3, 3, 2, 4, 1, 3, 0, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 4, 3, 3, 3, 0, 3, 1, 3, 4, 1, 1, 4, 4, 0, 2, 0, 1, 0, 4, 4, 4, 1, 0, 1, 3, 4, 0, 2, 1, 0, 2, 4, 1, 4, 0, 2, 2, 4, 4, 3, 4, 0, 0, 1, 1, 1, 1, 2, 3, 4, 1, 2, 2, 0, 0, 4, 3, 3, 4, 0, 1, 3, 4, 0, 1, 0, 4, 1, 4, 2, 0, 1, 2, 3, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 3, 2, 3, 3, 4, 1, 2, 2, 1, 3, 3, 2, 3, 0, 4, 0, 1, 2, 0, 3, 4, 0, 1, 4, 4, 3, 4, 2, 0, 2, 3, 2, 0, 1, 1, 4, 2, 2, 3, 2, 1, 0, 3, 0, 0, 3, 2, 0, 2, 3, 3, 0, 3, 2, 4, 2, 3, 0, 3, 3, 1, 0, 4, 3]
pubkeycol589 = [1, 3, 1, 2, 2, 3, 0, 2, 0, 0, 2, 2, 4, 2, 1, 3, 1, 3, 2, 3, 0, 2, 3, 1, 2, 2, 0, 4, 3, 4, 0, 0, 1, 4, 0, 3, 1, 4, 1, 1, 2, 0, 1, 4, 1, 2, 1, 1, 4, 2, 4, 2, 4, 1, 1, 3, 4, 3, 1, 2, 0, 2, 0, 0, 1, 4, 3, 1, 0, 0, 4, 1, 1, 3, 4, 1, 4, 0, 0, 3, 2, 1, 4, 2, 1, 1, 1, 4, 1, 3, 3, 0, 4, 2, 2, 0, 1, 3, 0, 4, 3, 1, 4, 3, 3, 3, 4, 1, 0, 0, 1, 4, 2, 1, 0, 4, 4, 0, 4, 1, 0, 0, 3, 4, 2, 2, 4, 0, 3, 1, 0, 2, 1, 1, 2, 4, 3, 0, 3, 2, 1, 1, 4, 3, 4, 1, 0, 0, 1, 3, 4, 4, 4, 2, 2, 3, 4, 0, 1, 2, 0, 2, 4, 1, 2, 4, 0, 0, 2, 0, 3, 2, 2, 3, 2, 4, 3, 3, 2, 3, 1, 4, 4, 1, 1, 0, 0, 2, 3, 3, 4, 4, 1, 1, 2, 3, 1, 4, 3, 1, 2, 2, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 4, 4, 1, 4, 3, 0, 3, 4, 1, 0, 3, 2, 3, 4, 4, 1, 0, 3, 0, 2, 0, 1, 4, 0, 2, 3, 1, 4, 1, 1, 1, 0, 2, 3, 3, 2, 3, 4, 1, 1, 2, 0, 1, 3, 2, 4, 4, 0, 4, 3, 2, 0, 4, 1, 4, 0, 3, 3, 1, 0, 3, 0, 4, 4, 1, 0, 3, 1, 4, 4, 3, 1, 4, 0, 4, 3, 1, 1, 2, 1, 0, 4, 1, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 1, 3, 1, 3, 0, 4, 0, 3, 4, 1, 4, 1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 3, 0, 1, 0, 4, 0, 4, 3, 4, 4, 4, 4, 0, 2, 2, 3, 0, 1, 2, 2, 4, 3, 1, 4, 1, 4, 4, 4, 0, 0, 1, 1, 0, 0, 3, 3, 2, 1, 0, 0, 0, 0, 4, 4, 0, 2, 1, 4, 3, 2, 0, 1, 2, 2, 4, 1, 3, 0, 1, 1, 3, 4, 1, 1, 4, 0, 4, 0, 0, 3, 4, 4, 2, 1]
pubkeycol590 = [0, 3, 3, 3, 2, 4, 0, 4, 2, 4, 1, 0, 1, 2, 4, 0, 4, 0, 3, 3, 3, 4, 0, 3, 0, 0, 2, 2, 0, 2, 3, 1, 3, 1, 0, 4, 3, 1, 1, 2, 0, 0, 4, 4, 2, 0, 1, 4, 0, 3, 2, 0, 2, 0, 2, 0, 1, 2, 0, 4, 2, 2, 4, 0, 4, 2, 2, 1, 2, 0, 2, 2, 3, 2, 3, 0, 4, 2, 0, 0, 4, 3, 1, 2, 2, 0, 1, 2, 4, 2, 4, 1, 3, 2, 2, 3, 1, 0, 3, 4, 0, 2, 4, 3, 4, 3, 0, 0, 1, 2, 1, 1, 1, 4, 0, 0, 1, 4, 3, 4, 3, 3, 1, 0, 4, 1, 4, 1, 1, 0, 4, 4, 2, 3, 2, 0, 0, 3, 0, 4, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 4, 2, 0, 1, 2, 4, 1, 1, 0, 2, 1, 0, 4, 3, 4, 1, 3, 1, 0, 3, 4, 4, 1, 4, 3, 2, 2, 2, 4, 3, 2, 1, 0, 0, 3, 4, 4, 3, 1, 3, 3, 2, 2, 4, 0, 4, 2, 0, 2, 4, 2, 2, 2, 4, 1, 0, 3, 3, 0, 0, 0, 1, 0, 4, 1, 2, 2, 1, 1, 4, 1, 0, 1, 3, 2, 4, 0, 3, 3, 1, 2, 0, 2, 1, 4, 0, 4, 1, 0, 4, 0, 4, 1, 3, 0, 0, 3, 3, 3, 4, 3, 4, 3, 2, 2, 0, 4, 0, 4, 4, 0, 2, 3, 4, 0, 4, 4, 3, 3, 0, 3, 4, 1, 1, 0, 3, 1, 2, 2, 1, 4, 2, 2, 3, 2, 3, 0, 1, 0, 2, 1, 3, 0, 4, 0, 3, 1, 0, 4, 3, 4, 2, 1, 3, 1, 4, 1, 4, 2, 0, 3, 4, 2, 3, 0, 3, 1, 1, 1, 4, 2, 4, 1, 0, 3, 4, 1, 4, 0, 0, 1, 3, 2, 3, 1, 2, 1, 4, 2, 4, 2, 0, 4, 2, 0, 4, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 3, 0, 3, 4, 4, 4, 1, 4, 1, 4, 1, 1, 0, 1, 4, 3, 4, 2, 3, 1, 1, 4, 4, 4, 3, 0, 1, 4, 4, 4, 1, 4, 3, 1, 3, 2, 0, 1, 2, 1, 0, 3]
pubkeycol591 = [1, 3, 4, 2, 2, 3, 3, 0, 0, 1, 2, 3, 0, 2, 0, 2, 0, 1, 3, 2, 1, 1, 2, 2, 1, 0, 2, 2, 3, 2, 1, 2, 1, 4, 0, 0, 3, 4, 1, 4, 0, 0, 4, 3, 1, 4, 0, 2, 2, 1, 4, 0, 3, 3, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 3, 0, 1, 1, 3, 4, 0, 4, 4, 4, 4, 4, 0, 4, 3, 2, 0, 1, 4, 4, 2, 2, 2, 1, 0, 2, 4, 1, 1, 2, 0, 3, 0, 0, 2, 4, 3, 2, 0, 3, 0, 1, 0, 2, 4, 2, 0, 4, 1, 0, 4, 4, 0, 4, 4, 4, 0, 2, 2, 0, 1, 1, 0, 3, 3, 3, 0, 4, 0, 2, 2, 4, 4, 0, 4, 0, 0, 4, 3, 1, 1, 0, 1, 2, 0, 1, 3, 3, 1, 4, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 4, 4, 4, 2, 4, 4, 1, 4, 0, 0, 2, 4, 4, 0, 3, 4, 2, 4, 3, 0, 2, 3, 0, 4, 0, 4, 3, 1, 2, 0, 2, 1, 3, 0, 2, 3, 4, 1, 2, 4, 2, 0, 3, 3, 3, 3, 1, 1, 2, 1, 1, 4, 2, 4, 4, 3, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 3, 4, 4, 1, 2, 3, 3, 2, 3, 3, 1, 1, 0, 3, 0, 1, 4, 4, 2, 0, 0, 2, 0, 3, 2, 0, 1, 3, 3, 1, 3, 1, 4, 2, 2, 4, 1, 1, 3, 4, 0, 4, 0, 3, 2, 2, 3, 3, 2, 1, 1, 0, 4, 0, 1, 3, 3, 1, 0, 4, 3, 3, 0, 2, 0, 0, 3, 2, 1, 4, 3, 0, 3, 3, 4, 2, 2, 3, 1, 2, 3, 3, 0, 3, 4, 4, 2, 0, 3, 0, 2, 0, 3, 1, 4, 4, 1, 3, 3, 4, 2, 0, 4, 3, 2, 2, 0, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 1, 2, 3, 3, 1, 4, 2, 1, 1, 1, 2, 2, 2, 3, 4, 2, 1, 0, 1, 2, 2, 4, 1, 0, 1, 4, 4, 4, 0, 2, 4, 3, 2, 2, 1, 0, 4, 3, 0, 4, 0, 3, 2, 1, 2, 1, 4, 4, 4]
pubkeycol592 = [3, 3, 4, 3, 0, 1, 2, 4, 3, 3, 0, 0, 3, 3, 2, 3, 3, 0, 0, 1, 3, 1, 2, 4, 3, 3, 0, 3, 2, 4, 3, 2, 4, 3, 0, 0, 0, 3, 1, 3, 4, 0, 3, 4, 0, 0, 1, 4, 0, 4, 4, 3, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 1, 0, 4, 1, 0, 4, 3, 4, 0, 4, 2, 1, 2, 2, 2, 4, 4, 1, 2, 2, 1, 2, 0, 1, 0, 2, 4, 4, 1, 3, 0, 0, 0, 1, 1, 3, 1, 1, 4, 2, 2, 0, 3, 0, 0, 0, 3, 3, 1, 4, 2, 3, 3, 2, 4, 4, 2, 4, 3, 1, 2, 3, 4, 4, 3, 2, 4, 2, 0, 2, 1, 2, 2, 3, 4, 4, 1, 1, 0, 3, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 4, 4, 1, 2, 2, 2, 4, 1, 1, 2, 2, 4, 1, 0, 3, 4, 1, 1, 3, 3, 4, 2, 4, 0, 3, 1, 2, 3, 0, 4, 1, 2, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 3, 1, 4, 1, 4, 4, 2, 4, 1, 0, 0, 2, 1, 0, 3, 3, 1, 3, 2, 2, 2, 0, 1, 4, 2, 1, 3, 2, 0, 4, 3, 2, 2, 2, 0, 2, 2, 1, 4, 0, 0, 1, 4, 0, 1, 0, 2, 4, 4, 1, 2, 4, 4, 2, 0, 1, 1, 4, 0, 0, 1, 0, 0, 2, 4, 2, 4, 1, 3, 1, 4, 0, 3, 1, 1, 4, 2, 2, 0, 2, 0, 3, 2, 4, 0, 2, 1, 4, 4, 4, 3, 2, 3, 1, 2, 4, 0, 3, 0, 4, 2, 0, 2, 2, 1, 3, 1, 0, 0, 4, 4, 2, 3, 4, 0, 4, 1, 1, 3, 0, 0, 0, 0, 4, 3, 1, 4, 0, 2, 0, 2, 3, 0, 2, 2, 1, 2, 4, 2, 1, 4, 3, 3, 1, 2, 1, 1, 0, 1, 3, 1, 3, 1, 4, 2, 0, 3, 1, 0, 4, 2, 1, 3, 3, 4, 2, 2, 0, 0, 3, 0, 1, 4, 3, 3, 1, 0, 4, 0, 0, 4, 4, 4, 3, 4, 1, 0, 0, 2, 1, 0, 1, 3, 1, 3, 2, 3]
pubkeycol593 = [4, 0, 1, 2, 3, 1, 3, 0, 4, 0, 2, 0, 4, 1, 1, 2, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 0, 0, 3, 2, 1, 0, 3, 4, 2, 3, 0, 2, 4, 2, 0, 4, 4, 3, 1, 3, 0, 4, 3, 2, 3, 3, 4, 2, 0, 3, 4, 3, 2, 2, 0, 2, 1, 1, 3, 3, 3, 3, 1, 4, 3, 2, 4, 0, 1, 4, 0, 4, 3, 2, 0, 2, 1, 3, 1, 4, 4, 1, 2, 4, 3, 1, 1, 0, 1, 2, 1, 2, 2, 4, 3, 2, 3, 3, 0, 1, 4, 2, 2, 3, 1, 0, 4, 1, 4, 0, 4, 2, 3, 2, 0, 1, 3, 2, 1, 4, 1, 0, 2, 4, 1, 3, 3, 3, 1, 1, 4, 2, 1, 3, 3, 2, 3, 3, 4, 2, 2, 0, 3, 3, 0, 3, 1, 3, 1, 3, 3, 3, 2, 3, 4, 2, 4, 0, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 1, 3, 4, 0, 0, 0, 3, 3, 4, 2, 3, 4, 3, 3, 4, 3, 4, 3, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 4, 0, 4, 2, 1, 1, 4, 1, 1, 0, 4, 0, 2, 4, 1, 0, 4, 2, 2, 4, 1, 1, 0, 3, 3, 2, 3, 2, 4, 2, 1, 3, 4, 0, 4, 3, 0, 1, 2, 4, 3, 0, 1, 4, 2, 4, 2, 4, 0, 2, 1, 2, 3, 1, 0, 2, 3, 0, 2, 3, 3, 3, 1, 4, 1, 1, 1, 4, 0, 2, 4, 1, 1, 0, 0, 2, 4, 4, 3, 1, 1, 0, 4, 0, 4, 1, 1, 3, 2, 0, 3, 1, 1, 1, 0, 3, 4, 4, 2, 2, 0, 1, 3, 2, 4, 3, 0, 4, 1, 4, 3, 1, 0, 0, 1, 2, 4, 4, 1, 3, 3, 3, 1, 3, 1, 4, 2, 4, 2, 2, 0, 0, 1, 3, 1, 3, 1, 0, 4, 2, 0, 4, 4, 0, 1, 1, 3, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 4, 0, 1, 2, 4, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 3, 4, 1, 4, 4, 1, 3, 1, 2, 0, 1, 1, 0, 4, 2, 4, 3, 0, 3, 2, 4]
pubkeycol594 = [3, 4, 3, 3, 2, 1, 2, 3, 1, 3, 3, 4, 2, 2, 1, 1, 4, 0, 1, 4, 2, 3, 3, 1, 4, 2, 4, 2, 4, 3, 4, 3, 2, 3, 0, 3, 4, 1, 3, 4, 4, 3, 2, 0, 3, 2, 0, 4, 3, 4, 1, 2, 0, 4, 4, 3, 1, 2, 1, 0, 3, 0, 3, 3, 1, 0, 2, 3, 1, 3, 1, 1, 2, 4, 4, 4, 2, 0, 2, 2, 4, 1, 3, 2, 3, 0, 3, 0, 0, 4, 0, 1, 1, 3, 4, 4, 4, 4, 2, 2, 0, 1, 2, 3, 3, 4, 2, 2, 1, 2, 1, 3, 4, 3, 4, 4, 2, 1, 0, 4, 0, 2, 4, 1, 1, 2, 2, 4, 0, 4, 3, 2, 3, 1, 1, 0, 2, 3, 3, 3, 3, 1, 4, 1, 2, 2, 4, 1, 1, 1, 0, 2, 0, 4, 1, 3, 2, 4, 0, 3, 4, 0, 2, 3, 4, 3, 1, 4, 4, 1, 4, 4, 4, 4, 0, 3, 2, 2, 3, 4, 3, 1, 1, 3, 1, 0, 1, 4, 0, 3, 4, 4, 3, 3, 0, 1, 1, 4, 1, 2, 1, 1, 3, 3, 0, 3, 1, 2, 3, 0, 4, 0, 1, 4, 0, 4, 1, 2, 3, 1, 2, 2, 0, 2, 1, 4, 1, 4, 3, 1, 3, 2, 0, 0, 4, 1, 3, 1, 4, 3, 0, 4, 3, 3, 2, 0, 3, 1, 1, 0, 1, 0, 4, 3, 0, 1, 3, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 3, 4, 1, 3, 1, 4, 1, 1, 3, 4, 0, 1, 1, 0, 3, 0, 1, 0, 4, 4, 4, 1, 3, 0, 0, 2, 2, 2, 4, 1, 1, 1, 0, 1, 4, 0, 3, 0, 4, 1, 0, 2, 4, 0, 0, 1, 2, 0, 1, 4, 4, 2, 2, 3, 4, 3, 4, 0, 0, 2, 4, 0, 3, 2, 3, 4, 2, 1, 1, 4, 0, 4, 2, 0, 2, 4, 1, 0, 1, 1, 0, 1, 4, 0, 1, 0, 2, 1, 4, 2, 0, 3, 1, 2, 4, 3, 2, 0, 4, 1, 0, 3, 1, 1, 1, 1, 1, 3, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 0, 0, 4, 1, 1, 3, 1, 1, 0, 2, 0]
pubkeycol595 = [4, 2, 3, 2, 3, 0, 0, 0, 3, 2, 1, 0, 1, 3, 3, 4, 0, 4, 2, 1, 2, 1, 2, 4, 2, 4, 1, 3, 3, 0, 1, 4, 2, 2, 2, 1, 1, 3, 0, 4, 2, 4, 2, 2, 2, 3, 1, 1, 0, 4, 1, 4, 3, 3, 3, 1, 4, 3, 1, 0, 4, 3, 0, 2, 2, 0, 2, 0, 0, 1, 1, 3, 1, 2, 2, 3, 3, 0, 4, 3, 2, 0, 4, 0, 2, 4, 2, 4, 1, 2, 0, 3, 1, 3, 1, 1, 0, 2, 4, 2, 0, 4, 0, 3, 3, 0, 2, 4, 0, 3, 2, 0, 4, 2, 0, 4, 4, 2, 3, 1, 0, 0, 2, 0, 1, 4, 2, 0, 2, 1, 3, 2, 3, 2, 0, 4, 1, 2, 0, 1, 3, 2, 2, 3, 0, 3, 4, 0, 0, 1, 3, 0, 4, 1, 0, 2, 2, 0, 3, 2, 2, 1, 0, 1, 4, 3, 1, 3, 0, 2, 0, 2, 3, 3, 3, 2, 2, 3, 4, 2, 0, 4, 2, 0, 2, 2, 4, 4, 2, 3, 0, 3, 3, 2, 3, 1, 4, 0, 1, 4, 1, 2, 3, 3, 1, 4, 4, 0, 2, 4, 1, 3, 2, 3, 4, 1, 0, 3, 4, 4, 3, 4, 0, 2, 0, 2, 4, 4, 1, 1, 1, 3, 2, 0, 2, 2, 1, 2, 2, 2, 0, 4, 4, 2, 3, 2, 4, 0, 3, 3, 3, 3, 4, 0, 1, 4, 1, 0, 1, 0, 0, 4, 1, 2, 1, 4, 1, 3, 4, 3, 0, 3, 3, 0, 4, 2, 3, 2, 3, 0, 1, 2, 0, 0, 2, 4, 4, 0, 0, 1, 3, 0, 1, 0, 2, 4, 1, 1, 1, 1, 1, 2, 3, 1, 0, 4, 3, 3, 2, 0, 0, 1, 3, 4, 4, 4, 0, 3, 2, 0, 0, 4, 1, 0, 4, 2, 3, 2, 2, 3, 0, 4, 1, 0, 4, 4, 1, 4, 1, 4, 3, 3, 0, 4, 0, 2, 4, 4, 4, 2, 0, 4, 4, 3, 3, 4, 2, 4, 3, 3, 1, 0, 1, 3, 2, 0, 4, 0, 1, 3, 2, 2, 0, 3, 1, 3, 0, 3, 2, 3, 1, 2, 1, 3, 1, 2, 3, 1, 1, 3, 2, 3, 4, 3, 0, 1, 3, 3, 4, 3]
pubkeycol596 = [1, 0, 1, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 4, 3, 1, 2, 0, 4, 1, 0, 1, 0, 1, 4, 3, 0, 3, 0, 4, 0, 0, 2, 0, 2, 3, 4, 4, 3, 1, 4, 4, 1, 2, 4, 0, 4, 2, 2, 3, 3, 0, 0, 1, 0, 3, 2, 4, 4, 1, 2, 2, 2, 1, 3, 3, 1, 4, 1, 2, 1, 3, 0, 4, 1, 4, 4, 0, 2, 2, 3, 2, 1, 4, 1, 3, 1, 3, 0, 0, 4, 3, 1, 0, 2, 2, 0, 2, 1, 4, 3, 0, 4, 2, 4, 0, 2, 1, 2, 3, 0, 0, 0, 3, 2, 0, 4, 1, 0, 2, 1, 4, 1, 0, 1, 0, 0, 2, 3, 0, 2, 1, 2, 0, 0, 3, 3, 3, 1, 2, 1, 4, 2, 2, 1, 3, 4, 4, 1, 4, 0, 4, 0, 1, 2, 3, 2, 2, 0, 4, 0, 1, 4, 2, 2, 4, 1, 4, 1, 0, 1, 3, 4, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 2, 0, 0, 3, 1, 4, 4, 0, 4, 4, 0, 0, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 0, 4, 2, 1, 3, 4, 1, 4, 1, 3, 4, 2, 1, 0, 1, 1, 0, 3, 0, 4, 0, 0, 1, 0, 3, 4, 4, 2, 4, 1, 1, 1, 3, 1, 2, 1, 1, 3, 0, 0, 2, 3, 1, 1, 2, 0, 4, 0, 1, 4, 2, 2, 2, 0, 3, 2, 2, 2, 0, 0, 3, 3, 4, 3, 4, 4, 4, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 2, 4, 1, 2, 3, 3, 3, 2, 2, 1, 4, 3, 0, 2, 1, 2, 2, 2, 1, 1, 3, 4, 0, 2, 2, 3, 1, 4, 3, 1, 1, 2, 3, 3, 4, 3, 1, 2, 3, 2, 0, 2, 4, 0, 2, 2, 1, 4, 3, 4, 0, 0, 0, 1, 4, 3, 2, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 4, 1, 0, 2, 3, 0, 2, 4, 1, 1, 2, 4, 0, 2, 1, 3, 0, 3, 2, 0, 0, 2, 2, 3, 2, 1, 0, 1, 3, 2, 0, 1, 2, 3, 3, 0, 0, 4, 1, 4, 3, 1, 2, 2, 1, 0, 3, 4]
pubkeycol597 = [1, 3, 0, 4, 1, 2, 3, 0, 1, 3, 1, 4, 3, 1, 4, 3, 1, 3, 2, 4, 1, 1, 3, 1, 0, 0, 1, 2, 0, 4, 3, 4, 1, 3, 3, 4, 2, 2, 4, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 3, 2, 3, 2, 2, 4, 3, 4, 4, 2, 0, 2, 2, 2, 1, 2, 3, 3, 2, 1, 0, 2, 0, 0, 1, 1, 3, 4, 1, 2, 1, 3, 3, 1, 2, 0, 3, 4, 1, 2, 0, 2, 0, 4, 2, 0, 1, 2, 4, 2, 2, 4, 0, 1, 1, 1, 4, 3, 1, 4, 2, 4, 2, 2, 3, 3, 4, 1, 1, 2, 3, 1, 2, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 1, 3, 4, 1, 2, 1, 4, 2, 3, 0, 1, 4, 2, 1, 3, 0, 1, 0, 3, 3, 3, 2, 0, 3, 4, 3, 4, 0, 4, 4, 0, 4, 0, 4, 0, 3, 2, 3, 1, 4, 1, 0, 2, 2, 2, 1, 3, 1, 1, 0, 1, 3, 2, 0, 0, 0, 0, 3, 1, 2, 0, 4, 0, 2, 0, 1, 2, 2, 3, 4, 2, 4, 4, 0, 0, 4, 2, 1, 0, 0, 3, 3, 2, 3, 1, 1, 1, 2, 2, 1, 1, 2, 1, 4, 4, 2, 0, 2, 3, 3, 4, 3, 2, 0, 3, 4, 3, 3, 2, 3, 3, 3, 4, 4, 2, 1, 4, 2, 3, 0, 0, 4, 1, 2, 0, 4, 2, 3, 1, 3, 3, 4, 1, 0, 0, 0, 1, 0, 3, 2, 4, 3, 3, 2, 2, 2, 3, 1, 4, 4, 2, 3, 3, 0, 4, 3, 4, 2, 3, 1, 3, 1, 2, 0, 3, 3, 3, 3, 3, 1, 0, 4, 3, 3, 3, 1, 1, 0, 0, 3, 4, 4, 3, 0, 1, 4, 1, 3, 2, 4, 3, 3, 3, 1, 2, 1, 4, 3, 1, 4, 1, 0, 1, 3, 1, 1, 0, 2, 3, 2, 3, 0, 1, 0, 2, 2, 3, 2, 2, 1, 2, 3, 1, 3, 3, 0, 2, 3, 4, 3, 4, 4, 4, 2, 0, 3, 1, 4, 4, 2, 1, 0, 3, 1, 2, 1, 1, 3, 1, 1, 4, 4, 0, 4, 4, 4, 4, 1, 0, 0, 2, 4, 0, 2, 1]
pubkeycol598 = [3, 3, 4, 0, 0, 1, 2, 4, 3, 0, 1, 0, 2, 3, 1, 2, 2, 0, 4, 0, 0, 4, 2, 4, 2, 4, 3, 2, 3, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 0, 2, 2, 1, 0, 3, 4, 4, 4, 2, 2, 4, 3, 3, 1, 2, 2, 3, 1, 4, 1, 0, 2, 4, 0, 4, 4, 3, 0, 0, 4, 1, 3, 1, 0, 2, 2, 3, 2, 1, 1, 0, 3, 4, 0, 4, 0, 3, 2, 2, 1, 2, 2, 1, 4, 4, 2, 1, 4, 3, 3, 4, 0, 1, 4, 1, 3, 4, 4, 4, 4, 2, 0, 3, 4, 3, 2, 1, 3, 1, 2, 1, 3, 1, 2, 2, 1, 3, 2, 1, 3, 4, 2, 1, 3, 4, 0, 0, 3, 3, 3, 3, 4, 1, 2, 3, 0, 1, 4, 1, 1, 4, 4, 3, 1, 1, 4, 4, 0, 4, 2, 3, 4, 3, 1, 1, 3, 2, 4, 1, 3, 3, 1, 0, 4, 1, 3, 0, 4, 0, 3, 4, 0, 4, 3, 0, 0, 0, 1, 0, 1, 1, 0, 1, 4, 0, 3, 0, 2, 4, 1, 0, 3, 2, 2, 0, 1, 1, 3, 4, 0, 1, 3, 4, 1, 2, 2, 1, 1, 4, 4, 3, 1, 1, 3, 4, 1, 0, 1, 1, 4, 4, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 3, 3, 0, 0, 4, 1, 0, 4, 3, 3, 0, 0, 3, 4, 4, 2, 3, 0, 1, 0, 2, 4, 0, 3, 3, 2, 0, 0, 2, 0, 0, 0, 2, 4, 2, 3, 1, 1, 0, 4, 3, 4, 4, 1, 3, 4, 2, 1, 4, 3, 2, 1, 0, 3, 4, 0, 1, 3, 1, 0, 3, 1, 1, 2, 1, 2, 4, 2, 0, 2, 2, 0, 1, 2, 1, 1, 4, 1, 4, 0, 0, 4, 3, 2, 1, 3, 0, 3, 4, 1, 4, 3, 3, 4, 2, 1, 3, 2, 2, 3, 0, 4, 2, 4, 3, 3, 4, 4, 1, 0, 1, 2, 1, 3, 2, 2, 3, 0, 0, 1, 1, 4, 4, 0, 1, 0, 1, 2, 1, 2, 4, 3, 1, 1, 3, 3, 0, 0, 4, 1, 1, 0, 1, 1, 0, 1, 3, 4, 4, 2, 1, 4, 3, 3, 3, 4, 2, 4, 4]
pubkeycol599 = [1, 2, 1, 1, 4, 3, 1, 3, 3, 3, 1, 3, 0, 0, 2, 1, 0, 1, 3, 4, 0, 1, 3, 2, 2, 4, 0, 4, 4, 3, 0, 1, 0, 4, 0, 1, 4, 2, 3, 3, 2, 1, 4, 0, 3, 0, 3, 1, 0, 4, 3, 2, 2, 1, 4, 4, 1, 4, 2, 3, 3, 2, 1, 4, 2, 0, 0, 4, 1, 1, 4, 1, 0, 3, 3, 0, 1, 0, 0, 2, 2, 1, 4, 0, 0, 1, 0, 3, 0, 2, 3, 3, 2, 3, 0, 0, 4, 2, 0, 3, 3, 0, 1, 3, 3, 2, 4, 0, 2, 4, 2, 2, 3, 0, 3, 3, 3, 2, 3, 4, 0, 1, 0, 0, 3, 2, 4, 4, 3, 2, 2, 4, 4, 0, 0, 4, 4, 0, 3, 2, 0, 4, 3, 2, 4, 0, 3, 0, 4, 4, 4, 0, 0, 0, 4, 3, 1, 3, 1, 1, 0, 4, 1, 0, 0, 1, 0, 3, 3, 2, 1, 1, 2, 4, 0, 3, 3, 3, 2, 0, 0, 1, 4, 2, 0, 0, 1, 2, 2, 3, 4, 1, 0, 0, 1, 0, 1, 3, 1, 0, 2, 4, 1, 1, 4, 4, 1, 2, 4, 4, 3, 2, 3, 2, 2, 1, 0, 3, 4, 4, 3, 0, 0, 2, 1, 4, 4, 4, 4, 0, 3, 2, 1, 1, 4, 1, 1, 3, 2, 0, 2, 1, 1, 1, 4, 2, 4, 1, 3, 4, 0, 3, 2, 4, 2, 4, 1, 2, 3, 3, 4, 2, 2, 3, 2, 0, 2, 0, 4, 1, 3, 0, 2, 0, 2, 2, 1, 3, 1, 0, 3, 1, 0, 4, 3, 2, 3, 3, 4, 3, 0, 4, 4, 3, 1, 4, 2, 2, 3, 0, 3, 1, 4, 4, 4, 0, 3, 3, 3, 4, 0, 3, 0, 4, 0, 2, 1, 3, 3, 4, 0, 3, 3, 3, 4, 2, 3, 0, 1, 1, 2, 3, 0, 3, 0, 4, 2, 0, 2, 2, 1, 3, 3, 4, 1, 4, 3, 3, 4, 4, 2, 1, 3, 2, 0, 0, 1, 0, 1, 4, 4, 4, 2, 0, 1, 1, 2, 4, 1, 2, 1, 1, 2, 2, 4, 0, 0, 2, 1, 4, 1, 0, 2, 4, 2, 4, 1, 2, 1, 3, 4, 2, 2, 2, 4, 1, 3, 4, 1, 4]
pubkeycol600 = [4, 1, 4, 4, 4, 0, 4, 1, 2, 4, 4, 1, 4, 4, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 4, 3, 0, 1, 2, 2, 2, 3, 4, 4, 0, 3, 4, 4, 2, 4, 1, 0, 1, 1, 1, 2, 2, 2, 4, 3, 3, 4, 0, 0, 0, 4, 1, 1, 4, 4, 0, 3, 2, 3, 4, 0, 0, 3, 0, 4, 2, 3, 1, 2, 4, 4, 0, 4, 3, 1, 1, 2, 1, 4, 1, 2, 2, 1, 4, 3, 1, 3, 0, 4, 0, 4, 3, 3, 4, 0, 0, 1, 0, 1, 4, 1, 3, 3, 4, 2, 0, 1, 3, 1, 1, 4, 1, 4, 1, 0, 1, 1, 2, 4, 2, 3, 2, 4, 0, 1, 0, 4, 0, 3, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 4, 4, 1, 4, 4, 2, 3, 4, 0, 4, 3, 4, 1, 1, 0, 3, 0, 4, 3, 3, 2, 1, 2, 1, 3, 0, 2, 0, 1, 2, 2, 3, 2, 3, 0, 0, 0, 2, 1, 1, 2, 1, 3, 4, 1, 2, 2, 4, 0, 3, 1, 0, 0, 1, 3, 4, 0, 2, 4, 1, 3, 4, 2, 0, 1, 2, 4, 3, 3, 0, 4, 3, 0, 4, 3, 1, 1, 0, 0, 4, 0, 2, 0, 0, 0, 2, 3, 3, 2, 4, 4, 2, 3, 4, 4, 1, 1, 3, 0, 4, 0, 1, 4, 2, 0, 0, 0, 0, 4, 1, 2, 4, 2, 3, 1, 0, 4, 4, 1, 3, 0, 0, 2, 1, 2, 2, 3, 1, 4, 4, 3, 2, 0, 1, 1, 3, 0, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 0, 0, 3, 0, 0, 0, 3, 2, 2, 0, 0, 4, 4, 3, 0, 2, 0, 4, 1, 4, 0, 3, 3, 3, 2, 3, 4, 1, 2, 2, 1, 1, 1, 2, 0, 4, 4, 4, 0, 0, 2, 3, 3, 0, 2, 1, 4, 0, 0, 1, 0, 0, 2, 4, 0, 0, 1, 2, 2, 2, 2, 4, 3, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 4, 0, 1, 2, 2, 2, 0, 4, 1, 3, 0, 1, 2, 2, 0, 1, 3, 1, 3, 1, 2, 2, 4, 0, 3, 3, 4, 3, 1, 0, 4, 3]
pubkeycol601 = [4, 1, 1, 3, 2, 4, 3, 2, 3, 3, 3, 1, 2, 4, 1, 3, 1, 0, 2, 1, 1, 4, 1, 0, 4, 0, 1, 4, 1, 3, 3, 3, 2, 4, 3, 2, 2, 3, 4, 1, 1, 1, 3, 4, 4, 2, 1, 0, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 4, 1, 2, 4, 2, 1, 4, 0, 1, 0, 4, 1, 3, 0, 2, 1, 4, 2, 4, 1, 2, 1, 4, 3, 4, 0, 0, 3, 1, 2, 3, 2, 1, 2, 0, 1, 2, 1, 4, 2, 0, 2, 1, 2, 4, 3, 0, 0, 3, 3, 0, 3, 0, 2, 0, 3, 1, 3, 1, 3, 3, 1, 0, 4, 1, 3, 1, 0, 2, 2, 0, 1, 3, 3, 4, 3, 0, 0, 0, 4, 0, 1, 0, 1, 1, 0, 2, 2, 4, 1, 0, 0, 3, 1, 2, 2, 0, 4, 2, 2, 0, 2, 0, 4, 0, 3, 4, 3, 3, 1, 4, 1, 1, 0, 2, 0, 3, 0, 4, 3, 3, 3, 3, 0, 3, 1, 4, 1, 3, 2, 2, 2, 4, 1, 3, 2, 2, 4, 2, 4, 0, 4, 3, 4, 4, 1, 2, 2, 4, 1, 4, 4, 2, 1, 3, 2, 3, 1, 3, 0, 3, 4, 4, 0, 1, 3, 0, 1, 2, 2, 2, 2, 1, 0, 0, 3, 2, 4, 4, 4, 1, 2, 2, 3, 1, 0, 4, 3, 0, 2, 2, 1, 1, 4, 1, 0, 0, 4, 4, 1, 1, 4, 1, 4, 4, 2, 1, 0, 1, 4, 2, 3, 4, 3, 3, 1, 3, 0, 0, 3, 4, 3, 2, 0, 2, 3, 0, 3, 3, 4, 0, 3, 1, 2, 3, 4, 3, 2, 1, 4, 4, 2, 4, 2, 2, 4, 4, 3, 2, 1, 1, 2, 1, 0, 3, 1, 4, 4, 2, 1, 2, 3, 2, 2, 4, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 4, 1, 4, 1, 1, 2, 0, 0, 3, 1, 0, 4, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 3, 3, 2, 2, 1, 4, 3, 3, 3, 4, 0, 1, 4, 3, 4, 4, 4, 0, 2, 4, 3, 4, 1, 1, 2, 4, 3, 3, 3, 2, 2, 0, 4, 1, 3, 1, 3, 1, 3, 1, 1, 0, 3]
pubkeycol602 = [3, 0, 2, 4, 0, 3, 4, 4, 2, 2, 3, 4, 0, 3, 2, 4, 3, 0, 3, 3, 1, 3, 3, 4, 1, 1, 0, 0, 0, 2, 1, 4, 1, 3, 4, 3, 4, 3, 4, 3, 0, 3, 4, 3, 2, 0, 1, 1, 4, 3, 2, 4, 1, 0, 3, 1, 0, 3, 0, 4, 0, 3, 1, 2, 1, 1, 2, 3, 4, 2, 3, 0, 4, 3, 1, 3, 2, 3, 3, 4, 3, 0, 1, 4, 0, 1, 3, 0, 3, 2, 4, 1, 0, 1, 4, 3, 2, 3, 1, 1, 4, 1, 4, 1, 3, 0, 0, 3, 1, 4, 0, 4, 2, 4, 4, 1, 0, 4, 3, 4, 3, 1, 1, 1, 3, 2, 3, 0, 2, 3, 1, 2, 3, 2, 2, 2, 4, 2, 0, 0, 4, 3, 3, 1, 4, 3, 0, 1, 3, 3, 1, 0, 4, 1, 3, 4, 0, 1, 1, 3, 2, 3, 2, 4, 3, 4, 0, 3, 3, 0, 4, 3, 0, 1, 3, 4, 4, 4, 2, 1, 0, 3, 4, 3, 0, 2, 1, 4, 3, 1, 3, 4, 3, 1, 1, 2, 0, 2, 0, 2, 0, 3, 4, 0, 1, 1, 4, 1, 4, 2, 4, 2, 0, 2, 4, 0, 2, 3, 4, 3, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 3, 2, 2, 1, 3, 0, 2, 0, 2, 4, 2, 1, 3, 1, 2, 2, 0, 2, 1, 4, 4, 2, 4, 0, 0, 2, 4, 3, 3, 0, 4, 3, 4, 3, 3, 3, 1, 4, 0, 2, 1, 1, 4, 2, 2, 1, 3, 4, 4, 0, 1, 2, 3, 3, 1, 3, 1, 1, 0, 2, 4, 3, 1, 2, 2, 2, 0, 4, 4, 2, 2, 3, 2, 0, 2, 1, 3, 1, 0, 0, 1, 2, 1, 0, 3, 3, 4, 4, 1, 1, 1, 3, 4, 0, 1, 2, 1, 0, 1, 2, 4, 3, 1, 3, 3, 3, 4, 4, 1, 0, 1, 0, 0, 3, 1, 3, 3, 0, 3, 4, 0, 4, 1, 3, 3, 1, 4, 2, 0, 4, 2, 1, 1, 3, 0, 4, 1, 0, 0, 3, 1, 2, 2, 3, 2, 0, 0, 1, 1, 3, 4, 2, 0, 4, 2, 4, 3, 1, 3, 4, 2, 1, 0, 1, 3, 0, 4, 0, 3]
pubkeycol603 = [2, 1, 0, 0, 3, 2, 4, 2, 0, 1, 2, 2, 3, 2, 4, 2, 1, 3, 0, 4, 0, 1, 1, 1, 3, 2, 0, 0, 0, 2, 2, 3, 0, 0, 2, 1, 4, 3, 0, 3, 0, 0, 2, 3, 4, 3, 2, 1, 2, 3, 4, 4, 4, 4, 0, 0, 0, 1, 2, 3, 3, 0, 2, 0, 0, 4, 3, 0, 4, 2, 2, 1, 4, 1, 3, 3, 4, 3, 3, 0, 0, 2, 1, 1, 3, 0, 1, 4, 2, 2, 4, 4, 0, 0, 4, 1, 1, 0, 2, 1, 3, 2, 2, 1, 3, 3, 0, 3, 4, 2, 3, 3, 1, 2, 4, 3, 1, 0, 2, 0, 4, 2, 2, 2, 3, 4, 4, 0, 1, 1, 3, 1, 2, 2, 4, 3, 0, 0, 1, 2, 2, 2, 4, 4, 0, 1, 1, 0, 4, 0, 4, 4, 0, 1, 4, 1, 0, 2, 4, 4, 0, 0, 2, 4, 2, 0, 2, 0, 3, 0, 0, 4, 0, 0, 1, 1, 0, 4, 4, 0, 1, 0, 0, 1, 3, 4, 3, 0, 3, 4, 1, 4, 2, 1, 0, 3, 3, 2, 3, 3, 4, 3, 4, 4, 1, 4, 2, 0, 1, 1, 4, 3, 0, 0, 4, 2, 0, 3, 1, 0, 1, 1, 1, 2, 1, 2, 1, 4, 1, 4, 4, 0, 2, 3, 4, 2, 0, 2, 2, 4, 1, 0, 2, 4, 1, 1, 4, 3, 1, 2, 2, 0, 3, 1, 1, 1, 4, 0, 2, 3, 1, 3, 3, 1, 0, 4, 1, 0, 0, 1, 4, 3, 0, 1, 3, 2, 0, 3, 0, 2, 4, 0, 2, 0, 4, 2, 1, 0, 4, 1, 0, 2, 1, 2, 0, 0, 4, 3, 4, 1, 3, 0, 3, 4, 2, 3, 4, 1, 1, 1, 2, 0, 0, 3, 0, 3, 4, 2, 0, 0, 0, 3, 3, 2, 2, 4, 3, 1, 4, 4, 0, 1, 4, 0, 1, 0, 0, 2, 0, 1, 0, 1, 4, 1, 2, 0, 2, 4, 4, 1, 3, 2, 2, 1, 0, 4, 0, 2, 0, 2, 2, 2, 0, 3, 4, 1, 4, 0, 1, 0, 3, 4, 0, 0, 0, 1, 0, 4, 2, 4, 3, 3, 0, 0, 4, 0, 0, 2, 0, 3, 2, 2, 4, 0, 1, 0, 3, 3, 1, 2]
pubkeycol604 = [2, 1, 4, 2, 3, 0, 3, 3, 4, 3, 3, 4, 3, 1, 3, 3, 3, 0, 0, 4, 1, 1, 0, 3, 1, 3, 2, 0, 0, 2, 0, 0, 0, 4, 0, 3, 0, 3, 2, 3, 4, 3, 4, 3, 2, 0, 0, 2, 4, 3, 4, 3, 3, 2, 3, 4, 1, 0, 2, 1, 2, 2, 3, 2, 0, 3, 3, 3, 1, 3, 1, 2, 1, 3, 3, 2, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 2, 4, 4, 0, 4, 1, 4, 4, 2, 3, 3, 2, 3, 4, 1, 4, 4, 0, 1, 3, 4, 0, 3, 0, 0, 0, 2, 4, 1, 3, 0, 4, 4, 1, 3, 4, 4, 3, 4, 2, 2, 1, 2, 1, 3, 2, 0, 4, 3, 0, 3, 0, 0, 1, 2, 3, 2, 3, 2, 4, 3, 0, 0, 3, 2, 3, 1, 1, 0, 4, 0, 4, 2, 1, 1, 0, 2, 4, 3, 3, 4, 3, 0, 2, 4, 1, 1, 2, 2, 4, 1, 3, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 4, 4, 0, 3, 0, 4, 3, 0, 4, 3, 0, 2, 4, 2, 2, 1, 1, 3, 4, 2, 0, 0, 2, 0, 4, 1, 2, 3, 3, 4, 3, 3, 1, 2, 3, 1, 1, 3, 3, 0, 2, 0, 1, 2, 0, 0, 2, 4, 0, 4, 2, 3, 2, 4, 1, 2, 0, 2, 4, 2, 1, 3, 3, 3, 3, 2, 1, 2, 1, 0, 4, 3, 4, 3, 2, 3, 1, 4, 3, 2, 4, 2, 0, 0, 3, 2, 1, 2, 0, 4, 4, 3, 3, 1, 4, 0, 2, 2, 4, 0, 2, 4, 4, 4, 0, 1, 4, 2, 1, 1, 1, 0, 1, 1, 0, 1, 3, 4, 2, 1, 1, 0, 4, 0, 4, 4, 3, 4, 1, 3, 4, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 3, 4, 3, 1, 3, 3, 3, 4, 2, 4, 0, 3, 1, 1, 0, 0, 0, 2, 3, 2, 4, 2, 2, 1, 0, 0, 3, 2, 2, 0, 0, 3, 1, 3, 4, 0, 1, 4, 2, 3, 0, 2, 0, 2, 3, 1, 2, 3, 3, 3, 2, 3, 1, 4, 0, 4, 0, 3, 3, 1, 4, 0, 0, 4, 2, 2, 3, 3, 4, 2]
pubkeycol605 = [4, 2, 4, 4, 3, 4, 4, 4, 3, 4, 1, 3, 3, 1, 2, 0, 0, 3, 2, 1, 1, 1, 4, 2, 2, 1, 2, 3, 1, 4, 0, 4, 0, 4, 0, 3, 3, 4, 1, 0, 1, 0, 3, 4, 3, 1, 2, 1, 1, 2, 4, 0, 1, 4, 4, 2, 2, 3, 4, 1, 1, 2, 1, 4, 0, 3, 1, 4, 4, 1, 4, 1, 4, 3, 2, 2, 3, 1, 3, 2, 1, 1, 4, 4, 2, 1, 4, 0, 3, 1, 3, 3, 1, 4, 3, 1, 4, 0, 2, 0, 1, 3, 4, 2, 4, 3, 4, 4, 2, 0, 4, 2, 0, 4, 3, 2, 4, 1, 0, 3, 3, 4, 4, 1, 0, 4, 1, 2, 1, 2, 1, 1, 4, 1, 4, 2, 0, 0, 0, 4, 4, 2, 2, 3, 1, 1, 2, 4, 2, 4, 0, 3, 4, 0, 4, 3, 1, 4, 4, 4, 4, 2, 3, 0, 3, 3, 2, 0, 2, 0, 0, 1, 1, 1, 2, 3, 1, 2, 0, 1, 3, 4, 0, 0, 4, 4, 3, 4, 1, 4, 1, 1, 1, 3, 4, 4, 2, 3, 2, 0, 1, 0, 2, 3, 1, 4, 1, 1, 2, 2, 1, 1, 0, 4, 3, 4, 2, 1, 1, 0, 0, 0, 4, 1, 1, 1, 1, 0, 4, 2, 4, 1, 4, 0, 1, 0, 2, 3, 4, 3, 4, 4, 1, 0, 4, 4, 1, 4, 4, 4, 4, 0, 0, 2, 4, 0, 1, 2, 0, 2, 0, 1, 3, 2, 4, 1, 1, 4, 4, 4, 2, 1, 0, 0, 2, 2, 4, 2, 0, 1, 4, 4, 1, 3, 0, 0, 0, 1, 0, 2, 0, 2, 0, 4, 1, 2, 3, 2, 2, 3, 4, 2, 4, 3, 4, 1, 1, 4, 1, 2, 0, 4, 2, 3, 4, 1, 0, 1, 3, 3, 3, 0, 0, 0, 2, 2, 1, 3, 0, 0, 2, 3, 0, 1, 4, 1, 4, 0, 1, 1, 2, 1, 2, 2, 3, 3, 0, 3, 0, 0, 2, 2, 2, 2, 3, 1, 1, 4, 2, 1, 4, 4, 2, 0, 1, 3, 3, 4, 2, 0, 0, 3, 2, 1, 0, 1, 3, 4, 3, 3, 1, 1, 2, 1, 4, 0, 2, 2, 3, 4, 2, 4, 2, 2, 1, 0, 4, 3, 3, 1]
pubkeycol606 = [0, 1, 3, 1, 2, 4, 3, 3, 4, 1, 3, 4, 4, 2, 0, 3, 1, 0, 1, 2, 0, 3, 2, 3, 2, 1, 0, 1, 2, 0, 4, 2, 0, 4, 2, 4, 0, 0, 1, 3, 4, 0, 3, 0, 0, 4, 0, 1, 2, 0, 0, 3, 1, 3, 4, 3, 2, 3, 0, 2, 1, 0, 2, 4, 3, 3, 0, 1, 3, 4, 4, 3, 3, 2, 2, 1, 2, 3, 1, 3, 4, 0, 0, 1, 2, 0, 3, 2, 1, 3, 2, 4, 2, 2, 4, 0, 1, 4, 3, 3, 1, 1, 3, 4, 2, 4, 3, 3, 2, 4, 3, 1, 1, 0, 4, 0, 3, 3, 0, 1, 2, 3, 0, 0, 1, 2, 4, 2, 1, 0, 0, 3, 0, 1, 1, 2, 0, 0, 0, 3, 0, 1, 4, 4, 3, 2, 2, 3, 3, 0, 1, 4, 0, 0, 1, 3, 0, 2, 3, 0, 0, 2, 2, 2, 4, 0, 0, 4, 1, 1, 3, 2, 0, 4, 0, 1, 3, 4, 0, 4, 1, 2, 1, 3, 4, 1, 3, 1, 3, 0, 3, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 3, 2, 3, 3, 3, 3, 0, 2, 0, 4, 4, 4, 3, 2, 4, 2, 3, 3, 3, 0, 1, 3, 0, 2, 4, 0, 1, 1, 3, 0, 0, 1, 3, 4, 4, 0, 3, 0, 1, 3, 3, 2, 2, 2, 0, 3, 0, 0, 2, 0, 1, 0, 4, 4, 2, 4, 3, 0, 0, 0, 4, 4, 0, 0, 4, 2, 1, 3, 0, 4, 0, 4, 0, 2, 1, 1, 1, 2, 0, 3, 1, 3, 3, 4, 3, 1, 2, 0, 1, 0, 4, 4, 2, 1, 1, 0, 2, 2, 0, 2, 4, 2, 3, 4, 4, 0, 0, 1, 1, 1, 4, 2, 0, 2, 0, 0, 4, 0, 3, 4, 0, 3, 3, 4, 2, 2, 4, 2, 2, 0, 1, 0, 3, 4, 4, 3, 3, 0, 3, 4, 2, 3, 0, 1, 2, 0, 2, 4, 2, 3, 0, 4, 4, 1, 3, 3, 3, 3, 1, 2, 1, 2, 2, 1, 4, 1, 1, 1, 0, 2, 3, 4, 1, 4, 0, 2, 3, 3, 4, 3, 0, 1, 2, 2, 3, 3, 0, 3, 1, 4, 1, 0, 0, 4, 1, 2, 1, 0]
pubkeycol607 = [0, 2, 1, 4, 0, 2, 3, 0, 2, 0, 2, 3, 0, 0, 3, 2, 3, 2, 4, 4, 4, 4, 4, 2, 4, 4, 3, 0, 0, 0, 0, 4, 4, 1, 1, 4, 2, 2, 2, 0, 2, 4, 2, 1, 2, 2, 2, 2, 2, 0, 3, 0, 1, 0, 3, 2, 4, 1, 0, 2, 1, 4, 3, 2, 4, 0, 0, 1, 4, 0, 0, 4, 4, 3, 0, 4, 4, 2, 0, 3, 3, 2, 0, 1, 0, 3, 0, 1, 3, 3, 2, 0, 1, 3, 3, 2, 0, 1, 0, 3, 3, 0, 3, 3, 2, 0, 1, 1, 1, 0, 4, 1, 4, 1, 1, 3, 2, 2, 2, 0, 2, 4, 0, 4, 0, 3, 2, 4, 4, 3, 2, 1, 4, 3, 0, 4, 2, 0, 4, 2, 4, 2, 0, 3, 3, 2, 4, 3, 1, 1, 1, 4, 3, 4, 3, 2, 4, 1, 1, 1, 4, 1, 1, 3, 2, 1, 4, 0, 1, 2, 3, 3, 1, 0, 3, 0, 3, 1, 2, 4, 1, 2, 4, 3, 1, 2, 3, 2, 0, 1, 3, 0, 0, 3, 4, 2, 4, 1, 3, 3, 3, 0, 0, 2, 4, 4, 4, 1, 0, 4, 0, 4, 0, 0, 4, 0, 3, 0, 3, 3, 1, 1, 2, 2, 4, 2, 0, 3, 1, 3, 4, 1, 3, 0, 1, 3, 0, 2, 2, 1, 3, 2, 2, 3, 0, 3, 4, 3, 2, 3, 4, 0, 1, 3, 1, 4, 0, 1, 3, 2, 4, 2, 2, 4, 1, 3, 4, 0, 1, 0, 1, 4, 4, 4, 0, 2, 2, 1, 4, 3, 1, 1, 0, 3, 1, 4, 1, 0, 4, 3, 4, 3, 0, 3, 1, 2, 0, 2, 4, 2, 1, 0, 4, 3, 1, 2, 2, 0, 4, 3, 1, 3, 0, 3, 0, 3, 4, 1, 1, 0, 1, 3, 1, 3, 2, 2, 2, 3, 4, 2, 1, 0, 1, 4, 4, 4, 4, 1, 3, 2, 3, 4, 2, 1, 3, 4, 1, 0, 4, 2, 2, 2, 0, 1, 0, 4, 3, 2, 3, 3, 3, 0, 0, 2, 1, 4, 4, 0, 4, 0, 1, 4, 4, 2, 0, 4, 1, 4, 0, 3, 1, 2, 4, 4, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 0, 2, 1, 4, 1]
pubkeycol608 = [1, 0, 1, 3, 3, 4, 4, 2, 0, 4, 4, 0, 4, 4, 4, 0, 3, 4, 4, 1, 0, 0, 4, 4, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 4, 4, 1, 0, 0, 4, 4, 4, 2, 3, 3, 2, 4, 1, 3, 2, 2, 1, 1, 4, 4, 1, 0, 1, 1, 2, 4, 3, 3, 3, 3, 0, 0, 3, 0, 1, 1, 4, 1, 1, 2, 1, 1, 2, 4, 3, 3, 3, 2, 4, 3, 4, 0, 1, 3, 3, 0, 1, 4, 0, 3, 3, 4, 1, 1, 3, 1, 3, 2, 0, 4, 0, 0, 3, 1, 2, 1, 0, 3, 3, 1, 0, 0, 4, 1, 3, 1, 0, 4, 4, 0, 2, 0, 4, 1, 4, 4, 1, 0, 4, 2, 0, 3, 3, 0, 1, 3, 3, 1, 1, 0, 1, 1, 1, 3, 1, 0, 3, 0, 4, 3, 3, 4, 3, 4, 2, 0, 2, 2, 4, 0, 2, 2, 3, 2, 1, 2, 4, 1, 0, 3, 3, 0, 1, 4, 4, 4, 2, 0, 4, 3, 3, 0, 0, 4, 0, 1, 0, 4, 2, 2, 2, 2, 3, 2, 0, 3, 2, 2, 3, 0, 4, 3, 0, 2, 3, 1, 1, 4, 1, 0, 4, 1, 1, 1, 1, 0, 3, 1, 2, 3, 2, 0, 2, 2, 4, 4, 3, 3, 1, 1, 1, 2, 1, 3, 3, 4, 1, 3, 0, 1, 0, 4, 4, 4, 1, 1, 1, 4, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 4, 1, 3, 2, 1, 4, 2, 0, 3, 4, 3, 1, 3, 4, 0, 3, 4, 1, 2, 4, 3, 4, 3, 2, 2, 0, 2, 2, 4, 0, 1, 3, 3, 2, 0, 4, 1, 4, 1, 3, 3, 4, 1, 2, 1, 3, 2, 3, 3, 4, 0, 0, 0, 4, 1, 1, 0, 2, 4, 2, 3, 4, 3, 4, 0, 3, 3, 3, 0, 2, 4, 2, 3, 0, 3, 4, 1, 3, 1, 0, 0, 1, 0, 0, 3, 0, 0, 2, 2, 4, 3, 1, 3, 1, 1, 0, 3, 3, 1, 2, 3, 4, 1, 2, 3, 2, 4, 3, 0, 0, 2, 3, 3, 3, 1, 2, 4, 3, 0, 4, 0, 3, 1, 1, 1, 4, 0, 0, 4, 4, 2, 2, 4, 4, 4, 0]
pubkeycol609 = [2, 1, 2, 2, 4, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 3, 4, 3, 4, 4, 0, 2, 3, 1, 4, 1, 1, 4, 1, 2, 3, 4, 0, 0, 1, 3, 1, 4, 3, 1, 2, 4, 2, 2, 3, 0, 3, 1, 4, 0, 0, 4, 0, 3, 0, 2, 0, 0, 0, 3, 4, 3, 1, 1, 0, 3, 3, 3, 4, 1, 3, 3, 3, 4, 2, 1, 1, 4, 2, 2, 4, 4, 0, 3, 1, 2, 0, 2, 1, 4, 3, 4, 0, 1, 4, 3, 0, 1, 4, 4, 4, 0, 4, 0, 3, 0, 1, 2, 4, 0, 4, 2, 3, 1, 4, 0, 0, 3, 3, 2, 1, 4, 2, 2, 1, 1, 3, 3, 2, 4, 4, 2, 0, 3, 1, 2, 3, 3, 3, 2, 4, 3, 1, 0, 1, 1, 1, 0, 4, 0, 3, 4, 1, 0, 3, 0, 0, 4, 0, 4, 3, 3, 0, 3, 2, 0, 2, 1, 4, 4, 0, 2, 1, 3, 4, 4, 2, 0, 1, 3, 1, 3, 0, 0, 2, 0, 0, 2, 3, 1, 3, 4, 4, 0, 4, 4, 3, 3, 2, 2, 3, 2, 3, 0, 1, 0, 3, 0, 2, 1, 0, 0, 0, 4, 4, 4, 3, 0, 4, 0, 4, 1, 0, 1, 0, 4, 1, 1, 1, 2, 0, 0, 0, 4, 1, 3, 4, 4, 1, 2, 4, 3, 2, 3, 3, 0, 4, 1, 1, 2, 4, 3, 4, 0, 3, 4, 2, 4, 2, 3, 0, 1, 0, 2, 2, 4, 2, 2, 0, 0, 0, 1, 4, 3, 2, 4, 1, 1, 4, 3, 4, 0, 2, 4, 1, 1, 2, 1, 1, 0, 2, 3, 1, 4, 3, 3, 1, 3, 4, 3, 1, 1, 0, 4, 0, 4, 3, 0, 1, 2, 0, 0, 1, 1, 3, 2, 2, 1, 3, 1, 2, 0, 3, 3, 2, 4, 4, 2, 2, 4, 1, 0, 4, 1, 2, 3, 1, 1, 2, 3, 3, 4, 1, 1, 3, 1, 2, 3, 1, 1, 0, 2, 3, 0, 0, 4, 1, 2, 3, 0, 4, 3, 2, 2, 0, 4, 1, 2, 1, 3, 0, 1, 2, 3, 4, 1, 0, 4, 0, 1, 2, 3, 2, 4, 0, 3, 1, 0, 3, 1, 3, 3, 2, 3, 0, 2, 3, 1]
pubkeycol610 = [1, 2, 3, 3, 4, 1, 4, 3, 4, 1, 3, 4, 1, 3, 2, 2, 1, 4, 3, 4, 3, 3, 1, 1, 3, 4, 1, 3, 3, 4, 2, 1, 2, 1, 2, 4, 2, 1, 2, 4, 3, 0, 3, 0, 0, 0, 2, 4, 3, 0, 1, 0, 0, 3, 4, 0, 3, 3, 3, 4, 2, 4, 3, 2, 3, 1, 4, 4, 0, 2, 3, 4, 1, 4, 3, 3, 3, 0, 1, 0, 2, 2, 2, 4, 0, 4, 4, 0, 3, 2, 3, 4, 2, 1, 3, 1, 0, 0, 0, 1, 0, 1, 0, 0, 3, 3, 2, 3, 1, 4, 2, 4, 2, 0, 3, 3, 3, 3, 1, 1, 4, 2, 1, 1, 2, 4, 1, 1, 2, 2, 0, 1, 3, 1, 2, 0, 0, 3, 0, 3, 2, 0, 4, 4, 3, 1, 0, 1, 0, 2, 0, 3, 2, 2, 0, 4, 0, 1, 4, 0, 2, 4, 1, 1, 3, 3, 3, 3, 2, 4, 3, 4, 4, 1, 1, 1, 1, 4, 3, 3, 4, 1, 4, 2, 4, 3, 1, 1, 2, 2, 3, 4, 4, 3, 2, 4, 3, 4, 1, 0, 1, 4, 4, 4, 4, 3, 3, 2, 0, 0, 0, 1, 3, 1, 0, 2, 1, 3, 0, 1, 1, 2, 3, 1, 4, 1, 2, 4, 3, 1, 3, 0, 4, 1, 2, 0, 1, 2, 2, 4, 1, 4, 4, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 3, 2, 0, 3, 0, 1, 2, 4, 4, 4, 4, 1, 1, 3, 4, 3, 0, 3, 0, 0, 1, 4, 4, 0, 1, 4, 0, 1, 4, 4, 4, 2, 0, 1, 2, 1, 3, 0, 3, 4, 1, 1, 1, 1, 1, 0, 3, 1, 1, 4, 1, 4, 1, 4, 4, 1, 1, 4, 2, 2, 0, 3, 1, 0, 4, 1, 4, 2, 1, 1, 0, 1, 0, 4, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 4, 4, 0, 2, 0, 4, 4, 0, 2, 4, 3, 3, 1, 4, 2, 0, 0, 4, 4, 2, 4, 1, 2, 2, 0, 0, 1, 2, 0, 4, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 0, 0, 4, 4, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 0, 0]
pubkeycol611 = [1, 2, 0, 4, 1, 4, 2, 4, 0, 2, 1, 2, 4, 1, 3, 0, 3, 3, 1, 1, 3, 0, 2, 0, 4, 1, 3, 2, 2, 0, 4, 2, 0, 4, 2, 4, 2, 3, 0, 4, 2, 3, 4, 3, 4, 1, 0, 2, 1, 1, 4, 4, 1, 1, 4, 2, 3, 0, 0, 0, 4, 2, 1, 1, 0, 0, 4, 2, 4, 2, 0, 1, 1, 2, 2, 0, 3, 3, 4, 4, 0, 3, 3, 3, 2, 1, 1, 3, 2, 3, 4, 4, 3, 1, 3, 1, 2, 3, 0, 0, 1, 1, 4, 2, 4, 3, 0, 2, 3, 0, 4, 1, 2, 0, 3, 0, 2, 0, 0, 0, 1, 4, 0, 2, 3, 0, 3, 4, 1, 2, 2, 1, 3, 4, 4, 3, 4, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 4, 4, 0, 4, 1, 1, 4, 4, 0, 1, 4, 1, 2, 3, 1, 0, 4, 2, 0, 2, 1, 1, 2, 4, 3, 3, 3, 1, 2, 4, 3, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 3, 1, 2, 3, 0, 3, 1, 2, 1, 4, 0, 3, 2, 2, 1, 2, 1, 4, 1, 1, 2, 2, 1, 3, 4, 4, 2, 1, 2, 2, 3, 1, 2, 1, 2, 4, 4, 3, 3, 1, 2, 3, 3, 3, 0, 1, 3, 0, 1, 4, 1, 0, 1, 3, 3, 2, 3, 2, 2, 3, 3, 3, 4, 2, 0, 3, 0, 3, 2, 4, 2, 0, 0, 4, 2, 2, 2, 0, 4, 4, 3, 3, 2, 2, 3, 4, 0, 4, 1, 1, 4, 0, 3, 4, 1, 0, 4, 2, 3, 4, 3, 0, 2, 4, 0, 3, 3, 0, 4, 4, 3, 0, 3, 4, 1, 1, 0, 2, 1, 0, 4, 1, 2, 2, 2, 4, 4, 3, 0, 4, 4, 4, 2, 2, 4, 3, 2, 2, 1, 3, 3, 4, 0, 3, 0, 3, 0, 0, 1, 3, 1, 2, 0, 4, 3, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 4, 1, 1, 0, 1, 4, 0, 1, 0, 2, 0, 2, 3, 4, 1, 0, 1, 2, 1, 4, 2, 4, 1, 4, 1, 0, 4, 3, 4, 0, 2, 3, 0, 3, 0, 4, 1, 2, 3, 1, 3, 1, 1, 2]
pubkeycol612 = [0, 3, 3, 3, 0, 3, 4, 1, 3, 1, 0, 4, 1, 1, 3, 2, 4, 3, 0, 1, 0, 4, 0, 3, 3, 0, 0, 1, 1, 4, 1, 4, 1, 4, 0, 0, 4, 3, 4, 3, 4, 4, 3, 4, 1, 0, 1, 2, 2, 1, 3, 3, 2, 0, 0, 1, 0, 3, 1, 4, 0, 3, 0, 2, 2, 0, 4, 2, 3, 1, 2, 0, 2, 0, 4, 3, 2, 4, 1, 2, 2, 4, 4, 0, 2, 1, 1, 2, 1, 4, 0, 4, 0, 4, 4, 3, 2, 2, 0, 3, 2, 3, 4, 0, 4, 1, 1, 4, 0, 0, 0, 0, 4, 1, 2, 1, 0, 0, 4, 0, 3, 2, 2, 2, 2, 3, 3, 2, 1, 2, 0, 4, 3, 1, 1, 3, 0, 2, 4, 0, 2, 3, 4, 1, 4, 1, 4, 4, 3, 3, 1, 1, 4, 3, 3, 1, 0, 1, 2, 0, 3, 1, 0, 2, 4, 3, 2, 4, 1, 1, 0, 4, 3, 3, 0, 1, 1, 3, 0, 4, 0, 0, 2, 1, 2, 2, 3, 1, 0, 0, 1, 1, 4, 0, 0, 2, 2, 1, 1, 1, 3, 4, 3, 0, 3, 0, 0, 2, 2, 0, 4, 4, 1, 0, 1, 2, 2, 0, 1, 4, 4, 4, 4, 4, 2, 2, 3, 1, 1, 0, 0, 1, 1, 3, 1, 2, 2, 2, 0, 2, 0, 3, 1, 2, 3, 2, 4, 3, 1, 0, 2, 3, 3, 4, 1, 3, 4, 3, 2, 0, 4, 1, 3, 4, 4, 3, 3, 0, 1, 3, 0, 0, 3, 0, 0, 1, 0, 2, 1, 3, 0, 2, 3, 2, 1, 4, 4, 4, 2, 1, 4, 4, 3, 2, 2, 4, 2, 4, 2, 2, 2, 4, 3, 3, 0, 0, 0, 2, 3, 2, 3, 2, 1, 4, 3, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 3, 3, 2, 4, 3, 1, 0, 2, 1, 0, 4, 1, 2, 1, 1, 0, 2, 4, 3, 4, 0, 0, 3, 2, 1, 2, 3, 4, 3, 4, 2, 1, 3, 2, 0, 0, 0, 4, 3, 0, 3, 2, 2, 1, 3, 3, 0, 0, 4, 2, 2, 0, 1, 4, 0, 3, 1, 1, 4, 1, 3, 4, 3, 1, 3, 1, 2, 3, 2, 4, 4, 3, 1, 2, 1]
pubkeycol613 = [3, 3, 1, 1, 3, 2, 4, 2, 4, 0, 1, 0, 3, 4, 4, 4, 2, 2, 1, 2, 0, 1, 2, 4, 2, 3, 1, 0, 1, 1, 1, 3, 3, 4, 4, 0, 0, 3, 1, 2, 4, 4, 4, 3, 4, 1, 1, 3, 2, 2, 0, 2, 3, 3, 2, 4, 0, 2, 1, 0, 2, 1, 3, 1, 0, 3, 2, 1, 0, 2, 0, 4, 0, 4, 2, 3, 4, 4, 1, 4, 4, 4, 2, 0, 2, 0, 0, 2, 3, 0, 3, 0, 1, 1, 0, 2, 4, 1, 2, 4, 1, 3, 4, 2, 2, 2, 1, 4, 2, 1, 0, 4, 2, 0, 2, 1, 3, 3, 1, 2, 0, 0, 3, 2, 2, 4, 1, 4, 0, 3, 3, 1, 4, 4, 3, 3, 4, 3, 0, 0, 0, 2, 0, 4, 0, 2, 1, 3, 4, 0, 3, 0, 0, 4, 2, 0, 4, 0, 4, 2, 4, 3, 1, 2, 2, 1, 2, 4, 1, 3, 2, 1, 4, 1, 1, 1, 0, 4, 4, 1, 4, 0, 4, 2, 0, 2, 0, 3, 2, 4, 0, 1, 0, 2, 2, 2, 4, 1, 2, 1, 0, 4, 4, 2, 2, 2, 4, 1, 4, 4, 0, 4, 2, 2, 3, 0, 3, 1, 4, 2, 3, 0, 3, 1, 1, 0, 4, 1, 2, 3, 4, 1, 4, 0, 0, 3, 1, 0, 0, 2, 0, 1, 1, 2, 3, 4, 4, 4, 1, 1, 4, 0, 2, 0, 4, 0, 3, 4, 0, 3, 0, 3, 3, 0, 1, 0, 3, 1, 1, 4, 0, 3, 2, 2, 3, 4, 3, 4, 3, 0, 1, 1, 3, 1, 0, 0, 3, 1, 1, 0, 1, 2, 3, 1, 1, 2, 0, 2, 1, 3, 3, 0, 3, 1, 3, 0, 4, 3, 4, 4, 3, 4, 4, 4, 0, 1, 0, 4, 1, 1, 3, 1, 1, 0, 3, 1, 0, 2, 1, 3, 3, 4, 1, 2, 2, 3, 0, 4, 3, 1, 4, 1, 1, 2, 3, 3, 3, 1, 2, 1, 1, 3, 3, 2, 3, 3, 0, 4, 4, 3, 2, 3, 4, 4, 3, 4, 1, 1, 0, 1, 3, 2, 2, 1, 2, 2, 4, 0, 1, 3, 2, 2, 1, 2, 1, 4, 2, 1, 3, 3, 3, 3, 0, 0, 2, 4, 0, 0, 0, 4]
pubkeycol614 = [2, 3, 3, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 3, 3, 4, 4, 2, 2, 0, 2, 3, 0, 2, 1, 3, 3, 1, 3, 1, 2, 4, 4, 4, 3, 3, 0, 0, 4, 2, 1, 0, 2, 3, 4, 2, 0, 0, 1, 3, 2, 3, 3, 3, 2, 1, 0, 1, 4, 2, 4, 4, 0, 1, 0, 1, 1, 4, 4, 4, 1, 3, 1, 1, 0, 2, 2, 3, 2, 0, 2, 4, 1, 3, 1, 1, 3, 3, 0, 0, 4, 2, 3, 1, 2, 4, 2, 0, 1, 2, 2, 1, 3, 2, 2, 4, 2, 3, 0, 3, 1, 3, 4, 3, 1, 3, 4, 0, 4, 1, 1, 2, 1, 1, 3, 1, 1, 0, 3, 4, 1, 0, 4, 0, 2, 3, 4, 4, 2, 1, 0, 0, 3, 2, 2, 0, 2, 3, 4, 3, 3, 0, 4, 0, 4, 4, 3, 1, 0, 0, 1, 0, 0, 4, 1, 2, 2, 0, 4, 3, 3, 2, 2, 3, 2, 3, 4, 4, 0, 1, 3, 3, 4, 0, 2, 2, 4, 1, 3, 1, 3, 2, 4, 2, 1, 3, 4, 2, 2, 4, 2, 3, 1, 1, 0, 2, 2, 2, 3, 4, 1, 0, 3, 3, 1, 1, 4, 4, 2, 4, 0, 4, 0, 0, 0, 4, 2, 1, 2, 4, 2, 2, 3, 3, 2, 4, 0, 3, 2, 1, 3, 0, 1, 0, 4, 0, 3, 1, 1, 0, 4, 4, 2, 1, 4, 3, 2, 2, 4, 3, 2, 0, 0, 3, 2, 3, 2, 3, 2, 3, 1, 4, 3, 0, 4, 4, 2, 3, 4, 4, 0, 0, 1, 1, 3, 2, 0, 4, 0, 2, 0, 3, 2, 0, 1, 3, 0, 2, 2, 4, 2, 1, 3, 3, 1, 2, 4, 1, 2, 2, 4, 2, 2, 4, 4, 1, 3, 3, 2, 1, 4, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 4, 0, 2, 0, 0, 1, 4, 4, 0, 1, 1, 0, 3, 2, 3, 1, 3, 4, 0, 3, 3, 0, 0, 3, 2, 0, 2, 1, 0, 2, 4, 0, 1, 1, 0, 4, 0, 3, 4, 4, 4, 3, 2, 2, 4, 1, 1, 4, 2, 2, 3, 1, 1, 0, 4, 1, 0, 0, 2, 2, 2, 3, 1, 0, 4, 4]
pubkeycol615 = [3, 2, 0, 2, 1, 2, 2, 3, 2, 2, 0, 1, 4, 2, 2, 0, 2, 1, 1, 3, 3, 1, 4, 0, 3, 2, 2, 2, 4, 0, 2, 2, 4, 2, 1, 2, 1, 3, 2, 1, 1, 4, 4, 2, 1, 2, 4, 3, 3, 3, 2, 0, 2, 1, 2, 1, 0, 1, 4, 2, 1, 0, 1, 3, 3, 3, 0, 3, 1, 4, 2, 4, 2, 2, 3, 4, 3, 4, 4, 4, 1, 4, 0, 0, 3, 4, 2, 0, 0, 1, 3, 1, 3, 0, 1, 3, 2, 0, 2, 2, 3, 3, 2, 1, 0, 1, 0, 0, 4, 1, 0, 0, 3, 0, 0, 2, 0, 3, 3, 3, 3, 4, 4, 3, 2, 1, 0, 3, 2, 3, 4, 0, 1, 0, 1, 4, 2, 3, 1, 4, 3, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 4, 3, 4, 0, 2, 3, 3, 0, 0, 4, 0, 2, 2, 0, 0, 2, 2, 2, 0, 4, 3, 0, 2, 2, 0, 3, 1, 4, 4, 0, 2, 1, 0, 1, 4, 3, 3, 4, 0, 2, 0, 1, 0, 2, 0, 0, 3, 4, 2, 1, 1, 3, 0, 2, 0, 3, 1, 2, 0, 2, 1, 4, 2, 1, 0, 4, 0, 4, 3, 0, 2, 3, 3, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 2, 1, 0, 0, 2, 3, 3, 3, 2, 2, 2, 0, 1, 4, 4, 0, 3, 3, 2, 0, 4, 3, 2, 1, 1, 3, 1, 1, 1, 1, 0, 3, 4, 0, 1, 0, 1, 1, 1, 2, 4, 2, 3, 1, 2, 0, 4, 2, 0, 0, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 0, 0, 3, 2, 0, 2, 3, 4, 4, 2, 0, 2, 0, 4, 3, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 2, 2, 1, 0, 4, 0, 0, 0, 1, 0, 4, 0, 0, 3, 0, 0, 3, 1, 3, 4, 4, 1, 1, 1, 4, 0, 1, 4, 1, 3, 4, 1, 1, 4, 4, 3, 0, 2, 1, 4, 3, 0, 4, 4, 1, 2, 0, 4, 2, 1, 2, 0, 0, 3, 1, 3, 0, 1, 1, 3]
pubkeycol616 = [2, 2, 2, 1, 1, 1, 4, 3, 4, 2, 1, 2, 3, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 3, 1, 3, 3, 4, 1, 3, 0, 1, 1, 4, 2, 3, 0, 3, 2, 2, 3, 1, 4, 2, 3, 3, 0, 2, 1, 2, 3, 3, 3, 4, 3, 2, 1, 0, 1, 4, 3, 1, 4, 3, 1, 3, 0, 1, 3, 4, 2, 2, 2, 1, 3, 2, 4, 1, 3, 4, 3, 0, 3, 2, 1, 1, 0, 0, 3, 3, 2, 1, 3, 4, 4, 3, 1, 3, 3, 0, 3, 4, 1, 0, 4, 3, 2, 0, 2, 3, 3, 0, 2, 1, 4, 0, 4, 2, 1, 0, 4, 0, 2, 2, 0, 2, 4, 1, 1, 4, 4, 1, 2, 2, 4, 3, 4, 3, 0, 1, 1, 2, 4, 2, 0, 0, 0, 2, 3, 0, 2, 1, 4, 2, 3, 2, 0, 2, 4, 0, 3, 0, 0, 3, 2, 1, 0, 0, 1, 2, 1, 2, 4, 1, 4, 3, 4, 4, 3, 4, 4, 2, 0, 4, 3, 1, 0, 3, 3, 1, 4, 2, 4, 0, 2, 1, 2, 1, 2, 3, 0, 0, 4, 0, 1, 0, 4, 3, 1, 4, 4, 3, 0, 2, 0, 0, 4, 3, 3, 2, 0, 1, 2, 4, 0, 0, 1, 2, 4, 4, 3, 4, 3, 0, 3, 3, 2, 1, 4, 3, 2, 0, 2, 3, 3, 2, 3, 3, 4, 1, 1, 0, 4, 2, 2, 4, 2, 0, 2, 0, 3, 1, 4, 3, 0, 4, 2, 3, 0, 2, 4, 2, 3, 3, 0, 0, 0, 4, 3, 3, 3, 1, 0, 1, 1, 2, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 2, 4, 2, 3, 0, 2, 1, 4, 4, 1, 0, 1, 3, 1, 4, 4, 0, 4, 2, 2, 4, 3, 2, 2, 2, 3, 4, 2, 2, 1, 3, 3, 1, 4, 4, 4, 4, 2, 4, 0, 4, 4, 4, 3, 0, 3, 2, 1, 1, 1, 3, 0, 4, 4, 0, 1, 0, 1, 0, 4, 1, 3, 3, 4, 2, 2, 1, 2, 0, 3, 0, 3, 0, 2, 3, 4, 1, 3, 3, 1, 2, 2, 0, 4, 1, 3, 1, 3, 3, 0, 0, 2, 2, 2, 3, 1, 0, 3, 1, 1, 3, 0, 4]
pubkeycol617 = [3, 0, 4, 3, 4, 0, 3, 1, 4, 4, 2, 3, 3, 2, 2, 2, 1, 2, 1, 4, 2, 2, 2, 4, 3, 3, 1, 1, 4, 1, 0, 0, 1, 3, 2, 3, 0, 2, 0, 4, 3, 3, 2, 4, 2, 4, 4, 1, 3, 4, 4, 4, 4, 0, 2, 0, 1, 4, 0, 2, 2, 1, 2, 1, 4, 3, 1, 3, 1, 2, 4, 4, 1, 0, 1, 3, 0, 3, 4, 1, 1, 1, 2, 0, 0, 4, 1, 3, 2, 4, 2, 1, 4, 4, 3, 3, 1, 2, 4, 2, 3, 4, 3, 3, 1, 3, 3, 3, 0, 2, 3, 3, 1, 1, 1, 0, 2, 3, 2, 1, 0, 0, 1, 2, 4, 4, 3, 2, 4, 1, 4, 0, 4, 0, 1, 3, 1, 2, 0, 1, 3, 3, 1, 3, 3, 1, 0, 3, 4, 0, 4, 1, 3, 4, 1, 4, 1, 2, 0, 4, 4, 4, 4, 2, 0, 0, 4, 4, 4, 1, 3, 0, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 1, 2, 1, 3, 1, 0, 1, 1, 1, 0, 4, 4, 4, 3, 3, 2, 2, 1, 1, 4, 2, 3, 1, 0, 3, 0, 2, 1, 2, 0, 3, 4, 0, 3, 0, 3, 3, 4, 0, 1, 0, 0, 0, 4, 2, 2, 2, 4, 4, 2, 0, 2, 4, 4, 3, 3, 0, 4, 1, 2, 2, 2, 2, 0, 0, 1, 4, 2, 3, 1, 4, 3, 2, 4, 2, 4, 4, 1, 3, 4, 2, 3, 1, 4, 4, 1, 2, 2, 1, 4, 4, 1, 1, 3, 2, 2, 3, 4, 0, 0, 3, 2, 0, 0, 2, 3, 4, 1, 4, 0, 0, 4, 1, 3, 0, 4, 3, 1, 0, 2, 4, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 3, 3, 0, 3, 1, 3, 0, 2, 1, 4, 1, 4, 3, 1, 3, 1, 4, 1, 4, 1, 4, 2, 0, 0, 4, 1, 3, 0, 4, 4, 1, 0, 2, 1, 3, 1, 4, 2, 4, 1, 1, 4, 2, 2, 1, 0, 0, 4, 1, 1, 4, 4, 0, 1, 3, 4, 0, 3, 0, 3, 1, 2, 0, 0, 3, 2, 0, 1, 2, 4, 2, 1, 1, 0, 0, 4, 1, 0, 1, 2, 1, 2, 0, 3, 2]
pubkeycol618 = [3, 0, 2, 0, 2, 0, 3, 4, 4, 4, 1, 1, 2, 3, 0, 0, 3, 3, 3, 2, 1, 4, 3, 0, 4, 2, 0, 2, 4, 3, 0, 1, 3, 3, 1, 4, 2, 2, 3, 0, 0, 4, 1, 0, 3, 4, 2, 1, 2, 0, 2, 2, 4, 1, 3, 3, 3, 1, 0, 4, 1, 3, 4, 2, 1, 2, 2, 2, 0, 1, 4, 4, 3, 2, 2, 1, 2, 1, 3, 3, 0, 1, 2, 2, 4, 1, 0, 3, 1, 4, 0, 3, 0, 2, 4, 0, 4, 3, 1, 3, 2, 1, 1, 4, 3, 2, 3, 3, 4, 3, 0, 3, 2, 0, 0, 1, 0, 0, 1, 0, 2, 4, 3, 1, 1, 2, 4, 0, 0, 1, 3, 1, 0, 0, 4, 3, 4, 2, 0, 2, 4, 2, 3, 1, 2, 2, 4, 0, 0, 4, 1, 1, 0, 0, 4, 3, 3, 0, 2, 4, 4, 3, 0, 3, 3, 3, 4, 2, 3, 1, 4, 3, 4, 2, 3, 3, 3, 1, 2, 1, 1, 2, 0, 4, 1, 1, 0, 3, 3, 2, 4, 1, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4, 1, 2, 0, 2, 3, 4, 2, 4, 3, 3, 2, 1, 2, 0, 3, 0, 2, 2, 2, 4, 4, 3, 4, 3, 3, 1, 3, 2, 2, 2, 3, 1, 4, 2, 4, 1, 0, 1, 3, 3, 3, 4, 4, 1, 3, 4, 0, 3, 4, 4, 2, 3, 2, 4, 1, 4, 0, 4, 3, 4, 1, 2, 4, 1, 1, 2, 2, 1, 4, 3, 3, 4, 4, 0, 2, 1, 4, 3, 0, 4, 1, 4, 1, 1, 2, 0, 4, 2, 0, 3, 3, 1, 1, 3, 4, 3, 4, 1, 2, 1, 4, 2, 4, 0, 3, 0, 2, 1, 0, 1, 0, 2, 4, 4, 3, 3, 3, 2, 1, 0, 1, 1, 1, 1, 3, 0, 4, 4, 0, 1, 1, 3, 2, 0, 3, 3, 2, 3, 4, 4, 2, 4, 3, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 3, 1, 3, 4, 0, 1, 3, 3, 1, 4, 3, 4, 4, 4, 4, 4, 1, 0, 3, 4, 2, 0, 2, 0, 1, 4, 3, 1, 0, 2, 2, 3, 1, 1, 4]
pubkeycol619 = [3, 3, 4, 0, 0, 2, 3, 0, 3, 0, 4, 4, 3, 4, 1, 3, 2, 4, 1, 4, 1, 3, 0, 4, 1, 0, 4, 3, 2, 4, 0, 3, 2, 1, 4, 3, 1, 2, 4, 0, 2, 1, 3, 4, 4, 1, 2, 2, 1, 1, 3, 1, 0, 3, 3, 3, 1, 2, 1, 2, 4, 3, 2, 3, 4, 2, 2, 2, 4, 4, 1, 2, 0, 3, 2, 4, 3, 4, 4, 4, 3, 4, 1, 4, 4, 4, 4, 4, 0, 1, 2, 0, 4, 2, 2, 3, 4, 0, 3, 2, 3, 0, 2, 2, 0, 2, 1, 1, 4, 3, 2, 4, 1, 4, 2, 3, 4, 3, 4, 1, 0, 1, 1, 4, 1, 3, 4, 4, 4, 3, 0, 1, 1, 3, 0, 0, 3, 0, 0, 1, 0, 2, 4, 4, 4, 4, 2, 1, 0, 2, 0, 4, 3, 4, 2, 1, 3, 2, 4, 4, 4, 0, 3, 2, 3, 2, 0, 4, 2, 4, 0, 0, 0, 1, 2, 3, 0, 3, 0, 4, 3, 1, 2, 3, 1, 2, 4, 3, 2, 0, 3, 0, 2, 4, 4, 0, 2, 3, 4, 2, 1, 1, 0, 4, 4, 3, 4, 3, 1, 4, 4, 1, 3, 2, 3, 0, 2, 3, 2, 3, 2, 3, 3, 0, 0, 3, 0, 0, 2, 0, 4, 0, 0, 2, 3, 0, 1, 3, 4, 1, 1, 4, 3, 3, 2, 1, 3, 4, 1, 2, 3, 0, 4, 1, 2, 3, 2, 1, 3, 3, 0, 1, 2, 0, 1, 1, 4, 1, 0, 0, 4, 4, 3, 3, 3, 1, 4, 4, 1, 2, 4, 1, 1, 4, 2, 0, 3, 0, 2, 1, 2, 2, 1, 2, 4, 4, 4, 0, 0, 3, 0, 1, 3, 1, 4, 2, 4, 0, 1, 2, 4, 4, 4, 3, 0, 2, 2, 0, 1, 3, 1, 3, 3, 2, 0, 3, 3, 0, 3, 4, 4, 3, 1, 4, 2, 1, 4, 0, 2, 0, 4, 4, 4, 2, 3, 4, 4, 4, 2, 4, 3, 4, 0, 1, 4, 3, 1, 4, 2, 3, 1, 4, 1, 3, 4, 2, 0, 2, 1, 0, 1, 3, 0, 4, 0, 4, 4, 0, 4, 0, 2, 4, 3, 2, 2, 1, 4, 2, 3, 4, 2, 2, 3, 4, 1, 2, 3, 4, 1, 2]
pubkeycol620 = [3, 4, 4, 0, 4, 1, 3, 0, 2, 0, 3, 2, 4, 2, 3, 3, 4, 0, 0, 3, 1, 1, 1, 0, 3, 3, 4, 3, 3, 2, 2, 4, 0, 0, 1, 1, 2, 2, 1, 4, 2, 2, 3, 3, 3, 0, 2, 4, 2, 2, 4, 4, 1, 3, 1, 0, 4, 1, 3, 2, 4, 4, 2, 4, 0, 0, 0, 2, 4, 0, 2, 1, 1, 1, 0, 4, 2, 2, 1, 2, 2, 2, 4, 2, 2, 3, 0, 1, 2, 0, 4, 1, 0, 4, 0, 2, 0, 0, 1, 4, 4, 3, 3, 1, 1, 3, 0, 2, 3, 3, 0, 4, 3, 1, 4, 1, 2, 1, 2, 2, 2, 4, 3, 3, 2, 1, 0, 3, 2, 4, 0, 4, 0, 4, 0, 4, 4, 2, 4, 2, 1, 4, 3, 3, 3, 2, 2, 0, 3, 1, 2, 1, 3, 2, 4, 4, 0, 2, 4, 3, 4, 2, 1, 2, 1, 3, 4, 0, 2, 1, 2, 2, 0, 1, 4, 1, 1, 0, 0, 3, 4, 0, 1, 4, 3, 0, 0, 0, 4, 3, 4, 0, 1, 0, 4, 1, 0, 3, 1, 4, 0, 4, 0, 2, 2, 4, 2, 4, 4, 3, 2, 1, 4, 1, 1, 3, 1, 1, 4, 2, 2, 1, 3, 2, 0, 3, 2, 3, 0, 2, 3, 3, 4, 0, 4, 2, 3, 3, 0, 3, 4, 4, 2, 1, 4, 4, 3, 1, 1, 4, 0, 1, 0, 4, 3, 3, 2, 4, 0, 0, 2, 0, 4, 2, 4, 2, 1, 0, 2, 1, 0, 2, 0, 3, 3, 3, 3, 1, 3, 1, 1, 0, 1, 4, 2, 4, 3, 3, 4, 2, 1, 1, 1, 4, 4, 1, 2, 3, 2, 1, 2, 4, 0, 4, 4, 0, 1, 4, 3, 0, 4, 1, 3, 3, 3, 2, 2, 3, 2, 4, 4, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 3, 1, 3, 3, 0, 1, 2, 0, 1, 0, 1, 3, 3, 1, 4, 3, 2, 0, 3, 0, 4, 4, 4, 0, 0, 0, 3, 0, 0, 0, 4, 0, 2, 2, 1, 4, 4, 2, 3, 0, 4, 1, 0, 1, 0, 1, 2, 1, 4, 3, 2, 3, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 4, 3]
pubkeycol621 = [1, 1, 3, 3, 0, 1, 1, 0, 2, 2, 4, 0, 4, 2, 3, 2, 3, 2, 1, 4, 1, 2, 2, 2, 4, 4, 4, 0, 4, 4, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 3, 1, 2, 1, 2, 3, 2, 3, 0, 0, 3, 0, 0, 4, 2, 0, 2, 2, 0, 3, 1, 4, 4, 2, 0, 1, 4, 3, 0, 1, 4, 3, 1, 0, 4, 4, 2, 4, 2, 3, 4, 1, 2, 4, 4, 4, 2, 3, 1, 4, 2, 3, 0, 4, 0, 0, 1, 0, 3, 3, 0, 1, 2, 4, 1, 0, 3, 2, 4, 3, 0, 2, 2, 3, 1, 1, 2, 4, 2, 3, 2, 2, 4, 0, 0, 0, 2, 2, 0, 0, 1, 1, 3, 4, 4, 3, 4, 0, 0, 4, 0, 1, 1, 4, 1, 3, 4, 3, 4, 1, 0, 1, 4, 4, 0, 2, 2, 1, 1, 0, 3, 4, 2, 4, 2, 4, 0, 0, 0, 4, 0, 4, 4, 3, 4, 4, 1, 4, 3, 3, 2, 4, 4, 0, 2, 4, 0, 3, 0, 2, 0, 0, 3, 0, 1, 2, 2, 2, 3, 1, 3, 2, 4, 0, 1, 3, 1, 0, 1, 1, 4, 2, 3, 0, 3, 1, 3, 2, 2, 1, 1, 3, 4, 2, 1, 2, 4, 1, 1, 3, 2, 0, 0, 0, 1, 3, 4, 4, 2, 1, 0, 2, 4, 2, 2, 1, 3, 3, 4, 4, 1, 2, 0, 3, 0, 3, 0, 1, 4, 3, 4, 2, 2, 0, 1, 2, 2, 3, 1, 3, 2, 2, 3, 3, 4, 3, 4, 4, 3, 2, 4, 0, 2, 2, 1, 4, 0, 4, 2, 4, 2, 3, 2, 3, 2, 1, 3, 4, 0, 2, 3, 4, 2, 4, 2, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 4, 4, 2, 2, 4, 2, 0, 2, 2, 2, 2, 4, 1, 0, 2, 4, 2, 2, 1, 3, 0, 1, 3, 4, 4, 4, 3, 4, 3, 2, 1, 1, 4, 1, 0, 0, 2, 1, 0, 3, 2, 4, 1, 1, 3, 0, 2, 1, 2, 1, 0, 2, 3, 1, 3, 3, 0, 1, 1, 0, 2, 3, 1, 0, 0, 1, 1, 0, 4, 4, 3, 4, 0, 4, 1, 2, 4, 1, 2, 3, 2]
pubkeycol622 = [2, 2, 3, 1, 3, 1, 4, 2, 3, 3, 1, 3, 2, 4, 2, 4, 1, 1, 3, 0, 3, 4, 4, 1, 1, 0, 2, 0, 0, 1, 3, 0, 3, 4, 1, 3, 3, 1, 2, 0, 4, 1, 2, 1, 0, 2, 0, 4, 4, 4, 3, 0, 2, 3, 0, 1, 2, 4, 3, 1, 3, 3, 3, 4, 4, 3, 2, 0, 4, 1, 2, 1, 1, 2, 0, 1, 2, 3, 3, 2, 3, 0, 3, 3, 3, 1, 3, 0, 2, 3, 3, 1, 0, 0, 1, 4, 3, 3, 1, 2, 1, 2, 0, 2, 4, 2, 2, 1, 1, 3, 4, 1, 2, 0, 1, 0, 1, 0, 3, 3, 2, 0, 2, 1, 2, 0, 3, 1, 0, 0, 4, 3, 0, 1, 0, 4, 0, 0, 4, 1, 0, 1, 3, 3, 4, 0, 4, 3, 0, 2, 4, 4, 4, 0, 3, 2, 2, 1, 4, 1, 4, 1, 3, 2, 2, 2, 3, 1, 2, 1, 2, 0, 4, 4, 1, 0, 4, 2, 2, 1, 2, 0, 4, 4, 4, 2, 2, 0, 3, 2, 2, 2, 1, 1, 4, 2, 0, 4, 0, 1, 1, 3, 4, 3, 0, 3, 4, 4, 4, 0, 4, 2, 3, 4, 4, 2, 4, 2, 0, 1, 2, 2, 4, 1, 1, 4, 4, 4, 1, 0, 0, 4, 4, 4, 1, 1, 2, 3, 1, 0, 3, 3, 4, 3, 4, 1, 4, 0, 1, 2, 0, 0, 1, 1, 3, 3, 4, 0, 1, 1, 0, 0, 0, 3, 2, 4, 1, 3, 2, 4, 4, 4, 1, 2, 1, 0, 4, 4, 4, 1, 3, 1, 4, 1, 3, 4, 1, 4, 3, 0, 0, 4, 1, 2, 3, 3, 4, 2, 2, 0, 0, 0, 2, 2, 4, 0, 3, 3, 0, 1, 0, 0, 2, 4, 0, 4, 4, 2, 1, 0, 1, 0, 1, 1, 2, 4, 1, 3, 4, 4, 1, 4, 0, 2, 3, 3, 1, 0, 2, 0, 2, 3, 3, 2, 3, 1, 0, 2, 2, 1, 3, 2, 3, 0, 4, 3, 1, 1, 2, 2, 4, 0, 3, 3, 2, 2, 1, 2, 3, 4, 0, 4, 2, 1, 1, 3, 0, 3, 1, 0, 4, 1, 2, 4, 3, 0, 3, 1, 1, 2, 3, 0, 2, 1, 2, 0, 2, 1, 0, 4]
pubkeycol623 = [3, 2, 4, 3, 3, 0, 2, 2, 4, 3, 3, 0, 2, 2, 2, 4, 4, 3, 0, 1, 4, 1, 3, 1, 1, 4, 4, 1, 1, 0, 0, 0, 4, 4, 4, 2, 4, 1, 3, 1, 2, 2, 3, 1, 4, 2, 3, 4, 0, 2, 3, 0, 2, 0, 2, 2, 0, 3, 3, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 4, 3, 2, 3, 3, 2, 0, 2, 0, 3, 4, 4, 1, 1, 4, 1, 0, 4, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 4, 3, 0, 3, 4, 0, 0, 1, 4, 3, 0, 1, 3, 4, 0, 2, 3, 2, 2, 3, 4, 3, 2, 0, 0, 3, 3, 0, 3, 4, 3, 2, 3, 1, 0, 4, 1, 4, 0, 4, 2, 0, 0, 2, 1, 4, 2, 1, 3, 3, 4, 4, 4, 3, 2, 2, 4, 4, 2, 1, 3, 3, 2, 3, 0, 3, 3, 0, 4, 3, 1, 1, 2, 4, 0, 0, 4, 1, 0, 4, 3, 4, 3, 4, 3, 2, 3, 4, 4, 1, 0, 1, 2, 3, 3, 4, 2, 3, 3, 2, 0, 1, 2, 4, 0, 0, 3, 3, 2, 1, 3, 3, 4, 0, 4, 0, 4, 2, 1, 4, 1, 1, 1, 0, 4, 0, 1, 3, 0, 0, 3, 4, 0, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 3, 0, 3, 3, 4, 2, 4, 4, 3, 1, 2, 3, 3, 3, 1, 0, 4, 2, 2, 0, 4, 1, 2, 4, 0, 0, 0, 0, 3, 1, 3, 1, 0, 0, 4, 0, 1, 3, 0, 1, 0, 1, 3, 3, 1, 4, 4, 2, 0, 3, 3, 3, 4, 4, 1, 3, 3, 3, 1, 2, 4, 1, 4, 1, 1, 3, 4, 1, 0, 3, 0, 0, 3, 0, 2, 2, 4, 4, 4, 2, 1, 2, 3, 0, 2, 2, 3, 3, 4, 4, 1, 3, 1, 1, 4, 2, 1, 2, 1, 1, 1, 4, 1, 4, 3, 1, 2, 3, 0, 0, 1, 2, 0, 2, 3, 4, 3, 0, 4, 2, 2, 3, 4, 0, 2, 3, 1, 3, 3, 0, 4, 3, 0, 4, 3, 2, 3, 2, 3, 1, 2, 0, 1, 2, 1, 3, 4, 1, 1, 2, 0, 2, 2]
pubkeycol624 = [1, 1, 4, 4, 2, 4, 0, 4, 1, 0, 4, 0, 2, 1, 2, 2, 1, 4, 0, 4, 1, 2, 4, 2, 2, 4, 4, 1, 2, 2, 3, 2, 2, 3, 3, 4, 3, 3, 2, 1, 0, 3, 1, 3, 0, 2, 4, 0, 3, 2, 1, 0, 4, 0, 4, 2, 4, 0, 0, 4, 0, 1, 4, 0, 0, 3, 3, 1, 2, 2, 0, 1, 2, 0, 3, 2, 1, 0, 4, 1, 0, 0, 0, 4, 2, 4, 1, 0, 2, 4, 3, 4, 2, 2, 4, 1, 1, 3, 0, 1, 3, 3, 2, 1, 4, 2, 0, 3, 1, 0, 2, 0, 0, 1, 1, 3, 4, 2, 0, 0, 2, 0, 4, 1, 2, 1, 3, 1, 4, 2, 3, 4, 2, 2, 0, 3, 3, 3, 1, 1, 4, 4, 2, 3, 2, 4, 0, 1, 3, 0, 4, 1, 1, 0, 4, 4, 2, 2, 1, 3, 3, 3, 1, 1, 1, 4, 4, 1, 2, 2, 3, 1, 3, 3, 1, 3, 1, 1, 1, 2, 3, 3, 1, 0, 4, 1, 1, 2, 4, 0, 1, 4, 2, 4, 4, 2, 3, 3, 1, 3, 1, 0, 2, 0, 2, 0, 1, 3, 0, 4, 1, 4, 4, 3, 2, 3, 4, 4, 4, 3, 2, 4, 1, 4, 2, 3, 0, 3, 2, 0, 1, 4, 2, 2, 0, 3, 4, 3, 0, 2, 2, 2, 0, 2, 4, 0, 1, 1, 1, 2, 2, 4, 4, 2, 2, 0, 2, 3, 2, 2, 1, 1, 1, 3, 3, 3, 1, 0, 3, 2, 2, 4, 3, 0, 4, 1, 1, 3, 3, 0, 4, 2, 1, 1, 2, 4, 1, 4, 1, 1, 1, 4, 2, 3, 4, 2, 1, 2, 2, 1, 2, 2, 0, 2, 4, 2, 4, 0, 3, 4, 1, 2, 3, 1, 1, 2, 4, 4, 1, 4, 1, 2, 1, 0, 0, 3, 4, 2, 3, 4, 2, 3, 3, 1, 1, 1, 4, 3, 1, 0, 0, 0, 1, 1, 3, 2, 2, 1, 1, 0, 0, 2, 2, 4, 0, 0, 3, 1, 2, 1, 4, 0, 3, 0, 0, 1, 2, 3, 3, 0, 2, 3, 3, 2, 2, 4, 1, 2, 2, 2, 3, 0, 4, 1, 1, 4, 0, 3, 3, 3, 0, 3, 4, 1, 1, 4, 3, 0, 0, 4]
pubkeycol625 = [1, 0, 2, 2, 3, 1, 3, 1, 4, 1, 4, 3, 0, 3, 1, 4, 0, 2, 1, 0, 3, 0, 1, 1, 1, 4, 4, 2, 4, 3, 1, 0, 1, 1, 0, 2, 1, 2, 2, 3, 2, 3, 1, 3, 4, 0, 2, 1, 4, 3, 4, 4, 2, 0, 0, 2, 4, 1, 1, 0, 3, 2, 3, 2, 1, 1, 0, 2, 4, 2, 1, 1, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 0, 4, 4, 1, 3, 4, 1, 0, 3, 4, 2, 4, 2, 3, 1, 1, 3, 1, 3, 0, 2, 1, 2, 1, 0, 0, 2, 3, 0, 0, 4, 1, 4, 2, 4, 4, 2, 3, 2, 4, 1, 4, 1, 1, 2, 1, 3, 0, 4, 3, 1, 0, 1, 0, 0, 4, 0, 0, 2, 3, 2, 1, 3, 3, 1, 0, 1, 2, 2, 4, 3, 1, 3, 2, 2, 4, 2, 2, 1, 3, 0, 1, 4, 0, 1, 4, 1, 3, 0, 4, 3, 3, 1, 1, 0, 3, 1, 3, 2, 0, 1, 2, 4, 2, 0, 3, 1, 3, 4, 4, 1, 0, 3, 4, 2, 4, 1, 0, 3, 3, 2, 4, 3, 0, 0, 1, 4, 3, 4, 1, 1, 2, 1, 4, 4, 2, 2, 3, 3, 0, 1, 3, 3, 0, 0, 0, 3, 2, 0, 3, 3, 0, 2, 2, 0, 2, 3, 2, 2, 2, 0, 0, 1, 1, 0, 3, 4, 4, 2, 4, 4, 2, 2, 3, 2, 3, 0, 0, 4, 4, 4, 4, 1, 4, 4, 0, 4, 1, 4, 2, 0, 0, 3, 3, 4, 1, 4, 3, 3, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 4, 0, 3, 0, 4, 1, 0, 1, 1, 0, 3, 2, 2, 3, 4, 2, 2, 2, 3, 4, 4, 3, 1, 2, 4, 1, 3, 2, 2, 4, 4, 1, 0, 0, 1, 0, 2, 1, 3, 3, 4, 2, 2, 3, 2, 1, 0, 0, 3, 4, 1, 1, 0, 1, 4, 2, 2, 2, 0, 3, 0, 2, 1, 4, 3, 1, 1, 2, 2, 4, 1, 2, 4, 4, 2, 1, 3, 0, 0, 0, 2, 2, 2, 2, 3, 2, 1, 3, 1, 3, 1, 2, 0, 3, 3, 2, 4, 3, 0, 1, 4, 2, 2, 1, 1, 4, 0]
pubkeycol626 = [0, 2, 1, 3, 3, 3, 4, 2, 3, 0, 1, 3, 4, 3, 2, 2, 0, 3, 4, 3, 0, 0, 0, 1, 2, 3, 1, 4, 4, 2, 2, 3, 3, 0, 3, 4, 2, 3, 4, 4, 4, 1, 2, 0, 0, 4, 2, 3, 3, 2, 0, 1, 1, 4, 1, 4, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 2, 3, 1, 3, 0, 0, 2, 0, 2, 1, 0, 3, 3, 3, 0, 3, 0, 2, 0, 4, 2, 1, 0, 3, 1, 4, 4, 1, 1, 1, 1, 2, 4, 3, 2, 2, 4, 3, 0, 1, 3, 3, 0, 2, 4, 3, 1, 2, 1, 1, 0, 3, 4, 0, 2, 1, 4, 3, 2, 2, 0, 0, 2, 0, 3, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 2, 3, 0, 4, 0, 0, 2, 0, 1, 0, 1, 3, 4, 2, 1, 2, 1, 0, 1, 2, 4, 1, 1, 3, 2, 3, 4, 1, 2, 4, 4, 4, 1, 2, 0, 4, 3, 0, 0, 3, 4, 2, 3, 2, 2, 4, 1, 0, 1, 1, 3, 4, 4, 1, 4, 4, 0, 0, 0, 2, 1, 4, 0, 4, 2, 4, 2, 0, 0, 4, 0, 2, 0, 4, 0, 3, 2, 0, 4, 1, 2, 1, 4, 1, 2, 2, 3, 4, 1, 0, 0, 2, 2, 4, 0, 2, 3, 0, 2, 4, 1, 2, 0, 2, 1, 0, 3, 3, 0, 2, 1, 0, 1, 0, 0, 3, 1, 0, 3, 0, 2, 1, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 0, 3, 3, 0, 4, 1, 3, 1, 0, 1, 3, 0, 4, 4, 1, 2, 1, 0, 2, 2, 4, 4, 1, 2, 4, 4, 4, 1, 4, 0, 2, 2, 2, 1, 0, 3, 4, 0, 4, 3, 2, 1, 3, 4, 3, 1, 0, 4, 0, 2, 1, 4, 1, 4, 4, 3, 4, 0, 3, 0, 1, 0, 4, 2, 1, 0, 0, 4, 2, 1, 1, 3, 4, 1, 3, 2, 3, 2, 1, 0, 4, 1, 1, 0, 0, 3, 3, 4, 1, 0, 2, 2, 3, 4, 3, 0, 1, 2, 0, 4, 2, 4, 4, 0, 0, 1, 3, 1, 1, 1, 0, 3, 2, 0, 2, 2, 1, 0, 3, 1]
pubkeycol627 = [2, 3, 1, 4, 1, 3, 1, 0, 2, 0, 1, 2, 2, 4, 1, 4, 4, 0, 3, 4, 4, 2, 0, 1, 0, 0, 4, 1, 4, 1, 3, 2, 0, 2, 0, 3, 0, 2, 4, 2, 4, 4, 4, 0, 0, 4, 4, 3, 3, 0, 3, 1, 3, 1, 2, 4, 2, 0, 4, 1, 1, 0, 3, 1, 2, 4, 0, 2, 1, 4, 3, 0, 1, 2, 2, 0, 0, 2, 4, 0, 2, 1, 3, 3, 0, 3, 1, 4, 1, 0, 1, 1, 0, 1, 2, 0, 0, 3, 0, 4, 0, 3, 3, 1, 4, 0, 4, 0, 3, 4, 4, 2, 4, 2, 1, 0, 0, 1, 2, 1, 0, 2, 4, 0, 4, 4, 0, 4, 3, 2, 2, 2, 2, 2, 4, 1, 3, 2, 3, 4, 0, 2, 1, 3, 2, 4, 4, 4, 0, 2, 3, 3, 2, 3, 1, 2, 4, 2, 0, 0, 2, 1, 1, 1, 2, 4, 0, 2, 0, 2, 4, 2, 3, 4, 0, 0, 2, 2, 3, 2, 3, 4, 2, 4, 2, 2, 4, 3, 3, 3, 1, 3, 2, 3, 4, 0, 1, 4, 4, 3, 4, 4, 0, 1, 2, 4, 4, 2, 0, 2, 1, 3, 4, 1, 1, 1, 2, 2, 2, 0, 2, 2, 4, 0, 2, 1, 0, 4, 2, 1, 0, 1, 3, 0, 2, 4, 2, 1, 1, 2, 3, 0, 1, 3, 0, 3, 0, 1, 1, 2, 3, 3, 4, 1, 2, 1, 4, 2, 3, 1, 3, 2, 0, 0, 0, 2, 3, 4, 4, 1, 1, 3, 1, 3, 3, 1, 4, 1, 4, 2, 1, 4, 0, 0, 4, 2, 1, 1, 1, 3, 0, 4, 2, 0, 2, 0, 0, 2, 1, 1, 1, 3, 0, 1, 4, 0, 4, 2, 2, 2, 0, 3, 1, 1, 3, 4, 1, 1, 4, 4, 0, 2, 1, 3, 4, 0, 2, 1, 2, 3, 3, 2, 3, 1, 4, 0, 0, 1, 1, 3, 1, 2, 3, 3, 0, 4, 2, 3, 4, 4, 2, 1, 1, 4, 2, 2, 1, 4, 4, 1, 4, 3, 2, 3, 2, 0, 3, 0, 2, 2, 4, 3, 2, 0, 2, 4, 2, 0, 1, 0, 3, 4, 3, 2, 0, 0, 0, 4, 1, 3, 0, 3, 2, 4, 3, 3, 1, 0, 2, 0]
pubkeycol628 = [0, 0, 1, 1, 2, 2, 0, 4, 3, 4, 2, 3, 4, 1, 0, 4, 3, 2, 3, 4, 1, 1, 3, 2, 0, 1, 1, 2, 4, 4, 1, 0, 2, 0, 1, 4, 4, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 1, 1, 3, 1, 0, 2, 4, 3, 0, 2, 0, 4, 0, 0, 4, 1, 4, 3, 1, 4, 4, 3, 1, 2, 4, 1, 1, 3, 0, 2, 0, 2, 0, 1, 0, 2, 3, 0, 4, 4, 3, 4, 2, 0, 4, 2, 0, 2, 1, 0, 1, 4, 0, 1, 2, 2, 1, 4, 4, 2, 0, 4, 2, 3, 2, 3, 1, 2, 4, 0, 1, 3, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 0, 0, 0, 3, 3, 2, 4, 1, 3, 3, 3, 2, 1, 3, 1, 3, 3, 2, 3, 1, 1, 2, 1, 0, 0, 1, 2, 1, 3, 0, 0, 4, 3, 3, 3, 2, 2, 4, 0, 2, 3, 3, 0, 4, 4, 3, 1, 1, 1, 2, 3, 4, 3, 1, 4, 2, 1, 1, 2, 2, 4, 3, 4, 4, 1, 1, 1, 0, 0, 3, 1, 3, 1, 0, 2, 3, 3, 2, 0, 2, 0, 2, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 4, 1, 3, 4, 0, 0, 0, 2, 3, 0, 1, 3, 0, 3, 0, 3, 0, 4, 4, 0, 0, 1, 4, 3, 0, 3, 3, 3, 1, 4, 1, 2, 3, 3, 3, 3, 2, 2, 4, 3, 2, 2, 1, 3, 3, 1, 1, 4, 3, 0, 3, 2, 1, 0, 4, 1, 4, 1, 2, 4, 2, 4, 3, 3, 2, 2, 0, 4, 4, 4, 0, 2, 3, 1, 2, 2, 2, 2, 3, 2, 4, 2, 1, 3, 1, 0, 2, 0, 4, 0, 4, 1, 3, 1, 0, 2, 2, 3, 1, 3, 2, 2, 0, 2, 3, 0, 4, 3, 4, 0, 1, 3, 0, 0, 1, 1, 1, 4, 2, 3, 0, 3, 2, 4, 2, 4, 2, 4, 4, 2, 0, 0, 1, 4, 4, 3, 2, 3, 2, 2, 2, 2, 1, 3, 3, 0, 1, 3, 2, 4, 4, 3, 1, 2, 1, 4, 3, 3, 0, 1, 3, 0, 4, 3, 4, 0, 2, 1, 3]
pubkeycol629 = [3, 1, 2, 2, 0, 3, 0, 2, 3, 2, 4, 4, 4, 1, 2, 0, 1, 1, 3, 2, 1, 2, 0, 3, 3, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 4, 0, 4, 1, 0, 0, 3, 2, 3, 2, 3, 3, 2, 4, 1, 2, 3, 4, 0, 2, 4, 0, 3, 3, 1, 4, 1, 0, 1, 4, 0, 3, 0, 2, 3, 1, 1, 1, 0, 3, 1, 3, 1, 2, 3, 0, 1, 1, 3, 4, 0, 3, 3, 1, 1, 2, 0, 0, 1, 4, 3, 3, 2, 0, 0, 1, 3, 1, 1, 0, 3, 2, 0, 2, 0, 3, 2, 1, 0, 3, 4, 1, 2, 0, 0, 1, 3, 3, 0, 3, 3, 4, 4, 0, 4, 1, 3, 0, 3, 1, 1, 4, 3, 3, 4, 4, 2, 2, 3, 1, 0, 2, 3, 4, 4, 0, 0, 0, 2, 3, 2, 0, 1, 1, 3, 1, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 1, 3, 2, 4, 3, 0, 4, 2, 2, 3, 3, 0, 2, 1, 0, 4, 1, 4, 2, 2, 0, 3, 3, 1, 0, 1, 4, 1, 2, 1, 4, 1, 1, 3, 2, 3, 0, 1, 4, 1, 4, 2, 3, 1, 4, 4, 4, 0, 1, 4, 1, 4, 4, 2, 1, 4, 2, 3, 3, 4, 0, 4, 3, 1, 0, 2, 2, 3, 4, 2, 1, 1, 4, 4, 1, 2, 1, 3, 1, 4, 3, 0, 2, 2, 2, 2, 1, 3, 2, 4, 1, 3, 2, 4, 0, 2, 0, 1, 3, 1, 0, 0, 2, 2, 2, 3, 0, 2, 3, 1, 2, 1, 1, 0, 4, 0, 2, 0, 1, 0, 0, 2, 4, 0, 2, 4, 4, 1, 3, 4, 2, 4, 4, 1, 4, 0, 3, 4, 4, 3, 3, 3, 4, 2, 2, 2, 0, 4, 2, 3, 3, 0, 4, 0, 3, 4, 3, 1, 2, 3, 1, 3, 4, 1, 0, 1, 4, 1, 4, 2, 3, 1, 3, 2, 1, 3, 3, 2, 4, 1, 0, 3, 2, 4, 4, 3, 1, 1, 0, 2, 0, 3, 3, 2, 3, 4, 4, 0, 4, 1, 0, 3, 4, 3, 2, 4, 1, 2, 1, 2, 1, 4, 0, 2, 0, 0, 0, 1, 4, 3, 4, 1, 0, 3, 2, 1, 3, 0, 2]
pubkeycol630 = [0, 1, 4, 2, 1, 0, 1, 2, 0, 4, 0, 2, 3, 4, 0, 1, 4, 3, 1, 2, 2, 0, 4, 1, 1, 4, 4, 4, 2, 2, 1, 1, 1, 0, 0, 4, 1, 2, 3, 4, 3, 3, 3, 1, 2, 3, 0, 0, 0, 2, 2, 4, 4, 3, 3, 3, 4, 3, 4, 2, 1, 3, 4, 2, 4, 2, 4, 3, 1, 0, 1, 0, 1, 0, 4, 4, 3, 2, 0, 0, 4, 3, 4, 0, 2, 4, 0, 3, 2, 1, 4, 3, 0, 2, 4, 3, 0, 0, 4, 2, 1, 1, 2, 0, 4, 0, 0, 2, 2, 3, 2, 0, 3, 0, 2, 0, 3, 2, 0, 4, 2, 2, 4, 0, 4, 0, 4, 4, 3, 3, 1, 1, 2, 0, 0, 0, 1, 1, 4, 3, 2, 3, 4, 3, 2, 2, 4, 2, 4, 2, 4, 4, 3, 3, 4, 4, 0, 3, 2, 3, 3, 2, 1, 0, 2, 4, 2, 2, 3, 3, 0, 0, 0, 1, 1, 2, 4, 4, 2, 3, 0, 4, 1, 0, 0, 3, 4, 1, 2, 1, 4, 0, 4, 4, 3, 2, 1, 0, 2, 1, 0, 2, 1, 2, 3, 3, 3, 0, 1, 3, 0, 0, 1, 0, 2, 3, 4, 2, 2, 4, 3, 1, 1, 3, 0, 3, 4, 3, 1, 0, 1, 2, 3, 1, 1, 3, 4, 2, 2, 2, 4, 3, 1, 1, 4, 1, 3, 3, 0, 1, 3, 0, 1, 2, 0, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 0, 1, 0, 2, 1, 4, 1, 3, 0, 3, 1, 2, 1, 4, 3, 3, 1, 4, 0, 0, 2, 0, 4, 0, 4, 1, 4, 4, 0, 3, 3, 2, 0, 1, 2, 3, 1, 1, 1, 2, 0, 3, 0, 3, 3, 0, 1, 0, 4, 4, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 3, 3, 4, 2, 2, 4, 4, 2, 3, 4, 1, 3, 4, 3, 1, 4, 2, 4, 4, 3, 2, 0, 2, 0, 0, 2, 1, 3, 4, 3, 3, 4, 0, 4, 1, 3, 4, 0, 2, 1, 3, 3, 3, 4, 3, 4, 4, 3, 0, 3, 3, 3, 4, 2, 1, 1, 0, 3, 4, 4, 2, 3, 1, 3, 1, 4, 1, 0, 3, 3, 0, 3, 4]
pubkeycol631 = [1, 1, 3, 1, 0, 0, 1, 0, 3, 4, 3, 0, 2, 1, 2, 0, 1, 4, 2, 3, 3, 3, 3, 2, 0, 3, 2, 2, 3, 3, 0, 4, 3, 0, 3, 3, 1, 0, 3, 4, 2, 0, 2, 0, 2, 0, 3, 3, 4, 2, 1, 2, 4, 3, 2, 1, 1, 3, 3, 3, 2, 4, 2, 4, 1, 4, 3, 3, 2, 2, 3, 4, 4, 0, 1, 2, 2, 4, 3, 2, 1, 4, 0, 0, 2, 2, 2, 3, 2, 0, 4, 0, 2, 4, 4, 3, 0, 0, 0, 1, 2, 3, 1, 0, 4, 0, 1, 4, 0, 3, 3, 0, 4, 4, 2, 4, 4, 2, 2, 1, 4, 4, 2, 1, 3, 4, 1, 2, 1, 2, 1, 1, 1, 3, 3, 1, 1, 3, 0, 4, 2, 4, 1, 0, 1, 3, 3, 0, 3, 4, 3, 1, 0, 2, 0, 2, 0, 0, 2, 1, 4, 4, 2, 2, 1, 0, 0, 4, 3, 0, 0, 0, 2, 0, 4, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 4, 1, 2, 2, 0, 4, 2, 4, 4, 4, 2, 0, 2, 3, 4, 4, 0, 2, 1, 2, 3, 3, 0, 2, 3, 0, 0, 4, 1, 4, 4, 3, 4, 3, 2, 3, 3, 2, 1, 2, 0, 2, 2, 2, 0, 2, 3, 3, 3, 1, 1, 0, 0, 1, 1, 3, 1, 3, 0, 4, 4, 0, 0, 1, 4, 2, 4, 1, 3, 4, 0, 3, 4, 3, 4, 2, 1, 3, 2, 0, 4, 2, 4, 0, 1, 2, 0, 4, 2, 1, 1, 4, 2, 1, 0, 1, 3, 4, 4, 3, 0, 2, 4, 2, 3, 0, 0, 0, 2, 3, 4, 4, 1, 1, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 2, 3, 0, 3, 0, 0, 4, 2, 3, 0, 3, 1, 2, 1, 0, 1, 2, 4, 1, 4, 1, 4, 3, 1, 1, 2, 4, 3, 0, 1, 4, 4, 4, 1, 3, 2, 3, 0, 3, 1, 4, 0, 4, 3, 0, 3, 2, 3, 3, 3, 3, 3, 2, 0, 3, 2, 0, 0, 0, 3, 3, 1, 2, 4, 1, 0, 1, 4, 4, 2, 3, 3, 4, 4, 4, 1, 3, 4, 0, 3, 3, 4, 3, 0, 0]
pubkeycol632 = [4, 0, 0, 2, 3, 1, 3, 1, 0, 0, 0, 3, 0, 4, 3, 1, 4, 4, 1, 2, 3, 1, 0, 3, 0, 4, 2, 0, 3, 2, 1, 0, 3, 4, 1, 3, 2, 4, 0, 0, 2, 1, 2, 2, 0, 4, 2, 2, 2, 2, 4, 3, 4, 2, 0, 0, 3, 3, 3, 2, 1, 1, 4, 0, 1, 0, 3, 2, 2, 0, 3, 2, 2, 2, 4, 4, 0, 4, 4, 1, 1, 0, 3, 4, 2, 0, 4, 1, 2, 2, 0, 3, 3, 3, 0, 2, 0, 3, 1, 4, 2, 3, 0, 2, 1, 4, 4, 1, 4, 3, 2, 2, 1, 4, 4, 0, 3, 0, 0, 0, 1, 2, 3, 1, 4, 2, 0, 3, 0, 4, 3, 0, 4, 4, 3, 0, 0, 4, 4, 3, 0, 4, 2, 4, 0, 1, 0, 1, 0, 1, 3, 3, 1, 1, 1, 4, 4, 2, 4, 3, 2, 1, 3, 1, 1, 4, 1, 1, 3, 1, 0, 4, 0, 1, 4, 3, 3, 2, 4, 1, 2, 4, 4, 0, 3, 4, 0, 4, 0, 2, 2, 2, 1, 2, 4, 1, 0, 4, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 4, 2, 0, 1, 3, 4, 4, 1, 3, 3, 1, 3, 0, 2, 2, 4, 4, 0, 4, 2, 0, 0, 2, 4, 4, 4, 0, 2, 4, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 4, 4, 4, 0, 2, 3, 2, 3, 2, 0, 3, 3, 3, 1, 2, 1, 0, 3, 1, 2, 4, 2, 4, 1, 2, 4, 3, 3, 2, 0, 1, 2, 0, 1, 2, 0, 4, 0, 2, 3, 2, 3, 0, 2, 3, 0, 1, 1, 0, 4, 3, 2, 1, 0, 1, 0, 2, 2, 1, 3, 3, 2, 4, 2, 2, 0, 0, 1, 0, 4, 2, 3, 1, 2, 4, 3, 2, 4, 0, 4, 4, 2, 0, 1, 1, 0, 2, 4, 1, 4, 2, 4, 4, 3, 1, 0, 1, 2, 4, 3, 3, 3, 1, 4, 4, 4, 0, 4, 3, 0, 0, 1, 3, 2, 1, 4, 3, 4, 0, 4, 0, 3, 0, 1, 0, 0, 4, 2, 0, 4, 3, 0, 0, 3, 2, 3, 3, 4, 3, 4, 3, 1, 1, 1, 4, 4, 2, 0, 3, 3, 2]
pubkeycol633 = [1, 2, 3, 2, 1, 2, 1, 0, 1, 4, 2, 0, 0, 3, 2, 3, 0, 3, 2, 4, 3, 4, 2, 0, 2, 3, 0, 4, 1, 4, 0, 2, 4, 3, 1, 0, 3, 1, 4, 4, 4, 4, 4, 0, 1, 3, 1, 0, 4, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 3, 3, 0, 4, 0, 3, 3, 1, 2, 3, 3, 0, 2, 4, 3, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 4, 3, 3, 2, 4, 4, 1, 1, 4, 3, 4, 0, 2, 2, 4, 2, 1, 3, 0, 3, 3, 3, 1, 4, 0, 4, 4, 1, 1, 4, 3, 3, 2, 0, 4, 1, 3, 4, 0, 2, 4, 2, 3, 0, 3, 1, 4, 4, 1, 3, 4, 2, 0, 2, 0, 1, 3, 2, 2, 4, 2, 1, 0, 2, 3, 1, 1, 1, 0, 2, 3, 3, 0, 4, 1, 0, 2, 3, 3, 3, 2, 4, 3, 4, 0, 0, 1, 4, 0, 0, 4, 0, 4, 0, 1, 2, 3, 4, 2, 0, 3, 0, 1, 0, 1, 1, 4, 4, 4, 3, 2, 0, 1, 0, 2, 4, 4, 4, 3, 1, 4, 0, 4, 2, 0, 4, 2, 0, 1, 2, 3, 0, 1, 0, 4, 2, 2, 3, 4, 3, 0, 2, 4, 4, 4, 0, 0, 3, 1, 3, 0, 3, 1, 4, 2, 0, 4, 2, 1, 4, 2, 0, 1, 4, 4, 3, 0, 2, 1, 4, 3, 3, 2, 2, 2, 2, 2, 1, 4, 3, 2, 3, 0, 0, 1, 1, 4, 1, 0, 1, 1, 2, 1, 3, 4, 1, 1, 2, 3, 2, 4, 2, 4, 4, 2, 0, 0, 3, 4, 2, 2, 0, 1, 2, 0, 0, 3, 4, 2, 0, 0, 2, 1, 3, 1, 1, 3, 4, 0, 1, 3, 3, 3, 2, 4, 4, 0, 0, 1, 4, 0, 2, 1, 1, 0, 1, 4, 2, 3, 3, 2, 3, 2, 4, 0, 1, 3, 2, 4, 3, 2, 2, 2, 3, 3, 2, 1, 1, 4, 1, 0, 4, 4, 4, 0, 4, 4, 1, 3, 1, 2, 0, 4, 1, 3, 0, 0, 4, 4, 4, 3, 3, 4, 3, 4, 1, 1, 1, 4, 1, 0, 3, 4, 0, 4, 2, 1, 3, 1, 1, 0, 3, 0, 3, 0]
pubkeycol634 = [0, 2, 1, 4, 2, 1, 4, 2, 4, 1, 4, 0, 4, 0, 2, 0, 4, 4, 0, 1, 4, 3, 3, 4, 1, 3, 2, 2, 1, 3, 2, 0, 1, 3, 3, 3, 0, 2, 4, 3, 1, 4, 3, 4, 3, 3, 4, 1, 0, 3, 4, 4, 1, 0, 1, 4, 0, 3, 2, 4, 3, 0, 1, 4, 4, 3, 1, 1, 2, 3, 1, 0, 2, 2, 3, 0, 1, 2, 2, 0, 2, 0, 1, 0, 3, 4, 2, 2, 0, 3, 0, 0, 4, 0, 2, 3, 2, 0, 2, 3, 2, 4, 3, 0, 3, 2, 1, 3, 0, 0, 1, 0, 0, 0, 3, 4, 3, 2, 0, 4, 1, 0, 4, 1, 4, 3, 1, 3, 4, 3, 2, 1, 4, 3, 2, 4, 1, 2, 0, 3, 2, 1, 1, 3, 2, 1, 3, 2, 1, 0, 3, 0, 4, 3, 1, 2, 4, 1, 2, 2, 2, 0, 4, 0, 0, 3, 4, 4, 0, 1, 4, 2, 3, 1, 3, 4, 1, 1, 0, 4, 4, 4, 0, 3, 3, 4, 3, 3, 3, 2, 1, 3, 0, 4, 0, 0, 0, 2, 0, 1, 3, 2, 4, 2, 4, 1, 2, 1, 2, 3, 4, 4, 2, 2, 0, 2, 4, 1, 4, 3, 4, 0, 1, 3, 0, 3, 1, 1, 2, 1, 4, 2, 1, 3, 0, 1, 4, 4, 3, 3, 0, 4, 3, 2, 1, 1, 1, 3, 4, 2, 0, 3, 3, 2, 3, 0, 3, 0, 1, 1, 0, 4, 2, 3, 3, 2, 3, 4, 2, 4, 1, 0, 1, 2, 2, 4, 0, 0, 2, 0, 3, 1, 1, 1, 4, 4, 1, 1, 0, 2, 4, 1, 0, 1, 4, 2, 3, 2, 0, 2, 4, 1, 4, 1, 3, 1, 0, 3, 0, 2, 1, 1, 1, 2, 3, 4, 1, 0, 1, 0, 0, 3, 3, 3, 2, 3, 2, 1, 4, 1, 3, 1, 3, 4, 0, 0, 4, 4, 2, 1, 0, 1, 0, 3, 3, 4, 2, 2, 2, 2, 0, 0, 4, 3, 4, 0, 4, 1, 1, 2, 4, 3, 0, 1, 2, 1, 2, 1, 1, 3, 4, 4, 4, 4, 2, 4, 4, 4, 2, 2, 2, 4, 0, 0, 0, 1, 1, 3, 2, 2, 1, 0, 3, 0, 2, 2, 0, 2, 3, 4]
pubkeycol635 = [0, 1, 3, 3, 0, 0, 4, 0, 4, 3, 3, 0, 4, 2, 2, 1, 0, 3, 1, 1, 3, 4, 2, 0, 1, 2, 0, 4, 1, 2, 0, 4, 1, 1, 4, 1, 2, 4, 2, 4, 2, 4, 4, 1, 2, 3, 0, 3, 3, 2, 3, 0, 1, 2, 0, 2, 0, 3, 0, 2, 1, 0, 0, 4, 3, 1, 2, 3, 0, 4, 3, 2, 3, 0, 4, 3, 4, 4, 0, 4, 1, 2, 4, 4, 3, 2, 2, 3, 4, 4, 0, 3, 4, 4, 3, 1, 2, 2, 1, 1, 0, 0, 4, 1, 4, 0, 4, 2, 0, 1, 1, 3, 4, 0, 3, 1, 1, 2, 3, 2, 3, 0, 2, 1, 0, 3, 0, 2, 1, 2, 3, 0, 0, 0, 4, 4, 3, 2, 3, 1, 3, 4, 3, 0, 1, 3, 0, 3, 2, 1, 1, 4, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 3, 3, 4, 1, 1, 4, 4, 0, 2, 2, 4, 1, 3, 2, 0, 1, 0, 1, 4, 0, 0, 3, 0, 2, 1, 3, 3, 0, 1, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 4, 2, 4, 4, 2, 4, 1, 3, 4, 2, 2, 0, 3, 3, 3, 3, 4, 4, 0, 0, 3, 2, 0, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 0, 4, 0, 4, 4, 4, 4, 0, 3, 2, 4, 2, 3, 0, 0, 4, 1, 0, 4, 3, 2, 4, 2, 1, 2, 1, 4, 3, 3, 3, 1, 2, 0, 0, 0, 3, 1, 0, 1, 3, 4, 4, 2, 2, 0, 4, 1, 4, 4, 4, 2, 0, 4, 3, 3, 4, 4, 4, 3, 0, 2, 1, 2, 4, 1, 1, 4, 4, 3, 2, 4, 2, 4, 3, 2, 1, 0, 3, 4, 0, 2, 4, 4, 4, 0, 2, 4, 4, 4, 1, 2, 3, 4, 2, 3, 3, 0, 1, 4, 3, 3, 0, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 0, 4, 2, 2, 1, 3, 4, 0, 4, 0, 4, 3, 1, 1, 1, 0, 4, 4, 0, 2, 1, 1, 0, 1, 1, 3, 0, 4, 3, 1, 1, 4, 1, 1, 3, 0, 0, 4, 0]
pubkeycol636 = [3, 2, 1, 2, 0, 2, 0, 1, 1, 3, 3, 0, 0, 3, 1, 0, 2, 4, 2, 2, 3, 0, 0, 0, 2, 0, 1, 1, 3, 2, 3, 1, 0, 0, 2, 4, 3, 1, 2, 2, 0, 3, 0, 4, 3, 3, 3, 3, 4, 4, 0, 4, 1, 1, 4, 1, 4, 2, 0, 1, 3, 2, 2, 2, 3, 1, 3, 2, 1, 4, 1, 3, 3, 3, 1, 3, 4, 2, 2, 2, 0, 4, 3, 4, 4, 1, 0, 2, 4, 1, 3, 1, 4, 0, 2, 2, 2, 4, 0, 0, 2, 1, 3, 4, 1, 3, 1, 0, 2, 1, 3, 1, 0, 4, 1, 2, 4, 1, 4, 1, 4, 2, 0, 0, 1, 2, 3, 4, 4, 0, 3, 4, 3, 2, 0, 1, 1, 2, 3, 2, 2, 1, 3, 2, 0, 1, 0, 4, 3, 2, 3, 2, 2, 2, 2, 3, 1, 2, 1, 4, 4, 2, 4, 4, 2, 0, 4, 1, 1, 1, 1, 3, 4, 3, 3, 4, 1, 0, 3, 0, 0, 1, 1, 4, 2, 1, 0, 4, 2, 4, 4, 2, 4, 0, 4, 3, 2, 2, 3, 2, 3, 3, 1, 1, 2, 0, 4, 3, 3, 4, 1, 4, 3, 2, 1, 4, 4, 1, 4, 0, 2, 1, 2, 3, 4, 4, 3, 0, 3, 0, 1, 4, 2, 0, 2, 2, 3, 3, 3, 4, 4, 4, 2, 3, 4, 4, 1, 4, 0, 3, 0, 2, 4, 1, 2, 3, 1, 2, 1, 4, 3, 0, 4, 0, 4, 4, 4, 1, 2, 3, 2, 0, 1, 1, 2, 2, 4, 2, 0, 2, 3, 2, 0, 3, 3, 4, 0, 0, 4, 0, 2, 0, 4, 1, 1, 0, 2, 1, 4, 4, 1, 1, 1, 2, 0, 1, 1, 4, 1, 3, 1, 1, 1, 3, 2, 3, 2, 4, 3, 2, 0, 2, 1, 0, 1, 4, 4, 1, 0, 2, 0, 0, 1, 0, 3, 0, 3, 4, 4, 3, 1, 3, 3, 4, 4, 2, 2, 2, 1, 3, 0, 2, 3, 4, 0, 4, 1, 3, 3, 1, 2, 3, 2, 2, 0, 2, 4, 3, 1, 4, 3, 1, 0, 1, 1, 1, 4, 4, 2, 1, 0, 3, 3, 4, 2, 0, 3, 4, 1, 0, 4, 0, 1, 1, 1, 0, 3, 0, 3, 3]
pubkeycol637 = [3, 4, 1, 1, 3, 0, 4, 3, 2, 0, 1, 1, 4, 3, 2, 4, 4, 1, 2, 4, 2, 4, 2, 1, 1, 2, 3, 4, 1, 2, 4, 0, 1, 2, 4, 3, 2, 2, 2, 2, 1, 0, 2, 4, 1, 3, 0, 3, 2, 3, 3, 0, 0, 4, 2, 0, 0, 4, 2, 3, 1, 1, 2, 3, 1, 0, 3, 0, 3, 3, 0, 4, 1, 2, 4, 2, 3, 2, 4, 4, 4, 0, 4, 3, 3, 3, 2, 1, 1, 4, 1, 1, 0, 0, 3, 4, 3, 1, 4, 1, 3, 3, 0, 4, 0, 0, 2, 3, 0, 4, 1, 2, 2, 2, 1, 2, 4, 2, 2, 4, 3, 1, 3, 0, 3, 1, 4, 1, 0, 2, 2, 0, 4, 2, 1, 4, 4, 3, 1, 2, 3, 2, 4, 3, 1, 3, 1, 2, 1, 1, 1, 0, 1, 3, 2, 4, 2, 3, 3, 2, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 4, 3, 4, 4, 2, 4, 4, 0, 2, 1, 2, 1, 1, 2, 4, 3, 4, 3, 4, 1, 2, 3, 0, 1, 3, 4, 3, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 3, 3, 0, 4, 2, 2, 4, 2, 3, 0, 2, 1, 1, 2, 1, 3, 4, 1, 4, 2, 2, 0, 3, 1, 0, 4, 1, 2, 0, 2, 0, 2, 0, 4, 0, 2, 4, 0, 0, 1, 4, 2, 3, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 1, 0, 1, 0, 1, 4, 4, 0, 0, 2, 0, 1, 2, 2, 4, 1, 2, 0, 3, 4, 2, 1, 0, 1, 3, 3, 4, 3, 4, 0, 2, 4, 3, 2, 4, 0, 4, 0, 2, 2, 0, 3, 1, 3, 1, 1, 2, 2, 1, 2, 4, 0, 1, 2, 2, 0, 3, 0, 2, 3, 4, 2, 0, 3, 1, 1, 3, 2, 1, 2, 3, 1, 2, 4, 4, 4, 4, 3, 2, 2, 3, 2, 3, 4, 0, 4, 2, 2, 1, 3, 3, 1, 0, 0, 4, 4, 1, 2, 1, 1, 1, 2, 4, 3, 4, 3, 3, 3, 1, 0, 4, 1, 1, 1, 1, 4, 0, 1, 2, 2, 2, 1, 3, 3, 2, 3, 0, 4, 2, 0, 4, 0, 3, 0, 2]
pubkeycol638 = [2, 4, 2, 4, 3, 0, 1, 1, 0, 3, 3, 3, 1, 4, 0, 3, 2, 2, 1, 3, 1, 2, 1, 0, 4, 3, 2, 0, 3, 4, 3, 1, 3, 4, 4, 4, 0, 4, 4, 4, 1, 4, 3, 1, 4, 2, 0, 3, 1, 0, 4, 0, 4, 0, 0, 2, 1, 0, 0, 4, 1, 1, 0, 3, 3, 4, 1, 3, 0, 4, 4, 1, 4, 0, 0, 4, 4, 0, 3, 1, 3, 4, 4, 3, 1, 0, 3, 3, 3, 1, 3, 2, 0, 2, 1, 0, 0, 2, 0, 0, 4, 3, 3, 1, 3, 0, 1, 3, 1, 3, 4, 4, 2, 1, 0, 1, 4, 2, 2, 2, 0, 4, 4, 3, 1, 0, 0, 0, 0, 4, 0, 1, 0, 4, 3, 4, 4, 0, 0, 1, 4, 0, 4, 3, 3, 3, 4, 0, 2, 0, 3, 1, 2, 1, 3, 4, 4, 0, 2, 2, 0, 0, 3, 0, 1, 3, 1, 3, 0, 3, 1, 1, 2, 1, 0, 3, 3, 3, 1, 3, 2, 0, 1, 4, 3, 0, 3, 0, 0, 0, 1, 3, 1, 2, 4, 4, 0, 0, 0, 3, 2, 3, 2, 3, 3, 1, 2, 4, 4, 4, 2, 3, 4, 2, 4, 2, 0, 0, 3, 4, 4, 2, 0, 0, 0, 4, 2, 2, 4, 1, 0, 0, 3, 0, 0, 3, 0, 2, 3, 0, 3, 3, 2, 4, 3, 1, 4, 3, 2, 1, 3, 3, 4, 4, 2, 0, 2, 0, 4, 2, 2, 2, 4, 4, 4, 1, 2, 0, 3, 0, 3, 3, 4, 2, 4, 4, 4, 0, 1, 2, 0, 3, 2, 2, 3, 0, 3, 1, 3, 0, 2, 3, 2, 0, 1, 2, 4, 0, 4, 4, 2, 4, 4, 3, 0, 3, 0, 2, 1, 2, 4, 0, 3, 3, 0, 1, 4, 0, 4, 2, 1, 1, 3, 3, 4, 1, 4, 2, 3, 1, 2, 1, 1, 1, 0, 3, 1, 1, 2, 2, 0, 1, 1, 1, 3, 4, 4, 1, 4, 2, 4, 2, 1, 2, 3, 1, 4, 1, 4, 0, 4, 0, 1, 3, 4, 1, 4, 0, 2, 4, 4, 3, 4, 4, 0, 4, 4, 4, 1, 1, 2, 1, 1, 0, 2, 4, 2, 3, 3, 1, 4, 2, 0, 4, 4, 0, 0, 4, 1, 3]
pubkeycol639 = [1, 2, 3, 0, 1, 3, 1, 1, 2, 3, 4, 1, 4, 3, 4, 3, 2, 3, 0, 3, 0, 3, 3, 3, 3, 1, 3, 2, 0, 3, 1, 0, 2, 3, 0, 1, 2, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 4, 3, 1, 3, 2, 1, 3, 4, 1, 0, 1, 2, 0, 3, 2, 3, 4, 4, 3, 0, 3, 1, 2, 0, 4, 3, 3, 4, 2, 1, 4, 2, 4, 0, 2, 4, 1, 3, 3, 4, 1, 1, 2, 1, 3, 2, 2, 2, 2, 0, 3, 2, 1, 0, 2, 3, 0, 3, 1, 0, 2, 0, 0, 1, 4, 1, 0, 2, 0, 1, 3, 3, 3, 3, 4, 3, 4, 2, 4, 1, 2, 3, 3, 2, 1, 3, 3, 4, 4, 3, 1, 4, 0, 0, 0, 0, 4, 3, 2, 4, 2, 3, 4, 3, 4, 3, 2, 4, 3, 0, 1, 4, 1, 3, 4, 3, 1, 0, 4, 0, 1, 4, 4, 0, 4, 1, 4, 3, 4, 0, 0, 0, 2, 4, 4, 3, 3, 0, 0, 2, 0, 2, 2, 1, 4, 0, 1, 1, 3, 2, 2, 1, 3, 2, 1, 1, 0, 1, 3, 0, 0, 3, 1, 2, 2, 3, 1, 2, 0, 3, 0, 1, 2, 4, 2, 1, 2, 4, 0, 0, 3, 1, 2, 2, 2, 1, 0, 4, 0, 2, 0, 4, 3, 1, 4, 4, 4, 1, 4, 1, 0, 0, 0, 2, 3, 3, 4, 0, 2, 4, 4, 3, 4, 1, 3, 3, 4, 0, 1, 1, 0, 4, 1, 2, 3, 3, 1, 4, 1, 0, 2, 1, 1, 2, 2, 0, 4, 1, 0, 0, 0, 3, 2, 4, 0, 3, 0, 2, 4, 2, 1, 4, 3, 2, 1, 2, 4, 0, 1, 1, 1, 4, 2, 0, 2, 3, 1, 1, 0, 3, 2, 4, 1, 0, 3, 2, 1, 0, 1, 2, 4, 2, 4, 2, 4, 1, 1, 2, 3, 2, 0, 4, 4, 4, 2, 1, 4, 2, 4, 2, 2, 1, 3, 2, 4, 3, 3, 2, 3, 3, 2, 4, 4, 2, 3, 0, 0, 3, 4, 2, 4, 4, 1, 0, 2, 1, 3, 1, 3, 4, 4, 0, 1, 3, 3, 4, 2, 0, 0, 2, 3, 2, 3, 4, 2, 2, 4, 3, 0, 2, 1, 3, 0]
pubkeycol640 = [1, 1, 1, 0, 2, 0, 0, 4, 3, 4, 4, 3, 4, 2, 1, 4, 2, 0, 4, 3, 3, 1, 3, 2, 2, 0, 1, 2, 3, 4, 1, 4, 3, 0, 4, 1, 0, 4, 2, 0, 1, 2, 1, 4, 3, 3, 0, 3, 2, 1, 3, 1, 1, 1, 4, 3, 4, 2, 4, 4, 1, 2, 0, 3, 3, 4, 0, 1, 2, 4, 1, 2, 3, 0, 2, 2, 2, 1, 4, 0, 3, 2, 1, 4, 3, 4, 1, 0, 1, 4, 1, 3, 3, 1, 1, 4, 3, 1, 2, 1, 1, 3, 4, 2, 4, 4, 1, 0, 4, 1, 3, 1, 3, 3, 1, 4, 0, 3, 4, 4, 4, 0, 1, 3, 2, 2, 1, 0, 3, 2, 3, 0, 4, 1, 3, 0, 4, 1, 3, 3, 4, 4, 0, 4, 4, 3, 3, 0, 4, 2, 4, 3, 1, 4, 4, 1, 0, 2, 2, 4, 2, 1, 3, 1, 2, 2, 3, 3, 0, 3, 1, 0, 1, 0, 4, 0, 1, 3, 0, 3, 0, 3, 0, 4, 3, 1, 0, 3, 4, 2, 2, 2, 4, 4, 1, 4, 4, 0, 0, 2, 2, 3, 0, 1, 1, 3, 3, 4, 1, 2, 0, 3, 1, 2, 4, 4, 0, 3, 1, 0, 0, 4, 1, 3, 2, 2, 4, 1, 2, 3, 4, 1, 1, 4, 4, 1, 4, 1, 3, 2, 2, 4, 1, 1, 2, 0, 4, 4, 3, 0, 4, 0, 1, 1, 1, 3, 2, 4, 0, 1, 1, 1, 2, 0, 0, 4, 3, 0, 4, 4, 4, 4, 1, 4, 2, 1, 4, 3, 4, 1, 3, 1, 4, 0, 0, 3, 0, 2, 1, 0, 0, 0, 2, 3, 0, 1, 4, 1, 1, 4, 1, 4, 2, 2, 1, 2, 1, 1, 4, 1, 3, 1, 3, 4, 0, 4, 3, 2, 4, 0, 4, 4, 1, 3, 0, 0, 1, 1, 2, 4, 1, 0, 1, 3, 2, 1, 0, 2, 3, 3, 3, 2, 4, 3, 0, 4, 0, 0, 2, 1, 3, 3, 4, 4, 4, 4, 0, 4, 2, 4, 4, 1, 3, 2, 3, 3, 4, 1, 0, 2, 2, 0, 1, 1, 4, 2, 3, 0, 3, 1, 0, 1, 3, 2, 0, 4, 3, 2, 2, 4, 3, 1, 0, 3, 1, 1, 1, 0, 1, 1]
pubkeycol641 = [3, 3, 2, 3, 0, 1, 4, 4, 2, 0, 0, 0, 0, 3, 4, 3, 2, 0, 2, 0, 4, 0, 2, 0, 0, 0, 3, 3, 1, 0, 0, 3, 0, 3, 3, 1, 1, 0, 3, 2, 4, 0, 0, 0, 4, 2, 2, 2, 3, 3, 3, 1, 4, 4, 4, 0, 1, 4, 4, 0, 4, 2, 3, 0, 1, 4, 3, 2, 1, 4, 1, 4, 4, 0, 4, 0, 4, 3, 4, 4, 3, 0, 1, 3, 0, 2, 4, 2, 4, 2, 0, 0, 4, 4, 0, 2, 1, 2, 2, 4, 2, 1, 2, 4, 0, 0, 2, 4, 4, 0, 0, 2, 3, 0, 1, 1, 4, 0, 4, 4, 3, 1, 2, 2, 2, 3, 2, 4, 1, 1, 2, 2, 1, 3, 1, 3, 3, 0, 1, 2, 3, 0, 3, 3, 1, 3, 4, 0, 2, 3, 3, 1, 2, 0, 2, 1, 2, 3, 4, 0, 0, 2, 4, 4, 3, 1, 4, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 3, 0, 2, 1, 2, 4, 2, 4, 0, 3, 4, 2, 1, 1, 4, 3, 1, 2, 1, 2, 3, 4, 2, 4, 3, 2, 4, 2, 4, 4, 0, 0, 4, 4, 4, 0, 2, 0, 4, 3, 3, 1, 3, 2, 3, 4, 1, 2, 4, 0, 1, 4, 1, 4, 3, 1, 0, 1, 3, 2, 2, 2, 1, 1, 2, 1, 1, 3, 0, 3, 1, 2, 0, 2, 3, 4, 4, 1, 4, 2, 2, 4, 2, 1, 0, 2, 4, 4, 2, 1, 2, 3, 2, 2, 0, 2, 2, 1, 0, 4, 3, 1, 4, 3, 4, 0, 1, 1, 0, 4, 1, 1, 4, 1, 4, 2, 3, 2, 1, 1, 0, 4, 1, 1, 2, 3, 0, 4, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 4, 1, 3, 3, 2, 2, 4, 0, 1, 0, 4, 3, 1, 3, 4, 4, 4, 4, 0, 0, 3, 3, 4, 3, 4, 1, 4, 1, 4, 2, 1, 1, 4, 3, 0, 4, 2, 3, 4, 0, 4, 3, 2, 2, 2, 4, 3, 2, 4, 3, 2, 2, 2, 3, 4, 3, 4, 3, 1, 4, 3, 0, 2, 1, 4, 1, 0, 4, 3, 3, 4, 2, 3, 2, 3, 2, 2, 2, 4, 0, 0, 0, 1]
pubkeycol642 = [3, 4, 0, 1, 4, 0, 2, 1, 0, 4, 0, 2, 1, 1, 0, 2, 4, 1, 4, 2, 2, 0, 3, 3, 2, 0, 4, 4, 1, 1, 1, 0, 1, 0, 4, 4, 3, 3, 1, 3, 1, 3, 3, 2, 1, 4, 0, 3, 0, 2, 4, 4, 0, 4, 1, 1, 4, 3, 1, 2, 2, 0, 2, 0, 1, 2, 4, 1, 1, 3, 1, 0, 4, 1, 4, 4, 0, 0, 3, 3, 2, 2, 2, 0, 3, 1, 2, 4, 3, 4, 1, 3, 4, 3, 3, 1, 0, 3, 4, 2, 0, 1, 3, 4, 3, 3, 2, 4, 4, 0, 2, 1, 4, 4, 2, 3, 1, 3, 0, 0, 3, 3, 2, 4, 4, 2, 4, 0, 0, 1, 1, 4, 1, 3, 3, 1, 4, 4, 2, 4, 3, 2, 0, 4, 3, 3, 3, 4, 2, 2, 0, 2, 3, 3, 3, 3, 2, 4, 1, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 2, 4, 4, 1, 3, 1, 0, 1, 4, 2, 0, 0, 2, 2, 0, 1, 3, 3, 0, 2, 4, 2, 1, 1, 0, 4, 4, 1, 0, 4, 1, 0, 2, 1, 4, 1, 0, 4, 3, 1, 2, 1, 1, 2, 1, 1, 4, 2, 4, 1, 2, 3, 4, 4, 1, 3, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 1, 3, 0, 4, 1, 4, 2, 4, 3, 1, 4, 3, 1, 4, 4, 1, 3, 2, 1, 3, 4, 4, 4, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 0, 3, 1, 0, 0, 3, 1, 3, 1, 4, 1, 3, 0, 0, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 0, 3, 2, 0, 3, 4, 2, 4, 3, 0, 4, 1, 3, 3, 3, 2, 3, 1, 4, 0, 3, 1, 3, 0, 2, 2, 0, 3, 4, 0, 2, 2, 3, 0, 2, 3, 3, 3, 1, 3, 4, 2, 2, 1, 1, 2, 1, 4, 3, 4, 4, 2, 1, 3, 1, 0, 2, 4, 3, 2, 0, 4, 4, 0, 1, 2, 4, 2, 0, 2, 0, 1, 1, 3, 4, 0, 1, 2, 4, 3, 2, 0, 1, 1, 2, 1, 0, 2, 3, 1, 3, 4, 4, 3, 0, 0, 2, 3, 0, 4, 2, 0, 4]
pubkeycol643 = [0, 2, 3, 4, 2, 2, 3, 4, 2, 4, 0, 3, 2, 3, 3, 1, 4, 4, 0, 3, 4, 4, 2, 1, 0, 4, 4, 3, 4, 2, 0, 3, 4, 0, 3, 1, 0, 3, 0, 2, 0, 2, 2, 0, 3, 2, 1, 4, 0, 4, 4, 1, 1, 3, 0, 4, 1, 3, 1, 0, 4, 2, 1, 2, 0, 1, 3, 2, 3, 4, 0, 1, 3, 1, 2, 1, 0, 3, 3, 2, 4, 1, 4, 0, 4, 3, 3, 0, 3, 0, 4, 0, 1, 4, 3, 1, 1, 0, 0, 0, 1, 1, 0, 4, 3, 3, 3, 4, 0, 1, 4, 1, 3, 0, 2, 2, 1, 1, 4, 3, 0, 4, 3, 3, 0, 2, 0, 1, 2, 4, 1, 4, 4, 0, 4, 2, 3, 1, 4, 2, 2, 4, 1, 3, 1, 1, 3, 4, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 3, 4, 0, 4, 3, 3, 4, 2, 0, 2, 1, 4, 3, 3, 4, 0, 1, 0, 4, 4, 0, 2, 4, 0, 0, 3, 3, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 4, 2, 0, 1, 3, 4, 0, 1, 2, 3, 2, 2, 4, 1, 2, 3, 3, 2, 4, 3, 4, 4, 1, 0, 1, 2, 4, 0, 2, 4, 0, 1, 3, 0, 4, 4, 1, 4, 0, 2, 4, 4, 4, 3, 0, 3, 1, 2, 0, 2, 1, 2, 4, 4, 4, 1, 2, 4, 1, 1, 4, 4, 0, 3, 4, 2, 4, 1, 4, 0, 0, 2, 2, 2, 4, 2, 1, 2, 0, 4, 0, 3, 1, 3, 1, 3, 2, 2, 3, 0, 4, 1, 4, 3, 4, 2, 3, 0, 3, 4, 3, 4, 0, 1, 4, 1, 3, 1, 1, 2, 2, 0, 3, 4, 1, 1, 0, 0, 1, 4, 4, 4, 0, 4, 3, 4, 0, 1, 4, 0, 2, 4, 3, 2, 4, 1, 1, 3, 0, 4, 4, 0, 2, 4, 1, 4, 2, 3, 4, 2, 2, 0, 1, 0, 4, 3, 2, 2, 4, 1, 3, 3, 3, 1, 0, 0, 0, 2, 1, 4, 2, 3, 3, 3, 3, 2, 3, 3, 4, 0, 1, 1, 0, 4, 3, 4, 2, 0, 2, 4, 4, 3, 1, 2, 0, 0, 0, 2]
pubkeycol644 = [3, 0, 2, 0, 2, 4, 1, 4, 4, 3, 1, 2, 0, 0, 3, 0, 4, 0, 0, 3, 1, 3, 3, 2, 4, 0, 0, 3, 4, 2, 1, 3, 4, 4, 1, 4, 2, 2, 0, 0, 3, 3, 2, 0, 0, 1, 2, 2, 3, 0, 4, 2, 0, 2, 4, 0, 0, 3, 1, 2, 4, 0, 3, 0, 1, 2, 4, 1, 3, 0, 4, 2, 0, 1, 1, 3, 3, 2, 0, 1, 3, 1, 3, 1, 2, 0, 3, 2, 2, 1, 4, 3, 4, 0, 1, 2, 2, 1, 2, 0, 4, 4, 0, 0, 1, 0, 2, 2, 3, 1, 0, 2, 1, 2, 3, 0, 3, 0, 0, 4, 4, 2, 4, 1, 0, 4, 3, 4, 0, 2, 2, 4, 2, 4, 1, 3, 4, 2, 4, 0, 3, 1, 0, 4, 3, 0, 1, 0, 2, 0, 2, 3, 1, 4, 1, 4, 0, 4, 0, 0, 3, 4, 0, 0, 3, 2, 2, 1, 2, 4, 2, 4, 3, 4, 4, 4, 3, 4, 3, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 3, 0, 1, 2, 4, 0, 0, 1, 0, 0, 1, 4, 2, 1, 4, 3, 4, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 3, 1, 1, 2, 1, 3, 0, 0, 3, 1, 1, 3, 4, 0, 0, 0, 4, 1, 1, 3, 4, 0, 3, 4, 0, 3, 1, 1, 4, 3, 1, 2, 1, 0, 4, 0, 0, 0, 2, 0, 1, 4, 4, 1, 1, 1, 2, 2, 3, 3, 4, 3, 4, 1, 3, 3, 0, 4, 3, 4, 3, 1, 4, 1, 1, 4, 2, 4, 4, 4, 2, 2, 4, 1, 3, 3, 0, 0, 4, 4, 3, 4, 0, 1, 3, 2, 1, 1, 1, 2, 2, 4, 3, 2, 3, 2, 0, 0, 4, 3, 4, 1, 1, 4, 4, 2, 4, 4, 0, 1, 2, 0, 2, 0, 4, 0, 4, 3, 4, 1, 4, 0, 2, 1, 3, 3, 1, 2, 0, 1, 1, 3, 0, 1, 3, 4, 3, 0, 1, 0, 1, 2, 4, 2, 4, 2, 4, 1, 3, 3, 4, 4, 0, 3, 0, 2, 0, 0, 3, 4, 2, 2, 4, 1, 3, 3, 2, 2, 2, 4, 2, 1, 3, 0, 0, 4, 4, 2, 3, 0, 4]
pubkeycol645 = [3, 1, 3, 2, 2, 2, 2, 0, 3, 1, 2, 0, 4, 0, 1, 3, 1, 1, 1, 3, 1, 1, 2, 2, 4, 0, 2, 1, 3, 2, 0, 0, 2, 0, 4, 2, 4, 0, 3, 1, 0, 3, 4, 2, 0, 3, 3, 2, 4, 3, 3, 4, 4, 3, 0, 0, 4, 3, 1, 3, 2, 4, 1, 0, 1, 1, 0, 2, 2, 0, 4, 3, 0, 3, 3, 4, 0, 3, 2, 3, 4, 4, 2, 4, 3, 1, 3, 0, 0, 3, 4, 4, 3, 3, 0, 0, 1, 4, 2, 4, 0, 2, 3, 0, 2, 3, 3, 2, 2, 2, 3, 4, 2, 2, 4, 1, 3, 1, 3, 3, 0, 1, 2, 0, 2, 2, 4, 2, 4, 2, 2, 3, 3, 4, 1, 2, 0, 1, 0, 0, 3, 4, 2, 0, 1, 3, 1, 0, 0, 2, 4, 4, 2, 0, 2, 3, 0, 2, 4, 1, 0, 4, 1, 1, 4, 3, 1, 1, 0, 3, 4, 0, 0, 3, 0, 1, 4, 2, 4, 3, 1, 2, 4, 1, 2, 2, 1, 1, 2, 2, 1, 2, 3, 4, 0, 1, 1, 1, 0, 1, 3, 3, 2, 4, 0, 4, 0, 0, 2, 4, 2, 3, 1, 0, 3, 2, 4, 3, 1, 2, 0, 4, 4, 1, 1, 3, 2, 2, 1, 0, 1, 2, 4, 1, 4, 1, 0, 3, 1, 1, 4, 4, 4, 0, 3, 2, 4, 1, 3, 0, 4, 2, 0, 1, 3, 4, 0, 0, 1, 3, 2, 1, 2, 3, 1, 1, 3, 4, 1, 0, 4, 4, 0, 1, 4, 1, 0, 1, 4, 1, 3, 4, 2, 4, 2, 2, 2, 4, 0, 2, 3, 4, 0, 3, 0, 0, 1, 0, 2, 4, 4, 4, 1, 1, 3, 1, 3, 0, 4, 2, 1, 3, 3, 3, 2, 2, 3, 1, 4, 0, 3, 3, 3, 4, 2, 1, 3, 0, 3, 3, 4, 1, 4, 4, 4, 2, 3, 2, 4, 3, 0, 1, 3, 1, 3, 2, 3, 0, 3, 4, 2, 0, 4, 1, 4, 2, 2, 2, 4, 3, 2, 2, 0, 1, 4, 3, 2, 3, 3, 3, 4, 1, 3, 3, 3, 1, 2, 1, 4, 1, 0, 4, 2, 4, 0, 4, 2, 2, 1, 1, 0, 0, 0, 4, 4, 3, 3, 3, 1, 1]
pubkeycol646 = [1, 1, 3, 0, 0, 2, 4, 3, 0, 3, 2, 2, 1, 2, 4, 0, 1, 4, 1, 0, 1, 0, 0, 2, 2, 3, 0, 4, 4, 3, 2, 2, 1, 0, 2, 0, 4, 4, 0, 0, 0, 1, 2, 3, 4, 2, 2, 2, 4, 3, 3, 3, 3, 2, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 4, 1, 1, 3, 0, 4, 0, 2, 1, 0, 1, 2, 0, 4, 4, 4, 4, 2, 1, 4, 4, 2, 0, 2, 0, 2, 4, 2, 3, 2, 2, 1, 0, 4, 2, 4, 3, 0, 3, 1, 1, 4, 4, 1, 3, 0, 3, 4, 1, 4, 1, 2, 0, 3, 0, 0, 4, 0, 0, 0, 2, 2, 4, 3, 3, 0, 1, 3, 1, 1, 4, 3, 2, 2, 0, 4, 3, 2, 4, 0, 0, 3, 3, 2, 3, 4, 0, 4, 4, 3, 4, 2, 2, 1, 2, 0, 2, 4, 0, 2, 3, 3, 4, 4, 3, 0, 4, 3, 1, 4, 1, 4, 1, 1, 1, 0, 3, 3, 1, 0, 3, 0, 2, 1, 0, 3, 2, 2, 0, 3, 0, 1, 2, 1, 4, 4, 1, 0, 3, 1, 2, 0, 1, 2, 0, 4, 3, 0, 3, 3, 4, 0, 1, 0, 4, 1, 2, 4, 0, 4, 4, 3, 2, 2, 3, 3, 1, 4, 1, 0, 1, 2, 2, 3, 3, 0, 2, 3, 1, 1, 4, 3, 1, 3, 0, 2, 2, 2, 3, 4, 4, 2, 1, 0, 0, 1, 0, 3, 2, 1, 0, 2, 2, 4, 4, 3, 3, 0, 4, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 3, 4, 3, 4, 2, 0, 0, 4, 3, 2, 2, 3, 2, 3, 4, 1, 3, 0, 1, 2, 2, 3, 0, 3, 2, 2, 2, 0, 2, 4, 3, 0, 3, 0, 3, 1, 0, 1, 3, 4, 3, 4, 1, 1, 1, 1, 0, 2, 3, 0, 2, 2, 3, 0, 2, 1, 4, 4, 3, 2, 0, 0, 3, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 0, 1, 2, 1, 0, 4, 4, 0, 3, 0, 1, 4, 0, 4, 1, 0, 4, 2, 1, 3, 2, 2, 2, 2, 4, 0, 0, 2, 2, 3, 2, 4, 2, 3, 4, 0, 4, 4, 3, 3, 0, 3, 2, 0]
pubkeycol647 = [4, 3, 0, 2, 4, 1, 0, 0, 4, 2, 3, 1, 0, 4, 0, 0, 0, 0, 0, 3, 1, 4, 3, 4, 0, 1, 3, 2, 0, 1, 0, 2, 2, 0, 2, 4, 3, 4, 0, 3, 4, 3, 3, 1, 0, 2, 2, 3, 2, 4, 3, 0, 2, 1, 0, 1, 0, 2, 3, 3, 3, 0, 4, 2, 2, 0, 2, 0, 3, 4, 1, 4, 3, 3, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 0, 0, 2, 4, 2, 2, 0, 4, 0, 1, 2, 4, 1, 0, 0, 1, 2, 2, 4, 4, 4, 0, 2, 3, 0, 3, 2, 2, 3, 2, 4, 4, 1, 3, 3, 4, 3, 1, 2, 4, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 4, 4, 2, 2, 2, 2, 2, 4, 0, 4, 3, 1, 4, 1, 4, 0, 2, 4, 0, 0, 4, 3, 4, 3, 4, 0, 3, 0, 1, 3, 0, 2, 2, 2, 4, 4, 0, 2, 2, 3, 1, 0, 2, 0, 1, 1, 1, 1, 4, 0, 0, 0, 1, 4, 3, 3, 0, 4, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 3, 1, 2, 2, 4, 0, 1, 3, 0, 4, 4, 0, 4, 1, 1, 1, 1, 4, 4, 3, 4, 4, 3, 0, 2, 1, 0, 3, 4, 4, 1, 1, 4, 2, 3, 3, 2, 3, 3, 1, 1, 4, 1, 2, 0, 3, 0, 3, 1, 0, 3, 1, 4, 1, 2, 1, 0, 1, 4, 3, 3, 3, 0, 4, 4, 3, 4, 2, 4, 4, 3, 1, 4, 3, 1, 2, 4, 1, 3, 1, 1, 4, 3, 3, 1, 2, 1, 4, 4, 3, 1, 0, 3, 3, 0, 4, 3, 3, 2, 1, 4, 4, 0, 3, 1, 4, 1, 0, 4, 1, 4, 1, 0, 1, 1, 3, 4, 4, 1, 0, 0, 2, 3, 4, 4, 2, 4, 0, 4, 1, 2, 1, 1, 3, 4, 3, 1, 1, 0, 1, 0, 0, 4, 0, 2, 3, 4, 1, 4, 0, 3, 1, 2, 0, 2, 3, 0, 4, 4, 1, 1, 0, 2, 2, 3, 1, 2, 3, 1, 0, 4, 1, 3, 2, 1, 1, 4, 4, 4, 2, 0, 1, 2, 0, 1, 2, 0, 2, 3, 3, 3]
pubkeycol648 = [2, 2, 0, 1, 0, 0, 3, 1, 1, 0, 2, 0, 0, 1, 1, 1, 3, 0, 1, 0, 1, 0, 4, 4, 3, 3, 0, 2, 4, 2, 4, 3, 1, 3, 4, 0, 2, 4, 4, 2, 3, 0, 4, 1, 3, 4, 4, 4, 2, 2, 1, 2, 4, 4, 4, 2, 4, 1, 3, 3, 3, 2, 1, 2, 1, 4, 1, 3, 1, 4, 1, 4, 4, 4, 1, 1, 4, 0, 1, 3, 3, 0, 1, 0, 2, 3, 0, 2, 4, 3, 1, 4, 1, 3, 4, 3, 4, 0, 3, 1, 2, 0, 0, 3, 1, 3, 2, 0, 4, 0, 1, 3, 2, 3, 1, 3, 1, 2, 1, 2, 1, 0, 3, 2, 1, 3, 0, 1, 1, 4, 4, 0, 4, 3, 2, 2, 2, 3, 1, 4, 4, 4, 0, 1, 4, 2, 2, 3, 1, 4, 1, 4, 1, 3, 2, 3, 0, 3, 2, 1, 3, 4, 3, 1, 2, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 4, 2, 0, 2, 3, 3, 3, 4, 4, 1, 2, 2, 3, 3, 4, 4, 4, 3, 0, 4, 0, 0, 1, 3, 2, 1, 3, 4, 2, 3, 0, 2, 3, 0, 3, 2, 1, 4, 1, 4, 0, 4, 2, 1, 3, 4, 4, 2, 0, 4, 1, 0, 1, 2, 2, 2, 1, 2, 0, 3, 3, 3, 3, 2, 0, 4, 2, 4, 2, 3, 0, 3, 2, 3, 0, 1, 0, 2, 2, 3, 3, 2, 1, 3, 2, 3, 3, 3, 1, 4, 1, 4, 1, 2, 2, 3, 2, 4, 2, 3, 0, 4, 0, 3, 1, 3, 1, 0, 4, 2, 0, 3, 3, 3, 2, 0, 0, 1, 0, 0, 4, 4, 0, 0, 1, 4, 1, 4, 4, 2, 2, 1, 4, 0, 2, 1, 1, 2, 1, 4, 3, 0, 2, 3, 3, 1, 3, 1, 0, 4, 1, 0, 4, 2, 0, 4, 4, 2, 4, 0, 4, 2, 3, 4, 0, 1, 0, 3, 0, 3, 2, 3, 2, 2, 4, 4, 2, 1, 0, 4, 1, 0, 2, 2, 0, 4, 2, 2, 3, 1, 4, 0, 1, 1, 3, 0, 4, 4, 4, 1, 0, 4, 4, 3, 0, 2, 1, 4, 1, 4, 1, 3, 4, 0, 3, 2, 0, 4, 0, 4, 3, 3, 1, 0, 3]
pubkeycol649 = [0, 2, 0, 4, 3, 1, 2, 0, 3, 3, 3, 4, 0, 3, 1, 1, 1, 3, 2, 1, 1, 4, 4, 1, 2, 2, 1, 2, 0, 3, 4, 1, 3, 2, 2, 3, 3, 2, 3, 0, 0, 2, 0, 3, 1, 3, 2, 2, 0, 3, 0, 0, 3, 4, 0, 4, 4, 1, 1, 3, 2, 1, 4, 0, 4, 1, 0, 0, 4, 3, 2, 3, 2, 3, 4, 4, 3, 3, 2, 0, 4, 0, 3, 2, 4, 2, 3, 4, 0, 2, 3, 1, 0, 1, 0, 1, 4, 1, 0, 3, 2, 3, 3, 1, 2, 2, 0, 4, 1, 4, 1, 3, 3, 1, 3, 2, 3, 2, 4, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 3, 3, 0, 4, 4, 1, 4, 2, 3, 0, 2, 4, 1, 1, 1, 3, 4, 1, 1, 2, 4, 1, 2, 3, 2, 0, 0, 4, 1, 0, 0, 0, 3, 0, 1, 1, 2, 4, 1, 2, 4, 3, 1, 3, 4, 4, 2, 2, 1, 2, 0, 4, 3, 2, 3, 4, 4, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 4, 4, 3, 2, 4, 0, 2, 1, 1, 3, 3, 0, 4, 4, 0, 0, 0, 2, 3, 4, 3, 3, 3, 3, 0, 4, 3, 1, 4, 1, 3, 2, 4, 0, 3, 3, 3, 4, 2, 0, 0, 1, 4, 2, 0, 1, 2, 3, 0, 3, 0, 3, 4, 1, 2, 4, 4, 4, 4, 3, 1, 3, 4, 1, 4, 2, 4, 2, 0, 2, 0, 2, 3, 1, 0, 0, 3, 3, 3, 0, 1, 3, 1, 1, 0, 1, 4, 2, 3, 3, 0, 1, 0, 3, 3, 0, 4, 4, 2, 2, 0, 0, 2, 4, 2, 3, 0, 4, 1, 1, 0, 4, 1, 2, 3, 1, 3, 1, 3, 3, 1, 1, 0, 0, 3, 3, 0, 1, 0, 1, 4, 3, 4, 1, 1, 0, 3, 2, 1, 3, 2, 4, 4, 3, 2, 1, 3, 1, 3, 4, 3, 3, 1, 0, 3, 4, 1, 3, 4, 3, 0, 4, 0, 3, 4, 0, 2, 1, 3, 2, 4, 1, 1, 4, 0, 4, 2, 0, 1, 0, 1, 4, 3, 1, 3, 0, 2, 1, 0, 0, 4, 4, 3, 0, 3, 4, 3, 3, 2, 2, 1, 3, 3, 0]
pubkeycol650 = [1, 2, 4, 4, 0, 1, 0, 3, 1, 4, 0, 1, 2, 3, 4, 0, 2, 2, 2, 0, 4, 0, 2, 0, 2, 3, 3, 0, 2, 0, 3, 4, 3, 1, 1, 4, 4, 4, 2, 0, 4, 1, 4, 2, 2, 1, 2, 3, 1, 3, 3, 0, 2, 4, 4, 4, 1, 4, 4, 4, 4, 0, 2, 0, 2, 4, 4, 0, 0, 4, 3, 1, 4, 3, 0, 3, 0, 2, 0, 2, 0, 0, 3, 1, 3, 0, 0, 2, 0, 4, 4, 4, 4, 3, 3, 0, 0, 4, 2, 2, 4, 3, 1, 1, 3, 0, 1, 3, 1, 0, 0, 4, 0, 0, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 4, 0, 1, 4, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 4, 0, 4, 1, 4, 1, 3, 3, 0, 3, 0, 3, 2, 1, 1, 4, 2, 3, 0, 2, 1, 4, 1, 1, 1, 3, 0, 3, 3, 0, 4, 0, 3, 2, 1, 3, 1, 2, 3, 4, 1, 0, 3, 0, 0, 2, 4, 2, 4, 0, 0, 2, 0, 4, 4, 4, 0, 0, 3, 4, 3, 1, 0, 0, 2, 3, 3, 0, 2, 3, 0, 4, 1, 1, 3, 2, 2, 1, 3, 4, 2, 0, 3, 0, 0, 0, 1, 3, 4, 0, 1, 0, 3, 3, 0, 2, 2, 1, 3, 4, 2, 4, 3, 0, 0, 1, 4, 4, 3, 1, 3, 0, 2, 3, 3, 1, 1, 3, 4, 2, 0, 2, 3, 2, 1, 3, 3, 4, 3, 0, 4, 2, 4, 3, 1, 4, 3, 1, 4, 2, 2, 4, 3, 4, 1, 0, 4, 2, 0, 0, 2, 3, 3, 1, 2, 0, 1, 3, 0, 4, 4, 4, 2, 3, 3, 3, 0, 2, 3, 4, 3, 0, 1, 1, 1, 3, 4, 3, 4, 2, 1, 4, 4, 0, 0, 1, 3, 1, 4, 3, 3, 0, 4, 4, 3, 0, 4, 3, 4, 3, 1, 2, 1, 0, 3, 2, 2, 3, 2, 4, 3, 2, 1, 4, 1, 0, 2, 1, 1, 3, 3, 4, 0, 3, 3, 0, 1, 0, 1, 4, 0, 2, 4, 3, 0, 2, 4, 0, 1, 1, 4, 4, 2, 2, 3, 4, 0, 0, 0, 3, 3, 2, 2, 4, 1, 2, 4, 4, 3, 4]
pubkeycol651 = [0, 0, 0, 2, 0, 3, 3, 3, 1, 1, 1, 0, 4, 1, 4, 4, 3, 4, 2, 2, 2, 4, 2, 3, 4, 2, 0, 3, 0, 3, 2, 3, 2, 2, 4, 3, 1, 1, 2, 3, 0, 2, 2, 4, 2, 0, 0, 4, 1, 0, 1, 4, 4, 4, 2, 3, 4, 2, 1, 4, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 3, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 2, 4, 0, 3, 1, 4, 1, 2, 1, 3, 1, 1, 1, 3, 3, 4, 2, 1, 1, 4, 4, 4, 3, 0, 4, 2, 4, 0, 1, 1, 0, 2, 4, 1, 1, 2, 1, 3, 4, 2, 0, 4, 0, 1, 4, 1, 1, 3, 1, 0, 4, 1, 1, 4, 1, 1, 4, 1, 3, 3, 4, 3, 3, 4, 1, 0, 1, 1, 3, 3, 1, 0, 3, 4, 3, 4, 0, 2, 2, 3, 0, 4, 3, 3, 3, 1, 1, 4, 1, 2, 3, 2, 3, 3, 2, 4, 1, 0, 4, 2, 0, 0, 3, 0, 3, 0, 1, 4, 0, 4, 0, 3, 4, 3, 2, 2, 1, 1, 1, 0, 0, 1, 2, 4, 0, 3, 2, 3, 0, 4, 3, 4, 2, 2, 0, 4, 3, 3, 1, 2, 2, 4, 3, 1, 4, 1, 4, 3, 0, 0, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 4, 1, 4, 1, 4, 3, 3, 0, 2, 4, 1, 3, 0, 0, 1, 2, 3, 1, 4, 4, 4, 1, 0, 4, 3, 3, 4, 3, 0, 2, 4, 1, 0, 2, 4, 1, 2, 4, 4, 2, 1, 3, 2, 1, 1, 4, 1, 0, 0, 3, 1, 2, 3, 4, 0, 4, 0, 2, 2, 3, 0, 1, 4, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3, 4, 4, 1, 1, 2, 1, 0, 1, 4, 3, 1, 2, 0, 1, 2, 3, 3, 0, 2, 0, 1, 1, 0, 2, 4, 2, 0, 4, 3, 0, 0, 0, 3, 3, 3, 3, 1, 0, 3, 4, 3, 4, 2, 2, 0, 2, 0, 4, 0, 1, 3, 2, 3, 0, 2, 3, 3, 4, 0, 2, 1, 2, 3, 4, 2, 3, 2, 1, 0, 3, 1, 4, 3, 0, 4, 1, 1, 2, 4, 0, 1, 0, 1, 4]
pubkeycol652 = [4, 2, 1, 4, 3, 2, 1, 4, 0, 0, 0, 3, 3, 1, 3, 0, 2, 0, 3, 3, 3, 1, 1, 2, 3, 4, 1, 3, 1, 3, 3, 4, 4, 1, 3, 2, 3, 1, 0, 3, 4, 2, 4, 4, 4, 2, 4, 4, 0, 3, 4, 1, 2, 3, 1, 0, 0, 3, 2, 3, 4, 2, 2, 4, 4, 2, 4, 4, 1, 1, 0, 0, 3, 3, 3, 3, 2, 1, 2, 1, 0, 0, 1, 1, 1, 4, 1, 2, 0, 1, 1, 0, 1, 3, 2, 4, 1, 1, 4, 0, 3, 4, 1, 2, 2, 4, 2, 1, 3, 3, 1, 3, 0, 4, 4, 2, 2, 1, 3, 4, 2, 0, 4, 0, 1, 0, 3, 2, 2, 1, 2, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 3, 0, 0, 0, 1, 1, 1, 3, 3, 0, 3, 0, 1, 1, 0, 3, 3, 1, 2, 3, 4, 3, 1, 1, 3, 2, 3, 4, 2, 1, 1, 4, 3, 1, 4, 4, 1, 2, 4, 4, 4, 2, 2, 1, 4, 3, 1, 4, 0, 3, 0, 1, 3, 2, 4, 4, 3, 2, 0, 3, 2, 2, 0, 1, 3, 1, 4, 4, 3, 3, 1, 3, 4, 4, 3, 1, 4, 0, 2, 4, 0, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 1, 0, 2, 4, 1, 3, 0, 0, 0, 2, 0, 1, 4, 0, 2, 4, 3, 0, 4, 4, 3, 0, 3, 4, 2, 4, 4, 2, 1, 0, 2, 4, 0, 3, 2, 3, 1, 1, 1, 0, 2, 1, 4, 1, 4, 1, 3, 0, 4, 3, 3, 0, 2, 2, 0, 3, 2, 4, 4, 2, 1, 4, 4, 0, 0, 3, 3, 2, 4, 2, 2, 3, 2, 3, 4, 3, 1, 1, 3, 2, 2, 3, 3, 0, 4, 3, 3, 4, 0, 3, 1, 1, 0, 3, 2, 1, 4, 2, 4, 2, 4, 2, 1, 3, 0, 4, 1, 1, 3, 3, 3, 3, 1, 2, 2, 4, 2, 2, 4, 2, 2, 0, 3, 3, 3, 0, 4, 2, 0, 2, 1, 3, 3, 4, 3, 1, 4, 1, 1, 4, 3, 2, 3, 2, 0, 1, 4, 3, 3, 4, 2, 3, 1, 3, 0, 3, 0, 1, 0, 3, 0, 3, 0, 3, 1, 4, 2, 0]
pubkeycol653 = [1, 0, 3, 3, 0, 2, 2, 1, 4, 4, 3, 1, 4, 2, 3, 4, 4, 0, 1, 0, 1, 0, 2, 3, 0, 4, 0, 1, 1, 0, 1, 4, 1, 4, 1, 3, 2, 4, 0, 3, 1, 4, 4, 3, 1, 4, 1, 1, 3, 0, 1, 0, 4, 1, 3, 1, 2, 4, 0, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 4, 3, 1, 4, 4, 1, 4, 1, 3, 2, 0, 0, 1, 1, 0, 4, 1, 0, 2, 0, 3, 4, 3, 3, 0, 3, 2, 0, 2, 0, 1, 3, 4, 0, 4, 1, 1, 4, 2, 4, 3, 0, 1, 4, 0, 1, 2, 4, 1, 4, 0, 4, 3, 1, 3, 4, 1, 2, 2, 1, 0, 4, 2, 0, 0, 1, 4, 1, 4, 0, 2, 0, 4, 3, 4, 3, 1, 2, 4, 4, 1, 3, 1, 3, 3, 3, 3, 3, 2, 4, 4, 4, 2, 1, 2, 3, 4, 3, 0, 3, 0, 4, 4, 0, 2, 2, 0, 2, 3, 4, 3, 4, 2, 4, 4, 2, 1, 2, 3, 1, 4, 0, 1, 1, 1, 0, 3, 0, 4, 2, 1, 4, 0, 2, 0, 4, 1, 3, 4, 1, 2, 0, 4, 2, 4, 2, 4, 2, 2, 3, 4, 0, 1, 3, 2, 4, 0, 0, 3, 3, 2, 1, 0, 0, 0, 2, 4, 4, 4, 2, 3, 3, 4, 2, 0, 1, 3, 3, 2, 1, 4, 3, 3, 3, 4, 3, 3, 4, 4, 0, 2, 2, 3, 0, 4, 1, 2, 0, 1, 4, 3, 0, 4, 1, 2, 0, 0, 4, 4, 1, 3, 2, 4, 4, 4, 1, 1, 1, 0, 0, 1, 3, 1, 0, 0, 4, 4, 4, 4, 3, 2, 2, 3, 3, 4, 1, 4, 0, 0, 2, 3, 4, 0, 3, 2, 1, 0, 4, 4, 4, 0, 2, 2, 0, 0, 3, 0, 0, 1, 0, 3, 0, 4, 2, 4, 4, 0, 4, 2, 3, 2, 0, 3, 0, 4, 2, 4, 1, 3, 0, 1, 3, 3, 1, 2, 3, 2, 1, 4, 2, 1, 4, 2, 0, 3, 1, 3, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 3, 3, 4, 0, 1, 2, 4, 0, 3, 1, 0, 2, 3, 1, 3, 0, 3, 0, 4, 3, 2, 1]
pubkeycol654 = [3, 0, 3, 0, 3, 1, 1, 2, 4, 1, 4, 3, 1, 0, 3, 0, 1, 3, 1, 0, 2, 0, 2, 1, 3, 1, 0, 1, 1, 1, 0, 2, 1, 1, 4, 3, 2, 4, 4, 1, 4, 3, 4, 4, 3, 2, 3, 2, 0, 1, 2, 4, 0, 4, 0, 4, 1, 0, 0, 3, 3, 1, 1, 2, 3, 1, 2, 3, 0, 4, 4, 1, 0, 3, 4, 3, 1, 0, 1, 1, 0, 0, 4, 4, 1, 3, 3, 2, 4, 2, 2, 4, 4, 2, 4, 1, 0, 0, 2, 2, 4, 2, 0, 0, 3, 1, 0, 1, 2, 0, 4, 3, 2, 2, 3, 3, 0, 4, 0, 4, 3, 3, 2, 1, 2, 4, 2, 1, 2, 0, 2, 0, 1, 0, 1, 3, 4, 3, 1, 4, 4, 0, 4, 4, 2, 3, 2, 2, 3, 0, 1, 2, 3, 4, 4, 1, 2, 0, 1, 2, 3, 2, 3, 2, 3, 0, 1, 4, 0, 3, 2, 4, 1, 4, 0, 2, 0, 1, 3, 0, 0, 3, 0, 3, 0, 4, 1, 0, 0, 2, 0, 2, 4, 4, 4, 3, 0, 2, 1, 0, 1, 2, 2, 1, 2, 4, 4, 2, 3, 0, 0, 0, 3, 3, 2, 4, 0, 1, 0, 3, 3, 1, 3, 4, 2, 1, 3, 1, 1, 0, 4, 0, 4, 3, 4, 0, 3, 0, 2, 3, 0, 3, 4, 3, 3, 3, 1, 2, 4, 0, 2, 2, 0, 0, 3, 3, 0, 3, 4, 3, 3, 2, 4, 4, 1, 2, 2, 4, 0, 3, 4, 2, 1, 1, 0, 1, 2, 2, 1, 4, 4, 4, 0, 1, 4, 0, 1, 4, 0, 0, 4, 4, 3, 1, 0, 4, 4, 1, 3, 1, 2, 4, 2, 0, 1, 2, 4, 2, 0, 1, 3, 2, 4, 1, 0, 3, 2, 1, 3, 3, 2, 4, 2, 2, 4, 1, 0, 3, 3, 2, 1, 1, 1, 0, 1, 0, 3, 2, 3, 1, 0, 3, 4, 4, 2, 0, 4, 0, 4, 3, 1, 2, 0, 1, 2, 4, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 4, 3, 3, 4, 3, 0, 3, 2, 2, 0, 3, 0, 3, 2, 1, 1, 0, 3, 3, 2, 3, 3, 0, 4, 2, 0, 1, 0, 3, 3, 0, 0, 1]
pubkeycol655 = [1, 3, 0, 2, 0, 4, 2, 1, 4, 3, 0, 3, 2, 1, 4, 1, 0, 2, 4, 1, 0, 2, 0, 1, 2, 3, 1, 4, 1, 0, 3, 4, 0, 4, 0, 3, 3, 1, 1, 2, 2, 3, 1, 2, 0, 2, 2, 4, 4, 4, 4, 0, 4, 0, 2, 2, 0, 3, 2, 1, 3, 1, 0, 3, 3, 2, 1, 3, 1, 0, 0, 1, 3, 1, 1, 0, 2, 4, 0, 4, 2, 0, 2, 4, 1, 4, 2, 1, 1, 3, 0, 1, 2, 0, 3, 1, 0, 4, 4, 1, 3, 0, 0, 2, 3, 4, 3, 0, 4, 3, 1, 4, 0, 2, 2, 3, 0, 3, 3, 0, 3, 3, 1, 1, 4, 1, 3, 0, 4, 3, 0, 1, 2, 3, 4, 4, 4, 3, 2, 4, 4, 3, 0, 4, 4, 4, 2, 3, 1, 0, 2, 2, 1, 4, 0, 2, 4, 2, 0, 4, 3, 3, 0, 1, 0, 2, 3, 2, 3, 1, 2, 2, 0, 0, 1, 1, 0, 3, 1, 2, 1, 1, 3, 3, 0, 4, 3, 3, 3, 3, 3, 3, 1, 2, 0, 0, 3, 2, 2, 4, 0, 1, 3, 3, 2, 1, 0, 1, 0, 1, 3, 1, 2, 4, 1, 0, 0, 3, 1, 0, 3, 1, 0, 0, 1, 1, 4, 4, 2, 0, 1, 1, 2, 4, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 4, 3, 4, 1, 2, 2, 3, 4, 4, 0, 4, 2, 3, 4, 4, 4, 0, 2, 1, 0, 2, 4, 1, 4, 4, 1, 4, 0, 2, 4, 3, 0, 3, 0, 0, 4, 0, 3, 1, 1, 0, 1, 3, 3, 4, 2, 3, 1, 2, 1, 1, 4, 3, 3, 1, 3, 1, 1, 0, 4, 1, 0, 3, 3, 2, 2, 4, 1, 2, 0, 1, 2, 2, 0, 3, 2, 0, 1, 1, 2, 3, 2, 3, 2, 1, 3, 0, 0, 4, 4, 0, 2, 4, 4, 0, 4, 1, 2, 3, 4, 4, 1, 1, 3, 1, 3, 2, 4, 4, 3, 3, 1, 3, 3, 0, 1, 2, 4, 0, 1, 3, 3, 1, 4, 4, 2, 1, 2, 2, 0, 3, 1, 3, 2, 3, 3, 3, 2, 4, 1, 1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 3, 4, 4, 4, 1, 1]
pubkeycol656 = [3, 2, 1, 4, 2, 2, 3, 2, 2, 1, 0, 2, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 3, 4, 2, 3, 1, 0, 4, 0, 0, 0, 1, 4, 0, 0, 1, 3, 4, 4, 0, 2, 3, 4, 4, 0, 2, 3, 3, 3, 3, 1, 0, 1, 2, 0, 4, 4, 0, 4, 2, 0, 0, 2, 3, 3, 1, 4, 1, 1, 1, 2, 0, 0, 4, 3, 2, 4, 1, 1, 3, 0, 0, 1, 4, 4, 0, 3, 0, 1, 1, 1, 0, 1, 3, 0, 4, 0, 0, 1, 1, 3, 2, 2, 3, 2, 0, 1, 3, 1, 3, 2, 2, 1, 4, 0, 3, 1, 3, 2, 0, 1, 0, 3, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 4, 1, 4, 3, 3, 3, 4, 4, 3, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 0, 1, 1, 0, 0, 0, 4, 2, 2, 0, 4, 0, 3, 4, 0, 0, 2, 0, 3, 4, 2, 0, 4, 4, 2, 1, 2, 2, 4, 0, 3, 1, 0, 1, 0, 1, 0, 0, 4, 2, 1, 3, 2, 0, 0, 1, 0, 2, 0, 4, 2, 0, 4, 2, 1, 0, 3, 0, 3, 4, 4, 4, 4, 4, 2, 2, 1, 0, 4, 4, 2, 0, 2, 2, 4, 0, 3, 4, 4, 1, 4, 1, 1, 3, 1, 4, 0, 4, 3, 2, 0, 4, 1, 1, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 1, 0, 3, 2, 3, 1, 4, 4, 0, 0, 2, 3, 1, 3, 4, 2, 3, 4, 0, 1, 4, 1, 3, 3, 2, 4, 4, 1, 3, 0, 1, 3, 0, 2, 0, 0, 3, 1, 2, 1, 3, 2, 2, 4, 2, 3, 2, 2, 1, 3, 2, 3, 2, 0, 2, 0, 3, 0, 4, 1, 1, 3, 1, 1, 4, 2, 1, 2, 3, 3, 1, 4, 1, 2, 3, 4, 0, 3, 0, 0, 4, 2, 4, 1, 3, 3, 4, 4, 3, 2, 1, 3, 3, 3, 0, 3, 1, 3, 0, 3, 3, 4, 4, 0, 0, 3, 4, 0, 1, 4, 0, 1, 4, 3, 4, 4, 3, 4, 1, 1, 1, 1, 0, 3, 0, 1, 0, 1, 2, 0, 2, 2, 3, 4, 2]
pubkeycol657 = [1, 1, 1, 2, 1, 3, 0, 4, 1, 3, 4, 0, 4, 4, 2, 1, 2, 1, 4, 0, 1, 1, 4, 2, 3, 2, 3, 4, 1, 3, 4, 4, 4, 0, 4, 2, 2, 4, 2, 2, 4, 3, 0, 4, 2, 4, 3, 2, 0, 2, 1, 0, 0, 3, 3, 1, 3, 4, 0, 0, 3, 3, 4, 2, 3, 1, 1, 4, 4, 2, 3, 0, 0, 0, 2, 4, 3, 2, 0, 2, 4, 4, 1, 4, 3, 1, 4, 4, 3, 2, 2, 4, 3, 2, 3, 3, 2, 1, 2, 4, 1, 2, 1, 3, 3, 1, 4, 1, 3, 2, 4, 4, 0, 3, 3, 1, 0, 4, 4, 3, 0, 1, 2, 2, 4, 3, 0, 4, 0, 2, 3, 0, 0, 4, 1, 3, 2, 3, 1, 4, 4, 1, 4, 2, 2, 3, 1, 1, 1, 0, 1, 3, 2, 4, 0, 3, 4, 2, 3, 0, 1, 0, 4, 4, 1, 4, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 3, 4, 1, 3, 3, 4, 1, 0, 3, 0, 1, 3, 1, 4, 2, 3, 0, 0, 3, 0, 1, 2, 3, 1, 2, 1, 2, 0, 4, 1, 3, 0, 4, 1, 3, 1, 4, 3, 0, 1, 4, 4, 4, 2, 3, 0, 1, 2, 0, 1, 1, 0, 3, 0, 3, 1, 4, 1, 2, 1, 4, 2, 0, 0, 1, 2, 2, 0, 1, 2, 4, 3, 1, 4, 1, 1, 0, 4, 0, 2, 2, 3, 0, 0, 4, 4, 0, 2, 0, 3, 0, 4, 2, 2, 2, 3, 4, 4, 4, 2, 3, 3, 1, 1, 0, 4, 4, 1, 2, 0, 2, 3, 1, 4, 0, 0, 3, 4, 4, 0, 1, 0, 4, 1, 2, 4, 3, 3, 1, 0, 4, 3, 2, 0, 4, 4, 3, 4, 3, 1, 1, 1, 0, 1, 0, 3, 2, 3, 0, 3, 2, 4, 0, 1, 4, 3, 0, 4, 0, 0, 2, 0, 2, 1, 0, 4, 2, 3, 0, 1, 1, 1, 4, 1, 4, 3, 1, 0, 4, 0, 4, 2, 3, 2, 1, 4, 2, 0, 0, 4, 3, 1, 1, 0, 2, 4, 4, 0, 4, 2, 4, 4, 0, 2, 1, 4, 4, 0, 3, 3, 2, 1, 3, 0, 1, 4, 0, 4, 0, 0, 1, 2, 0, 3]
pubkeycol658 = [2, 3, 4, 2, 0, 4, 1, 1, 3, 3, 1, 4, 2, 0, 0, 3, 0, 4, 2, 2, 0, 4, 1, 0, 1, 1, 1, 0, 3, 3, 4, 0, 4, 1, 3, 0, 2, 4, 2, 1, 2, 4, 3, 3, 2, 3, 2, 2, 2, 0, 2, 1, 3, 2, 1, 2, 2, 2, 0, 3, 0, 4, 3, 0, 0, 2, 1, 0, 0, 3, 1, 3, 1, 4, 1, 4, 4, 4, 4, 0, 1, 3, 2, 0, 0, 0, 1, 3, 0, 3, 2, 1, 1, 2, 4, 2, 2, 1, 0, 1, 2, 4, 2, 1, 1, 2, 4, 2, 4, 1, 3, 3, 1, 1, 2, 0, 4, 1, 3, 1, 4, 3, 0, 1, 2, 4, 0, 2, 1, 2, 2, 0, 4, 2, 2, 4, 0, 3, 2, 4, 1, 0, 3, 0, 4, 1, 0, 1, 1, 3, 3, 3, 0, 0, 0, 4, 1, 2, 0, 1, 3, 4, 4, 3, 3, 1, 3, 3, 4, 1, 1, 4, 3, 3, 3, 1, 2, 4, 3, 2, 0, 0, 0, 0, 1, 4, 2, 1, 2, 0, 0, 3, 2, 1, 2, 3, 0, 3, 2, 3, 2, 4, 3, 4, 4, 3, 0, 1, 1, 1, 2, 2, 2, 4, 3, 2, 1, 1, 3, 3, 3, 2, 3, 0, 1, 0, 4, 1, 3, 3, 4, 3, 3, 3, 3, 2, 1, 1, 3, 2, 1, 3, 3, 3, 3, 4, 1, 0, 0, 4, 4, 2, 1, 2, 1, 3, 1, 2, 4, 3, 2, 1, 2, 0, 3, 3, 4, 1, 4, 3, 2, 4, 3, 4, 0, 0, 0, 0, 3, 1, 2, 2, 1, 0, 2, 4, 1, 4, 1, 2, 0, 2, 3, 1, 0, 1, 3, 3, 4, 0, 3, 0, 0, 2, 1, 0, 1, 3, 1, 0, 3, 0, 3, 1, 4, 2, 0, 2, 4, 2, 3, 0, 2, 1, 3, 1, 3, 0, 4, 3, 1, 4, 1, 4, 4, 1, 0, 3, 4, 2, 0, 3, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 3, 0, 1, 3, 3, 1, 2, 1, 2, 3, 1, 2, 0, 0, 0, 3, 0, 1, 3, 0, 3, 3, 1, 0, 3, 2, 1, 3, 1, 1, 1, 4, 1, 3, 4, 1, 3, 0, 2, 3, 4, 0, 4, 2, 2, 4, 4, 0]
pubkeycol659 = [3, 2, 3, 4, 3, 3, 3, 0, 2, 3, 2, 3, 0, 4, 2, 0, 2, 3, 4, 3, 2, 0, 3, 0, 4, 3, 1, 4, 0, 3, 3, 4, 1, 1, 1, 4, 4, 2, 2, 0, 4, 4, 3, 3, 2, 1, 3, 1, 3, 0, 1, 1, 4, 0, 0, 3, 0, 3, 4, 2, 4, 3, 0, 1, 0, 1, 0, 4, 1, 3, 4, 4, 1, 0, 1, 4, 1, 4, 2, 4, 2, 0, 0, 4, 3, 4, 4, 4, 1, 1, 4, 3, 3, 2, 3, 4, 4, 4, 0, 0, 2, 3, 0, 0, 1, 1, 0, 0, 4, 2, 3, 0, 0, 4, 3, 2, 1, 1, 1, 3, 2, 2, 0, 1, 1, 1, 4, 1, 2, 3, 4, 2, 1, 0, 0, 4, 0, 4, 0, 3, 3, 4, 2, 4, 0, 0, 1, 1, 4, 0, 1, 1, 0, 3, 3, 2, 0, 4, 0, 0, 0, 3, 1, 2, 4, 3, 4, 0, 4, 1, 0, 1, 4, 3, 4, 2, 0, 2, 1, 3, 4, 1, 1, 1, 0, 2, 3, 2, 4, 3, 4, 2, 4, 4, 2, 4, 3, 4, 3, 0, 0, 1, 0, 4, 2, 1, 1, 3, 3, 3, 3, 3, 2, 0, 1, 0, 3, 0, 4, 3, 2, 1, 0, 4, 3, 4, 1, 4, 0, 1, 4, 3, 1, 1, 4, 2, 2, 0, 1, 0, 3, 4, 0, 4, 3, 4, 1, 2, 3, 1, 1, 0, 4, 4, 0, 0, 4, 3, 1, 4, 2, 3, 2, 0, 0, 1, 3, 3, 2, 1, 4, 3, 0, 1, 4, 0, 4, 4, 4, 4, 4, 1, 1, 0, 0, 2, 1, 2, 1, 1, 4, 4, 4, 1, 1, 2, 0, 3, 0, 1, 3, 1, 1, 2, 0, 3, 4, 3, 2, 0, 1, 2, 4, 0, 1, 0, 0, 1, 4, 0, 2, 1, 3, 0, 4, 4, 0, 1, 4, 2, 2, 1, 2, 4, 2, 0, 1, 3, 2, 0, 3, 2, 0, 1, 3, 0, 4, 3, 0, 4, 0, 0, 1, 2, 3, 2, 4, 3, 4, 4, 0, 1, 3, 1, 0, 0, 4, 1, 1, 1, 4, 3, 1, 2, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 2, 3, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1]
pubkeycol660 = [3, 1, 0, 1, 4, 1, 4, 4, 0, 3, 0, 4, 0, 1, 0, 4, 3, 4, 4, 4, 2, 4, 1, 4, 1, 1, 1, 4, 3, 2, 4, 4, 4, 0, 4, 2, 1, 1, 4, 4, 1, 3, 3, 3, 2, 3, 0, 2, 2, 3, 2, 1, 4, 0, 0, 0, 4, 0, 3, 4, 1, 1, 2, 0, 4, 1, 1, 1, 0, 4, 3, 4, 4, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 4, 2, 3, 2, 0, 2, 1, 4, 3, 2, 1, 2, 0, 1, 2, 0, 2, 4, 3, 4, 1, 1, 2, 3, 2, 3, 2, 4, 1, 0, 0, 4, 3, 2, 4, 2, 1, 2, 1, 2, 1, 2, 4, 0, 0, 2, 1, 3, 3, 4, 2, 0, 1, 1, 0, 2, 0, 3, 2, 4, 3, 2, 2, 1, 4, 1, 3, 1, 1, 0, 1, 0, 0, 0, 3, 2, 4, 4, 0, 3, 0, 4, 2, 4, 3, 3, 0, 1, 3, 1, 0, 4, 4, 0, 1, 1, 2, 3, 3, 4, 3, 3, 4, 3, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 1, 2, 1, 4, 2, 4, 3, 4, 4, 1, 3, 0, 0, 0, 0, 3, 2, 3, 2, 1, 2, 4, 1, 1, 2, 0, 0, 1, 0, 2, 4, 4, 2, 2, 1, 2, 1, 1, 4, 0, 0, 0, 1, 2, 2, 1, 2, 4, 2, 1, 4, 0, 1, 0, 0, 0, 0, 0, 0, 1, 4, 2, 2, 0, 4, 0, 4, 2, 2, 1, 4, 0, 0, 2, 3, 4, 4, 2, 2, 4, 3, 1, 1, 2, 4, 1, 4, 1, 3, 4, 0, 3, 1, 4, 0, 3, 2, 1, 1, 3, 0, 1, 4, 0, 2, 3, 2, 4, 2, 1, 1, 0, 0, 1, 0, 0, 4, 2, 3, 3, 3, 3, 1, 3, 2, 3, 1, 2, 1, 0, 4, 1, 1, 0, 0, 3, 3, 1, 2, 0, 4, 4, 1, 0, 1, 0, 3, 2, 3, 2, 0, 1, 1, 3, 1, 0, 1, 2, 3, 2, 2, 0, 1, 1, 2, 4, 2, 0, 3, 0, 0, 0, 4, 1, 2, 1, 0, 2, 1, 4, 3, 4, 2, 2, 0, 4, 2, 3, 0, 4, 1, 3, 0, 2, 2]
pubkeycol661 = [0, 2, 1, 3, 0, 4, 2, 4, 2, 0, 1, 1, 1, 4, 3, 2, 1, 3, 3, 3, 2, 2, 2, 1, 3, 4, 0, 2, 3, 1, 2, 4, 2, 2, 1, 2, 1, 4, 3, 1, 1, 2, 0, 0, 1, 2, 0, 3, 4, 1, 3, 2, 3, 4, 2, 1, 3, 0, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 2, 2, 1, 3, 0, 1, 3, 4, 0, 3, 3, 4, 2, 0, 0, 3, 4, 0, 1, 3, 2, 4, 2, 4, 4, 0, 1, 0, 2, 3, 2, 3, 4, 1, 2, 3, 2, 0, 0, 1, 4, 0, 1, 4, 4, 1, 2, 2, 2, 2, 1, 1, 0, 0, 4, 0, 0, 1, 1, 2, 4, 3, 4, 3, 0, 2, 3, 3, 3, 2, 4, 2, 1, 4, 3, 3, 3, 0, 2, 4, 4, 2, 1, 2, 4, 3, 2, 4, 0, 1, 2, 2, 4, 3, 0, 0, 1, 4, 4, 0, 2, 1, 4, 0, 1, 1, 4, 2, 3, 3, 1, 0, 4, 3, 4, 1, 0, 4, 1, 1, 3, 0, 3, 1, 3, 0, 3, 3, 0, 2, 4, 1, 4, 3, 2, 4, 3, 0, 2, 4, 4, 3, 1, 0, 0, 3, 3, 0, 2, 1, 1, 4, 1, 3, 4, 0, 1, 4, 2, 2, 0, 0, 0, 1, 3, 2, 3, 2, 1, 2, 0, 2, 1, 2, 3, 0, 3, 4, 2, 0, 4, 4, 0, 4, 3, 2, 3, 4, 0, 0, 3, 3, 1, 4, 0, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 1, 3, 0, 1, 4, 1, 3, 1, 0, 4, 3, 3, 4, 0, 2, 1, 3, 2, 4, 0, 4, 3, 4, 3, 0, 1, 2, 1, 2, 3, 1, 4, 0, 4, 2, 0, 4, 0, 0, 2, 4, 1, 4, 1, 3, 2, 4, 1, 4, 1, 0, 3, 0, 1, 2, 3, 1, 0, 0, 3, 2, 2, 4, 1, 4, 4, 2, 3, 1, 3, 0, 4, 0, 0, 4, 0, 0, 4, 2, 1, 0, 4, 3, 0, 2, 1, 3, 2, 2, 2, 4, 3, 4, 1, 3, 0, 4, 3, 3, 1, 2, 2, 0, 3, 0, 4, 1, 1, 2, 0, 2, 1, 2, 4, 0, 1, 2, 0, 3, 2, 2, 1, 3, 4, 1, 3, 4]
pubkeycol662 = [3, 4, 2, 1, 3, 2, 0, 3, 2, 2, 2, 0, 3, 1, 3, 1, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 3, 0, 2, 2, 3, 1, 4, 1, 1, 4, 0, 4, 3, 0, 1, 2, 2, 4, 0, 1, 2, 2, 1, 3, 4, 3, 1, 3, 1, 2, 1, 2, 1, 2, 3, 3, 1, 4, 4, 0, 3, 0, 3, 2, 0, 3, 0, 3, 0, 3, 4, 4, 3, 2, 2, 4, 0, 0, 3, 2, 1, 2, 4, 1, 3, 4, 4, 1, 1, 4, 4, 2, 1, 1, 0, 2, 2, 3, 0, 4, 0, 4, 3, 1, 4, 3, 1, 4, 1, 1, 2, 3, 2, 2, 2, 2, 0, 2, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 3, 0, 0, 4, 2, 2, 0, 1, 2, 2, 2, 1, 2, 4, 4, 3, 0, 0, 2, 4, 1, 0, 4, 3, 1, 1, 1, 4, 2, 2, 3, 0, 2, 4, 4, 4, 3, 4, 3, 1, 1, 1, 4, 1, 0, 0, 3, 2, 2, 0, 2, 2, 3, 0, 3, 3, 1, 3, 2, 3, 2, 0, 0, 0, 4, 0, 1, 3, 1, 4, 0, 1, 3, 3, 1, 1, 0, 3, 3, 4, 2, 3, 1, 2, 1, 3, 2, 0, 4, 3, 4, 4, 2, 1, 4, 0, 4, 1, 2, 4, 0, 3, 4, 2, 0, 4, 3, 3, 4, 4, 1, 3, 3, 3, 0, 3, 2, 4, 3, 4, 3, 2, 4, 1, 1, 1, 4, 3, 2, 3, 3, 2, 3, 0, 0, 0, 4, 0, 3, 3, 0, 3, 4, 3, 4, 2, 4, 3, 3, 0, 0, 0, 1, 1, 3, 1, 3, 0, 2, 1, 0, 3, 3, 1, 1, 4, 0, 3, 4, 4, 0, 1, 3, 0, 2, 0, 2, 1, 4, 0, 3, 0, 0, 4, 1, 4, 3, 4, 4, 3, 0, 3, 1, 2, 1, 1, 0, 2, 3, 3, 2, 0, 4, 0, 4, 1, 0, 3, 3, 4, 4, 0, 2, 0, 1, 4, 2, 0, 1, 3, 2, 2, 3, 3, 2, 3, 1, 3, 4, 1, 1, 0, 3, 0, 4, 2, 4, 3, 3, 0, 3, 2, 1, 0, 2, 0, 0, 1, 0, 2, 4, 0, 0, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 4, 1]
pubkeycol663 = [1, 2, 0, 2, 3, 4, 1, 4, 1, 1, 2, 0, 0, 3, 0, 1, 2, 4, 3, 2, 0, 3, 4, 2, 1, 2, 2, 1, 2, 3, 3, 1, 1, 2, 0, 1, 2, 3, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 4, 1, 0, 2, 1, 0, 2, 3, 4, 4, 4, 4, 1, 4, 2, 4, 0, 3, 2, 1, 2, 0, 2, 1, 0, 4, 1, 4, 4, 3, 0, 0, 3, 3, 3, 4, 0, 4, 0, 3, 0, 3, 4, 3, 1, 1, 4, 4, 2, 2, 3, 0, 2, 1, 3, 3, 1, 0, 4, 4, 1, 0, 2, 0, 2, 2, 2, 4, 2, 1, 4, 2, 1, 2, 0, 1, 3, 3, 0, 4, 3, 0, 3, 4, 1, 2, 0, 2, 0, 1, 3, 0, 1, 4, 3, 4, 2, 2, 1, 3, 3, 1, 3, 3, 3, 0, 0, 1, 4, 0, 2, 2, 4, 1, 0, 2, 2, 2, 3, 1, 3, 3, 2, 3, 4, 3, 0, 4, 4, 0, 0, 4, 4, 1, 1, 2, 2, 1, 4, 3, 0, 2, 0, 1, 4, 3, 0, 0, 3, 3, 3, 0, 0, 2, 3, 4, 3, 0, 3, 3, 1, 3, 0, 1, 1, 3, 2, 0, 1, 2, 4, 0, 3, 0, 1, 4, 1, 0, 4, 1, 4, 0, 3, 1, 1, 1, 4, 2, 2, 0, 2, 2, 3, 3, 0, 4, 2, 3, 3, 0, 3, 2, 0, 2, 0, 0, 2, 2, 0, 2, 4, 3, 2, 0, 3, 0, 1, 2, 3, 4, 1, 3, 3, 1, 1, 1, 2, 0, 3, 4, 2, 1, 2, 2, 0, 4, 4, 3, 1, 2, 4, 4, 1, 2, 3, 2, 3, 2, 0, 0, 1, 3, 1, 1, 1, 3, 4, 4, 4, 0, 3, 2, 3, 4, 4, 4, 0, 1, 4, 1, 2, 2, 1, 3, 4, 3, 1, 0, 4, 1, 1, 3, 3, 4, 3, 2, 3, 3, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 1, 3, 0, 3, 0, 4, 3, 0, 0, 0, 1, 3, 0, 1, 0, 1, 3, 4, 0, 2, 2, 4, 0, 3, 1, 3, 1, 1, 2, 4, 0, 4, 0, 1, 4, 0, 2, 3, 4, 0, 0, 4, 4, 1, 4, 0, 1, 0]
pubkeycol664 = [2, 4, 2, 2, 4, 3, 3, 2, 3, 0, 0, 0, 1, 0, 4, 4, 1, 4, 0, 2, 2, 4, 0, 0, 1, 0, 3, 3, 2, 0, 2, 2, 2, 3, 2, 4, 0, 4, 1, 3, 2, 2, 4, 0, 2, 3, 3, 3, 3, 2, 4, 1, 4, 3, 2, 3, 0, 3, 1, 2, 1, 4, 4, 4, 1, 0, 0, 4, 0, 2, 3, 3, 0, 3, 4, 3, 2, 2, 2, 4, 3, 3, 1, 2, 0, 1, 0, 2, 4, 1, 0, 1, 4, 1, 0, 1, 2, 3, 1, 0, 3, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 4, 4, 0, 0, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 4, 1, 0, 1, 3, 1, 4, 3, 0, 1, 4, 3, 4, 2, 2, 0, 4, 1, 1, 4, 0, 0, 0, 3, 2, 0, 2, 4, 3, 2, 4, 3, 2, 3, 1, 2, 0, 4, 1, 4, 3, 1, 3, 3, 0, 1, 1, 4, 1, 0, 3, 1, 1, 3, 4, 3, 4, 0, 0, 0, 4, 3, 2, 1, 3, 3, 3, 1, 0, 1, 1, 0, 1, 4, 4, 3, 4, 4, 1, 0, 3, 4, 3, 3, 0, 0, 3, 0, 4, 4, 2, 1, 0, 1, 3, 1, 4, 1, 3, 3, 0, 0, 1, 3, 3, 2, 3, 4, 4, 3, 1, 1, 2, 2, 1, 0, 2, 1, 3, 1, 3, 1, 4, 1, 4, 4, 0, 1, 0, 3, 2, 1, 4, 4, 3, 1, 0, 0, 2, 2, 2, 2, 3, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 4, 2, 4, 3, 3, 2, 4, 1, 0, 2, 3, 1, 3, 0, 2, 2, 1, 3, 4, 2, 2, 0, 2, 0, 2, 4, 2, 2, 2, 0, 3, 2, 1, 3, 0, 4, 1, 2, 4, 3, 1, 2, 2, 4, 0, 0, 1, 0, 0, 2, 0, 2, 3, 4, 2, 1, 1, 0, 4, 0, 3, 3, 4, 1, 2, 4, 2, 2, 1, 3, 2, 4, 1, 3, 1, 1, 3, 0, 3, 3, 4, 3, 0, 1, 2, 3, 1, 1, 4, 1, 3, 4, 4, 4, 2, 4, 4, 1, 1, 2, 3, 0, 0, 3, 1, 2, 1, 4, 0, 0, 1, 1, 0, 0, 3, 2, 2, 4, 2]
pubkeycol665 = [3, 1, 4, 4, 0, 2, 4, 4, 2, 3, 0, 0, 4, 2, 4, 1, 2, 3, 1, 4, 0, 1, 2, 3, 0, 3, 4, 2, 2, 3, 2, 4, 0, 1, 4, 0, 4, 4, 3, 4, 0, 0, 4, 1, 3, 1, 4, 1, 3, 3, 3, 4, 2, 4, 0, 3, 4, 4, 0, 3, 3, 4, 2, 3, 2, 1, 1, 3, 0, 0, 2, 4, 2, 2, 3, 1, 2, 3, 1, 1, 4, 3, 2, 2, 0, 0, 2, 2, 3, 0, 3, 4, 0, 1, 1, 1, 2, 4, 2, 4, 3, 2, 1, 0, 4, 1, 4, 0, 1, 3, 3, 1, 1, 3, 2, 4, 2, 1, 0, 0, 3, 1, 4, 0, 3, 1, 3, 3, 3, 0, 0, 3, 2, 1, 2, 1, 0, 3, 2, 4, 2, 3, 1, 4, 2, 1, 0, 3, 2, 3, 1, 1, 2, 0, 4, 3, 4, 3, 0, 4, 3, 4, 0, 0, 1, 1, 4, 0, 0, 4, 4, 3, 1, 1, 2, 1, 3, 0, 1, 1, 3, 3, 4, 2, 2, 3, 0, 4, 0, 0, 0, 1, 1, 0, 2, 3, 1, 4, 4, 4, 3, 2, 1, 3, 3, 3, 2, 2, 0, 1, 1, 3, 2, 1, 2, 2, 4, 2, 0, 3, 4, 1, 4, 2, 4, 3, 2, 1, 1, 0, 0, 2, 3, 1, 2, 3, 3, 4, 3, 0, 4, 3, 1, 4, 0, 0, 3, 1, 0, 4, 1, 1, 3, 1, 2, 4, 3, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 4, 4, 3, 2, 3, 1, 1, 4, 2, 0, 2, 3, 4, 2, 2, 2, 4, 4, 4, 1, 1, 0, 2, 2, 4, 2, 1, 3, 0, 2, 3, 1, 4, 0, 1, 1, 2, 4, 0, 3, 0, 2, 3, 1, 1, 2, 1, 3, 0, 4, 0, 0, 4, 1, 4, 3, 1, 2, 2, 4, 1, 0, 1, 2, 2, 2, 4, 2, 0, 4, 2, 4, 1, 0, 1, 0, 0, 2, 1, 0, 0, 3, 4, 2, 0, 2, 2, 3, 2, 0, 1, 2, 0, 3, 4, 1, 3, 2, 1, 1, 0, 1, 1, 2, 0, 2, 4, 4, 4, 2, 1, 2, 3, 1, 0, 1, 2, 1, 0, 3, 1, 4, 0, 3, 0, 4, 4, 0, 2, 2, 3, 4, 1]
pubkeycol666 = [3, 2, 1, 2, 3, 1, 0, 0, 1, 3, 4, 0, 0, 2, 2, 1, 2, 1, 0, 2, 3, 1, 0, 4, 4, 4, 2, 1, 3, 4, 3, 4, 3, 4, 0, 4, 2, 0, 1, 3, 1, 4, 4, 4, 1, 2, 3, 2, 3, 1, 3, 1, 3, 1, 4, 4, 0, 2, 1, 0, 4, 1, 4, 2, 1, 0, 0, 4, 3, 2, 2, 3, 1, 2, 0, 2, 1, 4, 0, 4, 2, 3, 4, 2, 0, 2, 2, 1, 4, 2, 1, 3, 3, 3, 3, 1, 1, 4, 3, 4, 2, 4, 3, 1, 2, 1, 1, 2, 4, 2, 4, 3, 4, 2, 0, 4, 1, 2, 1, 0, 1, 1, 1, 4, 2, 2, 2, 4, 0, 1, 3, 4, 1, 4, 4, 4, 3, 1, 1, 4, 1, 2, 2, 2, 3, 4, 2, 2, 4, 3, 1, 4, 3, 1, 4, 3, 1, 4, 0, 4, 3, 3, 1, 3, 3, 0, 1, 0, 2, 4, 2, 3, 0, 4, 4, 0, 0, 1, 2, 0, 0, 2, 0, 4, 3, 0, 3, 2, 0, 2, 2, 3, 3, 4, 4, 4, 1, 1, 2, 4, 2, 0, 1, 1, 3, 0, 2, 3, 3, 4, 3, 1, 0, 0, 0, 3, 2, 4, 3, 2, 3, 1, 3, 3, 1, 2, 1, 2, 4, 3, 1, 3, 4, 1, 0, 0, 3, 2, 2, 0, 0, 1, 4, 0, 4, 2, 4, 4, 4, 1, 0, 4, 2, 4, 2, 3, 1, 2, 2, 3, 3, 3, 1, 4, 1, 0, 4, 0, 1, 3, 2, 4, 1, 3, 3, 0, 4, 1, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 3, 1, 2, 0, 0, 4, 2, 4, 0, 4, 1, 4, 3, 3, 1, 4, 1, 0, 2, 4, 1, 0, 3, 4, 4, 3, 0, 1, 2, 1, 3, 3, 2, 4, 2, 1, 3, 4, 2, 1, 3, 2, 1, 0, 1, 3, 1, 3, 1, 1, 3, 4, 0, 2, 2, 4, 0, 3, 2, 1, 2, 4, 1, 3, 1, 3, 4, 4, 2, 4, 0, 4, 4, 4, 4, 2, 3, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 4, 3, 3, 4, 1, 0, 2, 2, 4, 2, 3, 3, 4, 2, 3, 2, 1, 2, 1, 1, 4, 2]
pubkeycol667 = [3, 0, 4, 3, 3, 1, 2, 4, 3, 3, 4, 0, 3, 4, 2, 0, 4, 0, 3, 4, 2, 3, 0, 0, 2, 2, 3, 4, 0, 1, 3, 0, 1, 0, 4, 2, 0, 3, 4, 2, 1, 2, 0, 3, 3, 0, 0, 2, 2, 2, 0, 3, 4, 1, 4, 2, 0, 0, 2, 3, 4, 2, 2, 2, 3, 2, 3, 0, 2, 1, 0, 1, 4, 4, 0, 0, 4, 0, 3, 3, 4, 1, 1, 2, 2, 3, 1, 3, 1, 0, 1, 3, 1, 2, 3, 1, 2, 2, 0, 2, 4, 1, 1, 1, 2, 3, 2, 2, 4, 2, 4, 1, 1, 4, 1, 2, 1, 4, 3, 0, 0, 2, 2, 4, 4, 0, 1, 3, 2, 3, 1, 3, 1, 1, 3, 3, 2, 2, 1, 4, 1, 2, 0, 1, 3, 0, 2, 0, 2, 4, 2, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 1, 4, 2, 0, 1, 0, 2, 1, 2, 0, 2, 4, 4, 2, 3, 1, 1, 3, 2, 0, 2, 0, 4, 2, 0, 4, 4, 2, 1, 1, 4, 4, 2, 1, 4, 0, 3, 2, 0, 0, 3, 0, 3, 0, 4, 2, 2, 0, 4, 0, 2, 2, 4, 3, 3, 1, 3, 0, 3, 0, 4, 1, 4, 0, 1, 2, 1, 3, 0, 0, 0, 3, 4, 1, 4, 2, 3, 4, 3, 1, 0, 1, 3, 2, 0, 2, 1, 4, 4, 0, 1, 4, 0, 0, 1, 1, 1, 0, 0, 1, 4, 2, 4, 2, 1, 3, 2, 3, 0, 3, 1, 2, 0, 2, 2, 0, 3, 1, 3, 3, 0, 3, 3, 1, 4, 4, 1, 2, 0, 3, 2, 3, 2, 0, 0, 2, 1, 4, 4, 4, 1, 3, 3, 4, 1, 4, 0, 4, 4, 2, 4, 4, 0, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 2, 1, 4, 3, 3, 2, 4, 3, 2, 4, 2, 0, 1, 3, 4, 2, 0, 3, 4, 2, 2, 2, 3, 3, 4, 3, 3, 4, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 3, 4, 3, 2, 0, 1, 4, 3, 2, 0, 4, 4, 1, 3, 1, 4, 3, 4, 1, 2, 4, 4, 3, 3, 0, 3, 2, 1, 1, 0, 0, 1, 2, 2]
pubkeycol668 = [3, 0, 3, 1, 3, 3, 0, 0, 4, 2, 4, 2, 1, 0, 2, 0, 3, 4, 2, 0, 1, 2, 4, 2, 1, 4, 3, 1, 0, 0, 3, 4, 2, 3, 0, 0, 2, 1, 1, 0, 2, 3, 2, 2, 3, 4, 1, 3, 1, 0, 4, 0, 4, 3, 4, 4, 1, 2, 2, 1, 0, 3, 2, 3, 1, 1, 1, 4, 4, 2, 0, 1, 0, 3, 3, 3, 3, 2, 2, 2, 1, 3, 4, 2, 3, 4, 0, 3, 2, 3, 4, 1, 4, 3, 4, 3, 4, 4, 4, 1, 3, 2, 2, 3, 0, 4, 1, 3, 1, 4, 2, 4, 0, 4, 0, 4, 4, 2, 1, 4, 3, 2, 2, 4, 4, 4, 0, 3, 1, 3, 2, 2, 3, 4, 4, 3, 3, 3, 4, 3, 0, 3, 0, 4, 1, 1, 2, 2, 2, 4, 1, 2, 2, 3, 1, 4, 2, 3, 4, 4, 4, 0, 4, 1, 4, 4, 1, 3, 1, 2, 1, 1, 1, 4, 0, 1, 4, 1, 0, 4, 1, 3, 3, 0, 3, 0, 1, 2, 3, 1, 2, 2, 3, 0, 1, 4, 4, 0, 2, 4, 3, 1, 3, 3, 4, 2, 4, 4, 0, 4, 0, 1, 1, 0, 4, 2, 0, 0, 2, 2, 1, 1, 4, 3, 2, 0, 1, 0, 3, 3, 4, 0, 3, 2, 2, 3, 0, 2, 4, 4, 1, 4, 0, 0, 3, 4, 3, 4, 2, 4, 2, 1, 4, 4, 1, 4, 1, 0, 2, 3, 4, 0, 1, 4, 0, 0, 1, 1, 1, 1, 1, 4, 2, 1, 0, 3, 2, 0, 3, 4, 3, 2, 3, 2, 0, 1, 0, 3, 2, 1, 3, 2, 0, 0, 1, 0, 4, 4, 3, 4, 2, 3, 3, 0, 2, 1, 0, 4, 2, 0, 1, 2, 4, 0, 2, 2, 3, 1, 2, 3, 0, 0, 4, 0, 3, 0, 0, 4, 1, 4, 0, 4, 1, 4, 0, 0, 4, 3, 1, 3, 0, 1, 3, 0, 4, 4, 0, 3, 2, 1, 1, 0, 1, 0, 2, 1, 3, 0, 3, 3, 3, 3, 1, 3, 4, 4, 0, 3, 2, 2, 1, 3, 1, 0, 3, 0, 2, 4, 1, 0, 2, 0, 1, 4, 3, 0, 3, 4, 3, 2, 3, 1, 3, 4, 2, 0, 4, 4, 4, 1]
pubkeycol669 = [2, 3, 4, 2, 4, 4, 3, 4, 2, 3, 0, 2, 1, 1, 4, 4, 2, 2, 4, 2, 2, 4, 1, 3, 0, 4, 4, 3, 1, 3, 2, 2, 2, 0, 3, 3, 2, 1, 2, 1, 3, 1, 1, 4, 0, 4, 1, 2, 2, 3, 1, 0, 3, 0, 1, 1, 4, 2, 3, 0, 2, 2, 4, 0, 1, 0, 1, 2, 4, 3, 4, 4, 0, 3, 4, 4, 4, 3, 0, 2, 4, 0, 4, 3, 0, 1, 0, 1, 0, 1, 4, 1, 4, 0, 3, 0, 2, 4, 1, 3, 2, 4, 1, 1, 0, 0, 1, 2, 3, 1, 4, 1, 2, 2, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 2, 4, 2, 1, 2, 3, 2, 4, 3, 4, 1, 3, 3, 1, 4, 4, 2, 1, 1, 3, 3, 2, 2, 2, 3, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 2, 1, 1, 0, 3, 4, 4, 1, 1, 1, 0, 1, 0, 1, 4, 0, 1, 3, 3, 2, 4, 1, 4, 2, 3, 1, 0, 2, 3, 4, 3, 0, 4, 3, 1, 1, 3, 2, 0, 1, 0, 4, 2, 1, 1, 2, 1, 0, 1, 4, 4, 0, 3, 1, 1, 4, 2, 0, 3, 0, 2, 4, 3, 4, 0, 2, 4, 0, 2, 1, 3, 3, 4, 1, 3, 1, 3, 2, 0, 2, 4, 4, 1, 4, 4, 4, 2, 3, 4, 4, 0, 1, 1, 1, 0, 4, 3, 3, 3, 4, 4, 3, 0, 3, 1, 0, 2, 1, 3, 0, 3, 3, 3, 2, 2, 0, 1, 2, 3, 4, 3, 2, 3, 0, 3, 2, 4, 1, 2, 4, 1, 1, 0, 4, 3, 2, 3, 1, 0, 4, 1, 0, 2, 3, 2, 4, 1, 1, 2, 3, 4, 3, 2, 2, 1, 1, 4, 1, 1, 2, 2, 0, 1, 1, 4, 2, 1, 3, 0, 1, 1, 3, 0, 0, 4, 0, 4, 0, 2, 1, 2, 0, 3, 3, 1, 1, 0, 0, 0, 3, 4, 0, 1, 4, 1, 0, 2, 1, 1, 1, 4, 2, 1, 0, 1, 3, 1, 2, 4, 0, 3, 1, 2, 3, 2, 2, 2, 1, 1, 3, 1, 4, 1, 1, 0, 4, 0, 4, 2, 1, 2, 1, 2, 4, 0, 4, 3, 0]
pubkeycol670 = [3, 1, 0, 0, 1, 0, 1, 2, 2, 0, 4, 2, 3, 1, 2, 0, 1, 3, 1, 1, 3, 3, 4, 4, 1, 1, 2, 2, 0, 4, 2, 0, 4, 2, 1, 1, 3, 0, 1, 3, 1, 4, 2, 4, 4, 3, 1, 1, 0, 4, 2, 2, 4, 2, 4, 2, 2, 2, 3, 3, 2, 4, 0, 2, 0, 4, 3, 3, 4, 3, 4, 3, 2, 1, 0, 0, 3, 0, 2, 3, 4, 1, 4, 3, 2, 0, 3, 4, 3, 3, 3, 3, 2, 0, 1, 4, 4, 1, 2, 4, 4, 4, 4, 2, 4, 3, 0, 4, 3, 2, 1, 2, 1, 3, 4, 4, 4, 3, 2, 1, 2, 0, 4, 0, 0, 2, 0, 4, 1, 4, 1, 2, 2, 4, 1, 4, 3, 3, 2, 3, 0, 4, 2, 3, 0, 3, 4, 4, 3, 3, 4, 2, 2, 2, 2, 0, 1, 1, 4, 2, 4, 3, 1, 4, 2, 4, 2, 3, 0, 2, 4, 0, 1, 1, 3, 0, 3, 0, 2, 0, 4, 3, 4, 4, 2, 0, 1, 0, 2, 4, 0, 1, 0, 2, 4, 3, 3, 2, 1, 2, 4, 3, 0, 0, 0, 4, 3, 1, 4, 3, 4, 4, 4, 2, 0, 2, 1, 2, 4, 1, 0, 0, 2, 4, 3, 0, 1, 4, 1, 1, 1, 0, 3, 4, 1, 0, 2, 1, 3, 1, 3, 4, 1, 3, 1, 4, 3, 2, 0, 1, 1, 2, 3, 3, 4, 1, 1, 2, 0, 3, 0, 0, 2, 1, 2, 2, 0, 1, 4, 3, 1, 2, 3, 0, 3, 0, 1, 0, 3, 3, 2, 1, 4, 2, 2, 0, 0, 2, 2, 1, 3, 1, 0, 1, 3, 1, 4, 0, 3, 3, 2, 3, 0, 3, 1, 1, 3, 0, 3, 4, 1, 1, 2, 2, 4, 1, 1, 3, 2, 3, 1, 2, 0, 2, 0, 3, 3, 3, 0, 4, 1, 2, 4, 4, 0, 4, 3, 0, 4, 2, 1, 1, 3, 3, 0, 2, 1, 1, 2, 0, 4, 4, 1, 4, 1, 2, 1, 2, 4, 1, 1, 1, 4, 4, 0, 1, 3, 2, 3, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 3, 3, 3, 2, 3, 1, 3, 4, 3, 0, 0, 4, 3, 1, 0, 4, 0, 4, 4, 1, 1]
pubkeycol671 = [2, 0, 3, 4, 0, 1, 3, 2, 3, 3, 4, 0, 2, 3, 0, 4, 4, 3, 2, 2, 1, 0, 0, 0, 4, 0, 0, 0, 4, 1, 2, 0, 2, 4, 1, 2, 3, 4, 3, 2, 2, 1, 3, 1, 2, 1, 1, 0, 0, 2, 2, 3, 1, 1, 1, 4, 1, 3, 2, 1, 2, 0, 0, 3, 3, 3, 1, 3, 1, 3, 0, 1, 1, 0, 2, 2, 1, 1, 3, 4, 3, 1, 1, 2, 3, 3, 2, 0, 1, 0, 1, 4, 1, 2, 4, 1, 2, 3, 2, 3, 0, 1, 4, 0, 3, 1, 1, 2, 1, 4, 4, 2, 0, 2, 3, 3, 1, 0, 4, 1, 0, 4, 3, 3, 3, 4, 4, 2, 2, 3, 3, 2, 3, 3, 1, 1, 1, 2, 1, 1, 2, 1, 3, 4, 1, 1, 2, 4, 0, 1, 4, 2, 1, 3, 3, 0, 1, 2, 1, 3, 0, 0, 1, 2, 4, 4, 0, 3, 2, 1, 2, 1, 3, 1, 3, 0, 4, 2, 1, 1, 3, 1, 4, 4, 1, 4, 2, 3, 4, 3, 0, 3, 0, 0, 1, 0, 1, 4, 4, 4, 0, 1, 1, 2, 3, 4, 2, 0, 3, 4, 3, 2, 2, 0, 2, 1, 1, 4, 1, 0, 4, 3, 3, 2, 4, 2, 3, 3, 0, 2, 1, 1, 2, 2, 0, 1, 3, 3, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 4, 2, 1, 1, 3, 4, 4, 4, 2, 0, 0, 3, 4, 1, 2, 4, 4, 2, 3, 3, 3, 4, 4, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 3, 2, 4, 2, 0, 3, 3, 1, 4, 3, 0, 1, 2, 4, 1, 2, 1, 3, 1, 4, 3, 0, 1, 2, 2, 1, 1, 1, 4, 0, 4, 3, 2, 4, 3, 3, 2, 4, 3, 1, 2, 1, 3, 3, 1, 3, 4, 2, 3, 0, 3, 4, 4, 3, 2, 4, 0, 1, 4, 0, 1, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 2, 4, 1, 4, 4, 2, 1, 3, 0, 0, 4, 4, 2, 4, 1, 0, 3, 4, 2, 3, 3, 1, 4, 3, 4, 2, 4, 4, 3, 1, 0, 4, 0, 4, 3, 1, 1, 3, 1, 1, 3, 1, 4]
pubkeycol672 = [3, 3, 2, 1, 0, 1, 1, 0, 2, 2, 3, 3, 2, 2, 3, 4, 4, 2, 3, 2, 1, 4, 0, 0, 3, 0, 1, 2, 4, 4, 2, 4, 4, 4, 2, 3, 0, 2, 1, 2, 0, 1, 4, 4, 2, 3, 4, 1, 0, 3, 1, 4, 3, 0, 1, 2, 3, 4, 2, 4, 0, 4, 3, 4, 0, 2, 4, 4, 1, 1, 4, 3, 3, 1, 0, 1, 4, 3, 2, 0, 3, 3, 2, 3, 2, 4, 0, 2, 2, 2, 3, 1, 0, 1, 3, 2, 0, 0, 0, 3, 2, 3, 0, 4, 4, 3, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 1, 0, 0, 2, 0, 3, 2, 1, 3, 3, 1, 3, 4, 0, 1, 1, 2, 0, 3, 3, 3, 3, 3, 1, 4, 2, 1, 2, 1, 1, 2, 2, 1, 4, 1, 2, 1, 1, 0, 0, 2, 2, 3, 1, 1, 1, 3, 3, 4, 0, 0, 4, 0, 4, 2, 3, 0, 1, 2, 3, 4, 3, 0, 2, 3, 1, 4, 1, 1, 0, 1, 4, 4, 3, 1, 2, 0, 1, 3, 4, 2, 3, 3, 2, 1, 3, 4, 0, 2, 2, 2, 2, 2, 4, 2, 0, 1, 3, 0, 3, 3, 2, 3, 0, 3, 1, 3, 4, 0, 2, 0, 2, 3, 3, 4, 3, 0, 0, 2, 3, 3, 4, 0, 3, 1, 2, 1, 3, 4, 4, 2, 3, 1, 2, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 0, 0, 2, 1, 0, 2, 4, 1, 2, 0, 2, 1, 2, 3, 2, 0, 3, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 3, 1, 4, 4, 4, 0, 4, 0, 0, 1, 3, 3, 4, 2, 4, 1, 2, 1, 0, 3, 3, 1, 1, 1, 4, 4, 2, 0, 4, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 4, 0, 0, 3, 3, 1, 2, 2, 2, 0, 3, 0, 0, 0, 0, 3, 4, 1, 4, 0, 4, 2, 1, 3, 4, 0, 3, 3, 2, 0, 4, 0, 3, 4, 3, 2, 0, 4, 2, 0, 3, 3, 1, 1, 2, 0, 4, 0, 0, 4, 3, 1, 4, 3, 0, 2, 0, 0, 3, 2, 2, 3, 4, 2, 1, 1, 0, 3, 1, 1]
pubkeycol673 = [4, 1, 0, 0, 2, 4, 1, 3, 3, 4, 1, 0, 0, 0, 3, 3, 2, 4, 4, 2, 1, 1, 2, 1, 4, 1, 1, 3, 0, 2, 2, 2, 3, 0, 2, 0, 0, 3, 4, 4, 1, 0, 4, 4, 1, 0, 4, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 3, 0, 1, 3, 0, 1, 4, 4, 1, 1, 3, 2, 4, 3, 2, 4, 4, 0, 1, 2, 4, 4, 0, 4, 0, 4, 1, 0, 0, 1, 4, 2, 4, 3, 3, 3, 4, 4, 0, 1, 3, 3, 4, 3, 0, 3, 3, 4, 2, 0, 3, 4, 1, 0, 3, 2, 3, 1, 4, 3, 3, 3, 1, 1, 1, 4, 1, 4, 2, 2, 2, 4, 0, 2, 3, 3, 0, 0, 1, 1, 0, 3, 0, 1, 2, 1, 2, 3, 0, 3, 2, 0, 1, 3, 1, 2, 2, 1, 4, 1, 2, 0, 3, 2, 2, 0, 3, 4, 0, 2, 3, 4, 0, 1, 3, 0, 2, 3, 0, 2, 2, 0, 3, 1, 3, 0, 4, 0, 2, 0, 2, 1, 3, 2, 1, 4, 3, 1, 3, 0, 1, 4, 4, 4, 3, 2, 1, 1, 1, 1, 0, 4, 3, 2, 4, 3, 3, 3, 4, 2, 0, 3, 2, 0, 2, 1, 2, 1, 2, 4, 1, 4, 3, 1, 2, 4, 3, 2, 4, 1, 1, 1, 2, 2, 1, 1, 2, 3, 4, 3, 0, 3, 0, 3, 2, 0, 4, 3, 1, 2, 1, 3, 0, 0, 1, 1, 2, 3, 1, 0, 4, 0, 2, 1, 2, 3, 0, 2, 2, 2, 1, 0, 2, 4, 3, 0, 3, 4, 4, 0, 2, 1, 2, 3, 0, 0, 2, 2, 2, 4, 4, 3, 2, 0, 0, 4, 2, 0, 4, 3, 0, 1, 3, 0, 2, 3, 3, 0, 4, 0, 3, 3, 4, 2, 2, 3, 4, 3, 2, 0, 1, 4, 2, 3, 1, 1, 1, 4, 2, 4, 3, 4, 3, 0, 1, 2, 4, 2, 3, 0, 4, 0, 4, 4, 1, 2, 2, 0, 4, 0, 2, 2, 1, 3, 3, 4, 3, 4, 3, 0, 2, 4, 4, 4, 0, 3, 0, 3, 2, 3, 3, 0, 1, 3, 1, 2, 0, 3, 2, 0, 1, 0, 3, 1, 1, 3, 3, 4, 1, 2, 0]
pubkeycol674 = [0, 4, 2, 3, 3, 4, 3, 1, 4, 1, 4, 4, 3, 1, 4, 2, 4, 3, 0, 4, 1, 4, 3, 1, 4, 2, 2, 4, 4, 2, 2, 4, 0, 3, 2, 0, 2, 4, 4, 2, 0, 0, 4, 4, 2, 2, 1, 3, 2, 3, 0, 2, 2, 4, 3, 4, 2, 0, 4, 3, 4, 0, 4, 3, 0, 1, 0, 4, 3, 0, 1, 2, 1, 2, 0, 0, 1, 4, 3, 1, 4, 0, 0, 2, 4, 4, 1, 3, 1, 0, 1, 2, 2, 3, 3, 1, 0, 3, 3, 0, 0, 2, 1, 2, 1, 0, 3, 1, 3, 4, 2, 0, 0, 0, 4, 2, 2, 3, 1, 0, 2, 0, 1, 4, 0, 1, 4, 1, 4, 2, 2, 1, 1, 2, 3, 4, 0, 2, 1, 2, 0, 1, 1, 4, 3, 2, 0, 4, 1, 2, 1, 3, 3, 0, 1, 0, 0, 2, 1, 4, 0, 1, 0, 1, 4, 1, 4, 4, 0, 1, 2, 4, 0, 3, 0, 1, 4, 0, 1, 0, 1, 4, 1, 3, 1, 1, 4, 0, 2, 3, 4, 2, 2, 1, 2, 3, 0, 2, 2, 1, 0, 4, 2, 4, 3, 4, 3, 3, 0, 0, 4, 1, 3, 1, 2, 1, 3, 3, 3, 4, 0, 2, 2, 1, 2, 2, 3, 0, 2, 2, 1, 4, 2, 4, 4, 3, 3, 1, 3, 0, 2, 1, 1, 3, 2, 2, 0, 1, 1, 1, 1, 0, 3, 0, 4, 4, 4, 2, 2, 1, 3, 2, 0, 0, 1, 1, 2, 4, 3, 1, 4, 0, 3, 0, 4, 3, 4, 1, 0, 3, 1, 3, 2, 3, 2, 0, 2, 3, 4, 4, 0, 4, 0, 4, 0, 1, 3, 0, 4, 4, 3, 1, 2, 2, 0, 1, 2, 4, 4, 3, 3, 4, 1, 2, 1, 0, 4, 2, 2, 0, 0, 3, 4, 1, 4, 1, 1, 0, 3, 1, 3, 4, 2, 0, 0, 4, 3, 4, 0, 2, 2, 4, 3, 1, 1, 4, 3, 4, 2, 1, 0, 3, 2, 4, 3, 1, 0, 1, 3, 2, 4, 0, 4, 0, 3, 0, 4, 1, 1, 2, 0, 0, 2, 4, 4, 4, 3, 0, 1, 1, 4, 0, 1, 0, 2, 0, 4, 3, 2, 3, 0, 1, 2, 0, 1, 4, 2, 3, 1, 2]
pubkeycol675 = [3, 3, 0, 3, 0, 4, 0, 2, 4, 1, 0, 3, 2, 0, 4, 0, 4, 0, 0, 2, 4, 2, 3, 3, 2, 4, 2, 4, 2, 0, 3, 1, 4, 2, 4, 2, 4, 1, 4, 3, 2, 0, 4, 1, 3, 3, 4, 3, 0, 1, 2, 4, 2, 0, 3, 2, 3, 1, 1, 4, 4, 0, 2, 2, 4, 3, 2, 0, 4, 2, 2, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 0, 0, 1, 4, 1, 4, 2, 1, 1, 0, 0, 4, 3, 2, 0, 2, 1, 4, 0, 0, 1, 0, 1, 0, 1, 1, 4, 0, 0, 1, 3, 4, 1, 0, 2, 0, 1, 1, 4, 4, 2, 0, 2, 4, 2, 4, 2, 2, 4, 4, 3, 4, 0, 0, 2, 4, 0, 4, 1, 2, 4, 0, 0, 0, 0, 1, 2, 4, 0, 4, 1, 1, 2, 1, 0, 0, 2, 3, 3, 0, 0, 1, 1, 2, 4, 3, 0, 2, 1, 1, 3, 4, 1, 4, 4, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 4, 0, 2, 2, 3, 2, 2, 3, 0, 0, 1, 1, 0, 2, 0, 3, 0, 4, 3, 0, 4, 4, 4, 1, 4, 2, 3, 1, 1, 0, 0, 1, 2, 3, 1, 2, 0, 3, 2, 0, 4, 2, 1, 4, 2, 3, 0, 2, 3, 4, 4, 0, 1, 3, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 3, 3, 3, 3, 0, 4, 2, 4, 0, 4, 3, 4, 4, 1, 0, 0, 1, 3, 4, 0, 3, 1, 4, 2, 3, 0, 0, 1, 0, 1, 3, 4, 4, 4, 4, 2, 1, 4, 2, 4, 0, 2, 0, 1, 0, 2, 1, 3, 2, 0, 0, 1, 1, 4, 0, 3, 0, 2, 4, 3, 4, 2, 2, 0, 4, 2, 2, 0, 3, 0, 3, 2, 2, 1, 4, 4, 3, 0, 1, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 4, 1, 4, 2, 3, 0, 0, 3, 3, 1, 0, 0, 3, 0, 2, 2, 0, 2, 4, 3, 1, 2, 2, 0, 3, 3, 0, 1, 1, 4, 2, 3, 0, 2, 0, 0, 4, 2, 4, 3, 4, 2, 2, 0, 0, 2, 3, 0, 3, 2, 2, 1, 2, 1, 3]
pubkeycol676 = [0, 0, 3, 4, 4, 2, 1, 0, 3, 4, 3, 3, 2, 4, 3, 0, 3, 2, 3, 2, 4, 0, 1, 4, 4, 2, 2, 4, 3, 1, 0, 3, 2, 4, 2, 0, 3, 0, 0, 3, 2, 3, 2, 3, 4, 4, 1, 4, 3, 0, 2, 0, 2, 4, 3, 1, 4, 4, 0, 0, 4, 3, 0, 0, 3, 4, 0, 4, 2, 4, 4, 1, 4, 2, 2, 1, 2, 2, 3, 2, 3, 3, 4, 4, 1, 2, 0, 2, 1, 2, 2, 3, 4, 4, 0, 0, 3, 4, 4, 0, 4, 1, 3, 0, 3, 3, 4, 1, 2, 1, 4, 2, 4, 3, 4, 1, 4, 1, 0, 2, 4, 1, 2, 2, 0, 3, 3, 3, 3, 0, 2, 4, 1, 0, 0, 2, 4, 0, 1, 0, 2, 1, 0, 4, 1, 1, 1, 0, 2, 4, 1, 4, 4, 1, 1, 0, 4, 1, 2, 3, 3, 1, 1, 2, 1, 3, 3, 0, 3, 1, 2, 4, 2, 3, 2, 4, 2, 3, 3, 0, 3, 1, 4, 2, 0, 4, 4, 3, 3, 0, 2, 3, 1, 2, 1, 3, 0, 4, 3, 4, 0, 0, 3, 4, 2, 3, 4, 0, 2, 4, 1, 0, 3, 3, 4, 0, 3, 0, 1, 2, 0, 2, 0, 3, 2, 3, 2, 4, 3, 2, 2, 4, 4, 1, 0, 3, 2, 1, 1, 0, 3, 2, 1, 1, 1, 1, 0, 4, 0, 3, 1, 3, 0, 2, 3, 4, 4, 4, 0, 2, 4, 1, 4, 2, 4, 3, 0, 3, 1, 2, 2, 0, 0, 4, 1, 1, 1, 3, 4, 3, 3, 0, 1, 0, 1, 4, 4, 4, 4, 2, 0, 4, 2, 3, 3, 3, 0, 3, 1, 0, 1, 3, 0, 4, 4, 2, 4, 1, 4, 2, 1, 2, 3, 3, 1, 1, 2, 4, 3, 0, 0, 2, 2, 0, 0, 2, 4, 2, 2, 2, 4, 2, 4, 3, 2, 2, 3, 4, 1, 3, 1, 0, 4, 1, 2, 3, 2, 2, 0, 1, 3, 2, 3, 0, 4, 0, 2, 1, 0, 2, 4, 1, 2, 4, 3, 1, 4, 3, 0, 2, 3, 3, 1, 2, 1, 3, 1, 3, 4, 1, 0, 0, 3, 0, 3, 2, 0, 1, 3, 1, 3, 2, 3, 1, 0, 3, 2, 3, 1, 0]
pubkeycol677 = [2, 0, 1, 2, 4, 4, 0, 2, 4, 1, 1, 0, 2, 0, 1, 3, 2, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 3, 3, 4, 1, 4, 4, 3, 4, 3, 0, 2, 2, 1, 3, 1, 2, 3, 3, 3, 0, 4, 1, 1, 4, 4, 3, 3, 3, 1, 0, 3, 2, 1, 1, 4, 3, 0, 4, 1, 3, 0, 2, 1, 2, 4, 1, 3, 1, 1, 1, 3, 4, 4, 2, 0, 1, 4, 2, 1, 4, 4, 4, 2, 2, 2, 3, 3, 1, 2, 0, 4, 1, 0, 1, 2, 4, 2, 2, 0, 3, 3, 4, 1, 3, 2, 1, 2, 2, 1, 1, 1, 3, 3, 0, 3, 1, 4, 4, 2, 1, 2, 2, 4, 1, 1, 3, 0, 4, 1, 1, 1, 2, 3, 3, 0, 3, 3, 2, 2, 4, 3, 1, 2, 1, 1, 2, 2, 0, 3, 3, 2, 4, 1, 2, 0, 1, 1, 1, 3, 1, 1, 1, 4, 4, 1, 4, 1, 1, 1, 4, 4, 4, 2, 4, 3, 0, 0, 3, 3, 4, 4, 3, 4, 4, 2, 0, 0, 2, 3, 1, 4, 1, 1, 1, 1, 4, 2, 0, 4, 3, 1, 0, 1, 0, 1, 4, 0, 3, 0, 4, 2, 4, 4, 1, 3, 0, 0, 1, 0, 0, 0, 3, 1, 1, 0, 1, 4, 2, 4, 1, 3, 2, 3, 1, 2, 4, 4, 0, 2, 0, 3, 1, 1, 3, 3, 4, 3, 3, 3, 1, 3, 2, 2, 4, 4, 0, 3, 4, 1, 0, 0, 1, 2, 1, 0, 1, 3, 3, 3, 1, 1, 4, 3, 2, 3, 2, 1, 0, 1, 2, 4, 3, 0, 2, 4, 2, 2, 3, 1, 4, 2, 4, 4, 0, 4, 3, 2, 0, 3, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 4, 1, 4, 4, 0, 4, 3, 1, 3, 4, 1, 2, 0, 1, 0, 2, 3, 0, 1, 2, 0, 4, 0, 0, 4, 1, 4, 2, 1, 4, 4, 1, 0, 0, 1, 3, 0, 4, 3, 2, 1, 1, 2, 0, 4, 1, 3, 1, 1, 1, 2, 3, 1, 2, 3, 3, 3, 1, 0, 0, 4, 1, 2, 2, 2, 0, 0, 0, 2, 3, 4, 0, 3, 4, 1, 1, 2, 3, 2, 1, 3, 3, 3, 1]
pubkeycol678 = [0, 4, 3, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 3, 0, 1, 3, 0, 1, 0, 1, 3, 4, 4, 1, 0, 4, 3, 4, 1, 3, 3, 3, 1, 0, 4, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 4, 1, 2, 3, 2, 0, 3, 2, 1, 1, 1, 3, 2, 3, 3, 2, 3, 0, 1, 1, 3, 4, 2, 1, 1, 1, 4, 2, 3, 4, 2, 1, 0, 3, 1, 0, 1, 1, 1, 0, 2, 2, 4, 0, 1, 1, 3, 2, 0, 2, 2, 4, 0, 4, 0, 4, 4, 1, 1, 0, 3, 3, 2, 3, 4, 2, 2, 2, 4, 3, 2, 2, 2, 0, 4, 0, 3, 2, 0, 0, 2, 0, 4, 2, 0, 3, 2, 2, 4, 0, 1, 1, 3, 1, 3, 2, 1, 0, 1, 3, 3, 2, 4, 0, 0, 3, 0, 3, 3, 2, 2, 1, 2, 3, 4, 4, 1, 3, 1, 2, 3, 1, 4, 4, 1, 0, 1, 4, 0, 4, 3, 2, 3, 3, 3, 0, 1, 1, 3, 2, 0, 2, 2, 3, 0, 2, 0, 2, 4, 1, 3, 0, 4, 2, 1, 4, 4, 2, 1, 0, 1, 1, 2, 0, 4, 0, 3, 2, 3, 0, 4, 1, 4, 1, 0, 4, 1, 1, 4, 4, 4, 3, 1, 3, 0, 3, 2, 0, 2, 3, 1, 4, 4, 0, 2, 3, 3, 4, 3, 0, 4, 4, 2, 1, 1, 1, 3, 3, 2, 4, 3, 1, 0, 3, 1, 2, 4, 0, 2, 1, 4, 0, 3, 3, 3, 1, 3, 1, 1, 0, 3, 1, 2, 1, 0, 1, 0, 4, 0, 0, 2, 1, 3, 2, 3, 3, 3, 3, 3, 4, 1, 4, 1, 4, 4, 2, 4, 3, 4, 1, 4, 3, 2, 1, 2, 3, 0, 1, 2, 2, 1, 3, 4, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 3, 1, 4, 2, 0, 1, 0, 4, 2, 2, 2, 3, 2, 2, 0, 1, 4, 1, 3, 2, 4, 2, 3, 1, 0, 1, 3, 1, 4, 0, 1, 1, 3, 3, 3, 0, 0, 2, 2, 2, 0, 3, 4, 3, 3, 4, 4, 0, 0, 4, 2, 3, 4, 2, 2, 4, 0, 3, 1, 0, 2]
pubkeycol679 = [1, 1, 1, 3, 4, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 3, 0, 1, 0, 0, 1, 0, 0, 4, 1, 4, 1, 2, 4, 2, 3, 0, 0, 3, 3, 0, 1, 2, 3, 1, 3, 1, 1, 4, 3, 1, 2, 0, 1, 4, 1, 2, 1, 3, 3, 4, 2, 2, 2, 0, 3, 4, 4, 4, 4, 2, 4, 4, 2, 1, 0, 3, 3, 0, 1, 0, 4, 0, 1, 3, 4, 4, 4, 2, 0, 2, 2, 0, 4, 2, 4, 0, 0, 3, 4, 3, 3, 0, 0, 4, 2, 4, 0, 3, 4, 4, 3, 0, 2, 2, 1, 0, 2, 1, 1, 3, 2, 3, 4, 1, 0, 0, 3, 2, 4, 2, 4, 0, 2, 0, 1, 3, 1, 3, 2, 2, 2, 1, 1, 2, 0, 2, 4, 0, 2, 4, 1, 1, 0, 4, 3, 1, 3, 3, 2, 0, 3, 1, 1, 1, 4, 1, 4, 0, 3, 2, 3, 4, 1, 0, 3, 2, 1, 1, 2, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 0, 1, 2, 3, 4, 0, 3, 2, 4, 0, 1, 0, 1, 0, 1, 1, 4, 0, 4, 1, 0, 1, 4, 3, 3, 2, 4, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 4, 2, 3, 4, 0, 1, 3, 1, 2, 1, 1, 0, 0, 0, 3, 3, 1, 4, 0, 2, 3, 0, 3, 1, 0, 3, 4, 3, 3, 4, 1, 0, 3, 3, 0, 3, 0, 1, 2, 4, 4, 0, 3, 4, 0, 0, 1, 2, 3, 1, 1, 2, 4, 4, 4, 1, 2, 2, 4, 4, 2, 0, 2, 3, 3, 3, 4, 4, 2, 4, 1, 4, 3, 3, 2, 0, 2, 4, 1, 4, 2, 1, 0, 2, 1, 3, 1, 1, 3, 1, 3, 0, 3, 3, 0, 2, 3, 3, 1, 1, 0, 0, 4, 3, 3, 4, 0, 1, 3, 3, 3, 4, 3, 1, 1, 4, 1, 4, 1, 2, 3, 0, 1, 2, 1, 0, 2, 2, 4, 3, 2, 0, 3, 4, 2, 2, 0, 0, 1, 1, 0, 3, 4, 2, 3, 3, 3, 4, 4, 3, 1, 1, 4, 3, 2, 0, 1, 0, 4, 4, 4, 4]
pubkeycol680 = [2, 4, 1, 1, 0, 0, 4, 3, 3, 3, 0, 4, 3, 2, 2, 1, 2, 0, 1, 0, 1, 4, 0, 1, 2, 0, 2, 0, 4, 3, 1, 1, 2, 3, 1, 0, 4, 4, 2, 4, 2, 3, 4, 3, 2, 0, 4, 0, 2, 3, 0, 1, 0, 4, 3, 0, 0, 0, 4, 3, 4, 3, 4, 4, 1, 4, 4, 1, 2, 4, 3, 1, 1, 3, 0, 0, 0, 4, 2, 3, 0, 1, 1, 4, 3, 3, 0, 3, 0, 1, 1, 3, 0, 0, 2, 3, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 4, 1, 2, 3, 3, 4, 0, 0, 2, 1, 1, 0, 4, 3, 4, 0, 3, 1, 4, 3, 3, 1, 2, 4, 3, 2, 1, 1, 4, 4, 2, 3, 0, 4, 3, 1, 1, 2, 1, 0, 3, 4, 4, 2, 1, 2, 4, 4, 1, 4, 1, 1, 0, 2, 2, 2, 2, 3, 4, 4, 1, 3, 0, 4, 0, 2, 1, 2, 0, 2, 0, 3, 4, 3, 3, 2, 3, 2, 3, 4, 0, 4, 4, 2, 2, 4, 1, 4, 2, 0, 2, 4, 0, 2, 0, 1, 1, 4, 4, 1, 0, 0, 2, 4, 1, 2, 0, 0, 0, 4, 2, 4, 3, 0, 2, 2, 0, 4, 4, 0, 1, 3, 3, 1, 0, 1, 3, 0, 2, 2, 0, 2, 4, 4, 1, 2, 4, 3, 2, 4, 3, 1, 4, 4, 1, 4, 0, 1, 2, 3, 2, 3, 2, 2, 0, 4, 3, 2, 0, 4, 2, 2, 4, 3, 0, 4, 3, 1, 1, 0, 1, 0, 2, 0, 0, 3, 2, 1, 2, 3, 4, 0, 1, 4, 3, 4, 3, 2, 1, 3, 1, 3, 0, 0, 3, 0, 0, 2, 3, 3, 4, 1, 1, 2, 0, 3, 4, 1, 0, 1, 2, 0, 3, 3, 0, 4, 4, 4, 1, 4, 1, 2, 3, 1, 4, 1, 2, 4, 1, 4, 0, 3, 4, 0, 4, 2, 4, 2, 2, 3, 2, 2, 1, 0, 1, 1, 4, 2, 3, 3, 0, 0, 2, 0, 4, 2, 2, 4, 0, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 2, 1, 3, 1, 0, 4, 4, 0, 4, 3, 0, 3, 4, 0, 2, 3, 0, 3, 0, 0, 0, 1]
pubkeycol681 = [0, 3, 2, 3, 3, 0, 3, 3, 2, 4, 3, 0, 3, 1, 3, 4, 4, 0, 3, 3, 4, 4, 2, 3, 4, 0, 2, 0, 3, 2, 3, 4, 3, 4, 2, 3, 0, 0, 1, 3, 3, 0, 4, 0, 4, 2, 2, 2, 4, 1, 1, 3, 3, 2, 4, 3, 1, 1, 2, 0, 4, 1, 2, 2, 2, 1, 4, 0, 2, 1, 1, 0, 3, 1, 4, 3, 3, 3, 2, 2, 2, 4, 2, 0, 4, 0, 4, 3, 2, 3, 2, 1, 1, 1, 2, 4, 2, 4, 2, 2, 0, 2, 0, 4, 3, 3, 3, 1, 3, 0, 3, 2, 0, 3, 3, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 3, 1, 0, 2, 4, 2, 3, 2, 3, 2, 4, 1, 4, 2, 1, 1, 2, 0, 3, 4, 1, 3, 1, 3, 0, 2, 0, 3, 2, 3, 3, 3, 2, 0, 4, 4, 1, 1, 4, 4, 0, 2, 1, 2, 1, 3, 0, 0, 2, 3, 2, 1, 3, 4, 2, 2, 1, 3, 4, 1, 0, 3, 3, 3, 0, 2, 1, 0, 2, 2, 3, 4, 3, 0, 4, 1, 1, 2, 2, 3, 0, 3, 1, 0, 3, 2, 4, 1, 0, 0, 4, 3, 2, 1, 4, 1, 3, 0, 0, 4, 0, 1, 0, 0, 2, 4, 2, 2, 3, 3, 1, 2, 0, 2, 0, 3, 4, 2, 0, 0, 2, 1, 3, 1, 2, 0, 3, 1, 1, 1, 2, 0, 3, 4, 3, 0, 4, 3, 3, 2, 2, 4, 2, 3, 4, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 3, 1, 2, 4, 3, 0, 2, 3, 0, 1, 1, 4, 3, 1, 3, 1, 3, 2, 0, 3, 0, 3, 1, 4, 3, 2, 1, 3, 1, 4, 0, 0, 3, 2, 4, 2, 1, 1, 1, 0, 2, 1, 4, 2, 4, 2, 0, 1, 4, 2, 4, 1, 1, 1, 0, 3, 2, 2, 3, 4, 0, 3, 2, 1, 2, 4, 4, 2, 1, 2, 2, 1, 0, 3, 3, 4, 3, 3, 4, 0, 1, 2, 0, 4, 1, 3, 3, 0, 2, 2, 3, 4, 1, 4, 1, 0, 1, 1, 0, 2, 4, 1, 1, 1, 3, 2, 1, 2, 0, 1, 0, 4, 4, 1, 3, 0, 3, 2]
pubkeycol682 = [1, 0, 3, 4, 4, 1, 4, 2, 3, 3, 2, 1, 2, 1, 1, 2, 3, 0, 2, 3, 3, 2, 1, 4, 2, 3, 4, 4, 0, 0, 2, 1, 3, 1, 1, 0, 3, 2, 0, 2, 2, 4, 4, 1, 1, 0, 1, 2, 1, 3, 1, 4, 2, 2, 1, 1, 0, 0, 2, 4, 3, 0, 0, 2, 0, 1, 1, 2, 1, 4, 3, 3, 3, 0, 4, 1, 1, 1, 1, 2, 4, 0, 4, 0, 1, 4, 2, 2, 3, 4, 2, 0, 0, 4, 0, 1, 3, 3, 4, 4, 0, 1, 1, 4, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 4, 3, 4, 0, 1, 0, 4, 4, 0, 1, 1, 3, 4, 4, 0, 3, 4, 1, 4, 1, 0, 1, 3, 1, 2, 1, 1, 2, 1, 0, 4, 1, 4, 3, 2, 0, 4, 3, 0, 3, 2, 2, 2, 3, 2, 4, 1, 1, 0, 2, 0, 1, 4, 0, 1, 2, 2, 2, 0, 4, 4, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 4, 2, 0, 2, 1, 0, 2, 0, 2, 3, 2, 0, 1, 0, 0, 1, 0, 3, 3, 2, 1, 3, 1, 2, 1, 1, 4, 2, 2, 0, 1, 3, 4, 2, 4, 1, 2, 1, 4, 4, 4, 3, 2, 1, 1, 4, 3, 3, 1, 2, 0, 1, 0, 4, 2, 3, 1, 3, 2, 2, 0, 1, 4, 3, 4, 1, 4, 3, 1, 3, 1, 0, 0, 4, 0, 0, 4, 3, 4, 4, 4, 0, 1, 1, 3, 1, 1, 4, 1, 1, 1, 0, 4, 1, 4, 3, 1, 0, 4, 4, 0, 2, 2, 2, 4, 2, 2, 3, 1, 0, 3, 0, 0, 2, 2, 1, 3, 4, 3, 0, 1, 4, 0, 3, 0, 4, 4, 3, 0, 2, 0, 0, 3, 4, 3, 3, 0, 1, 2, 2, 4, 2, 3, 2, 1, 4, 3, 3, 4, 3, 1, 2, 4, 1, 0, 1, 4, 3, 4, 2, 3, 4, 0, 0, 2, 1, 4, 0, 3, 4, 3, 2, 1, 0, 3, 3, 2, 1, 0, 2, 2, 0, 1, 2, 4, 1, 1, 0, 0, 0, 0, 4, 1, 4, 2, 3, 3, 3, 1, 4, 1, 3, 3, 4, 2, 3, 1, 3, 0, 2, 3, 2, 2, 1, 2]
pubkeycol683 = [3, 2, 4, 2, 0, 1, 0, 4, 0, 1, 3, 3, 4, 2, 4, 1, 4, 1, 3, 3, 4, 3, 4, 0, 0, 4, 3, 3, 1, 2, 1, 2, 1, 4, 2, 3, 1, 2, 3, 2, 2, 0, 4, 0, 1, 1, 2, 0, 4, 4, 1, 1, 3, 1, 3, 2, 1, 2, 2, 2, 1, 3, 4, 1, 4, 2, 0, 3, 3, 1, 4, 0, 3, 4, 1, 0, 1, 4, 4, 4, 0, 3, 1, 4, 4, 4, 2, 0, 4, 1, 2, 0, 2, 0, 1, 4, 0, 4, 0, 2, 2, 4, 0, 2, 4, 3, 3, 2, 1, 4, 2, 2, 0, 0, 2, 0, 3, 1, 1, 1, 1, 2, 4, 3, 2, 0, 3, 1, 3, 3, 0, 4, 4, 2, 3, 1, 0, 0, 2, 0, 4, 2, 3, 0, 2, 2, 3, 1, 4, 4, 3, 2, 1, 0, 1, 1, 0, 3, 0, 1, 2, 1, 0, 1, 0, 4, 3, 4, 4, 0, 1, 0, 4, 1, 0, 1, 4, 3, 3, 4, 4, 4, 3, 3, 0, 1, 1, 2, 0, 1, 1, 4, 1, 4, 3, 0, 2, 0, 0, 3, 4, 0, 4, 1, 1, 4, 3, 1, 0, 1, 2, 4, 3, 3, 3, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 4, 2, 1, 3, 2, 4, 3, 2, 1, 3, 4, 0, 1, 4, 3, 4, 0, 0, 3, 3, 0, 0, 2, 2, 1, 3, 2, 4, 3, 1, 2, 4, 4, 0, 2, 1, 0, 3, 2, 1, 0, 2, 3, 1, 2, 3, 3, 4, 4, 1, 1, 1, 3, 0, 0, 1, 2, 1, 1, 3, 2, 0, 0, 3, 2, 3, 3, 3, 1, 4, 4, 3, 0, 0, 0, 2, 0, 1, 4, 3, 1, 0, 4, 4, 0, 3, 1, 2, 2, 1, 3, 1, 4, 3, 4, 4, 1, 0, 1, 1, 2, 0, 2, 0, 0, 3, 3, 3, 1, 1, 1, 2, 3, 2, 2, 0, 4, 1, 2, 2, 1, 3, 1, 1, 0, 0, 4, 1, 0, 0, 0, 0, 2, 4, 4, 1, 2, 4, 2, 3, 0, 0, 2, 4, 4, 2, 4, 4, 2, 1, 4, 4, 2, 0, 0, 2, 4, 0, 4, 2, 1, 0, 2, 0, 3, 1, 4, 2, 4, 4, 2, 1, 1, 4]
pubkeycol684 = [4, 0, 0, 4, 3, 1, 0, 2, 2, 3, 3, 4, 0, 1, 0, 3, 4, 1, 3, 4, 2, 4, 0, 3, 1, 4, 1, 2, 0, 3, 0, 3, 4, 1, 4, 1, 0, 0, 2, 0, 0, 2, 4, 2, 0, 4, 2, 1, 0, 0, 3, 1, 0, 2, 3, 0, 3, 3, 0, 1, 1, 4, 0, 2, 2, 3, 1, 1, 2, 0, 0, 1, 3, 1, 4, 1, 1, 1, 4, 0, 3, 2, 3, 2, 4, 3, 4, 4, 0, 4, 4, 3, 3, 4, 1, 2, 4, 0, 0, 4, 3, 4, 3, 0, 3, 4, 0, 2, 1, 1, 3, 1, 3, 0, 3, 1, 4, 4, 4, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 3, 3, 3, 3, 1, 4, 3, 1, 2, 4, 1, 3, 2, 4, 2, 2, 1, 4, 4, 2, 2, 0, 4, 2, 3, 1, 4, 1, 0, 1, 0, 0, 3, 1, 3, 1, 0, 1, 3, 0, 2, 3, 4, 3, 2, 4, 0, 4, 1, 1, 3, 3, 3, 4, 4, 2, 0, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 4, 0, 0, 1, 2, 0, 3, 1, 3, 3, 1, 3, 1, 3, 3, 2, 1, 1, 0, 1, 3, 0, 2, 0, 2, 4, 1, 4, 4, 3, 2, 4, 4, 3, 1, 3, 0, 3, 2, 4, 4, 1, 1, 4, 1, 4, 0, 2, 0, 1, 4, 2, 2, 4, 4, 1, 4, 4, 2, 3, 1, 4, 4, 3, 4, 2, 2, 2, 0, 4, 0, 3, 0, 2, 4, 2, 4, 4, 4, 4, 2, 1, 1, 0, 2, 3, 1, 4, 0, 3, 2, 4, 2, 1, 0, 0, 3, 0, 0, 2, 3, 3, 2, 0, 2, 3, 3, 3, 3, 0, 4, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 3, 1, 0, 4, 0, 1, 3, 3, 2, 3, 2, 0, 0, 3, 4, 3, 2, 0, 2, 1, 1, 4, 4, 4, 1, 1, 4, 4, 0, 2, 4, 0, 4, 3, 2, 0, 4, 1, 3, 4, 0, 4, 0, 2, 4, 4, 2, 1, 1, 4, 1, 4, 2, 2, 0, 3, 0, 3, 2, 4, 4, 4, 0, 2, 4, 4, 4, 4, 1, 0, 3, 1, 2, 3, 4, 3, 3, 1, 4, 2, 1]
pubkeycol685 = [4, 0, 1, 3, 1, 2, 0, 3, 1, 1, 4, 2, 4, 2, 3, 2, 1, 2, 4, 4, 1, 3, 1, 1, 1, 3, 2, 4, 2, 4, 3, 0, 3, 3, 1, 3, 0, 4, 1, 4, 1, 0, 3, 1, 3, 2, 2, 3, 0, 0, 3, 4, 3, 1, 1, 3, 3, 0, 3, 1, 1, 4, 0, 4, 3, 0, 2, 1, 1, 2, 4, 0, 2, 0, 0, 3, 3, 2, 1, 2, 2, 3, 1, 2, 3, 4, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 3, 0, 3, 3, 3, 4, 3, 4, 1, 0, 1, 0, 3, 4, 4, 0, 3, 4, 3, 4, 3, 2, 0, 1, 3, 1, 3, 3, 3, 3, 3, 4, 1, 4, 3, 4, 2, 0, 4, 2, 2, 3, 4, 1, 2, 2, 4, 2, 4, 1, 3, 3, 2, 3, 1, 3, 4, 2, 0, 3, 4, 2, 4, 3, 0, 2, 4, 1, 4, 3, 3, 4, 1, 1, 4, 4, 4, 4, 1, 0, 3, 1, 0, 0, 1, 4, 1, 3, 2, 3, 0, 3, 1, 4, 0, 3, 3, 4, 1, 4, 3, 4, 1, 2, 3, 3, 3, 2, 3, 1, 0, 0, 1, 3, 2, 1, 4, 4, 1, 4, 2, 1, 2, 1, 2, 2, 2, 1, 3, 2, 0, 4, 4, 4, 1, 1, 2, 1, 0, 3, 4, 4, 0, 3, 3, 0, 4, 1, 0, 1, 4, 0, 4, 4, 1, 2, 0, 4, 4, 0, 4, 1, 0, 1, 3, 1, 2, 0, 4, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 4, 2, 3, 3, 4, 4, 4, 3, 4, 0, 1, 4, 2, 3, 3, 3, 0, 2, 4, 3, 3, 4, 1, 1, 4, 2, 3, 4, 3, 0, 2, 4, 0, 2, 3, 1, 0, 0, 1, 3, 4, 1, 2, 1, 4, 3, 2, 3, 0, 1, 0, 4, 2, 0, 4, 3, 4, 3, 0, 2, 4, 0, 0, 2, 3, 0, 1, 3, 4, 3, 0, 4, 3, 4, 0, 3, 0, 4, 1, 4, 0, 3, 1, 1, 3, 4, 3, 2, 2, 3, 3, 0, 1, 3, 1, 2, 4, 3, 1, 2, 4, 1, 3, 1, 2, 2, 0, 4, 2, 0, 1, 4, 1, 0, 2]
pubkeycol686 = [2, 4, 3, 3, 3, 3, 1, 4, 3, 2, 2, 0, 3, 0, 3, 3, 4, 4, 4, 2, 4, 0, 3, 4, 1, 4, 2, 4, 3, 4, 3, 1, 4, 2, 4, 3, 0, 3, 1, 1, 2, 2, 3, 4, 3, 2, 4, 3, 2, 0, 3, 3, 1, 3, 2, 2, 1, 4, 2, 1, 4, 2, 4, 2, 2, 3, 2, 1, 4, 3, 4, 2, 2, 1, 2, 4, 3, 4, 0, 0, 2, 4, 0, 1, 3, 2, 4, 4, 2, 4, 2, 0, 2, 0, 3, 3, 1, 0, 3, 1, 0, 4, 1, 1, 2, 3, 3, 4, 1, 0, 2, 0, 4, 1, 1, 0, 2, 3, 3, 3, 4, 1, 0, 3, 1, 1, 0, 3, 1, 4, 1, 3, 4, 4, 4, 3, 2, 3, 4, 4, 3, 0, 4, 4, 4, 1, 2, 1, 3, 4, 4, 4, 4, 2, 4, 3, 4, 3, 2, 1, 0, 1, 3, 1, 3, 4, 2, 2, 4, 4, 2, 0, 3, 3, 3, 4, 0, 1, 1, 3, 0, 1, 2, 2, 0, 4, 4, 2, 1, 0, 3, 1, 4, 2, 1, 0, 0, 2, 4, 2, 3, 1, 1, 4, 3, 2, 3, 0, 1, 4, 0, 4, 1, 4, 0, 4, 2, 2, 4, 4, 1, 0, 4, 2, 4, 2, 3, 3, 0, 4, 3, 0, 0, 2, 4, 2, 0, 0, 3, 1, 4, 1, 1, 4, 2, 0, 1, 1, 0, 3, 0, 4, 1, 0, 2, 4, 0, 3, 4, 1, 2, 4, 2, 4, 1, 1, 4, 3, 3, 2, 1, 1, 2, 2, 4, 2, 2, 2, 1, 4, 3, 0, 1, 2, 3, 3, 4, 2, 2, 3, 4, 4, 4, 1, 1, 0, 1, 3, 0, 2, 4, 1, 3, 2, 3, 0, 2, 4, 0, 0, 2, 1, 0, 0, 4, 2, 1, 4, 2, 1, 2, 2, 4, 1, 0, 1, 3, 3, 1, 4, 3, 1, 0, 1, 3, 1, 1, 0, 4, 1, 3, 2, 0, 2, 4, 1, 4, 1, 1, 0, 2, 2, 0, 1, 3, 2, 0, 3, 4, 0, 4, 0, 4, 1, 0, 1, 1, 3, 4, 0, 3, 4, 2, 3, 1, 3, 1, 2, 2, 4, 0, 3, 4, 3, 1, 2, 2, 2, 1, 1, 4, 3, 3, 0, 0, 0, 4, 0, 4, 0]
pubkeycol687 = [0, 1, 0, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 3, 2, 3, 1, 1, 2, 2, 2, 1, 2, 2, 0, 3, 1, 0, 0, 3, 0, 4, 3, 4, 1, 4, 4, 0, 4, 0, 1, 0, 3, 4, 0, 4, 4, 4, 3, 3, 4, 2, 2, 3, 3, 2, 0, 1, 0, 1, 0, 4, 3, 4, 2, 3, 3, 0, 0, 0, 3, 4, 4, 3, 1, 3, 2, 3, 0, 3, 1, 1, 1, 1, 2, 2, 0, 4, 4, 4, 3, 3, 4, 4, 1, 3, 2, 0, 1, 0, 4, 0, 0, 3, 1, 0, 2, 2, 0, 2, 1, 4, 4, 1, 2, 0, 3, 0, 0, 4, 1, 1, 2, 3, 2, 0, 0, 3, 4, 3, 1, 2, 2, 3, 2, 3, 1, 2, 4, 3, 2, 0, 2, 0, 2, 1, 0, 4, 3, 0, 1, 3, 0, 1, 4, 4, 3, 3, 1, 3, 3, 3, 1, 0, 4, 2, 2, 2, 3, 2, 3, 3, 3, 1, 2, 3, 0, 3, 3, 4, 1, 3, 2, 1, 0, 3, 1, 3, 3, 4, 0, 3, 3, 4, 2, 3, 3, 1, 2, 3, 3, 4, 4, 0, 3, 4, 3, 1, 2, 1, 2, 1, 3, 1, 4, 3, 2, 2, 0, 4, 0, 4, 2, 4, 2, 4, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 3, 4, 1, 1, 4, 3, 3, 2, 0, 3, 1, 3, 3, 4, 4, 0, 1, 3, 2, 1, 1, 4, 1, 4, 4, 1, 1, 4, 0, 4, 0, 0, 1, 1, 4, 3, 2, 1, 1, 3, 0, 0, 2, 3, 1, 3, 4, 3, 1, 2, 4, 0, 0, 4, 3, 3, 2, 1, 1, 4, 4, 1, 1, 4, 4, 2, 2, 0, 2, 3, 0, 4, 3, 4, 0, 1, 0, 4, 3, 4, 1, 1, 0, 4, 2, 3, 2, 0, 3, 1, 3, 4, 4, 2, 1, 4, 3, 2, 0, 3, 4, 4, 1, 1, 1, 1, 4, 0, 1, 3, 4, 1, 0, 2, 4, 3, 0, 3, 0, 2, 4, 1, 4, 3, 4, 3, 0, 4, 3, 4, 1, 3, 4, 0, 0, 0, 4, 1, 3, 4, 1, 0, 4, 2, 3, 0, 0, 0, 0, 2, 4, 1, 0, 2, 3, 0]
pubkeycol688 = [1, 3, 4, 0, 3, 4, 3, 4, 0, 0, 1, 3, 1, 2, 0, 0, 4, 0, 2, 2, 0, 2, 4, 4, 1, 4, 1, 4, 2, 4, 3, 0, 1, 2, 4, 0, 3, 4, 1, 1, 4, 3, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 2, 1, 2, 3, 4, 0, 2, 0, 2, 0, 1, 3, 0, 0, 3, 3, 0, 2, 1, 4, 4, 2, 3, 4, 1, 1, 4, 0, 1, 4, 0, 3, 3, 2, 1, 4, 4, 1, 2, 0, 0, 1, 0, 3, 2, 4, 0, 1, 2, 0, 1, 3, 2, 4, 4, 4, 2, 3, 0, 3, 1, 0, 0, 2, 4, 3, 0, 2, 4, 4, 3, 4, 2, 2, 4, 4, 1, 1, 4, 4, 4, 0, 4, 0, 3, 2, 2, 0, 3, 3, 2, 3, 3, 2, 0, 3, 1, 1, 4, 4, 2, 1, 2, 1, 2, 3, 2, 3, 2, 2, 3, 1, 1, 0, 2, 0, 2, 2, 4, 1, 3, 3, 1, 3, 2, 3, 1, 4, 2, 1, 2, 4, 2, 1, 3, 1, 1, 1, 3, 3, 3, 4, 0, 0, 2, 1, 1, 2, 0, 2, 1, 3, 1, 0, 3, 1, 2, 1, 3, 2, 4, 3, 2, 2, 4, 2, 1, 2, 1, 1, 0, 3, 2, 0, 1, 4, 0, 3, 3, 1, 1, 0, 1, 2, 3, 0, 2, 3, 1, 2, 4, 2, 0, 1, 4, 1, 0, 0, 1, 1, 2, 2, 3, 4, 1, 2, 0, 0, 0, 4, 4, 1, 3, 1, 0, 1, 3, 3, 3, 0, 0, 1, 0, 3, 0, 0, 3, 2, 2, 0, 0, 3, 2, 0, 0, 0, 1, 0, 2, 1, 2, 4, 4, 4, 4, 1, 3, 4, 0, 1, 3, 3, 1, 4, 4, 4, 4, 1, 4, 4, 3, 3, 0, 1, 2, 2, 3, 1, 2, 0, 2, 4, 1, 0, 1, 4, 4, 4, 1, 2, 2, 3, 1, 0, 2, 4, 4, 3, 3, 2, 1, 1, 2, 0, 4, 0, 0, 1, 2, 3, 4, 0, 1, 4, 0, 4, 1, 4, 2, 0, 0, 2, 3, 3, 2, 2, 3, 1, 4, 4, 0, 4, 2, 0, 0, 1, 3, 3, 0, 1, 2, 3, 1, 3, 3, 0, 2, 4, 4, 0, 0, 2, 3, 1, 3, 4, 3]
pubkeycol689 = [4, 2, 3, 4, 2, 1, 3, 1, 0, 4, 3, 4, 4, 0, 0, 2, 4, 1, 0, 3, 0, 1, 2, 0, 1, 1, 0, 2, 3, 1, 4, 0, 0, 1, 1, 3, 0, 1, 0, 3, 0, 3, 2, 4, 1, 0, 1, 2, 4, 1, 3, 0, 2, 4, 3, 0, 3, 2, 3, 0, 1, 0, 1, 3, 1, 3, 1, 4, 3, 3, 1, 0, 0, 4, 2, 2, 4, 2, 0, 0, 1, 2, 3, 4, 4, 0, 4, 0, 1, 2, 2, 4, 3, 0, 3, 3, 4, 0, 1, 1, 2, 2, 3, 2, 4, 3, 0, 3, 2, 2, 4, 1, 2, 2, 2, 2, 4, 3, 0, 4, 2, 2, 3, 3, 4, 2, 4, 0, 2, 1, 3, 1, 3, 0, 1, 0, 3, 1, 3, 0, 1, 1, 3, 4, 3, 0, 4, 3, 3, 3, 1, 3, 4, 0, 3, 4, 2, 2, 0, 2, 4, 4, 3, 2, 2, 0, 3, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 3, 3, 3, 4, 0, 2, 3, 0, 0, 2, 2, 1, 2, 4, 0, 0, 2, 3, 4, 4, 1, 0, 2, 3, 3, 4, 1, 2, 2, 0, 3, 2, 3, 0, 3, 0, 0, 1, 2, 1, 1, 3, 2, 1, 0, 3, 1, 4, 2, 2, 1, 2, 1, 2, 0, 2, 4, 0, 4, 2, 0, 4, 1, 0, 2, 0, 1, 2, 0, 1, 3, 3, 1, 4, 2, 2, 2, 2, 1, 4, 1, 4, 2, 1, 0, 4, 4, 0, 2, 4, 1, 2, 2, 3, 2, 0, 2, 4, 1, 3, 3, 1, 1, 0, 2, 2, 4, 4, 4, 2, 2, 2, 1, 2, 0, 4, 4, 2, 4, 1, 4, 4, 4, 1, 0, 3, 3, 2, 2, 3, 1, 0, 1, 3, 3, 4, 1, 3, 2, 4, 4, 2, 4, 2, 1, 3, 2, 2, 4, 1, 4, 3, 3, 4, 0, 3, 0, 0, 4, 0, 1, 0, 4, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 3, 3, 1, 4, 0, 2, 2, 2, 2, 3, 3, 4, 0, 2, 0, 1, 1, 0, 3, 0, 2, 3, 1, 3, 1, 4, 2, 1, 4, 1, 0, 2, 1, 4, 2, 0, 0, 1, 1, 1, 2, 1, 3]
pubkeycol690 = [0, 2, 2, 0, 1, 3, 2, 3, 4, 2, 0, 3, 0, 2, 3, 0, 2, 3, 3, 1, 4, 3, 3, 3, 1, 4, 1, 2, 1, 2, 4, 0, 4, 3, 4, 3, 2, 0, 4, 1, 1, 2, 3, 2, 2, 0, 0, 4, 1, 0, 1, 1, 4, 1, 3, 0, 1, 3, 2, 3, 1, 0, 0, 3, 3, 4, 1, 4, 2, 4, 3, 2, 0, 2, 4, 3, 0, 2, 2, 2, 1, 3, 4, 1, 4, 2, 3, 0, 0, 1, 0, 1, 2, 3, 4, 0, 0, 0, 0, 2, 0, 4, 4, 1, 2, 4, 2, 2, 2, 4, 4, 0, 3, 2, 3, 0, 4, 0, 3, 2, 3, 1, 1, 1, 0, 0, 4, 2, 0, 4, 2, 1, 4, 3, 4, 2, 1, 2, 0, 1, 4, 1, 1, 3, 1, 2, 1, 0, 1, 3, 1, 4, 4, 3, 4, 0, 3, 3, 2, 3, 2, 1, 2, 2, 3, 4, 2, 3, 1, 0, 0, 1, 0, 3, 2, 4, 4, 4, 3, 4, 3, 3, 4, 2, 0, 4, 2, 0, 2, 4, 3, 1, 1, 1, 4, 2, 0, 2, 3, 3, 3, 4, 2, 1, 1, 4, 0, 4, 1, 4, 3, 4, 3, 4, 1, 4, 2, 2, 2, 2, 1, 0, 4, 3, 1, 4, 2, 2, 1, 4, 2, 3, 1, 1, 2, 3, 3, 0, 0, 4, 1, 3, 0, 2, 0, 4, 3, 0, 0, 4, 0, 0, 2, 0, 4, 4, 4, 3, 2, 4, 0, 1, 1, 3, 1, 0, 1, 4, 3, 4, 0, 0, 4, 1, 0, 4, 4, 4, 2, 0, 4, 3, 2, 0, 1, 1, 0, 4, 4, 1, 2, 2, 2, 3, 3, 3, 2, 1, 4, 1, 3, 2, 4, 2, 2, 0, 2, 3, 1, 4, 3, 4, 3, 2, 1, 0, 2, 4, 0, 0, 1, 3, 1, 3, 4, 2, 2, 1, 4, 4, 1, 0, 3, 3, 0, 3, 0, 0, 2, 4, 0, 1, 3, 2, 2, 1, 1, 0, 4, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 2, 4, 4, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 4, 1, 2, 3, 3, 4, 4, 3, 2, 4, 0, 1, 4, 1, 1, 2, 1, 4, 0, 1, 3, 3, 0, 4, 1, 3]
pubkeycol691 = [0, 1, 4, 4, 2, 2, 0, 2, 1, 3, 1, 3, 2, 3, 1, 4, 2, 2, 3, 2, 4, 2, 2, 2, 4, 4, 1, 4, 0, 2, 0, 1, 1, 1, 1, 4, 0, 3, 1, 1, 4, 3, 3, 3, 1, 3, 2, 0, 4, 0, 2, 4, 4, 0, 2, 2, 3, 4, 0, 0, 4, 3, 2, 3, 3, 3, 4, 2, 3, 0, 3, 0, 3, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 4, 4, 4, 4, 2, 4, 2, 4, 4, 1, 0, 4, 1, 4, 1, 0, 0, 2, 4, 4, 1, 0, 1, 2, 1, 1, 2, 1, 4, 1, 0, 1, 0, 0, 4, 1, 3, 0, 3, 4, 2, 4, 2, 1, 4, 2, 1, 2, 1, 3, 2, 3, 3, 4, 2, 2, 0, 0, 3, 2, 3, 3, 2, 4, 1, 2, 3, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 0, 1, 3, 3, 4, 0, 3, 1, 4, 2, 4, 1, 0, 4, 1, 3, 0, 4, 1, 1, 0, 2, 2, 4, 0, 0, 1, 4, 2, 0, 1, 4, 4, 3, 2, 1, 3, 4, 4, 3, 1, 0, 0, 2, 0, 4, 0, 0, 2, 2, 1, 0, 0, 1, 4, 1, 1, 1, 0, 3, 2, 4, 3, 2, 1, 4, 3, 3, 1, 4, 3, 2, 4, 1, 3, 4, 2, 1, 0, 3, 4, 2, 3, 2, 0, 4, 2, 1, 3, 2, 3, 2, 4, 4, 4, 4, 2, 2, 3, 1, 0, 0, 1, 3, 1, 3, 0, 3, 2, 1, 2, 3, 4, 3, 3, 4, 2, 0, 0, 4, 0, 3, 3, 2, 4, 0, 2, 0, 4, 2, 3, 1, 4, 1, 2, 1, 1, 0, 4, 0, 0, 1, 2, 2, 2, 1, 0, 4, 1, 4, 0, 3, 3, 0, 1, 4, 2, 1, 0, 1, 4, 4, 1, 1, 0, 1, 4, 2, 3, 2, 1, 3, 0, 3, 1, 3, 1, 2, 3, 3, 4, 2, 3, 2, 2, 3, 2, 0, 1, 2, 2, 3, 1, 3, 2, 3, 4, 4, 4, 4, 1, 2, 3, 3, 4, 0, 0, 3, 4, 4, 0, 3, 0, 3, 2, 4, 2, 2, 1, 4, 0, 3, 2, 1, 0, 1, 2, 1, 3, 3, 2, 1, 0, 2, 2, 1, 4, 4]
pubkeycol692 = [1, 0, 2, 2, 1, 4, 3, 3, 0, 1, 1, 1, 0, 1, 4, 0, 2, 4, 1, 4, 0, 2, 1, 0, 1, 3, 0, 1, 3, 2, 2, 1, 2, 3, 0, 3, 3, 2, 1, 0, 0, 0, 2, 0, 2, 2, 4, 1, 1, 3, 3, 1, 3, 0, 1, 3, 0, 2, 0, 1, 2, 1, 2, 2, 4, 4, 2, 0, 0, 1, 1, 3, 2, 3, 2, 4, 4, 4, 1, 0, 4, 1, 2, 3, 3, 4, 3, 0, 0, 1, 3, 2, 0, 2, 1, 2, 1, 4, 2, 0, 0, 2, 4, 4, 3, 0, 2, 1, 0, 4, 0, 4, 2, 0, 0, 1, 4, 2, 1, 4, 2, 0, 1, 3, 1, 3, 4, 0, 4, 2, 2, 3, 4, 1, 2, 0, 0, 1, 3, 3, 3, 3, 0, 2, 1, 3, 3, 2, 2, 0, 2, 0, 4, 2, 0, 2, 4, 1, 3, 0, 2, 3, 1, 1, 0, 4, 1, 1, 1, 2, 4, 3, 3, 1, 4, 1, 4, 3, 0, 1, 4, 4, 0, 4, 2, 1, 4, 4, 0, 0, 4, 0, 1, 2, 2, 0, 4, 3, 3, 0, 0, 4, 4, 3, 4, 3, 0, 1, 3, 1, 0, 0, 4, 2, 3, 2, 4, 1, 0, 2, 1, 4, 2, 1, 2, 3, 2, 4, 2, 4, 3, 0, 4, 4, 3, 1, 4, 4, 3, 2, 0, 4, 1, 4, 3, 3, 4, 4, 1, 3, 0, 0, 1, 0, 0, 3, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 0, 4, 4, 0, 2, 4, 0, 3, 3, 1, 3, 1, 4, 1, 4, 2, 2, 4, 2, 4, 1, 4, 2, 1, 0, 2, 4, 1, 0, 4, 0, 0, 0, 1, 0, 3, 0, 2, 4, 1, 2, 0, 2, 2, 1, 4, 0, 2, 1, 3, 1, 0, 2, 2, 4, 2, 2, 1, 0, 4, 1, 2, 4, 3, 1, 0, 1, 2, 3, 4, 0, 4, 4, 2, 2, 4, 3, 4, 2, 3, 4, 0, 1, 1, 2, 1, 2, 0, 0, 3, 2, 4, 4, 3, 3, 4, 0, 0, 2, 1, 2, 1, 4, 1, 1, 3, 0, 4, 2, 3, 3, 0, 4, 2, 0, 1, 1, 4, 4, 4, 3, 4, 0, 4, 1, 4, 2, 4, 0, 1, 2, 1, 2]
pubkeycol693 = [4, 1, 2, 4, 2, 2, 2, 4, 0, 4, 0, 0, 1, 1, 1, 3, 2, 2, 0, 2, 3, 3, 2, 4, 1, 4, 4, 4, 3, 3, 3, 4, 0, 3, 4, 2, 3, 4, 2, 1, 0, 0, 0, 3, 0, 0, 3, 1, 1, 3, 1, 0, 2, 4, 1, 1, 2, 2, 2, 1, 3, 2, 1, 4, 0, 0, 3, 2, 3, 4, 4, 0, 1, 0, 0, 4, 4, 3, 0, 2, 4, 1, 2, 4, 2, 3, 1, 0, 3, 4, 4, 0, 1, 0, 3, 1, 1, 1, 2, 1, 1, 2, 4, 1, 4, 4, 1, 3, 1, 2, 4, 1, 2, 2, 0, 3, 3, 1, 2, 4, 4, 0, 0, 4, 1, 1, 2, 1, 2, 4, 3, 2, 3, 1, 3, 2, 2, 0, 4, 2, 1, 0, 0, 4, 4, 1, 3, 1, 0, 2, 3, 3, 0, 2, 0, 3, 2, 2, 4, 2, 2, 1, 0, 2, 4, 4, 0, 4, 4, 2, 0, 3, 2, 2, 2, 0, 2, 1, 2, 0, 3, 4, 3, 4, 1, 0, 0, 4, 0, 1, 3, 4, 3, 3, 2, 2, 3, 4, 4, 0, 3, 3, 4, 0, 2, 0, 3, 3, 1, 4, 3, 1, 3, 0, 1, 3, 0, 0, 0, 1, 3, 2, 0, 3, 3, 0, 4, 4, 2, 4, 3, 0, 0, 1, 1, 2, 0, 1, 0, 2, 3, 3, 4, 2, 1, 1, 0, 3, 4, 3, 1, 3, 1, 0, 2, 4, 2, 0, 4, 0, 4, 2, 3, 2, 2, 3, 0, 0, 0, 0, 0, 3, 0, 4, 1, 4, 1, 3, 3, 4, 0, 3, 2, 2, 0, 2, 3, 3, 3, 3, 2, 1, 2, 2, 1, 3, 1, 4, 3, 3, 2, 0, 1, 4, 2, 2, 3, 0, 3, 1, 2, 2, 2, 2, 0, 4, 4, 2, 2, 2, 3, 2, 1, 0, 1, 4, 0, 2, 0, 0, 0, 2, 0, 3, 2, 4, 3, 2, 0, 3, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 4, 0, 0, 0, 0, 3, 0, 1, 1, 2, 0, 2, 1, 4, 4, 2, 2, 4, 2, 0, 2, 4, 3, 1, 4, 3, 1, 4, 0, 2, 2, 1, 3, 3, 0, 3, 0, 3, 0, 3, 3, 4, 0, 4, 1, 4, 0, 3, 1, 0]
pubkeycol694 = [1, 1, 0, 4, 1, 1, 2, 0, 2, 1, 1, 0, 3, 1, 3, 1, 2, 4, 4, 1, 1, 4, 0, 3, 1, 3, 3, 4, 2, 1, 0, 4, 1, 0, 0, 0, 0, 4, 3, 1, 0, 4, 4, 3, 0, 0, 1, 2, 1, 2, 3, 4, 2, 0, 1, 4, 4, 0, 0, 4, 0, 2, 2, 4, 2, 0, 2, 0, 3, 4, 4, 3, 0, 0, 4, 3, 4, 0, 0, 3, 1, 2, 4, 2, 1, 2, 2, 0, 3, 2, 3, 3, 0, 2, 1, 1, 3, 4, 4, 3, 0, 3, 0, 3, 2, 1, 4, 3, 0, 1, 1, 4, 3, 4, 0, 2, 4, 3, 1, 2, 1, 2, 3, 0, 1, 2, 4, 0, 2, 1, 2, 0, 4, 1, 3, 0, 3, 4, 2, 3, 4, 4, 3, 0, 0, 3, 0, 1, 1, 4, 3, 4, 4, 0, 3, 1, 3, 0, 4, 0, 2, 0, 2, 4, 4, 0, 2, 4, 3, 0, 4, 2, 3, 3, 4, 4, 3, 1, 3, 3, 2, 0, 4, 1, 1, 1, 2, 0, 3, 2, 1, 4, 0, 4, 0, 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, 4, 4, 4, 2, 4, 0, 1, 3, 2, 3, 0, 1, 2, 3, 2, 2, 4, 1, 2, 2, 4, 4, 4, 3, 1, 0, 4, 1, 0, 1, 2, 0, 3, 3, 0, 0, 1, 3, 0, 3, 0, 3, 0, 0, 1, 3, 2, 4, 0, 0, 1, 2, 2, 4, 0, 2, 2, 2, 3, 4, 1, 4, 4, 0, 1, 4, 2, 4, 3, 1, 1, 3, 3, 2, 4, 2, 1, 4, 3, 0, 0, 2, 4, 3, 3, 4, 0, 3, 1, 3, 3, 1, 0, 0, 3, 3, 0, 2, 1, 2, 0, 3, 1, 0, 2, 4, 3, 1, 1, 1, 4, 4, 0, 1, 4, 4, 2, 2, 4, 4, 2, 0, 0, 3, 4, 2, 4, 0, 2, 0, 0, 4, 4, 2, 1, 0, 1, 1, 4, 0, 2, 4, 0, 4, 4, 1, 3, 2, 0, 2, 3, 3, 4, 4, 4, 3, 4, 2, 3, 4, 4, 2, 2, 0, 4, 3, 3, 1, 0, 4, 3, 3, 1, 1, 2, 2, 2, 0, 2, 0, 1, 3, 2, 3, 2, 2, 0, 4, 3, 0, 0, 1, 1, 3, 3]
pubkeycol695 = [3, 1, 1, 1, 4, 3, 3, 1, 3, 2, 1, 0, 0, 2, 4, 0, 2, 4, 4, 1, 3, 4, 0, 4, 0, 0, 4, 0, 3, 3, 4, 1, 1, 1, 0, 3, 0, 1, 1, 1, 0, 4, 4, 4, 3, 1, 1, 2, 3, 2, 2, 3, 1, 4, 1, 1, 3, 2, 1, 0, 1, 0, 1, 3, 1, 3, 0, 0, 1, 0, 3, 4, 2, 3, 4, 0, 4, 4, 1, 0, 0, 3, 4, 2, 4, 2, 2, 0, 3, 0, 1, 4, 1, 0, 4, 4, 1, 0, 4, 4, 3, 1, 1, 0, 0, 0, 4, 3, 3, 4, 1, 4, 2, 4, 4, 3, 0, 3, 2, 1, 3, 4, 1, 1, 2, 3, 1, 3, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 4, 3, 2, 0, 1, 2, 0, 2, 1, 1, 3, 0, 0, 2, 3, 0, 2, 3, 1, 4, 0, 4, 2, 2, 3, 1, 4, 3, 3, 1, 4, 0, 2, 3, 1, 1, 4, 1, 4, 4, 4, 1, 1, 4, 0, 0, 0, 2, 3, 1, 4, 4, 4, 0, 3, 2, 2, 3, 2, 0, 4, 4, 4, 3, 0, 4, 1, 0, 1, 2, 2, 3, 2, 2, 2, 3, 4, 3, 4, 3, 2, 1, 0, 1, 3, 2, 0, 1, 4, 4, 0, 2, 1, 0, 1, 3, 3, 1, 0, 4, 0, 3, 1, 2, 3, 4, 1, 2, 2, 3, 3, 1, 2, 4, 3, 1, 4, 0, 4, 3, 3, 0, 2, 4, 4, 1, 4, 4, 0, 4, 2, 4, 1, 0, 0, 3, 1, 4, 1, 1, 4, 1, 1, 2, 3, 3, 2, 1, 0, 0, 3, 3, 1, 3, 2, 2, 2, 2, 1, 4, 1, 3, 3, 0, 3, 1, 2, 1, 3, 2, 2, 4, 0, 1, 3, 3, 0, 2, 4, 2, 1, 4, 0, 3, 3, 3, 2, 3, 2, 0, 4, 1, 0, 3, 2, 0, 3, 3, 1, 0, 4, 3, 4, 3, 1, 2, 1, 2, 1, 2, 2, 1, 3, 0, 0, 3, 1, 2, 3, 0, 3, 4, 2, 3, 2, 3, 0, 3, 0, 0, 3, 4, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 4, 2, 0, 0, 1, 4, 1, 1, 3, 0, 4, 3, 0, 3, 3]
pubkeycol696 = [2, 4, 0, 4, 4, 0, 2, 2, 3, 4, 2, 4, 2, 4, 2, 4, 3, 4, 1, 0, 0, 4, 2, 0, 3, 4, 0, 1, 2, 2, 2, 3, 1, 2, 3, 1, 3, 4, 1, 1, 0, 2, 1, 0, 3, 3, 1, 0, 3, 3, 2, 3, 2, 1, 3, 3, 0, 4, 2, 0, 4, 2, 1, 2, 4, 3, 4, 0, 2, 4, 2, 2, 0, 3, 1, 3, 4, 2, 2, 1, 3, 3, 1, 3, 3, 2, 0, 3, 0, 3, 3, 0, 1, 4, 3, 3, 4, 0, 0, 3, 3, 2, 0, 2, 3, 2, 4, 3, 4, 0, 1, 2, 2, 4, 0, 4, 2, 4, 4, 4, 1, 3, 4, 0, 3, 4, 0, 1, 0, 0, 2, 3, 3, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 3, 0, 2, 1, 4, 0, 4, 0, 3, 0, 1, 2, 3, 3, 1, 1, 2, 3, 1, 4, 2, 2, 0, 0, 1, 3, 0, 1, 1, 3, 0, 0, 1, 0, 1, 1, 0, 4, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 3, 1, 2, 1, 1, 3, 1, 0, 2, 1, 3, 1, 4, 3, 0, 3, 2, 1, 3, 4, 0, 0, 1, 0, 2, 0, 4, 4, 4, 2, 3, 1, 1, 0, 0, 4, 4, 4, 2, 1, 2, 0, 4, 3, 0, 1, 2, 1, 0, 1, 1, 3, 4, 1, 1, 1, 0, 0, 1, 4, 4, 4, 2, 1, 2, 0, 1, 4, 0, 3, 4, 3, 1, 1, 3, 4, 1, 2, 2, 1, 0, 3, 2, 0, 1, 2, 4, 4, 2, 2, 2, 0, 4, 3, 3, 2, 0, 4, 3, 1, 3, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 3, 4, 4, 4, 0, 2, 0, 1, 0, 2, 3, 2, 2, 3, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 4, 4, 4, 0, 1, 3, 4, 1, 4, 0, 4, 0, 4, 2, 3, 3, 1, 0, 0, 1, 4, 4, 2, 1, 1, 4, 2, 1, 0, 0, 4, 4, 0, 1, 0, 0, 3, 0, 2, 3, 4, 0, 3, 2, 4, 1, 4, 1, 1, 4, 2, 1, 0, 2, 0, 0, 0, 3, 2, 0]
pubkeycol697 = [1, 4, 2, 4, 2, 4, 0, 1, 1, 4, 0, 2, 2, 0, 1, 0, 4, 4, 1, 2, 2, 1, 0, 1, 3, 3, 0, 3, 3, 3, 3, 1, 1, 4, 1, 0, 3, 2, 3, 0, 2, 0, 0, 1, 1, 4, 1, 3, 3, 4, 2, 3, 1, 4, 2, 4, 0, 1, 3, 4, 2, 0, 3, 4, 2, 4, 2, 3, 1, 4, 4, 3, 0, 2, 0, 0, 1, 3, 0, 4, 1, 2, 2, 2, 2, 2, 0, 1, 4, 4, 4, 0, 1, 1, 4, 3, 0, 4, 3, 1, 3, 4, 2, 2, 0, 0, 0, 2, 2, 4, 1, 2, 1, 3, 4, 3, 3, 1, 2, 1, 0, 3, 4, 1, 0, 4, 1, 0, 3, 3, 4, 2, 4, 4, 4, 4, 3, 2, 3, 4, 2, 2, 3, 2, 4, 1, 2, 2, 0, 0, 2, 3, 2, 0, 3, 4, 4, 3, 3, 2, 1, 4, 0, 1, 3, 4, 0, 0, 2, 1, 4, 4, 0, 3, 1, 3, 4, 0, 2, 1, 3, 3, 1, 0, 2, 1, 3, 0, 1, 1, 3, 3, 2, 0, 1, 4, 1, 0, 4, 3, 4, 2, 4, 2, 3, 2, 1, 4, 2, 3, 1, 2, 0, 1, 2, 2, 2, 1, 2, 4, 4, 2, 2, 1, 4, 3, 3, 3, 2, 4, 3, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 2, 4, 3, 0, 4, 0, 4, 0, 2, 1, 1, 1, 1, 2, 4, 0, 2, 4, 2, 4, 0, 4, 1, 4, 4, 1, 0, 3, 1, 4, 4, 0, 3, 0, 2, 0, 1, 3, 3, 0, 0, 3, 0, 1, 3, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 2, 2, 1, 0, 4, 0, 0, 3, 3, 0, 2, 2, 0, 1, 3, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 0, 0, 0, 3, 4, 0, 2, 3, 1, 3, 1, 3, 3, 1, 4, 3, 3, 3, 0, 3, 3, 3, 0, 4, 2, 3, 0, 2, 0, 1, 3, 0, 4, 2, 4, 2, 1, 0, 3, 4, 3, 0, 1, 3, 3, 4, 3, 4, 1, 4, 0, 2, 0, 3, 0, 2, 4, 3, 2, 0, 3, 3, 0, 3, 2, 1, 4, 2, 0, 4, 2, 1, 2, 0, 1, 4, 3]
pubkeycol698 = [3, 4, 2, 0, 4, 1, 4, 3, 2, 2, 2, 2, 4, 1, 4, 1, 2, 3, 0, 4, 2, 4, 3, 4, 4, 4, 3, 1, 2, 4, 2, 3, 4, 2, 0, 3, 1, 4, 0, 2, 1, 0, 0, 1, 0, 4, 2, 4, 0, 2, 1, 3, 3, 3, 1, 3, 0, 1, 4, 4, 1, 3, 4, 4, 4, 4, 2, 4, 4, 2, 1, 0, 2, 2, 2, 4, 3, 2, 3, 4, 0, 2, 3, 1, 4, 3, 0, 3, 1, 1, 0, 2, 1, 2, 0, 2, 0, 3, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 3, 4, 1, 0, 3, 0, 2, 1, 3, 1, 2, 4, 0, 4, 1, 4, 0, 3, 2, 1, 3, 0, 1, 0, 0, 0, 1, 2, 4, 2, 2, 4, 2, 3, 2, 2, 4, 4, 4, 0, 2, 3, 1, 4, 3, 1, 0, 4, 1, 0, 3, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 3, 1, 1, 4, 2, 4, 3, 4, 3, 4, 1, 1, 1, 0, 3, 3, 0, 2, 1, 2, 3, 4, 1, 0, 0, 2, 4, 4, 4, 1, 1, 4, 3, 2, 3, 4, 3, 0, 0, 0, 3, 1, 1, 2, 4, 2, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 0, 2, 4, 1, 4, 1, 0, 1, 3, 1, 2, 3, 3, 1, 2, 0, 1, 4, 0, 3, 3, 2, 1, 3, 2, 3, 4, 4, 3, 0, 0, 1, 4, 2, 3, 3, 4, 4, 1, 1, 0, 3, 0, 4, 2, 4, 2, 4, 4, 0, 3, 2, 4, 1, 0, 3, 4, 1, 3, 1, 4, 2, 4, 4, 0, 0, 1, 2, 4, 3, 4, 4, 3, 2, 2, 0, 4, 1, 4, 4, 0, 4, 1, 3, 3, 0, 2, 0, 0, 3, 3, 2, 3, 3, 2, 0, 0, 0, 3, 0, 1, 2, 2, 3, 4, 2, 0, 4, 0, 1, 1, 2, 4, 4, 0, 2, 2, 3, 0, 1, 3, 4, 4, 2, 1, 2, 1, 4, 3, 3, 4, 1, 2, 4, 2, 3, 0, 2, 4, 4, 2, 4, 1, 0, 1, 3, 4, 0, 2, 4, 0, 1, 1, 0, 1, 0, 4, 2, 1, 4, 1, 0, 0, 0, 4, 0, 3, 3, 2, 3, 3, 4, 0, 3, 0]
pubkeycol699 = [4, 2, 0, 3, 0, 2, 0, 1, 2, 4, 2, 3, 3, 1, 3, 4, 0, 1, 2, 0, 3, 0, 2, 0, 4, 0, 4, 4, 3, 1, 1, 4, 1, 4, 4, 2, 2, 3, 2, 0, 0, 3, 1, 1, 4, 4, 1, 1, 3, 4, 1, 1, 3, 2, 4, 2, 2, 3, 4, 0, 0, 0, 2, 4, 1, 3, 0, 2, 2, 3, 0, 1, 3, 1, 0, 0, 1, 0, 1, 3, 3, 3, 3, 3, 0, 2, 3, 3, 4, 2, 2, 1, 4, 4, 3, 4, 0, 3, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 4, 0, 4, 2, 2, 4, 1, 3, 3, 0, 1, 4, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 4, 4, 4, 0, 3, 0, 1, 2, 1, 1, 1, 1, 4, 4, 0, 3, 3, 1, 1, 3, 3, 1, 2, 2, 1, 4, 0, 0, 2, 4, 3, 0, 3, 0, 0, 4, 0, 2, 0, 2, 4, 4, 2, 2, 3, 0, 0, 3, 2, 1, 3, 4, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 3, 3, 3, 2, 3, 1, 4, 4, 0, 4, 1, 4, 2, 0, 3, 3, 1, 3, 3, 3, 4, 1, 4, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 3, 2, 4, 2, 3, 2, 3, 3, 4, 4, 3, 0, 1, 3, 0, 3, 2, 3, 2, 2, 3, 4, 3, 3, 4, 1, 4, 0, 1, 1, 1, 4, 4, 3, 1, 3, 3, 4, 2, 0, 1, 3, 3, 4, 3, 4, 4, 4, 4, 1, 0, 0, 2, 2, 2, 4, 4, 0, 1, 1, 1, 3, 0, 3, 1, 3, 0, 2, 2, 3, 0, 1, 0, 3, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 4, 4, 1, 1, 3, 3, 3, 1, 4, 0, 1, 0, 3, 0, 2, 3, 3, 1, 3, 3, 4, 2, 3, 0, 4, 0, 0, 1, 1, 2, 3, 3, 4, 0, 4, 4, 2, 2, 4, 1, 3, 3, 4, 0, 2, 0, 2, 4, 0, 0, 1, 0, 3, 2, 3, 4, 1, 1, 3, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 3, 1, 0, 2, 0, 3, 0, 0, 4, 0, 1, 0]
pubkeycol700 = [2, 1, 2, 3, 3, 4, 4, 3, 4, 0, 2, 1, 0, 2, 2, 1, 3, 1, 4, 2, 3, 3, 4, 3, 3, 4, 0, 1, 2, 4, 4, 4, 0, 2, 0, 3, 2, 0, 2, 2, 1, 2, 4, 0, 3, 2, 4, 1, 2, 0, 4, 0, 3, 4, 0, 1, 0, 0, 4, 3, 1, 1, 2, 2, 4, 1, 0, 1, 1, 2, 3, 0, 1, 4, 3, 2, 4, 4, 3, 0, 1, 3, 0, 0, 3, 1, 1, 0, 2, 0, 2, 4, 0, 2, 4, 3, 1, 2, 2, 4, 2, 0, 3, 0, 3, 4, 2, 3, 4, 1, 3, 2, 0, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 0, 4, 2, 0, 4, 1, 2, 1, 4, 1, 3, 1, 2, 2, 1, 2, 1, 1, 1, 4, 1, 3, 0, 0, 2, 3, 1, 2, 1, 1, 4, 4, 0, 4, 1, 4, 2, 3, 0, 4, 0, 0, 0, 4, 2, 2, 0, 3, 3, 2, 0, 0, 0, 3, 2, 4, 4, 4, 1, 3, 3, 1, 4, 1, 4, 4, 2, 0, 2, 1, 4, 1, 3, 3, 0, 2, 3, 1, 1, 4, 2, 4, 0, 1, 4, 0, 2, 0, 0, 1, 1, 0, 4, 1, 1, 0, 4, 1, 1, 2, 2, 4, 4, 3, 1, 0, 3, 3, 2, 2, 3, 1, 4, 0, 2, 0, 1, 0, 1, 2, 4, 2, 0, 4, 3, 2, 4, 2, 0, 0, 1, 3, 3, 4, 0, 3, 0, 4, 2, 2, 4, 3, 2, 0, 1, 2, 0, 3, 0, 3, 4, 4, 0, 2, 4, 4, 2, 2, 2, 0, 2, 4, 2, 0, 2, 4, 0, 1, 4, 2, 1, 3, 0, 0, 4, 2, 3, 3, 3, 3, 0, 0, 1, 0, 2, 1, 1, 1, 3, 3, 0, 1, 1, 0, 0, 1, 1, 4, 4, 1, 1, 1, 4, 3, 1, 0, 1, 0, 3, 3, 2, 0, 1, 3, 2, 1, 0, 0, 4, 3, 0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 3, 3, 4, 3, 2, 4, 0, 3, 1, 3, 4, 0, 1, 1, 2, 2, 3, 2, 4, 1, 1, 1, 1, 4, 4, 3, 2, 0, 2, 4, 4, 3, 2, 0, 2, 4, 1, 0, 4, 4, 4, 0, 0, 4, 2, 1, 3]
pubkeycol701 = [4, 3, 0, 4, 0, 0, 3, 0, 3, 2, 3, 2, 1, 1, 4, 1, 0, 3, 2, 4, 0, 1, 3, 4, 4, 2, 4, 3, 4, 1, 3, 3, 4, 1, 1, 1, 0, 4, 4, 2, 4, 0, 1, 1, 3, 4, 4, 2, 0, 3, 2, 4, 0, 2, 4, 3, 4, 4, 1, 3, 3, 1, 4, 0, 0, 1, 4, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 2, 4, 0, 3, 0, 0, 0, 2, 4, 0, 1, 4, 0, 2, 0, 2, 2, 3, 4, 4, 0, 3, 0, 2, 3, 3, 1, 0, 2, 0, 4, 4, 2, 0, 3, 4, 1, 2, 2, 2, 2, 1, 0, 2, 2, 4, 0, 2, 2, 4, 2, 1, 0, 0, 1, 3, 4, 0, 4, 0, 3, 4, 1, 1, 0, 0, 2, 3, 2, 1, 1, 4, 3, 4, 4, 2, 3, 0, 1, 3, 3, 1, 2, 4, 4, 3, 2, 4, 3, 2, 3, 1, 1, 4, 3, 2, 3, 2, 3, 0, 0, 3, 2, 1, 1, 4, 0, 4, 1, 2, 1, 3, 4, 4, 3, 3, 0, 0, 0, 0, 0, 3, 4, 0, 1, 0, 1, 0, 0, 3, 1, 4, 4, 0, 1, 0, 4, 3, 0, 2, 2, 0, 4, 4, 3, 4, 1, 3, 1, 4, 1, 3, 3, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 4, 4, 3, 4, 0, 1, 3, 3, 1, 2, 2, 1, 3, 3, 3, 1, 3, 1, 2, 3, 1, 4, 1, 0, 4, 2, 3, 4, 2, 1, 1, 1, 0, 1, 2, 1, 3, 3, 3, 2, 1, 1, 0, 3, 2, 4, 1, 4, 1, 3, 0, 3, 0, 1, 2, 3, 0, 0, 0, 1, 0, 3, 0, 2, 0, 0, 4, 2, 0, 4, 2, 1, 3, 4, 4, 1, 3, 4, 2, 2, 4, 0, 4, 1, 0, 3, 2, 1, 2, 2, 4, 0, 3, 0, 3, 0, 0, 3, 4, 1, 1, 0, 0, 0, 4, 4, 3, 3, 4, 0, 0, 2, 1, 0, 1, 2, 2, 4, 4, 4, 4, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 4, 0, 2, 4, 0, 1, 1, 1, 3, 0, 3, 0, 1, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 2, 3, 0, 1, 2]
pubkeycol702 = [3, 4, 0, 4, 0, 0, 2, 0, 0, 4, 0, 1, 3, 1, 4, 2, 4, 0, 3, 4, 0, 1, 4, 3, 0, 1, 3, 1, 4, 1, 0, 1, 1, 1, 0, 4, 3, 3, 1, 1, 1, 2, 4, 4, 2, 4, 3, 2, 2, 1, 4, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 4, 2, 3, 1, 2, 0, 0, 0, 0, 1, 0, 0, 3, 1, 0, 3, 1, 1, 4, 1, 3, 3, 4, 2, 2, 4, 0, 1, 2, 1, 4, 1, 2, 1, 2, 1, 4, 2, 2, 4, 2, 2, 1, 2, 4, 3, 0, 0, 2, 0, 4, 4, 1, 1, 1, 4, 4, 1, 1, 3, 1, 3, 4, 1, 1, 0, 4, 3, 3, 2, 0, 3, 0, 2, 0, 1, 3, 2, 1, 0, 4, 2, 3, 0, 1, 1, 3, 0, 1, 4, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 1, 1, 2, 3, 4, 1, 2, 4, 4, 1, 2, 0, 4, 0, 1, 0, 0, 4, 4, 2, 4, 0, 2, 2, 0, 0, 3, 3, 1, 1, 0, 1, 4, 4, 0, 3, 2, 4, 4, 4, 3, 0, 2, 3, 1, 1, 1, 3, 2, 4, 1, 2, 3, 0, 3, 0, 3, 2, 4, 3, 1, 4, 3, 2, 0, 0, 0, 0, 4, 0, 4, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 0, 2, 2, 3, 1, 0, 2, 2, 1, 0, 0, 3, 4, 1, 1, 0, 2, 1, 3, 2, 3, 0, 4, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 2, 0, 3, 1, 4, 2, 3, 4, 1, 3, 2, 3, 2, 0, 4, 0, 3, 0, 0, 0, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 4, 2, 0, 3, 3, 2, 1, 1, 3, 0, 3, 1, 2, 4, 1, 2, 1, 4, 1, 4, 3, 2, 2, 4, 0, 3, 4, 0, 3, 3, 4, 1, 0, 4, 3, 0, 1, 2, 4, 3, 0, 2, 1, 4, 2, 2, 0, 1, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 4, 3, 1, 1, 3, 4, 3, 1, 1, 3, 1, 2, 3, 1, 1, 4, 2, 4, 4, 2, 3, 2, 2, 2, 3, 4, 4, 2, 2, 1]
pubkeycol703 = [4, 4, 1, 1, 3, 1, 0, 3, 1, 1, 2, 3, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 4, 1, 3, 0, 4, 2, 3, 3, 0, 1, 2, 2, 1, 3, 1, 1, 0, 0, 4, 2, 3, 0, 0, 1, 1, 2, 1, 4, 2, 4, 2, 2, 0, 0, 2, 0, 4, 1, 4, 1, 2, 4, 3, 3, 3, 4, 3, 4, 2, 3, 1, 1, 3, 1, 2, 3, 1, 1, 0, 4, 2, 2, 2, 1, 4, 2, 0, 4, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 4, 0, 4, 3, 0, 1, 0, 4, 0, 1, 1, 2, 1, 1, 4, 3, 4, 1, 3, 0, 4, 0, 0, 3, 2, 3, 1, 2, 3, 4, 2, 0, 2, 1, 4, 1, 4, 4, 0, 3, 4, 4, 1, 1, 3, 3, 1, 4, 0, 3, 4, 1, 0, 1, 2, 1, 0, 4, 1, 0, 3, 0, 0, 1, 2, 1, 3, 4, 1, 1, 4, 0, 3, 0, 1, 3, 3, 0, 1, 1, 1, 2, 3, 0, 1, 3, 3, 1, 0, 1, 1, 2, 2, 4, 3, 2, 1, 0, 1, 4, 4, 2, 0, 2, 4, 0, 2, 2, 3, 1, 2, 0, 4, 4, 3, 2, 1, 4, 3, 0, 4, 0, 4, 0, 0, 4, 0, 3, 2, 2, 4, 1, 4, 4, 4, 4, 3, 4, 2, 3, 0, 4, 2, 4, 3, 1, 2, 0, 3, 3, 3, 4, 0, 0, 3, 3, 4, 3, 0, 3, 1, 1, 1, 3, 0, 2, 2, 4, 3, 2, 0, 1, 0, 4, 2, 1, 3, 2, 0, 3, 3, 4, 2, 4, 2, 4, 2, 4, 3, 2, 3, 2, 1, 3, 2, 4, 1, 2, 0, 4, 2, 4, 3, 2, 4, 3, 4, 1, 4, 3, 3, 0, 4, 2, 3, 2, 3, 3, 0, 1, 3, 2, 0, 1, 0, 3, 4, 0, 0, 4, 2, 3, 4, 4, 0, 4, 4, 1, 1, 4, 2, 3, 3, 3, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 4, 0, 0, 3, 4, 1, 4, 4, 2, 2, 3, 2, 4, 0, 2, 2, 0, 0, 4, 0, 2, 0, 4, 2, 0, 0, 4, 0, 1, 0, 2, 0, 2, 2, 1, 3, 3, 4, 2, 4, 2]
pubkeycol704 = [4, 1, 0, 3, 4, 3, 1, 1, 4, 0, 2, 4, 0, 2, 3, 4, 2, 4, 3, 0, 1, 0, 1, 1, 3, 4, 4, 2, 1, 4, 0, 1, 3, 2, 0, 2, 0, 1, 2, 0, 0, 4, 1, 3, 2, 2, 3, 3, 0, 0, 2, 4, 2, 0, 2, 1, 0, 3, 3, 3, 1, 2, 0, 4, 4, 1, 1, 1, 4, 2, 3, 2, 0, 4, 2, 1, 2, 2, 4, 4, 3, 3, 1, 0, 0, 1, 1, 0, 3, 2, 0, 1, 1, 2, 1, 4, 0, 3, 1, 4, 3, 3, 3, 0, 2, 0, 1, 2, 1, 4, 4, 0, 1, 3, 0, 0, 2, 0, 3, 2, 1, 4, 0, 3, 4, 2, 1, 1, 0, 0, 1, 4, 4, 2, 2, 0, 1, 2, 0, 3, 0, 4, 3, 4, 0, 3, 1, 3, 4, 4, 3, 0, 3, 4, 4, 4, 2, 0, 4, 2, 4, 1, 3, 3, 2, 2, 1, 3, 0, 2, 1, 2, 2, 3, 2, 2, 0, 2, 4, 2, 0, 3, 3, 0, 0, 0, 1, 4, 2, 3, 0, 1, 1, 4, 4, 1, 4, 4, 4, 0, 2, 3, 0, 0, 1, 4, 3, 4, 2, 4, 4, 3, 0, 0, 0, 2, 3, 0, 4, 0, 2, 3, 0, 2, 3, 0, 3, 2, 3, 0, 2, 0, 2, 1, 4, 0, 4, 2, 1, 1, 1, 3, 4, 4, 0, 3, 0, 4, 3, 0, 2, 3, 2, 2, 3, 1, 4, 0, 2, 0, 2, 4, 3, 2, 1, 4, 0, 0, 1, 4, 0, 2, 3, 4, 2, 2, 2, 1, 4, 3, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 4, 1, 0, 3, 1, 2, 3, 3, 0, 1, 1, 1, 0, 2, 3, 3, 4, 4, 4, 0, 2, 1, 4, 2, 3, 3, 0, 2, 4, 0, 3, 0, 2, 3, 1, 0, 3, 2, 3, 1, 4, 2, 4, 3, 2, 1, 4, 4, 4, 0, 0, 1, 2, 2, 4, 2, 1, 3, 2, 2, 1, 4, 2, 3, 2, 4, 2, 2, 0, 3, 2, 3, 0, 1, 2, 0, 0, 0, 3, 1, 4, 4, 2, 4, 1, 0, 0, 3, 2, 4, 3, 1, 1, 2, 2, 0, 1, 2, 2, 3, 4, 0, 2, 4, 0, 0, 3, 2, 1, 0]
pubkeycol705 = [4, 3, 1, 3, 0, 2, 3, 0, 1, 3, 4, 4, 2, 4, 0, 4, 3, 3, 1, 3, 4, 2, 2, 1, 1, 2, 1, 2, 3, 3, 2, 2, 3, 1, 0, 0, 1, 1, 2, 4, 2, 0, 0, 2, 1, 2, 0, 0, 2, 3, 1, 3, 4, 0, 0, 1, 4, 4, 4, 0, 2, 2, 4, 1, 4, 3, 0, 0, 4, 3, 3, 0, 3, 0, 0, 4, 4, 4, 0, 1, 0, 0, 1, 3, 1, 4, 2, 0, 1, 1, 3, 3, 0, 3, 4, 4, 2, 0, 4, 3, 1, 4, 0, 4, 1, 2, 1, 0, 2, 2, 4, 3, 1, 4, 4, 2, 2, 3, 2, 1, 2, 2, 2, 3, 4, 2, 2, 1, 2, 2, 4, 0, 4, 3, 4, 2, 3, 4, 3, 1, 0, 1, 0, 0, 3, 1, 3, 4, 2, 2, 3, 1, 0, 0, 4, 3, 0, 2, 3, 1, 1, 2, 2, 2, 3, 1, 0, 2, 1, 3, 0, 4, 3, 3, 0, 0, 0, 1, 2, 4, 2, 2, 4, 1, 3, 4, 0, 2, 3, 3, 1, 3, 2, 2, 1, 0, 4, 0, 2, 3, 1, 2, 4, 3, 3, 2, 3, 4, 3, 0, 0, 2, 4, 4, 0, 4, 4, 3, 2, 0, 1, 3, 4, 3, 2, 2, 2, 3, 0, 2, 3, 2, 2, 1, 3, 0, 0, 3, 1, 4, 4, 4, 1, 1, 1, 2, 4, 1, 2, 3, 4, 0, 3, 1, 1, 2, 3, 1, 4, 3, 2, 4, 0, 0, 0, 1, 3, 0, 0, 4, 0, 1, 4, 4, 4, 0, 2, 3, 1, 1, 2, 2, 4, 3, 4, 4, 3, 1, 0, 2, 4, 4, 3, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 4, 0, 2, 1, 3, 4, 2, 4, 4, 1, 0, 3, 4, 2, 3, 2, 2, 0, 0, 1, 2, 0, 0, 3, 1, 1, 2, 0, 1, 0, 4, 3, 2, 2, 2, 0, 3, 4, 1, 1, 0, 4, 0, 0, 1, 0, 3, 3, 4, 2, 1, 3, 2, 3, 1, 1, 2, 2, 4, 0, 2, 0, 2, 4, 3, 0, 4, 1, 3, 1, 2, 3, 2, 3, 0, 4, 3, 0, 0, 2, 1, 0, 2, 4, 0, 1, 2, 1, 2, 0, 0, 0, 1, 3, 4]
pubkeycol706 = [0, 1, 2, 2, 0, 3, 4, 2, 3, 0, 3, 3, 2, 1, 1, 0, 2, 2, 0, 4, 4, 0, 0, 3, 3, 1, 2, 4, 1, 1, 0, 2, 3, 0, 0, 0, 4, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 4, 3, 3, 3, 1, 3, 3, 2, 4, 4, 4, 3, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 4, 4, 2, 2, 1, 4, 3, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 3, 0, 3, 3, 1, 3, 2, 3, 4, 4, 1, 0, 4, 1, 2, 4, 0, 2, 1, 3, 3, 1, 4, 3, 4, 3, 4, 2, 1, 1, 4, 4, 3, 1, 1, 4, 4, 2, 0, 2, 0, 4, 3, 2, 3, 2, 4, 4, 0, 4, 0, 3, 2, 2, 3, 4, 3, 2, 0, 4, 2, 1, 1, 0, 4, 3, 2, 0, 2, 4, 0, 1, 0, 1, 2, 3, 3, 1, 4, 3, 0, 3, 4, 1, 2, 3, 2, 4, 0, 4, 4, 2, 2, 0, 3, 2, 4, 3, 3, 3, 0, 4, 3, 4, 1, 1, 0, 3, 3, 0, 1, 1, 3, 4, 1, 3, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 2, 3, 3, 0, 4, 2, 1, 4, 1, 2, 0, 1, 2, 4, 1, 4, 0, 4, 0, 2, 1, 0, 4, 3, 4, 4, 0, 1, 3, 4, 2, 0, 2, 4, 1, 3, 0, 0, 4, 1, 0, 0, 0, 2, 1, 2, 3, 4, 4, 4, 2, 4, 2, 0, 3, 3, 1, 4, 2, 2, 4, 3, 0, 3, 4, 3, 2, 4, 3, 3, 0, 4, 0, 4, 0, 1, 4, 4, 4, 2, 1, 3, 1, 1, 0, 4, 1, 1, 0, 2, 0, 1, 1, 1, 4, 4, 3, 3, 1, 2, 3, 3, 4, 0, 0, 0, 3, 0, 2, 2, 0, 3, 3, 2, 4, 2, 2, 1, 1, 4, 1, 3, 4, 1, 3, 2, 1, 3, 1, 4, 1, 1, 2, 4, 2, 2, 3, 2, 3, 1, 2, 4, 1, 3, 2, 4, 3, 4, 2, 2, 4, 0, 2, 0, 3, 4, 0, 1, 0, 1, 0, 3, 0, 2, 0, 0, 3, 4, 3, 2, 0, 3, 4, 3, 1, 0, 2, 0, 0, 2, 0, 3, 3]
pubkeycol707 = [3, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 0, 0, 2, 0, 4, 4, 3, 1, 2, 4, 3, 0, 3, 3, 1, 4, 4, 4, 4, 3, 0, 0, 1, 1, 0, 1, 4, 3, 1, 3, 0, 1, 2, 2, 0, 1, 0, 4, 4, 0, 4, 3, 4, 3, 2, 4, 3, 0, 2, 2, 1, 4, 3, 3, 3, 4, 0, 0, 3, 3, 2, 1, 1, 3, 1, 3, 2, 4, 3, 4, 3, 1, 0, 3, 4, 0, 3, 2, 4, 2, 2, 0, 3, 3, 3, 0, 2, 4, 0, 3, 3, 2, 3, 0, 4, 3, 4, 2, 1, 3, 1, 1, 3, 4, 3, 3, 4, 2, 3, 0, 1, 0, 2, 4, 0, 2, 4, 0, 4, 1, 4, 4, 4, 1, 3, 4, 2, 0, 2, 3, 3, 1, 3, 1, 3, 0, 4, 4, 3, 2, 2, 2, 0, 4, 3, 3, 0, 2, 4, 3, 1, 3, 4, 4, 0, 3, 1, 1, 4, 3, 2, 3, 3, 0, 4, 2, 0, 1, 4, 4, 3, 1, 0, 4, 1, 4, 4, 2, 2, 1, 3, 4, 0, 0, 0, 4, 2, 0, 2, 4, 1, 4, 0, 4, 4, 3, 3, 1, 2, 0, 4, 2, 2, 3, 4, 2, 1, 4, 1, 4, 4, 2, 1, 2, 4, 3, 2, 1, 3, 1, 2, 1, 2, 1, 0, 4, 3, 0, 1, 2, 1, 0, 4, 4, 1, 4, 0, 2, 4, 0, 2, 3, 2, 1, 4, 4, 2, 0, 3, 3, 1, 2, 4, 2, 1, 3, 3, 4, 3, 0, 4, 1, 0, 1, 1, 2, 4, 1, 1, 1, 4, 2, 3, 1, 0, 3, 1, 3, 1, 3, 2, 2, 4, 0, 2, 0, 2, 1, 3, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 3, 0, 0, 3, 2, 0, 1, 0, 4, 4, 4, 4, 0, 1, 2, 2, 4, 1, 0, 4, 1, 2, 1, 0, 4, 1, 4, 1, 4, 1, 1, 2, 3, 1, 2, 3, 1, 4, 3, 2, 0, 0, 2, 0, 2, 4, 1, 4, 1, 1, 4, 0, 3, 3, 4, 1, 3, 4, 1, 4, 1, 0, 3, 3, 3, 3, 2, 4, 1, 2, 0, 4, 3, 3, 1, 2, 1, 2, 4, 3, 4, 3, 0, 3, 2, 2, 0]
pubkeycol708 = [0, 3, 0, 4, 4, 2, 1, 2, 1, 4, 0, 2, 2, 0, 1, 4, 2, 0, 4, 4, 4, 1, 2, 2, 4, 2, 4, 0, 1, 0, 4, 4, 3, 1, 0, 3, 3, 0, 1, 0, 0, 3, 0, 4, 2, 2, 1, 4, 2, 1, 3, 2, 4, 0, 2, 1, 0, 1, 3, 0, 4, 0, 4, 2, 0, 2, 1, 0, 4, 4, 1, 0, 1, 4, 1, 1, 4, 0, 1, 2, 0, 2, 2, 3, 2, 3, 1, 4, 4, 1, 2, 0, 0, 4, 2, 3, 1, 1, 0, 2, 3, 2, 4, 4, 0, 2, 4, 0, 4, 2, 3, 3, 0, 0, 2, 4, 1, 2, 4, 0, 3, 4, 3, 0, 0, 2, 4, 1, 4, 4, 3, 1, 1, 2, 4, 2, 1, 1, 2, 0, 2, 0, 3, 1, 0, 0, 0, 0, 4, 0, 2, 4, 0, 0, 2, 4, 3, 3, 4, 2, 3, 3, 3, 1, 2, 3, 2, 4, 4, 1, 1, 3, 2, 3, 3, 4, 3, 0, 1, 4, 2, 4, 4, 1, 0, 2, 0, 4, 0, 2, 1, 0, 1, 2, 3, 0, 2, 2, 4, 3, 1, 4, 4, 0, 0, 3, 1, 2, 0, 2, 2, 4, 2, 1, 4, 2, 4, 2, 4, 0, 4, 2, 2, 1, 4, 4, 4, 3, 1, 4, 3, 3, 0, 3, 2, 4, 4, 2, 1, 2, 1, 0, 2, 0, 3, 1, 4, 4, 3, 4, 4, 4, 0, 4, 1, 1, 3, 0, 0, 2, 1, 4, 2, 3, 4, 0, 3, 0, 4, 3, 4, 2, 3, 3, 1, 0, 1, 2, 2, 1, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 4, 3, 1, 0, 0, 3, 2, 3, 3, 2, 1, 3, 4, 3, 4, 3, 2, 4, 2, 1, 2, 1, 4, 4, 0, 0, 1, 2, 2, 1, 0, 3, 4, 3, 3, 3, 1, 1, 2, 3, 1, 2, 0, 3, 1, 0, 0, 2, 3, 4, 0, 4, 2, 2, 1, 2, 1, 1, 2, 3, 2, 3, 1, 1, 3, 4, 0, 3, 1, 0, 3, 0, 0, 0, 2, 3, 2, 3, 1, 1, 2, 0, 3, 4, 1, 4, 0, 4, 1, 0, 0, 4, 3, 2, 0, 0, 3, 3, 4, 2, 2, 3, 3, 1, 0, 1, 4, 4, 1]
pubkeycol709 = [4, 3, 1, 1, 4, 4, 4, 0, 4, 3, 1, 2, 0, 0, 1, 3, 4, 3, 3, 0, 0, 2, 3, 1, 1, 1, 1, 4, 3, 4, 1, 3, 3, 0, 3, 3, 1, 4, 1, 1, 2, 0, 1, 2, 3, 1, 4, 0, 0, 0, 1, 2, 1, 1, 0, 2, 4, 0, 2, 2, 3, 1, 1, 1, 0, 1, 3, 3, 3, 2, 3, 3, 1, 2, 1, 3, 0, 1, 4, 4, 3, 2, 3, 0, 3, 2, 2, 4, 3, 1, 1, 0, 1, 1, 1, 3, 1, 1, 3, 4, 4, 3, 4, 0, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 4, 3, 0, 0, 3, 0, 3, 2, 0, 2, 2, 4, 0, 4, 4, 0, 2, 2, 4, 4, 3, 3, 2, 2, 2, 4, 0, 2, 2, 2, 1, 2, 4, 3, 4, 0, 0, 2, 0, 2, 4, 3, 3, 3, 0, 0, 2, 0, 4, 3, 3, 0, 3, 1, 0, 3, 1, 3, 2, 1, 0, 0, 4, 0, 0, 3, 0, 0, 4, 3, 4, 0, 3, 4, 4, 4, 1, 4, 1, 2, 4, 0, 3, 3, 3, 4, 0, 0, 1, 0, 1, 2, 3, 4, 3, 4, 4, 2, 2, 3, 2, 1, 0, 3, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 4, 2, 0, 3, 4, 3, 3, 4, 0, 1, 4, 0, 1, 1, 0, 1, 3, 0, 4, 4, 4, 3, 3, 3, 2, 2, 1, 2, 3, 1, 2, 0, 0, 3, 3, 1, 1, 0, 4, 3, 1, 0, 4, 3, 4, 1, 0, 2, 2, 1, 3, 4, 0, 2, 4, 2, 2, 3, 2, 1, 1, 0, 0, 2, 3, 3, 2, 3, 2, 4, 3, 1, 2, 0, 0, 3, 4, 4, 1, 2, 1, 0, 2, 2, 3, 0, 0, 4, 3, 4, 1, 4, 1, 0, 2, 0, 3, 3, 2, 3, 3, 0, 2, 4, 2, 2, 0, 3, 1, 0, 1, 0, 4, 4, 4, 3, 0, 4, 1, 2, 3, 3, 0, 1, 1, 3, 3, 3, 0, 3, 4, 4, 2, 1, 1, 3, 3, 0, 4, 2, 4, 1, 1, 3, 0, 0, 1, 0, 3, 2, 2, 4, 0, 4, 4, 1, 4, 2, 2, 4, 2, 0, 0, 3, 2, 3, 4, 3, 0, 1, 1, 3]
pubkeycol710 = [2, 4, 2, 2, 0, 1, 3, 0, 1, 3, 3, 1, 1, 0, 4, 4, 1, 2, 4, 4, 4, 2, 4, 0, 3, 3, 0, 1, 3, 2, 1, 3, 3, 1, 3, 0, 3, 0, 4, 2, 1, 0, 2, 0, 1, 3, 3, 0, 1, 1, 4, 1, 4, 0, 0, 0, 0, 1, 2, 2, 1, 4, 0, 4, 1, 1, 1, 4, 1, 4, 1, 0, 1, 2, 3, 2, 4, 4, 1, 0, 3, 0, 2, 0, 2, 0, 2, 2, 4, 2, 1, 3, 4, 3, 2, 0, 3, 0, 0, 4, 0, 1, 3, 1, 1, 4, 0, 2, 2, 2, 4, 4, 3, 0, 0, 4, 0, 1, 0, 3, 4, 2, 1, 2, 1, 0, 4, 0, 4, 4, 4, 1, 4, 0, 1, 4, 0, 0, 1, 0, 2, 2, 3, 0, 4, 2, 4, 2, 4, 3, 0, 4, 1, 0, 3, 3, 1, 2, 0, 0, 1, 4, 3, 4, 0, 1, 2, 2, 1, 1, 4, 4, 3, 3, 3, 2, 0, 2, 3, 0, 1, 2, 2, 1, 3, 0, 2, 2, 1, 0, 3, 0, 0, 2, 2, 4, 4, 0, 4, 1, 2, 4, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 3, 3, 1, 2, 1, 0, 4, 1, 0, 3, 1, 1, 1, 0, 0, 1, 1, 1, 3, 4, 3, 0, 0, 3, 2, 1, 4, 3, 4, 0, 2, 2, 1, 2, 2, 4, 1, 3, 1, 4, 0, 1, 2, 0, 2, 2, 0, 0, 0, 3, 4, 1, 3, 0, 4, 2, 3, 0, 1, 0, 1, 4, 4, 4, 2, 2, 1, 1, 3, 3, 3, 2, 3, 3, 1, 2, 2, 2, 4, 2, 3, 3, 4, 3, 4, 1, 3, 4, 4, 4, 2, 3, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 3, 3, 3, 2, 4, 1, 1, 3, 0, 4, 0, 0, 2, 4, 1, 1, 2, 4, 2, 2, 2, 2, 2, 4, 1, 3, 4, 4, 4, 3, 3, 2, 3, 4, 2, 0, 0, 1, 4, 1, 0, 2, 1, 0, 3, 0, 3, 0, 2, 4, 3, 2, 2, 2, 3, 2, 4, 1, 0, 0, 2, 3, 0, 0, 2, 4, 2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 1, 2, 1, 4, 2, 1, 2, 4, 4]
pubkeycol711 = [1, 0, 2, 2, 4, 4, 2, 3, 0, 1, 4, 1, 4, 0, 3, 3, 4, 0, 4, 0, 1, 1, 0, 2, 1, 3, 3, 2, 3, 4, 3, 3, 1, 4, 4, 4, 2, 2, 1, 0, 1, 3, 1, 1, 0, 4, 3, 1, 4, 1, 2, 4, 0, 0, 1, 3, 1, 1, 2, 2, 0, 1, 4, 3, 2, 3, 0, 4, 2, 1, 1, 2, 0, 4, 1, 0, 1, 4, 1, 4, 0, 4, 1, 1, 3, 1, 3, 1, 0, 0, 2, 3, 1, 1, 1, 4, 4, 3, 2, 0, 2, 0, 1, 3, 2, 4, 2, 4, 0, 1, 1, 4, 2, 4, 1, 1, 2, 0, 3, 4, 0, 4, 4, 2, 2, 0, 0, 0, 2, 4, 0, 3, 0, 3, 4, 2, 4, 1, 1, 4, 1, 4, 4, 0, 1, 4, 4, 3, 2, 0, 1, 2, 4, 4, 1, 1, 2, 2, 0, 3, 0, 0, 1, 1, 0, 1, 4, 3, 4, 3, 1, 2, 2, 3, 2, 0, 4, 4, 4, 3, 0, 0, 3, 3, 1, 2, 2, 0, 3, 0, 0, 2, 2, 3, 4, 1, 3, 0, 4, 0, 1, 0, 3, 2, 1, 2, 3, 0, 1, 3, 1, 3, 3, 0, 3, 3, 3, 4, 4, 2, 3, 2, 2, 1, 4, 1, 3, 3, 1, 4, 0, 2, 1, 1, 2, 3, 1, 1, 2, 3, 0, 3, 4, 2, 4, 0, 3, 0, 4, 0, 4, 3, 2, 1, 4, 3, 2, 1, 1, 4, 4, 3, 1, 1, 0, 2, 2, 0, 3, 1, 4, 3, 1, 0, 1, 2, 1, 3, 0, 2, 2, 0, 1, 3, 2, 3, 4, 1, 4, 0, 3, 2, 0, 3, 2, 0, 2, 2, 1, 2, 4, 0, 2, 2, 0, 4, 2, 3, 1, 3, 1, 2, 3, 0, 0, 1, 3, 0, 0, 0, 2, 0, 1, 4, 1, 0, 3, 4, 2, 4, 0, 0, 0, 4, 1, 4, 0, 4, 3, 4, 2, 4, 0, 3, 4, 1, 3, 4, 4, 2, 4, 4, 2, 0, 1, 1, 0, 1, 2, 4, 1, 4, 0, 1, 4, 2, 3, 3, 0, 1, 2, 4, 2, 2, 3, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 3, 1, 3, 4, 2, 3, 0, 2, 0, 4, 3, 2]
pubkeycol712 = [1, 4, 1, 4, 1, 0, 3, 0, 3, 2, 2, 2, 4, 2, 0, 3, 0, 1, 2, 2, 2, 2, 4, 3, 2, 2, 2, 0, 0, 2, 4, 3, 1, 1, 2, 2, 3, 3, 1, 1, 3, 1, 0, 1, 0, 4, 2, 0, 0, 1, 2, 2, 4, 2, 2, 2, 4, 1, 4, 3, 0, 3, 0, 2, 1, 1, 4, 0, 4, 3, 0, 0, 4, 1, 2, 3, 1, 0, 2, 1, 0, 3, 2, 1, 0, 1, 1, 2, 0, 2, 3, 1, 2, 1, 4, 2, 4, 2, 1, 2, 4, 4, 1, 1, 2, 3, 4, 0, 2, 0, 0, 3, 4, 3, 0, 4, 4, 2, 1, 3, 4, 2, 4, 0, 0, 3, 4, 1, 3, 4, 1, 4, 4, 1, 1, 2, 4, 0, 2, 4, 0, 3, 3, 1, 2, 0, 4, 0, 3, 2, 2, 3, 1, 3, 3, 2, 2, 0, 0, 2, 2, 3, 3, 1, 0, 2, 4, 3, 2, 2, 4, 3, 4, 1, 2, 1, 2, 0, 3, 3, 4, 1, 1, 1, 2, 4, 2, 2, 2, 0, 0, 3, 0, 2, 4, 0, 3, 1, 2, 4, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 3, 2, 2, 3, 2, 4, 1, 3, 3, 1, 1, 1, 2, 3, 1, 2, 2, 3, 0, 0, 2, 3, 2, 4, 4, 2, 2, 1, 0, 0, 4, 3, 1, 2, 1, 4, 2, 4, 4, 4, 3, 4, 0, 2, 1, 4, 1, 2, 0, 3, 2, 3, 2, 3, 0, 4, 0, 1, 3, 4, 0, 0, 4, 4, 0, 3, 0, 4, 4, 0, 3, 0, 0, 2, 3, 4, 0, 1, 2, 1, 3, 4, 1, 3, 1, 4, 4, 3, 2, 4, 1, 0, 1, 2, 0, 1, 0, 4, 3, 1, 0, 2, 0, 4, 0, 1, 4, 2, 0, 4, 0, 1, 0, 2, 3, 2, 4, 4, 0, 1, 4, 2, 1, 0, 4, 3, 3, 3, 0, 3, 0, 2, 3, 1, 3, 0, 3, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 3, 4, 4, 3, 4, 1, 2, 3, 2, 3, 1, 1, 2, 2, 1, 3, 2, 4, 0, 3, 0, 1, 0, 4, 0, 3, 1, 3, 3, 1, 1, 3, 0, 4, 1, 0, 3, 0, 1, 1, 0, 4]
pubkeycol713 = [2, 0, 2, 1, 0, 1, 2, 3, 1, 2, 4, 0, 2, 3, 2, 1, 4, 0, 2, 1, 2, 2, 3, 4, 3, 2, 1, 2, 2, 4, 0, 1, 4, 3, 0, 3, 3, 3, 3, 1, 1, 3, 4, 1, 4, 1, 2, 2, 3, 0, 2, 0, 0, 0, 1, 1, 3, 0, 1, 3, 2, 2, 4, 1, 4, 4, 4, 1, 4, 0, 3, 0, 4, 1, 2, 1, 0, 4, 1, 2, 0, 4, 0, 0, 4, 1, 3, 3, 1, 4, 3, 2, 3, 2, 4, 2, 2, 4, 2, 2, 1, 0, 2, 3, 1, 3, 3, 0, 4, 3, 4, 2, 4, 2, 4, 2, 3, 1, 2, 1, 1, 2, 4, 0, 2, 0, 4, 1, 3, 1, 0, 3, 2, 3, 2, 0, 1, 2, 2, 0, 1, 4, 1, 4, 1, 0, 4, 2, 2, 4, 1, 3, 2, 3, 3, 1, 2, 1, 1, 1, 4, 4, 3, 2, 3, 0, 1, 2, 1, 0, 4, 1, 3, 2, 1, 4, 1, 3, 0, 2, 2, 3, 4, 2, 2, 4, 4, 0, 1, 0, 2, 3, 0, 0, 4, 4, 2, 4, 3, 1, 0, 0, 3, 2, 2, 3, 0, 4, 2, 2, 1, 4, 0, 1, 1, 4, 3, 2, 2, 1, 2, 4, 4, 3, 2, 1, 2, 1, 3, 0, 4, 4, 2, 0, 4, 4, 3, 0, 1, 2, 4, 2, 1, 0, 1, 3, 2, 4, 1, 0, 2, 2, 3, 0, 1, 2, 0, 0, 0, 2, 1, 0, 4, 4, 3, 3, 4, 4, 1, 1, 0, 4, 4, 0, 4, 1, 3, 0, 1, 1, 1, 0, 0, 0, 4, 0, 4, 0, 1, 1, 0, 4, 3, 2, 4, 3, 2, 2, 3, 4, 0, 2, 0, 2, 0, 2, 1, 2, 1, 4, 0, 0, 1, 1, 3, 2, 2, 2, 1, 4, 2, 1, 3, 3, 2, 0, 0, 2, 3, 2, 0, 0, 0, 1, 4, 2, 0, 4, 1, 3, 2, 4, 2, 3, 2, 0, 2, 3, 0, 2, 3, 4, 0, 1, 1, 0, 3, 0, 4, 1, 3, 4, 0, 1, 1, 3, 4, 0, 3, 4, 3, 1, 0, 4, 1, 3, 4, 1, 4, 1, 3, 0, 4, 2, 0, 4, 1, 4, 4, 4, 0, 0, 4, 2, 4, 2, 3, 3, 0, 3]
pubkeycol714 = [0, 1, 0, 2, 2, 0, 1, 3, 3, 1, 1, 2, 4, 2, 3, 3, 3, 4, 0, 4, 0, 2, 4, 0, 2, 4, 3, 1, 0, 0, 3, 4, 3, 2, 4, 4, 4, 1, 1, 0, 1, 4, 1, 2, 3, 2, 1, 0, 0, 1, 2, 0, 2, 0, 3, 2, 2, 0, 2, 0, 0, 3, 1, 2, 1, 2, 3, 4, 3, 4, 4, 2, 3, 2, 0, 4, 4, 1, 2, 1, 3, 4, 2, 0, 0, 1, 1, 0, 2, 3, 1, 3, 4, 2, 3, 0, 2, 3, 1, 3, 2, 4, 1, 0, 3, 4, 3, 4, 1, 0, 3, 4, 3, 1, 4, 4, 2, 3, 2, 4, 0, 4, 4, 0, 3, 2, 4, 3, 4, 4, 3, 3, 1, 4, 0, 3, 3, 1, 0, 1, 0, 2, 0, 1, 3, 3, 0, 4, 4, 3, 1, 3, 2, 1, 4, 4, 4, 3, 3, 4, 2, 1, 1, 3, 0, 1, 2, 3, 3, 1, 4, 0, 0, 1, 0, 3, 3, 1, 0, 1, 2, 0, 2, 1, 4, 3, 3, 0, 0, 3, 3, 2, 1, 4, 3, 4, 2, 0, 2, 2, 1, 0, 4, 2, 3, 2, 3, 3, 2, 4, 2, 0, 1, 4, 3, 3, 1, 4, 0, 3, 0, 0, 2, 1, 3, 2, 3, 4, 3, 4, 4, 0, 4, 3, 1, 0, 4, 3, 3, 0, 0, 4, 3, 1, 0, 2, 1, 3, 4, 0, 4, 2, 2, 2, 1, 3, 4, 3, 3, 2, 4, 2, 4, 0, 3, 0, 1, 3, 1, 4, 0, 4, 0, 2, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 4, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 4, 0, 1, 2, 0, 1, 1, 3, 4, 2, 3, 4, 2, 3, 2, 3, 4, 4, 1, 2, 3, 3, 0, 4, 2, 4, 4, 3, 1, 4, 4, 4, 1, 4, 1, 4, 3, 1, 1, 2, 3, 3, 4, 1, 3, 3, 1, 3, 0, 2, 0, 3, 3, 1, 1, 3, 0, 4, 3, 0, 1, 2, 1, 4, 0, 0, 4, 0, 1, 0, 3, 1, 0, 1, 0, 3, 4, 4, 2, 2, 0, 4, 3, 1, 0, 0, 0, 0, 1, 3, 4, 0, 2, 0, 3, 0, 2, 4, 2, 4, 0, 1, 0]
pubkeycol715 = [4, 3, 1, 2, 2, 0, 3, 0, 4, 0, 4, 3, 0, 4, 1, 4, 1, 3, 0, 2, 4, 1, 4, 3, 3, 4, 4, 4, 2, 4, 3, 0, 3, 0, 2, 4, 4, 1, 4, 1, 2, 3, 2, 3, 2, 1, 4, 1, 0, 0, 3, 0, 2, 3, 3, 3, 3, 4, 1, 1, 1, 1, 2, 4, 0, 1, 3, 0, 2, 2, 0, 2, 4, 1, 4, 2, 4, 2, 2, 0, 4, 4, 0, 2, 1, 1, 1, 4, 2, 2, 0, 4, 4, 2, 1, 3, 0, 3, 2, 1, 1, 1, 1, 0, 0, 2, 3, 4, 3, 1, 2, 4, 3, 0, 1, 4, 4, 2, 0, 0, 1, 3, 0, 1, 0, 0, 2, 2, 1, 4, 0, 3, 0, 0, 3, 2, 0, 4, 1, 2, 3, 1, 0, 0, 4, 0, 1, 0, 2, 4, 1, 2, 3, 3, 1, 3, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 3, 4, 4, 3, 3, 4, 4, 2, 1, 3, 2, 1, 3, 4, 4, 0, 1, 2, 4, 1, 3, 0, 2, 4, 4, 4, 0, 1, 0, 0, 3, 0, 2, 1, 0, 4, 2, 3, 2, 2, 2, 1, 4, 1, 4, 0, 4, 4, 3, 1, 0, 4, 0, 3, 2, 3, 1, 4, 2, 4, 0, 3, 0, 1, 0, 1, 4, 1, 0, 0, 0, 2, 4, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 3, 1, 0, 1, 4, 3, 0, 2, 4, 4, 1, 4, 2, 2, 0, 2, 3, 3, 0, 1, 4, 2, 2, 3, 1, 3, 3, 1, 1, 3, 2, 1, 0, 4, 2, 2, 4, 3, 1, 2, 4, 3, 1, 1, 1, 3, 3, 1, 3, 2, 2, 2, 2, 1, 0, 4, 1, 4, 3, 1, 2, 3, 4, 4, 2, 2, 1, 0, 2, 3, 3, 4, 3, 3, 0, 3, 4, 3, 4, 2, 4, 0, 0, 3, 2, 0, 3, 4, 1, 1, 2, 2, 0, 0, 4, 1, 3, 0, 0, 1, 2, 3, 0, 2, 2, 3, 3, 1, 1, 0, 2, 0, 2, 4, 1, 0, 4, 2, 0, 3, 4, 0, 1, 2, 3, 0, 2, 2, 3, 0, 4, 4, 1, 3, 3, 4, 1, 4, 3, 4, 4, 1, 0, 2, 0, 3, 1, 4, 3, 2]
pubkeycol716 = [0, 1, 3, 3, 4, 2, 1, 4, 3, 4, 3, 3, 4, 1, 0, 2, 1, 4, 1, 3, 0, 4, 0, 3, 1, 1, 2, 2, 3, 3, 4, 2, 4, 2, 3, 0, 0, 1, 0, 2, 4, 0, 1, 0, 1, 2, 3, 0, 3, 1, 3, 3, 2, 4, 1, 3, 1, 0, 4, 4, 4, 1, 0, 1, 4, 3, 0, 3, 4, 0, 3, 1, 1, 0, 4, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 4, 1, 0, 3, 3, 2, 4, 1, 4, 2, 2, 2, 1, 4, 0, 4, 4, 3, 0, 0, 0, 1, 2, 3, 2, 0, 0, 1, 4, 2, 4, 2, 4, 0, 2, 4, 2, 0, 2, 4, 1, 0, 0, 2, 1, 3, 3, 4, 0, 1, 1, 1, 3, 3, 2, 3, 2, 4, 1, 4, 1, 1, 1, 3, 2, 0, 0, 2, 0, 1, 2, 2, 0, 3, 1, 0, 1, 1, 0, 2, 4, 0, 3, 4, 3, 0, 0, 4, 1, 2, 3, 4, 4, 0, 0, 2, 0, 0, 1, 1, 4, 1, 3, 4, 3, 2, 1, 3, 2, 2, 2, 0, 0, 4, 3, 4, 2, 4, 0, 1, 2, 1, 1, 3, 0, 4, 1, 2, 4, 0, 2, 2, 1, 4, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 3, 1, 3, 1, 3, 1, 3, 2, 1, 4, 1, 1, 3, 4, 0, 1, 1, 2, 1, 1, 3, 0, 4, 0, 3, 2, 0, 0, 4, 3, 3, 1, 3, 1, 3, 3, 2, 3, 0, 4, 4, 3, 1, 2, 4, 2, 2, 0, 4, 1, 2, 2, 1, 0, 4, 0, 0, 3, 4, 2, 2, 3, 0, 2, 4, 4, 2, 2, 3, 2, 3, 2, 0, 3, 4, 2, 2, 2, 3, 3, 3, 1, 1, 4, 2, 2, 3, 4, 1, 1, 2, 4, 4, 0, 4, 0, 3, 4, 0, 1, 1, 3, 2, 2, 0, 0, 2, 1, 0, 3, 0, 0, 0, 4, 1, 3, 4, 1, 4, 0, 4, 4, 3, 4, 0, 2, 0, 2, 2, 1, 3, 1, 4, 4, 1, 4, 4, 2, 3, 1, 1, 1, 4, 3, 2, 1, 4, 3, 3, 0, 0, 4, 1, 2, 4, 1, 3, 3, 1, 4, 3, 3, 0, 3]
pubkeycol717 = [1, 0, 3, 0, 4, 4, 4, 2, 1, 3, 4, 4, 1, 3, 1, 4, 1, 0, 1, 2, 4, 2, 3, 4, 4, 0, 3, 0, 2, 2, 3, 2, 1, 0, 4, 0, 3, 0, 4, 2, 1, 1, 1, 4, 4, 4, 0, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 2, 3, 2, 2, 0, 0, 1, 3, 0, 3, 1, 1, 2, 0, 2, 3, 4, 4, 3, 0, 1, 0, 1, 0, 4, 4, 4, 0, 3, 1, 3, 0, 3, 3, 3, 1, 3, 2, 0, 0, 2, 2, 3, 4, 4, 3, 2, 4, 3, 0, 1, 1, 3, 0, 4, 0, 4, 0, 3, 1, 0, 4, 1, 4, 1, 4, 2, 4, 1, 3, 1, 0, 2, 0, 4, 4, 3, 1, 0, 3, 1, 2, 1, 3, 3, 4, 4, 0, 1, 4, 2, 2, 4, 2, 0, 3, 3, 0, 0, 1, 0, 1, 2, 0, 3, 0, 4, 2, 1, 2, 4, 0, 0, 0, 0, 2, 3, 3, 2, 3, 0, 0, 1, 3, 0, 0, 0, 4, 1, 0, 1, 2, 4, 4, 3, 4, 2, 1, 3, 2, 4, 0, 1, 4, 0, 0, 3, 2, 2, 3, 3, 4, 1, 0, 3, 3, 4, 3, 0, 1, 2, 1, 2, 2, 1, 1, 4, 1, 1, 3, 2, 4, 1, 0, 2, 4, 0, 2, 1, 4, 2, 1, 4, 4, 1, 2, 3, 2, 3, 4, 3, 3, 3, 0, 3, 4, 0, 0, 0, 2, 2, 3, 0, 1, 4, 0, 1, 0, 4, 1, 4, 1, 1, 3, 4, 1, 2, 2, 1, 2, 2, 3, 0, 3, 4, 0, 0, 2, 0, 3, 3, 2, 4, 4, 3, 1, 2, 1, 1, 3, 3, 1, 4, 4, 1, 3, 3, 2, 2, 4, 0, 3, 1, 3, 0, 3, 1, 3, 0, 3, 1, 1, 2, 3, 2, 0, 1, 4, 1, 0, 3, 4, 4, 4, 0, 2, 2, 4, 3, 2, 0, 3, 2, 1, 1, 4, 4, 2, 2, 0, 3, 2, 2, 1, 3, 1, 0, 1, 4, 4, 4, 1, 3, 3, 2, 3, 4, 3, 2, 4, 2, 0, 4, 2, 2, 4, 4, 1, 4, 0, 0, 1, 3, 1, 3, 3, 3, 2, 1, 4, 1, 2, 0, 0, 3, 0, 3, 1, 2, 3, 3, 1, 3]
pubkeycol718 = [2, 4, 3, 0, 1, 1, 4, 3, 1, 2, 2, 4, 3, 2, 4, 0, 2, 4, 0, 0, 0, 1, 0, 4, 3, 2, 3, 4, 1, 2, 3, 0, 4, 1, 0, 1, 3, 0, 4, 2, 3, 2, 0, 0, 0, 3, 3, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 3, 1, 4, 2, 0, 4, 1, 2, 3, 0, 3, 3, 3, 0, 1, 3, 2, 0, 3, 1, 3, 1, 4, 4, 1, 0, 2, 0, 4, 3, 0, 4, 3, 2, 4, 2, 0, 2, 3, 2, 0, 1, 3, 2, 3, 2, 4, 4, 1, 1, 4, 4, 1, 4, 1, 2, 1, 1, 0, 1, 0, 3, 2, 0, 1, 0, 4, 1, 2, 3, 4, 2, 4, 2, 0, 3, 1, 4, 0, 0, 2, 0, 0, 2, 2, 0, 4, 0, 0, 4, 3, 4, 4, 4, 3, 0, 3, 1, 0, 2, 2, 1, 1, 3, 0, 4, 4, 4, 1, 0, 4, 3, 4, 2, 4, 2, 4, 2, 3, 3, 4, 2, 2, 2, 2, 4, 1, 4, 3, 1, 1, 4, 4, 4, 2, 2, 0, 2, 0, 0, 1, 0, 3, 3, 3, 4, 2, 2, 3, 1, 4, 1, 3, 3, 1, 4, 3, 3, 1, 4, 1, 0, 2, 2, 2, 1, 1, 0, 4, 1, 0, 3, 1, 1, 2, 4, 3, 4, 0, 4, 4, 2, 2, 1, 1, 1, 3, 2, 4, 4, 2, 0, 4, 1, 4, 4, 2, 4, 4, 4, 2, 1, 1, 1, 3, 4, 2, 0, 3, 1, 1, 4, 2, 3, 4, 3, 2, 0, 2, 4, 0, 2, 3, 2, 4, 2, 1, 4, 4, 3, 1, 1, 4, 4, 0, 4, 3, 1, 4, 4, 0, 0, 2, 3, 0, 4, 4, 4, 0, 2, 4, 2, 1, 2, 0, 4, 0, 0, 2, 4, 1, 4, 1, 1, 3, 2, 4, 0, 0, 2, 0, 3, 2, 1, 3, 2, 0, 1, 3, 3, 0, 4, 0, 0, 4, 2, 2, 1, 4, 1, 0, 4, 4, 0, 4, 1, 3, 0, 1, 3, 2, 1, 1, 2, 1, 3, 4, 4, 0, 3, 2, 1, 3, 1, 2, 4, 3, 1, 2, 0, 2, 4, 4, 0, 1, 3, 3, 2, 0, 3, 0, 1, 3, 1, 3, 1, 2, 0, 0, 4, 0, 0, 1]
pubkeycol719 = [4, 4, 4, 0, 4, 3, 4, 2, 4, 2, 4, 2, 2, 4, 2, 1, 3, 2, 4, 2, 4, 2, 0, 4, 0, 3, 1, 0, 3, 0, 3, 0, 1, 1, 0, 2, 4, 2, 2, 4, 2, 4, 1, 0, 3, 0, 4, 0, 1, 0, 1, 4, 3, 0, 2, 1, 0, 0, 0, 4, 2, 2, 3, 3, 4, 1, 2, 4, 2, 3, 4, 4, 0, 3, 3, 0, 2, 2, 2, 0, 1, 3, 1, 3, 0, 2, 1, 4, 3, 1, 3, 0, 4, 0, 4, 1, 2, 0, 0, 1, 3, 0, 0, 4, 0, 0, 1, 3, 4, 3, 0, 2, 0, 4, 3, 1, 0, 4, 4, 4, 4, 1, 4, 0, 4, 1, 4, 4, 0, 4, 1, 0, 1, 2, 0, 2, 3, 0, 3, 1, 3, 3, 3, 0, 3, 4, 4, 2, 4, 2, 0, 2, 1, 0, 0, 2, 2, 3, 2, 2, 1, 3, 3, 4, 1, 3, 4, 4, 1, 0, 0, 2, 4, 1, 3, 3, 2, 0, 4, 2, 1, 4, 3, 1, 1, 0, 1, 2, 1, 1, 3, 2, 3, 4, 2, 3, 2, 3, 0, 0, 4, 1, 3, 4, 1, 3, 2, 3, 2, 4, 1, 0, 2, 4, 2, 1, 2, 1, 0, 1, 4, 0, 1, 4, 2, 2, 2, 1, 4, 1, 4, 4, 2, 1, 2, 2, 2, 1, 1, 4, 4, 3, 4, 3, 0, 1, 0, 3, 2, 1, 3, 1, 2, 0, 2, 2, 3, 1, 3, 2, 3, 2, 1, 4, 3, 4, 0, 0, 2, 4, 3, 0, 4, 3, 2, 1, 4, 4, 1, 1, 1, 3, 3, 3, 1, 2, 0, 2, 0, 1, 0, 2, 1, 4, 0, 1, 2, 2, 4, 3, 1, 3, 2, 1, 2, 0, 1, 3, 3, 0, 3, 0, 2, 0, 0, 1, 4, 3, 0, 1, 3, 4, 1, 0, 1, 3, 0, 0, 2, 4, 3, 2, 3, 4, 4, 1, 4, 4, 4, 4, 3, 2, 1, 1, 1, 3, 1, 0, 2, 1, 3, 3, 3, 1, 2, 2, 1, 0, 3, 2, 0, 0, 2, 1, 2, 1, 2, 1, 3, 4, 2, 1, 3, 4, 3, 3, 3, 1, 1, 2, 3, 2, 0, 1, 3, 0, 2, 4, 2, 1, 1, 2, 3, 4, 0, 4, 4, 0, 1, 4]
pubkeycol720 = [2, 2, 4, 0, 3, 4, 2, 2, 1, 1, 4, 3, 1, 1, 0, 2, 2, 2, 0, 1, 1, 3, 4, 2, 1, 4, 1, 2, 3, 1, 0, 1, 3, 3, 0, 1, 1, 2, 2, 0, 0, 2, 2, 4, 3, 1, 2, 4, 4, 0, 3, 3, 4, 4, 0, 0, 4, 1, 4, 4, 4, 4, 4, 0, 1, 3, 0, 3, 0, 3, 0, 0, 0, 4, 4, 3, 1, 4, 0, 4, 1, 3, 0, 2, 4, 1, 4, 1, 4, 0, 1, 4, 2, 2, 3, 0, 2, 0, 4, 4, 0, 3, 2, 3, 2, 0, 3, 4, 1, 1, 1, 3, 1, 4, 2, 4, 2, 0, 4, 1, 0, 1, 1, 3, 3, 0, 1, 3, 3, 2, 4, 1, 0, 3, 1, 1, 3, 2, 2, 3, 0, 1, 2, 0, 0, 3, 1, 3, 0, 2, 3, 4, 1, 1, 2, 2, 3, 2, 2, 4, 3, 3, 2, 0, 0, 0, 4, 0, 4, 0, 0, 2, 2, 0, 3, 4, 1, 4, 1, 3, 4, 2, 3, 1, 0, 0, 4, 0, 0, 2, 4, 2, 3, 1, 4, 2, 4, 3, 4, 3, 1, 4, 3, 1, 3, 4, 1, 4, 3, 4, 2, 0, 0, 0, 4, 4, 3, 1, 3, 1, 1, 1, 2, 4, 2, 2, 4, 1, 3, 4, 1, 4, 2, 3, 0, 1, 4, 3, 4, 3, 1, 4, 3, 1, 2, 3, 2, 4, 4, 1, 3, 4, 0, 1, 4, 3, 2, 1, 3, 1, 3, 4, 1, 1, 0, 1, 2, 3, 2, 3, 4, 0, 4, 2, 4, 4, 3, 2, 4, 1, 1, 4, 1, 1, 4, 1, 3, 4, 2, 0, 1, 4, 1, 4, 2, 0, 3, 4, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 2, 0, 4, 3, 3, 3, 4, 0, 3, 3, 3, 3, 2, 1, 0, 4, 0, 4, 0, 2, 0, 2, 4, 4, 1, 4, 0, 2, 0, 1, 0, 0, 3, 3, 1, 4, 3, 3, 0, 2, 4, 1, 2, 4, 0, 1, 0, 2, 3, 3, 0, 4, 2, 3, 2, 2, 2, 1, 0, 0, 2, 0, 0, 4, 2, 4, 1, 0, 2, 2, 3, 2, 0, 4, 3, 2, 3, 4, 2, 1, 2, 2, 4, 4, 2, 1, 0, 4, 0, 4, 2, 1]
pubkeycol721 = [4, 1, 4, 4, 2, 1, 4, 3, 1, 2, 3, 4, 0, 2, 4, 2, 3, 0, 2, 1, 1, 0, 4, 3, 0, 3, 1, 0, 2, 4, 0, 1, 1, 1, 3, 3, 3, 1, 4, 2, 2, 4, 3, 1, 1, 1, 4, 2, 3, 1, 3, 3, 3, 4, 1, 4, 0, 3, 3, 0, 0, 1, 3, 3, 3, 4, 2, 4, 4, 2, 4, 2, 3, 2, 3, 1, 3, 2, 0, 2, 0, 4, 1, 1, 3, 4, 3, 1, 3, 3, 3, 3, 1, 0, 0, 0, 3, 1, 2, 1, 4, 4, 1, 4, 2, 0, 1, 4, 1, 2, 1, 3, 1, 3, 4, 2, 2, 3, 0, 3, 2, 4, 4, 3, 2, 0, 3, 2, 2, 3, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 4, 0, 1, 0, 2, 4, 4, 4, 4, 1, 4, 1, 2, 0, 3, 1, 3, 4, 3, 1, 4, 2, 2, 4, 1, 2, 2, 4, 1, 2, 3, 3, 4, 0, 3, 3, 3, 0, 1, 0, 1, 1, 2, 3, 0, 4, 3, 4, 1, 2, 4, 4, 0, 4, 1, 1, 2, 1, 3, 1, 0, 3, 3, 3, 0, 4, 1, 4, 4, 3, 4, 0, 3, 3, 1, 2, 4, 1, 4, 0, 4, 1, 3, 2, 0, 3, 4, 1, 1, 3, 4, 1, 4, 1, 4, 3, 2, 4, 2, 4, 3, 3, 3, 0, 0, 1, 3, 1, 0, 2, 2, 0, 0, 1, 3, 2, 2, 2, 1, 2, 3, 2, 1, 0, 0, 1, 1, 3, 3, 3, 4, 1, 3, 0, 2, 2, 0, 0, 4, 4, 2, 4, 3, 3, 0, 2, 2, 3, 0, 3, 1, 0, 2, 4, 3, 3, 1, 1, 3, 2, 4, 4, 2, 3, 3, 2, 0, 3, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 2, 3, 2, 2, 1, 2, 4, 1, 0, 0, 0, 4, 1, 4, 2, 2, 2, 1, 3, 2, 0, 2, 2, 2, 2, 4, 4, 4, 2, 0, 1, 4, 2, 2, 4, 2, 4, 0, 0, 4, 0, 2, 1, 4, 0, 0, 3, 1, 3, 0, 2, 2, 2, 3, 0, 2, 0, 0, 0, 4, 4, 0, 1, 1, 2, 0, 2, 0, 3, 3, 2, 0]
pubkeycol722 = [1, 3, 3, 0, 0, 1, 1, 3, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, 0, 1, 3, 3, 0, 4, 0, 0, 0, 4, 0, 2, 3, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 4, 1, 0, 4, 2, 1, 1, 4, 4, 3, 1, 1, 0, 0, 2, 2, 3, 3, 4, 2, 2, 3, 0, 4, 2, 3, 0, 0, 2, 1, 4, 3, 1, 4, 1, 0, 0, 3, 1, 3, 3, 4, 3, 3, 2, 3, 1, 0, 3, 0, 0, 1, 1, 1, 4, 4, 1, 0, 4, 3, 1, 3, 1, 2, 3, 2, 4, 2, 0, 2, 4, 4, 1, 4, 1, 3, 4, 0, 3, 1, 2, 3, 3, 2, 1, 0, 4, 0, 0, 0, 2, 4, 1, 3, 2, 0, 4, 3, 1, 3, 4, 3, 3, 3, 2, 0, 4, 3, 1, 4, 1, 0, 4, 3, 1, 2, 3, 2, 1, 3, 0, 0, 1, 2, 4, 0, 1, 4, 3, 4, 3, 1, 0, 4, 1, 1, 0, 2, 0, 1, 4, 1, 2, 4, 0, 1, 3, 1, 3, 3, 1, 0, 1, 2, 2, 3, 2, 0, 1, 2, 0, 3, 3, 0, 0, 2, 0, 3, 2, 4, 4, 3, 2, 3, 1, 2, 2, 0, 1, 0, 3, 1, 3, 2, 2, 1, 4, 0, 3, 2, 2, 0, 1, 0, 2, 2, 0, 4, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 0, 2, 0, 0, 3, 3, 2, 0, 4, 4, 1, 2, 0, 1, 1, 2, 3, 0, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 3, 0, 3, 1, 1, 4, 4, 1, 1, 0, 2, 1, 2, 2, 4, 1, 2, 2, 0, 4, 2, 3, 1, 3, 2, 1, 4, 2, 4, 1, 3, 1, 4, 2, 2, 2, 0, 3, 4, 4, 3, 2, 1, 1, 4, 0, 1, 3, 0, 4, 2, 4, 1, 4, 4, 0, 4, 1, 4, 3, 4, 4, 1, 3, 2, 2, 1, 4, 3, 3, 4, 2, 2, 0, 1, 0, 4, 0, 0, 3, 3, 3, 4, 2, 3, 3, 0, 2, 0, 0, 2, 2, 4, 1, 4, 1, 1, 3, 3, 4, 4, 0, 0, 2, 2, 0, 4, 1, 3, 2, 3, 2, 1, 4, 2, 1, 3]
pubkeycol723 = [1, 1, 4, 0, 3, 3, 4, 0, 0, 4, 3, 0, 3, 0, 4, 1, 3, 3, 3, 2, 3, 3, 2, 1, 0, 1, 1, 2, 2, 2, 4, 2, 1, 1, 1, 3, 3, 0, 4, 4, 0, 0, 3, 4, 3, 1, 3, 2, 2, 0, 3, 4, 3, 3, 0, 0, 2, 1, 3, 4, 3, 3, 1, 3, 4, 2, 1, 1, 0, 0, 2, 0, 4, 0, 0, 3, 2, 0, 2, 3, 2, 0, 1, 1, 0, 2, 4, 2, 1, 3, 4, 4, 2, 4, 2, 2, 3, 3, 1, 0, 3, 0, 0, 3, 2, 2, 2, 3, 1, 2, 1, 0, 2, 1, 3, 3, 0, 1, 0, 1, 3, 0, 0, 3, 4, 4, 2, 2, 1, 3, 4, 2, 0, 2, 3, 0, 4, 0, 1, 3, 0, 3, 0, 1, 4, 2, 1, 1, 1, 4, 2, 1, 2, 2, 3, 1, 1, 1, 3, 2, 1, 1, 2, 4, 0, 2, 1, 3, 0, 2, 1, 3, 2, 0, 3, 2, 4, 4, 0, 0, 3, 4, 1, 3, 2, 4, 3, 1, 2, 3, 3, 0, 2, 2, 1, 3, 2, 0, 4, 3, 0, 4, 1, 4, 3, 1, 4, 4, 1, 1, 1, 4, 0, 1, 4, 0, 1, 0, 3, 2, 1, 2, 3, 0, 0, 1, 3, 1, 1, 3, 0, 0, 3, 0, 4, 0, 0, 2, 4, 4, 3, 4, 3, 2, 1, 2, 1, 3, 2, 4, 0, 0, 3, 2, 1, 4, 1, 3, 0, 4, 2, 4, 4, 3, 3, 0, 1, 1, 3, 2, 0, 0, 4, 1, 1, 4, 1, 3, 0, 0, 4, 2, 2, 0, 3, 1, 3, 1, 0, 0, 1, 1, 4, 3, 0, 3, 3, 4, 0, 2, 0, 2, 4, 3, 1, 1, 2, 3, 3, 2, 0, 1, 4, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 3, 4, 2, 3, 4, 1, 2, 4, 1, 0, 4, 4, 0, 0, 3, 2, 0, 3, 3, 1, 0, 0, 3, 4, 0, 3, 2, 2, 2, 1, 0, 3, 2, 2, 1, 0, 4, 0, 0, 4, 2, 2, 2, 1, 1, 3, 4, 2, 4, 2, 0, 0, 3, 4, 2, 2, 0, 3, 0, 1, 0, 3, 3, 2, 0, 2, 0, 2, 0, 1, 4, 2, 2, 0, 2, 4, 4]
pubkeycol724 = [0, 0, 3, 0, 1, 2, 0, 0, 1, 4, 1, 3, 1, 0, 4, 3, 1, 2, 2, 1, 4, 1, 4, 2, 1, 1, 2, 3, 4, 0, 4, 3, 2, 2, 1, 1, 0, 2, 2, 3, 1, 1, 2, 2, 1, 1, 3, 1, 3, 0, 4, 1, 4, 2, 3, 0, 1, 1, 0, 1, 0, 4, 3, 2, 2, 0, 0, 3, 3, 2, 3, 2, 3, 4, 4, 2, 3, 0, 3, 0, 1, 1, 3, 4, 3, 0, 0, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 0, 3, 4, 1, 0, 2, 3, 4, 1, 3, 4, 0, 4, 1, 3, 4, 2, 4, 4, 4, 3, 0, 4, 1, 3, 0, 4, 3, 2, 2, 3, 1, 3, 0, 1, 3, 3, 4, 4, 0, 3, 1, 0, 3, 4, 1, 2, 1, 3, 3, 3, 3, 4, 2, 1, 2, 4, 2, 2, 2, 3, 0, 4, 4, 1, 1, 0, 1, 1, 2, 2, 0, 3, 0, 1, 1, 2, 1, 4, 3, 3, 3, 0, 0, 1, 1, 1, 4, 2, 0, 0, 3, 2, 1, 0, 4, 2, 2, 4, 4, 2, 2, 4, 4, 0, 2, 4, 1, 2, 3, 3, 1, 4, 1, 1, 0, 1, 3, 3, 3, 3, 1, 4, 4, 3, 2, 4, 2, 2, 3, 1, 0, 4, 3, 3, 4, 1, 2, 4, 0, 4, 3, 3, 2, 2, 4, 3, 1, 4, 0, 2, 3, 2, 3, 4, 2, 1, 2, 4, 3, 2, 4, 2, 4, 3, 0, 2, 1, 1, 3, 1, 0, 2, 4, 4, 4, 4, 3, 4, 0, 2, 3, 4, 2, 0, 2, 3, 0, 1, 4, 2, 2, 1, 2, 4, 1, 0, 1, 1, 4, 4, 0, 0, 1, 1, 0, 4, 0, 1, 0, 1, 1, 3, 2, 4, 4, 4, 0, 4, 3, 1, 4, 0, 0, 1, 0, 2, 3, 1, 2, 0, 2, 1, 0, 2, 4, 3, 3, 4, 1, 0, 3, 4, 0, 1, 0, 1, 2, 1, 0, 4, 4, 4, 1, 3, 2, 3, 1, 1, 4, 3, 0, 3, 3, 4, 0, 1, 0, 1, 2, 2, 0, 3, 1, 0, 0, 4, 2, 3, 1, 0, 0, 4, 4, 1, 3, 4, 1, 1, 4, 3, 2, 3, 3, 2, 1, 0, 0, 0, 0, 1, 0, 3]
pubkeycol725 = [0, 1, 3, 4, 4, 4, 3, 2, 4, 0, 1, 0, 2, 1, 1, 1, 3, 1, 2, 3, 3, 2, 2, 2, 4, 0, 2, 4, 4, 3, 4, 2, 0, 3, 4, 0, 1, 0, 2, 0, 3, 1, 3, 1, 0, 2, 4, 0, 0, 2, 0, 4, 0, 3, 2, 1, 4, 2, 3, 4, 3, 3, 0, 1, 3, 0, 0, 3, 1, 2, 1, 1, 3, 1, 4, 0, 4, 2, 2, 1, 2, 3, 0, 2, 0, 3, 0, 0, 1, 4, 0, 3, 0, 0, 4, 4, 1, 4, 0, 3, 2, 2, 1, 2, 0, 0, 4, 4, 2, 3, 0, 1, 4, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 1, 0, 4, 0, 1, 0, 3, 4, 3, 3, 0, 1, 4, 3, 0, 1, 0, 4, 1, 2, 0, 3, 0, 3, 0, 3, 4, 0, 0, 4, 1, 0, 3, 2, 0, 0, 4, 3, 4, 0, 4, 1, 1, 2, 0, 2, 4, 2, 1, 0, 2, 3, 4, 1, 1, 1, 2, 3, 0, 3, 0, 1, 3, 3, 0, 1, 1, 1, 0, 4, 1, 0, 2, 3, 1, 1, 0, 2, 1, 2, 0, 4, 4, 3, 2, 0, 1, 0, 2, 2, 2, 2, 3, 2, 4, 1, 0, 0, 1, 3, 2, 1, 1, 4, 1, 4, 4, 2, 4, 2, 0, 4, 0, 1, 2, 4, 3, 3, 0, 1, 3, 3, 4, 0, 2, 3, 0, 3, 1, 4, 4, 4, 4, 3, 0, 4, 2, 0, 3, 1, 0, 3, 2, 1, 4, 3, 3, 4, 1, 4, 0, 2, 3, 2, 2, 4, 1, 2, 0, 2, 0, 3, 0, 1, 0, 3, 4, 4, 4, 3, 3, 2, 4, 2, 3, 1, 0, 3, 1, 4, 3, 4, 0, 4, 4, 2, 1, 1, 1, 0, 3, 0, 1, 4, 2, 3, 1, 0, 1, 2, 3, 4, 1, 4, 4, 3, 4, 0, 4, 2, 4, 4, 3, 2, 4, 0, 1, 0, 2, 4, 4, 3, 2, 4, 3, 0, 1, 3, 0, 2, 3, 4, 1, 1, 3, 1, 3, 0, 4, 0, 2, 4, 1, 1, 2, 4, 1, 2, 2, 4, 2, 4, 4, 4, 4, 0, 3, 2, 0, 3, 1, 3, 1, 4, 2, 3, 3, 1, 0, 2, 1, 4, 4, 0, 0, 1, 0]
pubkeycol726 = [3, 4, 3, 1, 0, 0, 3, 1, 0, 3, 4, 4, 3, 3, 3, 3, 2, 1, 4, 2, 0, 3, 3, 4, 4, 3, 0, 3, 3, 3, 4, 1, 0, 4, 3, 1, 1, 0, 1, 0, 2, 0, 2, 2, 4, 0, 4, 0, 1, 0, 2, 1, 4, 3, 4, 2, 1, 1, 1, 4, 0, 3, 0, 1, 4, 4, 1, 0, 0, 0, 3, 2, 4, 0, 3, 0, 0, 2, 2, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 4, 0, 4, 1, 0, 3, 4, 0, 1, 0, 3, 0, 1, 4, 4, 4, 2, 2, 3, 4, 3, 1, 2, 1, 4, 2, 0, 0, 2, 0, 2, 1, 4, 4, 3, 0, 2, 4, 1, 0, 2, 4, 2, 0, 4, 0, 4, 2, 3, 2, 4, 0, 2, 3, 0, 4, 1, 1, 0, 1, 4, 3, 0, 2, 3, 0, 2, 0, 1, 1, 4, 2, 0, 0, 4, 1, 1, 2, 4, 1, 1, 1, 1, 2, 1, 0, 4, 1, 4, 0, 0, 1, 3, 0, 2, 2, 4, 2, 4, 1, 2, 2, 1, 3, 1, 1, 0, 3, 3, 4, 0, 4, 3, 4, 1, 1, 0, 2, 1, 4, 3, 1, 2, 2, 0, 0, 0, 4, 4, 2, 0, 1, 4, 1, 3, 0, 3, 2, 0, 1, 1, 0, 4, 2, 0, 0, 3, 4, 0, 1, 3, 1, 0, 0, 3, 1, 4, 0, 0, 0, 2, 3, 1, 1, 1, 1, 0, 0, 4, 3, 2, 2, 0, 3, 0, 3, 3, 1, 0, 4, 1, 4, 2, 1, 0, 4, 2, 4, 3, 3, 2, 1, 0, 4, 0, 3, 2, 2, 3, 1, 4, 1, 0, 2, 1, 2, 1, 1, 2, 4, 2, 4, 4, 3, 0, 4, 4, 3, 3, 0, 1, 1, 3, 3, 0, 2, 4, 4, 4, 2, 0, 0, 3, 2, 1, 4, 4, 2, 4, 1, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 4, 2, 3, 0, 0, 4, 0, 3, 3, 1, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 2, 0, 0, 4, 1, 1, 0, 3, 3, 3, 4, 0, 0, 4, 4, 2, 3, 2, 3, 4, 3, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 0, 0, 1, 2, 3, 1, 4, 2]
pubkeycol727 = [0, 3, 0, 2, 1, 0, 4, 2, 0, 1, 4, 4, 0, 0, 1, 3, 2, 1, 2, 3, 1, 2, 0, 1, 4, 1, 1, 2, 4, 4, 0, 4, 4, 4, 3, 2, 4, 0, 2, 1, 4, 0, 4, 4, 1, 3, 2, 3, 0, 2, 2, 3, 0, 2, 2, 1, 2, 3, 4, 2, 0, 1, 4, 1, 4, 1, 0, 0, 2, 1, 3, 0, 4, 0, 0, 3, 0, 4, 4, 1, 4, 1, 3, 0, 2, 3, 4, 2, 0, 1, 2, 2, 4, 1, 1, 2, 4, 2, 4, 0, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 1, 3, 0, 2, 0, 2, 2, 3, 0, 4, 3, 0, 3, 2, 2, 0, 1, 2, 1, 0, 3, 3, 1, 1, 3, 2, 4, 4, 4, 4, 0, 1, 2, 2, 1, 1, 3, 2, 2, 4, 3, 2, 1, 4, 1, 4, 0, 0, 3, 0, 2, 4, 0, 2, 2, 4, 2, 0, 3, 4, 3, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 3, 3, 4, 2, 0, 1, 0, 4, 2, 2, 3, 3, 0, 2, 2, 3, 4, 0, 2, 0, 1, 1, 0, 0, 4, 4, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 3, 0, 4, 0, 2, 3, 4, 2, 2, 4, 0, 0, 1, 2, 0, 3, 1, 4, 4, 0, 4, 2, 1, 4, 4, 3, 0, 3, 4, 3, 4, 0, 4, 4, 1, 2, 4, 2, 0, 3, 0, 0, 4, 2, 0, 1, 3, 0, 2, 4, 4, 3, 4, 2, 1, 4, 2, 2, 2, 2, 4, 3, 0, 1, 0, 2, 1, 3, 2, 3, 0, 1, 2, 3, 1, 3, 4, 2, 1, 0, 0, 3, 3, 2, 4, 2, 1, 4, 3, 0, 2, 0, 3, 0, 2, 1, 0, 1, 1, 4, 2, 0, 4, 4, 1, 3, 2, 2, 1, 3, 3, 4, 2, 2, 3, 2, 1, 2, 4, 0, 2, 3, 0, 3, 3, 4, 3, 0, 2, 4, 2, 0, 3, 2, 4, 2, 1, 3, 1, 0, 4, 3, 1, 0, 4, 0, 0, 0, 4, 1, 3, 3, 0, 3, 3, 0, 0, 3, 3, 2, 2, 3, 4, 1, 0, 0, 4, 1, 3, 0, 0, 0, 0, 2, 1, 4, 3, 0, 3, 3, 2]
pubkeycol728 = [1, 3, 4, 2, 0, 3, 1, 2, 2, 3, 1, 3, 0, 1, 4, 2, 1, 3, 4, 4, 2, 0, 3, 0, 0, 1, 0, 4, 0, 2, 1, 3, 2, 0, 3, 4, 4, 4, 4, 0, 2, 2, 4, 4, 1, 4, 3, 1, 2, 3, 4, 3, 2, 2, 3, 1, 4, 1, 0, 0, 4, 0, 1, 3, 1, 4, 4, 2, 1, 3, 4, 1, 0, 0, 2, 0, 1, 4, 0, 3, 0, 1, 0, 3, 0, 1, 3, 3, 2, 2, 4, 2, 1, 1, 2, 0, 0, 2, 4, 4, 4, 4, 0, 1, 0, 1, 1, 1, 0, 0, 4, 1, 0, 3, 1, 4, 3, 0, 4, 2, 0, 4, 1, 2, 2, 0, 4, 0, 1, 1, 2, 4, 2, 1, 2, 3, 1, 4, 0, 2, 3, 4, 1, 2, 4, 2, 4, 4, 3, 3, 0, 2, 3, 4, 2, 1, 0, 4, 3, 1, 3, 2, 3, 4, 3, 4, 4, 2, 4, 2, 4, 4, 4, 1, 2, 1, 4, 4, 0, 3, 1, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 2, 0, 4, 3, 3, 2, 0, 1, 0, 1, 0, 3, 0, 2, 2, 0, 4, 4, 0, 1, 1, 3, 0, 2, 1, 1, 2, 4, 1, 1, 2, 1, 2, 2, 3, 0, 1, 3, 1, 3, 1, 0, 1, 0, 1, 0, 3, 2, 1, 4, 0, 0, 4, 1, 4, 2, 3, 3, 3, 2, 1, 3, 2, 0, 1, 3, 2, 1, 3, 4, 4, 1, 2, 0, 1, 1, 4, 3, 2, 4, 0, 3, 3, 3, 0, 4, 2, 3, 1, 0, 3, 4, 2, 3, 1, 2, 2, 4, 1, 4, 2, 1, 3, 1, 0, 1, 0, 0, 3, 2, 0, 0, 2, 1, 4, 4, 1, 0, 3, 3, 2, 3, 4, 1, 3, 1, 3, 2, 1, 1, 1, 0, 0, 3, 2, 0, 4, 3, 2, 4, 0, 2, 3, 2, 2, 3, 4, 2, 1, 1, 2, 4, 2, 4, 0, 1, 1, 4, 2, 2, 1, 4, 0, 3, 1, 0, 4, 0, 3, 2, 0, 1, 0, 3, 4, 2, 0, 3, 1, 2, 3, 0, 1, 3, 4, 4, 3, 1, 2, 3, 2, 3, 0, 2, 1, 0, 1, 4, 1, 2, 4, 0, 1, 0, 2, 1, 3, 3, 3]
pubkeycol729 = [0, 3, 2, 0, 1, 4, 3, 1, 0, 4, 4, 3, 0, 3, 0, 3, 2, 3, 1, 2, 4, 1, 1, 0, 1, 4, 2, 2, 2, 2, 4, 1, 0, 4, 2, 0, 2, 0, 0, 1, 0, 1, 4, 0, 1, 1, 2, 3, 2, 2, 3, 1, 3, 4, 0, 2, 0, 3, 0, 2, 3, 0, 4, 3, 4, 3, 2, 0, 3, 0, 0, 2, 3, 2, 4, 4, 2, 2, 2, 3, 0, 0, 1, 1, 4, 4, 1, 4, 1, 4, 0, 1, 3, 0, 0, 1, 3, 4, 0, 4, 4, 2, 4, 1, 2, 4, 2, 2, 4, 0, 2, 0, 1, 1, 3, 2, 0, 4, 2, 1, 3, 0, 0, 0, 2, 2, 0, 2, 1, 3, 2, 4, 1, 2, 1, 4, 3, 0, 0, 1, 1, 1, 0, 3, 3, 2, 1, 0, 2, 3, 0, 0, 2, 2, 2, 3, 1, 2, 3, 3, 4, 2, 0, 4, 3, 2, 3, 0, 4, 0, 2, 3, 3, 0, 4, 1, 1, 1, 3, 0, 2, 3, 3, 4, 0, 0, 4, 0, 2, 1, 4, 2, 3, 1, 0, 1, 2, 2, 0, 4, 3, 2, 4, 1, 2, 3, 0, 4, 3, 2, 0, 4, 1, 0, 4, 3, 2, 1, 3, 1, 0, 0, 1, 3, 4, 4, 4, 4, 1, 3, 2, 0, 4, 3, 1, 1, 2, 1, 0, 0, 0, 0, 3, 0, 1, 3, 2, 4, 3, 4, 2, 2, 3, 2, 2, 4, 4, 2, 3, 3, 4, 1, 0, 1, 2, 1, 4, 1, 0, 3, 4, 1, 1, 2, 0, 3, 2, 3, 2, 2, 1, 0, 1, 2, 2, 3, 4, 0, 0, 0, 2, 4, 4, 4, 1, 2, 3, 0, 1, 4, 0, 2, 1, 4, 1, 4, 1, 2, 2, 1, 3, 0, 4, 4, 3, 2, 0, 0, 1, 0, 3, 1, 2, 0, 0, 2, 2, 4, 3, 4, 3, 2, 4, 4, 2, 3, 2, 4, 4, 2, 2, 0, 1, 4, 2, 2, 4, 3, 1, 0, 0, 0, 3, 1, 3, 1, 3, 4, 1, 4, 2, 3, 3, 2, 1, 0, 0, 0, 1, 0, 1, 4, 2, 4, 0, 4, 4, 4, 1, 0, 1, 3, 3, 2, 3, 1, 0, 0, 3, 3, 0, 0, 3, 0, 2, 4, 4, 1, 1, 0]
pubkeycol730 = [3, 1, 4, 4, 0, 4, 4, 0, 2, 0, 3, 3, 2, 0, 0, 1, 1, 3, 3, 0, 4, 1, 3, 0, 4, 4, 2, 3, 2, 2, 4, 2, 1, 4, 1, 3, 0, 4, 1, 3, 4, 0, 3, 4, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 2, 2, 3, 3, 0, 2, 2, 3, 1, 2, 2, 3, 0, 2, 2, 0, 3, 1, 1, 0, 3, 0, 4, 3, 4, 3, 3, 0, 2, 3, 0, 1, 3, 0, 3, 3, 4, 4, 0, 4, 0, 2, 0, 3, 1, 1, 4, 3, 1, 3, 2, 4, 1, 3, 1, 4, 1, 4, 1, 3, 4, 3, 2, 2, 2, 3, 4, 4, 2, 0, 3, 1, 3, 3, 3, 4, 3, 2, 4, 3, 0, 4, 3, 1, 3, 3, 4, 4, 3, 2, 0, 4, 1, 3, 4, 3, 0, 1, 1, 4, 4, 2, 3, 1, 4, 1, 2, 3, 3, 2, 1, 2, 1, 2, 0, 1, 1, 3, 0, 0, 3, 3, 0, 1, 2, 4, 2, 3, 4, 1, 3, 3, 0, 3, 3, 1, 0, 2, 4, 1, 2, 3, 0, 3, 1, 3, 4, 0, 2, 4, 0, 3, 1, 0, 4, 3, 1, 4, 3, 3, 1, 0, 1, 3, 1, 3, 1, 1, 3, 4, 1, 0, 3, 4, 3, 0, 1, 1, 1, 0, 4, 3, 2, 2, 4, 3, 1, 0, 4, 0, 0, 2, 4, 0, 1, 0, 2, 0, 4, 2, 0, 4, 3, 2, 0, 3, 1, 2, 4, 4, 0, 1, 4, 1, 4, 4, 2, 3, 3, 0, 4, 1, 1, 0, 2, 0, 4, 3, 1, 3, 0, 0, 4, 0, 0, 2, 3, 2, 2, 1, 0, 1, 3, 2, 3, 1, 4, 0, 4, 3, 2, 3, 4, 1, 0, 3, 2, 1, 4, 2, 4, 0, 3, 0, 0, 0, 1, 3, 1, 3, 2, 4, 2, 1, 2, 2, 3, 0, 2, 1, 1, 4, 1, 2, 2, 0, 1, 3, 3, 3, 3, 4, 1, 4, 3, 1, 3, 3, 1, 2, 0, 0, 3, 4, 4, 0, 3, 4, 3, 3, 1, 3, 4, 3, 2, 1, 1, 4, 3, 4, 4, 4, 3, 0, 1, 0, 4, 4, 3, 2, 1, 2, 4, 1, 2, 2, 1, 0, 0, 2, 0, 2, 4]
pubkeycol731 = [3, 1, 0, 3, 3, 4, 4, 2, 4, 0, 1, 4, 0, 2, 0, 4, 2, 2, 0, 3, 2, 4, 3, 4, 2, 0, 4, 2, 1, 0, 4, 2, 1, 3, 4, 0, 2, 1, 4, 4, 4, 4, 0, 3, 2, 0, 2, 2, 2, 3, 0, 2, 4, 3, 4, 0, 1, 4, 3, 0, 3, 1, 0, 4, 0, 3, 0, 2, 4, 1, 3, 2, 1, 4, 4, 4, 1, 0, 0, 4, 0, 2, 2, 4, 2, 0, 3, 1, 4, 0, 2, 0, 2, 0, 2, 3, 0, 4, 0, 4, 4, 1, 0, 0, 4, 4, 2, 3, 4, 4, 2, 4, 1, 4, 0, 3, 3, 0, 2, 1, 3, 2, 0, 0, 0, 2, 2, 2, 4, 2, 0, 4, 1, 1, 3, 4, 4, 1, 0, 3, 1, 1, 0, 4, 2, 4, 0, 4, 2, 0, 2, 1, 1, 2, 3, 4, 0, 3, 4, 2, 3, 3, 4, 2, 2, 0, 4, 2, 4, 2, 4, 1, 4, 0, 3, 1, 3, 3, 0, 3, 2, 1, 2, 0, 3, 2, 3, 3, 2, 1, 0, 2, 3, 0, 2, 0, 0, 0, 3, 1, 3, 0, 4, 1, 0, 0, 0, 4, 3, 4, 4, 2, 4, 1, 3, 1, 1, 1, 4, 4, 1, 4, 0, 0, 2, 3, 0, 4, 0, 4, 2, 0, 2, 0, 1, 4, 3, 3, 1, 0, 2, 4, 3, 3, 4, 2, 1, 2, 2, 2, 4, 0, 4, 4, 3, 0, 2, 0, 4, 0, 2, 3, 1, 2, 2, 0, 4, 2, 0, 2, 4, 0, 1, 3, 2, 2, 2, 2, 2, 0, 3, 4, 2, 4, 4, 1, 3, 0, 2, 4, 0, 1, 0, 3, 4, 4, 2, 0, 2, 3, 3, 3, 4, 2, 4, 1, 0, 0, 4, 3, 1, 3, 1, 3, 1, 0, 0, 4, 2, 4, 2, 3, 1, 3, 2, 2, 4, 1, 4, 1, 2, 1, 1, 0, 3, 1, 2, 4, 2, 3, 1, 2, 3, 1, 0, 3, 4, 3, 4, 1, 0, 4, 3, 0, 3, 3, 3, 2, 2, 1, 3, 3, 3, 3, 3, 4, 1, 2, 2, 3, 4, 2, 4, 2, 3, 2, 1, 0, 4, 0, 2, 1, 1, 1, 0, 2, 4, 2, 1, 0, 2, 2, 0, 2, 4, 1, 3, 3, 1, 4]
pubkeycol732 = [2, 0, 3, 2, 0, 4, 4, 4, 2, 3, 0, 0, 2, 0, 3, 0, 0, 3, 4, 1, 0, 2, 3, 0, 4, 1, 4, 3, 2, 1, 0, 1, 0, 0, 4, 4, 3, 3, 0, 1, 4, 0, 3, 4, 3, 3, 4, 1, 3, 0, 2, 1, 1, 2, 2, 1, 3, 2, 3, 4, 0, 1, 0, 3, 4, 3, 2, 1, 0, 0, 3, 1, 0, 2, 0, 2, 3, 4, 3, 3, 0, 0, 3, 0, 1, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 0, 3, 0, 0, 0, 4, 2, 3, 4, 4, 2, 1, 4, 4, 0, 0, 1, 2, 3, 2, 1, 2, 2, 1, 0, 2, 1, 4, 0, 2, 4, 2, 0, 1, 0, 2, 2, 3, 2, 3, 4, 1, 2, 4, 4, 4, 1, 1, 3, 4, 2, 3, 4, 3, 0, 3, 4, 4, 3, 2, 0, 2, 1, 3, 3, 3, 4, 1, 0, 2, 2, 2, 1, 1, 4, 3, 0, 0, 3, 0, 0, 4, 1, 0, 4, 3, 0, 2, 4, 4, 4, 3, 0, 3, 0, 4, 4, 4, 2, 4, 3, 3, 1, 3, 0, 1, 4, 4, 3, 4, 4, 0, 2, 3, 4, 0, 3, 2, 0, 2, 3, 0, 0, 4, 1, 4, 2, 3, 3, 3, 0, 1, 1, 0, 1, 2, 0, 0, 3, 2, 2, 1, 3, 4, 2, 3, 2, 4, 2, 4, 3, 3, 2, 1, 1, 0, 1, 0, 3, 3, 2, 2, 2, 3, 1, 3, 2, 1, 3, 3, 2, 1, 2, 0, 0, 1, 0, 0, 3, 4, 2, 4, 0, 0, 1, 4, 1, 0, 0, 3, 3, 3, 0, 0, 4, 2, 2, 0, 2, 1, 0, 3, 2, 2, 2, 1, 4, 3, 3, 1, 1, 1, 4, 2, 3, 2, 2, 2, 4, 4, 3, 4, 2, 4, 4, 4, 4, 3, 2, 0, 0, 0, 4, 2, 3, 0, 4, 3, 0, 3, 2, 1, 0, 3, 2, 1, 3, 2, 4, 2, 3, 3, 1, 1, 1, 3, 4, 4, 1, 3, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 3, 0, 3, 1, 1, 2, 2, 0, 0, 4, 2, 2, 1, 4, 1, 0, 4, 4, 0, 4, 2, 2, 4, 4, 1, 1, 0, 4, 0, 3, 2, 2, 4, 2, 1]
pubkeycol733 = [3, 4, 1, 4, 0, 1, 4, 1, 3, 2, 4, 2, 2, 3, 3, 0, 0, 4, 0, 0, 1, 2, 3, 3, 4, 4, 2, 3, 1, 3, 2, 4, 4, 1, 3, 0, 1, 3, 1, 4, 3, 3, 2, 0, 2, 2, 0, 3, 2, 3, 4, 4, 3, 3, 1, 4, 0, 4, 0, 3, 2, 4, 1, 4, 0, 2, 0, 4, 0, 4, 4, 1, 4, 3, 2, 0, 1, 0, 1, 1, 4, 2, 2, 2, 1, 2, 1, 4, 0, 3, 2, 4, 4, 2, 4, 0, 2, 4, 3, 0, 4, 1, 4, 3, 0, 4, 2, 2, 2, 2, 2, 4, 2, 2, 1, 4, 3, 4, 3, 4, 3, 3, 3, 0, 3, 2, 4, 1, 4, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 0, 4, 4, 1, 3, 2, 4, 4, 3, 0, 1, 2, 4, 0, 0, 4, 2, 4, 0, 1, 0, 4, 0, 0, 1, 3, 1, 1, 0, 2, 3, 1, 2, 4, 3, 0, 0, 0, 3, 1, 1, 4, 1, 0, 4, 4, 4, 4, 0, 1, 3, 4, 4, 3, 3, 1, 3, 2, 3, 2, 0, 0, 2, 3, 4, 2, 4, 1, 0, 2, 3, 1, 4, 4, 0, 2, 2, 3, 2, 0, 0, 0, 1, 4, 3, 1, 3, 2, 2, 2, 2, 4, 1, 3, 0, 1, 4, 0, 4, 0, 3, 0, 3, 0, 1, 3, 4, 1, 4, 4, 2, 0, 0, 0, 4, 4, 3, 3, 2, 0, 0, 4, 2, 3, 3, 3, 3, 4, 2, 3, 4, 1, 3, 0, 3, 2, 0, 2, 0, 3, 1, 3, 4, 0, 0, 3, 0, 2, 2, 4, 3, 1, 4, 0, 1, 3, 3, 4, 4, 0, 2, 4, 2, 2, 2, 2, 2, 3, 0, 3, 1, 4, 2, 2, 4, 0, 3, 0, 3, 0, 0, 1, 1, 0, 0, 2, 1, 3, 3, 2, 0, 0, 3, 3, 2, 3, 2, 1, 4, 1, 3, 1, 2, 4, 3, 3, 3, 0, 1, 3, 3, 2, 1, 2, 3, 4, 4, 2, 3, 3, 2, 2, 0, 1, 3, 0, 1, 2, 0, 2, 1, 3, 2, 1, 0, 4, 0, 0, 0, 0, 3, 3, 3, 4, 4, 3, 2, 4, 2, 0, 2, 0, 2, 1, 4, 1]
pubkeycol734 = [2, 4, 1, 3, 2, 3, 2, 4, 0, 0, 2, 1, 0, 1, 1, 1, 3, 3, 4, 3, 2, 3, 4, 1, 0, 1, 4, 4, 3, 2, 0, 1, 1, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 2, 2, 1, 1, 2, 4, 3, 2, 0, 1, 3, 0, 2, 3, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 3, 1, 3, 3, 0, 1, 3, 2, 2, 0, 2, 1, 0, 2, 2, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 1, 1, 2, 2, 1, 4, 0, 0, 3, 0, 4, 2, 3, 2, 0, 0, 0, 3, 0, 1, 0, 0, 4, 0, 2, 4, 4, 1, 0, 1, 3, 0, 4, 4, 3, 1, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 0, 0, 4, 3, 0, 2, 1, 4, 0, 0, 1, 1, 4, 1, 4, 3, 0, 4, 0, 3, 2, 1, 1, 2, 4, 4, 2, 3, 0, 3, 4, 0, 0, 3, 0, 4, 3, 2, 0, 4, 1, 2, 3, 4, 2, 4, 2, 2, 1, 4, 3, 4, 0, 2, 3, 1, 3, 4, 0, 3, 0, 4, 2, 0, 3, 1, 1, 0, 1, 4, 2, 1, 0, 0, 3, 0, 0, 3, 1, 2, 3, 3, 0, 3, 1, 2, 2, 3, 0, 1, 1, 0, 0, 2, 0, 0, 4, 2, 1, 0, 2, 1, 4, 3, 2, 3, 1, 4, 2, 2, 1, 4, 4, 4, 3, 2, 2, 3, 3, 4, 0, 4, 3, 0, 0, 4, 0, 1, 4, 2, 4, 4, 1, 2, 4, 2, 3, 4, 0, 3, 0, 2, 0, 3, 3, 0, 2, 0, 0, 3, 3, 2, 1, 4, 0, 2, 3, 3, 1, 3, 4, 4, 3, 4, 0, 1, 1, 4, 4, 4, 2, 3, 3, 4, 2, 1, 4, 3, 1, 3, 2, 2, 0, 0, 4, 0, 4, 3, 4, 4, 1, 4, 1, 3, 4, 1, 0, 2, 0, 4, 0, 4, 1, 1, 1, 2, 4, 4, 0, 2, 0, 4, 4, 1, 0, 4, 2, 1, 3, 4, 3, 1, 3, 4, 1, 1, 3, 3, 1, 4, 2, 2, 3, 1, 1, 2, 1, 4, 0, 4, 2, 0, 0, 0, 4, 4, 2, 4, 3, 2, 4, 4, 4, 4, 3, 4, 4, 4]
pubkeycol735 = [0, 1, 4, 2, 1, 4, 3, 3, 3, 0, 1, 1, 4, 2, 4, 2, 3, 2, 2, 1, 2, 2, 0, 1, 0, 3, 3, 4, 4, 2, 4, 2, 1, 2, 1, 1, 4, 0, 2, 0, 3, 4, 3, 3, 1, 3, 0, 1, 2, 4, 2, 0, 2, 0, 0, 3, 0, 0, 1, 0, 3, 2, 3, 1, 1, 0, 2, 1, 3, 1, 1, 2, 1, 3, 2, 2, 3, 3, 2, 3, 2, 3, 4, 3, 3, 0, 4, 0, 0, 0, 2, 3, 4, 1, 2, 0, 4, 3, 1, 4, 1, 2, 1, 3, 3, 4, 2, 4, 2, 1, 4, 0, 0, 3, 3, 0, 3, 2, 3, 2, 3, 0, 1, 2, 3, 1, 3, 0, 1, 3, 3, 1, 4, 3, 3, 3, 1, 3, 3, 0, 2, 4, 4, 3, 2, 4, 3, 4, 3, 1, 2, 3, 4, 2, 0, 4, 3, 4, 4, 0, 2, 2, 1, 4, 2, 3, 1, 1, 2, 3, 3, 3, 2, 0, 4, 4, 4, 2, 2, 0, 2, 3, 0, 3, 4, 1, 1, 2, 3, 1, 4, 1, 1, 2, 4, 3, 4, 0, 3, 4, 1, 1, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 4, 3, 2, 1, 2, 0, 1, 1, 2, 0, 4, 3, 1, 0, 1, 4, 3, 2, 2, 3, 4, 4, 4, 1, 4, 3, 2, 3, 4, 0, 4, 0, 3, 2, 1, 0, 3, 0, 1, 0, 0, 0, 2, 1, 0, 3, 4, 1, 0, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 1, 3, 3, 1, 4, 3, 2, 3, 2, 4, 2, 3, 1, 4, 4, 0, 4, 1, 2, 2, 2, 1, 3, 4, 2, 1, 2, 3, 2, 0, 1, 2, 0, 0, 3, 4, 0, 3, 2, 3, 3, 3, 0, 0, 0, 4, 0, 2, 0, 1, 4, 2, 1, 3, 2, 4, 3, 1, 2, 2, 0, 4, 1, 2, 3, 4, 4, 4, 4, 3, 2, 0, 1, 0, 0, 0, 3, 0, 3, 3, 4, 1, 3, 4, 4, 2, 4, 4, 4, 1, 2, 3, 2, 4, 4, 0, 1, 3, 4, 4, 4, 4, 3, 2, 4, 1, 2, 2, 0, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 0, 1, 0, 4, 0, 3, 1, 3, 2, 3]
pubkeycol736 = [4, 1, 1, 2, 3, 1, 4, 3, 2, 2, 0, 1, 3, 0, 0, 4, 2, 0, 3, 0, 1, 3, 4, 3, 1, 2, 0, 2, 2, 4, 1, 2, 4, 2, 2, 3, 2, 2, 0, 0, 4, 4, 4, 0, 2, 4, 0, 3, 1, 1, 4, 0, 2, 3, 0, 3, 0, 3, 4, 2, 3, 0, 1, 2, 2, 2, 3, 0, 2, 4, 2, 4, 1, 3, 2, 1, 4, 0, 1, 0, 2, 1, 0, 4, 0, 0, 3, 3, 0, 1, 2, 4, 1, 3, 1, 0, 0, 0, 2, 3, 0, 2, 1, 0, 0, 1, 2, 4, 1, 4, 2, 3, 2, 0, 2, 3, 4, 2, 4, 2, 0, 3, 0, 1, 1, 0, 1, 4, 4, 3, 4, 3, 1, 1, 1, 1, 4, 0, 2, 0, 4, 3, 4, 4, 0, 1, 0, 4, 1, 0, 1, 3, 1, 4, 1, 3, 0, 0, 3, 4, 4, 3, 0, 3, 0, 0, 0, 1, 1, 1, 2, 2, 0, 4, 1, 0, 2, 3, 2, 2, 3, 4, 4, 4, 1, 0, 0, 4, 0, 1, 3, 4, 0, 3, 3, 2, 1, 4, 4, 3, 4, 0, 4, 0, 1, 0, 4, 2, 4, 4, 2, 2, 4, 4, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 3, 2, 2, 3, 4, 0, 4, 3, 4, 1, 3, 3, 1, 2, 3, 1, 3, 4, 4, 0, 0, 0, 3, 2, 4, 3, 4, 0, 2, 1, 1, 0, 4, 1, 1, 3, 0, 1, 1, 2, 0, 4, 0, 4, 2, 3, 0, 3, 2, 1, 4, 0, 3, 2, 0, 2, 0, 3, 3, 0, 3, 0, 2, 4, 4, 3, 0, 2, 4, 3, 2, 0, 0, 4, 1, 3, 3, 4, 1, 4, 2, 1, 2, 2, 3, 2, 4, 0, 2, 0, 4, 0, 3, 2, 2, 4, 0, 0, 1, 3, 3, 3, 4, 1, 3, 1, 4, 3, 1, 1, 3, 3, 1, 0, 3, 1, 1, 1, 1, 2, 0, 4, 2, 1, 0, 3, 1, 1, 4, 1, 0, 3, 0, 2, 0, 2, 0, 1, 4, 1, 3, 0, 0, 0, 0, 4, 1, 1, 4, 3, 2, 4, 4, 4, 0, 1, 0, 0, 0, 0, 1, 3, 1, 3, 0, 4, 4, 2, 2, 1, 0, 1, 1, 3, 4]
pubkeycol737 = [2, 3, 4, 1, 2, 2, 3, 3, 4, 2, 4, 3, 0, 2, 4, 4, 4, 3, 3, 0, 1, 3, 4, 1, 2, 0, 2, 3, 4, 1, 4, 2, 3, 0, 0, 1, 1, 0, 4, 3, 4, 1, 1, 4, 4, 2, 1, 3, 1, 4, 2, 4, 1, 4, 2, 4, 0, 4, 3, 2, 1, 1, 0, 3, 0, 3, 0, 1, 1, 0, 1, 2, 3, 0, 1, 1, 1, 3, 1, 3, 4, 1, 4, 3, 4, 1, 1, 2, 4, 0, 2, 1, 0, 2, 1, 3, 0, 1, 3, 1, 1, 0, 2, 2, 3, 0, 1, 1, 1, 1, 2, 2, 1, 0, 3, 1, 2, 3, 2, 0, 3, 1, 3, 2, 2, 4, 2, 4, 3, 3, 0, 3, 1, 1, 0, 0, 0, 3, 2, 1, 1, 2, 1, 4, 4, 1, 3, 2, 4, 3, 2, 4, 4, 4, 3, 0, 1, 1, 1, 4, 3, 0, 4, 0, 0, 4, 3, 2, 0, 1, 2, 2, 4, 0, 4, 2, 0, 3, 0, 3, 2, 3, 0, 2, 4, 3, 0, 3, 0, 2, 4, 4, 0, 1, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 4, 1, 4, 2, 1, 0, 4, 2, 2, 4, 4, 0, 3, 1, 0, 4, 0, 0, 4, 0, 3, 0, 3, 3, 0, 1, 4, 1, 2, 0, 2, 0, 1, 2, 3, 4, 0, 4, 3, 4, 4, 1, 3, 0, 1, 2, 4, 2, 1, 3, 0, 4, 4, 0, 3, 2, 2, 2, 0, 3, 1, 0, 4, 2, 0, 3, 1, 1, 4, 1, 0, 0, 0, 3, 0, 2, 4, 1, 2, 2, 1, 0, 1, 1, 0, 1, 4, 1, 1, 2, 1, 2, 3, 3, 2, 3, 3, 2, 4, 2, 0, 0, 3, 4, 4, 0, 2, 1, 0, 4, 4, 1, 2, 2, 3, 0, 0, 4, 0, 2, 4, 4, 3, 0, 4, 4, 2, 0, 0, 0, 3, 2, 4, 2, 2, 1, 4, 4, 2, 1, 3, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 2, 4, 2, 1, 3, 4, 2, 2, 4, 2, 3, 3, 1, 2, 2, 2, 4, 1, 4, 3, 2, 1, 2, 0, 4, 3, 1, 1, 1, 4, 3, 0, 4, 4, 3, 0, 0, 2, 4, 4, 0, 4, 4, 0, 0]
pubkeycol738 = [2, 3, 3, 2, 3, 1, 2, 4, 0, 0, 3, 1, 4, 3, 1, 1, 1, 0, 1, 3, 1, 4, 1, 1, 4, 4, 4, 3, 1, 3, 3, 0, 2, 0, 4, 1, 1, 4, 2, 3, 2, 0, 0, 2, 3, 1, 2, 2, 0, 2, 0, 0, 3, 4, 1, 2, 3, 1, 3, 2, 0, 4, 3, 3, 0, 2, 3, 1, 0, 3, 4, 0, 4, 2, 0, 0, 1, 2, 4, 4, 2, 0, 1, 3, 4, 0, 3, 4, 4, 1, 3, 2, 0, 3, 0, 0, 4, 4, 3, 0, 3, 1, 4, 4, 2, 4, 3, 0, 4, 3, 3, 0, 0, 2, 0, 2, 4, 2, 3, 4, 2, 3, 4, 1, 4, 2, 2, 3, 2, 1, 0, 4, 3, 4, 1, 1, 0, 1, 3, 4, 3, 2, 4, 3, 4, 4, 4, 3, 0, 2, 1, 0, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 1, 1, 3, 1, 2, 2, 3, 4, 1, 4, 3, 4, 1, 4, 3, 2, 1, 4, 0, 4, 1, 4, 0, 3, 0, 4, 3, 3, 2, 3, 2, 3, 3, 3, 0, 1, 3, 0, 2, 3, 3, 2, 0, 2, 3, 4, 2, 3, 0, 4, 2, 1, 4, 2, 2, 4, 0, 3, 0, 1, 0, 2, 1, 3, 3, 4, 1, 3, 4, 3, 2, 4, 2, 0, 1, 2, 1, 4, 0, 0, 0, 3, 1, 0, 1, 2, 3, 2, 4, 1, 2, 0, 1, 1, 3, 4, 0, 3, 4, 1, 1, 3, 3, 0, 3, 0, 4, 3, 1, 1, 1, 2, 4, 2, 4, 4, 3, 0, 0, 1, 2, 2, 1, 0, 3, 4, 2, 4, 3, 2, 3, 1, 1, 1, 4, 1, 1, 3, 1, 2, 2, 2, 3, 0, 4, 4, 3, 4, 2, 1, 0, 1, 4, 0, 3, 0, 1, 2, 2, 2, 3, 4, 3, 3, 0, 3, 3, 1, 1, 2, 0, 1, 3, 1, 0, 4, 4, 4, 4, 2, 2, 2, 0, 2, 0, 4, 3, 3, 0, 2, 2, 0, 0, 2, 1, 2, 4, 0, 0, 0, 4, 3, 0, 2, 0, 4, 2, 4, 1, 3, 4, 3, 3, 4, 4, 1, 3, 3, 0, 4, 4, 1, 0, 2, 1, 0, 2, 3, 4, 4, 1, 4, 2, 2]
pubkeycol739 = [2, 2, 0, 2, 1, 4, 1, 4, 2, 3, 3, 4, 1, 0, 0, 1, 2, 2, 4, 3, 0, 0, 0, 3, 2, 1, 1, 2, 4, 1, 2, 1, 4, 1, 3, 4, 4, 1, 3, 3, 1, 1, 3, 3, 3, 4, 4, 0, 0, 3, 4, 2, 1, 3, 1, 2, 0, 2, 3, 1, 4, 2, 3, 1, 3, 4, 4, 4, 4, 2, 1, 3, 1, 2, 0, 0, 2, 1, 2, 3, 0, 3, 2, 1, 4, 3, 4, 1, 4, 0, 2, 0, 0, 3, 4, 0, 1, 0, 0, 1, 4, 4, 4, 2, 2, 1, 1, 2, 3, 2, 1, 2, 3, 4, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 3, 4, 4, 4, 3, 4, 4, 4, 0, 2, 3, 1, 2, 2, 1, 2, 3, 4, 3, 2, 2, 3, 0, 1, 4, 4, 0, 1, 0, 2, 4, 1, 3, 2, 0, 1, 1, 4, 2, 1, 0, 1, 3, 3, 1, 2, 3, 4, 0, 4, 2, 3, 0, 0, 2, 2, 4, 2, 2, 3, 0, 2, 1, 1, 4, 2, 3, 2, 4, 1, 4, 3, 3, 0, 1, 1, 1, 1, 2, 4, 0, 3, 1, 2, 2, 0, 2, 2, 2, 2, 3, 0, 4, 2, 2, 0, 0, 4, 1, 4, 3, 2, 4, 3, 3, 2, 2, 1, 1, 2, 1, 1, 0, 3, 2, 0, 1, 0, 4, 0, 3, 3, 0, 4, 1, 1, 3, 2, 0, 4, 0, 4, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 4, 1, 3, 0, 3, 2, 2, 3, 3, 3, 2, 0, 1, 0, 2, 3, 1, 4, 0, 3, 0, 0, 2, 3, 0, 3, 4, 3, 1, 2, 1, 0, 0, 1, 4, 4, 3, 2, 3, 3, 4, 4, 0, 0, 0, 4, 3, 3, 1, 3, 1, 2, 2, 2, 0, 3, 3, 1, 1, 0, 0, 2, 3, 2, 2, 0, 0, 1, 1, 4, 0, 2, 0, 1, 3, 0, 3, 4, 4, 1, 1, 3, 4, 0, 0, 4, 1, 3, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 4, 1, 3, 0, 1, 3, 2, 3, 3, 4, 0, 1, 3, 0, 1, 0, 0, 0, 2, 1, 1, 0, 3, 1, 1, 3, 0, 2, 0, 1, 2, 4, 4]
pubkeycol740 = [3, 3, 4, 1, 4, 2, 2, 3, 0, 2, 3, 4, 1, 1, 3, 0, 3, 1, 4, 3, 3, 0, 2, 2, 1, 2, 2, 1, 3, 2, 3, 0, 2, 0, 0, 1, 3, 2, 2, 3, 4, 4, 3, 3, 4, 0, 4, 3, 3, 2, 3, 1, 0, 1, 2, 0, 3, 0, 0, 0, 4, 3, 0, 0, 3, 2, 4, 4, 3, 0, 4, 1, 1, 4, 4, 0, 3, 2, 3, 3, 0, 4, 0, 4, 1, 0, 3, 0, 1, 1, 0, 4, 0, 2, 1, 2, 4, 2, 0, 2, 2, 3, 2, 0, 4, 0, 2, 4, 3, 4, 4, 3, 1, 0, 3, 2, 2, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 2, 0, 4, 2, 0, 0, 3, 3, 2, 2, 0, 4, 0, 1, 1, 0, 0, 1, 3, 3, 3, 3, 3, 3, 2, 1, 3, 3, 4, 1, 4, 1, 4, 3, 1, 0, 0, 4, 4, 4, 2, 0, 3, 3, 0, 3, 4, 0, 1, 4, 1, 0, 4, 3, 1, 3, 3, 1, 2, 1, 0, 1, 2, 3, 4, 0, 3, 1, 1, 1, 3, 2, 3, 0, 4, 1, 1, 3, 0, 1, 2, 4, 2, 3, 0, 0, 2, 4, 4, 3, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 3, 2, 0, 0, 4, 3, 2, 3, 3, 0, 4, 3, 4, 1, 3, 0, 4, 2, 0, 0, 4, 4, 2, 4, 4, 0, 0, 1, 0, 3, 4, 2, 4, 3, 0, 3, 0, 2, 2, 4, 3, 0, 0, 3, 2, 3, 3, 1, 1, 4, 3, 1, 2, 1, 0, 3, 3, 1, 4, 3, 2, 2, 4, 3, 3, 4, 2, 1, 1, 1, 2, 0, 3, 1, 1, 4, 4, 0, 0, 0, 4, 2, 2, 4, 0, 4, 2, 0, 0, 3, 0, 3, 3, 1, 0, 4, 0, 4, 1, 0, 4, 1, 2, 2, 3, 0, 4, 3, 2, 2, 1, 1, 4, 4, 3, 2, 4, 4, 2, 1, 1, 0, 1, 4, 0, 2, 1, 1, 2, 4, 2, 4, 0, 2, 4, 0, 3, 3, 3, 2, 3, 4, 2, 0, 1, 0, 1, 3, 2, 3, 2, 1, 1, 0, 3, 0, 3, 0, 2, 0, 2, 0, 2, 4, 4, 4, 3, 4, 3, 3, 3, 0]
pubkeycol741 = [3, 2, 3, 1, 3, 1, 1, 2, 1, 3, 2, 0, 4, 2, 4, 1, 4, 2, 1, 1, 2, 2, 0, 3, 0, 2, 1, 3, 0, 3, 3, 3, 1, 4, 3, 2, 3, 2, 4, 3, 0, 1, 3, 1, 2, 2, 2, 1, 0, 4, 1, 1, 1, 1, 2, 1, 0, 1, 3, 3, 2, 2, 3, 0, 2, 0, 3, 4, 4, 2, 2, 0, 3, 1, 2, 4, 4, 4, 1, 0, 4, 3, 2, 1, 4, 0, 1, 3, 2, 2, 1, 3, 3, 1, 4, 1, 3, 4, 1, 1, 4, 4, 0, 3, 2, 4, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 3, 1, 4, 3, 0, 2, 0, 4, 2, 2, 2, 4, 3, 1, 4, 1, 2, 4, 3, 2, 0, 4, 3, 2, 2, 4, 1, 3, 1, 2, 2, 0, 4, 1, 4, 4, 4, 3, 3, 2, 1, 0, 0, 4, 3, 2, 4, 0, 3, 2, 2, 4, 3, 3, 1, 0, 0, 3, 1, 1, 4, 3, 1, 1, 0, 3, 2, 1, 4, 2, 1, 4, 3, 2, 4, 2, 2, 1, 1, 0, 0, 2, 3, 3, 4, 4, 1, 3, 4, 4, 0, 4, 3, 0, 1, 1, 1, 4, 4, 1, 0, 4, 4, 3, 2, 3, 4, 4, 1, 3, 1, 2, 1, 2, 0, 4, 4, 1, 0, 1, 0, 4, 4, 3, 3, 4, 3, 3, 1, 1, 3, 1, 4, 2, 0, 1, 1, 2, 4, 2, 1, 2, 2, 3, 0, 4, 4, 4, 1, 3, 0, 1, 2, 4, 1, 2, 4, 0, 2, 0, 0, 1, 0, 4, 3, 0, 1, 4, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 4, 0, 0, 2, 2, 3, 1, 2, 2, 0, 2, 0, 2, 1, 0, 3, 4, 2, 4, 1, 0, 4, 4, 0, 2, 2, 0, 3, 4, 0, 0, 4, 3, 2, 3, 1, 1, 3, 2, 3, 4, 4, 2, 0, 4, 3, 4, 1, 0, 4, 0, 1, 0, 3, 1, 0, 2, 0, 0, 3, 0, 0, 1, 0, 4, 2, 2, 0, 2, 4, 4, 3, 4, 1, 4, 3, 2, 0, 2, 2, 1, 4, 0, 1, 3, 2, 3, 0, 2, 2, 3, 2, 2, 4, 3, 0, 4, 3, 1, 4, 2, 2, 0, 0, 2, 2]
pubkeycol742 = [2, 4, 0, 3, 3, 4, 4, 0, 4, 1, 4, 4, 0, 3, 2, 1, 1, 1, 4, 0, 0, 0, 4, 3, 4, 0, 1, 1, 0, 1, 3, 3, 2, 4, 2, 1, 0, 2, 1, 3, 4, 4, 3, 1, 0, 2, 2, 3, 2, 0, 3, 0, 2, 0, 3, 1, 0, 1, 1, 2, 3, 3, 2, 0, 4, 4, 1, 1, 0, 2, 1, 1, 0, 4, 2, 1, 3, 3, 4, 2, 0, 2, 2, 0, 2, 2, 2, 3, 1, 3, 2, 0, 4, 4, 3, 0, 2, 1, 3, 2, 4, 4, 1, 2, 2, 3, 3, 0, 3, 4, 0, 2, 1, 3, 3, 2, 2, 0, 3, 3, 3, 2, 3, 1, 4, 4, 0, 2, 2, 2, 0, 1, 3, 4, 3, 0, 1, 3, 2, 0, 3, 4, 4, 2, 3, 0, 3, 2, 1, 4, 4, 2, 3, 2, 2, 4, 2, 1, 2, 2, 1, 2, 0, 3, 0, 4, 0, 4, 2, 0, 2, 4, 3, 3, 3, 1, 4, 1, 0, 1, 3, 0, 3, 3, 2, 1, 1, 3, 1, 4, 2, 0, 1, 3, 4, 1, 3, 4, 4, 4, 2, 0, 4, 3, 3, 1, 4, 1, 3, 1, 2, 2, 3, 1, 2, 4, 2, 1, 0, 0, 1, 0, 2, 4, 4, 1, 2, 3, 2, 1, 1, 4, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 3, 2, 0, 0, 1, 2, 1, 1, 4, 3, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 2, 2, 4, 2, 2, 4, 1, 0, 0, 2, 2, 4, 0, 4, 2, 4, 1, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 0, 4, 4, 3, 3, 3, 4, 1, 4, 3, 1, 2, 4, 2, 1, 2, 4, 0, 3, 4, 4, 1, 0, 0, 3, 1, 3, 2, 1, 3, 3, 2, 0, 3, 2, 0, 3, 2, 1, 2, 1, 2, 2, 1, 4, 1, 4, 4, 2, 1, 2, 4, 3, 1, 1, 0, 0, 0, 3, 1, 0, 2, 3, 4, 1, 0, 0, 4, 4, 3, 1, 3, 4, 1, 1, 3, 0, 3, 3, 0, 1, 4, 3, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 4, 0, 2, 4, 0, 3, 4, 4, 3, 1, 2, 3, 1, 1]
pubkeycol743 = [0, 0, 3, 2, 0, 1, 0, 0, 0, 2, 4, 2, 4, 1, 2, 1, 2, 0, 0, 4, 0, 1, 2, 1, 0, 0, 0, 3, 3, 3, 0, 0, 2, 2, 4, 3, 2, 1, 0, 0, 3, 1, 2, 1, 3, 0, 0, 2, 3, 3, 3, 4, 3, 1, 1, 4, 0, 1, 1, 4, 1, 0, 3, 2, 2, 2, 1, 3, 2, 3, 0, 4, 1, 4, 0, 1, 2, 3, 2, 1, 2, 1, 4, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 4, 2, 0, 3, 3, 4, 0, 2, 3, 3, 4, 4, 0, 3, 2, 0, 2, 1, 4, 2, 2, 4, 3, 2, 3, 3, 4, 3, 0, 3, 1, 4, 1, 4, 2, 2, 4, 1, 3, 1, 2, 4, 4, 2, 0, 1, 3, 1, 4, 0, 2, 2, 1, 3, 3, 0, 4, 3, 0, 4, 4, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 0, 4, 4, 0, 4, 4, 3, 4, 1, 3, 3, 0, 3, 1, 4, 1, 2, 0, 2, 1, 3, 0, 1, 1, 4, 0, 3, 1, 1, 2, 1, 2, 0, 0, 1, 4, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 2, 0, 2, 0, 3, 2, 0, 4, 1, 4, 3, 0, 4, 3, 3, 4, 4, 1, 4, 4, 3, 4, 3, 1, 0, 4, 2, 3, 3, 0, 3, 2, 4, 3, 4, 1, 2, 1, 0, 1, 4, 0, 3, 0, 0, 1, 1, 0, 0, 4, 3, 3, 1, 3, 3, 1, 4, 2, 4, 4, 1, 3, 1, 1, 2, 1, 4, 0, 2, 4, 1, 3, 1, 0, 2, 3, 1, 2, 0, 2, 1, 3, 4, 0, 3, 0, 0, 2, 1, 3, 4, 3, 0, 2, 2, 1, 3, 0, 1, 1, 1, 2, 1, 0, 3, 3, 4, 1, 3, 2, 0, 0, 4, 1, 0, 0, 0, 3, 3, 3, 1, 1, 3, 2, 3, 2, 3, 2, 0, 1, 0, 0, 4, 4, 0, 2, 4, 2, 2, 2, 3, 3, 0, 4, 1, 2, 0, 2, 3, 2, 0, 3, 2, 3, 0, 2, 3, 4, 2, 3, 4, 2, 1, 2, 2, 4, 4, 3, 2, 4, 2, 3, 4, 2, 2, 1, 1, 0, 1, 0, 4, 4, 3, 4, 2]
pubkeycol744 = [2, 3, 2, 3, 4, 4, 0, 1, 1, 3, 4, 2, 4, 4, 3, 1, 4, 2, 1, 0, 0, 4, 1, 1, 2, 0, 2, 1, 4, 3, 1, 1, 4, 4, 0, 1, 1, 1, 3, 4, 3, 4, 1, 4, 0, 4, 0, 3, 4, 3, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 4, 0, 4, 3, 1, 1, 1, 4, 3, 3, 2, 2, 1, 2, 4, 4, 1, 1, 4, 3, 2, 2, 4, 4, 0, 2, 1, 0, 3, 0, 1, 2, 3, 2, 3, 2, 4, 0, 3, 4, 3, 2, 0, 1, 3, 1, 2, 0, 1, 1, 2, 3, 2, 1, 2, 4, 0, 3, 2, 3, 3, 1, 4, 1, 3, 3, 2, 0, 4, 0, 4, 3, 1, 2, 1, 0, 1, 1, 4, 3, 2, 4, 0, 2, 4, 3, 1, 3, 1, 4, 3, 3, 2, 2, 4, 2, 0, 0, 4, 4, 2, 1, 1, 2, 0, 0, 1, 1, 3, 2, 2, 0, 1, 2, 2, 0, 2, 2, 4, 2, 2, 2, 4, 4, 1, 1, 2, 4, 4, 0, 4, 1, 2, 4, 3, 3, 4, 4, 4, 1, 1, 1, 4, 4, 4, 3, 4, 0, 2, 1, 3, 0, 2, 3, 2, 0, 0, 4, 1, 0, 3, 2, 4, 0, 0, 3, 1, 2, 1, 0, 4, 2, 0, 2, 3, 1, 2, 2, 3, 0, 0, 0, 4, 1, 1, 4, 3, 1, 4, 4, 4, 4, 4, 2, 3, 1, 4, 1, 2, 2, 2, 1, 3, 0, 1, 2, 4, 4, 2, 1, 3, 0, 2, 1, 1, 4, 4, 2, 1, 4, 3, 4, 0, 4, 2, 2, 4, 3, 1, 1, 3, 4, 2, 2, 0, 0, 0, 2, 1, 1, 3, 4, 0, 3, 3, 1, 1, 0, 4, 3, 4, 4, 2, 2, 1, 3, 2, 4, 0, 0, 0, 3, 2, 1, 0, 2, 1, 0, 2, 2, 4, 0, 4, 4, 4, 0, 3, 1, 0, 3, 3, 0, 0, 4, 0, 2, 3, 2, 0, 2, 1, 0, 0, 0, 3, 0, 2, 3, 0, 0, 3, 2, 2, 2, 0, 1, 0, 4, 0, 2, 4, 0, 4, 4, 0, 4, 4, 2, 1, 0, 4, 1, 3, 0, 3, 4, 0, 4, 0, 0, 0, 0, 4, 3, 2, 4, 4, 3, 1, 1]
pubkeycol745 = [2, 2, 1, 4, 4, 1, 3, 2, 4, 1, 0, 4, 3, 1, 2, 3, 2, 3, 3, 1, 2, 3, 3, 1, 2, 4, 4, 2, 1, 4, 2, 2, 2, 4, 0, 4, 2, 3, 2, 1, 1, 2, 4, 3, 2, 2, 0, 3, 3, 4, 1, 1, 2, 3, 0, 0, 4, 4, 2, 1, 4, 0, 4, 1, 2, 1, 4, 0, 2, 4, 4, 2, 1, 3, 4, 2, 4, 0, 0, 3, 3, 2, 3, 1, 0, 4, 0, 0, 4, 0, 3, 1, 1, 3, 2, 4, 0, 4, 1, 3, 0, 0, 2, 0, 0, 3, 3, 0, 1, 3, 2, 3, 2, 3, 0, 2, 2, 3, 1, 2, 1, 0, 2, 3, 2, 3, 4, 2, 2, 1, 3, 3, 1, 0, 3, 0, 3, 2, 4, 3, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 4, 1, 1, 3, 4, 4, 1, 3, 3, 1, 2, 0, 0, 2, 2, 1, 2, 4, 3, 3, 0, 3, 4, 0, 4, 3, 2, 4, 2, 3, 0, 4, 1, 0, 0, 3, 2, 0, 0, 3, 3, 3, 1, 3, 4, 2, 3, 1, 3, 4, 3, 2, 0, 3, 1, 3, 4, 4, 3, 2, 2, 2, 4, 1, 0, 3, 2, 4, 1, 2, 1, 1, 4, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 3, 3, 4, 0, 0, 1, 4, 4, 3, 0, 4, 1, 3, 1, 4, 2, 3, 3, 0, 0, 2, 0, 2, 3, 0, 2, 4, 1, 0, 3, 1, 4, 0, 3, 2, 1, 1, 3, 0, 1, 1, 4, 1, 0, 2, 3, 1, 2, 0, 0, 3, 3, 0, 4, 4, 2, 0, 2, 2, 0, 4, 0, 2, 3, 1, 3, 4, 1, 4, 0, 2, 1, 2, 3, 2, 0, 2, 3, 4, 2, 1, 4, 4, 3, 2, 0, 2, 4, 0, 4, 4, 2, 1, 0, 3, 2, 1, 0, 4, 1, 2, 3, 3, 3, 0, 2, 4, 2, 0, 1, 1, 3, 4, 4, 4, 4, 0, 1, 1, 4, 1, 2, 2, 4, 2, 4, 1, 2, 2, 2, 3, 2, 4, 3, 2, 4, 4, 4, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 0, 1, 2, 0, 0, 1, 3, 0, 2, 1]
pubkeycol746 = [3, 4, 0, 1, 3, 4, 1, 3, 0, 3, 2, 0, 2, 2, 0, 0, 0, 4, 0, 1, 0, 1, 3, 4, 3, 3, 0, 4, 1, 1, 0, 3, 0, 4, 1, 0, 1, 0, 3, 4, 1, 3, 4, 1, 0, 3, 1, 4, 4, 4, 0, 4, 4, 4, 2, 0, 3, 2, 0, 0, 1, 0, 4, 0, 4, 0, 2, 2, 0, 1, 0, 1, 1, 3, 2, 3, 2, 3, 0, 0, 4, 0, 4, 1, 3, 3, 0, 3, 0, 3, 2, 2, 0, 0, 3, 4, 3, 3, 4, 1, 2, 4, 4, 2, 3, 1, 3, 2, 0, 2, 2, 3, 1, 0, 0, 3, 0, 3, 4, 4, 4, 0, 4, 2, 4, 2, 3, 3, 2, 1, 2, 4, 0, 2, 2, 2, 4, 0, 3, 1, 0, 0, 2, 3, 1, 4, 0, 4, 2, 3, 0, 0, 2, 3, 2, 2, 2, 4, 2, 0, 0, 2, 0, 0, 2, 3, 0, 3, 1, 4, 3, 3, 1, 4, 1, 1, 4, 0, 4, 3, 4, 0, 4, 2, 1, 1, 0, 4, 2, 4, 1, 0, 3, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 3, 2, 0, 2, 0, 4, 0, 4, 3, 4, 2, 2, 1, 3, 3, 2, 3, 1, 4, 3, 2, 0, 1, 3, 1, 2, 3, 2, 4, 1, 3, 3, 4, 1, 0, 1, 2, 0, 4, 4, 1, 1, 1, 0, 0, 3, 4, 4, 4, 2, 1, 0, 2, 3, 0, 2, 2, 3, 2, 2, 4, 4, 4, 3, 3, 2, 0, 0, 2, 2, 4, 1, 2, 4, 2, 0, 1, 1, 0, 1, 1, 2, 3, 3, 2, 4, 1, 3, 3, 2, 2, 1, 4, 1, 3, 3, 0, 0, 2, 1, 1, 3, 0, 4, 1, 2, 2, 0, 4, 4, 4, 1, 2, 4, 2, 0, 4, 4, 0, 3, 4, 3, 1, 4, 3, 3, 1, 1, 1, 0, 0, 0, 3, 1, 1, 4, 3, 1, 1, 3, 0, 3, 3, 0, 1, 3, 4, 2, 2, 4, 2, 0, 0, 4, 0, 4, 0, 4, 0, 3, 2, 2, 4, 3, 0, 1, 4, 3, 0, 1, 2, 0, 0, 4, 0, 3, 1, 4, 3, 1, 0, 1, 1, 0]
pubkeycol747 = [0, 0, 4, 0, 4, 3, 0, 3, 1, 2, 2, 2, 1, 4, 0, 2, 4, 3, 0, 4, 1, 0, 1, 1, 2, 4, 1, 3, 2, 2, 3, 3, 2, 3, 2, 1, 3, 3, 4, 1, 3, 4, 3, 2, 2, 4, 0, 0, 1, 2, 4, 4, 3, 0, 2, 1, 2, 1, 2, 0, 4, 0, 3, 0, 1, 1, 1, 2, 0, 3, 1, 1, 0, 2, 2, 4, 2, 4, 4, 2, 1, 0, 2, 1, 4, 3, 0, 4, 2, 4, 4, 1, 0, 4, 2, 2, 0, 0, 4, 2, 3, 1, 3, 2, 2, 3, 4, 4, 1, 3, 3, 2, 0, 0, 0, 0, 3, 1, 1, 3, 2, 2, 0, 2, 2, 3, 1, 1, 3, 3, 4, 2, 4, 2, 2, 4, 2, 0, 2, 3, 4, 1, 1, 2, 2, 3, 2, 0, 2, 0, 1, 0, 0, 1, 0, 4, 3, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 4, 3, 0, 2, 0, 1, 1, 2, 0, 4, 1, 1, 1, 1, 3, 4, 0, 4, 0, 0, 1, 1, 3, 3, 1, 2, 0, 1, 1, 4, 4, 1, 2, 3, 2, 0, 1, 1, 3, 2, 4, 4, 4, 2, 4, 1, 1, 3, 4, 1, 0, 4, 4, 1, 2, 3, 4, 0, 1, 3, 0, 2, 0, 2, 0, 1, 3, 1, 2, 3, 2, 2, 4, 0, 2, 3, 0, 0, 4, 0, 2, 1, 0, 0, 4, 0, 3, 2, 2, 0, 1, 4, 2, 1, 0, 2, 3, 2, 2, 4, 1, 2, 4, 4, 3, 2, 3, 2, 2, 0, 2, 4, 2, 4, 0, 3, 1, 2, 2, 3, 4, 2, 4, 1, 2, 1, 4, 4, 0, 3, 4, 2, 3, 2, 1, 1, 0, 0, 2, 1, 1, 3, 3, 4, 2, 2, 0, 4, 2, 0, 1, 4, 4, 2, 3, 1, 0, 4, 2, 2, 4, 1, 3, 2, 0, 1, 3, 1, 0, 0, 1, 3, 3, 1, 2, 0, 3, 1, 3, 0, 2, 1, 4, 4, 2, 4, 2, 2, 2, 0, 2, 4, 3, 0, 1, 4, 3, 2, 4, 1, 1, 1, 1, 4, 1, 1, 2, 2, 0, 1, 3, 1, 1, 2, 4, 2, 3, 0, 0, 3, 1, 0, 3, 0, 1, 4, 3, 1, 0, 0, 4, 0]
pubkeycol748 = [4, 3, 0, 2, 0, 0, 0, 3, 2, 3, 1, 4, 0, 2, 1, 3, 4, 4, 0, 4, 1, 3, 0, 3, 0, 0, 1, 1, 1, 0, 3, 3, 1, 1, 0, 3, 1, 4, 4, 3, 1, 0, 1, 3, 2, 3, 4, 0, 1, 2, 3, 2, 3, 1, 2, 1, 3, 4, 3, 0, 4, 4, 3, 1, 1, 1, 0, 0, 2, 3, 0, 1, 4, 2, 1, 1, 0, 1, 4, 1, 4, 1, 1, 3, 0, 3, 1, 2, 1, 1, 1, 1, 0, 4, 1, 3, 4, 4, 2, 0, 2, 1, 1, 4, 1, 2, 0, 0, 0, 3, 3, 2, 1, 4, 2, 0, 0, 3, 2, 2, 0, 4, 0, 4, 4, 1, 3, 1, 3, 4, 2, 3, 4, 1, 0, 0, 1, 4, 0, 3, 1, 2, 1, 1, 1, 3, 3, 3, 4, 2, 2, 4, 4, 3, 0, 2, 0, 4, 2, 3, 4, 3, 1, 1, 3, 4, 0, 1, 2, 1, 4, 0, 0, 1, 2, 4, 2, 4, 1, 3, 1, 0, 1, 4, 3, 2, 4, 1, 0, 3, 3, 4, 1, 0, 4, 4, 4, 3, 1, 0, 2, 3, 4, 4, 1, 1, 1, 4, 3, 4, 3, 4, 0, 3, 1, 4, 1, 3, 3, 2, 1, 4, 4, 3, 1, 4, 1, 3, 3, 0, 4, 4, 3, 0, 1, 4, 1, 0, 4, 4, 1, 3, 0, 2, 0, 2, 3, 3, 3, 2, 4, 1, 0, 4, 1, 0, 2, 3, 4, 2, 2, 4, 0, 4, 3, 4, 1, 3, 3, 4, 0, 4, 1, 4, 2, 3, 1, 2, 4, 1, 4, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 1, 1, 4, 3, 0, 3, 1, 3, 0, 1, 2, 3, 1, 3, 3, 3, 2, 2, 4, 3, 1, 4, 2, 0, 2, 1, 1, 0, 0, 1, 4, 3, 3, 0, 0, 2, 2, 4, 2, 1, 0, 2, 1, 3, 3, 3, 3, 2, 0, 3, 0, 2, 3, 1, 1, 3, 4, 2, 3, 4, 0, 3, 2, 4, 1, 0, 3, 2, 2, 4, 2, 4, 2, 1, 2, 1, 3, 1, 1, 0, 1, 4, 1, 2, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 2, 2, 3, 2, 3, 0, 1, 3, 4, 4, 3, 0, 0]
pubkeycol749 = [4, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 3, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 1, 4, 3, 1, 3, 2, 2, 2, 4, 3, 0, 2, 0, 3, 2, 3, 0, 3, 4, 4, 0, 3, 0, 3, 4, 2, 4, 3, 1, 0, 0, 1, 2, 0, 4, 1, 2, 0, 4, 0, 1, 3, 0, 1, 0, 1, 4, 1, 0, 0, 3, 4, 3, 2, 4, 2, 3, 4, 0, 4, 2, 3, 0, 1, 1, 4, 1, 3, 1, 4, 2, 2, 4, 4, 4, 2, 0, 2, 3, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 3, 4, 0, 3, 0, 0, 4, 0, 0, 1, 1, 0, 3, 1, 2, 1, 1, 3, 2, 4, 2, 3, 0, 1, 2, 0, 4, 2, 3, 2, 0, 3, 2, 2, 2, 1, 4, 3, 4, 0, 4, 1, 2, 1, 1, 4, 4, 0, 3, 3, 3, 1, 1, 2, 2, 1, 3, 3, 2, 0, 1, 0, 1, 4, 2, 1, 0, 2, 0, 3, 2, 2, 2, 4, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 3, 3, 0, 2, 2, 4, 4, 0, 2, 4, 2, 0, 3, 0, 4, 3, 3, 4, 2, 3, 4, 4, 3, 3, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 4, 3, 3, 4, 1, 1, 0, 4, 1, 2, 0, 1, 0, 3, 1, 0, 0, 2, 1, 4, 2, 2, 0, 3, 1, 2, 2, 3, 2, 3, 0, 1, 1, 1, 4, 0, 2, 3, 1, 2, 3, 4, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 3, 0, 0, 4, 3, 0, 3, 2, 0, 3, 2, 0, 4, 3, 4, 3, 1, 0, 0, 2, 1, 2, 3, 0, 0, 3, 4, 1, 2, 4, 1, 1, 2, 2, 2, 2, 1, 4, 4, 1, 3, 3, 4, 0, 3, 0, 1, 3, 4, 4, 1, 0, 4, 3, 1, 1, 3, 1, 0, 3, 4, 2, 2, 0, 3, 1, 0, 4, 0, 3, 1, 1, 2, 4, 2, 4, 1, 1, 0, 0, 3, 1, 2, 1, 0, 4, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 0, 4, 4, 3, 2, 2, 0, 1, 4, 4, 1, 3, 4, 0]
pubkeycol750 = [1, 2, 1, 0, 4, 2, 2, 1, 1, 1, 4, 2, 1, 1, 4, 0, 0, 4, 1, 0, 3, 0, 1, 0, 4, 3, 2, 1, 1, 1, 0, 4, 4, 3, 3, 0, 3, 4, 1, 2, 4, 4, 1, 1, 1, 2, 4, 0, 3, 3, 2, 0, 1, 2, 0, 3, 3, 4, 3, 0, 0, 1, 4, 2, 3, 3, 4, 0, 2, 3, 4, 1, 0, 2, 2, 2, 2, 3, 0, 4, 4, 4, 1, 3, 2, 3, 0, 2, 1, 3, 2, 1, 0, 4, 3, 2, 1, 3, 4, 3, 3, 0, 0, 1, 2, 1, 2, 1, 1, 3, 1, 0, 1, 4, 3, 4, 0, 0, 1, 1, 3, 2, 3, 0, 4, 1, 1, 2, 1, 4, 2, 2, 2, 2, 4, 4, 3, 3, 3, 2, 4, 2, 4, 1, 0, 4, 0, 4, 4, 3, 2, 1, 4, 2, 1, 4, 2, 1, 0, 3, 4, 1, 2, 0, 0, 2, 3, 4, 4, 0, 2, 4, 1, 3, 2, 3, 4, 4, 1, 4, 3, 1, 1, 4, 0, 0, 1, 2, 2, 2, 1, 3, 1, 4, 4, 2, 1, 4, 3, 0, 4, 4, 0, 2, 0, 3, 1, 2, 4, 4, 0, 1, 0, 1, 2, 3, 2, 1, 2, 0, 2, 1, 0, 3, 4, 4, 4, 4, 0, 3, 3, 2, 3, 3, 1, 4, 2, 1, 4, 2, 4, 0, 1, 0, 1, 3, 1, 1, 3, 2, 2, 3, 4, 4, 0, 2, 2, 2, 3, 4, 4, 2, 2, 0, 2, 3, 1, 3, 2, 2, 4, 3, 2, 1, 1, 0, 3, 0, 4, 3, 1, 1, 0, 1, 0, 3, 0, 4, 1, 3, 3, 4, 4, 0, 1, 4, 1, 3, 4, 2, 3, 3, 3, 2, 4, 1, 2, 1, 4, 4, 3, 0, 4, 2, 3, 1, 0, 1, 3, 3, 4, 3, 0, 2, 3, 0, 2, 3, 4, 1, 2, 0, 4, 0, 1, 1, 0, 3, 3, 0, 4, 1, 2, 3, 1, 1, 4, 4, 2, 1, 3, 4, 3, 1, 2, 1, 1, 0, 2, 4, 2, 0, 3, 1, 0, 4, 4, 0, 3, 4, 4, 4, 2, 2, 0, 2, 3, 4, 0, 1, 1, 1, 2, 1, 0, 0, 2, 4, 1, 1, 3, 4, 4, 0, 1, 2, 1, 0, 1, 1]
pubkeycol751 = [4, 3, 2, 2, 4, 3, 4, 1, 4, 1, 0, 3, 0, 1, 3, 3, 0, 0, 0, 1, 2, 0, 0, 3, 1, 1, 0, 4, 2, 4, 3, 2, 0, 4, 4, 4, 0, 1, 2, 1, 4, 0, 2, 0, 4, 2, 1, 1, 3, 0, 4, 1, 3, 4, 3, 3, 0, 1, 2, 0, 2, 2, 1, 1, 1, 4, 3, 3, 4, 0, 2, 3, 0, 2, 3, 4, 1, 3, 3, 0, 2, 2, 2, 0, 3, 0, 4, 1, 0, 2, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 0, 2, 1, 4, 3, 3, 2, 1, 0, 0, 0, 2, 0, 4, 1, 1, 4, 3, 4, 0, 2, 1, 4, 3, 4, 1, 4, 3, 0, 3, 4, 3, 3, 2, 1, 1, 2, 0, 0, 3, 4, 2, 0, 0, 3, 3, 4, 1, 3, 1, 2, 1, 3, 2, 1, 3, 0, 0, 4, 2, 4, 3, 0, 0, 0, 1, 3, 2, 3, 0, 3, 1, 4, 4, 4, 4, 2, 3, 0, 3, 4, 0, 3, 1, 1, 1, 3, 0, 1, 0, 0, 3, 3, 2, 2, 1, 4, 2, 4, 3, 0, 1, 2, 1, 2, 2, 2, 3, 2, 0, 1, 4, 0, 2, 0, 2, 0, 1, 0, 0, 4, 0, 2, 1, 0, 2, 4, 0, 0, 1, 2, 3, 4, 1, 1, 4, 4, 4, 3, 1, 0, 4, 2, 4, 4, 0, 3, 4, 2, 0, 1, 4, 0, 2, 0, 0, 1, 3, 1, 3, 1, 0, 0, 4, 4, 0, 0, 3, 3, 1, 1, 4, 0, 4, 4, 2, 2, 1, 3, 0, 2, 0, 1, 3, 4, 1, 0, 0, 2, 3, 0, 2, 4, 3, 2, 4, 0, 2, 3, 4, 0, 4, 0, 0, 3, 1, 3, 1, 3, 2, 2, 2, 4, 4, 3, 1, 1, 0, 3, 3, 4, 2, 4, 2, 3, 4, 0, 0, 2, 4, 4, 2, 4, 4, 3, 0, 1, 4, 1, 4, 1, 0, 1, 3, 2, 3, 2, 3, 3, 0, 0, 0, 4, 4, 2, 2, 4, 1, 1, 3, 0, 0, 3, 2, 0, 0, 4, 4, 1, 4, 2, 0, 4, 2, 0, 1, 3, 3, 0, 1, 0, 2, 1, 2, 3, 3, 1, 4, 0, 2, 0, 3, 3, 0, 0, 0, 3, 3, 1, 4]
pubkeycol752 = [1, 3, 2, 1, 2, 3, 3, 2, 0, 1, 0, 2, 3, 1, 2, 2, 1, 2, 2, 2, 4, 2, 3, 0, 4, 2, 1, 0, 1, 2, 2, 4, 3, 3, 4, 0, 1, 0, 3, 4, 0, 4, 4, 2, 2, 2, 3, 0, 3, 3, 2, 4, 3, 1, 4, 4, 0, 1, 2, 3, 4, 4, 3, 1, 1, 3, 1, 2, 0, 3, 2, 0, 4, 1, 4, 3, 0, 2, 0, 4, 4, 1, 2, 0, 1, 1, 0, 0, 1, 1, 3, 1, 0, 3, 3, 3, 4, 1, 4, 3, 2, 3, 3, 4, 1, 3, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 0, 2, 1, 1, 4, 1, 1, 1, 0, 2, 4, 0, 1, 1, 1, 3, 1, 0, 2, 3, 0, 3, 2, 2, 2, 2, 3, 2, 1, 4, 2, 2, 4, 2, 2, 2, 3, 3, 3, 0, 3, 2, 3, 1, 0, 3, 0, 1, 1, 3, 1, 2, 4, 4, 3, 0, 1, 3, 4, 3, 2, 2, 3, 2, 4, 4, 2, 0, 2, 0, 1, 0, 4, 0, 3, 2, 0, 4, 3, 2, 1, 2, 4, 2, 4, 4, 1, 4, 1, 4, 4, 1, 1, 1, 4, 4, 1, 4, 1, 1, 0, 1, 4, 3, 3, 2, 4, 4, 3, 2, 0, 1, 3, 2, 3, 1, 0, 1, 3, 2, 4, 2, 1, 4, 0, 2, 2, 2, 2, 0, 0, 1, 3, 1, 3, 1, 3, 1, 1, 4, 1, 4, 1, 0, 4, 3, 2, 1, 1, 1, 1, 4, 1, 0, 3, 1, 4, 3, 0, 3, 2, 0, 3, 1, 3, 0, 1, 4, 0, 1, 3, 4, 1, 2, 2, 3, 4, 0, 3, 0, 1, 0, 4, 3, 1, 2, 4, 0, 3, 2, 1, 1, 4, 1, 2, 4, 3, 0, 3, 4, 3, 2, 3, 2, 4, 4, 1, 0, 2, 0, 3, 0, 2, 1, 1, 3, 3, 4, 4, 3, 2, 0, 2, 0, 1, 0, 4, 3, 4, 2, 3, 2, 1, 4, 4, 3, 0, 2, 2, 2, 3, 0, 4, 2, 3, 2, 2, 1, 1, 4, 4, 2, 2, 2, 1, 2, 0, 2, 2, 2, 3, 2, 4, 1, 3, 3, 1, 4, 4, 1, 1, 3, 2, 0, 3, 2, 2, 3, 2, 4, 0, 4, 2, 2]
pubkeycol753 = [4, 4, 2, 2, 2, 3, 3, 0, 3, 3, 4, 1, 2, 0, 4, 1, 1, 0, 2, 4, 2, 1, 0, 1, 3, 2, 2, 4, 1, 2, 2, 4, 1, 4, 2, 2, 3, 4, 2, 1, 2, 3, 1, 1, 3, 4, 0, 1, 1, 4, 3, 3, 2, 1, 0, 1, 2, 2, 4, 1, 4, 1, 2, 3, 1, 4, 2, 4, 3, 3, 0, 4, 2, 2, 1, 2, 4, 2, 0, 3, 0, 3, 0, 4, 4, 2, 0, 4, 1, 3, 1, 2, 3, 0, 4, 0, 2, 3, 4, 1, 1, 1, 2, 0, 1, 1, 0, 1, 4, 3, 3, 0, 1, 4, 3, 2, 2, 4, 2, 4, 3, 3, 1, 2, 3, 4, 1, 3, 4, 1, 4, 1, 1, 2, 3, 0, 1, 2, 1, 2, 1, 0, 4, 3, 0, 3, 0, 0, 2, 3, 4, 2, 4, 2, 3, 2, 1, 1, 3, 0, 4, 2, 2, 1, 4, 4, 3, 3, 0, 3, 4, 0, 2, 0, 1, 3, 1, 3, 4, 2, 1, 3, 0, 3, 3, 3, 1, 2, 2, 3, 4, 1, 0, 3, 4, 2, 4, 2, 1, 0, 2, 4, 1, 4, 2, 2, 4, 2, 2, 3, 3, 1, 0, 1, 4, 1, 3, 3, 2, 2, 2, 3, 3, 4, 3, 0, 2, 2, 4, 0, 0, 3, 3, 4, 2, 1, 1, 1, 4, 0, 0, 4, 3, 1, 2, 1, 0, 1, 3, 0, 4, 2, 3, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 3, 2, 2, 4, 2, 0, 3, 4, 1, 4, 0, 1, 0, 1, 3, 3, 4, 1, 3, 2, 0, 2, 2, 1, 2, 3, 1, 4, 3, 4, 2, 3, 3, 1, 2, 3, 1, 4, 3, 3, 2, 3, 0, 4, 2, 2, 3, 3, 0, 2, 4, 0, 0, 3, 1, 4, 1, 0, 2, 1, 4, 0, 3, 1, 0, 1, 2, 2, 4, 4, 3, 2, 2, 0, 4, 0, 4, 2, 0, 0, 0, 4, 1, 4, 3, 1, 1, 3, 2, 2, 3, 2, 1, 2, 3, 4, 4, 3, 1, 4, 4, 2, 1, 2, 2, 3, 4, 0, 0, 1, 0, 1, 3, 0, 2, 2, 0, 2, 0, 1, 2, 4, 0, 3, 0, 4, 0, 3, 4, 2, 1, 3, 1, 1]
pubkeycol754 = [2, 0, 2, 0, 3, 0, 3, 1, 0, 0, 0, 4, 3, 0, 0, 1, 0, 4, 4, 4, 4, 2, 2, 0, 4, 4, 2, 4, 4, 3, 2, 4, 0, 4, 3, 4, 0, 3, 3, 0, 2, 0, 3, 0, 3, 2, 2, 1, 1, 4, 3, 4, 4, 0, 0, 1, 1, 1, 0, 2, 3, 4, 1, 4, 1, 0, 3, 3, 0, 2, 2, 3, 0, 0, 1, 4, 1, 0, 1, 1, 2, 1, 0, 1, 4, 3, 2, 4, 3, 3, 0, 4, 3, 3, 3, 2, 2, 0, 1, 3, 2, 2, 0, 1, 3, 1, 0, 4, 1, 3, 3, 4, 3, 4, 4, 2, 1, 4, 2, 4, 2, 0, 0, 4, 4, 0, 0, 0, 3, 2, 4, 3, 0, 4, 4, 4, 3, 1, 4, 2, 3, 1, 4, 2, 3, 1, 3, 4, 0, 1, 0, 3, 2, 0, 4, 0, 4, 2, 2, 2, 2, 3, 0, 1, 2, 0, 2, 4, 2, 0, 1, 1, 0, 4, 0, 3, 2, 4, 4, 3, 0, 1, 1, 0, 3, 0, 2, 0, 4, 0, 1, 1, 4, 4, 1, 3, 0, 0, 3, 2, 1, 0, 3, 1, 1, 2, 2, 4, 4, 4, 4, 0, 3, 0, 4, 0, 0, 3, 2, 3, 3, 0, 3, 1, 1, 0, 2, 1, 3, 1, 2, 2, 3, 3, 3, 0, 0, 4, 3, 3, 4, 3, 1, 1, 0, 0, 1, 1, 2, 0, 3, 3, 2, 4, 1, 0, 4, 0, 1, 0, 2, 2, 1, 0, 3, 4, 2, 2, 2, 4, 2, 3, 2, 0, 1, 4, 2, 1, 4, 0, 2, 0, 0, 4, 1, 4, 0, 2, 3, 0, 0, 0, 4, 0, 3, 0, 2, 4, 2, 3, 0, 3, 4, 1, 3, 0, 4, 0, 1, 1, 2, 1, 0, 0, 1, 2, 4, 3, 3, 3, 1, 0, 4, 3, 4, 0, 4, 3, 4, 0, 0, 3, 0, 3, 1, 4, 4, 2, 0, 0, 1, 1, 3, 0, 3, 3, 0, 0, 0, 1, 0, 1, 0, 1, 3, 3, 4, 2, 3, 0, 3, 0, 4, 2, 1, 1, 1, 4, 3, 4, 1, 2, 2, 0, 3, 1, 4, 4, 4, 3, 3, 2, 0, 1, 4, 1, 2, 1, 1, 3, 2, 2, 0, 0, 4, 0, 3, 0, 0, 1]
pubkeycol755 = [1, 1, 1, 1, 3, 3, 2, 1, 2, 2, 1, 1, 4, 4, 0, 1, 0, 2, 4, 1, 0, 3, 2, 0, 2, 1, 4, 0, 0, 1, 1, 3, 4, 4, 4, 3, 2, 1, 4, 3, 4, 2, 3, 3, 4, 4, 1, 0, 4, 3, 1, 2, 0, 1, 4, 0, 1, 0, 4, 3, 4, 0, 4, 0, 2, 3, 3, 0, 1, 2, 3, 1, 4, 1, 2, 0, 3, 2, 0, 0, 4, 3, 1, 0, 1, 0, 3, 4, 2, 0, 0, 2, 3, 0, 1, 1, 4, 3, 4, 4, 1, 0, 1, 4, 2, 2, 3, 4, 0, 0, 1, 4, 2, 0, 0, 3, 1, 3, 2, 1, 2, 3, 4, 3, 1, 1, 1, 0, 1, 0, 3, 1, 3, 1, 3, 3, 3, 4, 0, 2, 1, 0, 1, 2, 2, 3, 2, 2, 1, 3, 1, 2, 3, 0, 1, 2, 1, 3, 3, 2, 2, 4, 0, 0, 1, 0, 1, 3, 2, 2, 4, 1, 3, 1, 1, 0, 4, 4, 1, 1, 1, 4, 3, 1, 4, 2, 4, 1, 2, 4, 2, 2, 2, 1, 1, 2, 1, 3, 1, 3, 3, 4, 0, 0, 0, 4, 2, 3, 4, 2, 0, 4, 0, 1, 3, 2, 0, 2, 4, 0, 0, 3, 2, 0, 3, 2, 3, 4, 0, 0, 4, 0, 1, 3, 2, 1, 2, 2, 2, 3, 2, 2, 1, 2, 0, 3, 0, 2, 0, 3, 2, 2, 2, 2, 0, 4, 1, 2, 2, 1, 2, 3, 4, 2, 1, 0, 3, 1, 4, 2, 4, 4, 3, 3, 1, 4, 0, 2, 0, 4, 0, 1, 4, 1, 0, 4, 1, 3, 0, 0, 2, 0, 4, 4, 3, 0, 1, 4, 2, 1, 4, 2, 3, 4, 0, 3, 0, 4, 3, 1, 4, 1, 1, 0, 2, 3, 3, 4, 1, 3, 1, 4, 1, 4, 2, 4, 4, 4, 1, 0, 0, 2, 2, 2, 3, 2, 2, 4, 0, 4, 0, 1, 0, 0, 1, 0, 4, 4, 1, 0, 4, 4, 2, 4, 3, 0, 0, 0, 1, 1, 3, 4, 3, 1, 1, 3, 3, 0, 0, 0, 3, 1, 0, 0, 4, 2, 3, 1, 4, 4, 0, 0, 2, 0, 2, 0, 4, 3, 3, 2, 0, 1, 0, 1, 3, 2, 1, 0, 1, 0]
pubkeycol756 = [2, 2, 4, 3, 0, 0, 4, 3, 2, 4, 0, 3, 1, 3, 3, 0, 4, 3, 1, 1, 4, 1, 2, 1, 0, 2, 2, 3, 3, 0, 2, 0, 4, 4, 3, 2, 4, 3, 2, 4, 0, 4, 0, 1, 3, 3, 4, 2, 1, 0, 0, 2, 0, 1, 4, 4, 2, 2, 2, 0, 2, 4, 4, 2, 1, 1, 3, 2, 4, 4, 4, 1, 2, 2, 2, 3, 3, 0, 0, 1, 1, 4, 4, 1, 1, 4, 3, 2, 2, 2, 4, 0, 4, 4, 4, 3, 4, 0, 3, 1, 4, 4, 3, 4, 4, 3, 1, 0, 3, 1, 4, 2, 1, 4, 3, 3, 4, 1, 2, 4, 3, 2, 0, 4, 2, 0, 4, 0, 3, 4, 0, 4, 0, 0, 4, 3, 3, 3, 0, 4, 3, 0, 2, 1, 4, 1, 4, 1, 4, 3, 1, 1, 2, 4, 1, 3, 0, 2, 0, 1, 4, 2, 0, 4, 4, 1, 3, 0, 4, 2, 1, 4, 2, 4, 4, 3, 4, 4, 4, 2, 0, 2, 0, 2, 2, 4, 4, 4, 3, 1, 1, 4, 3, 4, 4, 1, 3, 1, 2, 3, 4, 1, 2, 2, 0, 0, 1, 0, 2, 3, 1, 4, 1, 0, 1, 3, 2, 0, 1, 3, 1, 3, 3, 0, 0, 0, 2, 2, 1, 0, 4, 1, 3, 4, 3, 3, 4, 3, 0, 0, 3, 3, 2, 4, 2, 4, 3, 0, 2, 4, 3, 1, 4, 2, 2, 1, 0, 3, 0, 0, 2, 4, 3, 3, 1, 0, 0, 3, 2, 3, 2, 3, 4, 0, 1, 4, 0, 1, 2, 2, 4, 4, 4, 0, 4, 1, 4, 0, 1, 0, 1, 2, 1, 0, 2, 4, 1, 4, 2, 4, 2, 3, 0, 4, 0, 1, 2, 3, 3, 3, 4, 4, 2, 1, 1, 2, 2, 3, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 4, 3, 1, 0, 2, 3, 2, 0, 2, 2, 3, 3, 4, 2, 4, 4, 4, 4, 0, 0, 2, 1, 0, 1, 2, 3, 0, 2, 4, 2, 4, 3, 3, 4, 4, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 3, 0, 4, 4, 0, 4, 1, 1, 4, 3, 3, 4, 0, 4, 3, 0, 1, 1, 0, 2, 2, 2, 1, 3, 0, 2]
pubkeycol757 = [0, 1, 3, 2, 2, 0, 1, 0, 4, 2, 0, 4, 4, 1, 1, 4, 1, 2, 3, 3, 4, 2, 4, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 3, 0, 0, 1, 0, 4, 1, 1, 0, 3, 4, 2, 2, 3, 3, 0, 0, 2, 1, 4, 0, 4, 0, 0, 3, 4, 2, 1, 0, 4, 0, 2, 1, 1, 1, 3, 4, 4, 2, 3, 2, 0, 0, 1, 3, 0, 2, 4, 1, 4, 1, 4, 1, 1, 0, 4, 2, 4, 4, 2, 4, 1, 2, 2, 0, 0, 4, 3, 1, 3, 0, 2, 4, 0, 2, 4, 3, 1, 1, 2, 4, 2, 4, 4, 1, 4, 4, 2, 1, 2, 2, 2, 3, 2, 2, 3, 1, 1, 4, 0, 2, 1, 1, 3, 3, 2, 4, 2, 4, 3, 1, 2, 1, 3, 3, 3, 2, 4, 2, 1, 1, 4, 4, 2, 3, 2, 4, 2, 4, 2, 4, 4, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 4, 4, 4, 2, 3, 4, 3, 4, 4, 4, 4, 3, 3, 1, 4, 2, 4, 4, 3, 4, 0, 2, 0, 1, 3, 3, 3, 3, 1, 0, 2, 4, 3, 1, 3, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 3, 1, 1, 3, 2, 4, 2, 4, 4, 4, 3, 0, 1, 2, 2, 1, 3, 3, 0, 2, 4, 4, 2, 1, 4, 4, 2, 4, 0, 2, 1, 4, 4, 3, 4, 2, 0, 3, 1, 1, 4, 3, 2, 0, 3, 3, 1, 2, 3, 0, 0, 3, 1, 3, 3, 2, 0, 1, 1, 3, 2, 1, 3, 3, 4, 3, 3, 4, 2, 0, 1, 4, 0, 2, 3, 0, 0, 1, 4, 3, 4, 3, 2, 4, 4, 3, 3, 4, 2, 4, 0, 2, 1, 2, 2, 1, 0, 3, 0, 4, 2, 1, 3, 4, 1, 4, 1, 2, 1, 0, 3, 3, 2, 4, 3, 1, 0, 4, 1, 4, 3, 1, 3, 2, 1, 2, 0, 4, 0, 3, 2, 4, 1, 4, 2, 3, 1, 0, 0, 2, 0, 4, 4, 2, 4, 3, 3, 3, 0, 3, 0, 4, 3, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 3, 3, 4, 4, 0, 2, 2, 1, 3, 3, 3, 4, 0, 4, 1, 3]
pubkeycol758 = [2, 1, 1, 2, 2, 3, 1, 2, 2, 2, 4, 3, 3, 2, 2, 4, 0, 2, 4, 2, 0, 2, 0, 4, 3, 1, 2, 1, 1, 1, 3, 1, 0, 2, 2, 2, 0, 0, 3, 0, 3, 0, 1, 3, 3, 1, 1, 1, 2, 0, 4, 2, 4, 0, 3, 0, 1, 4, 3, 3, 3, 2, 3, 3, 4, 1, 4, 4, 0, 2, 0, 3, 2, 2, 3, 4, 1, 3, 2, 2, 3, 4, 1, 0, 4, 4, 4, 0, 1, 0, 1, 2, 0, 0, 1, 4, 0, 4, 3, 0, 4, 3, 1, 0, 1, 1, 0, 0, 2, 3, 0, 4, 4, 0, 0, 1, 4, 0, 3, 0, 1, 4, 3, 3, 0, 1, 3, 2, 1, 4, 1, 1, 2, 0, 2, 3, 3, 2, 3, 4, 1, 4, 0, 1, 0, 2, 4, 0, 3, 1, 2, 1, 4, 2, 1, 1, 4, 2, 4, 0, 4, 1, 2, 3, 4, 0, 4, 3, 1, 0, 0, 2, 4, 1, 0, 3, 1, 1, 2, 1, 4, 1, 0, 1, 2, 3, 3, 4, 4, 1, 4, 0, 0, 2, 4, 4, 0, 1, 1, 1, 4, 1, 2, 2, 0, 3, 4, 4, 4, 4, 1, 4, 1, 3, 0, 3, 3, 0, 1, 2, 1, 4, 3, 4, 0, 4, 1, 2, 0, 3, 1, 2, 2, 1, 0, 4, 2, 2, 1, 1, 2, 4, 0, 0, 4, 2, 1, 4, 0, 0, 3, 2, 1, 3, 0, 1, 1, 2, 3, 4, 1, 3, 4, 4, 1, 3, 4, 0, 3, 4, 3, 3, 1, 3, 1, 2, 3, 4, 1, 2, 1, 0, 3, 0, 0, 2, 1, 3, 2, 3, 3, 1, 2, 0, 1, 1, 2, 3, 4, 2, 4, 2, 3, 3, 2, 0, 2, 2, 3, 0, 1, 1, 1, 4, 2, 0, 0, 3, 0, 4, 1, 0, 1, 1, 1, 3, 3, 2, 4, 2, 1, 1, 2, 3, 1, 2, 0, 3, 4, 3, 0, 4, 4, 3, 2, 0, 4, 1, 2, 3, 1, 2, 3, 2, 3, 0, 4, 3, 4, 2, 3, 3, 1, 2, 0, 3, 1, 1, 1, 4, 3, 0, 2, 0, 4, 1, 3, 1, 2, 4, 2, 2, 1, 3, 1, 2, 2, 0, 4, 3, 4, 0, 4, 0, 1, 0, 3, 0, 0, 0]
pubkeycol759 = [3, 1, 2, 0, 1, 3, 3, 1, 1, 2, 4, 1, 4, 4, 2, 3, 4, 3, 1, 1, 4, 3, 0, 4, 4, 4, 3, 3, 2, 2, 2, 4, 0, 4, 2, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 1, 3, 0, 1, 2, 2, 0, 1, 3, 0, 1, 4, 1, 4, 1, 0, 4, 1, 4, 4, 2, 0, 1, 4, 3, 0, 1, 1, 4, 4, 0, 1, 4, 4, 2, 4, 3, 4, 1, 4, 4, 0, 1, 2, 3, 2, 1, 4, 3, 1, 3, 2, 2, 3, 1, 4, 2, 2, 3, 2, 0, 0, 3, 1, 3, 2, 0, 3, 2, 0, 2, 2, 3, 0, 2, 0, 0, 4, 4, 4, 3, 1, 0, 2, 0, 0, 3, 1, 1, 4, 4, 2, 4, 3, 4, 4, 0, 3, 2, 1, 0, 4, 4, 3, 2, 1, 0, 2, 2, 1, 0, 3, 0, 2, 4, 1, 2, 1, 0, 2, 3, 0, 2, 0, 2, 4, 0, 0, 2, 0, 1, 0, 0, 0, 3, 4, 4, 2, 1, 3, 0, 4, 1, 2, 0, 4, 4, 4, 1, 4, 2, 2, 4, 3, 4, 2, 0, 4, 0, 2, 1, 1, 2, 1, 3, 3, 1, 3, 3, 2, 3, 3, 4, 2, 4, 1, 3, 3, 0, 0, 4, 0, 1, 3, 4, 0, 1, 1, 4, 0, 4, 0, 1, 0, 4, 3, 1, 0, 3, 0, 4, 1, 1, 2, 0, 0, 2, 3, 1, 4, 1, 0, 4, 4, 0, 1, 0, 3, 0, 3, 1, 4, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 4, 1, 4, 1, 3, 4, 4, 4, 1, 0, 3, 2, 0, 0, 2, 4, 3, 4, 0, 0, 3, 0, 1, 3, 3, 2, 1, 3, 4, 4, 3, 2, 1, 1, 1, 3, 4, 2, 3, 4, 0, 1, 1, 0, 2, 2, 3, 0, 2, 1, 2, 2, 0, 1, 0, 4, 1, 4, 3, 4, 0, 1, 1, 3, 4, 1, 4, 1, 2, 0, 1, 0, 1, 4, 0, 1, 3, 2, 0, 4, 0, 1, 1, 2, 3, 0, 2, 1, 0, 0, 4, 3, 4, 3, 4, 2, 2, 4, 0, 0, 2, 4, 3, 1, 4, 3, 4, 4, 1, 3, 2, 3, 1, 2, 3]
pubkeycol760 = [4, 2, 0, 3, 3, 3, 2, 3, 3, 2, 4, 4, 0, 4, 1, 2, 2, 3, 4, 4, 0, 0, 1, 4, 0, 4, 0, 4, 0, 1, 3, 3, 2, 2, 4, 0, 1, 4, 1, 2, 0, 3, 1, 1, 4, 4, 3, 0, 0, 0, 3, 0, 2, 4, 3, 3, 3, 4, 3, 3, 0, 2, 4, 4, 1, 0, 1, 3, 3, 4, 2, 2, 3, 4, 3, 3, 3, 4, 1, 3, 4, 1, 2, 3, 0, 4, 3, 2, 4, 2, 4, 4, 1, 4, 3, 4, 3, 1, 4, 1, 1, 4, 1, 2, 0, 4, 3, 0, 2, 4, 4, 4, 4, 3, 2, 2, 0, 1, 3, 3, 1, 2, 0, 3, 4, 3, 3, 2, 4, 1, 1, 0, 2, 3, 1, 2, 2, 0, 0, 4, 0, 1, 1, 2, 1, 0, 3, 1, 3, 1, 3, 0, 1, 2, 1, 4, 2, 1, 2, 1, 4, 2, 3, 4, 3, 1, 4, 1, 1, 3, 2, 4, 4, 2, 1, 1, 4, 0, 1, 4, 1, 2, 2, 0, 2, 1, 4, 3, 2, 2, 3, 1, 3, 1, 0, 0, 1, 3, 2, 1, 3, 4, 1, 4, 1, 0, 2, 1, 3, 2, 3, 0, 2, 4, 0, 2, 4, 4, 4, 4, 2, 0, 3, 1, 4, 1, 3, 4, 1, 4, 1, 0, 0, 2, 2, 1, 1, 4, 2, 4, 0, 2, 4, 2, 1, 3, 3, 0, 0, 3, 0, 2, 3, 0, 4, 1, 3, 1, 3, 2, 2, 1, 1, 0, 4, 4, 2, 2, 2, 3, 4, 3, 0, 3, 2, 4, 3, 3, 2, 4, 4, 0, 0, 3, 2, 2, 3, 3, 4, 2, 2, 3, 4, 1, 4, 3, 1, 4, 4, 3, 3, 0, 3, 0, 2, 4, 1, 3, 4, 0, 4, 2, 1, 1, 2, 1, 4, 4, 0, 3, 4, 3, 0, 3, 2, 0, 0, 1, 1, 3, 1, 4, 0, 3, 1, 3, 1, 3, 0, 4, 0, 4, 3, 1, 3, 0, 3, 2, 2, 2, 2, 4, 2, 2, 3, 4, 1, 3, 1, 4, 2, 1, 4, 3, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 3, 1, 4, 1, 3, 1, 0, 4, 1, 2, 0, 1, 2, 3, 0, 1, 1, 0, 0, 1, 4, 1, 4, 4, 4]
pubkeycol761 = [2, 0, 1, 0, 4, 2, 3, 3, 0, 0, 4, 4, 1, 2, 2, 0, 1, 0, 3, 2, 1, 0, 3, 0, 0, 4, 4, 2, 2, 4, 0, 0, 2, 3, 2, 1, 0, 4, 1, 2, 4, 0, 3, 2, 0, 4, 2, 4, 2, 3, 1, 1, 2, 4, 0, 1, 0, 0, 3, 4, 0, 0, 0, 0, 1, 3, 0, 1, 3, 0, 1, 1, 0, 1, 0, 2, 4, 3, 3, 2, 3, 1, 2, 2, 0, 3, 0, 1, 0, 1, 4, 2, 3, 1, 0, 4, 2, 2, 0, 3, 1, 1, 2, 4, 2, 1, 3, 0, 2, 4, 3, 0, 4, 3, 2, 3, 1, 0, 1, 2, 3, 1, 4, 2, 2, 2, 3, 4, 0, 0, 1, 2, 4, 4, 3, 1, 1, 3, 3, 4, 1, 0, 1, 3, 2, 2, 4, 0, 0, 2, 3, 1, 2, 2, 4, 3, 2, 2, 3, 1, 2, 2, 4, 4, 3, 3, 1, 4, 2, 0, 3, 4, 3, 4, 0, 3, 2, 2, 4, 4, 0, 0, 4, 4, 2, 1, 0, 2, 1, 1, 2, 1, 2, 4, 0, 2, 3, 0, 1, 1, 1, 3, 0, 1, 4, 0, 1, 0, 0, 3, 1, 0, 1, 3, 1, 0, 4, 4, 4, 0, 4, 2, 4, 1, 0, 0, 1, 1, 1, 4, 2, 3, 1, 4, 1, 3, 0, 2, 4, 0, 4, 4, 0, 2, 2, 4, 1, 3, 4, 0, 0, 4, 0, 2, 2, 3, 1, 2, 2, 1, 1, 3, 4, 4, 2, 4, 0, 0, 2, 2, 2, 3, 0, 4, 3, 0, 4, 4, 4, 4, 0, 1, 2, 0, 3, 2, 2, 3, 1, 1, 3, 2, 1, 0, 1, 1, 3, 4, 4, 3, 3, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 4, 3, 2, 3, 1, 1, 1, 1, 0, 3, 3, 1, 1, 3, 4, 4, 4, 2, 1, 3, 2, 0, 2, 0, 0, 3, 2, 4, 2, 2, 3, 0, 2, 1, 4, 1, 1, 3, 4, 1, 2, 0, 4, 3, 1, 0, 3, 0, 2, 1, 2, 2, 2, 1, 3, 1, 4, 1, 4, 1, 0, 3, 1, 1, 3, 4, 3, 4, 4, 3, 3, 4, 2, 1, 1, 3, 4, 0, 4, 4, 4, 4, 1, 3, 4, 4, 1, 3, 1]
pubkeycol762 = [4, 1, 4, 0, 3, 4, 0, 1, 2, 0, 1, 2, 0, 3, 3, 2, 2, 2, 3, 2, 4, 4, 4, 4, 4, 4, 0, 1, 2, 4, 1, 4, 1, 1, 3, 2, 3, 4, 2, 4, 1, 3, 4, 4, 2, 4, 3, 1, 1, 0, 3, 4, 3, 0, 0, 3, 2, 4, 1, 2, 3, 4, 0, 0, 1, 1, 3, 1, 4, 2, 3, 3, 3, 2, 4, 0, 1, 1, 4, 0, 3, 2, 3, 1, 1, 4, 3, 3, 0, 3, 3, 3, 4, 4, 3, 1, 3, 0, 1, 1, 2, 4, 4, 4, 3, 0, 1, 3, 1, 2, 0, 3, 4, 4, 4, 2, 2, 4, 0, 0, 1, 0, 4, 4, 0, 2, 2, 3, 4, 2, 3, 2, 2, 1, 1, 4, 0, 4, 2, 3, 2, 1, 3, 3, 2, 4, 4, 3, 4, 3, 1, 3, 0, 4, 3, 0, 3, 4, 2, 0, 3, 4, 2, 0, 4, 1, 2, 1, 0, 3, 1, 4, 4, 2, 1, 0, 2, 3, 2, 4, 4, 0, 0, 4, 4, 2, 0, 4, 3, 2, 0, 1, 2, 4, 2, 1, 0, 2, 1, 4, 0, 4, 2, 1, 2, 2, 4, 1, 2, 2, 0, 0, 0, 0, 3, 2, 0, 0, 2, 4, 3, 3, 3, 2, 1, 3, 3, 3, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 3, 3, 3, 0, 1, 4, 2, 0, 0, 1, 0, 3, 3, 4, 1, 0, 0, 3, 1, 4, 3, 2, 4, 4, 0, 3, 0, 4, 2, 0, 2, 1, 3, 0, 0, 0, 2, 0, 1, 4, 2, 3, 2, 3, 0, 4, 4, 4, 2, 1, 2, 0, 0, 3, 3, 1, 1, 3, 1, 4, 3, 3, 3, 3, 3, 2, 4, 3, 2, 4, 0, 4, 1, 0, 1, 3, 1, 3, 1, 4, 3, 0, 4, 1, 2, 2, 0, 1, 0, 0, 4, 3, 4, 0, 2, 0, 2, 4, 4, 2, 0, 0, 0, 4, 4, 2, 2, 3, 2, 2, 2, 2, 2, 4, 2, 0, 3, 4, 3, 2, 3, 2, 3, 2, 0, 3, 1, 3, 1, 3, 3, 2, 4, 0, 1, 3, 2, 3, 0, 3, 0, 4, 1, 4, 1, 3, 0, 2, 1, 4, 2, 3, 0, 2, 2, 1, 0, 0, 0, 3, 4, 2]
pubkeycol763 = [3, 1, 1, 0, 4, 4, 0, 2, 4, 1, 2, 3, 3, 4, 3, 0, 0, 1, 3, 4, 2, 2, 1, 0, 3, 0, 4, 4, 4, 2, 3, 2, 3, 2, 3, 1, 0, 3, 4, 4, 1, 2, 1, 0, 3, 4, 3, 0, 3, 1, 0, 4, 3, 4, 3, 3, 3, 4, 2, 3, 1, 4, 3, 0, 4, 1, 1, 2, 3, 3, 2, 1, 2, 2, 1, 0, 3, 1, 4, 0, 2, 4, 1, 1, 3, 2, 3, 3, 4, 2, 3, 1, 1, 3, 3, 0, 2, 0, 2, 4, 3, 4, 3, 0, 4, 2, 3, 3, 4, 2, 0, 2, 1, 1, 2, 1, 2, 3, 1, 3, 1, 1, 1, 4, 2, 1, 2, 3, 3, 3, 2, 3, 3, 0, 2, 1, 4, 2, 3, 4, 3, 3, 1, 3, 1, 0, 3, 0, 4, 1, 2, 4, 1, 1, 4, 3, 0, 1, 1, 1, 4, 0, 3, 0, 3, 1, 3, 0, 3, 1, 3, 4, 2, 3, 1, 2, 3, 0, 1, 1, 3, 0, 2, 0, 3, 3, 2, 2, 2, 1, 1, 3, 2, 2, 3, 2, 3, 4, 0, 3, 2, 2, 2, 1, 0, 3, 4, 2, 2, 4, 4, 0, 3, 0, 2, 1, 2, 2, 1, 3, 3, 1, 3, 3, 4, 0, 4, 2, 1, 0, 1, 0, 0, 4, 3, 3, 2, 3, 3, 2, 0, 1, 1, 3, 0, 2, 2, 2, 1, 3, 0, 0, 1, 3, 1, 4, 2, 2, 3, 1, 4, 3, 4, 0, 0, 4, 1, 2, 3, 0, 4, 2, 1, 1, 0, 3, 4, 0, 0, 0, 0, 2, 4, 2, 3, 3, 4, 0, 1, 2, 0, 4, 2, 0, 2, 0, 0, 3, 4, 3, 4, 0, 4, 1, 0, 0, 0, 3, 4, 0, 4, 3, 3, 4, 0, 2, 1, 1, 4, 4, 0, 4, 1, 3, 0, 3, 3, 0, 1, 1, 2, 1, 4, 2, 3, 1, 0, 4, 2, 2, 0, 3, 1, 1, 0, 4, 1, 2, 2, 4, 0, 3, 1, 0, 3, 1, 4, 2, 1, 3, 4, 4, 3, 2, 0, 0, 3, 1, 0, 4, 3, 2, 4, 2, 2, 0, 3, 2, 2, 1, 1, 1, 4, 4, 1, 2, 3, 0, 3, 4, 3, 2, 2, 4, 3, 3, 2, 2, 3, 3]
pubkeycol764 = [3, 4, 4, 4, 0, 1, 1, 1, 0, 2, 3, 2, 1, 3, 2, 4, 2, 1, 0, 0, 0, 3, 1, 0, 3, 3, 0, 0, 4, 2, 0, 2, 4, 4, 3, 0, 0, 3, 3, 4, 2, 0, 1, 4, 0, 1, 1, 3, 3, 2, 2, 0, 2, 0, 1, 3, 2, 0, 0, 0, 2, 3, 0, 1, 2, 1, 2, 3, 1, 2, 2, 3, 1, 0, 1, 4, 0, 2, 2, 3, 3, 0, 3, 4, 4, 1, 1, 0, 1, 4, 2, 2, 2, 1, 2, 1, 0, 4, 4, 1, 1, 1, 1, 3, 4, 0, 3, 4, 2, 1, 2, 4, 1, 4, 1, 1, 1, 1, 2, 1, 1, 0, 4, 3, 0, 2, 3, 0, 4, 0, 1, 3, 4, 1, 0, 0, 1, 0, 1, 2, 2, 1, 3, 3, 4, 4, 2, 1, 3, 4, 1, 1, 4, 3, 3, 0, 3, 2, 4, 1, 0, 2, 4, 1, 1, 2, 2, 4, 2, 0, 3, 0, 0, 2, 1, 2, 0, 1, 1, 3, 4, 4, 0, 4, 3, 1, 0, 4, 3, 3, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 2, 4, 0, 3, 2, 0, 4, 2, 1, 4, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 4, 0, 4, 3, 3, 0, 4, 3, 1, 3, 3, 3, 0, 3, 1, 2, 3, 1, 4, 1, 2, 4, 3, 2, 2, 0, 1, 3, 4, 1, 2, 4, 1, 4, 0, 3, 3, 0, 3, 4, 2, 4, 3, 1, 1, 0, 0, 1, 2, 3, 1, 2, 0, 0, 3, 4, 0, 0, 4, 0, 3, 1, 4, 4, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 0, 1, 4, 0, 3, 3, 3, 3, 2, 3, 0, 3, 4, 0, 1, 3, 0, 1, 3, 3, 1, 3, 1, 3, 0, 2, 1, 4, 2, 2, 2, 1, 3, 4, 1, 1, 3, 0, 0, 1, 2, 4, 3, 0, 0, 1, 3, 0, 2, 2, 1, 3, 3, 3, 2, 2, 0, 1, 3, 4, 3, 3, 2, 4, 0, 0, 0, 0, 1, 1, 0, 2, 4, 4, 0, 4, 4, 3, 3, 3, 4, 0, 0, 1, 1, 3, 0, 3, 3, 2, 1, 1, 2, 4, 3]
pubkeycol765 = [3, 4, 4, 0, 3, 1, 4, 3, 3, 2, 4, 0, 3, 4, 2, 0, 1, 4, 2, 0, 0, 3, 1, 0, 4, 4, 4, 3, 2, 1, 3, 3, 2, 0, 2, 1, 3, 1, 2, 3, 3, 4, 3, 2, 1, 3, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 4, 0, 2, 1, 2, 1, 1, 3, 3, 0, 0, 4, 2, 1, 3, 0, 0, 4, 1, 4, 2, 3, 0, 0, 0, 2, 1, 4, 2, 4, 0, 3, 3, 4, 4, 3, 3, 4, 4, 0, 0, 1, 1, 2, 4, 1, 1, 2, 2, 3, 3, 2, 1, 4, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 4, 3, 4, 2, 0, 0, 0, 1, 2, 1, 0, 4, 1, 2, 4, 2, 2, 3, 4, 0, 3, 2, 1, 0, 3, 2, 4, 4, 0, 2, 3, 4, 1, 4, 4, 3, 4, 0, 2, 2, 1, 2, 1, 1, 1, 4, 4, 1, 1, 2, 2, 1, 3, 1, 4, 0, 4, 0, 4, 0, 0, 2, 1, 1, 1, 4, 2, 2, 1, 2, 4, 3, 2, 2, 4, 0, 2, 3, 3, 0, 3, 0, 4, 0, 0, 1, 3, 4, 0, 3, 3, 0, 4, 1, 3, 0, 0, 2, 2, 4, 0, 3, 0, 1, 3, 0, 3, 3, 2, 1, 4, 3, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 4, 0, 2, 1, 0, 4, 1, 2, 0, 0, 3, 2, 0, 2, 4, 4, 0, 0, 1, 0, 4, 0, 1, 3, 3, 3, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 4, 3, 1, 4, 0, 2, 0, 0, 4, 3, 1, 2, 3, 2, 0, 4, 2, 2, 0, 0, 2, 2, 3, 3, 0, 3, 2, 3, 1, 3, 0, 3, 1, 1, 4, 3, 3, 0, 2, 2, 0, 4, 0, 4, 1, 2, 3, 2, 2, 0, 0, 2, 3, 3, 4, 4, 2, 2, 2, 3, 1, 1, 1, 3, 2, 0, 3, 1, 3, 4, 0, 3, 4, 1, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 3, 3, 1, 3, 2, 2, 1, 1, 2, 2, 2, 4, 1, 2, 1, 3, 1, 4, 0, 1, 0, 4, 3, 2, 0]
pubkeycol766 = [2, 0, 0, 3, 2, 3, 0, 1, 2, 2, 0, 1, 3, 2, 4, 4, 0, 1, 0, 3, 3, 0, 0, 0, 2, 3, 3, 4, 3, 1, 0, 1, 0, 2, 3, 3, 1, 4, 3, 4, 4, 0, 2, 4, 2, 3, 0, 3, 3, 2, 2, 2, 0, 2, 3, 3, 3, 2, 0, 4, 0, 0, 3, 3, 0, 0, 3, 4, 2, 2, 4, 4, 4, 4, 4, 0, 4, 2, 3, 4, 2, 0, 4, 1, 1, 3, 3, 3, 4, 1, 2, 1, 2, 0, 4, 4, 0, 4, 4, 4, 1, 4, 0, 2, 1, 4, 0, 0, 4, 1, 0, 0, 2, 3, 1, 4, 0, 1, 0, 4, 3, 3, 1, 0, 4, 1, 4, 0, 2, 2, 1, 2, 2, 2, 1, 0, 3, 1, 4, 3, 4, 2, 0, 3, 3, 0, 0, 2, 3, 0, 1, 2, 2, 3, 2, 1, 3, 3, 2, 1, 1, 3, 4, 0, 4, 0, 4, 2, 0, 1, 2, 2, 1, 0, 1, 0, 3, 3, 2, 2, 1, 3, 1, 0, 4, 2, 1, 2, 3, 4, 0, 0, 4, 4, 2, 4, 0, 2, 2, 0, 3, 3, 4, 2, 2, 0, 3, 3, 2, 0, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 1, 4, 2, 3, 1, 1, 2, 4, 4, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 1, 4, 2, 0, 2, 0, 2, 1, 3, 1, 3, 3, 1, 0, 3, 0, 4, 1, 2, 3, 3, 3, 0, 3, 4, 3, 3, 1, 0, 3, 3, 4, 3, 4, 1, 1, 1, 4, 1, 0, 4, 3, 4, 0, 3, 1, 1, 2, 2, 2, 0, 0, 0, 3, 3, 4, 0, 3, 2, 2, 2, 3, 3, 0, 2, 4, 1, 4, 2, 2, 0, 3, 4, 2, 0, 3, 1, 4, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 2, 0, 0, 4, 3, 4, 4, 3, 3, 2, 2, 4, 2, 4, 4, 2, 2, 3, 2, 4, 2, 0, 4, 1, 3, 2, 0, 1, 3, 0, 2, 1, 0, 1, 2, 4, 0, 4, 4, 2, 2, 1, 4, 0, 0, 4, 3, 1, 2, 2, 4, 4, 0, 1, 1, 1, 4, 2, 1, 1, 2, 2, 4, 3, 0, 3, 3, 3, 1, 3, 4, 0, 1]
pubkeycol767 = [3, 4, 2, 4, 3, 1, 3, 1, 0, 2, 4, 4, 2, 2, 1, 2, 1, 4, 2, 1, 2, 3, 4, 1, 2, 1, 0, 3, 0, 4, 4, 3, 1, 3, 1, 3, 1, 0, 2, 1, 2, 0, 0, 4, 4, 4, 2, 0, 3, 2, 1, 2, 0, 4, 1, 1, 4, 4, 4, 4, 4, 2, 4, 3, 2, 1, 4, 0, 1, 4, 0, 0, 1, 3, 2, 0, 2, 4, 4, 1, 0, 3, 2, 0, 1, 4, 3, 1, 1, 1, 4, 3, 0, 1, 4, 3, 3, 1, 2, 3, 1, 1, 3, 0, 1, 2, 0, 0, 1, 0, 3, 2, 0, 0, 0, 3, 0, 2, 4, 3, 1, 3, 1, 2, 1, 3, 2, 0, 1, 4, 2, 1, 2, 3, 1, 1, 3, 0, 1, 3, 2, 0, 0, 2, 4, 4, 4, 3, 3, 2, 1, 4, 3, 1, 0, 1, 0, 3, 3, 2, 4, 4, 0, 4, 2, 1, 4, 4, 4, 1, 2, 4, 3, 4, 2, 1, 3, 3, 0, 2, 3, 2, 0, 2, 3, 1, 0, 0, 4, 0, 1, 2, 2, 0, 2, 1, 4, 4, 0, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 0, 3, 3, 4, 2, 2, 2, 3, 4, 3, 0, 2, 2, 3, 4, 3, 1, 1, 3, 0, 2, 4, 1, 2, 3, 2, 1, 0, 0, 4, 4, 0, 4, 3, 0, 2, 4, 1, 4, 3, 4, 4, 3, 0, 4, 2, 4, 2, 1, 4, 4, 4, 2, 1, 4, 3, 1, 3, 0, 1, 3, 2, 3, 1, 3, 2, 0, 2, 0, 4, 2, 2, 1, 4, 2, 3, 4, 0, 0, 1, 0, 2, 2, 0, 3, 4, 3, 3, 3, 1, 2, 0, 1, 3, 0, 4, 3, 1, 2, 1, 4, 2, 4, 0, 0, 4, 0, 2, 1, 2, 4, 0, 0, 0, 3, 4, 2, 3, 4, 1, 2, 3, 0, 1, 2, 2, 4, 3, 2, 3, 2, 2, 4, 0, 3, 2, 1, 3, 0, 2, 4, 2, 2, 1, 3, 0, 2, 2, 2, 2, 2, 3, 3, 4, 2, 4, 0, 4, 3, 4, 4, 4, 2, 0, 2, 0, 0, 4, 1, 0, 4, 4, 4, 2, 4, 4, 0, 3, 3, 3, 1, 1, 0, 3, 4, 4, 3, 2, 4, 2, 0]
pubkeycol768 = [1, 2, 1, 2, 0, 2, 0, 2, 4, 3, 2, 3, 3, 3, 1, 1, 4, 4, 1, 1, 2, 1, 4, 2, 2, 2, 3, 1, 3, 3, 4, 1, 4, 4, 0, 3, 0, 3, 2, 0, 4, 0, 2, 4, 1, 1, 2, 1, 0, 2, 4, 3, 4, 2, 2, 4, 2, 1, 0, 3, 2, 2, 1, 0, 0, 3, 3, 3, 0, 1, 2, 1, 4, 4, 2, 3, 4, 0, 4, 1, 0, 4, 2, 3, 2, 3, 2, 1, 3, 4, 4, 3, 2, 4, 0, 4, 4, 0, 2, 1, 2, 3, 1, 3, 2, 3, 1, 4, 0, 4, 2, 4, 0, 3, 3, 3, 0, 0, 0, 3, 4, 4, 0, 2, 3, 2, 0, 4, 0, 0, 1, 1, 3, 0, 4, 3, 0, 1, 4, 0, 4, 4, 0, 2, 1, 3, 4, 4, 4, 0, 2, 0, 2, 2, 0, 4, 2, 3, 1, 0, 1, 2, 0, 0, 2, 4, 3, 1, 1, 0, 2, 0, 4, 0, 1, 4, 0, 0, 1, 3, 4, 3, 1, 2, 3, 1, 3, 0, 2, 0, 0, 4, 4, 0, 3, 2, 3, 3, 0, 0, 1, 3, 1, 2, 4, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 4, 2, 4, 3, 2, 4, 3, 2, 1, 2, 4, 0, 4, 1, 2, 4, 3, 3, 1, 2, 1, 4, 0, 2, 2, 2, 0, 3, 3, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 1, 1, 3, 4, 1, 0, 1, 0, 1, 3, 4, 2, 4, 0, 0, 4, 4, 1, 3, 2, 2, 4, 3, 1, 2, 1, 1, 0, 3, 3, 3, 1, 0, 4, 3, 3, 2, 0, 0, 1, 4, 1, 1, 4, 2, 4, 0, 2, 4, 4, 4, 4, 2, 0, 2, 0, 0, 2, 4, 4, 2, 2, 0, 2, 4, 1, 3, 1, 2, 2, 3, 1, 3, 3, 4, 2, 1, 2, 0, 1, 2, 2, 3, 4, 1, 1, 1, 2, 0, 4, 4, 1, 2, 0, 3, 1, 4, 3, 3, 0, 4, 0, 3, 2, 3, 2, 4, 1, 3, 3, 0, 4, 4, 4, 3, 1, 2, 1, 4, 2, 4, 4, 2, 3, 0, 4, 3, 1, 4, 0, 3, 3, 3, 1, 4, 4, 0, 1, 1, 3]
pubkeycol769 = [3, 2, 0, 4, 4, 2, 1, 2, 4, 0, 3, 0, 2, 4, 0, 2, 2, 4, 0, 0, 2, 3, 4, 0, 3, 4, 1, 4, 3, 4, 4, 3, 2, 1, 3, 4, 2, 1, 4, 3, 2, 1, 4, 4, 1, 3, 0, 1, 3, 4, 4, 1, 3, 2, 4, 3, 3, 3, 2, 1, 0, 1, 2, 2, 2, 0, 2, 3, 4, 0, 2, 3, 0, 1, 2, 3, 3, 4, 2, 1, 0, 0, 4, 1, 0, 2, 0, 4, 3, 3, 2, 1, 2, 0, 4, 4, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 3, 2, 2, 2, 1, 0, 0, 3, 0, 1, 4, 4, 1, 0, 3, 0, 4, 2, 3, 3, 0, 1, 0, 2, 0, 1, 0, 3, 0, 2, 3, 0, 3, 0, 3, 0, 1, 3, 3, 2, 2, 0, 2, 1, 1, 3, 0, 2, 2, 0, 3, 0, 0, 4, 4, 1, 3, 2, 2, 0, 0, 0, 4, 4, 2, 2, 0, 1, 1, 0, 3, 1, 2, 3, 2, 1, 0, 0, 2, 0, 4, 4, 4, 1, 4, 3, 2, 0, 4, 2, 1, 0, 3, 1, 4, 2, 1, 0, 2, 2, 0, 2, 0, 3, 2, 4, 1, 1, 4, 1, 4, 4, 0, 0, 4, 3, 3, 4, 2, 2, 1, 3, 3, 1, 1, 3, 1, 0, 4, 2, 1, 2, 3, 4, 1, 4, 3, 2, 3, 3, 0, 4, 2, 4, 3, 2, 2, 3, 0, 0, 0, 4, 3, 3, 0, 2, 2, 3, 3, 1, 3, 4, 4, 4, 4, 4, 3, 3, 2, 4, 0, 3, 3, 2, 2, 3, 4, 3, 3, 0, 3, 3, 0, 0, 3, 4, 3, 0, 3, 2, 4, 3, 4, 1, 3, 2, 0, 4, 1, 2, 1, 1, 1, 2, 4, 2, 0, 0, 2, 1, 4, 0, 2, 4, 3, 4, 0, 4, 4, 4, 4, 1, 3, 1, 2, 3, 4, 1, 0, 2, 1, 4, 2, 2, 0, 2, 3, 0, 3, 4, 2, 2, 1, 3, 0, 0, 3, 4, 1, 2, 1, 4, 3, 3, 2, 1, 3, 1, 3, 4, 1, 4, 0, 0, 1, 3, 3, 0, 0, 3, 4, 2, 3, 1, 3, 1, 1, 1, 4, 2, 4, 2, 1, 0, 0, 3, 4, 3, 3, 3, 3, 0, 2, 3]
pubkeycol770 = [0, 3, 4, 0, 2, 0, 1, 3, 4, 3, 4, 1, 4, 3, 2, 0, 4, 0, 1, 4, 2, 2, 4, 3, 4, 4, 3, 1, 3, 1, 0, 1, 3, 1, 0, 2, 4, 3, 3, 1, 4, 1, 3, 1, 4, 2, 4, 4, 1, 0, 1, 0, 4, 3, 0, 0, 2, 3, 1, 0, 2, 2, 4, 0, 0, 4, 4, 3, 2, 4, 3, 4, 4, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 3, 1, 1, 3, 3, 4, 1, 3, 3, 4, 4, 2, 2, 0, 0, 1, 3, 4, 1, 3, 1, 4, 1, 4, 1, 1, 2, 4, 0, 3, 2, 0, 0, 1, 1, 2, 1, 4, 3, 0, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 0, 0, 2, 0, 3, 0, 0, 4, 2, 2, 3, 4, 2, 4, 2, 0, 2, 0, 3, 0, 1, 3, 1, 1, 1, 4, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 4, 0, 2, 1, 4, 2, 0, 1, 1, 1, 3, 2, 0, 3, 4, 3, 4, 1, 3, 0, 2, 0, 3, 1, 1, 0, 2, 3, 3, 3, 0, 2, 3, 1, 3, 0, 3, 3, 3, 2, 4, 0, 4, 1, 2, 1, 2, 1, 0, 1, 3, 2, 3, 4, 2, 3, 2, 1, 2, 0, 1, 4, 1, 1, 3, 0, 0, 3, 3, 4, 4, 0, 1, 3, 3, 0, 1, 3, 1, 2, 3, 3, 0, 2, 1, 4, 2, 4, 2, 3, 4, 2, 3, 3, 0, 4, 4, 0, 3, 4, 0, 3, 4, 2, 0, 2, 4, 2, 1, 2, 0, 4, 3, 3, 2, 3, 3, 3, 0, 1, 0, 0, 0, 0, 4, 3, 2, 1, 0, 2, 0, 1, 3, 2, 0, 3, 2, 3, 4, 2, 1, 1, 3, 1, 3, 4, 3, 3, 4, 2, 0, 4, 2, 3, 4, 1, 2, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 0, 0, 1, 1, 1, 2, 0, 4, 2, 3, 0, 1, 1, 4, 1, 0, 4, 1, 2, 3, 0, 4, 3, 1, 2, 3, 4, 3, 2, 3, 1, 3, 2, 0, 4, 4, 2, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 0, 2, 0, 2, 1, 4, 2, 4, 3, 4, 1, 2, 1, 3]
pubkeycol771 = [3, 4, 0, 1, 2, 1, 0, 0, 3, 2, 1, 3, 1, 4, 3, 3, 1, 4, 4, 0, 0, 1, 3, 3, 4, 1, 4, 4, 2, 0, 2, 2, 0, 4, 0, 4, 4, 3, 2, 3, 3, 4, 4, 2, 1, 0, 1, 3, 4, 3, 3, 0, 0, 4, 4, 3, 4, 2, 0, 0, 3, 0, 3, 1, 2, 0, 2, 1, 1, 4, 0, 2, 3, 2, 4, 2, 3, 0, 0, 2, 4, 4, 2, 0, 3, 4, 4, 0, 1, 2, 1, 1, 2, 0, 0, 3, 4, 0, 2, 2, 1, 1, 2, 3, 4, 0, 4, 3, 0, 2, 1, 2, 2, 4, 0, 4, 2, 2, 1, 3, 2, 4, 2, 0, 3, 2, 3, 0, 2, 4, 2, 3, 2, 2, 3, 4, 0, 2, 3, 1, 4, 4, 0, 0, 3, 0, 2, 0, 0, 3, 3, 2, 1, 4, 0, 1, 0, 1, 3, 4, 1, 4, 0, 4, 3, 3, 4, 2, 1, 1, 4, 1, 1, 4, 0, 0, 2, 4, 4, 1, 3, 0, 0, 4, 0, 1, 2, 0, 2, 4, 3, 3, 0, 3, 4, 3, 1, 4, 2, 2, 2, 1, 2, 3, 1, 0, 3, 1, 4, 2, 0, 2, 0, 1, 4, 3, 3, 0, 2, 2, 0, 3, 4, 4, 2, 0, 4, 1, 0, 3, 2, 4, 3, 2, 4, 4, 1, 0, 0, 1, 3, 3, 3, 0, 2, 3, 4, 4, 0, 2, 4, 0, 1, 2, 0, 3, 0, 1, 4, 0, 0, 3, 1, 1, 2, 0, 4, 2, 2, 0, 3, 4, 4, 0, 3, 2, 1, 1, 2, 4, 3, 0, 1, 0, 4, 2, 1, 1, 2, 4, 4, 0, 4, 1, 1, 4, 4, 4, 4, 4, 0, 4, 3, 0, 0, 4, 2, 3, 2, 4, 2, 3, 4, 3, 4, 1, 1, 0, 1, 2, 3, 4, 1, 1, 2, 4, 0, 3, 0, 2, 2, 2, 0, 0, 1, 2, 0, 3, 0, 3, 2, 2, 1, 0, 2, 1, 2, 1, 3, 0, 1, 3, 2, 4, 1, 1, 0, 4, 3, 0, 1, 0, 1, 1, 4, 4, 2, 1, 1, 1, 4, 1, 4, 3, 0, 4, 3, 3, 1, 2, 2, 1, 4, 3, 1, 3, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0]
pubkeycol772 = [0, 4, 1, 2, 4, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 2, 4, 4, 0, 1, 4, 3, 0, 0, 4, 1, 0, 3, 2, 1, 1, 0, 0, 4, 3, 1, 3, 0, 0, 4, 4, 1, 3, 3, 4, 4, 3, 3, 1, 0, 3, 2, 2, 2, 2, 0, 1, 2, 3, 4, 4, 4, 0, 0, 2, 4, 0, 3, 4, 3, 0, 4, 1, 2, 2, 3, 4, 1, 4, 4, 1, 0, 1, 1, 3, 1, 0, 3, 0, 0, 1, 0, 1, 0, 3, 4, 0, 0, 3, 0, 4, 1, 3, 1, 2, 1, 4, 0, 1, 1, 1, 0, 3, 3, 0, 4, 1, 2, 4, 0, 2, 0, 3, 0, 3, 1, 0, 3, 2, 0, 2, 4, 0, 2, 0, 4, 0, 1, 1, 0, 4, 0, 1, 3, 3, 3, 0, 1, 1, 2, 1, 3, 3, 4, 1, 3, 3, 3, 4, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 3, 1, 1, 1, 2, 4, 4, 3, 3, 4, 2, 4, 1, 1, 4, 1, 1, 0, 4, 1, 1, 3, 0, 2, 3, 3, 4, 3, 2, 3, 2, 3, 1, 0, 1, 4, 3, 0, 1, 2, 2, 2, 2, 4, 3, 4, 3, 4, 4, 1, 0, 4, 3, 1, 2, 1, 1, 0, 4, 3, 2, 0, 2, 2, 4, 3, 1, 2, 3, 3, 1, 2, 4, 3, 2, 3, 0, 1, 1, 3, 0, 3, 1, 1, 4, 4, 3, 1, 3, 3, 2, 2, 3, 0, 0, 4, 2, 0, 0, 2, 4, 2, 3, 4, 1, 1, 0, 2, 0, 0, 3, 0, 0, 3, 1, 1, 4, 0, 2, 2, 0, 3, 4, 2, 3, 0, 3, 0, 4, 4, 2, 4, 4, 3, 0, 0, 1, 0, 1, 0, 4, 2, 3, 0, 3, 0, 3, 2, 4, 3, 3, 3, 2, 0, 0, 2, 1, 4, 0, 0, 3, 2, 0, 2, 3, 3, 4, 0, 4, 4, 0, 1, 4, 2, 2, 4, 2, 4, 1, 0, 1, 4, 3, 0, 3, 2, 1, 3, 3, 1, 1, 4, 4, 4, 1, 1, 2, 4, 2, 1, 1, 2, 1, 3, 2, 0, 1, 2, 1, 3, 3, 1, 3, 0, 3, 1, 3, 4, 3, 0, 4, 4, 2, 0, 0]
pubkeycol773 = [2, 3, 4, 1, 1, 0, 2, 4, 4, 3, 2, 2, 4, 1, 3, 1, 2, 4, 2, 0, 0, 1, 3, 4, 3, 2, 0, 0, 3, 2, 2, 1, 0, 3, 2, 3, 0, 4, 0, 3, 1, 1, 1, 4, 0, 1, 4, 0, 4, 3, 4, 4, 3, 0, 2, 0, 2, 3, 1, 0, 0, 4, 4, 4, 0, 3, 2, 1, 2, 1, 3, 3, 2, 0, 1, 2, 4, 3, 0, 2, 3, 3, 3, 4, 0, 1, 1, 4, 2, 2, 4, 0, 2, 3, 0, 3, 3, 4, 4, 0, 3, 2, 3, 0, 1, 4, 2, 1, 3, 0, 4, 2, 4, 3, 0, 0, 1, 0, 4, 2, 0, 1, 1, 4, 1, 3, 3, 0, 4, 3, 2, 3, 0, 2, 1, 0, 1, 2, 1, 0, 3, 4, 2, 3, 0, 0, 0, 1, 3, 0, 4, 0, 2, 4, 0, 4, 3, 2, 3, 3, 1, 3, 2, 0, 0, 1, 1, 4, 0, 3, 1, 2, 3, 4, 2, 1, 1, 0, 0, 0, 3, 0, 3, 1, 3, 3, 3, 3, 1, 0, 4, 3, 3, 3, 0, 2, 3, 0, 4, 3, 4, 0, 1, 3, 3, 3, 3, 2, 2, 0, 4, 1, 1, 2, 3, 4, 0, 3, 0, 4, 3, 0, 3, 0, 4, 0, 2, 2, 4, 0, 1, 3, 2, 4, 2, 3, 2, 1, 1, 1, 2, 0, 3, 3, 1, 4, 0, 3, 2, 0, 1, 3, 0, 1, 3, 3, 1, 2, 0, 0, 3, 3, 1, 4, 1, 3, 4, 2, 4, 0, 3, 4, 1, 2, 4, 0, 2, 1, 2, 3, 1, 4, 3, 0, 3, 0, 0, 4, 0, 1, 0, 2, 1, 1, 3, 4, 1, 1, 4, 4, 2, 0, 4, 4, 4, 0, 1, 1, 3, 3, 3, 0, 2, 0, 3, 2, 0, 1, 4, 0, 2, 0, 2, 0, 2, 3, 4, 4, 2, 3, 3, 1, 4, 3, 2, 3, 0, 1, 1, 2, 2, 3, 2, 3, 0, 4, 3, 3, 0, 0, 3, 4, 2, 1, 1, 3, 1, 3, 0, 4, 1, 2, 1, 4, 3, 1, 2, 4, 2, 2, 2, 1, 2, 3, 1, 3, 1, 1, 3, 4, 4, 0, 3, 3, 0, 2, 4, 2, 3, 2, 1, 2, 3, 2, 0, 2, 3, 0, 1, 2]
pubkeycol774 = [1, 1, 2, 2, 4, 4, 1, 4, 2, 3, 0, 1, 1, 0, 0, 3, 1, 2, 4, 3, 1, 2, 2, 0, 4, 0, 2, 4, 3, 1, 1, 1, 3, 0, 3, 4, 2, 3, 3, 1, 1, 1, 4, 4, 2, 0, 2, 3, 3, 2, 1, 3, 4, 0, 2, 1, 2, 4, 2, 1, 2, 4, 2, 3, 1, 3, 2, 2, 0, 2, 4, 4, 0, 4, 2, 3, 0, 3, 3, 4, 1, 3, 2, 4, 2, 3, 2, 2, 0, 1, 1, 3, 4, 1, 4, 2, 1, 4, 0, 4, 3, 1, 2, 0, 2, 3, 1, 0, 3, 0, 0, 4, 2, 0, 1, 3, 3, 1, 3, 4, 4, 2, 4, 2, 2, 1, 3, 4, 0, 1, 1, 2, 1, 2, 4, 1, 0, 1, 3, 2, 2, 2, 1, 2, 4, 3, 1, 0, 1, 3, 2, 1, 4, 4, 4, 0, 3, 1, 4, 2, 0, 3, 0, 4, 4, 0, 1, 4, 1, 1, 4, 4, 1, 4, 3, 4, 4, 3, 3, 0, 1, 1, 4, 4, 0, 4, 4, 0, 3, 2, 4, 1, 1, 1, 4, 0, 3, 3, 4, 1, 2, 0, 0, 3, 0, 1, 2, 2, 3, 0, 0, 3, 2, 3, 3, 0, 2, 0, 4, 1, 1, 3, 3, 0, 1, 3, 3, 4, 3, 3, 4, 2, 1, 3, 0, 0, 4, 4, 1, 1, 3, 1, 3, 0, 3, 1, 1, 2, 4, 4, 4, 0, 4, 1, 1, 4, 0, 1, 0, 3, 1, 3, 1, 4, 4, 0, 2, 0, 1, 4, 1, 3, 1, 4, 1, 2, 3, 4, 0, 4, 3, 1, 4, 3, 2, 3, 2, 0, 2, 4, 4, 0, 1, 1, 3, 2, 4, 1, 1, 1, 2, 3, 2, 4, 2, 3, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 4, 2, 2, 3, 3, 2, 0, 1, 1, 0, 3, 2, 3, 0, 4, 0, 4, 2, 2, 3, 1, 0, 4, 0, 1, 0, 4, 2, 3, 2, 2, 3, 0, 4, 4, 0, 1, 3, 1, 4, 3, 0, 2, 0, 1, 1, 4, 4, 4, 2, 0, 4, 3, 1, 0, 1, 0, 3, 1, 4, 4, 0, 2, 2, 0, 1, 1, 2, 4, 4, 2, 3, 1, 3, 2, 0, 1, 3, 3, 3, 0, 3, 3, 3]
pubkeycol775 = [1, 2, 4, 2, 2, 2, 0, 0, 1, 0, 1, 4, 0, 1, 2, 2, 1, 1, 4, 3, 2, 4, 1, 1, 1, 1, 3, 2, 4, 4, 0, 3, 2, 4, 1, 4, 3, 1, 1, 3, 2, 2, 1, 1, 4, 1, 3, 4, 1, 1, 4, 1, 3, 2, 3, 2, 1, 1, 4, 1, 3, 4, 3, 3, 4, 2, 1, 4, 3, 2, 1, 2, 2, 0, 3, 2, 2, 2, 3, 2, 4, 1, 0, 3, 3, 0, 0, 3, 0, 1, 3, 0, 1, 4, 2, 3, 2, 0, 3, 1, 4, 2, 2, 4, 0, 2, 1, 3, 0, 1, 4, 2, 0, 0, 4, 3, 1, 1, 1, 4, 3, 4, 2, 3, 0, 0, 3, 0, 4, 3, 0, 0, 0, 2, 3, 1, 0, 2, 3, 2, 4, 1, 0, 0, 1, 0, 3, 3, 0, 4, 4, 0, 3, 1, 1, 4, 2, 3, 4, 0, 0, 4, 0, 3, 2, 3, 3, 2, 1, 0, 1, 2, 2, 2, 2, 2, 3, 4, 0, 0, 0, 0, 3, 0, 1, 4, 0, 3, 3, 3, 2, 2, 1, 3, 2, 2, 0, 3, 3, 1, 1, 1, 3, 2, 1, 2, 3, 3, 3, 2, 0, 2, 3, 1, 0, 0, 3, 1, 2, 1, 1, 3, 4, 3, 4, 3, 0, 1, 3, 0, 0, 1, 1, 0, 4, 1, 2, 3, 0, 0, 3, 0, 3, 3, 0, 1, 0, 1, 2, 2, 3, 1, 4, 4, 4, 3, 4, 1, 3, 0, 3, 4, 1, 4, 1, 2, 4, 0, 4, 3, 4, 3, 4, 0, 2, 0, 2, 4, 0, 1, 3, 0, 4, 4, 0, 1, 2, 2, 3, 0, 2, 3, 2, 1, 4, 2, 2, 3, 4, 0, 3, 4, 2, 3, 0, 1, 1, 4, 3, 1, 3, 2, 1, 4, 0, 1, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 4, 1, 1, 1, 4, 3, 3, 1, 2, 3, 4, 2, 4, 2, 1, 1, 1, 0, 1, 0, 0, 1, 4, 0, 0, 2, 4, 1, 3, 2, 0, 0, 1, 1, 2, 1, 3, 1, 0, 1, 2, 2, 1, 3, 4, 1, 0, 4, 0, 4, 3, 1, 2, 2, 0, 3, 2, 4, 0, 4, 3, 1, 1, 4, 2, 3, 4, 2, 0, 0, 1, 0, 1, 2]
pubkeycol776 = [1, 1, 3, 3, 3, 0, 4, 2, 4, 4, 0, 4, 3, 4, 4, 0, 4, 1, 0, 1, 2, 3, 3, 4, 1, 1, 1, 4, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 2, 1, 4, 2, 3, 3, 4, 1, 0, 0, 0, 3, 2, 2, 2, 4, 0, 2, 3, 2, 1, 0, 1, 1, 1, 0, 4, 0, 3, 3, 4, 0, 3, 4, 0, 4, 3, 2, 0, 1, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 3, 1, 0, 3, 3, 4, 0, 4, 4, 4, 3, 3, 0, 2, 4, 4, 2, 2, 1, 3, 0, 3, 1, 3, 0, 2, 4, 3, 1, 3, 0, 3, 1, 3, 1, 0, 3, 4, 4, 2, 3, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 4, 2, 2, 2, 3, 3, 3, 1, 4, 0, 1, 3, 3, 4, 3, 3, 4, 4, 0, 1, 4, 0, 2, 2, 1, 4, 1, 0, 0, 1, 1, 2, 4, 0, 1, 0, 3, 3, 2, 1, 1, 4, 0, 1, 4, 2, 2, 0, 1, 3, 2, 4, 1, 2, 2, 2, 1, 4, 4, 3, 3, 2, 3, 2, 0, 4, 0, 3, 1, 0, 4, 2, 1, 4, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 3, 4, 0, 1, 2, 4, 1, 4, 2, 3, 2, 3, 4, 3, 4, 0, 2, 3, 4, 1, 2, 1, 1, 4, 2, 1, 2, 2, 1, 2, 0, 2, 3, 1, 0, 1, 1, 1, 4, 1, 0, 4, 2, 2, 4, 4, 1, 1, 3, 1, 0, 3, 4, 0, 3, 3, 1, 3, 1, 2, 3, 1, 3, 4, 3, 1, 3, 2, 1, 3, 1, 1, 2, 4, 4, 4, 1, 4, 4, 3, 4, 1, 2, 0, 3, 3, 4, 1, 1, 0, 3, 3, 3, 4, 2, 3, 2, 1, 4, 4, 1, 2, 2, 3, 1, 4, 0, 0, 2, 3, 3, 3, 2, 0, 2, 2, 1, 4, 0, 1, 1, 3, 1, 4, 4, 4, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 4, 4, 3, 4, 2, 3, 3, 2, 0, 0, 3, 4, 1, 4, 2, 3, 1, 2, 1, 1, 3, 3, 2, 4, 0, 4, 0, 1, 2, 0, 2, 4, 3, 3]
pubkeycol777 = [1, 0, 2, 0, 0, 4, 3, 2, 4, 4, 1, 0, 1, 2, 4, 2, 1, 3, 1, 0, 4, 4, 3, 1, 4, 4, 2, 0, 4, 3, 0, 3, 0, 0, 3, 1, 1, 0, 1, 2, 0, 2, 4, 2, 0, 1, 2, 4, 1, 4, 2, 1, 3, 0, 3, 1, 2, 0, 2, 2, 0, 4, 1, 1, 4, 4, 2, 0, 3, 3, 2, 0, 2, 2, 4, 0, 3, 0, 0, 2, 1, 4, 2, 4, 2, 4, 4, 3, 1, 1, 3, 1, 2, 3, 0, 2, 2, 1, 0, 0, 4, 3, 2, 2, 1, 2, 4, 2, 4, 0, 2, 2, 0, 1, 2, 4, 3, 2, 3, 1, 2, 3, 4, 4, 0, 4, 2, 1, 0, 4, 4, 2, 3, 0, 1, 0, 1, 0, 0, 3, 3, 4, 1, 2, 0, 2, 0, 2, 1, 0, 4, 2, 0, 1, 4, 4, 3, 2, 2, 2, 1, 3, 2, 1, 1, 2, 4, 2, 1, 0, 0, 3, 4, 0, 4, 1, 1, 0, 1, 2, 4, 3, 4, 4, 3, 1, 0, 0, 4, 1, 3, 0, 0, 1, 0, 4, 3, 2, 2, 0, 3, 0, 1, 3, 2, 4, 0, 4, 3, 4, 4, 0, 4, 0, 3, 2, 4, 4, 1, 1, 4, 4, 2, 2, 0, 0, 3, 1, 2, 2, 4, 4, 2, 0, 3, 4, 2, 0, 3, 1, 0, 2, 0, 4, 1, 0, 2, 3, 4, 3, 2, 0, 1, 0, 1, 4, 4, 2, 1, 2, 4, 1, 0, 4, 3, 3, 3, 3, 3, 1, 2, 1, 4, 0, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 0, 3, 1, 1, 3, 3, 3, 4, 4, 2, 3, 1, 2, 3, 4, 3, 0, 0, 4, 0, 2, 3, 0, 2, 2, 0, 0, 1, 1, 0, 0, 3, 0, 4, 1, 0, 4, 3, 0, 0, 1, 2, 4, 0, 2, 3, 2, 4, 2, 2, 2, 0, 1, 3, 0, 2, 4, 0, 2, 3, 4, 1, 1, 0, 2, 3, 0, 2, 1, 2, 4, 3, 1, 4, 1, 2, 2, 1, 2, 1, 3, 0, 3, 4, 2, 3, 3, 1, 4, 1, 1, 1, 3, 4, 0, 0, 4, 3, 0, 4, 4, 0, 1, 4, 3, 1, 2, 4, 3, 3, 0, 0, 4]
pubkeycol778 = [1, 2, 3, 4, 2, 4, 0, 1, 0, 2, 4, 1, 3, 3, 0, 2, 0, 4, 2, 0, 0, 3, 1, 0, 3, 4, 3, 1, 2, 3, 2, 1, 4, 4, 0, 4, 3, 2, 2, 1, 3, 4, 1, 2, 0, 1, 3, 3, 3, 1, 1, 2, 2, 4, 0, 4, 1, 2, 0, 0, 4, 3, 2, 2, 4, 4, 2, 4, 1, 3, 0, 1, 0, 1, 0, 3, 2, 3, 3, 1, 4, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 1, 2, 4, 2, 3, 4, 1, 1, 4, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 0, 0, 2, 1, 3, 2, 3, 3, 3, 4, 3, 2, 4, 1, 0, 1, 0, 2, 0, 1, 2, 2, 3, 2, 2, 3, 2, 2, 2, 0, 4, 0, 4, 2, 1, 2, 4, 3, 4, 3, 0, 2, 4, 0, 0, 3, 2, 3, 3, 1, 2, 1, 4, 2, 2, 0, 0, 1, 2, 0, 2, 0, 4, 2, 1, 1, 2, 2, 4, 2, 0, 2, 3, 4, 3, 3, 3, 4, 2, 3, 2, 0, 3, 0, 4, 0, 0, 0, 2, 0, 1, 3, 0, 2, 4, 2, 0, 1, 2, 4, 0, 3, 4, 3, 4, 1, 2, 4, 1, 4, 0, 4, 4, 4, 1, 0, 0, 4, 2, 4, 3, 3, 4, 2, 1, 3, 2, 2, 4, 1, 3, 3, 1, 3, 4, 4, 1, 2, 4, 0, 3, 1, 0, 4, 4, 2, 4, 2, 2, 4, 3, 1, 1, 3, 0, 2, 2, 1, 3, 1, 3, 1, 3, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 3, 1, 2, 1, 4, 1, 1, 1, 3, 2, 2, 3, 1, 4, 2, 4, 2, 2, 2, 0, 4, 1, 2, 2, 1, 0, 1, 3, 2, 2, 2, 1, 0, 1, 4, 3, 4, 2, 3, 4, 3, 1, 2, 0, 1, 2, 4, 2, 2, 4, 3, 1, 0, 1, 3, 4, 2, 2, 1, 0, 4, 4, 3, 3, 2, 4, 4, 0, 2, 2, 3, 2, 1, 0, 3, 3, 0, 3, 2, 1, 2, 0, 3, 4, 2, 1, 2, 4, 0, 1, 2, 4, 3, 1, 3, 0, 1, 1, 2, 3, 1, 3, 2, 0, 1, 4, 1, 4, 4, 2, 1, 1, 1, 2]
pubkeycol779 = [4, 2, 3, 3, 3, 2, 3, 2, 1, 2, 0, 1, 0, 1, 2, 3, 3, 0, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 3, 1, 0, 1, 1, 1, 0, 3, 1, 3, 4, 3, 3, 3, 1, 4, 3, 3, 3, 0, 2, 1, 1, 2, 2, 4, 4, 2, 0, 4, 1, 2, 0, 4, 1, 2, 3, 4, 4, 2, 0, 2, 3, 3, 3, 3, 1, 3, 4, 4, 2, 1, 4, 0, 4, 3, 0, 3, 2, 1, 0, 0, 4, 0, 3, 4, 0, 2, 1, 3, 3, 3, 3, 2, 4, 1, 2, 2, 1, 0, 1, 2, 1, 3, 1, 4, 4, 3, 1, 4, 2, 3, 2, 4, 3, 2, 1, 4, 3, 2, 3, 3, 3, 1, 1, 0, 1, 4, 3, 1, 4, 2, 4, 4, 4, 3, 1, 3, 2, 3, 0, 1, 4, 0, 0, 3, 4, 4, 0, 4, 3, 4, 1, 3, 3, 1, 3, 2, 0, 1, 0, 1, 4, 3, 0, 0, 2, 1, 0, 4, 2, 1, 4, 0, 3, 4, 3, 3, 3, 0, 4, 4, 1, 0, 2, 1, 0, 2, 2, 1, 2, 3, 4, 2, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 4, 2, 2, 0, 4, 1, 4, 0, 4, 4, 0, 1, 0, 4, 2, 0, 0, 1, 1, 1, 4, 3, 2, 3, 3, 0, 4, 2, 3, 3, 1, 3, 0, 4, 4, 2, 0, 4, 4, 3, 0, 1, 1, 3, 3, 1, 4, 4, 1, 3, 1, 2, 4, 4, 4, 0, 3, 4, 1, 4, 3, 1, 1, 1, 1, 4, 3, 1, 2, 4, 0, 3, 3, 4, 3, 3, 0, 0, 1, 1, 0, 3, 2, 1, 4, 4, 0, 3, 0, 0, 4, 0, 3, 4, 4, 0, 2, 3, 1, 4, 1, 3, 1, 2, 1, 0, 1, 2, 2, 0, 4, 0, 3, 3, 4, 2, 4, 2, 0, 1, 0, 3, 2, 0, 1, 4, 4, 2, 1, 3, 1, 3, 3, 0, 4, 4, 2, 3, 3, 0, 2, 4, 3, 4, 4, 3, 3, 0, 2, 3, 0, 0, 4, 3, 2, 1, 3, 3, 2, 0, 2, 2, 4, 4, 4, 2, 1, 4, 4, 1, 1, 3, 0, 2, 0, 2, 0, 2, 4, 1, 0, 4, 3, 3, 2, 2, 3, 0]
pubkeycol780 = [4, 0, 3, 2, 1, 0, 3, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 2, 3, 2, 2, 2, 4, 3, 1, 3, 3, 4, 2, 0, 2, 2, 3, 2, 3, 3, 2, 0, 4, 0, 0, 4, 1, 3, 1, 0, 1, 4, 3, 3, 3, 1, 2, 3, 1, 0, 2, 0, 0, 4, 4, 4, 0, 3, 0, 3, 4, 0, 3, 2, 1, 1, 0, 2, 1, 4, 3, 2, 2, 1, 3, 1, 3, 3, 1, 3, 4, 4, 4, 4, 3, 0, 0, 3, 2, 4, 2, 4, 4, 2, 2, 1, 0, 3, 1, 0, 3, 1, 2, 1, 0, 4, 4, 0, 2, 1, 0, 3, 0, 1, 0, 2, 2, 2, 4, 2, 4, 3, 2, 4, 0, 4, 3, 2, 3, 0, 2, 0, 2, 4, 4, 3, 2, 0, 1, 3, 0, 2, 0, 4, 3, 1, 0, 1, 0, 1, 1, 3, 1, 3, 1, 0, 2, 3, 2, 0, 1, 2, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 2, 3, 3, 3, 4, 4, 1, 0, 2, 3, 4, 4, 0, 4, 0, 4, 3, 0, 0, 1, 4, 1, 1, 4, 0, 0, 2, 1, 0, 3, 1, 2, 2, 0, 1, 1, 2, 4, 1, 4, 2, 4, 0, 3, 2, 0, 1, 4, 0, 3, 0, 3, 2, 0, 1, 3, 4, 4, 3, 3, 4, 0, 0, 1, 1, 0, 2, 4, 2, 2, 4, 3, 2, 1, 3, 4, 0, 0, 1, 1, 0, 1, 1, 4, 0, 0, 3, 4, 0, 3, 2, 2, 3, 1, 1, 0, 2, 3, 2, 0, 4, 2, 3, 0, 4, 3, 1, 4, 1, 1, 3, 4, 4, 2, 2, 1, 3, 0, 3, 4, 1, 0, 4, 2, 0, 0, 4, 3, 1, 4, 4, 2, 2, 2, 0, 1, 0, 2, 3, 3, 3, 2, 3, 0, 1, 0, 0, 2, 1, 4, 4, 4, 1, 4, 4, 3, 3, 3, 4, 1, 3, 1, 1, 2, 1, 0, 2, 2, 2, 4, 4, 3, 3, 4, 1, 4, 2, 0, 1, 1, 2, 0, 2, 2, 0, 4, 3, 1, 0, 3, 4, 0, 0, 2, 1, 1, 2, 2, 0, 2, 3, 2, 3, 1, 4, 3, 3, 1, 4, 0, 1, 0, 3, 1, 3, 3, 1, 1, 3, 1, 1]
pubkeycol781 = [2, 0, 3, 3, 1, 3, 2, 3, 0, 3, 3, 4, 0, 4, 2, 4, 2, 0, 1, 1, 2, 3, 3, 2, 1, 1, 0, 2, 4, 2, 0, 4, 3, 2, 1, 3, 2, 0, 1, 4, 1, 4, 1, 1, 3, 1, 1, 0, 3, 3, 1, 2, 0, 2, 3, 1, 1, 0, 0, 3, 4, 0, 4, 2, 2, 2, 1, 0, 1, 2, 2, 3, 1, 0, 3, 1, 4, 2, 3, 0, 2, 4, 4, 0, 3, 0, 2, 4, 0, 3, 4, 3, 0, 4, 3, 4, 3, 3, 4, 4, 4, 1, 4, 3, 1, 1, 3, 3, 4, 3, 2, 0, 1, 2, 1, 3, 1, 4, 0, 0, 4, 1, 2, 3, 2, 3, 1, 1, 2, 4, 4, 4, 2, 3, 2, 0, 3, 1, 4, 0, 4, 4, 3, 3, 2, 2, 4, 1, 4, 3, 1, 3, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 4, 2, 4, 1, 4, 2, 4, 4, 2, 3, 4, 1, 0, 1, 2, 3, 1, 0, 0, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 4, 4, 4, 4, 3, 1, 4, 3, 0, 3, 1, 3, 4, 1, 3, 2, 3, 4, 3, 1, 2, 2, 4, 1, 3, 3, 3, 1, 3, 1, 1, 0, 0, 1, 0, 4, 2, 0, 1, 3, 4, 2, 2, 2, 0, 3, 3, 0, 2, 1, 1, 0, 2, 0, 2, 3, 4, 3, 4, 0, 0, 3, 3, 1, 1, 2, 3, 2, 0, 2, 4, 3, 0, 3, 1, 2, 1, 0, 3, 4, 2, 4, 0, 2, 4, 2, 3, 0, 3, 1, 2, 4, 4, 3, 1, 3, 1, 2, 2, 1, 4, 1, 3, 4, 4, 1, 0, 1, 1, 1, 0, 1, 3, 2, 1, 2, 2, 0, 0, 1, 3, 4, 1, 0, 2, 0, 4, 0, 2, 3, 1, 0, 3, 1, 4, 2, 0, 1, 4, 4, 4, 4, 1, 2, 0, 4, 1, 2, 0, 0, 4, 2, 3, 0, 2, 2, 1, 0, 3, 4, 1, 0, 1, 3, 2, 3, 0, 3, 4, 3, 4, 1, 1, 3, 3, 0, 3, 1, 4, 4, 1, 3, 4, 3, 1, 0, 3, 3, 2, 0, 1, 4]
pubkeycol782 = [2, 2, 4, 4, 0, 3, 2, 2, 3, 0, 2, 0, 2, 3, 2, 1, 0, 3, 3, 3, 3, 1, 1, 2, 4, 1, 3, 2, 4, 0, 0, 1, 4, 0, 3, 3, 3, 0, 3, 3, 2, 4, 4, 1, 3, 2, 4, 4, 1, 4, 1, 1, 4, 2, 0, 3, 3, 3, 1, 3, 4, 1, 3, 3, 2, 3, 1, 3, 4, 0, 4, 3, 0, 3, 1, 4, 4, 3, 2, 4, 3, 0, 3, 2, 1, 4, 0, 4, 3, 1, 3, 3, 4, 0, 1, 2, 4, 4, 0, 4, 0, 0, 0, 1, 3, 0, 4, 2, 3, 1, 1, 1, 4, 1, 4, 1, 4, 2, 3, 4, 4, 4, 4, 0, 0, 3, 0, 0, 3, 4, 0, 2, 0, 4, 2, 1, 3, 0, 2, 4, 4, 3, 3, 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 2, 1, 1, 3, 1, 1, 0, 2, 3, 2, 1, 4, 0, 3, 1, 4, 0, 2, 0, 4, 3, 0, 3, 0, 1, 3, 4, 1, 4, 2, 2, 0, 1, 0, 0, 3, 3, 3, 1, 3, 1, 2, 1, 2, 3, 0, 2, 0, 0, 0, 1, 4, 0, 0, 3, 3, 1, 0, 2, 1, 3, 4, 4, 4, 3, 1, 0, 0, 3, 0, 0, 3, 0, 2, 1, 4, 0, 2, 4, 3, 0, 2, 2, 3, 1, 0, 3, 2, 0, 1, 3, 0, 0, 4, 1, 2, 0, 3, 4, 3, 1, 3, 1, 0, 2, 1, 3, 2, 0, 4, 4, 3, 3, 4, 3, 1, 0, 3, 4, 2, 4, 2, 0, 2, 4, 4, 1, 2, 3, 4, 1, 0, 0, 4, 2, 4, 1, 4, 1, 1, 2, 1, 0, 4, 0, 1, 3, 4, 3, 2, 2, 3, 1, 0, 2, 0, 3, 3, 1, 0, 0, 4, 2, 3, 0, 0, 0, 1, 0, 4, 1, 0, 3, 2, 2, 4, 1, 2, 2, 4, 2, 3, 2, 2, 3, 4, 1, 3, 1, 0, 2, 3, 4, 4, 0, 2, 3, 4, 0, 4, 4, 4, 2, 4, 2, 4, 4, 1, 4, 4, 3, 3, 0, 3, 0, 1, 2, 0, 4, 3, 3, 1, 4, 4, 3, 0, 3, 0, 3, 1, 1, 0, 3, 1, 1, 2, 3, 2, 3, 3, 3, 4, 2, 4, 1, 2, 1]
pubkeycol783 = [1, 3, 2, 0, 3, 2, 4, 4, 2, 0, 3, 0, 3, 4, 4, 2, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 3, 3, 1, 4, 1, 4, 1, 4, 2, 1, 1, 1, 3, 3, 2, 3, 1, 3, 2, 4, 2, 0, 1, 0, 4, 3, 1, 1, 0, 4, 2, 3, 2, 0, 2, 1, 1, 0, 3, 4, 3, 4, 0, 3, 2, 1, 4, 1, 1, 3, 3, 2, 0, 1, 1, 3, 3, 1, 4, 3, 1, 0, 3, 0, 1, 0, 2, 4, 1, 1, 3, 1, 4, 2, 1, 4, 2, 3, 0, 3, 1, 4, 2, 4, 4, 4, 1, 4, 4, 0, 0, 1, 4, 0, 3, 1, 1, 4, 4, 1, 2, 3, 2, 2, 3, 2, 0, 1, 4, 0, 1, 3, 4, 1, 1, 3, 2, 3, 1, 2, 1, 1, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 4, 1, 2, 1, 0, 3, 2, 0, 4, 4, 0, 3, 1, 3, 2, 2, 4, 1, 2, 3, 3, 1, 3, 4, 2, 2, 2, 4, 0, 1, 0, 1, 0, 1, 2, 3, 4, 1, 1, 2, 4, 3, 4, 0, 1, 2, 2, 4, 1, 0, 4, 3, 1, 4, 1, 2, 0, 1, 3, 2, 0, 3, 2, 0, 1, 0, 0, 3, 1, 3, 1, 0, 4, 0, 0, 0, 3, 1, 3, 0, 2, 4, 3, 2, 4, 4, 1, 3, 2, 4, 1, 0, 0, 4, 4, 4, 3, 4, 3, 2, 3, 1, 4, 3, 0, 2, 0, 1, 2, 2, 4, 3, 0, 4, 3, 0, 3, 3, 3, 4, 4, 3, 4, 4, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 4, 1, 0, 0, 4, 4, 4, 1, 1, 4, 3, 3, 3, 1, 2, 0, 1, 0, 3, 3, 3, 0, 1, 1, 4, 0, 2, 2, 2, 2, 0, 3, 0, 3, 1, 3, 0, 4, 0, 3, 4, 3, 2, 4, 2, 1, 4, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 4, 2, 3, 1, 2, 4, 2, 1, 0, 2, 3, 2, 3, 2, 4, 0, 4, 3, 1, 0, 3, 3, 0, 3, 4, 0, 4, 3, 0, 2, 2, 0, 2, 1, 3, 1, 0, 2, 3, 3, 0, 0, 0, 3, 3, 0]
pubkeycol784 = [4, 4, 2, 4, 3, 4, 1, 2, 2, 1, 0, 0, 2, 4, 0, 1, 1, 1, 3, 2, 4, 0, 1, 3, 1, 3, 4, 2, 4, 4, 0, 2, 0, 0, 2, 0, 1, 3, 0, 3, 1, 1, 4, 2, 2, 0, 0, 3, 1, 0, 4, 3, 1, 3, 3, 3, 2, 0, 3, 4, 4, 1, 4, 1, 4, 3, 4, 3, 2, 4, 3, 1, 2, 2, 0, 0, 3, 2, 3, 3, 1, 1, 0, 3, 0, 2, 4, 0, 1, 3, 0, 1, 3, 1, 4, 2, 2, 0, 3, 2, 2, 1, 0, 2, 4, 4, 1, 2, 0, 0, 3, 4, 3, 3, 0, 0, 3, 2, 3, 3, 3, 4, 0, 4, 0, 1, 0, 1, 0, 4, 0, 0, 4, 3, 4, 3, 4, 4, 3, 0, 1, 3, 1, 4, 2, 4, 4, 4, 1, 2, 2, 2, 3, 4, 3, 3, 1, 0, 4, 1, 0, 1, 1, 4, 0, 3, 3, 2, 1, 1, 0, 0, 2, 4, 2, 4, 0, 2, 0, 3, 2, 4, 3, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 3, 2, 3, 0, 2, 4, 4, 3, 0, 1, 3, 3, 0, 2, 2, 0, 2, 3, 1, 0, 2, 1, 4, 3, 2, 1, 1, 4, 1, 2, 1, 2, 1, 2, 4, 0, 0, 3, 3, 3, 0, 0, 4, 2, 1, 2, 1, 0, 4, 3, 1, 4, 2, 2, 4, 1, 1, 0, 0, 2, 0, 0, 4, 3, 0, 4, 3, 2, 3, 0, 3, 2, 2, 2, 0, 4, 4, 4, 4, 3, 3, 1, 3, 2, 1, 3, 3, 1, 2, 2, 3, 1, 4, 2, 1, 1, 0, 0, 0, 0, 3, 4, 2, 2, 1, 0, 0, 4, 2, 4, 1, 0, 4, 0, 2, 3, 4, 3, 1, 2, 0, 2, 1, 4, 4, 0, 2, 3, 4, 1, 3, 2, 1, 4, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 1, 4, 0, 4, 4, 4, 3, 2, 2, 4, 1, 0, 3, 4, 3, 4, 3, 2, 2, 0, 4, 1, 2, 1, 2, 2, 0, 3, 3, 1, 2, 4, 0, 3, 1, 3, 1, 3, 4, 4, 4, 3, 3, 1, 2, 1, 1, 4, 2, 4, 2, 4, 0, 2, 4, 2, 3, 0, 1, 1, 0]
pubkeycol785 = [3, 4, 3, 4, 3, 4, 4, 4, 1, 0, 2, 3, 0, 2, 4, 0, 2, 3, 1, 2, 4, 0, 4, 1, 1, 2, 3, 1, 0, 2, 4, 4, 0, 1, 3, 1, 1, 4, 4, 4, 1, 3, 4, 1, 3, 1, 1, 2, 0, 3, 3, 4, 3, 0, 0, 1, 1, 2, 3, 2, 2, 2, 4, 4, 0, 1, 0, 1, 4, 1, 1, 0, 1, 0, 0, 0, 4, 2, 1, 3, 0, 3, 3, 0, 3, 0, 0, 3, 2, 2, 3, 3, 0, 0, 1, 0, 1, 4, 4, 4, 4, 0, 1, 3, 0, 3, 2, 4, 2, 4, 0, 2, 1, 2, 3, 2, 0, 1, 0, 3, 2, 4, 1, 1, 0, 2, 0, 3, 2, 3, 4, 3, 0, 2, 0, 4, 2, 0, 1, 1, 1, 4, 3, 3, 1, 0, 2, 1, 4, 2, 1, 4, 0, 4, 4, 2, 2, 0, 1, 3, 1, 2, 2, 0, 4, 3, 0, 4, 3, 2, 1, 0, 3, 3, 0, 0, 0, 1, 2, 0, 4, 3, 4, 0, 2, 2, 3, 1, 4, 4, 1, 2, 0, 2, 2, 4, 2, 1, 4, 4, 1, 0, 4, 2, 1, 3, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 4, 4, 0, 0, 2, 4, 1, 1, 4, 1, 0, 4, 1, 1, 2, 1, 1, 4, 1, 0, 1, 0, 2, 3, 3, 2, 4, 0, 1, 2, 0, 0, 2, 0, 1, 4, 0, 0, 4, 2, 3, 0, 2, 1, 3, 3, 3, 2, 4, 0, 0, 0, 1, 4, 3, 3, 3, 1, 4, 2, 0, 2, 3, 3, 0, 2, 1, 1, 3, 0, 3, 3, 2, 2, 1, 1, 1, 4, 3, 3, 2, 2, 0, 2, 2, 2, 1, 2, 4, 3, 2, 3, 3, 3, 0, 3, 4, 4, 4, 2, 4, 4, 1, 2, 4, 2, 2, 1, 4, 3, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 2, 3, 4, 0, 2, 0, 1, 1, 2, 1, 3, 3, 3, 4, 0, 3, 1, 3, 3, 1, 1, 1, 4, 4, 2, 4, 0, 0, 3, 4, 4, 0, 4, 4, 3, 4, 0, 1, 1, 1, 3, 1, 2, 2, 3, 3, 3, 4, 0, 1, 0, 3, 0, 0, 4, 4, 2, 1, 0, 1, 4, 2, 2, 0]
pubkeycol786 = [2, 4, 2, 2, 1, 3, 4, 2, 4, 0, 3, 4, 4, 1, 1, 4, 1, 3, 2, 1, 0, 3, 1, 2, 2, 1, 0, 2, 0, 0, 3, 3, 2, 1, 3, 3, 0, 2, 1, 2, 4, 0, 2, 3, 2, 3, 4, 0, 2, 2, 3, 2, 0, 3, 1, 1, 3, 3, 1, 4, 2, 0, 2, 3, 2, 0, 2, 0, 2, 3, 4, 2, 1, 2, 3, 1, 2, 3, 1, 0, 4, 3, 3, 1, 1, 0, 4, 4, 2, 3, 1, 2, 1, 3, 0, 2, 4, 3, 4, 4, 2, 4, 4, 4, 3, 0, 3, 1, 3, 4, 2, 2, 3, 3, 0, 4, 3, 1, 2, 2, 2, 1, 4, 3, 4, 0, 4, 0, 3, 4, 3, 3, 0, 0, 1, 4, 1, 4, 3, 4, 2, 1, 1, 0, 0, 4, 1, 0, 3, 2, 0, 4, 2, 4, 2, 3, 3, 1, 2, 4, 0, 1, 4, 4, 1, 1, 4, 1, 3, 0, 0, 0, 0, 3, 2, 3, 0, 1, 2, 1, 4, 3, 3, 0, 2, 1, 2, 3, 4, 0, 2, 4, 4, 4, 1, 3, 4, 1, 3, 2, 1, 0, 3, 0, 4, 2, 3, 4, 1, 0, 1, 3, 0, 1, 1, 3, 1, 2, 3, 0, 4, 0, 2, 0, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 3, 2, 0, 3, 1, 3, 4, 4, 0, 3, 3, 0, 0, 1, 1, 1, 3, 1, 0, 2, 3, 1, 0, 3, 2, 2, 1, 3, 0, 4, 4, 3, 2, 3, 2, 3, 0, 2, 0, 0, 2, 1, 4, 0, 3, 4, 0, 1, 2, 1, 3, 1, 3, 4, 3, 3, 0, 2, 3, 4, 1, 2, 1, 1, 4, 1, 3, 3, 1, 3, 4, 1, 3, 4, 4, 3, 3, 2, 3, 4, 0, 2, 2, 3, 1, 2, 0, 2, 3, 4, 4, 1, 3, 2, 3, 4, 2, 2, 1, 2, 0, 0, 1, 3, 0, 2, 4, 0, 1, 1, 1, 3, 0, 4, 0, 3, 4, 1, 1, 1, 0, 1, 4, 2, 3, 0, 2, 1, 2, 3, 4, 1, 2, 2, 3, 3, 0, 0, 1, 3, 1, 3, 3, 4, 3, 0, 1, 3, 4, 1, 3, 0, 1, 3, 1, 3, 4, 3, 0, 1, 0, 2, 1, 2, 4, 4]
pubkeycol787 = [2, 4, 3, 0, 3, 4, 2, 2, 3, 2, 0, 3, 3, 2, 0, 3, 1, 0, 1, 2, 3, 4, 1, 3, 4, 4, 1, 0, 4, 2, 4, 3, 1, 0, 4, 2, 3, 1, 2, 1, 2, 4, 0, 3, 4, 0, 2, 1, 0, 3, 3, 0, 2, 2, 3, 1, 0, 2, 2, 1, 4, 1, 3, 0, 4, 1, 4, 1, 1, 2, 0, 2, 2, 0, 4, 2, 3, 4, 1, 2, 1, 0, 4, 1, 3, 2, 4, 3, 3, 0, 2, 2, 3, 4, 0, 2, 4, 2, 3, 1, 1, 1, 4, 4, 0, 3, 4, 1, 2, 1, 3, 4, 2, 3, 3, 1, 1, 0, 2, 2, 0, 3, 0, 3, 1, 2, 1, 4, 2, 4, 0, 0, 1, 3, 4, 2, 4, 3, 0, 4, 4, 1, 1, 0, 1, 1, 2, 1, 4, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 3, 4, 3, 3, 2, 1, 1, 1, 1, 3, 1, 4, 4, 1, 2, 2, 3, 4, 1, 2, 0, 4, 1, 3, 0, 4, 4, 2, 4, 0, 1, 3, 3, 4, 2, 0, 1, 1, 3, 2, 2, 1, 0, 2, 3, 1, 4, 2, 0, 3, 2, 2, 4, 4, 3, 1, 2, 4, 4, 2, 0, 3, 4, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 0, 4, 0, 2, 4, 0, 1, 3, 1, 4, 0, 1, 2, 3, 4, 3, 1, 3, 2, 2, 2, 1, 2, 4, 1, 1, 4, 3, 2, 4, 0, 0, 4, 0, 1, 3, 1, 3, 1, 4, 3, 4, 4, 4, 1, 0, 3, 0, 3, 4, 3, 4, 0, 2, 0, 3, 3, 4, 4, 4, 2, 2, 2, 3, 4, 0, 3, 4, 0, 4, 4, 1, 1, 2, 2, 0, 3, 1, 2, 0, 2, 4, 3, 3, 0, 0, 1, 0, 4, 2, 4, 2, 1, 4, 4, 4, 3, 3, 1, 2, 0, 1, 3, 2, 4, 2, 2, 1, 3, 1, 1, 2, 3, 1, 4, 3, 1, 0, 3, 0, 0, 1, 1, 4, 4, 1, 2, 0, 3, 0, 0, 0, 4, 4, 4, 1, 4, 0, 0, 1, 3, 2, 4, 2, 4, 2, 4, 1]
pubkeycol788 = [0, 3, 0, 0, 0, 2, 3, 4, 1, 1, 4, 4, 0, 0, 3, 2, 2, 3, 0, 4, 2, 2, 3, 2, 1, 4, 1, 0, 0, 1, 0, 0, 1, 2, 0, 3, 2, 1, 1, 0, 4, 3, 2, 0, 4, 3, 2, 4, 0, 4, 1, 4, 2, 1, 1, 0, 1, 2, 0, 0, 2, 3, 4, 2, 1, 2, 1, 4, 4, 3, 1, 4, 1, 0, 0, 0, 4, 2, 2, 2, 2, 0, 3, 2, 4, 1, 0, 0, 0, 0, 0, 4, 2, 3, 0, 4, 0, 2, 2, 3, 1, 2, 1, 2, 1, 4, 0, 2, 1, 2, 4, 2, 1, 2, 4, 2, 2, 2, 0, 3, 4, 0, 0, 4, 2, 3, 1, 4, 3, 1, 4, 4, 3, 4, 0, 4, 3, 2, 1, 2, 1, 2, 4, 3, 4, 0, 1, 3, 4, 0, 3, 4, 1, 0, 3, 1, 4, 2, 3, 2, 1, 1, 3, 4, 3, 1, 4, 3, 0, 1, 3, 4, 4, 2, 4, 3, 2, 2, 3, 4, 2, 1, 3, 1, 0, 4, 3, 3, 1, 4, 2, 0, 2, 2, 2, 2, 4, 3, 4, 3, 3, 1, 4, 1, 4, 0, 2, 0, 3, 3, 4, 0, 0, 3, 3, 4, 2, 0, 0, 4, 1, 3, 3, 4, 3, 3, 2, 2, 3, 2, 1, 2, 1, 3, 2, 0, 3, 3, 2, 2, 1, 1, 4, 2, 2, 3, 1, 1, 2, 4, 1, 3, 3, 4, 0, 3, 4, 2, 3, 1, 4, 4, 4, 2, 2, 1, 1, 2, 4, 1, 4, 1, 2, 3, 1, 3, 4, 2, 1, 1, 1, 2, 4, 3, 0, 2, 4, 3, 0, 4, 2, 2, 1, 3, 1, 3, 4, 2, 1, 0, 3, 1, 0, 3, 2, 2, 3, 2, 1, 4, 2, 4, 1, 4, 3, 0, 3, 2, 3, 1, 3, 4, 3, 4, 3, 2, 4, 1, 2, 2, 2, 2, 4, 4, 2, 1, 2, 3, 2, 0, 0, 1, 4, 4, 4, 3, 1, 4, 4, 4, 3, 1, 4, 2, 1, 4, 2, 1, 2, 2, 2, 4, 3, 1, 4, 4, 1, 2, 0, 4, 2, 3, 4, 0, 2, 2, 4, 2, 4, 4, 3, 2, 1, 3, 4, 4, 2, 0, 0, 1, 2, 1, 1, 0, 3, 3, 1, 3, 0, 0]
pubkeycol789 = [1, 1, 1, 3, 4, 3, 0, 4, 1, 1, 0, 4, 4, 2, 1, 4, 3, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 3, 4, 3, 1, 1, 1, 1, 2, 4, 0, 0, 2, 2, 1, 2, 2, 1, 1, 4, 1, 0, 1, 4, 3, 4, 0, 0, 4, 2, 2, 4, 2, 0, 0, 1, 4, 2, 4, 0, 3, 2, 0, 0, 4, 4, 1, 3, 2, 3, 4, 4, 2, 1, 1, 4, 4, 3, 4, 2, 3, 1, 0, 3, 0, 0, 2, 4, 0, 2, 2, 2, 1, 1, 2, 1, 2, 4, 3, 4, 4, 4, 0, 0, 2, 3, 2, 4, 1, 3, 3, 2, 3, 4, 1, 1, 0, 2, 0, 2, 3, 3, 2, 0, 0, 0, 3, 3, 1, 1, 1, 2, 2, 3, 2, 3, 2, 1, 1, 4, 0, 2, 4, 4, 2, 1, 3, 3, 3, 1, 4, 2, 3, 4, 2, 2, 3, 4, 4, 2, 4, 0, 4, 2, 3, 1, 0, 3, 2, 0, 0, 0, 4, 1, 3, 0, 3, 3, 0, 4, 0, 4, 2, 2, 2, 4, 0, 4, 0, 3, 3, 1, 3, 2, 4, 4, 4, 1, 2, 2, 4, 4, 2, 2, 2, 1, 0, 3, 1, 0, 1, 0, 1, 0, 2, 4, 0, 1, 2, 4, 1, 4, 0, 0, 3, 0, 4, 2, 0, 3, 4, 0, 0, 0, 1, 1, 2, 2, 2, 4, 3, 3, 3, 3, 2, 0, 4, 0, 3, 2, 3, 1, 2, 0, 4, 3, 2, 3, 0, 4, 2, 1, 0, 3, 2, 3, 1, 3, 0, 0, 3, 2, 4, 4, 2, 1, 2, 1, 0, 1, 4, 3, 1, 0, 4, 0, 4, 2, 0, 1, 4, 0, 4, 0, 3, 3, 4, 2, 1, 4, 1, 0, 1, 1, 4, 4, 1, 4, 0, 0, 3, 1, 1, 4, 4, 3, 3, 3, 4, 0, 2, 2, 3, 1, 3, 1, 0, 1, 4, 3, 1, 3, 1, 2, 1, 2, 3, 0, 0, 3, 2, 1, 3, 2, 4, 1, 2, 4, 1, 3, 2, 0, 1, 2, 1, 3, 0, 1, 4, 1, 3, 0, 2, 0, 1, 0, 0, 0, 4, 1, 1, 1, 0, 4, 4, 3, 2, 3, 2, 3, 2, 3, 0, 4, 1, 2, 3, 1, 1]
pubkeycol790 = [1, 0, 4, 0, 1, 0, 4, 4, 4, 1, 4, 2, 4, 3, 2, 0, 2, 4, 1, 3, 3, 4, 0, 1, 0, 4, 4, 4, 1, 4, 2, 1, 3, 1, 0, 0, 4, 4, 3, 4, 4, 1, 1, 0, 3, 2, 1, 3, 3, 4, 3, 3, 2, 4, 2, 4, 2, 2, 3, 1, 2, 1, 0, 3, 0, 0, 4, 4, 0, 2, 0, 3, 2, 0, 2, 1, 3, 0, 3, 4, 0, 0, 3, 1, 2, 2, 4, 1, 4, 1, 4, 0, 2, 2, 2, 0, 2, 3, 4, 4, 2, 2, 2, 3, 4, 3, 0, 0, 4, 2, 2, 0, 0, 2, 3, 3, 3, 2, 0, 4, 4, 1, 2, 4, 3, 1, 0, 4, 2, 2, 0, 1, 4, 2, 0, 1, 0, 2, 0, 0, 2, 4, 3, 0, 2, 2, 0, 1, 3, 3, 4, 4, 4, 3, 0, 3, 3, 2, 3, 4, 4, 2, 0, 1, 1, 3, 1, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 1, 4, 3, 1, 2, 3, 2, 1, 4, 2, 1, 2, 2, 0, 2, 2, 0, 4, 1, 3, 0, 1, 3, 4, 1, 3, 2, 4, 4, 0, 1, 2, 3, 2, 0, 1, 1, 3, 3, 1, 4, 0, 1, 2, 3, 4, 2, 4, 3, 3, 4, 4, 1, 2, 0, 3, 4, 0, 0, 4, 0, 3, 1, 2, 2, 1, 0, 0, 0, 3, 2, 3, 2, 0, 0, 3, 1, 0, 3, 0, 3, 0, 3, 3, 1, 3, 2, 2, 0, 0, 1, 3, 2, 3, 3, 0, 1, 3, 4, 4, 1, 0, 3, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 4, 0, 4, 4, 1, 3, 1, 4, 2, 1, 3, 2, 4, 2, 1, 4, 2, 4, 3, 0, 0, 2, 3, 4, 3, 1, 3, 1, 1, 4, 4, 4, 4, 2, 0, 4, 2, 1, 1, 1, 3, 1, 0, 4, 2, 2, 2, 1, 3, 0, 4, 1, 2, 3, 2, 3, 3, 0, 2, 3, 0, 1, 0, 3, 1, 0, 4, 2, 1, 0, 3, 4, 0, 1, 1, 0, 1, 2, 1, 3, 3, 4, 2, 1, 2, 2, 1, 1, 2, 4, 0, 2, 0, 2, 0, 1, 3, 2, 2, 3, 4, 4, 3, 0, 1, 0]
pubkeycol791 = [4, 0, 2, 2, 1, 0, 0, 1, 4, 3, 2, 4, 3, 1, 0, 4, 1, 3, 1, 4, 2, 3, 4, 2, 3, 0, 1, 2, 0, 2, 2, 0, 1, 3, 2, 1, 0, 1, 1, 3, 0, 1, 1, 2, 4, 0, 3, 2, 1, 0, 1, 1, 3, 4, 2, 3, 3, 4, 4, 0, 4, 1, 0, 4, 2, 1, 4, 4, 4, 3, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 1, 3, 4, 2, 4, 0, 3, 0, 2, 1, 0, 0, 2, 2, 4, 4, 2, 4, 0, 0, 3, 3, 4, 3, 1, 2, 1, 4, 4, 0, 4, 1, 1, 1, 4, 2, 1, 2, 0, 0, 1, 3, 2, 2, 2, 3, 0, 4, 3, 2, 1, 0, 3, 3, 4, 4, 0, 3, 2, 4, 0, 1, 3, 4, 1, 0, 3, 4, 0, 1, 2, 3, 3, 2, 4, 4, 4, 2, 4, 0, 4, 4, 4, 1, 0, 3, 3, 2, 1, 1, 1, 2, 4, 1, 4, 1, 1, 1, 4, 3, 4, 1, 4, 3, 0, 3, 0, 0, 3, 3, 4, 0, 2, 4, 0, 3, 2, 0, 0, 0, 0, 3, 1, 3, 3, 0, 3, 0, 3, 0, 4, 2, 4, 4, 0, 4, 0, 4, 4, 2, 4, 3, 1, 1, 3, 3, 0, 4, 3, 2, 2, 0, 2, 3, 2, 2, 2, 3, 0, 1, 1, 4, 4, 2, 1, 2, 1, 0, 0, 4, 0, 1, 0, 4, 3, 4, 3, 1, 3, 2, 0, 4, 4, 4, 1, 1, 3, 2, 3, 0, 3, 4, 1, 4, 0, 2, 2, 2, 4, 2, 0, 1, 2, 3, 2, 0, 4, 2, 2, 1, 0, 0, 0, 4, 4, 0, 4, 0, 2, 0, 1, 4, 0, 0, 0, 3, 3, 1, 3, 4, 1, 0, 1, 3, 3, 4, 3, 3, 1, 1, 1, 0, 1, 2, 1, 3, 2, 3, 0, 4, 0, 3, 4, 1, 0, 4, 3, 4, 3, 1, 0, 2, 1, 2, 1, 2, 1, 4, 2, 3, 0, 1, 4, 4, 2, 0, 1, 4, 1, 0, 4, 1, 2, 3, 2, 0, 1, 3, 4, 3, 3, 4, 4, 2, 0, 0, 4, 2, 4, 2, 1, 0, 4, 4, 3, 0, 3, 4, 2, 3, 4, 1, 0, 0, 0, 1, 2, 3, 0, 0]
pubkeycol792 = [0, 4, 1, 1, 3, 0, 4, 0, 1, 1, 4, 0, 1, 3, 4, 1, 2, 3, 2, 4, 4, 3, 4, 2, 4, 0, 1, 2, 3, 3, 0, 0, 0, 3, 2, 3, 2, 1, 0, 0, 1, 2, 0, 3, 3, 0, 1, 1, 4, 3, 3, 0, 4, 0, 1, 3, 0, 4, 4, 1, 3, 1, 3, 2, 3, 4, 4, 4, 2, 4, 3, 0, 2, 3, 0, 1, 0, 4, 3, 3, 0, 4, 2, 4, 1, 2, 1, 3, 4, 0, 4, 2, 4, 3, 4, 0, 3, 3, 4, 4, 0, 1, 1, 4, 3, 3, 4, 3, 3, 0, 4, 0, 3, 4, 3, 3, 1, 4, 2, 4, 2, 4, 2, 1, 4, 4, 4, 1, 4, 1, 0, 3, 3, 1, 4, 0, 0, 4, 2, 2, 0, 4, 0, 0, 1, 1, 0, 2, 3, 2, 1, 1, 4, 0, 4, 0, 3, 1, 3, 4, 4, 4, 0, 0, 1, 3, 0, 4, 3, 3, 0, 0, 2, 4, 1, 2, 3, 2, 2, 3, 3, 0, 0, 0, 3, 2, 3, 1, 3, 4, 1, 4, 3, 3, 2, 3, 1, 3, 3, 0, 0, 0, 4, 1, 4, 2, 3, 2, 4, 2, 1, 4, 4, 3, 4, 0, 3, 4, 2, 0, 3, 4, 4, 0, 2, 0, 3, 4, 2, 1, 1, 2, 0, 4, 3, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 4, 3, 1, 0, 3, 1, 0, 0, 4, 1, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 3, 4, 3, 3, 1, 4, 0, 0, 1, 1, 2, 1, 0, 3, 1, 0, 1, 4, 4, 0, 0, 4, 0, 1, 3, 0, 3, 0, 2, 1, 1, 4, 0, 4, 3, 1, 4, 2, 3, 3, 0, 0, 4, 1, 2, 3, 2, 4, 4, 4, 2, 4, 1, 2, 4, 4, 2, 3, 4, 1, 0, 4, 0, 4, 3, 2, 1, 3, 4, 0, 1, 4, 2, 0, 3, 0, 2, 0, 3, 0, 2, 4, 2, 0, 0, 4, 1, 2, 4, 4, 3, 0, 1, 3, 4, 4, 3, 4, 0, 0, 0, 4, 3, 3, 0, 3, 4, 2, 1, 3, 1, 0, 2, 3, 1, 3, 4, 2, 0, 0, 4, 1, 2, 0, 0, 2, 3, 1, 1, 2, 2, 3, 3]
pubkeycol793 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 4, 1, 2, 0, 3, 1, 1, 4, 4, 1, 2, 4, 0, 0, 3, 0, 3, 1, 2, 0, 4, 4, 3, 0, 3, 3, 1, 2, 3, 0, 4, 3, 2, 2, 2, 4, 4, 2, 4, 4, 2, 0, 4, 2, 1, 4, 3, 4, 1, 4, 0, 2, 4, 3, 4, 1, 3, 3, 2, 1, 2, 0, 3, 1, 0, 1, 0, 2, 3, 2, 3, 3, 1, 2, 0, 3, 2, 4, 4, 4, 0, 2, 0, 4, 1, 4, 0, 0, 2, 3, 4, 2, 2, 3, 3, 3, 2, 1, 0, 2, 3, 2, 0, 2, 4, 4, 0, 1, 3, 4, 2, 2, 4, 0, 0, 2, 1, 2, 3, 0, 4, 0, 1, 0, 0, 3, 1, 0, 3, 3, 1, 1, 0, 4, 4, 1, 3, 3, 3, 1, 4, 3, 1, 4, 3, 0, 1, 2, 3, 3, 3, 0, 3, 4, 3, 2, 1, 3, 0, 1, 1, 3, 4, 0, 1, 4, 0, 3, 3, 2, 4, 0, 3, 1, 4, 3, 0, 3, 0, 4, 2, 0, 3, 4, 2, 3, 1, 3, 1, 0, 3, 2, 0, 3, 4, 4, 0, 0, 0, 1, 3, 1, 2, 4, 3, 0, 4, 3, 1, 4, 2, 2, 1, 4, 3, 1, 4, 3, 3, 1, 2, 2, 0, 4, 0, 2, 3, 0, 1, 2, 1, 1, 4, 3, 1, 1, 0, 4, 0, 3, 0, 4, 1, 0, 2, 1, 4, 2, 2, 0, 3, 4, 3, 3, 3, 0, 3, 0, 0, 3, 2, 4, 3, 3, 0, 2, 2, 3, 3, 3, 0, 1, 0, 4, 3, 3, 3, 0, 3, 2, 4, 0, 1, 4, 1, 2, 1, 1, 3, 3, 2, 4, 2, 4, 4, 0, 1, 2, 4, 1, 0, 2, 2, 3, 4, 0, 1, 3, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 4, 0, 2, 2, 4, 4, 3, 0, 0, 0, 1, 0, 1, 1, 3, 0, 0, 2, 2, 1, 1, 2, 3, 4, 0, 3, 1, 3, 1, 1, 3, 1, 4, 0, 0, 3, 0, 2, 1, 0, 1, 3, 0, 1, 2, 3, 4, 2, 0, 4, 3, 4, 3, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 4, 1, 4, 4, 3, 1, 3, 1, 1]
pubkeycol794 = [0, 0, 0, 0, 4, 0, 3, 3, 4, 0, 4, 1, 4, 1, 2, 2, 2, 3, 3, 1, 1, 2, 1, 4, 1, 1, 4, 3, 3, 0, 2, 2, 4, 3, 0, 1, 1, 2, 2, 1, 3, 4, 2, 2, 1, 0, 2, 0, 4, 4, 2, 0, 1, 4, 1, 1, 0, 2, 4, 1, 1, 4, 1, 0, 2, 4, 0, 4, 3, 2, 2, 4, 3, 4, 0, 2, 4, 3, 3, 2, 2, 4, 1, 1, 0, 1, 0, 3, 4, 1, 1, 2, 4, 2, 4, 0, 3, 1, 2, 2, 4, 4, 3, 2, 3, 4, 1, 3, 1, 0, 1, 0, 2, 1, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 3, 4, 3, 1, 1, 3, 3, 1, 3, 1, 2, 1, 2, 3, 2, 4, 2, 1, 0, 4, 3, 0, 0, 4, 1, 1, 2, 3, 4, 4, 1, 1, 0, 0, 1, 0, 3, 0, 3, 1, 1, 2, 1, 4, 3, 2, 2, 2, 0, 0, 2, 0, 3, 2, 0, 2, 2, 3, 0, 1, 3, 2, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 4, 1, 3, 4, 3, 4, 1, 4, 1, 4, 3, 0, 1, 0, 2, 3, 0, 0, 4, 4, 2, 3, 3, 0, 2, 4, 3, 3, 2, 0, 0, 2, 3, 4, 2, 2, 4, 1, 4, 1, 3, 2, 4, 4, 4, 1, 3, 0, 3, 2, 3, 1, 4, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 4, 1, 2, 2, 2, 3, 4, 2, 4, 3, 1, 4, 2, 4, 0, 2, 3, 4, 2, 3, 4, 2, 0, 4, 1, 3, 0, 4, 2, 4, 2, 3, 4, 4, 0, 3, 1, 0, 3, 4, 2, 0, 2, 3, 0, 1, 0, 2, 1, 2, 4, 4, 4, 0, 0, 0, 1, 0, 3, 4, 4, 3, 0, 1, 1, 3, 1, 2, 2, 3, 4, 0, 2, 1, 2, 0, 4, 1, 3, 3, 0, 1, 1, 3, 2, 4, 1, 0, 2, 1, 0, 3, 1, 2, 0, 0, 3, 0, 2, 2, 2, 1, 4, 0, 4, 4, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 3, 1, 1, 2, 0, 0, 4, 3, 0, 2, 4, 1, 1, 0, 2, 1, 2, 2, 1, 3, 4, 1, 2, 1]
pubkeycol795 = [1, 2, 1, 1, 3, 0, 0, 0, 1, 1, 4, 1, 1, 1, 2, 4, 2, 4, 0, 0, 2, 0, 0, 1, 1, 2, 2, 4, 0, 4, 4, 0, 1, 2, 0, 0, 1, 3, 3, 3, 0, 0, 2, 4, 0, 3, 2, 4, 2, 1, 2, 1, 2, 3, 2, 4, 2, 2, 0, 2, 4, 4, 2, 2, 0, 0, 0, 1, 3, 0, 3, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 3, 4, 4, 1, 2, 1, 0, 0, 4, 1, 0, 2, 2, 0, 1, 1, 4, 0, 3, 0, 1, 3, 0, 1, 2, 1, 1, 0, 1, 4, 4, 0, 1, 0, 4, 3, 2, 1, 0, 3, 0, 1, 3, 1, 1, 4, 4, 1, 3, 1, 0, 0, 0, 0, 4, 0, 0, 2, 4, 3, 1, 1, 3, 0, 3, 2, 4, 4, 2, 4, 1, 3, 1, 1, 3, 4, 2, 0, 2, 3, 3, 0, 2, 3, 3, 3, 3, 0, 4, 0, 4, 2, 4, 0, 3, 1, 0, 4, 1, 4, 2, 0, 1, 0, 0, 4, 1, 3, 2, 4, 1, 2, 1, 4, 4, 0, 2, 4, 0, 0, 0, 3, 3, 3, 4, 2, 3, 3, 4, 1, 1, 1, 4, 3, 3, 1, 3, 2, 4, 1, 0, 1, 4, 1, 2, 0, 1, 3, 4, 3, 1, 2, 4, 4, 3, 1, 3, 0, 2, 1, 4, 2, 4, 4, 3, 3, 4, 1, 3, 3, 4, 0, 4, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 4, 0, 1, 4, 1, 4, 3, 2, 0, 1, 4, 4, 2, 1, 3, 4, 4, 0, 2, 4, 4, 3, 0, 0, 0, 0, 0, 4, 1, 1, 2, 4, 1, 0, 3, 3, 2, 3, 3, 1, 2, 0, 3, 0, 1, 2, 0, 0, 2, 2, 1, 3, 2, 4, 3, 2, 2, 0, 2, 1, 0, 4, 0, 3, 0, 2, 1, 1, 2, 3, 3, 2, 4, 0, 1, 2, 4, 1, 0, 4, 4, 1, 1, 0, 0, 1, 1, 0, 4, 3, 2, 2, 3, 1, 3, 0, 3, 3, 3, 1, 2, 0, 4, 4, 4, 0, 1, 1, 3, 1, 2, 4, 3, 2, 4, 4, 2, 3, 4, 4, 1, 1, 3, 0, 0, 3, 3, 1, 1, 1, 2]
pubkeycol796 = [4, 3, 0, 2, 0, 4, 2, 2, 0, 4, 3, 4, 3, 1, 3, 3, 2, 1, 4, 1, 4, 1, 2, 0, 4, 4, 2, 2, 4, 2, 1, 1, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 1, 0, 3, 4, 2, 2, 3, 2, 0, 3, 0, 4, 3, 2, 2, 2, 0, 2, 4, 4, 0, 4, 0, 4, 1, 3, 1, 2, 2, 0, 3, 2, 4, 2, 4, 2, 1, 1, 3, 0, 2, 4, 2, 2, 2, 4, 4, 4, 3, 1, 0, 2, 4, 4, 3, 4, 0, 0, 0, 3, 3, 3, 2, 1, 3, 0, 4, 2, 0, 0, 4, 1, 3, 0, 3, 1, 3, 3, 2, 4, 4, 1, 0, 0, 1, 4, 0, 4, 2, 4, 2, 2, 3, 1, 2, 4, 1, 4, 3, 4, 4, 0, 4, 2, 2, 4, 1, 4, 0, 3, 2, 0, 1, 1, 0, 0, 3, 3, 2, 2, 3, 4, 1, 3, 1, 2, 0, 0, 3, 4, 0, 2, 4, 0, 2, 4, 0, 0, 1, 2, 3, 1, 4, 4, 2, 1, 4, 1, 2, 2, 3, 0, 0, 0, 2, 0, 2, 3, 3, 4, 4, 0, 3, 3, 0, 4, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 4, 2, 0, 4, 1, 3, 2, 3, 2, 2, 4, 0, 2, 1, 1, 0, 4, 2, 3, 1, 3, 2, 3, 0, 2, 0, 4, 1, 4, 3, 3, 4, 0, 1, 1, 0, 2, 4, 2, 4, 4, 1, 1, 2, 3, 2, 4, 0, 1, 3, 0, 0, 1, 1, 1, 4, 1, 4, 3, 2, 4, 4, 2, 3, 3, 4, 1, 2, 4, 4, 0, 4, 2, 2, 3, 0, 3, 1, 1, 3, 2, 1, 3, 3, 3, 4, 3, 2, 3, 1, 3, 0, 1, 3, 3, 4, 0, 0, 4, 0, 2, 2, 3, 2, 4, 0, 2, 0, 0, 4, 1, 1, 4, 2, 3, 4, 4, 2, 1, 0, 3, 3, 1, 2, 2, 2, 0, 1, 0, 3, 1, 0, 3, 4, 3, 1, 2, 0, 0, 4, 1, 2, 1, 3, 4, 2, 1, 1, 0, 4, 0, 3, 4, 4, 4, 4, 2, 3, 3, 0, 0, 4, 0, 4, 2, 2, 1, 4, 0, 2, 4, 2, 2, 4, 3, 3, 1, 3, 3, 1, 4, 0]
pubkeycol797 = [1, 0, 2, 2, 2, 3, 1, 2, 4, 2, 1, 3, 0, 3, 1, 2, 1, 0, 4, 2, 3, 1, 3, 1, 2, 4, 0, 2, 0, 0, 1, 1, 3, 2, 2, 4, 3, 3, 3, 1, 4, 3, 3, 4, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 3, 0, 3, 3, 4, 3, 1, 1, 1, 0, 2, 2, 3, 2, 3, 3, 0, 3, 3, 0, 3, 1, 3, 3, 3, 0, 3, 4, 4, 4, 4, 2, 0, 2, 4, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 3, 0, 1, 3, 4, 4, 3, 0, 1, 0, 3, 3, 0, 4, 3, 1, 2, 2, 0, 4, 3, 0, 2, 0, 4, 0, 4, 1, 1, 0, 2, 2, 0, 1, 1, 3, 0, 1, 4, 3, 3, 3, 4, 1, 1, 1, 4, 4, 2, 1, 1, 2, 0, 4, 3, 2, 2, 1, 0, 1, 3, 4, 3, 1, 1, 3, 4, 3, 2, 3, 3, 4, 2, 2, 3, 1, 0, 1, 3, 1, 2, 0, 3, 3, 2, 0, 3, 2, 3, 3, 3, 0, 1, 4, 1, 3, 4, 4, 3, 0, 0, 0, 0, 0, 2, 0, 4, 4, 2, 4, 1, 0, 2, 3, 0, 3, 0, 0, 0, 1, 0, 4, 0, 2, 3, 2, 4, 0, 2, 3, 4, 2, 0, 1, 1, 3, 0, 4, 2, 4, 3, 2, 3, 4, 2, 2, 2, 3, 0, 0, 1, 2, 1, 2, 2, 0, 1, 3, 4, 3, 3, 0, 2, 4, 4, 0, 1, 3, 2, 0, 4, 0, 3, 0, 2, 0, 1, 4, 1, 2, 2, 4, 4, 3, 0, 4, 3, 3, 1, 4, 1, 2, 3, 3, 4, 2, 0, 3, 3, 2, 0, 4, 4, 2, 3, 2, 4, 3, 0, 3, 3, 4, 2, 2, 1, 1, 1, 2, 3, 0, 0, 4, 2, 2, 3, 2, 0, 4, 0, 0, 3, 1, 3, 0, 0, 3, 1, 1, 2, 3, 2, 2, 4, 3, 1, 1, 3, 0, 4, 1, 2, 2, 1, 4, 4, 0, 4, 2, 2, 1, 2, 0, 1, 0, 3, 0, 2, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 4, 2, 3, 1, 2, 2, 2, 3, 2, 0, 3, 1, 1, 3, 3, 2, 2, 1, 3, 3, 0]
pubkeycol798 = [2, 3, 4, 4, 0, 0, 2, 1, 3, 1, 3, 1, 1, 0, 0, 2, 0, 0, 3, 2, 0, 1, 3, 3, 0, 2, 0, 0, 1, 3, 0, 4, 1, 4, 0, 4, 0, 4, 4, 0, 2, 1, 4, 2, 2, 1, 0, 1, 4, 1, 4, 3, 4, 3, 1, 4, 4, 2, 1, 2, 0, 1, 3, 2, 2, 3, 4, 0, 4, 0, 1, 3, 4, 0, 3, 0, 0, 1, 2, 3, 4, 3, 1, 3, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 3, 3, 4, 0, 1, 3, 1, 2, 3, 1, 1, 4, 4, 3, 3, 3, 0, 4, 0, 3, 1, 4, 0, 0, 4, 2, 2, 2, 2, 2, 4, 0, 1, 2, 1, 4, 4, 0, 4, 1, 2, 3, 1, 3, 3, 2, 0, 0, 3, 4, 1, 0, 3, 2, 1, 4, 0, 4, 0, 2, 3, 0, 1, 0, 1, 3, 3, 3, 0, 4, 1, 4, 2, 0, 0, 2, 3, 0, 2, 2, 4, 1, 2, 2, 0, 0, 1, 3, 4, 2, 3, 2, 3, 0, 2, 0, 2, 3, 4, 3, 4, 0, 2, 0, 4, 0, 2, 2, 4, 3, 4, 1, 4, 4, 4, 4, 3, 4, 0, 3, 2, 0, 2, 4, 4, 2, 2, 4, 2, 0, 0, 1, 1, 0, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 3, 2, 2, 0, 0, 3, 0, 2, 4, 0, 4, 2, 4, 1, 1, 3, 4, 4, 3, 2, 0, 3, 4, 1, 4, 3, 0, 2, 2, 1, 4, 0, 3, 0, 1, 0, 4, 0, 1, 2, 2, 4, 4, 2, 4, 2, 1, 2, 1, 4, 0, 2, 4, 1, 3, 3, 4, 4, 4, 4, 1, 0, 0, 0, 1, 4, 1, 0, 2, 0, 1, 0, 4, 1, 4, 2, 2, 2, 2, 0, 0, 2, 0, 0, 4, 3, 3, 1, 4, 0, 0, 4, 4, 2, 2, 1, 4, 4, 3, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 4, 4, 0, 2, 4, 1, 2, 4, 3, 1, 2, 0, 2, 4, 0, 3, 4, 4, 3, 1, 0, 4, 0, 2, 3, 1, 0, 4, 4, 0, 2, 3, 3, 1, 1, 0, 4, 3, 0, 1, 0, 2, 1, 0, 3, 3, 3, 1, 0, 3]
pubkeycol799 = [4, 4, 4, 1, 1, 1, 3, 4, 3, 0, 3, 2, 0, 4, 0, 4, 1, 2, 4, 0, 0, 3, 4, 3, 1, 2, 1, 2, 1, 0, 0, 0, 4, 3, 1, 2, 2, 4, 0, 1, 1, 2, 1, 0, 3, 4, 3, 1, 0, 3, 4, 1, 1, 2, 4, 4, 0, 1, 1, 4, 4, 2, 2, 2, 0, 2, 0, 3, 0, 4, 3, 0, 0, 3, 3, 1, 3, 2, 3, 2, 0, 3, 4, 4, 3, 4, 4, 0, 0, 1, 2, 2, 3, 4, 4, 2, 1, 2, 2, 1, 1, 3, 1, 3, 3, 3, 4, 4, 4, 2, 1, 0, 1, 4, 2, 2, 4, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 4, 1, 4, 1, 1, 2, 1, 0, 4, 3, 2, 3, 4, 2, 1, 4, 4, 0, 1, 2, 2, 0, 3, 2, 2, 0, 0, 3, 3, 2, 4, 0, 3, 1, 2, 2, 0, 3, 3, 1, 1, 1, 2, 0, 4, 4, 4, 4, 3, 1, 1, 0, 3, 4, 2, 1, 1, 3, 2, 1, 4, 1, 0, 2, 4, 4, 2, 1, 4, 3, 4, 3, 1, 0, 4, 2, 0, 1, 0, 1, 3, 2, 2, 1, 3, 4, 0, 0, 2, 2, 4, 4, 3, 3, 3, 4, 0, 4, 2, 3, 0, 0, 1, 0, 4, 1, 0, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 2, 4, 1, 2, 2, 4, 3, 3, 2, 0, 2, 4, 0, 1, 3, 1, 2, 4, 1, 3, 3, 2, 1, 1, 1, 4, 1, 4, 2, 3, 0, 4, 4, 4, 0, 4, 3, 0, 1, 0, 3, 1, 0, 3, 1, 2, 2, 0, 1, 4, 4, 0, 2, 0, 0, 4, 3, 2, 4, 1, 2, 3, 4, 0, 4, 1, 2, 2, 1, 0, 2, 0, 4, 0, 4, 4, 0, 3, 1, 2, 3, 0, 2, 1, 0, 3, 4, 4, 1, 1, 1, 3, 2, 2, 4, 1, 1, 2, 1, 0, 2, 0, 4, 1, 3, 2, 1, 3, 3, 4, 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 4, 1, 4, 2, 2, 1, 3, 1, 2, 2, 4, 3, 3, 1, 2, 1, 2, 2, 4, 4, 3, 3, 3, 2, 4, 2, 3, 1, 3, 1, 3, 4, 3, 4, 4]
pubkeycol800 = [2, 2, 1, 3, 2, 3, 1, 2, 0, 1, 4, 1, 0, 2, 0, 3, 3, 3, 1, 4, 0, 3, 2, 1, 1, 1, 0, 4, 1, 1, 3, 4, 1, 1, 1, 3, 0, 1, 0, 3, 4, 2, 2, 4, 2, 1, 1, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 3, 4, 4, 1, 3, 3, 0, 3, 0, 2, 4, 0, 4, 4, 2, 0, 2, 2, 4, 1, 2, 4, 1, 4, 4, 1, 0, 4, 2, 1, 3, 2, 2, 4, 0, 1, 4, 3, 3, 0, 4, 2, 3, 2, 0, 0, 1, 1, 2, 2, 4, 0, 1, 3, 2, 2, 2, 0, 3, 4, 0, 2, 2, 4, 3, 0, 1, 3, 2, 2, 3, 3, 3, 3, 1, 2, 1, 3, 1, 1, 2, 1, 2, 4, 1, 1, 1, 2, 1, 2, 2, 3, 4, 4, 4, 1, 1, 0, 0, 4, 3, 1, 1, 0, 1, 3, 4, 2, 4, 3, 3, 4, 0, 3, 2, 3, 0, 3, 3, 3, 2, 2, 0, 4, 3, 2, 1, 0, 1, 2, 2, 1, 4, 2, 4, 3, 3, 3, 3, 1, 3, 4, 3, 3, 0, 2, 3, 1, 1, 1, 0, 3, 1, 0, 2, 3, 4, 4, 4, 2, 4, 3, 0, 1, 4, 0, 1, 1, 1, 0, 3, 0, 4, 0, 1, 1, 1, 4, 4, 1, 0, 1, 2, 0, 2, 2, 0, 3, 0, 0, 0, 4, 1, 0, 4, 2, 3, 3, 2, 4, 4, 4, 3, 3, 2, 0, 4, 1, 4, 2, 3, 2, 3, 1, 0, 4, 0, 2, 0, 2, 0, 4, 2, 0, 4, 4, 1, 4, 1, 3, 3, 1, 3, 2, 0, 4, 0, 3, 3, 3, 4, 1, 0, 2, 1, 1, 2, 4, 3, 2, 3, 2, 1, 2, 1, 0, 3, 2, 4, 1, 1, 0, 1, 0, 0, 3, 3, 4, 1, 4, 2, 2, 0, 3, 4, 2, 4, 4, 4, 4, 3, 3, 1, 1, 4, 3, 1, 0, 1, 3, 0, 2, 3, 1, 3, 2, 0, 1, 3, 1, 4, 1, 3, 3, 1, 0, 2, 1, 3, 2, 4, 3, 2, 3, 2, 1, 4, 0, 0, 3, 4, 2, 3, 4, 2]
pubkeycol801 = [2, 4, 0, 1, 3, 1, 2, 0, 2, 2, 3, 0, 3, 1, 4, 2, 0, 1, 4, 0, 0, 0, 1, 4, 4, 2, 1, 1, 3, 3, 0, 0, 2, 1, 1, 0, 4, 0, 1, 1, 3, 1, 0, 0, 2, 4, 3, 3, 1, 2, 1, 1, 3, 2, 2, 0, 1, 2, 3, 1, 2, 2, 3, 3, 3, 4, 0, 1, 2, 4, 3, 2, 0, 4, 4, 2, 2, 3, 3, 2, 2, 1, 4, 4, 0, 4, 4, 1, 0, 4, 3, 1, 1, 1, 2, 1, 0, 0, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 2, 1, 4, 3, 0, 4, 0, 3, 3, 3, 4, 1, 4, 1, 1, 1, 0, 3, 1, 4, 3, 2, 2, 4, 3, 4, 1, 2, 1, 4, 4, 0, 3, 0, 2, 3, 3, 3, 2, 2, 3, 0, 2, 1, 1, 3, 1, 0, 2, 2, 1, 4, 0, 2, 0, 2, 0, 2, 2, 3, 2, 1, 0, 1, 4, 2, 3, 3, 4, 2, 3, 4, 1, 2, 3, 1, 2, 3, 0, 0, 4, 1, 3, 3, 3, 4, 0, 3, 4, 1, 1, 4, 3, 1, 1, 1, 1, 1, 0, 2, 3, 3, 3, 0, 4, 0, 0, 1, 1, 2, 4, 3, 1, 3, 0, 3, 4, 3, 3, 2, 1, 3, 4, 1, 0, 4, 4, 3, 4, 1, 4, 3, 0, 0, 4, 4, 2, 2, 4, 2, 1, 3, 2, 2, 4, 4, 1, 0, 4, 1, 2, 0, 1, 0, 3, 0, 3, 4, 0, 1, 0, 4, 2, 4, 3, 4, 4, 1, 0, 3, 1, 1, 1, 2, 0, 4, 2, 0, 4, 0, 3, 1, 0, 2, 2, 1, 2, 1, 4, 0, 1, 1, 2, 4, 0, 1, 3, 3, 2, 3, 2, 3, 0, 3, 3, 4, 3, 0, 2, 2, 3, 2, 3, 2, 1, 3, 3, 3, 1, 1, 2, 2, 4, 1, 3, 4, 3, 0, 2, 3, 3, 0, 2, 4, 4, 0, 2, 4, 4, 0, 4, 2, 2, 1, 0, 1, 2, 4, 3, 2, 4, 3, 1, 4, 1, 4, 4, 0, 0, 4, 1, 2, 0, 3, 3, 4, 3, 2, 2, 3, 4, 0, 4, 1, 4, 4, 1, 4, 0, 0, 0, 0, 4, 4, 4, 0, 1, 1, 0, 1, 2, 4]
pubkeycol802 = [4, 3, 1, 4, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 0, 2, 3, 0, 3, 4, 0, 1, 1, 0, 2, 0, 1, 1, 1, 4, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 3, 1, 2, 2, 1, 0, 2, 3, 1, 4, 4, 2, 4, 0, 2, 2, 2, 2, 3, 4, 2, 1, 2, 1, 0, 4, 1, 3, 0, 0, 3, 1, 2, 4, 2, 2, 4, 2, 3, 2, 1, 2, 0, 0, 1, 4, 2, 3, 3, 4, 0, 3, 4, 3, 3, 4, 1, 3, 3, 0, 1, 3, 3, 3, 2, 3, 3, 4, 0, 3, 2, 4, 0, 0, 0, 2, 3, 1, 1, 3, 1, 0, 3, 2, 4, 4, 4, 0, 0, 1, 4, 2, 0, 4, 3, 1, 2, 0, 1, 1, 2, 3, 4, 4, 0, 4, 0, 3, 3, 1, 4, 0, 2, 0, 3, 0, 4, 4, 0, 0, 0, 3, 1, 4, 3, 1, 0, 3, 3, 1, 4, 1, 2, 1, 3, 3, 4, 0, 1, 3, 0, 3, 3, 2, 1, 2, 4, 3, 0, 4, 3, 0, 3, 1, 2, 1, 0, 1, 0, 2, 3, 2, 2, 0, 2, 2, 2, 4, 0, 1, 3, 0, 2, 4, 2, 0, 0, 4, 2, 3, 0, 2, 0, 1, 4, 1, 0, 3, 2, 0, 2, 1, 2, 4, 0, 1, 0, 2, 2, 0, 1, 3, 4, 1, 0, 4, 0, 2, 1, 0, 4, 2, 4, 2, 0, 2, 1, 4, 2, 2, 2, 0, 1, 2, 4, 0, 0, 3, 2, 4, 2, 1, 0, 3, 1, 4, 2, 3, 3, 0, 3, 4, 4, 1, 2, 3, 2, 4, 0, 1, 2, 0, 4, 3, 3, 4, 0, 3, 2, 0, 4, 2, 1, 4, 1, 4, 1, 3, 2, 3, 4, 1, 4, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 3, 2, 0, 3, 3, 1, 4, 4, 2, 1, 3, 2, 1, 3, 1, 4, 1, 2, 0, 0, 0, 0, 2, 0, 3, 3, 4, 3, 3, 1, 1, 0, 2, 2, 0, 0, 4, 3, 0, 0, 2, 0, 4, 0, 2, 1, 3, 3, 1, 2, 3, 3, 2, 3, 4, 4, 4, 1, 2, 2, 2, 1, 3, 0, 2, 2, 2, 4, 0, 0, 4, 3, 0, 3, 2, 0]
pubkeycol803 = [3, 4, 0, 2, 4, 1, 1, 1, 0, 2, 0, 1, 0, 2, 3, 1, 3, 0, 0, 2, 4, 4, 2, 2, 3, 1, 2, 3, 1, 2, 1, 1, 4, 1, 2, 0, 0, 4, 4, 3, 4, 2, 2, 3, 3, 3, 1, 2, 3, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 4, 0, 3, 1, 1, 0, 3, 2, 1, 1, 0, 4, 1, 0, 1, 4, 1, 3, 4, 2, 4, 1, 1, 1, 0, 2, 1, 4, 1, 4, 1, 2, 1, 4, 2, 2, 2, 1, 4, 3, 4, 1, 4, 3, 2, 3, 3, 3, 3, 1, 1, 4, 1, 4, 2, 4, 4, 4, 1, 0, 0, 3, 0, 2, 0, 3, 1, 4, 4, 1, 1, 2, 0, 0, 0, 3, 4, 2, 3, 4, 3, 1, 3, 1, 1, 4, 1, 1, 4, 2, 3, 2, 1, 3, 0, 1, 3, 3, 0, 0, 4, 2, 2, 4, 1, 0, 1, 3, 0, 4, 4, 3, 4, 0, 4, 0, 1, 2, 2, 4, 1, 2, 0, 4, 2, 4, 0, 1, 3, 1, 4, 2, 4, 1, 2, 3, 2, 4, 2, 3, 1, 1, 4, 4, 0, 2, 1, 1, 0, 2, 0, 4, 4, 2, 2, 3, 0, 3, 0, 2, 2, 4, 0, 0, 0, 3, 3, 1, 3, 3, 1, 1, 3, 3, 1, 4, 2, 2, 0, 0, 0, 2, 2, 3, 4, 2, 3, 0, 0, 0, 3, 0, 0, 2, 2, 1, 4, 4, 4, 0, 0, 1, 2, 2, 4, 2, 0, 3, 3, 4, 2, 3, 3, 3, 2, 2, 2, 0, 2, 1, 1, 3, 1, 4, 0, 4, 3, 0, 3, 0, 3, 0, 1, 0, 0, 1, 3, 4, 1, 1, 0, 3, 4, 3, 0, 2, 1, 1, 3, 1, 3, 1, 4, 1, 4, 3, 1, 2, 1, 1, 2, 1, 3, 4, 3, 2, 1, 4, 1, 2, 4, 4, 3, 3, 3, 4, 1, 1, 3, 3, 3, 1, 1, 3, 1, 4, 0, 2, 4, 4, 4, 1, 4, 1, 0, 1, 4, 2, 1, 1, 1, 4, 4, 3, 1, 3, 4, 3, 0, 0, 0, 4, 1, 2, 4, 3, 3, 3, 3, 0, 4, 3, 1, 0, 3, 2, 4, 1, 1, 4, 4, 0, 2, 0, 4, 3, 0, 4, 2, 4, 0]
pubkeycol804 = [2, 1, 3, 4, 3, 4, 0, 1, 1, 3, 1, 0, 2, 0, 4, 0, 4, 4, 0, 4, 1, 4, 4, 4, 0, 4, 3, 0, 3, 2, 1, 0, 4, 3, 2, 0, 1, 4, 4, 1, 2, 1, 0, 3, 1, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 3, 0, 1, 0, 2, 3, 0, 2, 0, 0, 4, 1, 4, 1, 0, 2, 1, 1, 2, 0, 1, 4, 1, 0, 3, 4, 0, 4, 1, 2, 1, 0, 2, 0, 1, 3, 0, 3, 0, 1, 0, 1, 4, 0, 0, 2, 1, 1, 2, 4, 4, 1, 4, 0, 2, 3, 2, 4, 0, 3, 3, 2, 2, 2, 3, 2, 4, 0, 3, 1, 1, 1, 2, 4, 2, 2, 4, 0, 2, 3, 1, 0, 0, 1, 1, 3, 0, 1, 4, 3, 2, 1, 4, 4, 0, 3, 0, 0, 2, 4, 4, 3, 1, 3, 2, 4, 2, 1, 1, 1, 3, 3, 3, 2, 1, 4, 1, 1, 3, 4, 4, 0, 2, 1, 1, 4, 0, 3, 0, 0, 2, 4, 3, 4, 0, 3, 3, 1, 4, 2, 1, 1, 1, 1, 4, 3, 3, 4, 2, 1, 2, 4, 0, 2, 0, 0, 3, 3, 1, 4, 0, 0, 0, 0, 3, 4, 3, 3, 1, 3, 2, 0, 4, 2, 2, 0, 3, 4, 3, 0, 2, 3, 4, 2, 3, 4, 0, 3, 1, 0, 1, 0, 2, 2, 2, 2, 4, 1, 4, 0, 4, 3, 1, 1, 0, 0, 4, 4, 1, 3, 2, 1, 2, 3, 1, 3, 3, 3, 2, 0, 1, 4, 2, 4, 2, 4, 3, 4, 4, 3, 4, 3, 4, 0, 3, 1, 0, 3, 2, 0, 0, 1, 1, 2, 4, 4, 4, 4, 1, 4, 4, 1, 3, 4, 3, 4, 0, 1, 2, 4, 3, 3, 0, 0, 1, 2, 1, 3, 1, 3, 1, 2, 0, 3, 0, 3, 3, 2, 2, 4, 0, 1, 3, 2, 4, 2, 1, 4, 3, 4, 4, 4, 3, 3, 0, 0, 1, 0, 1, 4, 0, 2, 2, 2, 1, 2, 0, 1, 0, 4, 4, 0, 3, 0, 4, 2, 2, 3, 3, 4, 0, 1, 1, 2, 1, 3, 3, 0, 1, 3, 3, 0, 3, 4, 4, 3, 1, 1, 1, 4, 0, 1, 1, 1, 1]
pubkeycol805 = [4, 3, 4, 0, 1, 2, 4, 0, 0, 1, 2, 2, 0, 0, 4, 1, 1, 0, 3, 0, 1, 2, 2, 3, 4, 3, 0, 1, 4, 1, 0, 2, 4, 0, 4, 0, 2, 0, 2, 3, 3, 4, 3, 1, 4, 2, 0, 3, 2, 0, 3, 2, 3, 0, 0, 1, 3, 4, 1, 3, 0, 0, 0, 2, 0, 2, 3, 1, 4, 4, 0, 4, 1, 4, 3, 4, 1, 1, 4, 1, 0, 2, 1, 3, 3, 3, 1, 3, 4, 3, 1, 0, 3, 4, 4, 2, 1, 3, 1, 0, 4, 3, 1, 2, 0, 0, 4, 2, 2, 1, 1, 4, 0, 3, 1, 2, 1, 2, 3, 3, 0, 3, 0, 2, 3, 4, 2, 0, 2, 2, 4, 0, 2, 1, 3, 0, 2, 1, 2, 2, 4, 2, 0, 3, 1, 2, 2, 4, 3, 4, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 4, 4, 2, 4, 2, 2, 2, 4, 4, 1, 3, 1, 0, 2, 4, 2, 3, 0, 1, 4, 0, 0, 0, 3, 2, 1, 1, 0, 4, 2, 0, 1, 0, 3, 2, 4, 2, 3, 2, 0, 4, 1, 3, 2, 0, 1, 4, 3, 2, 0, 1, 2, 2, 4, 1, 0, 2, 3, 2, 3, 4, 1, 2, 1, 0, 3, 4, 1, 4, 1, 2, 1, 1, 3, 1, 4, 4, 1, 3, 2, 1, 4, 3, 3, 4, 3, 0, 3, 3, 0, 4, 0, 2, 2, 4, 0, 2, 3, 3, 2, 1, 3, 4, 4, 1, 4, 1, 3, 1, 1, 3, 0, 4, 1, 4, 1, 0, 2, 1, 4, 3, 0, 3, 0, 2, 4, 1, 4, 2, 3, 3, 0, 4, 3, 1, 4, 4, 0, 0, 1, 3, 2, 3, 2, 2, 4, 3, 4, 0, 0, 4, 0, 1, 2, 4, 3, 0, 4, 1, 1, 3, 0, 2, 2, 2, 3, 0, 4, 1, 1, 1, 1, 3, 0, 2, 2, 3, 2, 3, 2, 2, 0, 2, 4, 1, 1, 1, 4, 2, 1, 3, 2, 1, 1, 3, 1, 4, 2, 2, 3, 2, 4, 0, 1, 0, 4, 2, 0, 0, 0, 1, 1, 4, 3, 0, 4, 4, 2, 2, 1, 3, 3, 3, 1, 0, 3, 3, 0, 1, 3, 1, 2, 3, 2, 4, 1, 1, 1, 4, 1]
pubkeycol806 = [3, 4, 3, 0, 2, 1, 1, 2, 2, 0, 4, 1, 2, 4, 3, 0, 4, 0, 4, 4, 1, 2, 0, 1, 4, 4, 2, 1, 0, 0, 1, 0, 0, 1, 4, 2, 4, 4, 0, 1, 4, 1, 0, 4, 4, 3, 2, 2, 2, 4, 2, 4, 0, 2, 4, 4, 3, 1, 2, 0, 0, 4, 2, 0, 2, 2, 4, 1, 3, 2, 3, 4, 0, 0, 3, 3, 1, 2, 0, 4, 3, 1, 2, 2, 1, 3, 4, 1, 3, 4, 0, 4, 4, 0, 4, 0, 2, 0, 0, 2, 1, 2, 0, 3, 1, 1, 3, 3, 4, 0, 0, 0, 0, 1, 0, 4, 3, 2, 2, 1, 2, 2, 3, 1, 0, 0, 3, 4, 0, 2, 4, 1, 4, 4, 4, 2, 2, 3, 2, 0, 1, 0, 4, 0, 3, 3, 3, 2, 2, 1, 3, 0, 3, 2, 3, 0, 4, 1, 3, 0, 0, 4, 3, 2, 4, 2, 2, 1, 2, 0, 4, 2, 3, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 3, 1, 3, 3, 4, 3, 4, 1, 4, 4, 0, 0, 3, 1, 0, 3, 1, 4, 2, 0, 4, 0, 4, 2, 1, 3, 3, 2, 4, 0, 2, 2, 1, 4, 2, 0, 2, 0, 4, 4, 2, 0, 1, 3, 2, 1, 2, 3, 2, 4, 4, 1, 4, 1, 3, 3, 3, 0, 1, 0, 1, 2, 4, 3, 1, 3, 3, 4, 0, 1, 3, 1, 2, 2, 0, 2, 0, 0, 1, 3, 1, 3, 4, 1, 3, 2, 2, 0, 2, 4, 1, 0, 3, 3, 0, 3, 1, 4, 0, 2, 2, 0, 1, 2, 0, 3, 2, 1, 1, 1, 1, 4, 2, 3, 0, 1, 3, 2, 4, 3, 0, 0, 0, 2, 0, 4, 2, 2, 1, 2, 0, 0, 0, 1, 4, 4, 0, 1, 1, 3, 4, 4, 4, 0, 4, 2, 2, 0, 4, 4, 3, 4, 4, 3, 0, 3, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 3, 4, 0, 4, 2, 1, 3, 4, 1, 0, 2, 4, 1, 2, 3, 0, 3, 4, 1, 1, 2, 3, 1, 1, 1, 0, 0, 4, 3, 3, 3, 3, 4, 3, 3, 2, 1, 4, 4, 3, 3, 3, 2, 4, 3, 0, 4, 1, 2, 0]
pubkeycol807 = [1, 1, 2, 4, 2, 4, 0, 2, 4, 0, 0, 3, 3, 0, 3, 4, 2, 4, 3, 2, 3, 1, 3, 0, 4, 1, 0, 0, 1, 0, 2, 0, 1, 3, 3, 0, 0, 2, 1, 2, 0, 0, 1, 3, 0, 1, 4, 1, 3, 2, 0, 0, 1, 0, 2, 3, 2, 1, 1, 3, 3, 3, 2, 3, 1, 1, 4, 3, 1, 2, 2, 2, 3, 1, 4, 0, 1, 3, 1, 2, 3, 1, 4, 4, 4, 2, 4, 4, 4, 3, 1, 4, 2, 4, 2, 1, 0, 1, 2, 0, 4, 3, 4, 2, 2, 2, 2, 3, 1, 4, 2, 4, 4, 1, 4, 0, 4, 4, 1, 1, 3, 1, 0, 0, 1, 3, 0, 0, 0, 4, 3, 1, 4, 1, 2, 0, 2, 1, 4, 3, 1, 3, 0, 2, 3, 2, 0, 2, 4, 0, 3, 2, 0, 4, 1, 1, 1, 2, 4, 2, 3, 1, 2, 4, 2, 2, 0, 3, 3, 0, 1, 1, 4, 1, 4, 4, 1, 3, 1, 1, 3, 4, 3, 3, 3, 1, 3, 1, 1, 1, 4, 3, 3, 1, 2, 2, 4, 2, 1, 2, 3, 4, 1, 2, 2, 2, 3, 3, 1, 0, 0, 2, 2, 4, 0, 3, 3, 4, 0, 2, 1, 3, 1, 1, 2, 4, 3, 1, 1, 1, 0, 2, 0, 4, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 4, 2, 0, 3, 4, 0, 3, 1, 3, 0, 3, 0, 4, 1, 0, 3, 4, 3, 0, 4, 2, 0, 3, 4, 1, 4, 2, 2, 2, 2, 3, 0, 4, 3, 2, 0, 3, 3, 2, 0, 4, 1, 4, 0, 3, 4, 4, 0, 2, 0, 3, 2, 3, 1, 3, 0, 2, 4, 2, 4, 0, 0, 1, 2, 1, 4, 0, 3, 2, 0, 3, 3, 2, 0, 0, 4, 4, 4, 2, 0, 4, 3, 3, 3, 2, 3, 0, 0, 2, 0, 2, 1, 2, 3, 3, 3, 4, 1, 1, 1, 4, 1, 2, 1, 2, 0, 0, 4, 3, 1, 3, 4, 1, 3, 3, 1, 0, 4, 1, 3, 1, 1, 0, 2, 3, 3, 3, 1, 2, 1, 1, 0, 4, 2, 4, 2, 2, 4, 2, 0, 3, 0, 3, 4, 1, 4, 2, 3, 4, 4, 4, 1, 2, 2, 2, 0]
pubkeycol808 = [2, 2, 2, 4, 3, 1, 2, 2, 1, 3, 4, 2, 0, 0, 4, 0, 4, 2, 4, 2, 2, 1, 0, 4, 2, 3, 1, 0, 3, 0, 0, 0, 2, 1, 4, 0, 4, 4, 2, 1, 4, 2, 3, 0, 2, 3, 2, 1, 3, 4, 0, 0, 1, 2, 0, 1, 0, 4, 4, 0, 3, 4, 4, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 2, 0, 2, 0, 4, 4, 0, 4, 0, 4, 3, 1, 3, 2, 3, 3, 1, 4, 2, 3, 0, 4, 1, 1, 1, 3, 0, 1, 4, 2, 1, 2, 4, 4, 4, 1, 4, 0, 1, 4, 4, 1, 2, 2, 4, 1, 2, 3, 3, 4, 0, 2, 1, 4, 2, 4, 3, 3, 2, 4, 1, 4, 1, 2, 4, 4, 2, 0, 1, 0, 1, 3, 1, 0, 2, 2, 4, 4, 4, 3, 4, 2, 0, 0, 1, 3, 1, 0, 2, 3, 1, 4, 0, 4, 4, 1, 1, 2, 3, 1, 1, 3, 3, 4, 2, 4, 2, 3, 2, 0, 1, 4, 3, 3, 3, 0, 2, 3, 0, 2, 0, 4, 3, 3, 2, 1, 3, 2, 4, 1, 1, 2, 4, 3, 4, 4, 2, 3, 1, 2, 3, 1, 1, 3, 2, 1, 3, 1, 2, 1, 1, 3, 2, 2, 0, 4, 2, 0, 4, 2, 0, 3, 1, 4, 1, 1, 2, 3, 0, 0, 1, 4, 1, 1, 3, 4, 0, 1, 2, 1, 1, 4, 2, 4, 0, 0, 2, 4, 3, 2, 0, 1, 1, 1, 3, 4, 4, 3, 1, 2, 1, 4, 3, 4, 3, 0, 2, 1, 1, 3, 4, 4, 1, 4, 2, 1, 2, 3, 3, 0, 4, 2, 1, 1, 2, 0, 2, 2, 3, 1, 0, 0, 2, 1, 3, 4, 1, 2, 0, 3, 0, 3, 3, 4, 3, 1, 2, 2, 4, 2, 1, 1, 3, 2, 3, 2, 4, 2, 4, 4, 2, 3, 1, 2, 4, 0, 3, 3, 4, 3, 1, 3, 4, 4, 0, 2, 3, 0, 2, 0, 1, 2, 1, 2, 0, 2, 3, 4, 0, 2, 3, 0, 3, 0, 0, 2, 4, 2, 2, 2, 2, 4, 2, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 4, 1, 0, 1, 1, 3, 3, 1, 4, 2, 3, 2, 0]
pubkeycol809 = [4, 1, 3, 2, 3, 3, 1, 2, 2, 3, 0, 2, 1, 0, 3, 1, 3, 1, 4, 3, 1, 3, 3, 0, 1, 2, 2, 0, 4, 3, 2, 3, 4, 2, 1, 1, 1, 1, 3, 4, 4, 2, 2, 3, 1, 0, 0, 4, 0, 3, 0, 4, 0, 3, 2, 4, 0, 4, 2, 0, 4, 1, 0, 1, 4, 2, 1, 2, 0, 4, 2, 3, 3, 1, 0, 0, 4, 1, 4, 4, 3, 1, 3, 0, 4, 4, 4, 2, 3, 4, 3, 2, 0, 1, 4, 2, 4, 1, 0, 4, 0, 0, 4, 3, 0, 4, 1, 0, 3, 1, 3, 2, 2, 3, 1, 2, 3, 4, 1, 4, 0, 0, 2, 3, 0, 3, 3, 3, 0, 0, 4, 3, 2, 2, 3, 0, 2, 2, 0, 4, 1, 2, 4, 2, 2, 3, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 4, 4, 2, 4, 0, 0, 2, 2, 0, 1, 4, 1, 4, 4, 1, 3, 4, 1, 4, 1, 3, 1, 3, 0, 4, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 0, 4, 0, 1, 1, 4, 3, 1, 1, 4, 3, 2, 2, 0, 3, 3, 3, 3, 4, 0, 2, 0, 2, 0, 4, 2, 1, 4, 3, 0, 2, 1, 0, 4, 3, 2, 3, 3, 4, 0, 1, 4, 1, 1, 0, 3, 2, 2, 3, 3, 1, 4, 2, 4, 3, 1, 3, 4, 4, 0, 1, 1, 3, 3, 1, 1, 4, 1, 3, 1, 0, 3, 2, 0, 4, 0, 1, 2, 4, 1, 4, 4, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 0, 3, 2, 1, 1, 4, 4, 3, 1, 4, 0, 2, 4, 1, 1, 0, 4, 4, 3, 4, 1, 2, 4, 4, 2, 4, 2, 1, 0, 4, 0, 3, 2, 2, 3, 4, 4, 0, 3, 2, 1, 4, 1, 0, 3, 2, 1, 2, 4, 1, 3, 0, 4, 3, 2, 2, 2, 3, 2, 0, 4, 4, 2, 1, 0, 1, 4, 0, 0, 0, 1, 2, 3, 0, 1, 2, 3, 2, 1, 0, 4, 0, 4, 0, 1, 3, 0, 0, 3, 0, 1, 4, 4, 4, 4, 1, 0, 3, 4, 0, 0, 2, 4, 2, 3, 4, 2, 0, 0, 3, 3, 0, 1, 4]
pubkeycol810 = [3, 0, 4, 3, 0, 2, 3, 3, 1, 4, 2, 3, 2, 0, 4, 4, 2, 2, 1, 3, 3, 2, 4, 4, 0, 2, 3, 4, 0, 3, 2, 4, 4, 1, 0, 2, 2, 0, 2, 1, 3, 0, 4, 3, 2, 1, 2, 0, 2, 4, 0, 0, 0, 1, 2, 4, 1, 0, 0, 0, 3, 1, 3, 3, 4, 4, 1, 0, 1, 3, 2, 4, 4, 4, 2, 4, 0, 3, 0, 2, 4, 1, 2, 2, 1, 3, 1, 3, 2, 4, 3, 0, 1, 1, 2, 2, 1, 1, 4, 3, 4, 1, 0, 2, 2, 4, 4, 0, 1, 1, 1, 2, 1, 2, 0, 3, 2, 1, 1, 4, 2, 1, 3, 0, 2, 2, 1, 1, 2, 4, 4, 4, 1, 3, 0, 1, 0, 1, 1, 3, 0, 1, 1, 0, 0, 1, 0, 3, 4, 2, 3, 4, 0, 3, 1, 0, 1, 2, 1, 1, 4, 3, 3, 1, 2, 3, 2, 4, 1, 2, 3, 0, 0, 3, 0, 2, 3, 0, 4, 1, 4, 4, 1, 1, 3, 2, 2, 3, 1, 4, 2, 2, 1, 1, 3, 2, 0, 4, 1, 1, 1, 3, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 3, 1, 2, 2, 1, 0, 2, 4, 2, 4, 2, 1, 0, 4, 3, 3, 2, 0, 0, 2, 4, 0, 1, 4, 2, 3, 3, 2, 2, 0, 4, 0, 3, 3, 1, 4, 4, 3, 4, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 4, 1, 4, 0, 4, 4, 0, 3, 3, 4, 4, 1, 2, 1, 1, 2, 3, 3, 2, 0, 3, 1, 0, 0, 2, 1, 4, 2, 3, 1, 4, 3, 3, 0, 0, 3, 2, 3, 0, 0, 4, 1, 1, 3, 1, 3, 4, 0, 3, 3, 4, 4, 4, 1, 0, 2, 3, 1, 2, 1, 3, 2, 1, 0, 2, 2, 3, 1, 0, 4, 0, 1, 3, 3, 0, 3, 1, 2, 1, 3, 1, 0, 0, 4, 2, 0, 3, 3, 0, 2, 4, 1, 0, 3, 1, 4, 3, 0, 0, 4, 3, 3, 3, 4, 2, 3, 2, 2, 2, 1, 2, 1, 3, 2, 2, 1, 0, 2, 1, 1, 1, 3, 3, 2, 1, 0, 1, 0, 3, 1, 2]
pubkeycol811 = [4, 1, 2, 4, 1, 2, 1, 0, 1, 4, 0, 1, 3, 0, 4, 1, 2, 4, 1, 4, 0, 3, 3, 0, 2, 0, 1, 0, 2, 0, 4, 1, 2, 4, 4, 4, 3, 4, 4, 0, 4, 1, 2, 1, 0, 1, 2, 4, 0, 2, 3, 2, 0, 4, 1, 2, 4, 2, 4, 3, 0, 3, 3, 2, 3, 3, 1, 1, 4, 3, 3, 1, 1, 4, 3, 4, 4, 4, 0, 0, 3, 2, 2, 2, 1, 0, 3, 4, 4, 1, 2, 0, 3, 1, 0, 4, 2, 3, 3, 3, 2, 1, 2, 1, 4, 1, 0, 1, 1, 3, 0, 0, 3, 0, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 1, 2, 3, 4, 3, 2, 4, 4, 0, 1, 2, 0, 2, 2, 4, 4, 4, 0, 2, 4, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 0, 1, 1, 3, 3, 2, 3, 2, 2, 3, 4, 1, 2, 1, 4, 1, 4, 2, 3, 4, 1, 1, 3, 1, 4, 3, 1, 0, 2, 1, 2, 4, 1, 3, 0, 2, 1, 4, 3, 3, 0, 3, 0, 2, 3, 0, 3, 1, 3, 4, 3, 3, 0, 2, 4, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 4, 1, 0, 0, 1, 3, 0, 2, 2, 0, 1, 0, 1, 3, 3, 4, 3, 3, 0, 0, 1, 3, 0, 1, 4, 1, 2, 3, 3, 2, 2, 1, 2, 2, 0, 1, 4, 0, 0, 0, 1, 3, 0, 0, 1, 2, 4, 4, 0, 4, 3, 4, 0, 0, 0, 2, 3, 4, 1, 2, 0, 0, 2, 0, 0, 3, 2, 2, 4, 1, 0, 1, 3, 3, 4, 4, 4, 2, 0, 2, 0, 3, 1, 4, 0, 3, 4, 3, 1, 3, 3, 4, 4, 4, 1, 3, 0, 0, 1, 0, 1, 2, 4, 4, 3, 0, 2, 3, 0, 2, 1, 0, 1, 2, 3, 0, 2, 0, 1, 4, 4, 1, 4, 1, 0, 3, 0, 0, 2, 3, 2, 2, 4, 1, 2, 1, 3, 3, 2, 2, 3, 0, 4, 1, 3, 1, 2, 3, 2, 3, 1, 3, 2, 1, 0, 1, 3, 0, 0, 3, 0, 4, 0, 2, 4, 2, 3, 0, 4, 0, 4, 2, 0, 4, 2, 4, 2]
pubkeycol812 = [3, 2, 3, 4, 4, 3, 4, 1, 0, 1, 4, 3, 2, 0, 0, 1, 2, 4, 4, 0, 4, 1, 2, 0, 4, 1, 1, 4, 2, 0, 0, 3, 0, 0, 4, 4, 0, 2, 3, 4, 1, 1, 4, 1, 2, 0, 1, 1, 2, 0, 4, 4, 1, 1, 4, 2, 2, 3, 1, 0, 3, 4, 0, 4, 1, 3, 2, 2, 0, 4, 4, 2, 1, 4, 0, 2, 0, 2, 1, 2, 2, 1, 3, 3, 2, 2, 4, 3, 0, 4, 2, 0, 3, 0, 0, 2, 0, 4, 0, 0, 3, 1, 4, 3, 2, 2, 3, 1, 4, 4, 2, 1, 2, 3, 4, 0, 3, 3, 2, 2, 1, 4, 2, 4, 2, 1, 3, 3, 4, 2, 4, 4, 3, 0, 2, 3, 1, 0, 1, 1, 4, 0, 1, 3, 3, 2, 2, 3, 4, 0, 3, 1, 3, 3, 0, 0, 2, 1, 0, 2, 4, 3, 3, 4, 2, 4, 1, 0, 1, 1, 2, 2, 0, 2, 0, 3, 1, 0, 1, 2, 4, 4, 2, 0, 1, 3, 4, 3, 4, 2, 4, 0, 0, 3, 0, 2, 3, 3, 2, 2, 4, 4, 4, 0, 1, 4, 2, 3, 3, 1, 0, 1, 1, 4, 0, 4, 2, 1, 2, 4, 4, 0, 2, 2, 3, 0, 3, 4, 1, 3, 1, 1, 0, 3, 2, 1, 2, 4, 4, 0, 0, 3, 3, 1, 2, 0, 2, 3, 4, 1, 1, 2, 0, 2, 3, 0, 3, 4, 0, 4, 2, 1, 2, 2, 1, 3, 4, 3, 3, 3, 2, 3, 1, 2, 0, 4, 4, 0, 0, 4, 0, 1, 1, 3, 3, 4, 2, 1, 3, 1, 0, 1, 1, 2, 4, 4, 1, 1, 2, 0, 0, 3, 0, 2, 0, 4, 1, 1, 3, 4, 4, 1, 0, 4, 2, 3, 2, 2, 3, 1, 0, 2, 2, 4, 4, 4, 2, 0, 0, 1, 4, 2, 3, 3, 1, 4, 0, 1, 2, 4, 1, 0, 4, 0, 0, 3, 0, 0, 3, 2, 0, 1, 2, 2, 1, 1, 4, 4, 4, 0, 3, 4, 2, 3, 1, 2, 2, 1, 2, 1, 0, 3, 1, 0, 1, 3, 1, 0, 4, 2, 2, 4, 0, 1, 2, 3, 2, 4, 1, 1, 3, 1, 1, 3, 1, 4, 1, 3, 0, 1]
pubkeycol813 = [2, 0, 0, 4, 2, 0, 0, 3, 4, 2, 4, 1, 0, 1, 2, 0, 3, 1, 1, 3, 2, 0, 0, 3, 2, 0, 1, 1, 0, 3, 1, 2, 2, 3, 0, 2, 3, 4, 4, 3, 1, 3, 0, 2, 2, 2, 1, 3, 0, 2, 3, 2, 3, 2, 3, 4, 4, 0, 4, 4, 3, 1, 1, 1, 3, 4, 0, 0, 2, 3, 4, 0, 1, 0, 1, 3, 2, 4, 4, 0, 1, 0, 1, 4, 1, 0, 1, 3, 2, 0, 3, 4, 0, 3, 2, 2, 2, 3, 4, 2, 1, 4, 0, 1, 1, 0, 3, 2, 4, 3, 4, 4, 4, 1, 4, 1, 3, 1, 3, 3, 4, 1, 0, 3, 2, 4, 2, 0, 4, 4, 3, 0, 3, 1, 2, 2, 0, 3, 1, 1, 4, 1, 2, 2, 3, 1, 0, 1, 1, 4, 3, 0, 1, 4, 0, 0, 1, 0, 1, 0, 4, 1, 1, 2, 2, 0, 0, 3, 0, 1, 0, 2, 2, 3, 4, 0, 2, 1, 1, 0, 3, 2, 3, 3, 1, 2, 2, 1, 3, 3, 2, 4, 3, 1, 4, 3, 3, 1, 4, 0, 3, 2, 1, 4, 0, 4, 3, 3, 2, 2, 2, 3, 2, 0, 0, 2, 4, 1, 3, 2, 0, 2, 2, 4, 1, 0, 4, 4, 3, 3, 0, 1, 3, 4, 4, 1, 0, 2, 4, 4, 1, 2, 2, 0, 2, 2, 4, 2, 3, 1, 4, 1, 3, 3, 3, 2, 3, 2, 3, 4, 3, 0, 3, 2, 0, 1, 0, 4, 2, 3, 1, 4, 4, 0, 2, 4, 3, 0, 1, 3, 1, 2, 0, 4, 1, 2, 4, 4, 2, 3, 0, 3, 3, 4, 0, 2, 1, 3, 4, 0, 3, 4, 0, 2, 3, 0, 0, 4, 2, 4, 1, 2, 3, 2, 3, 0, 3, 3, 3, 3, 1, 3, 1, 1, 4, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 4, 4, 3, 1, 2, 3, 1, 2, 2, 4, 3, 1, 4, 2, 4, 3, 0, 0, 4, 2, 0, 2, 2, 1, 3, 4, 4, 0, 3, 3, 4, 0, 0, 4, 2, 0, 4, 1, 3, 4, 2, 1, 2, 3, 3, 4, 1, 4, 1, 3, 2, 2, 4, 2, 4, 2, 3, 2, 2, 0, 2, 3, 3, 1, 2]
pubkeycol814 = [4, 0, 0, 3, 1, 1, 2, 0, 3, 2, 4, 1, 4, 1, 1, 4, 3, 2, 1, 2, 4, 1, 1, 4, 4, 2, 1, 0, 1, 4, 2, 4, 4, 4, 2, 0, 0, 4, 4, 4, 1, 4, 2, 3, 0, 4, 2, 3, 0, 0, 2, 2, 3, 1, 1, 4, 1, 2, 4, 3, 0, 4, 1, 4, 3, 1, 0, 2, 0, 3, 1, 1, 3, 1, 3, 3, 4, 1, 0, 0, 2, 3, 2, 3, 2, 1, 4, 4, 4, 3, 0, 1, 3, 0, 4, 1, 0, 2, 4, 4, 2, 2, 0, 4, 1, 4, 4, 4, 4, 2, 0, 3, 0, 4, 2, 3, 1, 4, 4, 3, 3, 1, 4, 2, 3, 1, 3, 0, 1, 1, 0, 0, 4, 1, 0, 1, 2, 3, 0, 3, 1, 4, 3, 2, 4, 1, 1, 1, 4, 3, 4, 3, 1, 0, 1, 2, 2, 4, 4, 2, 3, 1, 2, 0, 2, 4, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 3, 1, 1, 0, 1, 1, 1, 3, 2, 0, 0, 4, 3, 3, 0, 4, 1, 1, 0, 4, 1, 0, 1, 4, 1, 1, 0, 0, 4, 1, 3, 0, 2, 3, 0, 2, 3, 3, 0, 4, 0, 0, 0, 2, 4, 4, 0, 0, 4, 2, 0, 2, 4, 2, 0, 2, 0, 2, 4, 2, 3, 2, 4, 3, 2, 0, 3, 1, 4, 2, 1, 3, 4, 1, 3, 4, 3, 0, 2, 3, 3, 2, 1, 4, 1, 4, 1, 1, 4, 2, 1, 2, 4, 0, 4, 0, 3, 3, 1, 3, 4, 1, 2, 0, 3, 4, 0, 2, 2, 4, 0, 1, 4, 4, 4, 1, 3, 4, 3, 1, 4, 3, 1, 4, 3, 4, 1, 3, 4, 2, 3, 2, 4, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 2, 0, 1, 0, 3, 0, 4, 1, 3, 4, 0, 0, 1, 2, 4, 3, 3, 2, 0, 4, 1, 4, 4, 1, 4, 4, 3, 2, 4, 4, 4, 4, 1, 3, 3, 4, 4, 0, 1, 4, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 2, 3, 0, 4, 1, 2, 2, 3, 0, 1, 3, 1, 1, 3, 4, 1, 2, 1, 0, 3, 1, 1, 2, 4, 2, 4, 3, 0, 3, 3, 3]
pubkeycol815 = [1, 1, 0, 1, 1, 0, 2, 0, 1, 3, 1, 2, 0, 0, 1, 0, 0, 4, 1, 3, 2, 2, 3, 1, 1, 0, 2, 2, 1, 0, 2, 4, 2, 0, 1, 4, 0, 3, 3, 4, 0, 4, 3, 1, 1, 0, 2, 0, 0, 3, 1, 4, 4, 4, 3, 2, 4, 1, 0, 3, 3, 1, 2, 0, 0, 4, 4, 4, 3, 4, 2, 2, 1, 0, 2, 4, 1, 3, 2, 3, 2, 3, 2, 0, 4, 4, 1, 3, 2, 1, 0, 3, 2, 0, 1, 3, 3, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 4, 0, 0, 3, 0, 4, 0, 1, 0, 0, 1, 3, 2, 1, 2, 3, 1, 2, 3, 1, 0, 3, 1, 3, 4, 2, 0, 1, 0, 2, 1, 2, 1, 4, 1, 4, 0, 3, 3, 2, 2, 2, 1, 0, 1, 3, 4, 2, 1, 2, 2, 2, 1, 1, 4, 4, 1, 4, 2, 3, 1, 3, 2, 0, 1, 1, 2, 1, 1, 3, 3, 2, 2, 2, 3, 1, 1, 4, 3, 2, 2, 3, 3, 1, 2, 4, 1, 0, 3, 3, 2, 3, 2, 0, 3, 2, 2, 2, 3, 0, 2, 2, 0, 1, 2, 2, 3, 4, 4, 4, 4, 1, 3, 4, 4, 0, 1, 3, 1, 4, 2, 0, 2, 4, 4, 2, 1, 2, 4, 3, 2, 1, 0, 4, 4, 1, 3, 2, 0, 3, 2, 2, 0, 3, 3, 4, 3, 4, 4, 2, 1, 2, 2, 0, 4, 0, 4, 4, 3, 3, 0, 0, 2, 4, 4, 3, 4, 1, 2, 1, 3, 1, 3, 4, 2, 4, 3, 4, 2, 2, 3, 1, 0, 1, 2, 0, 2, 4, 3, 3, 3, 0, 4, 4, 2, 0, 4, 3, 1, 2, 1, 2, 2, 3, 0, 1, 3, 1, 2, 4, 2, 2, 1, 1, 4, 0, 2, 4, 4, 2, 0, 2, 1, 1, 1, 3, 1, 4, 3, 4, 0, 2, 3, 4, 0, 1, 2, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 4, 2, 0, 4, 0, 2, 3, 3, 3, 1, 0, 3, 1, 3, 4, 2, 0, 1, 3, 1, 0, 2, 3, 0, 1, 1, 2, 2, 4, 1, 3, 4, 1, 0, 3, 3, 0, 3, 2, 4, 0, 1, 0, 1, 1, 4]
pubkeycol816 = [4, 1, 0, 2, 3, 2, 4, 1, 4, 3, 3, 2, 2, 0, 1, 2, 4, 0, 4, 2, 4, 2, 0, 0, 2, 3, 2, 4, 0, 1, 3, 3, 3, 1, 0, 2, 2, 2, 0, 0, 4, 0, 0, 1, 4, 3, 0, 0, 4, 0, 3, 1, 4, 1, 3, 2, 1, 3, 3, 3, 2, 0, 0, 2, 3, 0, 2, 0, 0, 2, 3, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 4, 1, 1, 4, 4, 3, 2, 2, 1, 1, 4, 2, 0, 3, 1, 4, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 3, 2, 2, 0, 1, 2, 3, 0, 3, 2, 0, 0, 1, 3, 4, 0, 3, 1, 3, 3, 3, 4, 1, 0, 1, 1, 4, 0, 0, 0, 0, 0, 3, 1, 1, 2, 4, 2, 3, 0, 3, 2, 2, 0, 2, 2, 4, 1, 0, 4, 3, 4, 0, 0, 4, 2, 3, 3, 2, 3, 3, 2, 2, 0, 0, 4, 0, 1, 1, 1, 4, 1, 3, 4, 2, 2, 0, 4, 3, 0, 4, 1, 2, 2, 1, 3, 3, 4, 1, 1, 2, 0, 1, 0, 4, 3, 0, 4, 3, 0, 2, 0, 1, 4, 1, 0, 1, 0, 3, 2, 0, 1, 2, 0, 0, 4, 2, 3, 1, 2, 3, 2, 2, 3, 3, 0, 3, 0, 2, 2, 2, 4, 4, 0, 2, 4, 0, 4, 4, 0, 4, 0, 3, 3, 0, 3, 3, 0, 1, 2, 0, 1, 4, 1, 0, 2, 3, 4, 1, 1, 2, 0, 4, 1, 3, 2, 3, 3, 4, 1, 1, 1, 1, 0, 0, 2, 0, 2, 3, 0, 2, 0, 1, 0, 4, 2, 3, 1, 2, 2, 1, 4, 3, 1, 4, 4, 4, 3, 0, 4, 0, 3, 4, 0, 4, 3, 0, 2, 3, 2, 1, 1, 1, 2, 4, 0, 2, 1, 2, 1, 0, 1, 0, 3, 4, 4, 4, 3, 1, 0, 4, 1, 3, 3, 1, 0, 3, 1, 1, 1, 2, 1, 3, 0, 1, 3, 2, 1, 0, 2, 2, 4, 3, 0, 4, 0, 3, 0, 3, 2, 4, 0, 0, 2, 2, 3, 3, 2, 3, 4, 0, 1, 0, 2, 3, 1, 3, 3, 3, 0, 2, 2, 3, 1, 1, 0, 2, 1, 0, 4, 1, 4]
pubkeycol817 = [3, 4, 4, 2, 4, 1, 1, 1, 3, 1, 1, 3, 2, 4, 3, 1, 4, 4, 2, 0, 2, 4, 4, 1, 4, 0, 1, 3, 2, 4, 2, 1, 2, 0, 0, 4, 4, 0, 3, 3, 1, 4, 1, 3, 2, 1, 0, 1, 4, 2, 1, 2, 0, 2, 4, 0, 0, 3, 1, 2, 2, 3, 3, 4, 2, 2, 3, 3, 2, 3, 1, 2, 3, 1, 1, 2, 2, 0, 0, 4, 1, 0, 2, 4, 3, 4, 0, 0, 4, 2, 0, 1, 3, 2, 2, 4, 2, 0, 0, 1, 0, 0, 0, 0, 2, 4, 1, 1, 4, 2, 2, 1, 4, 0, 2, 4, 0, 1, 3, 3, 2, 4, 4, 1, 1, 1, 3, 3, 4, 0, 0, 4, 1, 0, 1, 0, 4, 4, 2, 2, 0, 3, 3, 1, 3, 2, 0, 3, 2, 1, 2, 2, 3, 1, 3, 0, 1, 1, 0, 4, 4, 4, 3, 2, 3, 1, 2, 0, 0, 4, 2, 0, 3, 3, 0, 4, 3, 1, 3, 0, 3, 4, 1, 3, 0, 1, 4, 0, 2, 3, 4, 4, 1, 3, 4, 3, 3, 4, 1, 2, 2, 1, 3, 3, 0, 2, 2, 0, 1, 4, 1, 2, 3, 4, 1, 2, 2, 2, 2, 4, 0, 2, 2, 4, 0, 2, 4, 2, 3, 2, 3, 2, 1, 4, 2, 4, 2, 2, 3, 3, 2, 4, 0, 0, 2, 0, 0, 2, 1, 0, 2, 3, 0, 4, 3, 4, 2, 1, 1, 0, 4, 4, 2, 0, 3, 3, 0, 1, 4, 4, 1, 0, 0, 4, 1, 2, 0, 0, 3, 2, 2, 2, 4, 0, 3, 1, 4, 0, 3, 1, 3, 0, 4, 0, 2, 4, 4, 3, 3, 1, 4, 4, 0, 2, 2, 0, 2, 3, 2, 3, 3, 2, 3, 0, 4, 3, 0, 2, 2, 4, 1, 0, 4, 3, 1, 4, 1, 4, 3, 1, 0, 0, 0, 4, 1, 3, 3, 2, 0, 1, 4, 3, 2, 3, 2, 2, 1, 1, 2, 2, 4, 2, 0, 0, 0, 1, 0, 1, 3, 1, 2, 3, 2, 1, 0, 3, 1, 3, 3, 3, 1, 3, 0, 3, 0, 4, 3, 1, 0, 1, 1, 0, 4, 2, 2, 2, 2, 0, 1, 4, 4, 0, 2, 1, 3, 1, 4, 4, 1, 3]
pubkeycol818 = [3, 0, 3, 0, 4, 1, 4, 4, 4, 4, 2, 2, 3, 3, 4, 1, 3, 0, 2, 3, 0, 4, 3, 4, 3, 1, 3, 1, 0, 0, 0, 4, 3, 0, 0, 3, 3, 4, 1, 2, 0, 1, 3, 4, 2, 4, 0, 1, 1, 3, 1, 1, 4, 2, 4, 4, 3, 0, 4, 2, 1, 3, 4, 1, 2, 4, 2, 3, 4, 1, 4, 3, 4, 3, 0, 0, 4, 1, 1, 0, 4, 3, 3, 3, 1, 3, 3, 3, 2, 1, 1, 0, 1, 4, 3, 4, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 4, 1, 4, 1, 1, 4, 1, 1, 3, 0, 1, 3, 3, 0, 2, 2, 0, 0, 2, 3, 2, 4, 4, 0, 4, 1, 3, 0, 1, 3, 3, 3, 2, 0, 0, 4, 2, 1, 0, 1, 2, 4, 0, 2, 4, 2, 0, 4, 3, 3, 4, 2, 4, 2, 4, 3, 3, 0, 1, 1, 3, 0, 3, 4, 1, 0, 2, 2, 3, 0, 1, 4, 4, 4, 4, 1, 0, 0, 3, 2, 1, 3, 1, 0, 2, 2, 2, 4, 3, 4, 0, 1, 0, 0, 4, 3, 1, 4, 2, 0, 3, 2, 0, 1, 2, 2, 1, 4, 4, 3, 3, 2, 4, 3, 4, 0, 3, 0, 4, 3, 2, 4, 3, 4, 4, 3, 3, 4, 4, 1, 0, 3, 2, 1, 4, 3, 2, 0, 1, 0, 0, 2, 2, 2, 0, 4, 1, 3, 0, 3, 0, 4, 0, 1, 3, 1, 0, 0, 2, 2, 1, 3, 1, 4, 1, 0, 1, 3, 3, 3, 4, 3, 3, 4, 4, 0, 2, 4, 0, 3, 4, 3, 3, 0, 2, 3, 2, 3, 2, 1, 2, 1, 3, 4, 1, 3, 3, 4, 1, 1, 2, 1, 4, 1, 4, 1, 0, 0, 1, 4, 3, 1, 4, 2, 2, 4, 2, 2, 1, 0, 1, 0, 4, 2, 3, 1, 2, 3, 4, 1, 4, 4, 0, 0, 3, 3, 2, 1, 1, 1, 4, 0, 1, 1, 4, 1, 1, 1, 1, 2, 1, 3, 2, 4, 1, 1, 3, 4, 2, 4, 3, 0, 4, 3, 3, 3, 4, 0, 2, 1, 0, 1, 2, 4, 1, 1, 0, 3, 3, 0, 2, 0, 4, 3, 3, 4, 2, 3, 1, 0, 1, 2, 2, 2]
pubkeycol819 = [2, 0, 1, 4, 4, 4, 4, 1, 0, 1, 2, 2, 1, 3, 2, 3, 3, 1, 4, 4, 3, 1, 2, 2, 0, 2, 4, 1, 2, 3, 0, 0, 0, 3, 1, 2, 4, 0, 1, 3, 1, 0, 0, 1, 1, 4, 3, 1, 2, 3, 4, 3, 0, 3, 4, 2, 2, 2, 1, 0, 0, 3, 2, 3, 0, 0, 1, 3, 0, 0, 4, 3, 1, 4, 0, 2, 2, 3, 4, 1, 3, 3, 0, 1, 1, 4, 3, 0, 2, 4, 2, 1, 1, 4, 3, 1, 3, 1, 4, 1, 2, 2, 2, 3, 0, 1, 0, 0, 3, 3, 3, 2, 0, 2, 4, 0, 3, 3, 3, 3, 2, 1, 4, 0, 4, 0, 1, 0, 3, 4, 3, 3, 0, 4, 0, 3, 1, 4, 1, 3, 3, 0, 1, 4, 3, 2, 2, 4, 1, 3, 4, 0, 4, 3, 3, 3, 3, 4, 0, 1, 1, 0, 4, 4, 3, 1, 0, 3, 2, 0, 4, 2, 1, 1, 4, 3, 4, 0, 1, 1, 2, 3, 0, 4, 4, 4, 3, 0, 3, 3, 3, 4, 0, 3, 0, 2, 2, 4, 2, 0, 2, 0, 3, 2, 0, 1, 3, 0, 4, 1, 2, 0, 3, 2, 0, 0, 3, 3, 3, 4, 1, 3, 2, 3, 4, 3, 0, 3, 0, 1, 4, 1, 4, 4, 2, 3, 3, 1, 1, 3, 1, 3, 1, 1, 1, 1, 4, 4, 2, 1, 0, 4, 3, 1, 3, 0, 3, 1, 2, 3, 0, 4, 3, 4, 0, 4, 3, 3, 4, 4, 2, 3, 2, 3, 3, 4, 4, 3, 4, 0, 1, 2, 1, 2, 1, 3, 2, 3, 4, 4, 3, 0, 0, 4, 2, 2, 1, 4, 4, 1, 4, 0, 2, 3, 3, 4, 2, 1, 4, 1, 0, 2, 1, 3, 1, 1, 0, 1, 1, 2, 0, 3, 0, 0, 0, 2, 1, 4, 1, 2, 1, 0, 0, 0, 3, 4, 0, 2, 4, 1, 2, 1, 0, 2, 2, 0, 0, 3, 2, 1, 1, 2, 4, 1, 2, 2, 3, 1, 3, 3, 2, 2, 4, 0, 3, 2, 3, 3, 4, 3, 1, 0, 1, 3, 4, 4, 4, 0, 2, 4, 1, 1, 0, 2, 2, 0, 2, 4, 1, 0, 3, 4, 3, 0, 3, 2, 2, 2, 2, 4]
pubkeycol820 = [3, 3, 4, 4, 0, 3, 2, 0, 3, 1, 1, 4, 0, 1, 2, 0, 1, 0, 4, 0, 1, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 4, 3, 0, 4, 4, 1, 1, 3, 3, 1, 3, 3, 2, 4, 3, 1, 2, 4, 3, 2, 1, 0, 0, 3, 2, 1, 2, 2, 3, 4, 2, 0, 2, 2, 2, 3, 2, 2, 2, 1, 0, 2, 1, 1, 1, 3, 4, 3, 2, 4, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 3, 4, 1, 3, 4, 3, 3, 0, 4, 4, 2, 0, 0, 1, 2, 1, 4, 1, 4, 3, 3, 4, 0, 2, 4, 4, 2, 1, 4, 3, 1, 1, 2, 0, 0, 0, 0, 3, 4, 0, 3, 2, 3, 2, 0, 3, 1, 0, 1, 0, 0, 3, 0, 4, 4, 1, 2, 2, 2, 3, 3, 4, 3, 1, 4, 0, 4, 3, 0, 0, 4, 4, 0, 3, 2, 4, 3, 1, 0, 1, 2, 0, 3, 2, 1, 4, 3, 3, 1, 3, 4, 0, 1, 2, 0, 0, 4, 1, 3, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 2, 2, 4, 0, 3, 4, 4, 1, 2, 0, 3, 4, 4, 0, 1, 3, 3, 1, 0, 3, 1, 2, 1, 0, 1, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 0, 3, 3, 1, 4, 0, 1, 0, 1, 0, 0, 2, 4, 2, 1, 0, 2, 1, 4, 2, 1, 4, 4, 2, 0, 0, 4, 4, 0, 4, 0, 4, 0, 1, 2, 3, 0, 1, 4, 0, 3, 4, 1, 3, 0, 4, 2, 2, 3, 1, 3, 1, 3, 4, 0, 3, 3, 0, 4, 2, 3, 1, 2, 3, 0, 3, 1, 1, 0, 4, 0, 0, 4, 1, 3, 4, 2, 3, 3, 0, 0, 4, 3, 1, 2, 0, 1, 3, 2, 3, 1, 0, 4, 0, 2, 0, 4, 0, 4, 4, 3, 3, 2, 0, 4, 4, 3, 0, 0, 2, 2, 0, 4, 4, 1, 4, 4, 3, 3, 0, 1, 1, 4, 4, 2, 1, 0, 4, 1, 2, 3, 4, 1, 4, 0, 2, 2, 0, 4, 3, 4, 0, 2, 1, 0, 2, 4, 3, 2, 2, 4, 0, 1, 2, 2, 0]
pubkeycol821 = [2, 0, 4, 3, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 3, 4, 2, 4, 2, 4, 2, 4, 0, 2, 0, 2, 0, 3, 4, 0, 3, 2, 4, 3, 3, 3, 0, 0, 3, 3, 3, 2, 3, 3, 1, 3, 4, 2, 4, 4, 4, 2, 3, 0, 2, 0, 3, 2, 3, 4, 4, 1, 4, 4, 1, 0, 3, 1, 4, 4, 3, 4, 3, 2, 3, 2, 4, 2, 0, 4, 4, 1, 2, 1, 2, 4, 0, 1, 2, 4, 1, 2, 0, 4, 4, 1, 3, 2, 2, 1, 4, 3, 4, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 4, 2, 0, 1, 3, 1, 1, 1, 4, 0, 4, 4, 0, 3, 4, 1, 4, 3, 3, 0, 4, 1, 4, 2, 1, 1, 0, 2, 2, 3, 2, 0, 3, 2, 4, 2, 0, 2, 0, 0, 2, 3, 3, 1, 3, 1, 0, 0, 3, 0, 3, 3, 1, 2, 3, 1, 0, 2, 2, 3, 3, 2, 2, 2, 4, 2, 1, 2, 4, 1, 2, 0, 3, 4, 0, 1, 0, 3, 4, 3, 0, 3, 3, 0, 1, 4, 1, 0, 3, 1, 2, 3, 2, 4, 2, 4, 4, 0, 3, 0, 0, 4, 4, 4, 4, 0, 0, 2, 1, 0, 4, 3, 4, 1, 2, 1, 0, 2, 4, 2, 4, 2, 4, 0, 4, 0, 1, 0, 2, 4, 2, 0, 4, 3, 2, 0, 0, 0, 3, 1, 1, 2, 4, 3, 3, 4, 0, 0, 1, 2, 1, 1, 0, 3, 1, 2, 1, 3, 3, 0, 4, 1, 3, 4, 2, 0, 2, 4, 1, 2, 4, 3, 2, 0, 0, 3, 0, 2, 1, 0, 0, 4, 1, 0, 1, 0, 2, 0, 0, 2, 4, 3, 1, 4, 3, 0, 2, 0, 3, 4, 3, 4, 0, 3, 4, 0, 4, 1, 2, 4, 0, 2, 3, 1, 2, 2, 2, 3, 4, 1, 1, 4, 3, 0, 2, 3, 4, 0, 1, 3, 1, 1, 2, 3, 2, 4, 2, 1, 4, 3, 4, 4, 2, 4, 1, 0, 3, 4, 2, 4, 1, 2, 0, 4, 3, 0, 3, 0, 1, 4, 2, 3, 2, 4, 1, 1, 3, 1, 3, 1, 0, 2, 0, 4, 1, 4, 3, 0, 2, 1, 0, 2, 3, 4, 2, 1]
pubkeycol822 = [0, 4, 3, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 4, 3, 3, 3, 0, 1, 3, 1, 0, 1, 0, 3, 4, 2, 4, 3, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 4, 1, 0, 4, 1, 1, 0, 3, 1, 2, 0, 3, 4, 0, 0, 0, 0, 1, 0, 2, 2, 3, 4, 0, 4, 2, 1, 3, 0, 1, 4, 1, 1, 4, 1, 3, 3, 1, 1, 0, 2, 2, 4, 0, 4, 4, 2, 0, 3, 1, 2, 0, 0, 4, 2, 2, 2, 3, 2, 2, 3, 2, 0, 1, 0, 0, 2, 4, 4, 1, 2, 0, 1, 4, 2, 4, 4, 4, 0, 0, 4, 0, 4, 3, 4, 0, 3, 3, 3, 1, 1, 3, 1, 1, 4, 2, 4, 3, 3, 4, 0, 0, 2, 0, 2, 4, 1, 3, 1, 3, 4, 0, 3, 4, 4, 2, 1, 4, 3, 0, 0, 1, 3, 4, 1, 3, 2, 1, 0, 3, 2, 4, 4, 0, 2, 2, 4, 4, 4, 1, 1, 0, 3, 2, 4, 4, 3, 0, 4, 1, 1, 4, 3, 2, 0, 3, 4, 4, 0, 3, 2, 1, 3, 0, 0, 2, 2, 2, 4, 2, 4, 0, 1, 4, 3, 0, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 3, 0, 3, 2, 0, 1, 4, 0, 3, 4, 1, 4, 4, 0, 4, 4, 2, 2, 0, 2, 3, 0, 2, 4, 4, 0, 1, 3, 4, 2, 0, 0, 1, 2, 0, 3, 4, 1, 1, 1, 3, 4, 1, 3, 4, 4, 0, 1, 2, 4, 4, 1, 3, 3, 0, 0, 1, 4, 1, 1, 2, 4, 1, 1, 0, 4, 1, 3, 0, 1, 0, 0, 0, 1, 2, 2, 4, 4, 4, 0, 2, 1, 3, 2, 4, 0, 0, 1, 4, 0, 1, 4, 3, 1, 1, 4, 2, 1, 1, 1, 3, 4, 4, 0, 3, 1, 4, 0, 4, 0, 3, 1, 3, 0, 0, 2, 3, 3, 4, 1, 1, 3, 3, 0, 2, 4, 0, 3, 0, 2, 4, 0, 0, 0, 1, 4, 3, 0, 0, 4, 2, 2, 0, 0, 0, 4, 2, 0, 3, 4, 1, 0, 4, 3, 3, 3, 0, 1, 2, 0, 3, 3, 1, 1, 4, 0, 4, 2, 1, 3, 0, 1, 0]
pubkeycol823 = [2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 3, 1, 2, 3, 2, 3, 4, 4, 4, 4, 0, 0, 0, 3, 2, 4, 3, 2, 1, 3, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 4, 1, 0, 1, 3, 0, 1, 3, 4, 1, 4, 4, 2, 1, 1, 2, 4, 2, 1, 3, 1, 0, 1, 1, 1, 2, 4, 1, 3, 1, 3, 1, 2, 4, 4, 4, 2, 2, 1, 3, 4, 2, 2, 4, 4, 2, 0, 0, 1, 3, 3, 0, 0, 4, 0, 4, 3, 4, 0, 4, 3, 3, 2, 1, 4, 4, 4, 0, 1, 0, 3, 3, 4, 2, 1, 2, 2, 2, 1, 3, 0, 1, 3, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 4, 4, 3, 3, 1, 4, 3, 2, 4, 4, 4, 0, 4, 4, 3, 3, 4, 1, 0, 1, 2, 1, 1, 4, 4, 4, 4, 1, 0, 0, 2, 2, 3, 4, 2, 3, 3, 0, 3, 0, 4, 0, 1, 4, 2, 1, 1, 2, 3, 2, 2, 2, 4, 2, 0, 4, 0, 4, 1, 4, 0, 1, 3, 3, 4, 1, 0, 3, 0, 0, 2, 4, 2, 4, 1, 3, 3, 3, 3, 0, 1, 1, 1, 3, 2, 3, 3, 1, 2, 1, 4, 4, 4, 0, 1, 1, 2, 4, 2, 0, 3, 3, 2, 3, 4, 3, 3, 2, 4, 0, 4, 2, 4, 2, 2, 3, 4, 2, 0, 2, 3, 0, 2, 3, 0, 3, 2, 0, 2, 0, 4, 2, 4, 2, 0, 1, 4, 3, 1, 1, 4, 3, 2, 1, 4, 3, 0, 4, 4, 3, 1, 0, 0, 3, 1, 0, 1, 4, 0, 4, 3, 2, 1, 3, 2, 2, 3, 2, 3, 4, 4, 0, 2, 2, 3, 0, 4, 1, 2, 0, 3, 0, 4, 3, 1, 4, 1, 3, 2, 3, 3, 1, 2, 4, 0, 0, 3, 4, 4, 3, 4, 2, 2, 0, 1, 2, 2, 0, 3, 0, 3, 4, 1, 4, 0, 3, 3, 2, 4, 0, 1, 2, 0, 3, 4, 0, 0, 3, 0, 1, 2, 2, 2, 3, 0, 3, 0, 0, 3, 2, 2, 0, 0, 4, 2, 0, 1, 2, 3, 1, 3, 4, 1, 1, 2, 2, 1, 2, 2, 3, 0, 4, 0, 2, 3]
pubkeycol824 = [1, 2, 4, 3, 2, 0, 2, 1, 0, 2, 4, 2, 3, 0, 2, 3, 2, 2, 4, 0, 0, 2, 2, 3, 2, 0, 2, 0, 4, 2, 3, 2, 0, 0, 0, 2, 3, 0, 0, 2, 0, 1, 2, 0, 4, 0, 3, 2, 1, 0, 4, 4, 0, 4, 2, 1, 4, 4, 0, 1, 1, 3, 2, 3, 3, 3, 4, 4, 4, 1, 4, 1, 3, 4, 3, 0, 4, 2, 0, 3, 1, 4, 0, 2, 3, 3, 4, 2, 4, 0, 4, 0, 1, 4, 2, 0, 0, 3, 2, 0, 2, 4, 0, 1, 3, 3, 0, 2, 1, 4, 1, 0, 1, 0, 0, 3, 3, 1, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 2, 3, 1, 3, 1, 0, 0, 1, 4, 3, 4, 4, 3, 3, 2, 0, 1, 3, 4, 4, 0, 0, 1, 0, 3, 2, 1, 3, 1, 4, 4, 3, 4, 0, 4, 4, 0, 3, 2, 4, 1, 0, 4, 2, 4, 2, 4, 4, 2, 1, 0, 4, 0, 2, 2, 4, 1, 0, 4, 2, 3, 1, 3, 0, 4, 4, 1, 4, 0, 2, 1, 3, 0, 0, 1, 2, 0, 1, 3, 0, 0, 2, 3, 3, 4, 0, 2, 3, 4, 0, 3, 2, 4, 1, 3, 4, 2, 3, 4, 1, 1, 4, 4, 4, 0, 1, 4, 3, 3, 0, 0, 4, 3, 0, 3, 2, 3, 2, 4, 2, 1, 4, 1, 3, 4, 4, 0, 4, 1, 0, 4, 4, 2, 2, 2, 2, 0, 3, 2, 3, 4, 3, 0, 4, 1, 4, 1, 4, 1, 3, 1, 3, 1, 2, 4, 2, 4, 4, 0, 1, 1, 1, 2, 2, 4, 2, 0, 1, 1, 1, 4, 2, 0, 4, 0, 0, 4, 1, 0, 1, 3, 2, 4, 3, 1, 1, 2, 1, 3, 0, 4, 1, 4, 2, 0, 2, 4, 1, 2, 4, 0, 2, 1, 2, 2, 0, 4, 2, 3, 2, 4, 3, 0, 1, 0, 0, 2, 1, 2, 4, 2, 3, 3, 4, 0, 0, 0, 1, 0, 2, 0, 2, 2, 4, 2, 2, 4, 4, 4, 0, 2, 2, 1, 4, 1, 1, 3, 0, 1, 2, 0, 4, 0, 4, 1, 3, 0, 1, 4, 4, 0, 1, 1, 1, 3, 1, 4, 2, 2, 0, 1, 3]
pubkeycol825 = [1, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 4, 3, 3, 0, 0, 2, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 3, 1, 1, 1, 1, 0, 2, 4, 0, 3, 0, 4, 1, 3, 4, 2, 1, 0, 1, 4, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 4, 4, 3, 2, 4, 4, 2, 3, 1, 2, 2, 2, 1, 0, 4, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 3, 0, 2, 4, 1, 4, 3, 1, 4, 1, 3, 0, 4, 4, 3, 0, 1, 2, 1, 2, 2, 1, 2, 0, 4, 3, 0, 4, 1, 4, 3, 4, 3, 0, 3, 1, 2, 4, 3, 2, 0, 3, 4, 0, 4, 3, 1, 2, 1, 2, 2, 3, 1, 1, 0, 1, 4, 2, 3, 1, 3, 3, 2, 2, 2, 1, 2, 0, 3, 4, 3, 1, 1, 0, 4, 4, 0, 2, 0, 3, 3, 0, 1, 2, 4, 3, 4, 2, 3, 4, 4, 2, 1, 3, 3, 2, 4, 1, 1, 3, 0, 0, 2, 3, 1, 2, 1, 1, 3, 3, 0, 0, 4, 1, 0, 1, 3, 3, 0, 2, 4, 2, 3, 2, 4, 0, 1, 2, 1, 1, 1, 1, 4, 2, 2, 0, 3, 1, 2, 0, 1, 2, 3, 3, 3, 3, 4, 4, 3, 0, 1, 2, 3, 4, 4, 0, 2, 4, 1, 0, 1, 0, 0, 3, 3, 1, 1, 3, 4, 3, 0, 3, 3, 4, 1, 3, 3, 3, 1, 3, 3, 0, 1, 1, 2, 1, 2, 3, 3, 4, 4, 0, 3, 3, 3, 3, 3, 1, 0, 2, 3, 4, 2, 0, 1, 2, 1, 3, 4, 2, 0, 0, 1, 0, 2, 0, 3, 1, 0, 1, 2, 0, 2, 4, 1, 1, 4, 3, 1, 0, 3, 3, 2, 1, 1, 0, 3, 0, 2, 1, 4, 0, 0, 1, 4, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 4, 3, 4, 2, 1, 1, 3, 0, 3, 2, 3, 4, 1, 3, 3, 3, 2, 0, 2, 1, 1, 4, 1, 0, 0, 2, 1, 0, 3, 2, 0, 4, 3, 4, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 1, 4, 2, 3, 2, 4, 1, 0, 0, 2, 2, 4, 2, 2, 1, 3]
pubkeycol826 = [3, 1, 3, 0, 2, 2, 3, 1, 3, 2, 2, 2, 0, 3, 0, 1, 2, 4, 2, 2, 4, 4, 4, 2, 0, 3, 3, 0, 3, 2, 2, 2, 4, 3, 4, 0, 3, 2, 3, 1, 1, 3, 3, 4, 2, 1, 1, 0, 0, 3, 3, 1, 4, 3, 2, 0, 2, 2, 3, 3, 1, 2, 0, 3, 3, 1, 0, 4, 4, 2, 4, 1, 1, 4, 3, 1, 0, 1, 4, 2, 1, 3, 4, 2, 1, 3, 0, 1, 1, 0, 3, 0, 1, 2, 2, 3, 4, 0, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 4, 3, 1, 0, 2, 4, 1, 1, 0, 1, 2, 4, 3, 0, 3, 1, 2, 3, 3, 3, 4, 0, 2, 1, 1, 2, 2, 1, 3, 4, 4, 0, 1, 2, 0, 4, 3, 3, 2, 0, 3, 4, 1, 0, 2, 4, 0, 4, 0, 0, 0, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 4, 3, 4, 1, 2, 2, 1, 2, 4, 2, 1, 0, 3, 1, 3, 3, 2, 0, 2, 3, 0, 2, 3, 4, 1, 4, 0, 4, 2, 3, 1, 2, 4, 0, 0, 0, 4, 2, 1, 4, 2, 4, 3, 4, 2, 1, 1, 3, 4, 2, 4, 4, 3, 0, 0, 4, 0, 3, 1, 4, 1, 1, 1, 1, 1, 2, 0, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 0, 0, 1, 2, 3, 1, 1, 3, 3, 3, 1, 0, 3, 2, 4, 0, 2, 3, 4, 0, 2, 2, 1, 3, 4, 1, 0, 3, 2, 1, 1, 3, 3, 1, 3, 1, 1, 0, 0, 0, 1, 0, 1, 3, 2, 3, 0, 1, 2, 4, 0, 1, 2, 4, 2, 4, 0, 0, 2, 3, 0, 0, 4, 2, 3, 3, 1, 2, 0, 3, 0, 3, 1, 3, 4, 2, 0, 3, 0, 0, 4, 2, 2, 0, 2, 4, 2, 4, 1, 1, 0, 2, 0, 1, 4, 1, 4, 1, 1, 0, 4, 1, 1, 4, 2, 3, 1, 0, 1, 3, 4, 3, 2, 1, 0, 0, 0, 1, 1, 1, 0, 4, 3, 3, 3, 4, 1, 4, 3, 4, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 0, 2, 4, 4, 1, 0, 0, 3, 1, 4, 4, 3, 4]
pubkeycol827 = [2, 1, 1, 2, 0, 4, 3, 3, 3, 0, 1, 1, 3, 2, 0, 2, 4, 1, 1, 0, 3, 4, 3, 3, 1, 2, 4, 1, 1, 4, 2, 0, 1, 2, 3, 1, 0, 2, 4, 0, 3, 4, 4, 1, 4, 1, 4, 2, 4, 4, 0, 4, 0, 0, 0, 3, 3, 0, 4, 1, 4, 3, 3, 4, 3, 1, 4, 1, 1, 4, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 3, 3, 4, 4, 0, 1, 2, 2, 4, 0, 0, 0, 1, 4, 4, 3, 2, 3, 4, 3, 0, 0, 2, 4, 0, 0, 4, 4, 1, 4, 1, 0, 2, 0, 1, 4, 1, 0, 0, 1, 1, 0, 1, 1, 4, 3, 3, 2, 0, 2, 4, 4, 2, 3, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 3, 0, 0, 3, 0, 3, 0, 3, 4, 3, 4, 1, 3, 3, 0, 3, 0, 4, 0, 2, 0, 0, 0, 4, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 3, 3, 0, 2, 3, 3, 2, 3, 3, 3, 4, 1, 1, 4, 3, 0, 0, 2, 3, 2, 0, 4, 3, 3, 0, 1, 1, 0, 3, 1, 0, 4, 4, 1, 2, 3, 2, 2, 4, 2, 3, 3, 1, 4, 1, 1, 2, 3, 2, 0, 0, 3, 2, 3, 2, 0, 2, 2, 1, 1, 4, 4, 4, 2, 4, 4, 1, 2, 4, 3, 0, 1, 3, 1, 4, 0, 4, 1, 2, 1, 4, 4, 2, 4, 3, 2, 2, 3, 1, 4, 4, 0, 2, 3, 2, 0, 4, 0, 3, 1, 3, 2, 0, 0, 4, 0, 1, 0, 1, 1, 4, 4, 2, 4, 3, 2, 1, 3, 2, 4, 4, 1, 0, 4, 3, 4, 0, 4, 3, 0, 0, 4, 3, 4, 0, 2, 0, 3, 2, 0, 3, 1, 3, 3, 2, 1, 4, 0, 1, 0, 4, 0, 3, 4, 1, 2, 1, 2, 0, 4, 1, 4, 1, 0, 2, 4, 1, 3, 0, 0, 1, 4, 3, 2, 3, 1, 4, 2, 3, 3, 0, 4, 2, 2, 3, 4, 0, 3, 4, 3, 2, 4, 1, 2, 1, 3, 0, 3, 4, 1, 2, 4, 2, 4, 2, 2, 0, 4, 3, 3, 4, 3, 0, 0, 3, 4, 4, 3]
pubkeycol828 = [0, 2, 3, 2, 2, 1, 0, 2, 4, 0, 3, 1, 2, 1, 0, 3, 2, 2, 4, 2, 1, 1, 0, 2, 1, 4, 2, 1, 1, 2, 1, 3, 0, 0, 3, 3, 2, 3, 2, 0, 1, 0, 3, 2, 0, 1, 1, 4, 3, 4, 4, 1, 2, 0, 2, 4, 1, 0, 0, 3, 0, 1, 0, 4, 1, 2, 2, 4, 1, 2, 2, 0, 4, 1, 0, 0, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 4, 0, 3, 3, 1, 0, 0, 1, 1, 0, 2, 1, 4, 4, 4, 1, 1, 4, 2, 1, 2, 2, 4, 0, 4, 2, 4, 4, 4, 3, 2, 2, 0, 4, 1, 1, 4, 4, 0, 4, 3, 3, 1, 3, 1, 3, 2, 1, 2, 0, 1, 0, 3, 1, 3, 1, 4, 1, 1, 4, 2, 4, 1, 0, 1, 1, 0, 2, 2, 2, 4, 3, 4, 0, 4, 4, 1, 1, 4, 2, 3, 2, 3, 0, 0, 4, 1, 2, 4, 4, 0, 2, 1, 3, 2, 0, 1, 0, 4, 2, 3, 3, 1, 3, 0, 4, 0, 1, 3, 3, 2, 0, 4, 4, 0, 2, 3, 1, 0, 4, 3, 2, 3, 2, 4, 4, 0, 1, 1, 2, 4, 2, 0, 0, 1, 0, 1, 0, 1, 0, 4, 3, 2, 2, 4, 2, 2, 4, 4, 1, 1, 1, 1, 1, 3, 4, 3, 2, 2, 3, 4, 2, 4, 4, 0, 0, 3, 4, 1, 2, 0, 0, 2, 1, 4, 3, 2, 4, 3, 0, 1, 2, 1, 4, 2, 1, 2, 4, 3, 4, 0, 2, 4, 4, 4, 2, 1, 0, 0, 3, 0, 3, 4, 3, 0, 1, 4, 4, 4, 4, 1, 3, 0, 2, 3, 3, 3, 2, 4, 3, 1, 2, 0, 3, 0, 2, 3, 4, 4, 1, 3, 2, 2, 4, 3, 1, 0, 0, 4, 1, 1, 3, 2, 0, 4, 0, 1, 4, 2, 4, 4, 4, 3, 4, 3, 3, 1, 4, 3, 1, 2, 4, 1, 0, 3, 1, 2, 1, 2, 0, 0, 1, 3, 1, 4, 0, 3, 2, 0, 2, 3, 0, 4, 1, 4, 4, 3, 0, 4, 3, 0, 1, 1, 1, 1, 4, 2, 4, 0, 2, 0, 4, 2, 4, 2, 1, 4, 3, 3, 0, 0, 2, 3, 4]
pubkeycol829 = [3, 3, 3, 2, 3, 0, 1, 3, 2, 2, 3, 1, 0, 2, 4, 0, 0, 2, 4, 1, 3, 2, 0, 1, 4, 2, 4, 0, 1, 1, 4, 3, 0, 4, 2, 3, 2, 0, 4, 1, 1, 2, 0, 4, 2, 0, 3, 2, 1, 2, 0, 1, 4, 4, 1, 0, 1, 0, 1, 2, 3, 0, 2, 3, 1, 0, 2, 3, 3, 3, 0, 2, 4, 3, 1, 4, 0, 4, 2, 4, 1, 2, 2, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 2, 0, 1, 0, 4, 2, 1, 3, 2, 3, 1, 1, 1, 4, 0, 2, 2, 4, 3, 2, 2, 1, 1, 3, 3, 4, 0, 3, 3, 1, 2, 4, 2, 2, 0, 1, 3, 4, 3, 2, 2, 3, 3, 2, 0, 1, 1, 1, 3, 4, 4, 2, 2, 4, 2, 1, 1, 3, 0, 3, 1, 0, 4, 4, 0, 0, 2, 0, 1, 4, 1, 0, 1, 1, 3, 0, 3, 3, 0, 0, 2, 0, 0, 3, 4, 4, 1, 4, 2, 1, 3, 2, 2, 3, 1, 4, 3, 3, 3, 2, 2, 2, 2, 4, 3, 4, 4, 1, 4, 3, 2, 1, 3, 2, 3, 0, 2, 0, 3, 1, 2, 1, 1, 0, 1, 0, 1, 4, 3, 0, 4, 2, 0, 4, 0, 1, 0, 0, 3, 0, 4, 0, 2, 4, 3, 3, 0, 0, 4, 4, 0, 3, 0, 3, 2, 4, 3, 0, 2, 4, 0, 1, 2, 3, 0, 4, 4, 4, 4, 1, 0, 4, 4, 1, 2, 4, 0, 4, 4, 2, 0, 2, 4, 4, 3, 4, 4, 3, 1, 2, 0, 2, 1, 3, 3, 0, 4, 3, 2, 0, 1, 4, 3, 2, 1, 4, 3, 3, 4, 4, 4, 2, 2, 0, 4, 0, 2, 4, 1, 2, 4, 3, 2, 1, 0, 2, 0, 0, 0, 0, 3, 4, 2, 2, 2, 3, 0, 1, 4, 2, 1, 1, 0, 1, 1, 2, 2, 0, 4, 4, 3, 4, 2, 4, 0, 2, 2, 4, 2, 1, 2, 3, 1, 0, 3, 3, 1, 1, 2, 3, 4, 2, 4, 2, 4, 2, 4, 3, 4, 1, 3, 0, 4, 1, 1, 4, 3, 1, 2, 3, 1, 2, 3, 0, 3, 2, 0, 0, 1, 4, 2, 4, 0, 0, 0, 4, 3]
pubkeycol830 = [0, 4, 4, 4, 2, 3, 0, 2, 1, 4, 3, 0, 4, 3, 4, 0, 4, 1, 1, 2, 2, 4, 1, 4, 4, 1, 0, 1, 2, 2, 4, 3, 1, 3, 1, 1, 2, 0, 1, 4, 0, 1, 2, 4, 0, 0, 0, 0, 4, 2, 2, 2, 0, 1, 2, 2, 0, 3, 4, 0, 1, 3, 0, 4, 0, 0, 0, 2, 1, 0, 3, 1, 3, 2, 0, 0, 0, 3, 3, 0, 1, 4, 1, 0, 0, 0, 1, 0, 4, 4, 3, 0, 2, 3, 1, 3, 0, 0, 1, 3, 3, 3, 4, 3, 3, 2, 4, 4, 1, 1, 2, 3, 2, 3, 1, 3, 3, 4, 2, 2, 0, 1, 2, 2, 3, 4, 2, 0, 1, 3, 3, 4, 0, 0, 0, 3, 4, 4, 4, 1, 1, 3, 4, 0, 0, 2, 3, 0, 1, 4, 2, 3, 3, 1, 2, 4, 0, 4, 4, 3, 4, 1, 2, 2, 1, 0, 0, 0, 2, 3, 0, 1, 4, 3, 4, 0, 0, 4, 0, 0, 1, 4, 2, 1, 1, 4, 1, 4, 3, 0, 1, 2, 2, 2, 4, 1, 4, 4, 2, 4, 3, 4, 2, 1, 4, 3, 0, 2, 0, 2, 1, 4, 1, 4, 4, 3, 0, 3, 3, 1, 1, 3, 2, 3, 3, 1, 3, 2, 3, 3, 0, 2, 4, 4, 0, 4, 2, 0, 3, 2, 3, 0, 2, 0, 4, 1, 0, 0, 4, 0, 4, 0, 2, 4, 2, 3, 0, 3, 3, 3, 2, 1, 0, 3, 3, 2, 2, 0, 2, 3, 3, 0, 2, 2, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 1, 1, 2, 3, 2, 4, 0, 4, 2, 4, 0, 1, 1, 3, 2, 2, 2, 2, 0, 0, 3, 1, 3, 1, 2, 1, 1, 0, 1, 3, 3, 4, 0, 0, 4, 2, 1, 2, 4, 1, 0, 2, 0, 2, 4, 4, 2, 1, 4, 2, 0, 1, 3, 0, 2, 0, 3, 4, 2, 1, 0, 1, 2, 4, 4, 2, 4, 0, 1, 4, 1, 3, 1, 0, 3, 3, 3, 4, 2, 4, 0, 0, 2, 3, 2, 2, 0, 4, 3, 3, 2, 1, 4, 0, 0, 3, 2, 4, 4, 0, 2, 0, 1, 0, 1, 4, 2, 3, 2]
pubkeycol831 = [3, 4, 4, 0, 1, 3, 1, 4, 3, 1, 2, 2, 4, 2, 2, 3, 0, 3, 3, 3, 3, 1, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 0, 4, 3, 4, 3, 1, 3, 0, 3, 1, 3, 1, 2, 1, 4, 1, 1, 0, 4, 4, 3, 0, 2, 0, 0, 4, 0, 3, 4, 1, 1, 2, 2, 2, 2, 4, 4, 4, 2, 1, 3, 4, 4, 3, 4, 4, 4, 0, 3, 2, 1, 4, 2, 1, 3, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 4, 0, 3, 0, 0, 3, 2, 2, 4, 2, 1, 1, 2, 4, 3, 3, 4, 4, 3, 1, 1, 3, 1, 3, 2, 4, 4, 4, 2, 2, 4, 1, 0, 2, 1, 0, 1, 0, 4, 3, 1, 2, 4, 2, 2, 3, 4, 3, 4, 0, 2, 3, 1, 4, 0, 4, 0, 4, 2, 2, 3, 2, 4, 1, 4, 1, 1, 2, 3, 4, 1, 4, 0, 0, 0, 4, 2, 1, 4, 3, 2, 2, 4, 2, 2, 0, 3, 0, 2, 2, 1, 4, 3, 1, 0, 1, 3, 2, 4, 4, 4, 1, 4, 1, 1, 1, 3, 2, 2, 2, 1, 2, 4, 4, 0, 1, 1, 1, 4, 3, 0, 0, 0, 4, 4, 1, 3, 3, 0, 0, 1, 3, 2, 1, 2, 3, 2, 1, 0, 2, 3, 2, 3, 2, 2, 4, 0, 1, 0, 1, 4, 3, 2, 0, 4, 1, 3, 1, 2, 2, 4, 3, 4, 2, 1, 4, 2, 4, 1, 1, 4, 4, 3, 1, 0, 1, 2, 1, 3, 4, 4, 1, 3, 1, 3, 0, 4, 4, 0, 3, 1, 0, 2, 1, 2, 0, 0, 3, 3, 2, 0, 1, 4, 3, 3, 0, 2, 3, 0, 3, 2, 0, 1, 4, 2, 2, 1, 0, 0, 4, 1, 1, 1, 0, 4, 2, 1, 1, 1, 2, 3, 1, 4, 3, 4, 2, 4, 2, 0, 0, 3, 3, 4, 3, 0, 2, 3, 4, 0, 2, 2, 1, 0, 2, 1, 4, 2, 2, 4, 1, 3, 2, 4, 0, 0, 0, 4, 1, 0, 0, 1, 4, 0, 3, 2, 1, 2, 4, 2, 2, 2, 2, 4, 2, 4, 1, 1, 1, 4, 1, 0, 0, 0, 4, 1, 4, 4, 1, 0]
pubkeycol832 = [2, 3, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 2, 1, 0, 4, 3, 1, 3, 1, 4, 3, 0, 0, 0, 3, 0, 2, 1, 3, 2, 2, 2, 3, 1, 4, 3, 0, 2, 2, 0, 1, 0, 3, 2, 1, 4, 0, 0, 0, 0, 4, 0, 4, 4, 3, 3, 3, 3, 1, 2, 2, 1, 4, 3, 2, 1, 3, 2, 1, 4, 3, 1, 0, 1, 4, 4, 2, 0, 4, 2, 1, 4, 4, 1, 3, 4, 0, 0, 4, 0, 1, 3, 2, 1, 1, 0, 1, 1, 2, 0, 3, 2, 2, 4, 4, 4, 2, 3, 0, 4, 0, 4, 2, 0, 1, 4, 0, 0, 0, 4, 0, 1, 0, 2, 4, 0, 0, 2, 3, 3, 0, 1, 0, 4, 0, 1, 0, 2, 1, 3, 4, 1, 2, 4, 3, 2, 1, 4, 1, 3, 2, 3, 4, 2, 1, 2, 1, 1, 3, 0, 3, 3, 4, 0, 3, 2, 0, 0, 0, 1, 4, 0, 3, 4, 0, 3, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 3, 1, 2, 2, 3, 3, 4, 0, 0, 4, 1, 4, 2, 3, 3, 1, 0, 1, 4, 4, 0, 1, 0, 4, 0, 1, 1, 4, 4, 1, 4, 2, 2, 0, 1, 1, 2, 1, 1, 1, 4, 3, 2, 2, 4, 3, 0, 0, 0, 3, 3, 0, 1, 3, 0, 3, 2, 3, 2, 0, 3, 1, 1, 0, 3, 0, 1, 1, 0, 4, 4, 2, 1, 3, 2, 2, 4, 2, 2, 0, 3, 4, 4, 4, 2, 4, 4, 4, 4, 2, 3, 1, 4, 1, 0, 0, 0, 3, 0, 4, 4, 3, 3, 1, 4, 1, 1, 1, 1, 1, 2, 1, 0, 1, 4, 3, 2, 1, 4, 2, 2, 3, 4, 4, 2, 1, 4, 4, 0, 1, 3, 2, 0, 3, 3, 2, 0, 4, 2, 1, 2, 4, 4, 2, 2, 2, 0, 0, 4, 1, 1, 1, 2, 1, 3, 4, 0, 0, 0, 4, 0, 3, 3, 2, 2, 0, 4, 0, 4, 4, 2, 3, 3, 2, 2, 0, 2, 2, 3, 1, 1, 2, 0, 1, 0, 3, 2, 0, 0, 0, 1, 1, 3, 1, 2, 4, 0, 3, 0, 1, 2, 4, 0, 2, 1, 4, 1, 0]
pubkeycol833 = [0, 4, 3, 0, 0, 3, 3, 3, 4, 4, 4, 3, 2, 1, 3, 3, 0, 2, 4, 1, 2, 0, 3, 2, 1, 1, 0, 1, 2, 4, 0, 0, 1, 2, 3, 4, 1, 2, 4, 4, 1, 4, 3, 0, 4, 4, 4, 0, 1, 2, 1, 3, 0, 1, 3, 2, 4, 3, 4, 2, 3, 4, 2, 1, 1, 3, 1, 4, 3, 0, 0, 3, 1, 1, 3, 1, 2, 2, 2, 3, 2, 4, 1, 1, 4, 4, 1, 1, 2, 2, 0, 4, 4, 2, 0, 4, 3, 0, 3, 0, 3, 0, 0, 0, 1, 4, 1, 0, 4, 4, 2, 1, 3, 0, 2, 2, 0, 0, 3, 2, 2, 3, 3, 2, 4, 0, 2, 1, 1, 0, 2, 1, 4, 3, 1, 2, 1, 3, 3, 4, 2, 1, 1, 3, 0, 2, 2, 4, 4, 3, 1, 1, 0, 0, 1, 0, 3, 4, 3, 3, 1, 3, 1, 4, 0, 2, 3, 1, 2, 1, 4, 2, 1, 2, 2, 1, 3, 3, 2, 2, 3, 0, 1, 4, 0, 0, 2, 3, 4, 0, 1, 1, 3, 3, 3, 2, 3, 2, 0, 1, 1, 4, 1, 3, 3, 2, 0, 1, 0, 2, 1, 3, 1, 1, 1, 4, 1, 4, 0, 1, 3, 1, 0, 2, 2, 2, 2, 3, 4, 4, 3, 4, 0, 2, 3, 4, 1, 2, 3, 0, 1, 0, 0, 1, 1, 4, 1, 4, 2, 0, 2, 4, 0, 0, 0, 3, 3, 1, 4, 2, 2, 3, 4, 4, 3, 0, 3, 0, 3, 2, 2, 4, 3, 3, 0, 3, 1, 2, 0, 1, 2, 4, 0, 4, 3, 0, 3, 1, 1, 2, 1, 4, 3, 0, 4, 4, 0, 1, 1, 4, 3, 4, 2, 0, 4, 4, 3, 1, 2, 3, 3, 2, 3, 3, 4, 2, 0, 3, 0, 1, 3, 4, 1, 1, 4, 1, 1, 1, 0, 1, 3, 2, 1, 4, 1, 1, 2, 1, 1, 2, 1, 3, 0, 2, 4, 2, 4, 2, 3, 0, 2, 1, 2, 4, 3, 3, 1, 4, 1, 1, 4, 0, 1, 4, 1, 3, 1, 1, 2, 1, 1, 0, 0, 2, 2, 4, 2, 3, 1, 4, 3, 3, 2, 0, 4, 1, 2, 1, 4, 4, 0, 2, 0, 1, 0, 3, 3, 1, 2, 4]
pubkeycol834 = [4, 1, 4, 0, 3, 4, 3, 2, 4, 1, 4, 3, 0, 1, 3, 3, 0, 0, 3, 4, 0, 1, 1, 1, 1, 3, 4, 2, 3, 3, 2, 1, 0, 1, 4, 1, 2, 1, 0, 2, 1, 2, 1, 0, 4, 0, 0, 3, 4, 0, 1, 2, 3, 0, 1, 2, 1, 0, 2, 2, 2, 3, 2, 2, 2, 0, 3, 1, 3, 2, 3, 0, 0, 0, 3, 1, 4, 1, 4, 1, 2, 4, 0, 4, 0, 3, 1, 4, 1, 1, 1, 0, 3, 0, 4, 4, 3, 4, 4, 4, 2, 1, 1, 2, 4, 3, 2, 4, 1, 4, 2, 2, 4, 2, 2, 1, 2, 1, 2, 4, 0, 3, 0, 2, 4, 3, 2, 1, 2, 1, 1, 4, 1, 3, 2, 2, 1, 4, 0, 1, 2, 4, 2, 2, 4, 4, 0, 3, 2, 0, 0, 2, 2, 0, 4, 4, 3, 1, 2, 0, 1, 1, 4, 0, 4, 4, 1, 3, 0, 2, 3, 0, 3, 1, 3, 0, 2, 1, 3, 2, 4, 4, 2, 1, 3, 3, 4, 4, 1, 0, 2, 2, 1, 3, 1, 1, 2, 0, 4, 1, 2, 4, 1, 4, 0, 0, 3, 2, 4, 3, 0, 1, 3, 0, 2, 3, 0, 3, 4, 0, 1, 3, 4, 2, 0, 2, 4, 4, 4, 0, 3, 0, 0, 2, 3, 4, 4, 3, 2, 2, 2, 3, 3, 3, 1, 4, 3, 2, 0, 1, 0, 2, 4, 3, 4, 2, 3, 3, 0, 0, 0, 4, 3, 2, 0, 1, 1, 1, 0, 3, 4, 2, 1, 3, 0, 1, 3, 4, 4, 2, 0, 2, 4, 1, 4, 3, 1, 0, 3, 3, 1, 4, 0, 1, 2, 0, 1, 4, 4, 0, 4, 0, 4, 2, 0, 3, 3, 0, 2, 1, 2, 0, 4, 0, 2, 0, 3, 1, 4, 3, 2, 4, 1, 0, 3, 2, 2, 0, 4, 2, 0, 4, 4, 2, 2, 1, 4, 0, 1, 4, 1, 1, 2, 1, 0, 2, 1, 2, 1, 3, 2, 0, 3, 2, 0, 4, 2, 4, 2, 4, 3, 3, 0, 2, 0, 1, 2, 2, 1, 0, 3, 0, 4, 1, 3, 1, 3, 1, 1, 4, 3, 1, 0, 2, 0, 2, 4, 3, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1]
pubkeycol835 = [0, 3, 0, 3, 4, 1, 3, 4, 4, 2, 4, 3, 0, 4, 2, 0, 2, 1, 0, 3, 4, 4, 2, 4, 3, 3, 2, 3, 0, 3, 1, 1, 0, 0, 1, 3, 3, 2, 3, 4, 3, 1, 2, 0, 0, 3, 0, 4, 3, 2, 0, 3, 3, 1, 0, 3, 0, 4, 0, 3, 3, 0, 3, 4, 0, 0, 1, 3, 2, 1, 1, 1, 0, 0, 3, 1, 2, 3, 1, 0, 3, 2, 0, 1, 4, 1, 2, 2, 2, 0, 1, 1, 4, 2, 0, 1, 0, 4, 1, 2, 4, 0, 1, 3, 1, 4, 0, 2, 1, 2, 4, 0, 0, 4, 2, 1, 2, 0, 1, 0, 2, 4, 2, 2, 1, 4, 1, 1, 3, 1, 2, 2, 2, 0, 2, 3, 3, 1, 4, 0, 3, 0, 2, 4, 0, 3, 2, 1, 4, 4, 1, 1, 0, 0, 1, 1, 3, 0, 0, 2, 0, 0, 4, 1, 4, 2, 4, 1, 4, 1, 3, 0, 4, 2, 1, 3, 1, 2, 4, 1, 1, 1, 1, 3, 0, 0, 2, 1, 3, 0, 0, 2, 4, 2, 3, 4, 0, 1, 0, 0, 2, 1, 3, 2, 4, 3, 4, 2, 2, 4, 3, 2, 2, 1, 0, 0, 0, 0, 3, 2, 4, 3, 0, 3, 2, 4, 2, 2, 0, 4, 4, 0, 3, 2, 0, 0, 4, 3, 4, 1, 0, 1, 3, 3, 1, 0, 4, 0, 3, 2, 3, 1, 2, 3, 1, 1, 4, 0, 2, 2, 3, 4, 3, 0, 2, 2, 4, 1, 4, 3, 4, 2, 0, 3, 4, 3, 4, 1, 1, 4, 4, 2, 3, 1, 1, 4, 0, 0, 1, 3, 3, 0, 3, 0, 4, 4, 3, 0, 3, 4, 4, 2, 2, 3, 2, 4, 2, 1, 2, 4, 4, 1, 4, 4, 4, 0, 3, 1, 1, 0, 0, 0, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 3, 1, 0, 3, 2, 4, 2, 0, 3, 2, 1, 0, 2, 4, 4, 3, 1, 4, 1, 1, 4, 2, 3, 4, 1, 2, 0, 1, 1, 1, 2, 3, 0, 3, 1, 4, 1, 1, 1, 4, 2, 2, 0, 1, 1, 2, 4, 3, 3, 2, 1, 0, 1, 4, 4, 0, 1, 1, 2]
pubkeycol836 = [2, 3, 1, 2, 4, 0, 3, 1, 3, 2, 0, 4, 1, 4, 3, 2, 0, 1, 3, 0, 0, 3, 0, 3, 1, 4, 2, 4, 3, 4, 2, 2, 0, 0, 3, 3, 1, 1, 0, 0, 1, 0, 2, 3, 0, 0, 4, 4, 4, 3, 0, 1, 2, 2, 2, 1, 3, 3, 0, 4, 1, 1, 4, 3, 2, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 2, 1, 1, 1, 0, 2, 1, 2, 3, 2, 3, 3, 1, 1, 3, 2, 3, 4, 1, 1, 3, 3, 4, 1, 0, 1, 2, 0, 4, 1, 4, 2, 2, 0, 1, 3, 3, 2, 4, 1, 1, 4, 1, 2, 0, 1, 2, 4, 1, 3, 1, 0, 2, 1, 2, 1, 1, 1, 4, 3, 0, 1, 0, 0, 3, 2, 3, 2, 3, 2, 3, 0, 3, 0, 2, 1, 2, 4, 1, 4, 2, 0, 2, 4, 4, 4, 2, 4, 2, 0, 1, 1, 4, 1, 0, 3, 3, 1, 1, 3, 2, 0, 4, 4, 1, 0, 3, 4, 0, 4, 3, 3, 3, 2, 0, 1, 3, 3, 1, 0, 3, 4, 2, 4, 0, 1, 0, 3, 1, 1, 0, 0, 2, 3, 3, 1, 1, 2, 2, 0, 2, 4, 0, 3, 2, 1, 1, 2, 3, 0, 3, 4, 0, 4, 2, 1, 0, 3, 0, 4, 1, 4, 3, 2, 0, 3, 1, 0, 0, 1, 2, 3, 1, 0, 4, 0, 1, 1, 4, 0, 0, 4, 3, 0, 0, 2, 1, 1, 4, 0, 1, 2, 1, 2, 2, 3, 3, 0, 4, 2, 4, 2, 3, 2, 0, 3, 0, 2, 3, 4, 0, 0, 1, 4, 4, 2, 0, 4, 3, 4, 4, 1, 2, 2, 1, 4, 4, 4, 4, 3, 1, 1, 0, 4, 4, 0, 3, 4, 3, 0, 4, 1, 2, 2, 4, 2, 0, 0, 4, 0, 2, 0, 1, 1, 2, 2, 1, 3, 2, 1, 4, 2, 0, 1, 4, 1, 0, 0, 0, 1, 0, 0, 3, 3, 0, 4, 2, 2, 1, 3, 4, 1, 1, 1, 4, 4, 4, 0, 4, 2, 1, 3, 1, 0, 0, 0, 0, 0, 4, 1, 2, 4, 3, 3, 1, 4, 2, 2, 1, 3, 4, 1, 1, 2, 1, 2, 4, 1, 3, 3, 1, 4, 2, 0, 2]
pubkeycol837 = [4, 0, 1, 3, 2, 2, 0, 2, 3, 2, 2, 1, 2, 2, 1, 3, 3, 2, 1, 0, 4, 0, 1, 4, 3, 2, 2, 2, 4, 0, 4, 1, 0, 2, 2, 3, 2, 3, 1, 4, 4, 3, 1, 0, 1, 2, 2, 4, 2, 4, 1, 4, 1, 0, 2, 1, 4, 1, 2, 3, 3, 1, 0, 4, 4, 2, 0, 0, 3, 1, 4, 4, 0, 4, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 4, 3, 0, 2, 1, 4, 2, 3, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 4, 2, 1, 0, 1, 2, 4, 4, 4, 0, 2, 0, 0, 1, 4, 2, 3, 0, 3, 3, 4, 4, 2, 3, 4, 3, 0, 1, 3, 3, 3, 1, 0, 0, 1, 4, 0, 3, 0, 3, 2, 3, 4, 0, 0, 1, 3, 1, 3, 2, 0, 0, 1, 0, 1, 4, 3, 1, 2, 1, 2, 0, 1, 2, 2, 4, 4, 3, 3, 1, 1, 1, 4, 4, 2, 0, 3, 4, 0, 4, 1, 0, 1, 0, 1, 1, 0, 2, 2, 3, 1, 4, 0, 0, 2, 4, 4, 3, 0, 3, 4, 3, 3, 2, 0, 3, 4, 4, 0, 0, 3, 4, 0, 0, 0, 4, 1, 3, 3, 2, 1, 2, 0, 3, 3, 0, 3, 2, 1, 2, 4, 2, 2, 3, 0, 1, 0, 0, 3, 2, 3, 4, 0, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 1, 0, 3, 2, 1, 4, 4, 1, 2, 0, 4, 1, 0, 4, 1, 3, 0, 3, 1, 2, 4, 0, 1, 3, 4, 2, 0, 4, 0, 0, 1, 2, 4, 1, 1, 1, 3, 1, 3, 4, 2, 3, 1, 1, 1, 3, 3, 3, 2, 4, 2, 1, 0, 3, 2, 4, 2, 3, 2, 4, 2, 4, 3, 3, 0, 4, 0, 1, 4, 3, 3, 4, 4, 3, 2, 0, 1, 2, 0, 2, 3, 0, 4, 3, 4, 2, 2, 1, 0, 0, 4, 3, 3, 3, 3, 4, 2, 0, 3, 2, 3, 4, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 3, 0, 0, 2, 3, 4, 3, 4, 0, 2, 0, 0, 2, 0, 4, 1, 2, 3, 1, 4, 3, 4, 2, 4, 1]
pubkeycol838 = [3, 4, 0, 0, 0, 0, 2, 3, 3, 1, 2, 1, 3, 0, 2, 2, 1, 3, 1, 3, 1, 3, 2, 3, 3, 2, 4, 0, 2, 2, 1, 3, 4, 4, 4, 0, 1, 2, 4, 4, 1, 3, 3, 2, 4, 2, 3, 0, 3, 0, 3, 1, 1, 4, 0, 1, 4, 0, 4, 0, 3, 4, 3, 1, 3, 1, 0, 0, 2, 4, 3, 3, 0, 1, 1, 3, 3, 1, 4, 3, 0, 3, 1, 2, 2, 3, 4, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 3, 1, 0, 0, 1, 2, 2, 3, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 3, 3, 0, 3, 0, 3, 1, 3, 4, 2, 1, 3, 3, 2, 3, 4, 2, 0, 2, 0, 1, 0, 2, 4, 2, 0, 0, 3, 4, 1, 2, 4, 3, 0, 2, 2, 2, 2, 3, 4, 2, 0, 4, 4, 1, 0, 2, 3, 1, 1, 2, 2, 2, 3, 1, 0, 0, 3, 2, 3, 0, 2, 1, 1, 3, 1, 1, 0, 1, 4, 2, 2, 1, 4, 3, 0, 4, 2, 3, 0, 2, 3, 2, 4, 4, 0, 3, 4, 4, 0, 2, 2, 1, 4, 0, 4, 2, 2, 4, 4, 2, 2, 2, 0, 0, 3, 1, 2, 3, 4, 3, 3, 2, 3, 1, 3, 1, 0, 3, 2, 4, 1, 3, 2, 4, 2, 0, 3, 2, 1, 0, 2, 1, 1, 1, 1, 1, 3, 0, 3, 3, 0, 1, 1, 2, 0, 0, 0, 2, 1, 3, 2, 0, 2, 0, 2, 4, 2, 3, 1, 4, 0, 0, 1, 3, 2, 3, 1, 3, 4, 0, 0, 4, 3, 0, 2, 0, 4, 2, 2, 1, 4, 4, 3, 1, 4, 1, 0, 4, 3, 2, 0, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 3, 0, 3, 0, 0, 1, 0, 0, 0, 4, 3, 1, 4, 2, 4, 2, 1, 2, 3, 2, 1, 4, 1, 4, 1, 3, 1, 1, 2, 2, 1, 2, 1, 3, 1, 0, 3, 0, 0, 1, 3, 0, 3, 1, 4, 4, 2, 4, 4, 1, 0, 3, 4, 4, 3, 0, 4, 4, 3, 1, 4, 0, 2, 1, 1, 3, 2, 1, 2, 4, 3, 4, 1, 3, 1, 0, 0, 4, 1, 2, 0, 1]
pubkeycol839 = [3, 3, 0, 1, 2, 4, 3, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 3, 4, 0, 1, 4, 4, 0, 4, 1, 4, 3, 0, 0, 3, 2, 2, 0, 3, 0, 0, 0, 2, 1, 1, 3, 4, 4, 1, 0, 0, 2, 3, 0, 0, 2, 3, 0, 2, 3, 4, 2, 3, 1, 0, 3, 4, 4, 4, 1, 0, 4, 0, 1, 2, 3, 4, 3, 3, 1, 4, 0, 0, 0, 1, 3, 1, 1, 1, 0, 3, 1, 2, 3, 3, 4, 0, 2, 3, 0, 0, 1, 0, 0, 2, 0, 4, 2, 1, 1, 1, 4, 0, 0, 3, 1, 0, 2, 2, 4, 0, 4, 4, 3, 0, 4, 4, 1, 2, 1, 3, 1, 3, 2, 2, 2, 1, 1, 2, 4, 0, 4, 3, 1, 4, 4, 2, 1, 1, 0, 4, 3, 2, 0, 1, 4, 4, 0, 2, 1, 4, 1, 0, 1, 2, 3, 3, 1, 4, 2, 1, 0, 1, 2, 0, 2, 0, 1, 4, 3, 3, 0, 1, 2, 3, 4, 2, 1, 0, 0, 3, 4, 1, 0, 3, 0, 4, 2, 4, 3, 4, 3, 2, 1, 4, 1, 2, 4, 1, 2, 2, 3, 1, 0, 2, 2, 3, 2, 2, 2, 0, 1, 2, 0, 0, 0, 3, 0, 4, 1, 4, 1, 0, 4, 2, 3, 2, 0, 1, 3, 3, 4, 3, 3, 4, 3, 4, 2, 1, 0, 4, 1, 2, 4, 3, 3, 2, 2, 3, 2, 1, 3, 3, 2, 2, 4, 2, 1, 2, 1, 3, 0, 3, 1, 4, 3, 1, 3, 1, 4, 1, 4, 2, 4, 0, 3, 1, 0, 2, 0, 0, 0, 0, 1, 3, 3, 4, 0, 0, 1, 2, 1, 0, 3, 2, 0, 3, 3, 3, 2, 2, 1, 0, 1, 0, 4, 3, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 2, 3, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 1, 3, 1, 2, 3, 4, 1, 3, 0, 3, 4, 4, 0, 3, 4, 4, 3, 3, 1, 1, 3, 0, 0, 0, 1, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 2, 4, 1, 1, 0, 2, 0, 0, 4, 4, 3, 3, 1, 3, 3, 0, 4, 2, 4, 4, 0, 1, 0, 1]
pubkeycol840 = [3, 4, 2, 4, 1, 3, 3, 0, 2, 3, 4, 0, 3, 3, 2, 2, 4, 2, 0, 1, 4, 2, 0, 0, 1, 2, 4, 1, 2, 4, 2, 3, 3, 2, 3, 0, 0, 3, 2, 3, 3, 4, 4, 1, 2, 0, 4, 4, 3, 3, 1, 4, 1, 1, 3, 0, 3, 0, 0, 3, 3, 1, 0, 1, 2, 0, 1, 1, 0, 4, 1, 3, 3, 2, 3, 1, 4, 2, 2, 4, 1, 4, 0, 3, 2, 1, 2, 2, 2, 1, 3, 0, 0, 2, 3, 0, 0, 3, 1, 4, 2, 2, 3, 4, 3, 3, 4, 1, 3, 2, 1, 1, 2, 0, 4, 4, 4, 4, 4, 4, 4, 3, 1, 2, 1, 0, 1, 3, 0, 4, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 4, 3, 1, 0, 4, 0, 1, 4, 4, 2, 3, 0, 2, 0, 0, 1, 1, 2, 2, 4, 0, 3, 0, 0, 0, 2, 4, 0, 1, 0, 2, 0, 4, 2, 1, 1, 4, 1, 1, 0, 4, 4, 2, 3, 4, 3, 1, 4, 2, 4, 1, 3, 0, 2, 4, 1, 0, 1, 0, 3, 3, 4, 1, 2, 2, 2, 1, 4, 3, 0, 3, 1, 0, 3, 0, 2, 0, 3, 1, 2, 1, 4, 3, 1, 0, 1, 0, 3, 2, 1, 0, 1, 1, 4, 3, 2, 4, 3, 1, 2, 0, 3, 1, 4, 1, 1, 3, 3, 3, 1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 0, 2, 2, 1, 0, 2, 3, 3, 2, 4, 4, 2, 2, 0, 2, 0, 1, 2, 4, 4, 1, 1, 0, 4, 2, 1, 3, 4, 0, 4, 2, 2, 0, 3, 3, 4, 1, 4, 2, 1, 2, 3, 0, 3, 2, 0, 0, 3, 3, 0, 0, 2, 2, 2, 0, 2, 3, 3, 4, 1, 2, 4, 1, 3, 3, 2, 4, 4, 4, 0, 1, 2, 2, 2, 4, 0, 1, 2, 1, 2, 2, 1, 1, 0, 4, 4, 1, 2, 2, 2, 3, 2, 3, 1, 0, 0, 3, 0, 4, 1, 1, 2, 0, 3, 2, 2, 0, 3, 2, 3, 0, 3, 0, 0, 2, 1, 4, 1, 4, 4, 3, 4, 0, 0, 3, 0, 4, 2, 0, 2, 2, 1, 3, 2, 1, 3, 4, 1, 0]
pubkeycol841 = [0, 1, 1, 0, 4, 3, 3, 4, 0, 3, 3, 2, 4, 0, 2, 3, 1, 2, 3, 3, 2, 3, 0, 3, 2, 4, 1, 2, 2, 1, 4, 0, 2, 0, 3, 4, 3, 2, 1, 1, 1, 4, 4, 3, 4, 2, 0, 1, 1, 4, 3, 0, 4, 2, 1, 4, 3, 1, 3, 2, 2, 2, 4, 1, 0, 0, 1, 0, 2, 0, 2, 4, 0, 2, 3, 2, 1, 0, 2, 0, 1, 2, 0, 3, 2, 0, 4, 4, 0, 1, 0, 0, 1, 0, 4, 4, 3, 2, 1, 4, 0, 4, 3, 0, 4, 0, 4, 1, 1, 4, 2, 2, 3, 0, 2, 3, 2, 1, 2, 0, 0, 0, 3, 4, 0, 0, 4, 2, 4, 3, 1, 1, 2, 3, 3, 4, 1, 2, 3, 1, 4, 0, 3, 1, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 4, 1, 0, 1, 3, 3, 3, 2, 2, 4, 4, 0, 4, 4, 1, 1, 3, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 4, 2, 3, 4, 4, 3, 1, 2, 1, 0, 2, 1, 2, 0, 4, 2, 2, 0, 0, 1, 0, 4, 1, 2, 0, 2, 4, 0, 3, 3, 4, 4, 1, 2, 0, 3, 4, 1, 3, 1, 1, 3, 1, 1, 2, 0, 1, 3, 0, 1, 4, 3, 1, 0, 1, 0, 4, 2, 1, 4, 3, 0, 1, 0, 2, 3, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 4, 2, 1, 3, 4, 4, 3, 1, 2, 1, 0, 4, 4, 0, 3, 4, 0, 2, 3, 2, 2, 0, 2, 3, 3, 1, 3, 2, 1, 1, 1, 1, 4, 4, 3, 3, 4, 3, 0, 3, 1, 1, 2, 1, 0, 2, 2, 2, 4, 3, 0, 1, 1, 1, 4, 0, 0, 2, 4, 4, 2, 1, 0, 3, 4, 4, 1, 0, 1, 4, 2, 0, 2, 3, 0, 0, 2, 2, 3, 2, 0, 3, 3, 4, 1, 0, 3, 2, 4, 1, 1, 3, 3, 4, 1, 2, 3, 4, 0, 4, 1, 4, 4, 2, 2, 2, 4, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 4, 0, 0, 3, 2, 2, 1, 1, 4, 4, 0, 3, 2, 2, 0, 4, 2]
pubkeycol842 = [2, 4, 2, 4, 4, 4, 4, 1, 3, 1, 1, 1, 3, 0, 0, 3, 2, 3, 3, 3, 1, 3, 1, 1, 0, 1, 2, 3, 3, 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 0, 0, 1, 3, 4, 4, 1, 0, 2, 0, 1, 0, 4, 2, 2, 2, 4, 3, 2, 2, 3, 1, 4, 4, 4, 4, 1, 1, 3, 2, 1, 0, 0, 0, 3, 3, 1, 4, 3, 2, 2, 2, 3, 2, 1, 0, 1, 3, 2, 1, 0, 2, 2, 0, 0, 1, 2, 3, 2, 4, 1, 3, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 4, 4, 1, 3, 0, 0, 0, 2, 4, 2, 4, 1, 1, 2, 3, 3, 0, 4, 3, 3, 3, 4, 1, 0, 3, 3, 3, 1, 3, 1, 4, 4, 1, 4, 1, 4, 3, 0, 4, 4, 1, 0, 1, 4, 1, 1, 3, 0, 3, 4, 2, 0, 4, 3, 4, 3, 4, 4, 3, 4, 0, 4, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 4, 2, 1, 0, 3, 3, 4, 3, 0, 0, 3, 4, 2, 3, 0, 0, 0, 3, 2, 0, 4, 2, 2, 0, 3, 2, 3, 2, 0, 0, 2, 2, 3, 2, 1, 0, 1, 4, 1, 2, 1, 3, 2, 4, 1, 4, 4, 4, 2, 0, 0, 1, 1, 3, 2, 2, 4, 4, 1, 0, 4, 1, 4, 2, 2, 4, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 4, 1, 3, 3, 0, 0, 4, 2, 2, 4, 3, 1, 4, 1, 3, 0, 4, 0, 3, 1, 4, 3, 1, 1, 1, 3, 0, 2, 4, 2, 3, 3, 3, 1, 1, 4, 1, 1, 2, 3, 0, 2, 0, 0, 4, 2, 4, 4, 1, 4, 2, 0, 0, 2, 1, 4, 3, 2, 3, 2, 1, 2, 0, 0, 1, 4, 2, 3, 0, 3, 1, 1, 3, 4, 1, 2, 2, 0, 0, 0, 4, 3, 4, 4, 2, 0, 4, 2, 1, 0, 0, 2, 3, 0, 3, 4, 4, 2, 3, 3, 1, 0, 2, 3, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 3, 1, 0, 4, 3, 4, 1, 3, 1, 1, 0, 0, 4, 2, 4]
pubkeycol843 = [0, 0, 3, 3, 3, 2, 4, 4, 3, 2, 0, 3, 0, 4, 1, 3, 0, 4, 4, 1, 0, 4, 1, 1, 2, 0, 4, 0, 0, 2, 3, 3, 2, 4, 1, 1, 3, 3, 0, 1, 0, 0, 0, 4, 1, 4, 1, 3, 4, 0, 3, 3, 0, 0, 2, 0, 2, 0, 2, 4, 3, 0, 3, 3, 1, 3, 2, 4, 1, 1, 1, 0, 1, 0, 0, 2, 0, 3, 2, 3, 4, 4, 4, 3, 1, 3, 4, 0, 1, 1, 2, 3, 0, 1, 2, 3, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 4, 0, 0, 0, 2, 4, 2, 4, 3, 4, 3, 2, 2, 3, 1, 3, 3, 1, 4, 2, 4, 3, 3, 1, 1, 1, 2, 4, 1, 2, 2, 1, 0, 3, 3, 3, 2, 1, 0, 4, 0, 0, 0, 2, 3, 2, 0, 2, 0, 3, 4, 4, 3, 1, 3, 3, 4, 0, 0, 1, 2, 1, 4, 0, 2, 4, 4, 3, 2, 4, 1, 4, 0, 2, 0, 3, 4, 2, 0, 4, 2, 2, 1, 3, 4, 2, 1, 0, 2, 4, 0, 1, 3, 4, 1, 3, 0, 3, 1, 1, 4, 4, 2, 3, 1, 4, 0, 4, 4, 0, 3, 4, 1, 0, 2, 4, 3, 3, 1, 4, 4, 0, 3, 4, 3, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 4, 3, 1, 3, 0, 0, 2, 3, 4, 4, 3, 3, 4, 4, 0, 3, 3, 1, 1, 4, 4, 0, 4, 4, 3, 1, 3, 2, 1, 3, 4, 2, 3, 4, 3, 3, 4, 4, 1, 3, 0, 1, 0, 4, 1, 3, 4, 3, 2, 0, 3, 3, 4, 0, 4, 4, 0, 1, 0, 3, 3, 1, 1, 0, 3, 2, 2, 3, 2, 3, 2, 4, 0, 4, 0, 4, 2, 1, 1, 2, 2, 0, 2, 4, 2, 3, 1, 4, 4, 0, 1, 1, 4, 4, 3, 4, 1, 3, 4, 3, 2, 1, 4, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 3, 3, 2, 0, 3, 3, 1, 1, 2, 4, 2, 4, 3, 3, 1, 0, 3, 2, 1, 3, 2, 0, 4, 4, 0, 3, 1, 0, 2, 2, 3, 0, 3, 0, 0, 2, 2, 2, 3, 1, 1, 1]
pubkeycol844 = [0, 1, 4, 2, 1, 1, 4, 4, 0, 4, 1, 1, 1, 1, 3, 2, 3, 1, 0, 1, 1, 3, 2, 2, 3, 0, 4, 0, 0, 0, 4, 3, 0, 0, 2, 3, 1, 1, 4, 4, 3, 4, 4, 4, 4, 0, 0, 4, 3, 4, 1, 1, 4, 1, 3, 2, 2, 2, 4, 2, 3, 3, 1, 3, 1, 3, 2, 3, 1, 3, 0, 2, 4, 4, 1, 0, 0, 1, 0, 2, 3, 1, 0, 2, 2, 0, 0, 3, 1, 0, 2, 4, 2, 0, 3, 4, 0, 1, 2, 4, 4, 3, 4, 1, 4, 4, 1, 1, 3, 4, 2, 3, 2, 4, 0, 0, 0, 3, 0, 3, 2, 2, 0, 1, 1, 4, 3, 0, 4, 4, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 4, 0, 2, 0, 3, 2, 3, 0, 1, 2, 2, 4, 2, 1, 3, 1, 0, 3, 0, 3, 0, 4, 4, 4, 4, 4, 1, 3, 2, 3, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 3, 2, 4, 0, 2, 1, 4, 1, 1, 1, 1, 1, 4, 2, 2, 2, 3, 4, 1, 1, 4, 3, 2, 4, 4, 3, 1, 4, 2, 1, 3, 4, 0, 0, 3, 3, 3, 3, 1, 3, 1, 0, 3, 4, 0, 3, 2, 4, 1, 3, 1, 1, 3, 2, 0, 3, 4, 0, 1, 4, 4, 4, 3, 4, 0, 4, 3, 1, 2, 1, 4, 3, 3, 0, 2, 1, 4, 2, 3, 0, 0, 0, 2, 3, 1, 2, 0, 2, 4, 1, 0, 1, 4, 0, 0, 3, 2, 1, 4, 3, 1, 2, 4, 0, 1, 1, 4, 2, 0, 4, 3, 1, 2, 0, 4, 0, 3, 2, 4, 0, 0, 0, 3, 2, 4, 0, 4, 4, 2, 3, 2, 3, 1, 0, 4, 0, 4, 4, 0, 3, 3, 3, 1, 4, 1, 2, 3, 2, 2, 0, 2, 1, 3, 4, 2, 0, 3, 0, 0, 1, 1, 3, 4, 2, 4, 1, 2, 1, 3, 2, 4, 1, 1, 4, 0, 0, 1, 3, 3, 2, 1, 2, 2, 4, 3, 3, 4, 3, 1, 2, 0, 3, 2, 4, 4, 3, 0, 4, 4, 0, 3, 3, 4, 1, 0, 1, 4, 3, 2, 0, 0, 0, 4, 3, 1, 4, 0, 3, 4]
pubkeycol845 = [1, 2, 0, 3, 4, 1, 1, 4, 2, 2, 1, 0, 1, 2, 2, 0, 0, 3, 1, 4, 2, 1, 0, 2, 0, 0, 1, 2, 4, 2, 3, 1, 3, 4, 3, 1, 4, 3, 1, 3, 4, 1, 1, 1, 2, 0, 0, 4, 1, 3, 0, 4, 0, 1, 4, 4, 2, 2, 0, 3, 1, 1, 3, 0, 4, 1, 0, 1, 0, 4, 1, 4, 3, 4, 0, 4, 4, 0, 3, 1, 2, 2, 0, 3, 3, 0, 3, 2, 4, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 0, 3, 0, 4, 4, 3, 2, 2, 4, 3, 4, 1, 0, 2, 2, 3, 2, 1, 0, 1, 3, 0, 3, 4, 0, 3, 4, 0, 4, 3, 1, 3, 0, 4, 2, 1, 4, 0, 4, 0, 0, 3, 2, 0, 4, 2, 4, 3, 4, 3, 1, 4, 4, 3, 1, 1, 0, 2, 2, 1, 4, 3, 3, 0, 2, 2, 3, 1, 0, 4, 1, 3, 2, 0, 4, 1, 1, 1, 0, 0, 0, 4, 3, 3, 2, 0, 2, 1, 0, 3, 2, 0, 3, 0, 3, 4, 4, 0, 0, 3, 2, 4, 1, 1, 3, 2, 1, 4, 2, 1, 1, 1, 0, 1, 1, 1, 4, 2, 3, 4, 4, 3, 3, 3, 3, 0, 0, 3, 1, 3, 1, 0, 1, 0, 0, 1, 1, 1, 4, 0, 0, 1, 3, 4, 0, 1, 3, 2, 3, 3, 2, 3, 1, 0, 2, 3, 2, 0, 4, 4, 1, 2, 3, 0, 4, 1, 2, 0, 4, 1, 4, 0, 1, 3, 3, 4, 0, 0, 1, 0, 4, 2, 0, 4, 3, 1, 1, 4, 0, 0, 4, 4, 4, 0, 0, 1, 0, 0, 4, 1, 3, 1, 1, 1, 1, 2, 0, 4, 1, 1, 2, 1, 3, 1, 2, 2, 0, 2, 1, 3, 2, 4, 0, 0, 2, 2, 3, 4, 1, 3, 2, 2, 1, 2, 2, 3, 3, 2, 0, 4, 2, 2, 2, 3, 0, 4, 4, 1, 2, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 3, 2, 0, 2, 4, 2, 1, 0, 1, 2, 3, 2, 1, 4, 3, 2, 1, 3, 2, 2, 3, 1, 2, 0, 3, 0, 3, 3, 2, 1, 0, 1, 2, 3, 1, 4, 3, 4, 1]
pubkeycol846 = [1, 0, 3, 1, 0, 0, 3, 0, 1, 0, 2, 1, 3, 3, 3, 2, 2, 2, 2, 3, 0, 2, 4, 3, 0, 4, 4, 2, 1, 0, 1, 3, 4, 2, 3, 4, 2, 1, 2, 2, 4, 3, 3, 1, 0, 3, 2, 0, 2, 3, 0, 1, 3, 3, 1, 1, 4, 0, 4, 4, 3, 0, 3, 4, 3, 3, 0, 4, 2, 1, 1, 0, 2, 2, 3, 0, 0, 2, 3, 4, 3, 2, 3, 2, 3, 3, 1, 0, 4, 3, 3, 3, 0, 3, 3, 0, 1, 0, 1, 3, 2, 2, 2, 1, 4, 4, 1, 2, 4, 1, 0, 3, 1, 2, 3, 0, 0, 0, 2, 0, 2, 3, 3, 2, 4, 3, 4, 3, 4, 1, 0, 3, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 4, 2, 0, 3, 1, 2, 1, 4, 1, 2, 0, 0, 0, 0, 4, 4, 4, 1, 4, 1, 3, 4, 0, 0, 1, 3, 4, 4, 1, 3, 1, 4, 2, 1, 3, 1, 4, 0, 0, 2, 4, 2, 3, 0, 4, 3, 4, 0, 3, 2, 1, 3, 3, 0, 1, 1, 4, 0, 3, 1, 2, 4, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 3, 1, 1, 1, 4, 1, 4, 2, 3, 2, 2, 4, 1, 3, 4, 1, 3, 3, 1, 3, 4, 0, 1, 3, 4, 0, 2, 2, 0, 3, 2, 2, 2, 0, 4, 1, 3, 0, 3, 2, 3, 1, 1, 2, 2, 0, 2, 4, 0, 1, 0, 4, 4, 0, 0, 2, 0, 0, 0, 1, 3, 4, 1, 2, 0, 0, 4, 0, 0, 0, 0, 2, 4, 0, 2, 3, 2, 2, 0, 3, 4, 4, 4, 2, 2, 3, 4, 0, 3, 4, 3, 0, 0, 1, 4, 2, 2, 0, 0, 3, 3, 3, 1, 2, 3, 0, 4, 4, 3, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 3, 2, 0, 2, 0, 3, 0, 2, 1, 0, 2, 4, 0, 0, 3, 1, 3, 3, 3, 1, 3, 2, 3, 3, 4, 2, 1, 0, 2, 2, 0, 1, 2, 3, 0, 2, 1, 3, 0, 0, 4, 3, 3, 3, 0, 0, 2, 2, 1, 4, 1, 4, 0, 4, 0, 0, 3, 2, 0, 0, 3, 4, 0]
pubkeycol847 = [3, 3, 2, 4, 2, 0, 3, 2, 4, 2, 4, 3, 3, 2, 0, 3, 2, 2, 0, 4, 3, 0, 4, 0, 3, 3, 3, 1, 3, 2, 1, 2, 0, 1, 0, 3, 0, 1, 1, 3, 4, 2, 4, 1, 3, 0, 0, 1, 3, 2, 2, 0, 1, 4, 4, 4, 4, 0, 4, 0, 3, 4, 0, 4, 2, 3, 4, 0, 2, 0, 3, 3, 2, 3, 0, 0, 3, 3, 4, 0, 1, 2, 4, 2, 1, 3, 3, 4, 0, 1, 2, 1, 1, 4, 2, 2, 2, 2, 4, 2, 4, 1, 0, 1, 0, 1, 2, 3, 0, 3, 2, 2, 3, 2, 0, 1, 4, 0, 4, 1, 2, 3, 1, 4, 0, 0, 2, 3, 4, 0, 1, 3, 0, 2, 0, 0, 1, 4, 1, 3, 0, 1, 3, 0, 4, 3, 1, 3, 0, 3, 3, 2, 3, 1, 2, 4, 3, 3, 4, 3, 2, 0, 3, 2, 1, 1, 4, 3, 0, 4, 4, 0, 1, 4, 1, 1, 2, 1, 3, 3, 1, 3, 4, 4, 4, 2, 1, 4, 3, 0, 4, 2, 2, 2, 3, 0, 1, 3, 1, 4, 4, 2, 4, 3, 2, 3, 2, 3, 0, 1, 3, 1, 2, 1, 2, 0, 1, 2, 2, 3, 4, 2, 2, 1, 3, 2, 2, 1, 1, 2, 2, 0, 3, 2, 1, 2, 0, 4, 4, 0, 4, 4, 1, 2, 2, 3, 3, 2, 0, 1, 0, 1, 0, 1, 3, 1, 2, 1, 3, 3, 1, 4, 2, 3, 2, 4, 3, 0, 4, 1, 4, 1, 3, 2, 1, 0, 2, 4, 1, 0, 3, 1, 0, 0, 0, 3, 3, 0, 2, 0, 4, 1, 2, 0, 2, 2, 0, 4, 0, 1, 0, 0, 4, 0, 0, 4, 1, 0, 3, 1, 0, 2, 2, 0, 1, 1, 0, 3, 1, 3, 3, 2, 1, 2, 0, 4, 2, 3, 4, 2, 0, 0, 3, 2, 3, 3, 0, 1, 3, 4, 1, 3, 2, 0, 0, 1, 1, 2, 0, 4, 2, 4, 2, 4, 0, 0, 0, 2, 2, 4, 2, 3, 2, 0, 1, 4, 3, 3, 2, 1, 2, 0, 0, 2, 4, 0, 4, 0, 1, 2, 4, 3, 0, 3, 4, 1, 1, 1, 0, 2, 0, 2, 3, 2, 3, 1, 3, 1, 1, 0]
pubkeycol848 = [2, 4, 4, 4, 4, 4, 1, 2, 1, 3, 3, 1, 3, 4, 2, 3, 2, 4, 0, 3, 4, 3, 4, 0, 0, 3, 0, 3, 4, 1, 3, 3, 3, 4, 1, 0, 4, 4, 3, 1, 1, 3, 2, 2, 2, 2, 2, 0, 2, 4, 0, 2, 1, 4, 0, 3, 0, 3, 4, 4, 2, 3, 1, 0, 2, 0, 1, 1, 0, 1, 1, 3, 2, 0, 2, 2, 0, 1, 4, 4, 0, 3, 1, 1, 3, 4, 0, 0, 2, 1, 3, 4, 4, 2, 4, 0, 3, 0, 2, 3, 1, 2, 4, 2, 0, 4, 2, 0, 4, 4, 1, 2, 0, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 2, 0, 2, 0, 0, 3, 1, 3, 2, 4, 0, 0, 1, 0, 1, 4, 2, 2, 1, 3, 3, 0, 2, 0, 1, 4, 4, 4, 0, 2, 1, 4, 2, 0, 4, 1, 2, 4, 2, 3, 1, 2, 1, 4, 2, 2, 2, 3, 0, 2, 3, 1, 4, 0, 3, 3, 2, 1, 4, 4, 2, 3, 2, 0, 4, 1, 1, 0, 3, 0, 3, 0, 1, 1, 3, 4, 2, 2, 0, 4, 4, 1, 4, 3, 1, 4, 4, 4, 3, 0, 1, 2, 0, 2, 0, 1, 3, 3, 0, 3, 2, 2, 1, 2, 3, 1, 0, 4, 3, 4, 4, 4, 4, 0, 4, 4, 2, 4, 3, 3, 2, 3, 4, 3, 2, 0, 3, 0, 3, 2, 3, 0, 1, 1, 3, 0, 4, 4, 0, 3, 0, 2, 0, 3, 0, 4, 1, 1, 1, 4, 4, 3, 0, 4, 3, 1, 0, 1, 1, 3, 0, 4, 2, 2, 1, 0, 2, 3, 4, 3, 1, 4, 2, 1, 1, 4, 3, 2, 1, 0, 2, 1, 3, 1, 2, 4, 0, 4, 2, 4, 2, 4, 3, 1, 2, 1, 2, 1, 4, 4, 0, 1, 2, 1, 2, 2, 1, 1, 3, 4, 0, 4, 1, 4, 0, 3, 3, 4, 0, 4, 2, 0, 0, 2, 1, 1, 1, 0, 3, 3, 2, 4, 2, 4, 0, 2, 0, 0, 0, 4, 1, 4, 1, 3, 2, 3, 2, 4, 2, 3, 1, 0, 0, 2, 3, 1, 2, 2, 2, 1, 3, 4, 3, 1, 3, 4, 4, 2, 3, 3, 4, 0, 1, 2, 2, 0, 1]
pubkeycol849 = [4, 4, 0, 4, 4, 4, 2, 1, 3, 3, 1, 3, 4, 2, 3, 3, 3, 2, 2, 3, 3, 0, 0, 1, 3, 1, 0, 2, 4, 3, 2, 3, 0, 0, 1, 2, 3, 3, 1, 4, 1, 1, 2, 3, 2, 0, 3, 2, 0, 4, 2, 3, 0, 3, 4, 1, 4, 1, 2, 0, 0, 4, 3, 0, 2, 1, 0, 2, 4, 1, 1, 3, 2, 2, 3, 1, 3, 1, 3, 4, 3, 4, 4, 3, 3, 0, 0, 4, 3, 3, 1, 3, 3, 4, 1, 4, 1, 1, 1, 0, 1, 3, 4, 1, 2, 3, 4, 1, 0, 0, 4, 2, 4, 2, 2, 2, 3, 0, 2, 0, 0, 1, 4, 3, 3, 3, 4, 0, 4, 0, 2, 0, 3, 1, 2, 2, 1, 2, 3, 4, 3, 3, 3, 1, 1, 4, 3, 3, 4, 2, 0, 2, 3, 1, 4, 1, 4, 0, 4, 3, 0, 0, 3, 0, 3, 1, 4, 2, 0, 1, 3, 2, 2, 1, 0, 4, 3, 0, 4, 3, 1, 2, 1, 0, 0, 4, 3, 2, 3, 1, 2, 4, 0, 2, 2, 2, 4, 1, 4, 2, 3, 4, 3, 3, 3, 2, 0, 3, 1, 3, 1, 2, 4, 0, 3, 2, 4, 3, 0, 0, 3, 2, 0, 3, 1, 3, 1, 0, 3, 2, 4, 1, 1, 3, 2, 2, 2, 4, 3, 3, 0, 2, 3, 0, 2, 0, 4, 4, 0, 4, 3, 2, 1, 3, 2, 1, 0, 2, 1, 4, 4, 4, 0, 1, 0, 0, 1, 2, 2, 2, 3, 4, 2, 2, 2, 3, 3, 4, 4, 2, 3, 2, 1, 3, 4, 2, 3, 3, 0, 1, 0, 4, 1, 3, 0, 3, 4, 4, 0, 3, 4, 3, 0, 2, 4, 1, 0, 1, 1, 2, 3, 1, 2, 3, 0, 3, 2, 1, 2, 2, 4, 1, 3, 0, 0, 2, 0, 3, 2, 2, 1, 4, 0, 1, 4, 2, 0, 2, 1, 2, 0, 2, 3, 0, 0, 0, 2, 4, 2, 3, 3, 1, 0, 2, 2, 3, 3, 4, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 4, 1, 0, 1, 2, 1, 4, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 4, 2, 0, 4, 2, 0, 3, 4]
pubkeycol850 = [0, 0, 2, 3, 1, 2, 3, 1, 1, 3, 2, 1, 0, 3, 4, 1, 3, 1, 3, 4, 4, 4, 2, 1, 4, 0, 0, 2, 0, 0, 2, 1, 4, 2, 4, 4, 4, 0, 0, 1, 3, 0, 0, 3, 0, 3, 0, 0, 1, 2, 2, 4, 1, 3, 0, 0, 0, 3, 3, 2, 2, 4, 3, 3, 4, 4, 1, 2, 0, 0, 1, 1, 0, 3, 1, 0, 3, 1, 2, 4, 0, 4, 4, 2, 3, 3, 1, 3, 4, 4, 2, 1, 2, 2, 3, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 2, 2, 2, 3, 2, 3, 3, 1, 4, 1, 4, 0, 4, 1, 1, 3, 0, 2, 2, 2, 0, 4, 3, 4, 4, 2, 2, 4, 0, 0, 3, 1, 4, 2, 4, 4, 3, 4, 2, 1, 1, 0, 0, 2, 1, 3, 3, 1, 3, 0, 2, 2, 4, 1, 0, 1, 3, 3, 4, 4, 1, 2, 3, 0, 3, 0, 2, 3, 0, 2, 2, 0, 4, 2, 0, 3, 4, 4, 1, 1, 3, 2, 2, 4, 4, 2, 0, 0, 3, 3, 1, 4, 4, 0, 2, 3, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 0, 4, 1, 3, 2, 1, 4, 2, 3, 0, 1, 1, 1, 0, 3, 3, 0, 2, 3, 1, 2, 3, 3, 2, 4, 4, 3, 3, 1, 3, 3, 2, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 4, 3, 2, 0, 1, 0, 2, 4, 4, 1, 4, 2, 4, 0, 4, 3, 1, 2, 1, 4, 0, 3, 0, 0, 4, 0, 1, 4, 2, 1, 3, 0, 2, 4, 4, 3, 4, 3, 2, 1, 3, 0, 3, 0, 2, 3, 0, 4, 2, 1, 4, 3, 2, 0, 4, 3, 4, 0, 3, 2, 3, 4, 3, 1, 3, 0, 3, 1, 0, 4, 1, 4, 3, 3, 3, 0, 3, 2, 4, 2, 4, 4, 4, 2, 4, 1, 0, 4, 4, 2, 1, 3, 4, 2, 3, 2, 2, 2, 0, 4, 1, 4, 1, 0, 0, 3, 3, 4, 3, 2, 3, 1, 2, 0, 3, 4, 4, 4, 4, 2, 3, 1, 2, 0, 1, 3, 0, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 0, 1, 0, 4, 4, 3]
pubkeycol851 = [4, 1, 2, 3, 3, 0, 4, 1, 1, 3, 3, 1, 3, 4, 3, 2, 0, 3, 3, 4, 1, 3, 0, 4, 1, 2, 0, 3, 1, 0, 0, 3, 1, 3, 4, 0, 2, 0, 2, 2, 1, 1, 3, 2, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 4, 1, 4, 3, 4, 2, 3, 4, 4, 4, 3, 0, 3, 2, 3, 4, 2, 0, 2, 3, 2, 1, 2, 0, 0, 4, 0, 3, 0, 4, 4, 0, 1, 3, 1, 4, 2, 4, 1, 4, 3, 2, 2, 3, 2, 3, 2, 4, 3, 2, 0, 2, 1, 3, 1, 4, 4, 0, 2, 0, 4, 2, 2, 4, 0, 2, 3, 2, 3, 4, 0, 4, 2, 2, 2, 2, 4, 2, 4, 4, 3, 3, 4, 4, 2, 4, 3, 1, 3, 2, 2, 2, 0, 3, 4, 3, 1, 1, 1, 4, 4, 1, 3, 1, 0, 0, 0, 2, 4, 4, 3, 4, 0, 3, 0, 1, 3, 2, 4, 0, 4, 3, 0, 1, 0, 3, 4, 3, 4, 2, 0, 0, 2, 4, 2, 1, 2, 2, 4, 0, 3, 2, 1, 4, 4, 0, 3, 0, 0, 0, 4, 3, 4, 0, 4, 2, 3, 0, 1, 0, 2, 0, 0, 4, 1, 4, 1, 2, 4, 0, 0, 3, 1, 1, 2, 3, 1, 2, 1, 4, 0, 0, 3, 1, 0, 1, 3, 0, 0, 0, 2, 3, 4, 0, 4, 2, 2, 1, 1, 0, 3, 0, 1, 3, 2, 4, 2, 0, 2, 3, 3, 4, 3, 4, 4, 0, 4, 3, 2, 4, 3, 1, 0, 3, 4, 2, 4, 3, 3, 2, 2, 4, 3, 1, 4, 2, 2, 1, 3, 4, 4, 4, 0, 4, 1, 2, 3, 2, 4, 1, 1, 3, 0, 4, 4, 0, 3, 0, 1, 0, 1, 2, 2, 0, 4, 2, 0, 2, 1, 1, 4, 1, 3, 2, 1, 4, 4, 3, 0, 2, 3, 4, 3, 1, 0, 1, 4, 4, 1, 0, 3, 1, 4, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 4, 2, 2, 0, 2, 1, 2, 0, 3, 4, 3, 0, 1, 1, 0, 2, 0, 1, 1, 3, 0, 4, 2, 0, 2, 3, 3, 0, 3, 4, 1, 3, 1, 2, 3, 1, 1, 2, 1, 3, 1]
pubkeycol852 = [1, 3, 2, 0, 4, 2, 1, 4, 2, 3, 3, 2, 0, 1, 1, 0, 2, 2, 0, 3, 0, 4, 4, 3, 2, 4, 2, 0, 0, 1, 4, 4, 4, 2, 4, 0, 4, 4, 1, 2, 0, 2, 3, 0, 1, 4, 4, 1, 4, 3, 3, 1, 3, 2, 1, 2, 1, 4, 0, 0, 3, 4, 4, 4, 2, 1, 2, 1, 4, 1, 3, 2, 1, 1, 1, 2, 0, 4, 1, 3, 4, 0, 4, 0, 4, 3, 0, 3, 3, 4, 3, 0, 4, 0, 2, 2, 1, 2, 2, 3, 0, 0, 0, 1, 3, 0, 2, 3, 3, 0, 4, 1, 3, 1, 2, 0, 2, 2, 2, 4, 0, 4, 2, 4, 3, 4, 3, 1, 3, 0, 1, 4, 1, 0, 2, 2, 4, 1, 2, 4, 3, 4, 2, 2, 4, 3, 2, 1, 0, 4, 1, 4, 0, 3, 4, 3, 3, 3, 2, 0, 2, 1, 4, 3, 3, 0, 4, 4, 4, 2, 3, 4, 3, 2, 0, 2, 3, 0, 1, 0, 4, 3, 3, 0, 1, 2, 3, 1, 2, 0, 2, 1, 0, 0, 2, 4, 4, 2, 4, 0, 1, 1, 0, 1, 3, 0, 3, 4, 3, 3, 4, 3, 0, 2, 3, 4, 3, 1, 0, 4, 3, 3, 0, 3, 2, 1, 1, 2, 0, 3, 2, 2, 4, 1, 3, 2, 1, 1, 2, 2, 0, 4, 1, 1, 4, 2, 3, 1, 1, 3, 0, 3, 2, 0, 4, 2, 2, 4, 4, 3, 0, 4, 0, 3, 1, 0, 0, 4, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 3, 0, 1, 0, 4, 0, 1, 0, 3, 3, 1, 3, 0, 2, 0, 0, 3, 1, 2, 4, 4, 0, 3, 1, 0, 1, 1, 2, 1, 0, 1, 1, 4, 1, 2, 2, 1, 1, 2, 1, 4, 2, 1, 3, 1, 1, 2, 4, 2, 3, 4, 4, 0, 3, 3, 1, 4, 1, 1, 2, 2, 4, 1, 4, 3, 4, 3, 0, 1, 2, 2, 1, 4, 3, 0, 3, 1, 0, 3, 2, 2, 3, 3, 0, 2, 0, 2, 0, 1, 2, 4, 3, 0, 2, 0, 1, 1, 0, 4, 0, 0, 1, 0, 2, 0, 3, 3, 4, 1, 1, 1, 2, 0, 3, 3, 2, 3, 4, 0]
pubkeycol853 = [1, 3, 2, 0, 3, 0, 2, 0, 3, 4, 4, 0, 2, 0, 3, 0, 2, 0, 1, 4, 1, 1, 1, 0, 4, 1, 1, 2, 2, 4, 1, 2, 4, 3, 3, 2, 0, 3, 4, 3, 3, 3, 4, 4, 4, 0, 4, 2, 1, 2, 3, 0, 0, 2, 3, 4, 3, 0, 3, 3, 1, 0, 1, 2, 4, 3, 1, 2, 1, 3, 4, 4, 1, 4, 1, 0, 0, 2, 1, 4, 3, 1, 2, 1, 2, 0, 0, 0, 2, 4, 4, 3, 2, 0, 1, 4, 1, 3, 1, 3, 1, 3, 2, 2, 4, 4, 2, 3, 0, 1, 1, 2, 0, 1, 1, 3, 0, 1, 4, 1, 2, 2, 1, 3, 3, 1, 4, 3, 0, 0, 2, 3, 1, 4, 4, 0, 3, 0, 4, 0, 2, 2, 3, 2, 1, 0, 4, 1, 0, 1, 0, 2, 3, 4, 1, 3, 0, 4, 2, 1, 2, 2, 1, 1, 3, 0, 0, 0, 0, 0, 1, 4, 4, 2, 3, 3, 3, 4, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 3, 4, 3, 0, 3, 4, 3, 2, 0, 3, 1, 2, 0, 0, 0, 1, 4, 3, 2, 0, 1, 2, 0, 2, 3, 3, 0, 4, 1, 1, 1, 4, 1, 2, 2, 1, 1, 4, 4, 1, 2, 1, 3, 3, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 4, 0, 0, 0, 1, 4, 0, 3, 2, 0, 2, 2, 1, 2, 1, 2, 0, 3, 4, 0, 2, 1, 0, 1, 2, 3, 1, 3, 0, 2, 3, 4, 3, 4, 1, 2, 4, 4, 1, 0, 3, 0, 1, 2, 3, 0, 2, 4, 1, 2, 0, 3, 2, 0, 3, 2, 1, 4, 2, 4, 2, 3, 1, 1, 0, 1, 3, 1, 2, 3, 3, 1, 4, 4, 2, 1, 1, 4, 4, 2, 2, 0, 0, 0, 4, 0, 3, 2, 1, 0, 3, 3, 4, 2, 2, 0, 4, 2, 3, 1, 0, 1, 1, 0, 1, 0, 3, 0, 0, 4, 4, 3, 4, 0, 2, 3, 4, 4, 0, 2, 0, 4, 0, 2, 4, 4, 1, 2, 1, 4, 0, 4, 0, 4, 0, 1, 2, 4, 3, 4, 1, 4, 2, 3, 2, 0, 0, 1, 3, 1, 0, 1, 4, 4, 2, 3, 2, 0]
pubkeycol854 = [3, 3, 1, 0, 2, 3, 0, 2, 0, 3, 4, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 4, 3, 3, 0, 3, 1, 0, 4, 2, 1, 4, 4, 0, 1, 1, 0, 2, 3, 2, 2, 0, 1, 4, 2, 4, 1, 4, 2, 4, 0, 3, 2, 0, 4, 3, 2, 1, 2, 2, 4, 4, 3, 4, 3, 4, 4, 2, 4, 2, 0, 0, 4, 4, 3, 1, 3, 1, 4, 2, 4, 3, 0, 4, 0, 0, 4, 0, 2, 3, 3, 1, 2, 3, 2, 1, 3, 3, 4, 3, 1, 0, 0, 0, 2, 4, 2, 1, 2, 0, 2, 4, 3, 1, 3, 2, 1, 2, 1, 1, 0, 3, 1, 0, 4, 4, 4, 0, 1, 3, 1, 4, 1, 4, 3, 4, 2, 4, 3, 4, 4, 0, 1, 0, 3, 1, 0, 2, 1, 1, 1, 2, 0, 3, 2, 2, 1, 3, 1, 0, 2, 4, 3, 1, 0, 1, 4, 4, 0, 0, 0, 4, 4, 4, 4, 3, 0, 2, 2, 3, 2, 4, 0, 3, 2, 1, 0, 0, 0, 2, 1, 3, 3, 2, 2, 1, 2, 1, 4, 1, 1, 2, 1, 3, 2, 3, 1, 3, 2, 4, 0, 1, 3, 0, 1, 4, 0, 4, 4, 1, 3, 1, 2, 4, 1, 4, 3, 0, 2, 2, 3, 0, 1, 2, 1, 0, 4, 0, 2, 3, 4, 3, 3, 4, 0, 3, 4, 3, 4, 1, 0, 2, 3, 2, 1, 3, 4, 1, 3, 1, 1, 2, 2, 4, 4, 4, 3, 2, 1, 1, 2, 1, 3, 4, 4, 3, 4, 3, 4, 2, 3, 2, 4, 3, 0, 4, 1, 4, 2, 1, 4, 0, 3, 4, 0, 0, 2, 3, 3, 2, 3, 1, 1, 2, 2, 1, 0, 2, 3, 4, 0, 1, 2, 3, 1, 4, 2, 0, 3, 1, 0, 1, 1, 4, 2, 0, 0, 1, 3, 0, 2, 4, 0, 0, 2, 0, 4, 4, 3, 1, 1, 2, 0, 1, 1, 2, 4, 2, 3, 1, 0, 3, 1, 4, 4, 1, 1, 3, 3, 1, 3, 3, 0, 3, 3, 0, 2, 3, 2, 0, 4, 3, 1, 3, 2, 0, 3, 4, 0, 0, 4, 2, 4, 1, 1, 4, 1, 3, 0, 0, 1, 0, 2, 3, 1, 3, 2, 4, 3]
pubkeycol855 = [1, 0, 4, 0, 1, 1, 2, 3, 4, 3, 4, 4, 1, 1, 4, 2, 4, 2, 1, 3, 1, 1, 2, 0, 2, 1, 0, 4, 4, 1, 0, 3, 3, 3, 0, 3, 1, 4, 3, 3, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3, 4, 4, 2, 4, 0, 3, 1, 4, 3, 1, 4, 2, 0, 4, 3, 1, 4, 3, 3, 1, 4, 1, 1, 4, 0, 4, 0, 2, 1, 4, 2, 2, 1, 4, 0, 3, 2, 2, 1, 0, 3, 0, 0, 1, 0, 3, 1, 0, 4, 3, 1, 2, 2, 0, 1, 2, 4, 2, 4, 0, 0, 3, 4, 2, 2, 4, 0, 3, 2, 3, 3, 4, 1, 3, 4, 1, 4, 2, 3, 1, 2, 4, 2, 4, 2, 1, 3, 0, 3, 2, 4, 1, 2, 1, 3, 1, 2, 2, 3, 0, 2, 4, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 4, 2, 4, 4, 3, 1, 3, 4, 1, 1, 2, 4, 0, 0, 4, 4, 0, 3, 3, 1, 2, 1, 4, 2, 1, 4, 2, 2, 0, 2, 4, 2, 3, 0, 4, 4, 4, 4, 3, 3, 3, 2, 4, 2, 1, 0, 0, 2, 2, 2, 1, 4, 2, 0, 4, 4, 1, 2, 4, 4, 3, 2, 0, 2, 4, 1, 1, 3, 2, 4, 4, 0, 4, 4, 3, 3, 2, 3, 1, 3, 3, 4, 1, 3, 0, 2, 4, 4, 3, 4, 4, 2, 1, 0, 0, 0, 2, 4, 0, 3, 4, 4, 4, 0, 2, 2, 0, 1, 2, 0, 3, 3, 1, 3, 3, 0, 1, 0, 4, 4, 0, 4, 0, 3, 1, 0, 0, 2, 4, 1, 3, 0, 2, 0, 1, 3, 1, 2, 3, 3, 1, 1, 0, 1, 2, 1, 0, 1, 4, 0, 2, 0, 3, 0, 0, 4, 1, 0, 0, 1, 4, 1, 0, 0, 4, 3, 4, 0, 1, 3, 3, 4, 1, 3, 1, 1, 1, 2, 0, 3, 3, 3, 2, 1, 1, 0, 2, 4, 3, 0, 2, 0, 0, 0, 3, 0, 3, 2, 4, 1, 0, 1, 1, 2, 4, 4, 0, 4, 1, 2, 4, 1, 0, 1, 3, 2, 3, 3, 2, 3, 1, 4, 1, 0, 3, 3, 2, 1, 3, 1, 2, 3, 4, 4]
pubkeycol856 = [1, 0, 1, 0, 3, 4, 1, 4, 4, 4, 3, 0, 2, 0, 3, 3, 0, 4, 3, 2, 3, 2, 0, 0, 0, 4, 0, 2, 1, 0, 0, 1, 0, 3, 3, 1, 3, 1, 2, 0, 0, 4, 1, 0, 4, 3, 0, 0, 1, 0, 2, 1, 3, 2, 0, 4, 1, 3, 2, 3, 4, 4, 0, 2, 1, 3, 0, 1, 3, 0, 3, 4, 1, 1, 4, 4, 0, 1, 0, 0, 0, 3, 3, 2, 1, 1, 4, 0, 3, 1, 0, 0, 4, 4, 1, 3, 4, 0, 1, 2, 0, 0, 0, 4, 4, 4, 2, 4, 3, 0, 3, 1, 2, 4, 3, 2, 4, 1, 4, 2, 4, 3, 0, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 4, 2, 4, 1, 1, 0, 1, 1, 0, 0, 4, 2, 1, 2, 1, 0, 0, 2, 3, 2, 4, 3, 4, 1, 4, 1, 2, 0, 2, 4, 1, 2, 3, 4, 2, 2, 1, 1, 1, 4, 0, 1, 2, 0, 2, 4, 0, 3, 3, 4, 0, 0, 0, 0, 4, 3, 3, 3, 0, 4, 2, 1, 0, 0, 3, 2, 2, 2, 1, 2, 0, 0, 2, 1, 3, 2, 3, 3, 2, 0, 3, 3, 0, 3, 3, 0, 3, 3, 1, 0, 4, 3, 3, 0, 2, 4, 1, 4, 0, 1, 4, 1, 3, 4, 2, 1, 0, 0, 3, 2, 2, 2, 1, 2, 3, 0, 0, 0, 0, 1, 2, 4, 1, 0, 0, 4, 4, 4, 2, 3, 0, 1, 0, 3, 4, 1, 3, 2, 4, 2, 1, 0, 1, 1, 4, 1, 4, 0, 2, 3, 3, 1, 3, 0, 4, 4, 0, 2, 2, 3, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 1, 4, 2, 0, 3, 0, 2, 3, 3, 1, 3, 4, 2, 0, 4, 1, 1, 0, 1, 1, 4, 4, 4, 0, 0, 2, 3, 2, 2, 3, 0, 1, 1, 4, 4, 4, 1, 2, 0, 1, 3, 1, 1, 3, 4, 3, 3, 2, 4, 0, 2, 2, 2, 0, 3, 3, 1, 2, 3, 1, 1, 2, 1, 1, 0, 2, 4, 4, 1, 0, 3, 0, 3, 1, 0, 1, 1, 4, 0, 1, 1, 4, 4, 0, 0, 0, 1, 2, 0, 2, 3, 0]
pubkeycol857 = [1, 1, 1, 4, 2, 3, 4, 0, 3, 4, 4, 2, 2, 4, 2, 4, 0, 1, 4, 1, 4, 2, 4, 4, 4, 4, 3, 1, 1, 3, 4, 1, 2, 1, 4, 4, 0, 2, 4, 0, 1, 3, 3, 3, 3, 4, 0, 4, 0, 0, 2, 3, 4, 4, 4, 4, 0, 1, 3, 0, 3, 0, 1, 1, 1, 0, 4, 3, 2, 1, 4, 3, 1, 0, 4, 1, 0, 3, 0, 0, 1, 3, 0, 1, 3, 1, 2, 1, 0, 0, 4, 1, 2, 4, 0, 2, 3, 3, 3, 2, 2, 1, 2, 3, 0, 0, 2, 0, 4, 0, 2, 0, 1, 3, 2, 0, 4, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 2, 0, 0, 1, 0, 4, 2, 1, 4, 4, 4, 3, 2, 2, 0, 3, 4, 1, 3, 2, 4, 0, 2, 3, 4, 3, 3, 0, 4, 4, 3, 0, 1, 1, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 1, 4, 1, 3, 4, 2, 3, 3, 1, 2, 1, 4, 2, 4, 2, 2, 1, 3, 0, 3, 1, 4, 0, 4, 3, 4, 2, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 2, 0, 0, 3, 0, 4, 3, 4, 4, 4, 4, 1, 2, 2, 0, 4, 2, 3, 0, 1, 3, 1, 0, 3, 0, 4, 4, 0, 1, 3, 0, 1, 1, 4, 4, 4, 3, 0, 1, 0, 2, 3, 3, 1, 3, 0, 1, 3, 0, 1, 0, 4, 2, 0, 3, 1, 3, 1, 0, 3, 0, 1, 4, 3, 1, 2, 4, 0, 0, 4, 1, 3, 2, 3, 4, 4, 4, 0, 3, 3, 1, 4, 3, 1, 2, 1, 2, 3, 0, 0, 2, 4, 0, 3, 0, 1, 1, 2, 4, 0, 4, 0, 2, 4, 3, 0, 4, 2, 3, 0, 2, 0, 1, 1, 3, 0, 2, 0, 0, 2, 0, 3, 3, 3, 3, 2, 0, 2, 2, 4, 0, 4, 1, 0, 4, 1, 4, 2, 0, 0, 2, 1, 3, 1, 4, 1, 4, 4, 3, 0, 3, 3, 2, 0, 3, 3, 3, 3, 2, 0, 0, 0, 0, 1, 3, 2, 0, 0, 0, 4, 4, 3, 2, 2, 1, 0, 3, 3, 3, 4, 3, 2, 1, 4, 0, 3, 1, 1, 3, 0, 3, 4]
pubkeycol858 = [1, 3, 3, 4, 3, 2, 4, 0, 0, 1, 1, 3, 4, 3, 4, 4, 0, 3, 2, 3, 2, 1, 0, 0, 1, 2, 3, 0, 0, 1, 4, 3, 2, 1, 3, 0, 2, 2, 3, 1, 0, 3, 2, 1, 1, 2, 4, 1, 0, 0, 4, 2, 1, 1, 2, 4, 2, 4, 2, 3, 1, 1, 4, 2, 0, 1, 4, 0, 1, 0, 0, 3, 4, 1, 3, 3, 4, 4, 2, 4, 4, 3, 3, 0, 3, 2, 2, 4, 3, 4, 1, 0, 2, 0, 0, 1, 2, 1, 4, 4, 4, 0, 1, 2, 0, 0, 4, 4, 4, 1, 3, 4, 4, 4, 0, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 2, 0, 3, 0, 1, 3, 4, 3, 0, 4, 0, 0, 3, 3, 0, 1, 3, 0, 3, 1, 3, 0, 3, 3, 3, 3, 3, 2, 0, 3, 2, 1, 4, 2, 3, 1, 2, 2, 2, 2, 3, 0, 2, 3, 2, 1, 3, 3, 1, 1, 0, 2, 1, 2, 0, 4, 3, 4, 4, 0, 2, 4, 3, 1, 1, 3, 3, 2, 4, 2, 2, 4, 4, 0, 0, 1, 0, 1, 0, 1, 3, 4, 2, 4, 0, 1, 0, 2, 2, 2, 2, 3, 2, 1, 2, 4, 1, 1, 3, 3, 1, 2, 3, 4, 4, 3, 3, 0, 1, 2, 4, 3, 0, 4, 3, 0, 1, 3, 1, 0, 4, 0, 1, 2, 1, 0, 0, 3, 0, 3, 1, 0, 4, 2, 4, 0, 2, 4, 0, 2, 4, 2, 1, 1, 4, 3, 2, 3, 3, 1, 0, 2, 0, 0, 1, 0, 2, 3, 3, 2, 2, 2, 4, 0, 2, 1, 3, 1, 4, 4, 3, 3, 2, 1, 0, 1, 2, 4, 1, 1, 3, 0, 4, 0, 1, 2, 3, 3, 4, 4, 4, 2, 1, 2, 2, 3, 2, 1, 3, 0, 2, 4, 3, 1, 0, 4, 3, 2, 1, 1, 3, 1, 4, 3, 4, 1, 3, 3, 4, 4, 4, 4, 2, 2, 2, 4, 1, 1, 1, 4, 1, 4, 0, 2, 0, 1, 4, 4, 0, 2, 2, 0, 3, 0, 2, 3, 4, 3, 1, 4, 1, 2, 1, 1, 1, 2, 2, 3, 1, 4, 3, 4, 3, 0, 4, 2, 3, 2, 0, 2, 0, 1, 2, 1]
pubkeycol859 = [2, 2, 4, 4, 2, 3, 3, 4, 4, 1, 0, 3, 4, 4, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 4, 0, 4, 0, 1, 4, 1, 0, 0, 1, 3, 3, 2, 1, 1, 1, 3, 1, 4, 4, 4, 2, 4, 0, 3, 4, 4, 1, 4, 3, 0, 1, 3, 1, 4, 4, 4, 3, 3, 0, 0, 3, 0, 1, 0, 0, 2, 0, 2, 4, 2, 3, 2, 4, 2, 0, 1, 0, 2, 1, 0, 4, 0, 1, 2, 1, 1, 4, 3, 0, 3, 3, 4, 1, 0, 1, 2, 0, 4, 3, 3, 0, 1, 2, 3, 2, 2, 3, 0, 2, 4, 3, 3, 0, 3, 2, 0, 0, 4, 0, 4, 0, 4, 0, 3, 4, 1, 3, 3, 1, 4, 1, 2, 1, 1, 1, 3, 4, 0, 3, 0, 2, 1, 4, 3, 1, 0, 4, 4, 3, 3, 2, 2, 0, 1, 0, 4, 3, 1, 4, 4, 2, 3, 3, 2, 3, 4, 1, 1, 4, 4, 1, 3, 1, 4, 1, 0, 0, 4, 1, 4, 0, 2, 0, 3, 3, 2, 2, 0, 1, 1, 4, 1, 1, 0, 3, 0, 4, 2, 3, 0, 3, 0, 0, 1, 4, 2, 1, 2, 4, 2, 1, 3, 0, 1, 3, 0, 0, 1, 2, 3, 1, 4, 1, 4, 3, 1, 3, 2, 0, 0, 2, 1, 0, 2, 1, 3, 4, 4, 1, 1, 4, 0, 3, 2, 2, 0, 2, 0, 4, 0, 1, 4, 3, 2, 0, 2, 0, 4, 2, 0, 0, 4, 0, 0, 0, 3, 4, 0, 3, 0, 1, 3, 4, 2, 0, 3, 3, 3, 4, 4, 0, 1, 0, 0, 2, 1, 3, 4, 1, 2, 1, 4, 2, 4, 1, 4, 3, 4, 2, 4, 3, 2, 4, 3, 3, 2, 0, 4, 1, 3, 1, 0, 1, 0, 4, 3, 3, 0, 2, 1, 1, 2, 3, 2, 2, 4, 1, 2, 4, 2, 3, 4, 1, 1, 2, 0, 3, 3, 4, 3, 4, 1, 3, 4, 4, 1, 0, 3, 1, 1, 1, 3, 4, 4, 0, 4, 1, 1, 2, 1, 2, 4, 1, 0, 0, 0, 0, 4, 4, 3, 1, 3, 0, 3, 4, 4, 1, 2, 2, 4, 4, 4, 0, 2, 1, 1, 4, 4, 3, 2, 2, 1, 2, 0]
pubkeycol860 = [0, 4, 3, 1, 2, 4, 0, 1, 1, 2, 4, 2, 4, 2, 0, 3, 3, 1, 0, 0, 2, 2, 0, 2, 4, 4, 0, 2, 3, 2, 3, 1, 4, 0, 2, 1, 1, 4, 3, 3, 2, 2, 0, 1, 4, 0, 4, 4, 4, 1, 3, 3, 4, 4, 1, 4, 1, 2, 3, 1, 1, 2, 3, 1, 4, 4, 4, 0, 4, 1, 2, 1, 0, 3, 1, 3, 1, 4, 0, 3, 2, 4, 0, 3, 4, 4, 0, 2, 4, 3, 1, 1, 4, 3, 1, 4, 4, 4, 2, 1, 0, 1, 4, 1, 3, 4, 2, 4, 4, 3, 0, 0, 1, 0, 0, 4, 3, 4, 0, 0, 1, 3, 0, 3, 4, 0, 4, 3, 3, 1, 3, 3, 2, 2, 1, 1, 0, 4, 2, 1, 2, 2, 3, 4, 0, 2, 3, 1, 0, 4, 4, 4, 1, 1, 1, 3, 4, 4, 0, 0, 1, 1, 1, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 0, 3, 3, 2, 2, 1, 2, 1, 3, 3, 2, 0, 3, 2, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 4, 1, 2, 2, 3, 2, 2, 2, 3, 1, 4, 1, 4, 4, 2, 4, 0, 2, 0, 2, 1, 4, 1, 1, 0, 1, 3, 2, 4, 4, 4, 1, 3, 1, 2, 2, 4, 3, 4, 0, 4, 2, 1, 4, 4, 0, 1, 1, 0, 4, 4, 0, 1, 4, 0, 1, 2, 1, 2, 2, 0, 3, 2, 0, 3, 1, 4, 0, 3, 4, 4, 1, 3, 2, 1, 4, 1, 1, 0, 1, 3, 0, 1, 2, 0, 0, 3, 4, 4, 1, 0, 2, 0, 4, 4, 4, 1, 4, 3, 3, 4, 4, 4, 1, 2, 1, 0, 1, 0, 3, 4, 4, 4, 1, 4, 1, 4, 0, 3, 2, 3, 3, 1, 0, 4, 3, 0, 2, 1, 2, 2, 3, 2, 0, 1, 2, 1, 4, 4, 2, 1, 4, 2, 2, 3, 2, 2, 2, 3, 3, 0, 2, 0, 3, 2, 2, 1, 2, 2, 4, 4, 3, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 3, 1, 2, 0, 3, 3, 0, 0, 1, 3, 2, 0, 4, 1, 0, 2, 1, 2, 3, 2, 1, 2, 1, 2, 2, 0, 4, 4, 0]
pubkeycol861 = [4, 3, 1, 0, 2, 4, 0, 3, 1, 3, 3, 3, 0, 0, 0, 4, 0, 4, 4, 0, 1, 1, 1, 3, 3, 1, 1, 1, 4, 1, 2, 0, 1, 4, 0, 0, 0, 0, 2, 0, 0, 2, 3, 4, 4, 2, 4, 0, 4, 3, 2, 3, 4, 2, 0, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 3, 4, 4, 3, 0, 2, 1, 1, 2, 2, 0, 4, 3, 3, 2, 2, 1, 0, 0, 1, 4, 4, 3, 2, 2, 2, 2, 0, 3, 0, 3, 4, 3, 1, 3, 2, 4, 0, 4, 0, 0, 3, 3, 4, 0, 1, 3, 2, 4, 2, 2, 2, 1, 2, 1, 2, 2, 2, 4, 4, 2, 3, 0, 4, 0, 1, 0, 0, 4, 4, 3, 0, 0, 4, 3, 3, 0, 1, 1, 3, 4, 1, 1, 4, 4, 0, 3, 2, 2, 0, 2, 1, 3, 4, 4, 3, 4, 4, 0, 3, 4, 0, 1, 1, 0, 0, 3, 3, 1, 0, 0, 3, 1, 2, 1, 4, 3, 1, 3, 1, 0, 2, 1, 4, 4, 1, 2, 2, 4, 3, 0, 3, 0, 2, 2, 4, 2, 2, 4, 2, 0, 0, 4, 0, 3, 4, 1, 1, 3, 3, 1, 1, 4, 3, 0, 3, 3, 3, 2, 1, 4, 1, 1, 1, 2, 2, 1, 0, 4, 0, 2, 0, 0, 2, 4, 0, 0, 2, 0, 3, 1, 4, 0, 2, 3, 4, 0, 1, 4, 1, 2, 3, 1, 4, 4, 2, 3, 2, 3, 0, 3, 0, 1, 1, 3, 0, 0, 1, 0, 2, 0, 3, 2, 2, 4, 0, 2, 4, 3, 3, 4, 4, 4, 0, 3, 3, 1, 0, 1, 4, 4, 2, 0, 1, 3, 3, 3, 1, 3, 1, 4, 4, 4, 0, 2, 2, 1, 3, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 3, 4, 0, 1, 4, 3, 1, 0, 2, 2, 1, 3, 0, 3, 3, 4, 4, 3, 2, 1, 0, 2, 1, 2, 0, 4, 0, 2, 0, 2, 3, 0, 4, 2, 2, 4, 2, 0, 0, 4, 3, 0, 1, 4, 4, 3, 2, 0, 4, 1, 1, 2, 4, 0, 0, 1, 1, 3, 0, 3, 4, 0, 1, 0, 1, 1, 4, 0, 1, 0, 1, 1, 2, 4]
pubkeycol862 = [0, 4, 2, 2, 1, 2, 1, 4, 1, 4, 1, 3, 4, 3, 0, 0, 0, 1, 2, 3, 1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 4, 2, 1, 3, 0, 3, 4, 4, 1, 1, 4, 4, 4, 3, 3, 0, 0, 2, 4, 1, 0, 0, 2, 0, 3, 1, 4, 0, 3, 4, 4, 3, 1, 4, 1, 4, 0, 4, 4, 4, 4, 3, 0, 2, 0, 1, 3, 4, 3, 3, 1, 1, 4, 2, 0, 1, 2, 4, 3, 2, 0, 4, 0, 1, 0, 0, 4, 1, 3, 4, 2, 1, 2, 4, 0, 3, 0, 2, 1, 0, 3, 1, 1, 3, 4, 3, 0, 1, 2, 1, 0, 3, 4, 3, 0, 4, 1, 1, 2, 4, 3, 2, 3, 2, 2, 4, 0, 4, 2, 0, 1, 0, 3, 2, 3, 0, 1, 1, 3, 1, 0, 2, 4, 2, 0, 2, 2, 3, 2, 0, 0, 3, 1, 2, 4, 2, 3, 0, 1, 1, 1, 3, 2, 1, 0, 4, 0, 0, 2, 1, 3, 2, 3, 0, 0, 4, 2, 2, 1, 1, 1, 2, 4, 4, 1, 4, 2, 0, 2, 0, 2, 1, 1, 3, 3, 4, 0, 4, 0, 2, 0, 3, 4, 0, 2, 4, 2, 4, 0, 2, 2, 4, 2, 3, 1, 2, 0, 1, 0, 1, 4, 0, 3, 2, 4, 1, 1, 2, 2, 1, 4, 0, 3, 0, 1, 4, 1, 1, 2, 0, 4, 3, 1, 3, 0, 2, 0, 2, 0, 4, 1, 2, 2, 0, 3, 3, 1, 0, 0, 3, 3, 0, 3, 2, 2, 3, 3, 1, 0, 2, 3, 1, 4, 1, 3, 2, 0, 2, 4, 1, 0, 3, 4, 0, 0, 1, 1, 0, 2, 0, 0, 3, 4, 0, 2, 3, 1, 1, 0, 1, 0, 3, 1, 3, 1, 0, 1, 1, 3, 2, 2, 1, 3, 0, 2, 0, 4, 2, 3, 3, 1, 1, 0, 2, 3, 2, 1, 1, 2, 1, 3, 1, 3, 0, 1, 0, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 1, 0, 2, 2, 3, 0, 1, 1, 2, 4, 1, 0, 4, 3, 3, 1, 4, 4, 4, 4, 3, 2, 4, 3, 1, 4, 1, 0, 3, 0, 1, 1, 2, 4, 2, 4]
pubkeycol863 = [0, 4, 2, 3, 0, 3, 4, 2, 4, 3, 4, 4, 3, 1, 3, 3, 2, 2, 0, 0, 0, 0, 1, 1, 4, 4, 0, 4, 2, 2, 1, 0, 4, 3, 0, 0, 4, 1, 2, 3, 1, 4, 1, 0, 1, 1, 3, 4, 4, 0, 0, 3, 0, 2, 0, 1, 4, 3, 3, 1, 4, 4, 1, 0, 0, 3, 1, 2, 0, 3, 0, 0, 1, 4, 2, 2, 3, 1, 2, 2, 2, 3, 4, 4, 1, 4, 4, 2, 1, 2, 4, 3, 4, 2, 2, 2, 3, 3, 0, 1, 2, 1, 1, 1, 3, 3, 3, 1, 2, 0, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 4, 1, 4, 0, 3, 4, 2, 3, 1, 2, 2, 0, 1, 4, 2, 4, 4, 0, 4, 0, 4, 0, 2, 0, 2, 1, 3, 1, 1, 0, 1, 1, 4, 1, 4, 2, 0, 4, 1, 4, 0, 1, 2, 4, 3, 2, 2, 4, 0, 3, 4, 3, 0, 3, 4, 1, 2, 0, 0, 1, 2, 0, 1, 3, 2, 1, 1, 1, 1, 0, 2, 3, 1, 4, 2, 4, 4, 0, 3, 1, 2, 0, 2, 0, 3, 2, 3, 2, 2, 0, 2, 1, 0, 3, 0, 3, 3, 0, 1, 1, 0, 4, 0, 1, 2, 0, 1, 0, 0, 1, 3, 4, 0, 3, 0, 0, 1, 2, 3, 4, 4, 2, 1, 2, 1, 1, 2, 3, 0, 2, 3, 1, 4, 3, 3, 3, 3, 0, 1, 2, 3, 3, 3, 2, 2, 2, 4, 1, 1, 4, 2, 4, 0, 4, 4, 0, 2, 1, 3, 2, 2, 4, 2, 0, 1, 1, 2, 3, 3, 3, 4, 1, 1, 3, 1, 3, 4, 3, 1, 3, 0, 3, 2, 3, 0, 1, 3, 4, 2, 0, 4, 3, 3, 2, 1, 4, 1, 2, 4, 3, 3, 3, 1, 1, 3, 3, 0, 0, 0, 0, 4, 1, 4, 4, 2, 2, 1, 4, 4, 4, 3, 4, 4, 0, 2, 3, 0, 2, 3, 0, 3, 1, 1, 1, 0, 2, 1, 1, 4, 3, 2, 3, 1, 2, 4, 2, 4, 3, 4, 1, 1, 1, 4, 2, 1, 3, 2, 2, 3, 1, 3, 3, 1, 4, 0, 4, 4, 0, 0, 3, 0, 0, 2, 0, 3, 2, 0, 1, 3, 3]
pubkeycol864 = [1, 4, 1, 2, 1, 4, 4, 2, 2, 2, 3, 3, 1, 1, 4, 1, 4, 4, 0, 2, 0, 0, 3, 2, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 3, 2, 4, 3, 2, 1, 3, 1, 4, 4, 0, 3, 2, 4, 4, 0, 2, 3, 3, 0, 0, 0, 1, 0, 1, 3, 0, 2, 3, 1, 4, 4, 2, 1, 0, 0, 2, 3, 3, 1, 4, 0, 4, 3, 3, 0, 2, 4, 1, 1, 1, 2, 3, 3, 0, 4, 1, 2, 3, 4, 3, 4, 0, 2, 3, 1, 3, 3, 0, 1, 0, 1, 4, 0, 3, 0, 2, 2, 0, 4, 2, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 0, 0, 0, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 2, 0, 3, 3, 4, 4, 4, 1, 0, 0, 3, 3, 1, 2, 3, 3, 4, 3, 3, 3, 1, 4, 3, 2, 3, 0, 1, 2, 0, 2, 4, 3, 3, 4, 1, 1, 3, 2, 4, 1, 1, 2, 3, 0, 4, 0, 3, 0, 3, 0, 2, 3, 4, 1, 1, 1, 0, 4, 1, 4, 2, 4, 0, 4, 2, 4, 0, 0, 1, 0, 0, 3, 3, 1, 0, 0, 3, 3, 2, 4, 0, 0, 4, 4, 3, 3, 1, 2, 2, 2, 0, 0, 3, 4, 1, 2, 0, 4, 4, 2, 4, 4, 2, 2, 0, 1, 2, 0, 4, 1, 0, 3, 0, 2, 0, 0, 3, 2, 0, 1, 1, 2, 3, 4, 0, 3, 1, 0, 0, 1, 0, 4, 3, 1, 2, 0, 3, 0, 2, 3, 2, 2, 0, 4, 1, 4, 4, 2, 3, 2, 3, 2, 4, 1, 0, 4, 4, 1, 2, 2, 3, 1, 2, 0, 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 3, 4, 4, 0, 0, 4, 3, 0, 0, 0, 2, 2, 0, 3, 2, 2, 1, 1, 0, 4, 2, 1, 2, 3, 3, 4, 0, 0, 2, 4, 3, 4, 3, 3, 4, 2, 4, 3, 0, 4, 2, 4, 4, 4, 3, 4, 2, 2, 4, 0, 4, 0, 4, 3, 3, 4, 4, 1, 0, 4, 2, 2, 0, 4, 1, 1, 2, 4, 1, 4, 4, 3, 2, 4, 0, 1, 0, 3, 0, 3, 4, 2, 0, 3, 1]
pubkeycol865 = [2, 0, 4, 2, 4, 4, 2, 0, 4, 0, 1, 2, 4, 2, 4, 1, 0, 4, 4, 1, 4, 4, 3, 1, 2, 1, 4, 3, 0, 2, 2, 0, 3, 4, 0, 0, 0, 0, 4, 3, 3, 4, 4, 4, 4, 0, 4, 3, 3, 1, 2, 4, 2, 2, 1, 1, 0, 0, 2, 4, 0, 4, 1, 0, 1, 3, 3, 3, 0, 3, 1, 1, 3, 1, 2, 3, 1, 4, 2, 1, 1, 4, 3, 1, 3, 0, 0, 2, 1, 0, 1, 1, 4, 2, 2, 2, 4, 0, 2, 0, 3, 0, 2, 4, 2, 3, 2, 2, 4, 0, 0, 4, 4, 3, 2, 2, 4, 4, 1, 4, 0, 1, 3, 3, 3, 2, 1, 4, 4, 0, 2, 1, 3, 0, 0, 3, 4, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 0, 4, 2, 2, 2, 4, 2, 0, 1, 2, 1, 2, 1, 3, 4, 1, 1, 1, 3, 3, 4, 4, 1, 3, 3, 2, 4, 3, 4, 4, 2, 4, 1, 0, 4, 1, 2, 0, 3, 0, 4, 1, 4, 0, 0, 4, 2, 1, 2, 0, 4, 0, 4, 3, 3, 1, 2, 2, 0, 3, 1, 4, 3, 4, 2, 2, 1, 4, 2, 3, 4, 4, 1, 0, 3, 0, 3, 2, 0, 4, 4, 0, 4, 4, 0, 2, 4, 4, 2, 1, 4, 1, 4, 3, 1, 1, 4, 3, 0, 3, 2, 1, 2, 0, 0, 3, 2, 1, 1, 0, 4, 3, 1, 3, 3, 1, 1, 2, 1, 4, 0, 4, 1, 0, 2, 4, 1, 2, 4, 1, 4, 1, 0, 3, 4, 2, 2, 3, 0, 1, 2, 1, 4, 0, 1, 2, 3, 4, 1, 2, 1, 4, 2, 3, 0, 3, 0, 3, 0, 3, 4, 3, 1, 0, 3, 1, 3, 3, 2, 1, 2, 0, 3, 4, 0, 3, 2, 0, 3, 2, 4, 4, 4, 2, 3, 3, 0, 3, 2, 4, 4, 3, 2, 1, 0, 4, 2, 0, 2, 3, 4, 2, 4, 3, 1, 2, 2, 4, 3, 3, 1, 4, 0, 4, 4, 3, 1, 1, 4, 3, 0, 2, 2, 2, 3, 4, 3, 2, 1, 4, 1, 4, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 3, 2, 0, 1, 4, 4, 4]
pubkeycol866 = [0, 4, 3, 2, 0, 2, 1, 2, 2, 1, 1, 1, 4, 4, 3, 4, 1, 3, 2, 1, 2, 4, 1, 2, 4, 1, 1, 2, 3, 4, 0, 1, 3, 2, 2, 0, 2, 1, 0, 1, 1, 1, 4, 2, 2, 0, 4, 0, 0, 3, 2, 2, 3, 3, 3, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 3, 3, 1, 3, 0, 2, 4, 0, 2, 0, 0, 0, 4, 0, 2, 4, 4, 1, 0, 0, 1, 4, 0, 2, 4, 3, 4, 1, 1, 2, 3, 1, 1, 3, 0, 4, 4, 1, 2, 2, 4, 1, 0, 3, 2, 0, 1, 2, 1, 2, 1, 4, 1, 4, 3, 0, 4, 2, 1, 2, 3, 0, 1, 0, 0, 2, 1, 3, 3, 4, 0, 3, 0, 3, 3, 2, 2, 2, 2, 0, 1, 4, 1, 4, 2, 3, 4, 2, 0, 4, 3, 1, 0, 1, 1, 0, 0, 2, 0, 0, 4, 1, 1, 4, 2, 1, 0, 0, 3, 3, 2, 1, 4, 0, 3, 4, 4, 4, 4, 1, 0, 3, 1, 0, 2, 1, 4, 2, 3, 2, 0, 3, 4, 2, 1, 0, 4, 0, 1, 1, 2, 1, 1, 4, 1, 0, 2, 2, 4, 3, 2, 4, 4, 3, 0, 2, 1, 1, 3, 0, 3, 0, 1, 3, 0, 1, 3, 3, 3, 2, 4, 0, 2, 0, 4, 3, 2, 2, 1, 0, 1, 4, 3, 4, 2, 1, 3, 2, 2, 4, 2, 2, 4, 2, 3, 3, 2, 1, 4, 4, 2, 1, 0, 1, 0, 1, 3, 1, 3, 4, 0, 2, 2, 2, 4, 1, 2, 1, 1, 3, 4, 0, 1, 4, 3, 4, 0, 0, 2, 2, 0, 4, 4, 1, 3, 2, 1, 2, 3, 1, 2, 0, 1, 4, 3, 3, 3, 4, 1, 2, 2, 4, 1, 0, 1, 3, 3, 4, 0, 0, 2, 0, 1, 3, 4, 0, 4, 2, 2, 0, 3, 4, 4, 4, 3, 1, 1, 4, 0, 0, 0, 0, 0, 2, 3, 1, 1, 1, 0, 0, 0, 4, 3, 2, 4, 3, 3, 4, 1, 3, 1, 2, 4, 1, 0, 1, 0, 4, 0, 2, 3, 4, 4, 1, 3, 3, 1, 2, 4, 2, 3, 4, 3, 2, 3, 2, 3, 1, 4, 0, 0, 2, 0, 1, 1]
pubkeycol867 = [1, 1, 1, 2, 3, 2, 0, 1, 1, 4, 2, 1, 1, 0, 0, 1, 3, 2, 3, 4, 0, 4, 0, 2, 2, 1, 3, 2, 4, 4, 3, 4, 4, 0, 2, 0, 2, 0, 4, 0, 2, 2, 1, 0, 0, 0, 0, 2, 4, 3, 4, 3, 3, 4, 3, 3, 0, 2, 1, 2, 4, 0, 1, 0, 4, 3, 1, 4, 2, 2, 2, 3, 1, 0, 2, 1, 4, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 4, 1, 3, 3, 1, 1, 2, 4, 1, 0, 4, 0, 1, 2, 3, 3, 1, 4, 4, 3, 4, 2, 3, 2, 1, 4, 3, 3, 2, 0, 0, 4, 0, 3, 1, 0, 2, 4, 2, 4, 0, 0, 0, 4, 1, 3, 0, 3, 2, 2, 2, 3, 3, 2, 4, 1, 0, 3, 0, 0, 2, 4, 2, 4, 2, 4, 1, 2, 0, 0, 3, 3, 0, 1, 0, 2, 4, 3, 1, 1, 2, 2, 4, 1, 0, 3, 0, 3, 3, 2, 3, 1, 2, 4, 2, 2, 0, 4, 2, 4, 4, 0, 0, 3, 4, 4, 4, 3, 2, 3, 4, 2, 1, 1, 4, 2, 2, 3, 3, 2, 0, 4, 4, 3, 0, 0, 0, 3, 1, 3, 0, 4, 4, 2, 2, 3, 0, 3, 1, 0, 4, 2, 2, 1, 3, 2, 1, 0, 3, 3, 0, 4, 2, 2, 4, 1, 3, 1, 0, 1, 4, 0, 0, 2, 4, 0, 4, 4, 3, 1, 0, 3, 0, 3, 1, 1, 4, 1, 3, 1, 0, 1, 2, 2, 0, 3, 1, 1, 3, 4, 3, 1, 3, 1, 3, 1, 4, 4, 0, 4, 3, 3, 0, 2, 4, 1, 4, 4, 4, 0, 1, 4, 2, 2, 2, 3, 0, 3, 0, 1, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 2, 0, 1, 1, 1, 3, 2, 3, 1, 2, 0, 2, 0, 3, 2, 2, 3, 1, 1, 3, 3, 0, 4, 4, 4, 2, 3, 4, 2, 2, 2, 3, 1, 2, 0, 2, 4, 3, 2, 3, 3, 4, 1, 3, 0, 3, 4, 4, 4, 3, 2, 4, 4, 4, 1, 1, 0, 3, 2, 3, 1, 1, 2, 0, 0, 3, 3, 3, 4, 4, 1, 3, 2, 2, 4, 1]
pubkeycol868 = [4, 3, 3, 4, 1, 3, 0, 3, 4, 0, 0, 0, 0, 3, 4, 0, 0, 4, 0, 3, 0, 2, 0, 4, 2, 4, 1, 4, 4, 3, 4, 2, 0, 0, 0, 3, 0, 1, 3, 2, 4, 3, 4, 4, 1, 0, 2, 0, 1, 2, 3, 0, 2, 1, 3, 0, 1, 0, 1, 3, 1, 1, 2, 1, 0, 3, 3, 3, 0, 2, 2, 1, 0, 0, 3, 1, 2, 3, 0, 1, 3, 4, 0, 1, 1, 0, 3, 1, 0, 4, 0, 3, 1, 4, 3, 0, 3, 2, 1, 2, 0, 1, 2, 0, 4, 1, 1, 3, 4, 0, 2, 2, 2, 0, 0, 4, 3, 4, 1, 1, 0, 2, 3, 0, 0, 1, 1, 0, 3, 3, 3, 3, 1, 4, 2, 2, 0, 0, 3, 4, 4, 1, 4, 4, 1, 1, 0, 0, 1, 2, 3, 1, 2, 0, 4, 3, 0, 2, 1, 3, 1, 0, 0, 4, 3, 4, 2, 3, 3, 1, 1, 3, 0, 1, 3, 3, 4, 0, 2, 0, 2, 0, 0, 0, 3, 0, 0, 2, 3, 1, 0, 2, 2, 4, 1, 4, 1, 0, 2, 1, 1, 2, 1, 4, 2, 4, 4, 1, 2, 1, 2, 3, 4, 2, 2, 4, 0, 1, 2, 0, 4, 4, 0, 4, 1, 0, 1, 4, 2, 4, 3, 2, 3, 0, 1, 2, 0, 1, 2, 1, 0, 3, 2, 3, 1, 0, 3, 4, 4, 2, 3, 3, 2, 4, 2, 4, 0, 1, 2, 1, 1, 1, 3, 1, 2, 2, 1, 1, 0, 2, 3, 0, 2, 2, 4, 1, 2, 2, 2, 3, 2, 2, 1, 4, 4, 3, 0, 2, 0, 3, 2, 3, 3, 1, 0, 2, 2, 1, 1, 2, 3, 3, 2, 4, 2, 3, 2, 2, 0, 4, 2, 1, 1, 0, 2, 0, 4, 1, 0, 2, 1, 2, 1, 2, 0, 1, 3, 4, 1, 3, 4, 0, 3, 3, 2, 0, 0, 1, 0, 0, 3, 4, 3, 1, 3, 4, 0, 4, 0, 0, 4, 2, 2, 4, 0, 0, 2, 0, 4, 1, 0, 1, 3, 4, 0, 3, 0, 3, 1, 2, 2, 4, 2, 4, 1, 0, 1, 1, 4, 4, 4, 1, 2, 3, 4, 4, 0, 2, 3, 1, 3, 1, 4, 1, 4, 1, 3, 2, 4, 4]
pubkeycol869 = [4, 3, 1, 0, 1, 2, 4, 3, 3, 4, 4, 1, 3, 2, 0, 0, 3, 1, 2, 3, 4, 1, 4, 1, 2, 2, 0, 4, 0, 3, 1, 1, 1, 0, 1, 3, 1, 3, 0, 1, 1, 1, 4, 2, 4, 3, 2, 4, 1, 4, 0, 3, 1, 2, 3, 3, 0, 2, 3, 4, 0, 1, 3, 1, 2, 3, 3, 0, 4, 2, 3, 2, 1, 3, 4, 2, 3, 0, 2, 4, 1, 1, 1, 0, 3, 1, 1, 4, 0, 1, 3, 0, 0, 1, 4, 4, 1, 0, 1, 2, 0, 2, 3, 1, 0, 3, 0, 2, 4, 0, 3, 0, 3, 3, 2, 3, 1, 2, 4, 0, 3, 2, 4, 3, 1, 0, 3, 3, 3, 3, 3, 2, 4, 2, 2, 0, 4, 1, 1, 4, 0, 4, 3, 4, 4, 3, 4, 3, 0, 0, 1, 3, 0, 0, 4, 1, 2, 0, 1, 0, 4, 0, 0, 0, 3, 2, 4, 0, 3, 2, 2, 3, 0, 2, 3, 4, 0, 3, 2, 0, 0, 0, 0, 3, 4, 1, 2, 2, 2, 3, 1, 3, 1, 2, 4, 1, 0, 1, 3, 2, 2, 4, 4, 3, 4, 0, 2, 1, 1, 4, 0, 1, 0, 3, 1, 2, 0, 2, 1, 2, 0, 4, 0, 1, 0, 2, 3, 1, 3, 4, 0, 1, 2, 4, 2, 4, 2, 2, 3, 0, 4, 2, 2, 4, 1, 1, 2, 1, 0, 3, 0, 2, 4, 3, 1, 2, 1, 1, 3, 0, 1, 3, 4, 2, 4, 2, 3, 4, 4, 0, 4, 2, 4, 3, 1, 0, 1, 1, 2, 4, 2, 1, 1, 3, 1, 0, 4, 4, 4, 4, 3, 4, 2, 4, 1, 1, 1, 0, 4, 3, 4, 1, 1, 2, 3, 4, 4, 4, 4, 4, 2, 1, 3, 2, 1, 2, 2, 4, 1, 1, 2, 0, 2, 1, 0, 0, 4, 0, 3, 0, 0, 3, 3, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 3, 1, 2, 0, 1, 1, 4, 0, 4, 2, 2, 3, 1, 3, 1, 3, 0, 1, 3, 2, 4, 2, 3, 4, 1, 1, 0, 4, 0, 3, 4, 2, 0, 4, 4, 3, 2, 1, 0, 1, 0, 0, 2, 1, 4, 4, 3, 4, 2, 2, 1, 3, 2, 3, 3]
pubkeycol870 = [4, 2, 4, 0, 1, 4, 4, 4, 3, 2, 0, 0, 0, 3, 4, 0, 2, 3, 3, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 3, 4, 3, 4, 1, 4, 0, 0, 2, 4, 2, 0, 2, 4, 2, 1, 2, 3, 4, 3, 4, 1, 4, 0, 2, 1, 1, 4, 4, 1, 2, 3, 3, 3, 0, 3, 2, 1, 3, 1, 4, 0, 1, 2, 1, 3, 2, 2, 4, 2, 0, 0, 0, 2, 0, 3, 3, 3, 1, 4, 3, 4, 4, 2, 1, 2, 2, 4, 1, 1, 3, 0, 1, 0, 1, 1, 2, 2, 4, 3, 4, 0, 3, 1, 2, 0, 2, 2, 4, 4, 2, 1, 0, 4, 4, 4, 3, 3, 3, 1, 2, 0, 4, 0, 3, 0, 2, 0, 1, 3, 3, 3, 2, 3, 4, 1, 3, 3, 1, 3, 1, 2, 4, 4, 0, 4, 2, 4, 0, 1, 0, 4, 2, 2, 3, 1, 4, 2, 0, 1, 0, 2, 3, 4, 2, 0, 0, 4, 1, 4, 0, 1, 2, 1, 2, 0, 0, 2, 1, 4, 4, 4, 1, 3, 2, 2, 2, 2, 1, 2, 0, 4, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 3, 2, 0, 1, 4, 2, 1, 3, 0, 0, 1, 1, 1, 0, 4, 1, 3, 0, 4, 1, 1, 1, 4, 3, 4, 2, 0, 3, 0, 3, 1, 2, 2, 1, 3, 1, 3, 1, 0, 4, 0, 2, 2, 0, 1, 1, 1, 3, 1, 1, 4, 1, 2, 2, 2, 0, 3, 0, 4, 3, 0, 2, 3, 1, 2, 4, 4, 1, 3, 4, 4, 1, 0, 3, 0, 2, 3, 2, 3, 2, 4, 0, 3, 4, 4, 0, 2, 0, 4, 3, 4, 1, 3, 1, 0, 4, 2, 1, 3, 3, 0, 4, 2, 4, 2, 3, 3, 4, 0, 4, 2, 2, 2, 3, 0, 0, 4, 2, 1, 0, 0, 2, 2, 0, 3, 4, 4, 3, 1, 1, 2, 4, 2, 1, 2, 1, 1, 0, 0, 4, 2, 3, 3, 4, 3, 2, 3, 1, 4, 0, 1, 0, 1, 2, 3, 4, 2, 3, 2, 4, 1, 3, 4, 1, 0, 4, 2, 1, 3, 4, 4, 0, 0, 0, 1, 3, 0, 0, 3, 2, 1, 4, 3, 1, 3, 4]
pubkeycol871 = [0, 2, 3, 1, 4, 1, 3, 1, 4, 1, 4, 4, 0, 0, 0, 3, 4, 1, 2, 1, 4, 4, 1, 4, 2, 2, 2, 2, 1, 0, 1, 0, 4, 1, 1, 0, 1, 1, 4, 4, 2, 3, 3, 1, 4, 1, 4, 0, 1, 4, 1, 4, 2, 1, 1, 0, 4, 0, 2, 4, 2, 1, 2, 3, 4, 3, 2, 0, 2, 2, 4, 4, 1, 0, 1, 4, 3, 2, 0, 0, 3, 0, 0, 2, 0, 2, 3, 0, 2, 0, 2, 3, 1, 4, 4, 4, 4, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, 2, 0, 4, 4, 4, 1, 4, 4, 1, 3, 1, 0, 4, 0, 4, 2, 1, 0, 1, 1, 4, 0, 3, 0, 1, 1, 0, 4, 3, 4, 1, 4, 4, 1, 1, 1, 0, 0, 4, 1, 2, 0, 3, 3, 0, 3, 4, 2, 0, 3, 2, 2, 0, 3, 1, 4, 4, 4, 2, 3, 1, 3, 2, 2, 4, 4, 0, 4, 0, 0, 1, 1, 2, 3, 2, 4, 1, 4, 1, 3, 0, 2, 0, 4, 1, 3, 1, 1, 0, 2, 1, 4, 3, 0, 2, 3, 3, 1, 1, 0, 0, 1, 2, 0, 4, 1, 0, 3, 2, 4, 4, 1, 3, 3, 3, 0, 1, 4, 3, 3, 4, 1, 2, 1, 1, 2, 2, 0, 1, 3, 4, 3, 0, 1, 4, 2, 3, 0, 2, 2, 2, 0, 3, 3, 0, 2, 1, 4, 3, 2, 1, 2, 3, 3, 3, 3, 2, 3, 4, 2, 1, 3, 2, 0, 0, 4, 0, 4, 3, 3, 2, 4, 1, 4, 0, 2, 1, 2, 1, 0, 3, 2, 0, 3, 3, 4, 3, 1, 3, 1, 2, 0, 1, 4, 3, 4, 0, 2, 0, 4, 0, 1, 4, 0, 3, 4, 3, 3, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 3, 1, 2, 1, 0, 1, 4, 2, 1, 3, 2, 0, 1, 0, 2, 4, 0, 4, 1, 3, 1, 4, 2, 0, 0, 2, 3, 4, 4, 0, 2, 3, 1, 0, 4, 1, 0, 4, 3, 1, 1, 1, 0, 3, 0, 4, 0, 3, 1, 1, 3, 1, 2, 2, 3, 4, 0, 1, 4, 1, 3, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 3]
pubkeycol872 = [3, 2, 0, 0, 1, 3, 1, 0, 2, 1, 2, 2, 1, 3, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 3, 1, 3, 0, 1, 4, 4, 3, 1, 3, 0, 2, 3, 3, 2, 2, 4, 0, 3, 3, 3, 1, 0, 4, 3, 0, 3, 3, 4, 4, 2, 2, 2, 3, 4, 1, 2, 4, 4, 0, 3, 4, 3, 3, 3, 0, 4, 0, 4, 3, 0, 1, 2, 2, 0, 4, 2, 4, 2, 1, 4, 3, 3, 0, 3, 1, 0, 1, 4, 4, 1, 2, 3, 3, 1, 0, 0, 1, 4, 2, 3, 1, 3, 3, 4, 4, 2, 3, 0, 3, 4, 4, 3, 3, 0, 1, 0, 0, 1, 3, 4, 3, 3, 1, 1, 1, 2, 0, 0, 0, 3, 2, 3, 1, 2, 1, 1, 0, 2, 4, 1, 1, 1, 4, 3, 4, 0, 4, 4, 4, 1, 2, 2, 4, 3, 0, 3, 0, 1, 1, 1, 0, 3, 0, 2, 0, 1, 3, 3, 0, 0, 1, 3, 1, 3, 2, 3, 3, 1, 3, 0, 1, 2, 1, 2, 0, 0, 0, 1, 4, 1, 4, 0, 3, 0, 4, 0, 2, 4, 1, 4, 1, 4, 1, 0, 0, 3, 2, 1, 4, 2, 3, 1, 4, 3, 3, 1, 3, 1, 1, 1, 2, 1, 3, 4, 1, 1, 2, 3, 0, 0, 0, 0, 4, 4, 3, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 2, 4, 0, 2, 3, 1, 2, 4, 3, 4, 4, 0, 0, 0, 1, 1, 3, 4, 2, 4, 4, 1, 1, 0, 2, 2, 1, 4, 4, 1, 1, 4, 4, 3, 1, 4, 0, 2, 1, 0, 4, 1, 2, 2, 0, 4, 0, 0, 2, 0, 3, 0, 2, 4, 0, 1, 4, 0, 4, 3, 4, 4, 2, 4, 4, 0, 2, 3, 1, 0, 1, 4, 1, 2, 4, 4, 1, 0, 3, 3, 0, 4, 4, 0, 4, 0, 4, 2, 3, 4, 3, 3, 2, 1, 2, 2, 3, 4, 1, 1, 2, 4, 1, 3, 4, 4, 0, 2, 3, 2, 0, 0, 2, 2, 0, 4, 0, 2, 4, 3, 3, 0, 1, 2, 4, 1, 2, 1, 1, 1, 3, 0, 4, 4, 2, 1, 2, 1, 1, 2, 3, 2, 2, 2, 0, 4, 1, 0, 3, 2]
pubkeycol873 = [1, 1, 0, 2, 1, 2, 0, 0, 0, 3, 3, 1, 4, 1, 3, 1, 4, 3, 3, 4, 4, 1, 2, 3, 3, 3, 0, 2, 2, 2, 2, 0, 4, 4, 2, 1, 1, 1, 3, 4, 1, 0, 1, 3, 0, 4, 3, 0, 4, 1, 1, 3, 0, 2, 2, 0, 2, 2, 3, 2, 2, 0, 1, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 0, 2, 3, 1, 0, 1, 3, 4, 3, 3, 3, 2, 4, 1, 3, 4, 3, 3, 3, 4, 2, 1, 1, 1, 3, 0, 1, 4, 3, 2, 3, 1, 0, 0, 4, 1, 4, 1, 4, 4, 1, 0, 0, 1, 2, 0, 1, 4, 0, 2, 4, 2, 3, 4, 2, 1, 2, 1, 1, 0, 1, 3, 3, 3, 4, 1, 0, 2, 0, 3, 1, 4, 1, 3, 1, 0, 1, 4, 1, 2, 1, 1, 1, 4, 3, 1, 3, 0, 0, 0, 4, 1, 0, 1, 0, 1, 4, 3, 3, 0, 1, 4, 2, 1, 1, 3, 0, 1, 4, 1, 0, 0, 0, 3, 3, 4, 0, 0, 0, 1, 1, 4, 3, 1, 1, 4, 1, 1, 4, 1, 4, 1, 4, 3, 0, 2, 4, 2, 2, 4, 3, 2, 1, 0, 4, 0, 1, 2, 0, 1, 2, 0, 3, 0, 4, 3, 0, 0, 2, 1, 0, 1, 4, 4, 0, 1, 0, 1, 3, 1, 0, 4, 0, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 0, 1, 3, 1, 4, 2, 0, 0, 0, 4, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 3, 0, 4, 4, 1, 1, 4, 2, 1, 3, 3, 3, 4, 0, 2, 4, 2, 3, 2, 4, 0, 3, 3, 1, 4, 0, 2, 0, 4, 0, 3, 2, 4, 0, 0, 3, 2, 3, 1, 3, 2, 1, 4, 4, 1, 3, 3, 2, 4, 0, 0, 3, 3, 0, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 0, 4, 3, 3, 0, 3, 2, 0, 4, 3, 1, 2, 4, 3, 4, 0, 4, 4, 1, 1, 4, 0, 4, 3, 4, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 3, 1, 2, 1, 3, 3, 3, 1, 2, 4, 4, 3]
pubkeycol874 = [1, 2, 4, 3, 0, 0, 2, 2, 3, 3, 1, 2, 3, 3, 4, 4, 3, 4, 4, 2, 1, 3, 4, 1, 3, 4, 4, 4, 3, 2, 1, 2, 1, 0, 1, 3, 4, 4, 2, 4, 3, 0, 2, 1, 4, 2, 2, 4, 4, 3, 2, 3, 4, 4, 4, 3, 1, 4, 0, 4, 3, 4, 2, 4, 2, 4, 2, 0, 0, 2, 3, 3, 2, 0, 1, 4, 3, 0, 1, 3, 4, 3, 4, 1, 4, 3, 1, 3, 2, 4, 1, 1, 1, 4, 0, 0, 4, 3, 3, 2, 3, 2, 0, 0, 3, 0, 4, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 4, 0, 2, 2, 4, 1, 0, 0, 4, 2, 0, 1, 3, 0, 4, 3, 3, 4, 3, 4, 3, 4, 4, 3, 4, 2, 2, 1, 3, 2, 0, 2, 1, 1, 2, 1, 3, 0, 4, 0, 0, 2, 3, 2, 0, 1, 1, 2, 4, 0, 1, 0, 3, 2, 4, 4, 3, 1, 3, 4, 4, 0, 3, 0, 4, 2, 4, 1, 1, 4, 4, 0, 2, 2, 0, 4, 4, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 4, 1, 2, 2, 0, 1, 4, 0, 2, 3, 3, 1, 0, 1, 1, 3, 4, 0, 0, 1, 1, 0, 0, 0, 4, 3, 4, 4, 2, 2, 4, 0, 1, 4, 4, 4, 0, 3, 4, 2, 4, 1, 1, 0, 2, 1, 2, 2, 2, 3, 3, 0, 2, 3, 0, 0, 2, 3, 3, 3, 0, 4, 0, 0, 4, 4, 3, 4, 1, 2, 0, 0, 2, 1, 3, 3, 0, 4, 1, 3, 3, 2, 2, 2, 4, 3, 4, 4, 2, 4, 3, 2, 1, 2, 1, 1, 3, 4, 2, 2, 1, 2, 2, 4, 3, 3, 3, 1, 3, 4, 2, 4, 4, 3, 0, 1, 3, 2, 1, 0, 2, 1, 2, 3, 3, 2, 3, 2, 3, 0, 2, 3, 4, 3, 2, 2, 3, 4, 0, 4, 4, 0, 4, 1, 1, 0, 0, 0, 0, 0, 3, 2, 1, 1, 3, 2, 0, 3, 0, 4, 1, 4, 1, 4, 4, 4, 2, 4, 2, 0, 0, 2, 2, 4, 0, 1, 2, 3, 1, 1, 2, 3, 2, 0, 4, 4, 1, 3, 0, 3, 3, 4, 3, 1, 2]
pubkeycol875 = [2, 2, 0, 0, 3, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 4, 0, 4, 3, 3, 0, 4, 2, 4, 2, 2, 1, 2, 3, 0, 0, 2, 3, 1, 4, 4, 1, 3, 1, 2, 1, 0, 0, 1, 2, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 2, 3, 2, 4, 4, 4, 4, 1, 2, 1, 1, 0, 3, 1, 2, 2, 3, 3, 1, 4, 4, 3, 1, 2, 1, 0, 3, 3, 0, 2, 1, 2, 4, 2, 3, 2, 4, 0, 1, 4, 0, 4, 2, 1, 1, 1, 4, 3, 1, 1, 2, 1, 0, 4, 0, 2, 0, 3, 1, 4, 1, 2, 1, 4, 0, 2, 3, 4, 4, 4, 4, 1, 2, 4, 4, 2, 0, 1, 3, 2, 1, 1, 1, 3, 0, 3, 4, 2, 3, 1, 2, 1, 3, 4, 0, 3, 3, 4, 3, 3, 4, 3, 2, 4, 0, 4, 4, 4, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 4, 2, 3, 0, 2, 4, 1, 1, 1, 0, 4, 2, 4, 1, 1, 3, 0, 4, 3, 3, 2, 4, 0, 4, 2, 1, 1, 3, 2, 0, 3, 0, 4, 4, 4, 4, 3, 1, 3, 3, 3, 1, 2, 2, 2, 1, 1, 4, 2, 4, 3, 1, 1, 0, 3, 0, 1, 1, 4, 1, 0, 1, 3, 1, 2, 2, 0, 4, 3, 1, 3, 2, 0, 0, 1, 4, 3, 0, 4, 3, 4, 4, 2, 0, 4, 4, 2, 3, 4, 4, 3, 3, 0, 2, 2, 4, 2, 3, 2, 4, 0, 4, 3, 2, 0, 3, 4, 0, 0, 2, 1, 4, 1, 3, 4, 1, 2, 3, 0, 4, 3, 2, 2, 1, 0, 3, 0, 4, 4, 3, 4, 2, 4, 4, 0, 0, 0, 4, 0, 4, 3, 0, 2, 0, 3, 2, 2, 3, 3, 1, 0, 3, 1, 1, 1, 2, 1, 4, 0, 3, 2, 3, 0, 3, 1, 0, 0, 1, 1, 0, 4, 3, 1, 2, 2, 0, 0, 1, 2, 3, 2, 2, 0, 4, 1, 2, 3, 3, 1, 1, 3, 4, 0, 2, 3, 0, 4, 0, 4, 0, 1, 4, 1, 4, 2, 3, 0, 1, 1, 2, 0, 2, 2, 2, 2, 4, 4, 0, 3, 4, 2, 1, 4]
pubkeycol876 = [0, 2, 1, 2, 3, 0, 4, 4, 0, 4, 1, 1, 0, 0, 4, 3, 0, 2, 2, 1, 0, 0, 1, 4, 3, 1, 2, 3, 4, 1, 1, 3, 1, 2, 4, 3, 2, 3, 1, 0, 2, 1, 1, 3, 2, 3, 2, 4, 1, 2, 0, 4, 3, 0, 0, 3, 1, 0, 4, 0, 2, 1, 1, 1, 0, 3, 0, 1, 1, 3, 2, 4, 1, 0, 3, 2, 2, 4, 0, 3, 4, 0, 3, 3, 3, 1, 3, 4, 2, 0, 3, 2, 2, 0, 4, 4, 2, 2, 0, 0, 2, 4, 1, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 3, 0, 2, 2, 0, 4, 1, 0, 0, 0, 2, 3, 2, 4, 4, 2, 0, 0, 0, 3, 3, 1, 4, 2, 4, 4, 1, 1, 3, 0, 4, 0, 2, 4, 2, 3, 2, 2, 3, 4, 2, 4, 1, 2, 0, 4, 2, 0, 2, 3, 1, 0, 2, 2, 1, 0, 4, 0, 4, 1, 0, 0, 4, 0, 4, 4, 2, 1, 1, 0, 3, 1, 0, 4, 0, 1, 3, 0, 1, 2, 0, 1, 2, 0, 3, 0, 3, 3, 3, 3, 4, 0, 2, 3, 3, 0, 2, 4, 1, 0, 0, 4, 2, 3, 4, 2, 0, 4, 3, 3, 0, 0, 4, 1, 4, 0, 0, 2, 3, 2, 1, 0, 2, 4, 2, 4, 0, 0, 1, 1, 0, 2, 3, 3, 2, 4, 1, 3, 4, 1, 3, 1, 0, 0, 4, 1, 2, 4, 3, 3, 1, 0, 3, 3, 3, 3, 4, 4, 3, 0, 3, 3, 0, 3, 1, 0, 1, 4, 3, 1, 3, 1, 4, 1, 1, 4, 3, 0, 2, 1, 4, 2, 2, 3, 1, 2, 0, 0, 3, 1, 0, 0, 3, 4, 3, 1, 0, 0, 0, 2, 0, 2, 1, 1, 3, 2, 3, 1, 0, 2, 3, 4, 3, 3, 3, 3, 3, 1, 0, 2, 2, 1, 2, 0, 3, 4, 2, 0, 2, 1, 0, 4, 1, 0, 3, 4, 0, 0, 2, 2, 4, 0, 1, 0, 1, 2, 0, 1, 3, 3, 3, 2, 3, 4, 2, 4, 4, 3, 0, 3, 3, 0, 3, 1, 3, 1, 2, 2, 0, 2, 3, 0, 1, 0, 0, 4, 0, 2, 2, 3, 0, 1]
pubkeycol877 = [3, 2, 4, 1, 1, 1, 2, 4, 2, 0, 0, 4, 4, 1, 3, 0, 3, 4, 1, 3, 2, 4, 1, 4, 0, 0, 0, 1, 4, 3, 0, 0, 2, 1, 3, 4, 2, 2, 1, 2, 4, 4, 3, 2, 1, 1, 0, 1, 4, 2, 3, 1, 2, 4, 1, 1, 1, 2, 3, 0, 4, 2, 0, 0, 0, 1, 3, 2, 3, 0, 1, 2, 0, 4, 0, 2, 2, 0, 4, 2, 4, 2, 4, 1, 1, 0, 3, 4, 2, 4, 2, 2, 2, 4, 2, 1, 4, 4, 2, 1, 4, 2, 4, 1, 0, 2, 1, 3, 4, 1, 1, 1, 1, 2, 3, 4, 2, 0, 4, 2, 0, 3, 4, 2, 2, 4, 1, 4, 3, 4, 1, 2, 3, 4, 2, 4, 2, 2, 0, 2, 1, 4, 1, 4, 4, 2, 0, 4, 0, 3, 2, 0, 0, 0, 3, 3, 1, 1, 3, 0, 4, 4, 2, 3, 3, 2, 1, 4, 3, 2, 0, 2, 2, 4, 3, 0, 2, 1, 3, 1, 2, 2, 2, 0, 0, 4, 0, 2, 2, 1, 3, 2, 4, 4, 0, 1, 0, 1, 4, 4, 2, 4, 0, 0, 2, 3, 1, 1, 0, 0, 4, 2, 3, 2, 2, 2, 2, 4, 0, 3, 3, 1, 2, 3, 1, 4, 3, 1, 1, 1, 1, 2, 1, 1, 4, 3, 3, 1, 2, 4, 3, 1, 1, 3, 3, 2, 4, 4, 3, 0, 4, 0, 2, 3, 0, 3, 0, 4, 1, 2, 2, 1, 2, 3, 3, 3, 4, 4, 1, 0, 2, 4, 2, 4, 2, 2, 4, 2, 0, 2, 4, 4, 2, 1, 4, 2, 4, 1, 4, 1, 2, 4, 0, 1, 4, 2, 1, 1, 4, 3, 3, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 3, 1, 1, 0, 0, 0, 0, 3, 4, 3, 1, 3, 0, 4, 1, 4, 0, 3, 0, 4, 4, 2, 0, 1, 3, 3, 0, 0, 2, 4, 1, 1, 1, 4, 3, 2, 4, 2, 0, 4, 3, 0, 4, 3, 4, 0, 0, 1, 4, 4, 2, 3, 2, 3, 1, 1, 2, 2, 0, 2, 4, 0, 1, 0, 4, 1, 4, 3, 3, 0, 3, 3, 4, 2, 1, 2, 2, 2, 2, 2, 1, 4, 2, 4, 1, 0, 4, 4, 2]
pubkeycol878 = [4, 0, 3, 4, 0, 3, 3, 2, 2, 1, 3, 2, 3, 4, 4, 0, 0, 4, 0, 4, 2, 3, 3, 2, 3, 3, 3, 2, 0, 3, 2, 2, 4, 3, 0, 0, 1, 1, 3, 4, 2, 2, 0, 2, 3, 1, 4, 4, 1, 0, 1, 4, 1, 3, 0, 2, 3, 1, 1, 0, 4, 1, 2, 2, 4, 3, 4, 2, 4, 1, 4, 1, 1, 4, 2, 1, 1, 1, 0, 1, 4, 1, 3, 1, 2, 1, 4, 0, 0, 2, 0, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 4, 3, 4, 2, 3, 4, 4, 2, 3, 0, 1, 2, 4, 2, 3, 2, 2, 3, 4, 3, 1, 2, 2, 1, 4, 3, 4, 4, 1, 4, 4, 1, 2, 4, 2, 3, 4, 1, 4, 3, 3, 4, 3, 0, 0, 3, 1, 2, 1, 2, 3, 4, 2, 3, 1, 2, 4, 4, 3, 3, 0, 3, 3, 0, 4, 2, 1, 3, 0, 1, 4, 4, 2, 3, 0, 4, 2, 1, 4, 4, 3, 4, 4, 0, 0, 3, 2, 4, 0, 0, 2, 0, 4, 4, 3, 3, 3, 3, 0, 2, 4, 3, 0, 0, 3, 2, 2, 2, 3, 2, 0, 1, 2, 2, 4, 3, 4, 3, 1, 0, 2, 0, 3, 3, 4, 2, 3, 1, 0, 1, 3, 4, 2, 4, 0, 1, 1, 2, 3, 4, 4, 0, 2, 3, 2, 1, 1, 3, 3, 3, 1, 3, 4, 4, 1, 2, 4, 3, 3, 4, 1, 2, 4, 3, 3, 2, 1, 2, 2, 1, 4, 2, 0, 2, 2, 3, 3, 1, 2, 3, 2, 2, 1, 3, 4, 1, 0, 2, 3, 1, 1, 1, 1, 4, 3, 0, 2, 2, 4, 0, 3, 4, 4, 3, 1, 4, 1, 0, 2, 0, 4, 4, 4, 1, 2, 0, 3, 2, 0, 3, 3, 1, 4, 1, 0, 0, 3, 0, 0, 0, 3, 0, 2, 0, 3, 1, 3, 1, 4, 0, 1, 3, 1, 3, 1, 2, 4, 0, 4, 1, 4, 2, 1, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 4, 0, 3, 4, 1, 2, 4, 2, 1, 0, 2, 2, 3, 2, 0, 2, 4, 3, 1, 2, 4, 4, 1, 1, 4, 2, 3, 4, 3, 1, 2, 2]
pubkeycol879 = [3, 4, 0, 0, 0, 1, 2, 0, 4, 4, 3, 4, 2, 0, 0, 2, 0, 0, 3, 2, 2, 1, 1, 1, 2, 4, 4, 2, 2, 1, 4, 3, 1, 2, 0, 1, 3, 4, 4, 2, 2, 2, 3, 3, 0, 0, 1, 3, 4, 4, 3, 0, 0, 4, 2, 4, 0, 0, 2, 2, 3, 3, 0, 4, 2, 0, 3, 3, 3, 4, 0, 0, 0, 0, 2, 1, 4, 2, 2, 0, 0, 3, 1, 1, 3, 1, 0, 3, 2, 1, 0, 2, 2, 2, 3, 2, 0, 3, 1, 2, 4, 1, 3, 1, 2, 0, 2, 3, 1, 3, 2, 3, 4, 3, 3, 2, 0, 3, 3, 2, 1, 0, 1, 3, 2, 2, 1, 3, 0, 1, 0, 1, 2, 4, 0, 2, 1, 2, 4, 2, 3, 4, 0, 2, 2, 0, 4, 3, 0, 4, 0, 1, 2, 2, 1, 2, 1, 1, 0, 4, 3, 2, 0, 3, 2, 0, 2, 0, 1, 2, 4, 2, 1, 1, 2, 1, 1, 3, 4, 2, 3, 3, 0, 1, 4, 0, 2, 3, 0, 0, 0, 4, 0, 2, 3, 1, 4, 1, 3, 2, 1, 2, 2, 2, 2, 0, 3, 2, 2, 0, 2, 3, 1, 1, 3, 3, 3, 3, 4, 4, 2, 4, 2, 0, 4, 2, 2, 0, 3, 0, 4, 4, 2, 0, 3, 0, 4, 1, 1, 2, 1, 0, 3, 1, 0, 0, 1, 4, 1, 2, 3, 4, 2, 2, 4, 4, 2, 0, 1, 3, 3, 4, 3, 1, 2, 1, 3, 0, 4, 0, 0, 3, 1, 0, 2, 1, 1, 2, 3, 0, 4, 1, 2, 0, 4, 0, 2, 0, 1, 3, 3, 0, 3, 1, 3, 4, 0, 1, 2, 1, 2, 1, 1, 3, 2, 0, 0, 3, 4, 1, 1, 2, 1, 3, 3, 1, 3, 2, 1, 3, 4, 2, 1, 1, 4, 4, 2, 1, 0, 4, 4, 0, 0, 1, 0, 4, 3, 4, 4, 3, 0, 0, 4, 0, 4, 3, 3, 1, 0, 2, 3, 3, 3, 0, 2, 1, 1, 3, 2, 1, 0, 0, 1, 0, 4, 0, 0, 3, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 3, 0, 2, 4, 2, 4, 0, 4, 1, 1, 4, 3, 0, 3, 0, 2, 2, 1, 1, 2, 4, 1]
pubkeycol880 = [0, 0, 1, 0, 3, 0, 4, 3, 1, 0, 1, 4, 0, 0, 0, 2, 2, 0, 1, 1, 4, 4, 4, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 3, 1, 1, 0, 4, 1, 1, 0, 0, 0, 2, 2, 3, 0, 0, 3, 4, 0, 4, 4, 4, 0, 3, 0, 3, 4, 0, 1, 0, 3, 2, 1, 1, 4, 0, 4, 3, 2, 0, 2, 1, 0, 3, 3, 2, 3, 0, 4, 0, 1, 4, 0, 1, 0, 4, 0, 1, 0, 3, 4, 2, 0, 0, 0, 2, 3, 4, 0, 1, 2, 0, 2, 3, 2, 3, 3, 4, 3, 3, 1, 2, 4, 2, 3, 1, 4, 4, 2, 0, 4, 4, 0, 4, 3, 2, 1, 4, 0, 0, 0, 3, 1, 1, 4, 3, 0, 4, 0, 4, 3, 1, 4, 2, 3, 0, 2, 1, 1, 2, 0, 3, 1, 2, 2, 4, 1, 4, 4, 2, 0, 3, 4, 3, 4, 2, 0, 0, 4, 4, 4, 3, 1, 4, 3, 1, 3, 4, 1, 1, 3, 4, 2, 0, 3, 1, 1, 3, 0, 4, 2, 4, 0, 0, 4, 1, 0, 0, 3, 2, 1, 3, 4, 2, 1, 0, 2, 3, 3, 3, 2, 1, 1, 2, 4, 3, 3, 0, 2, 3, 2, 3, 1, 3, 3, 2, 1, 1, 2, 4, 4, 4, 3, 4, 0, 0, 2, 1, 1, 2, 0, 1, 4, 3, 2, 0, 0, 2, 2, 1, 3, 2, 2, 3, 2, 3, 1, 1, 3, 0, 4, 1, 4, 1, 0, 1, 2, 3, 1, 2, 4, 0, 1, 3, 4, 1, 0, 1, 1, 2, 4, 4, 3, 4, 4, 0, 4, 3, 2, 4, 2, 1, 1, 4, 0, 2, 0, 0, 4, 0, 1, 4, 1, 0, 0, 0, 2, 3, 2, 0, 0, 2, 2, 4, 1, 1, 2, 4, 0, 4, 4, 3, 4, 0, 1, 3, 1, 0, 2, 1, 3, 0, 3, 0, 1, 3, 4, 2, 3, 4, 4, 1, 0, 3, 2, 0, 2, 2, 1, 4, 1, 0, 3, 1, 0, 1, 2, 3, 2, 2, 3, 4, 3, 2, 3, 4, 1, 1, 0, 1, 1, 0, 4, 2, 4, 1, 4, 0, 3, 2, 3, 0, 2, 3, 0, 3, 3, 0, 4, 2, 0, 3, 0, 3]
pubkeycol881 = [0, 1, 4, 2, 0, 2, 2, 2, 4, 4, 1, 3, 1, 1, 2, 1, 3, 2, 3, 0, 0, 4, 2, 2, 4, 0, 1, 0, 4, 4, 4, 2, 1, 0, 4, 0, 1, 0, 2, 1, 4, 2, 4, 0, 2, 0, 4, 4, 3, 0, 3, 4, 1, 0, 2, 3, 2, 0, 3, 0, 2, 4, 4, 3, 1, 1, 0, 2, 1, 0, 0, 4, 2, 4, 3, 3, 2, 2, 0, 4, 4, 3, 2, 1, 1, 0, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 3, 0, 2, 4, 2, 2, 0, 2, 1, 2, 0, 1, 0, 4, 0, 1, 2, 3, 1, 0, 1, 0, 2, 0, 2, 2, 3, 1, 0, 3, 1, 4, 2, 4, 0, 0, 2, 2, 2, 4, 1, 1, 3, 4, 1, 1, 1, 0, 0, 2, 0, 3, 0, 1, 4, 2, 2, 3, 2, 4, 2, 2, 3, 2, 2, 3, 1, 4, 1, 2, 4, 4, 1, 2, 4, 1, 4, 4, 0, 3, 3, 2, 4, 4, 0, 3, 2, 4, 2, 0, 3, 2, 1, 4, 0, 1, 0, 2, 3, 2, 4, 2, 0, 2, 0, 2, 1, 4, 0, 1, 0, 4, 1, 3, 3, 2, 0, 4, 1, 3, 0, 4, 0, 2, 2, 3, 2, 4, 4, 1, 4, 2, 2, 2, 4, 3, 1, 2, 1, 1, 2, 2, 3, 4, 1, 1, 1, 3, 1, 0, 4, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 3, 2, 2, 2, 4, 0, 3, 0, 0, 2, 2, 1, 1, 2, 3, 0, 2, 2, 4, 4, 1, 0, 1, 3, 1, 1, 2, 3, 2, 0, 1, 1, 2, 0, 3, 1, 1, 1, 0, 3, 0, 0, 2, 0, 4, 0, 4, 3, 4, 2, 2, 1, 0, 1, 0, 0, 3, 0, 3, 1, 1, 2, 2, 1, 2, 0, 1, 3, 0, 0, 0, 3, 4, 0, 3, 4, 2, 0, 4, 3, 2, 2, 2, 2, 0, 2, 4, 4, 2, 4, 4, 3, 4, 1, 0, 0, 4, 1, 4, 3, 1, 2, 1, 1, 2, 2, 0, 3, 1, 0, 0, 1, 3, 1, 2, 4, 3, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 4, 1, 4, 2, 3, 3, 1, 4, 0, 4, 4, 1, 4, 1, 3]
pubkeycol882 = [1, 3, 1, 4, 0, 3, 3, 3, 0, 3, 1, 2, 0, 0, 4, 1, 1, 0, 4, 2, 2, 3, 3, 3, 4, 4, 1, 1, 0, 0, 4, 4, 4, 2, 2, 1, 1, 3, 3, 0, 4, 3, 4, 3, 3, 2, 2, 0, 0, 3, 2, 3, 1, 3, 1, 0, 4, 0, 1, 1, 1, 2, 2, 4, 3, 1, 4, 3, 3, 0, 3, 1, 3, 4, 3, 3, 2, 2, 0, 4, 1, 3, 4, 3, 3, 2, 4, 3, 4, 3, 4, 1, 2, 0, 0, 1, 3, 1, 1, 1, 3, 4, 1, 1, 3, 2, 2, 4, 3, 1, 0, 0, 2, 1, 1, 4, 2, 1, 1, 1, 1, 3, 2, 0, 0, 0, 4, 2, 0, 4, 0, 0, 0, 4, 0, 2, 4, 0, 4, 0, 4, 1, 0, 0, 3, 4, 3, 1, 4, 2, 4, 2, 0, 1, 0, 1, 4, 2, 3, 4, 0, 0, 1, 0, 1, 0, 3, 2, 4, 2, 3, 0, 3, 4, 3, 0, 1, 2, 2, 3, 0, 4, 2, 4, 3, 4, 3, 0, 0, 4, 4, 0, 0, 3, 3, 3, 2, 1, 4, 3, 2, 1, 0, 1, 1, 3, 4, 2, 0, 2, 0, 0, 0, 4, 2, 4, 3, 0, 3, 2, 4, 3, 4, 4, 1, 1, 1, 3, 4, 2, 1, 0, 1, 0, 4, 0, 1, 2, 0, 0, 1, 2, 0, 3, 1, 2, 2, 2, 1, 3, 3, 2, 4, 4, 3, 0, 4, 3, 4, 1, 4, 1, 2, 1, 2, 1, 1, 4, 4, 0, 1, 1, 3, 4, 1, 4, 1, 4, 4, 1, 2, 3, 4, 1, 0, 1, 3, 4, 2, 3, 4, 1, 1, 2, 3, 0, 2, 3, 4, 4, 2, 4, 0, 4, 3, 0, 4, 3, 3, 2, 3, 1, 3, 4, 2, 0, 2, 1, 1, 1, 0, 2, 4, 1, 3, 0, 1, 3, 2, 3, 1, 0, 3, 1, 0, 4, 1, 0, 3, 0, 2, 2, 4, 2, 1, 1, 3, 0, 3, 2, 1, 1, 0, 0, 0, 3, 2, 3, 0, 1, 1, 3, 3, 4, 0, 0, 3, 4, 2, 3, 4, 1, 0, 4, 3, 2, 0, 2, 1, 2, 3, 3, 3, 4, 1, 4, 4, 0, 1, 2, 0, 3, 3, 3, 4, 2, 3, 3, 4, 3]
pubkeycol883 = [3, 4, 4, 1, 2, 3, 2, 0, 2, 1, 0, 1, 2, 3, 0, 1, 4, 4, 2, 2, 4, 4, 4, 1, 4, 0, 3, 1, 3, 4, 1, 2, 3, 1, 2, 3, 1, 3, 0, 1, 0, 1, 1, 0, 4, 3, 2, 4, 4, 4, 2, 0, 4, 2, 1, 4, 0, 1, 3, 0, 2, 0, 4, 2, 4, 4, 3, 4, 3, 4, 1, 3, 2, 3, 3, 3, 0, 0, 1, 3, 0, 3, 0, 2, 2, 3, 4, 4, 3, 2, 2, 4, 1, 0, 1, 4, 1, 2, 0, 3, 3, 2, 2, 1, 2, 0, 0, 0, 2, 3, 1, 3, 2, 2, 2, 3, 0, 0, 1, 3, 0, 0, 3, 3, 4, 0, 3, 2, 3, 2, 2, 4, 3, 0, 2, 2, 3, 3, 1, 4, 3, 1, 3, 1, 1, 4, 0, 2, 2, 0, 4, 3, 0, 0, 0, 1, 2, 4, 4, 2, 0, 2, 3, 2, 0, 3, 2, 4, 0, 0, 0, 2, 1, 1, 0, 2, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 0, 4, 3, 1, 0, 0, 0, 0, 4, 0, 0, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 3, 3, 4, 3, 4, 0, 4, 2, 1, 1, 2, 0, 2, 1, 3, 3, 3, 1, 2, 2, 3, 2, 1, 1, 2, 4, 4, 1, 4, 0, 0, 0, 0, 3, 1, 0, 4, 3, 3, 2, 2, 1, 2, 0, 2, 0, 0, 3, 1, 4, 1, 1, 2, 2, 4, 2, 4, 0, 2, 1, 0, 4, 3, 1, 4, 4, 2, 4, 2, 2, 2, 0, 3, 4, 0, 0, 2, 3, 2, 1, 3, 1, 4, 4, 3, 2, 4, 2, 4, 4, 3, 0, 0, 0, 1, 2, 4, 3, 2, 3, 2, 0, 0, 2, 3, 4, 0, 3, 2, 3, 0, 0, 0, 2, 1, 3, 4, 4, 0, 3, 3, 0, 2, 0, 1, 0, 0, 1, 4, 3, 0, 0, 2, 2, 1, 4, 0, 4, 3, 4, 4, 0, 4, 0, 0, 4, 1, 2, 4, 0, 4, 1, 2, 3, 0, 1, 3, 4, 3, 3, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 0, 0, 0, 4, 2, 2, 1, 0, 4, 0, 2, 2, 4]
pubkeycol884 = [2, 1, 1, 3, 1, 1, 4, 3, 2, 0, 4, 1, 1, 0, 0, 3, 4, 2, 2, 4, 2, 0, 0, 2, 0, 4, 0, 3, 1, 1, 0, 1, 1, 0, 1, 4, 2, 3, 4, 3, 3, 2, 0, 2, 4, 4, 3, 0, 2, 0, 1, 0, 2, 0, 0, 3, 2, 0, 4, 2, 3, 2, 2, 0, 4, 3, 1, 3, 2, 1, 2, 4, 2, 1, 2, 3, 3, 1, 1, 2, 0, 0, 3, 4, 2, 4, 1, 2, 3, 3, 3, 1, 2, 0, 1, 2, 0, 2, 1, 4, 4, 1, 4, 2, 4, 0, 2, 3, 3, 0, 0, 1, 1, 3, 4, 0, 3, 0, 2, 4, 1, 0, 2, 4, 2, 1, 0, 2, 1, 3, 1, 0, 4, 2, 3, 0, 2, 2, 1, 0, 0, 3, 1, 3, 1, 4, 3, 3, 3, 0, 1, 0, 2, 2, 4, 4, 1, 3, 0, 3, 4, 0, 4, 3, 4, 2, 4, 1, 0, 1, 3, 4, 4, 2, 1, 2, 3, 1, 1, 1, 0, 4, 4, 0, 3, 0, 4, 2, 4, 3, 1, 1, 2, 1, 0, 3, 1, 0, 2, 2, 1, 2, 0, 3, 2, 0, 0, 4, 4, 2, 0, 1, 2, 2, 1, 3, 4, 0, 1, 3, 0, 2, 4, 3, 0, 3, 0, 1, 2, 0, 0, 0, 0, 3, 4, 4, 0, 1, 2, 3, 0, 4, 3, 1, 2, 2, 1, 4, 1, 4, 0, 4, 2, 1, 0, 3, 2, 2, 1, 0, 0, 2, 1, 4, 2, 3, 1, 4, 3, 3, 3, 4, 3, 1, 1, 0, 3, 3, 1, 4, 0, 4, 3, 2, 4, 1, 0, 4, 2, 2, 4, 3, 0, 0, 2, 0, 0, 1, 0, 4, 3, 1, 0, 1, 4, 4, 4, 4, 2, 4, 1, 3, 3, 4, 1, 3, 0, 4, 3, 2, 2, 2, 0, 2, 1, 4, 1, 3, 1, 2, 4, 3, 1, 2, 1, 1, 4, 0, 0, 4, 2, 0, 3, 3, 2, 0, 0, 2, 4, 2, 2, 2, 2, 3, 3, 0, 3, 0, 1, 0, 3, 2, 4, 0, 2, 3, 2, 1, 3, 4, 0, 1, 4, 2, 4, 4, 1, 1, 4, 1, 0, 2, 0, 0, 0, 0, 3, 2, 0, 1, 1, 0, 3, 3, 2, 0, 4, 4, 4, 2]
pubkeycol885 = [0, 2, 1, 0, 3, 1, 0, 3, 1, 3, 3, 1, 1, 2, 4, 2, 3, 2, 1, 3, 1, 2, 2, 3, 0, 4, 4, 0, 2, 3, 2, 1, 3, 2, 3, 0, 1, 3, 1, 0, 3, 3, 4, 4, 3, 2, 2, 3, 3, 0, 1, 1, 0, 4, 3, 0, 4, 3, 3, 2, 2, 4, 0, 1, 1, 4, 4, 2, 3, 0, 4, 4, 0, 2, 4, 4, 1, 0, 0, 0, 4, 4, 4, 3, 1, 4, 1, 1, 0, 2, 1, 3, 3, 4, 4, 4, 2, 1, 0, 0, 4, 0, 1, 2, 0, 1, 1, 3, 4, 4, 0, 2, 2, 0, 0, 0, 1, 1, 4, 4, 4, 3, 4, 2, 0, 0, 4, 4, 1, 3, 0, 4, 4, 0, 4, 4, 2, 2, 4, 1, 3, 1, 1, 4, 1, 3, 1, 4, 1, 0, 2, 0, 1, 1, 4, 4, 1, 0, 0, 3, 0, 4, 4, 1, 2, 4, 1, 4, 1, 4, 1, 2, 3, 4, 0, 1, 3, 4, 0, 3, 2, 4, 1, 3, 1, 2, 2, 0, 2, 1, 2, 1, 1, 3, 4, 3, 2, 1, 2, 4, 1, 4, 4, 4, 1, 1, 4, 3, 1, 3, 2, 3, 0, 3, 4, 3, 4, 0, 1, 3, 2, 2, 4, 2, 4, 1, 4, 4, 1, 1, 4, 0, 2, 0, 1, 2, 3, 3, 3, 0, 1, 2, 1, 0, 0, 0, 0, 2, 4, 1, 0, 3, 1, 3, 2, 3, 0, 2, 3, 0, 1, 1, 4, 4, 2, 3, 4, 0, 4, 1, 0, 2, 0, 1, 3, 2, 0, 0, 0, 2, 3, 3, 1, 2, 1, 2, 2, 1, 4, 1, 4, 0, 4, 3, 3, 1, 0, 3, 1, 0, 1, 1, 1, 0, 4, 4, 4, 4, 2, 1, 4, 0, 1, 0, 4, 0, 3, 3, 2, 3, 4, 4, 1, 0, 2, 4, 4, 2, 1, 4, 0, 1, 0, 3, 4, 4, 1, 3, 3, 3, 1, 3, 1, 1, 0, 0, 4, 4, 2, 4, 4, 3, 1, 2, 0, 1, 2, 1, 3, 2, 4, 0, 3, 0, 4, 3, 1, 1, 0, 3, 4, 4, 4, 1, 4, 4, 0, 4, 3, 3, 3, 2, 1, 2, 3, 2, 3, 1, 3, 0, 4, 0, 4, 2, 0, 1, 2, 4, 1, 3]
pubkeycol886 = [0, 3, 0, 4, 4, 4, 4, 3, 4, 0, 4, 3, 1, 1, 4, 2, 3, 0, 4, 2, 4, 1, 0, 2, 1, 0, 4, 0, 3, 4, 4, 0, 0, 4, 3, 4, 1, 2, 4, 3, 2, 1, 1, 2, 3, 4, 0, 2, 2, 2, 2, 3, 4, 4, 2, 3, 3, 4, 0, 3, 1, 2, 4, 2, 3, 3, 2, 3, 4, 3, 4, 2, 0, 4, 1, 3, 0, 1, 2, 1, 0, 4, 3, 4, 2, 0, 4, 1, 1, 4, 0, 3, 2, 1, 4, 4, 3, 4, 4, 1, 0, 1, 0, 2, 4, 0, 2, 1, 3, 4, 0, 2, 2, 2, 4, 2, 2, 1, 2, 3, 3, 2, 4, 3, 0, 0, 1, 4, 0, 2, 3, 1, 3, 4, 1, 2, 0, 1, 2, 1, 0, 4, 1, 4, 1, 3, 2, 0, 3, 4, 2, 2, 4, 4, 3, 2, 0, 4, 1, 2, 0, 1, 0, 4, 1, 2, 3, 1, 0, 3, 3, 0, 1, 3, 0, 2, 0, 3, 2, 3, 3, 1, 0, 4, 2, 1, 4, 2, 3, 3, 4, 3, 2, 2, 3, 3, 0, 3, 3, 4, 1, 1, 3, 4, 3, 3, 1, 2, 0, 4, 1, 4, 4, 3, 3, 4, 2, 4, 0, 2, 2, 3, 2, 4, 4, 4, 0, 1, 0, 4, 1, 1, 1, 0, 2, 2, 0, 1, 3, 1, 4, 1, 0, 4, 0, 0, 4, 1, 4, 4, 3, 4, 4, 3, 0, 3, 0, 4, 1, 2, 1, 3, 2, 4, 0, 3, 4, 1, 0, 3, 1, 4, 1, 4, 2, 4, 3, 3, 3, 2, 4, 4, 0, 3, 0, 1, 1, 3, 4, 3, 2, 3, 3, 4, 1, 4, 0, 4, 2, 1, 4, 4, 3, 0, 0, 4, 2, 4, 4, 3, 4, 2, 1, 4, 0, 1, 1, 2, 2, 4, 1, 1, 3, 2, 0, 0, 0, 0, 4, 3, 0, 1, 3, 4, 3, 4, 0, 4, 1, 3, 1, 3, 3, 3, 1, 1, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 4, 2, 1, 1, 4, 3, 3, 0, 1, 1, 0, 4, 4, 0, 0, 0, 2, 0, 3, 0, 3, 4, 4, 3, 2, 3, 2, 2, 1, 2, 4, 3, 3, 0, 3, 0, 3, 3, 0]
pubkeycol887 = [2, 4, 4, 2, 4, 0, 0, 2, 1, 1, 0, 2, 4, 0, 3, 2, 0, 3, 4, 3, 2, 0, 3, 1, 3, 2, 2, 2, 1, 3, 4, 2, 1, 1, 2, 2, 3, 1, 2, 3, 0, 2, 3, 4, 2, 2, 0, 4, 4, 0, 3, 4, 2, 3, 4, 3, 0, 0, 3, 1, 3, 4, 3, 1, 2, 3, 4, 2, 2, 2, 4, 3, 2, 0, 0, 3, 4, 3, 3, 3, 0, 4, 2, 0, 4, 3, 1, 2, 2, 0, 3, 4, 1, 1, 1, 0, 3, 1, 0, 2, 2, 1, 4, 2, 1, 0, 4, 1, 4, 0, 1, 2, 1, 1, 3, 0, 2, 3, 1, 1, 4, 4, 3, 0, 2, 3, 1, 2, 1, 4, 0, 3, 0, 2, 3, 0, 2, 0, 0, 3, 2, 1, 3, 3, 2, 2, 2, 3, 3, 2, 0, 0, 4, 2, 0, 0, 2, 2, 1, 2, 4, 2, 3, 0, 2, 4, 0, 1, 4, 1, 2, 1, 2, 2, 0, 2, 1, 4, 0, 4, 2, 3, 4, 3, 4, 2, 0, 0, 4, 3, 1, 4, 1, 3, 4, 0, 2, 0, 2, 2, 1, 4, 4, 2, 0, 1, 2, 2, 0, 4, 1, 1, 0, 2, 1, 0, 0, 4, 1, 2, 1, 1, 1, 4, 0, 2, 3, 2, 1, 1, 1, 1, 3, 0, 4, 2, 2, 3, 3, 1, 0, 0, 2, 4, 0, 3, 2, 3, 0, 1, 1, 2, 4, 4, 4, 0, 1, 3, 2, 3, 2, 0, 0, 1, 0, 4, 0, 1, 2, 0, 3, 0, 1, 0, 3, 4, 3, 1, 2, 0, 1, 0, 2, 4, 0, 4, 4, 3, 2, 0, 3, 3, 3, 3, 4, 1, 1, 1, 4, 0, 1, 3, 0, 4, 2, 1, 4, 0, 2, 1, 2, 2, 3, 1, 0, 3, 2, 0, 4, 3, 3, 0, 0, 2, 1, 3, 1, 1, 4, 0, 2, 4, 0, 2, 0, 3, 2, 4, 4, 1, 1, 2, 4, 0, 3, 1, 2, 2, 1, 3, 1, 1, 2, 4, 4, 4, 3, 0, 0, 4, 4, 2, 1, 3, 4, 1, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 4, 2, 4, 4, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 3]
pubkeycol888 = [0, 3, 1, 2, 3, 0, 2, 3, 2, 3, 0, 3, 0, 4, 1, 1, 0, 2, 4, 0, 4, 4, 0, 4, 1, 2, 3, 1, 1, 0, 3, 2, 1, 4, 3, 3, 1, 4, 3, 4, 2, 4, 3, 3, 1, 3, 2, 1, 1, 1, 2, 1, 1, 4, 0, 0, 3, 1, 1, 0, 3, 0, 4, 0, 3, 2, 2, 0, 4, 0, 4, 4, 1, 0, 0, 3, 1, 4, 0, 1, 2, 1, 0, 1, 3, 2, 3, 2, 3, 0, 4, 4, 1, 0, 1, 1, 1, 4, 3, 2, 1, 0, 4, 0, 0, 3, 1, 1, 4, 1, 3, 3, 4, 3, 4, 1, 3, 3, 0, 0, 0, 3, 1, 4, 2, 2, 1, 2, 1, 1, 3, 1, 4, 4, 3, 1, 0, 4, 2, 3, 0, 3, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 2, 4, 2, 1, 2, 4, 2, 3, 3, 4, 3, 4, 2, 0, 2, 2, 0, 0, 4, 2, 2, 0, 3, 0, 2, 4, 3, 0, 2, 1, 4, 1, 2, 3, 4, 4, 1, 2, 0, 1, 4, 3, 2, 2, 1, 2, 0, 2, 0, 3, 4, 3, 1, 4, 2, 0, 3, 3, 2, 4, 4, 0, 3, 2, 2, 4, 4, 1, 0, 3, 4, 4, 0, 2, 1, 0, 0, 1, 4, 4, 2, 2, 1, 0, 3, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 4, 2, 3, 3, 2, 0, 0, 3, 3, 4, 4, 3, 2, 4, 4, 1, 3, 2, 2, 0, 4, 2, 2, 2, 1, 0, 2, 0, 4, 2, 0, 1, 0, 1, 2, 0, 4, 0, 1, 3, 0, 0, 4, 2, 2, 4, 1, 0, 4, 0, 0, 2, 2, 3, 2, 2, 4, 1, 4, 2, 0, 4, 2, 1, 0, 1, 1, 0, 3, 1, 4, 2, 1, 3, 0, 3, 1, 3, 0, 4, 3, 3, 2, 1, 2, 1, 0, 3, 1, 3, 4, 3, 3, 1, 2, 2, 0, 4, 2, 1, 2, 3, 4, 4, 3, 2, 0, 3, 0, 3, 1, 0, 1, 4, 3, 0, 3, 3, 3, 2, 1, 4, 3, 0, 1, 2, 2, 3, 4, 4, 1, 4, 0, 1, 4, 2, 2, 4, 0, 1, 0, 0, 0, 4, 2, 0, 1, 2, 0, 1, 2, 1, 2]
pubkeycol889 = [4, 3, 0, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 4, 4, 0, 4, 4, 1, 3, 3, 0, 3, 1, 3, 0, 3, 3, 4, 4, 0, 0, 3, 2, 1, 0, 4, 4, 3, 4, 0, 3, 4, 0, 2, 0, 3, 1, 3, 1, 0, 1, 3, 4, 1, 4, 2, 2, 4, 1, 1, 1, 0, 1, 3, 2, 2, 0, 1, 4, 2, 1, 4, 2, 3, 0, 0, 3, 2, 4, 1, 4, 0, 1, 4, 2, 3, 3, 4, 1, 0, 2, 0, 3, 0, 1, 4, 4, 2, 0, 3, 0, 1, 2, 4, 2, 3, 1, 1, 4, 2, 3, 0, 0, 0, 4, 2, 1, 1, 4, 3, 4, 3, 4, 4, 3, 1, 4, 4, 0, 3, 1, 4, 1, 1, 2, 3, 4, 0, 0, 1, 3, 2, 1, 0, 0, 2, 0, 0, 4, 3, 2, 4, 3, 1, 4, 4, 4, 3, 4, 4, 4, 3, 2, 1, 2, 1, 3, 2, 4, 0, 1, 1, 0, 1, 4, 1, 0, 2, 4, 3, 3, 4, 4, 2, 0, 4, 4, 2, 1, 1, 0, 4, 1, 2, 0, 4, 0, 3, 3, 3, 0, 2, 2, 2, 1, 3, 4, 1, 2, 1, 2, 3, 2, 0, 1, 2, 4, 2, 0, 2, 3, 0, 3, 3, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 4, 2, 2, 0, 2, 4, 4, 0, 4, 4, 0, 2, 1, 4, 1, 2, 0, 3, 2, 4, 2, 4, 2, 3, 4, 0, 1, 1, 3, 2, 2, 2, 2, 2, 1, 0, 0, 4, 2, 1, 3, 1, 4, 2, 1, 3, 1, 1, 3, 3, 1, 3, 3, 1, 2, 0, 4, 4, 2, 0, 2, 2, 4, 2, 2, 4, 4, 2, 3, 0, 4, 2, 4, 2, 2, 4, 2, 4, 0, 4, 0, 0, 0, 1, 0, 3, 2, 0, 4, 4, 2, 4, 4, 3, 4, 0, 0, 4, 2, 4, 3, 3, 4, 0, 1, 1, 2, 1, 3, 0, 3, 4, 0, 2, 2, 3, 1, 1, 4, 0, 4, 0, 2, 1, 0, 3, 4, 1, 4, 4, 3, 3, 3, 2, 4, 1, 1, 3, 0, 0, 3, 1, 1, 0, 4, 1, 1, 1, 0, 4, 1, 2, 1, 3, 4, 4, 4, 2, 2, 2, 1, 2, 1, 0, 2]
pubkeycol890 = [2, 0, 0, 4, 4, 3, 0, 2, 0, 3, 2, 4, 3, 1, 1, 2, 4, 3, 3, 0, 2, 0, 4, 3, 1, 0, 1, 0, 0, 3, 3, 0, 4, 4, 2, 0, 1, 2, 0, 4, 4, 3, 0, 4, 1, 2, 1, 1, 2, 1, 4, 3, 0, 0, 4, 4, 4, 4, 1, 0, 3, 2, 4, 3, 1, 3, 0, 3, 4, 2, 4, 1, 4, 2, 2, 0, 4, 3, 0, 4, 3, 4, 4, 0, 1, 2, 0, 4, 3, 0, 4, 2, 0, 2, 3, 4, 3, 0, 4, 1, 0, 0, 4, 0, 0, 0, 2, 0, 1, 4, 3, 0, 2, 0, 1, 3, 0, 0, 0, 4, 2, 2, 1, 4, 2, 2, 1, 0, 4, 1, 1, 3, 3, 3, 1, 4, 2, 1, 3, 0, 4, 3, 0, 0, 1, 1, 0, 1, 3, 2, 2, 2, 0, 2, 3, 2, 1, 2, 1, 4, 2, 2, 2, 2, 2, 3, 4, 0, 2, 4, 2, 2, 0, 3, 1, 1, 2, 3, 2, 1, 0, 1, 3, 1, 0, 4, 0, 3, 2, 0, 0, 1, 4, 2, 2, 2, 1, 2, 0, 3, 2, 3, 4, 0, 2, 0, 3, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 4, 0, 3, 3, 3, 0, 3, 4, 4, 2, 0, 2, 0, 4, 2, 2, 3, 3, 0, 3, 2, 1, 1, 2, 2, 1, 3, 3, 2, 3, 0, 1, 2, 0, 4, 0, 3, 3, 4, 1, 1, 0, 1, 0, 2, 1, 2, 4, 3, 3, 3, 0, 1, 0, 3, 2, 0, 3, 0, 2, 3, 2, 4, 1, 3, 0, 1, 2, 3, 2, 4, 4, 1, 0, 2, 4, 1, 0, 1, 0, 1, 1, 0, 3, 0, 1, 1, 1, 2, 4, 4, 4, 0, 3, 3, 3, 2, 4, 1, 0, 4, 0, 4, 3, 4, 4, 4, 0, 2, 1, 2, 4, 3, 0, 0, 3, 0, 2, 2, 1, 0, 0, 4, 2, 2, 4, 4, 0, 3, 4, 3, 0, 1, 2, 4, 3, 0, 1, 1, 3, 2, 0, 3, 1, 4, 4, 4, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 4, 2, 4, 2, 0, 0, 4, 2, 2, 0, 3, 3, 2, 2, 1, 4, 0, 3, 0, 4, 4, 4, 4, 4, 3]
pubkeycol891 = [1, 4, 2, 0, 2, 1, 1, 3, 2, 0, 0, 1, 3, 1, 4, 1, 2, 4, 1, 4, 1, 1, 4, 1, 4, 3, 3, 3, 4, 1, 1, 1, 1, 1, 0, 4, 1, 0, 1, 3, 1, 2, 3, 0, 3, 3, 0, 2, 4, 2, 4, 2, 0, 0, 2, 4, 4, 1, 0, 4, 1, 4, 4, 4, 0, 0, 0, 1, 2, 1, 3, 3, 1, 0, 3, 1, 1, 4, 2, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 4, 1, 1, 1, 2, 4, 3, 4, 1, 4, 3, 2, 2, 4, 0, 2, 3, 4, 3, 2, 4, 0, 2, 3, 2, 0, 0, 3, 4, 4, 3, 1, 0, 1, 0, 1, 2, 1, 4, 0, 4, 2, 4, 3, 0, 1, 4, 2, 3, 0, 4, 1, 4, 1, 1, 3, 2, 3, 1, 0, 4, 4, 0, 1, 3, 2, 0, 4, 3, 0, 3, 3, 0, 3, 3, 2, 0, 2, 2, 2, 1, 1, 1, 3, 0, 0, 4, 1, 3, 4, 2, 2, 3, 3, 0, 4, 2, 3, 2, 2, 4, 0, 2, 1, 0, 1, 2, 3, 3, 2, 1, 4, 2, 3, 1, 3, 2, 4, 3, 3, 4, 4, 4, 0, 2, 3, 1, 1, 1, 4, 0, 4, 2, 1, 4, 2, 1, 2, 1, 2, 1, 1, 0, 0, 4, 0, 0, 3, 3, 1, 1, 1, 4, 3, 0, 3, 2, 1, 4, 2, 1, 3, 3, 3, 2, 2, 2, 2, 3, 1, 4, 0, 3, 3, 1, 0, 4, 2, 2, 2, 0, 1, 0, 3, 4, 0, 4, 3, 1, 2, 2, 1, 0, 1, 3, 4, 0, 2, 1, 2, 0, 3, 0, 2, 3, 0, 0, 1, 3, 1, 3, 1, 1, 1, 3, 4, 2, 2, 1, 3, 3, 3, 3, 1, 0, 0, 1, 4, 3, 3, 1, 4, 2, 2, 0, 3, 0, 2, 1, 0, 3, 4, 2, 3, 4, 0, 0, 3, 1, 0, 0, 0, 1, 4, 3, 0, 4, 0, 1, 3, 3, 0, 4, 1, 2, 2, 3, 1, 1, 1, 4, 2, 4, 3, 2, 1, 0, 0, 3, 1, 0, 0, 3, 1, 1, 4, 4, 0, 2, 4, 1, 4, 3, 4, 0, 4, 3, 3, 1, 3, 1, 4, 0, 0, 2, 2, 3, 1, 3, 1, 4]
pubkeycol892 = [4, 0, 4, 4, 0, 0, 4, 2, 0, 0, 3, 1, 3, 2, 4, 4, 1, 4, 0, 3, 0, 3, 1, 0, 0, 1, 4, 4, 1, 4, 4, 4, 4, 2, 3, 2, 2, 3, 0, 4, 4, 0, 0, 4, 0, 2, 2, 4, 1, 3, 1, 2, 0, 0, 0, 0, 4, 4, 4, 0, 1, 3, 3, 3, 3, 3, 1, 0, 4, 3, 3, 1, 3, 0, 3, 2, 4, 2, 0, 0, 0, 4, 0, 3, 2, 1, 0, 2, 2, 3, 1, 4, 4, 1, 4, 0, 1, 3, 4, 4, 3, 4, 4, 4, 2, 2, 2, 3, 4, 1, 4, 4, 1, 1, 0, 2, 3, 1, 2, 0, 4, 4, 3, 3, 0, 0, 1, 0, 4, 3, 4, 4, 0, 1, 4, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 1, 4, 3, 4, 2, 2, 1, 3, 3, 3, 4, 2, 3, 2, 2, 2, 2, 0, 3, 0, 3, 1, 3, 1, 4, 4, 0, 1, 4, 2, 1, 1, 4, 2, 1, 2, 4, 4, 0, 0, 1, 3, 1, 4, 4, 0, 0, 3, 2, 2, 4, 3, 3, 4, 0, 4, 3, 4, 0, 4, 1, 0, 2, 3, 4, 2, 2, 1, 4, 3, 2, 1, 3, 2, 2, 3, 0, 0, 1, 2, 0, 0, 3, 4, 3, 0, 3, 2, 3, 4, 4, 2, 3, 1, 3, 3, 0, 0, 1, 0, 3, 0, 4, 2, 3, 2, 1, 0, 3, 0, 0, 1, 3, 3, 2, 3, 0, 3, 3, 1, 4, 4, 4, 4, 1, 4, 1, 3, 4, 3, 2, 4, 3, 2, 2, 3, 3, 2, 1, 4, 1, 0, 3, 4, 3, 0, 0, 0, 4, 2, 0, 0, 4, 0, 1, 3, 0, 1, 4, 1, 1, 3, 3, 4, 3, 2, 2, 0, 2, 1, 1, 2, 2, 2, 4, 2, 0, 3, 1, 2, 2, 1, 2, 3, 2, 0, 3, 4, 4, 4, 2, 2, 1, 2, 0, 4, 2, 4, 3, 2, 2, 3, 2, 0, 1, 2, 3, 0, 0, 1, 3, 1, 3, 4, 2, 2, 0, 2, 3, 4, 2, 0, 2, 4, 4, 0, 0, 4, 4, 2, 4, 1, 1, 0, 0, 3, 4, 0, 4, 4, 3, 0, 4, 3, 4, 0, 0, 0, 0, 0, 1, 4, 3, 3, 2]
pubkeycol893 = [2, 2, 4, 4, 4, 2, 2, 3, 1, 1, 3, 1, 0, 4, 3, 3, 3, 4, 3, 0, 3, 2, 4, 4, 1, 1, 2, 4, 1, 2, 2, 2, 1, 3, 0, 3, 4, 1, 0, 3, 2, 0, 1, 3, 0, 0, 1, 2, 1, 3, 0, 2, 1, 0, 1, 2, 4, 0, 0, 1, 0, 1, 4, 2, 2, 2, 2, 1, 4, 0, 1, 3, 4, 0, 0, 4, 1, 1, 4, 1, 2, 2, 1, 1, 2, 0, 1, 4, 0, 0, 0, 2, 4, 1, 1, 2, 1, 4, 4, 2, 3, 1, 4, 4, 0, 2, 2, 0, 4, 1, 4, 3, 4, 3, 1, 2, 4, 2, 1, 0, 4, 2, 1, 1, 0, 0, 2, 4, 4, 4, 2, 4, 2, 4, 4, 4, 2, 2, 4, 1, 0, 1, 3, 2, 4, 0, 2, 3, 0, 2, 2, 1, 4, 0, 0, 0, 4, 4, 4, 2, 2, 3, 2, 4, 1, 0, 4, 3, 0, 1, 0, 4, 2, 3, 1, 1, 4, 0, 0, 1, 0, 0, 3, 2, 2, 3, 1, 4, 1, 4, 0, 3, 1, 4, 2, 1, 4, 0, 0, 2, 1, 2, 3, 2, 0, 0, 3, 2, 2, 1, 4, 0, 3, 3, 4, 0, 0, 1, 0, 0, 3, 3, 0, 0, 2, 3, 4, 4, 4, 2, 2, 1, 4, 3, 3, 4, 4, 1, 0, 0, 0, 1, 1, 2, 4, 3, 2, 2, 1, 2, 0, 4, 0, 4, 0, 0, 3, 4, 2, 3, 0, 0, 3, 0, 3, 2, 2, 4, 4, 1, 3, 1, 2, 0, 4, 3, 2, 1, 0, 1, 4, 1, 0, 1, 0, 4, 3, 3, 0, 4, 0, 2, 3, 3, 3, 0, 0, 1, 4, 4, 1, 3, 0, 0, 4, 2, 2, 1, 1, 1, 4, 3, 4, 0, 3, 1, 3, 4, 2, 0, 4, 2, 1, 4, 0, 1, 3, 4, 2, 1, 1, 2, 1, 2, 1, 2, 4, 2, 2, 3, 4, 2, 3, 0, 1, 2, 4, 1, 0, 2, 1, 1, 0, 0, 1, 1, 3, 1, 1, 2, 0, 4, 0, 3, 0, 3, 4, 1, 0, 4, 3, 4, 1, 4, 3, 1, 1, 1, 1, 1, 4, 4, 1, 2, 0, 4, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 4, 4, 1, 4]
pubkeycol894 = [3, 3, 0, 3, 3, 1, 0, 2, 4, 4, 0, 1, 3, 3, 1, 0, 3, 3, 0, 3, 0, 0, 2, 2, 1, 3, 1, 4, 0, 0, 0, 0, 4, 4, 3, 4, 3, 3, 3, 1, 1, 0, 4, 1, 2, 1, 1, 4, 3, 0, 2, 3, 4, 2, 0, 0, 1, 4, 2, 4, 2, 3, 1, 2, 4, 3, 1, 3, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 4, 1, 4, 1, 3, 2, 2, 2, 1, 4, 0, 0, 3, 2, 0, 0, 3, 3, 2, 2, 0, 1, 2, 0, 1, 0, 4, 2, 0, 0, 2, 3, 2, 2, 4, 2, 3, 1, 4, 3, 1, 1, 2, 1, 2, 3, 4, 3, 2, 2, 1, 0, 2, 0, 3, 4, 3, 1, 1, 1, 3, 3, 4, 4, 1, 3, 1, 0, 0, 4, 4, 4, 0, 0, 3, 2, 2, 4, 2, 0, 3, 0, 1, 1, 1, 0, 3, 2, 2, 4, 3, 0, 0, 0, 1, 2, 3, 0, 3, 1, 4, 1, 4, 0, 3, 2, 3, 0, 3, 0, 0, 3, 0, 2, 1, 2, 2, 1, 2, 4, 4, 4, 0, 1, 2, 2, 0, 1, 4, 1, 3, 1, 4, 1, 1, 4, 4, 3, 3, 4, 2, 4, 2, 2, 2, 1, 4, 2, 0, 1, 0, 3, 1, 3, 0, 3, 0, 0, 1, 1, 1, 3, 2, 1, 1, 0, 0, 3, 3, 1, 2, 1, 0, 0, 1, 4, 3, 3, 1, 4, 2, 3, 3, 2, 0, 4, 0, 1, 2, 0, 4, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 0, 1, 0, 0, 0, 4, 1, 4, 3, 3, 4, 4, 3, 4, 0, 2, 0, 4, 0, 4, 0, 0, 1, 0, 0, 0, 2, 4, 0, 1, 1, 2, 1, 3, 4, 1, 0, 2, 1, 3, 0, 0, 1, 0, 3, 3, 0, 2, 2, 0, 1, 3, 1, 2, 1, 4, 2, 2, 2, 1, 2, 2, 0, 1, 3, 4, 1, 4, 1, 1, 3, 1, 4, 2, 0, 3, 4, 3, 2, 4, 2, 4, 0, 4, 1, 3, 1, 1, 2, 0, 4, 2, 4, 2, 3, 1, 4, 3, 2, 0, 2, 1, 1, 2, 3, 1, 4, 3, 1, 2, 3, 1, 2, 3, 4, 1, 0, 0, 1, 1, 2]
pubkeycol895 = [4, 2, 2, 1, 0, 3, 2, 4, 3, 1, 3, 2, 4, 0, 4, 1, 4, 2, 3, 0, 2, 3, 0, 4, 4, 3, 1, 0, 0, 1, 1, 0, 4, 0, 1, 3, 2, 2, 3, 1, 0, 2, 1, 3, 1, 1, 3, 0, 1, 0, 0, 2, 0, 0, 4, 1, 2, 1, 3, 3, 4, 0, 0, 1, 3, 1, 2, 1, 3, 3, 0, 4, 2, 2, 2, 0, 3, 1, 0, 1, 4, 4, 1, 3, 1, 4, 0, 2, 0, 2, 2, 3, 0, 3, 1, 3, 3, 4, 2, 2, 0, 2, 0, 1, 1, 4, 4, 3, 4, 1, 2, 0, 1, 2, 1, 3, 4, 4, 0, 0, 0, 4, 4, 4, 2, 0, 1, 1, 4, 1, 0, 2, 1, 4, 0, 1, 4, 4, 3, 2, 1, 2, 3, 4, 4, 2, 1, 4, 0, 4, 3, 3, 3, 1, 0, 1, 3, 4, 4, 0, 2, 4, 2, 2, 4, 3, 4, 2, 4, 1, 2, 4, 3, 4, 4, 1, 1, 1, 4, 3, 0, 1, 2, 0, 1, 2, 1, 4, 1, 0, 0, 3, 3, 2, 2, 4, 3, 1, 0, 3, 0, 2, 2, 2, 3, 2, 0, 1, 4, 2, 0, 4, 2, 2, 4, 2, 4, 2, 3, 4, 1, 2, 2, 1, 1, 4, 0, 4, 2, 2, 2, 1, 4, 4, 0, 2, 4, 3, 0, 4, 1, 4, 0, 1, 2, 0, 2, 1, 0, 0, 2, 4, 4, 0, 4, 3, 0, 0, 3, 4, 1, 2, 1, 0, 0, 4, 1, 1, 4, 4, 0, 4, 1, 2, 2, 2, 0, 3, 0, 2, 4, 1, 2, 2, 3, 1, 1, 2, 1, 3, 1, 1, 4, 0, 4, 3, 0, 4, 3, 4, 0, 1, 4, 0, 0, 1, 2, 3, 0, 2, 2, 4, 0, 2, 4, 2, 1, 0, 4, 1, 4, 4, 0, 4, 2, 4, 3, 2, 0, 1, 2, 2, 3, 2, 4, 4, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 4, 0, 3, 1, 0, 0, 2, 2, 0, 0, 3, 0, 4, 1, 4, 3, 4, 4, 3, 3, 0, 3, 0, 4, 2, 4, 1, 2, 0, 0, 0, 1, 2, 3, 0, 2, 4, 0, 3, 1, 2, 1, 4, 1, 1, 4, 0, 2, 0, 4, 1, 0]
pubkeycol896 = [3, 1, 2, 2, 4, 2, 1, 4, 1, 1, 4, 1, 2, 4, 0, 3, 4, 2, 3, 3, 3, 4, 1, 2, 0, 2, 1, 4, 3, 0, 4, 0, 0, 4, 2, 1, 4, 2, 4, 4, 3, 2, 0, 4, 1, 0, 2, 0, 2, 4, 0, 3, 0, 3, 3, 0, 4, 1, 1, 2, 3, 0, 0, 0, 3, 3, 4, 4, 1, 2, 4, 1, 4, 2, 3, 0, 4, 0, 4, 0, 4, 4, 0, 1, 3, 4, 3, 2, 1, 3, 2, 0, 4, 4, 1, 0, 3, 4, 3, 0, 2, 3, 0, 4, 0, 3, 1, 1, 4, 2, 2, 3, 2, 1, 3, 1, 4, 0, 0, 2, 4, 4, 4, 4, 0, 0, 0, 4, 2, 3, 3, 0, 4, 3, 3, 1, 1, 1, 4, 3, 4, 3, 2, 3, 4, 2, 0, 3, 0, 2, 2, 0, 1, 0, 3, 0, 4, 4, 4, 1, 3, 2, 4, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 4, 2, 2, 0, 4, 3, 4, 0, 3, 4, 4, 3, 4, 3, 0, 1, 4, 0, 1, 4, 4, 1, 2, 0, 4, 3, 2, 0, 2, 1, 4, 2, 1, 0, 3, 2, 0, 2, 4, 4, 2, 1, 0, 2, 0, 0, 2, 1, 0, 4, 2, 1, 0, 4, 3, 1, 3, 2, 0, 3, 1, 3, 4, 1, 0, 3, 0, 3, 3, 4, 1, 3, 0, 0, 4, 3, 4, 2, 0, 1, 1, 3, 4, 4, 1, 0, 1, 2, 4, 2, 1, 0, 0, 1, 4, 1, 1, 0, 3, 3, 2, 1, 1, 3, 0, 0, 0, 0, 0, 4, 1, 4, 1, 4, 0, 0, 3, 0, 4, 4, 4, 1, 0, 0, 4, 1, 0, 2, 0, 3, 1, 4, 1, 2, 1, 0, 1, 2, 0, 0, 1, 3, 2, 4, 0, 3, 1, 1, 4, 0, 3, 0, 0, 2, 0, 0, 4, 1, 3, 2, 4, 1, 1, 0, 0, 3, 2, 0, 1, 3, 2, 2, 0, 2, 2, 4, 0, 0, 4, 0, 4, 3, 4, 3, 3, 1, 1, 4, 1, 0, 0, 2, 1, 1, 0, 2, 1, 4, 1, 1, 3, 2, 3, 4, 1, 4, 4, 2, 3, 4, 1, 3, 2, 3, 0, 2, 2, 1, 4, 2, 4, 2, 4, 4]
pubkeycol897 = [3, 1, 2, 4, 1, 4, 3, 0, 2, 3, 1, 4, 1, 1, 4, 0, 3, 2, 0, 0, 4, 3, 3, 2, 0, 0, 3, 1, 2, 3, 3, 1, 2, 2, 1, 3, 1, 1, 4, 0, 2, 4, 1, 1, 4, 0, 2, 0, 2, 3, 2, 4, 0, 2, 2, 2, 3, 1, 4, 1, 0, 2, 4, 4, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 3, 4, 3, 4, 1, 4, 3, 4, 2, 4, 4, 4, 2, 4, 3, 0, 3, 1, 2, 3, 1, 2, 4, 0, 0, 2, 2, 0, 0, 2, 4, 3, 1, 4, 4, 1, 0, 0, 4, 3, 2, 4, 2, 1, 2, 0, 1, 4, 0, 1, 3, 0, 4, 1, 4, 1, 4, 2, 1, 0, 1, 4, 4, 0, 1, 1, 0, 3, 2, 1, 1, 2, 1, 2, 3, 3, 0, 4, 3, 2, 3, 2, 2, 4, 4, 4, 2, 0, 3, 1, 4, 2, 3, 4, 0, 1, 4, 3, 3, 2, 4, 1, 4, 1, 1, 3, 4, 2, 1, 4, 4, 4, 0, 0, 4, 2, 1, 3, 2, 2, 0, 1, 0, 2, 1, 3, 1, 2, 3, 2, 0, 1, 4, 1, 0, 2, 1, 3, 3, 4, 0, 3, 0, 1, 2, 1, 2, 2, 3, 0, 4, 0, 0, 3, 1, 0, 0, 3, 3, 2, 0, 4, 0, 1, 0, 1, 4, 2, 2, 4, 1, 3, 4, 4, 3, 4, 1, 2, 3, 3, 0, 1, 3, 0, 3, 4, 4, 3, 0, 0, 3, 0, 1, 0, 2, 3, 2, 3, 4, 4, 4, 3, 0, 0, 4, 3, 2, 0, 1, 4, 3, 4, 4, 0, 4, 0, 3, 1, 3, 1, 1, 1, 1, 4, 0, 2, 2, 1, 0, 4, 3, 0, 4, 1, 0, 3, 1, 0, 1, 2, 0, 2, 0, 2, 3, 3, 1, 0, 0, 3, 2, 4, 2, 4, 0, 3, 2, 0, 0, 4, 1, 0, 4, 2, 4, 3, 4, 4, 2, 0, 2, 4, 0, 3, 1, 2, 2, 2, 0, 2, 4, 4, 0, 0, 2, 3, 1, 4, 0, 1, 4, 0, 1, 2, 0, 3, 3, 3, 4, 4, 3, 1, 0, 2, 2, 4, 4, 1, 3, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 3, 3, 1, 3, 1]
pubkeycol898 = [2, 1, 4, 3, 0, 1, 0, 4, 2, 2, 2, 4, 3, 4, 1, 1, 2, 0, 1, 2, 4, 0, 3, 0, 4, 4, 2, 0, 2, 1, 4, 4, 2, 2, 1, 0, 4, 2, 2, 0, 4, 0, 0, 4, 4, 2, 3, 2, 2, 4, 2, 2, 1, 0, 1, 1, 0, 0, 2, 3, 1, 3, 2, 2, 0, 3, 1, 3, 3, 1, 0, 2, 3, 1, 1, 4, 2, 3, 3, 1, 0, 3, 4, 1, 4, 4, 4, 4, 3, 4, 3, 2, 0, 3, 0, 3, 4, 1, 3, 1, 2, 3, 1, 4, 4, 1, 1, 4, 0, 1, 3, 2, 3, 1, 2, 4, 4, 0, 3, 1, 2, 3, 2, 4, 0, 1, 2, 2, 1, 3, 0, 1, 1, 2, 3, 3, 0, 0, 0, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 4, 3, 1, 1, 1, 2, 0, 2, 1, 3, 4, 1, 0, 3, 4, 1, 4, 2, 2, 0, 0, 2, 3, 1, 3, 0, 1, 4, 3, 3, 3, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 0, 2, 2, 2, 3, 1, 1, 1, 0, 2, 4, 4, 3, 2, 3, 2, 1, 2, 3, 1, 2, 0, 3, 3, 3, 0, 2, 2, 2, 2, 3, 1, 1, 0, 1, 0, 0, 0, 0, 4, 0, 1, 3, 4, 4, 0, 4, 2, 3, 4, 1, 0, 2, 3, 4, 0, 1, 3, 4, 2, 2, 4, 3, 1, 1, 0, 1, 2, 2, 2, 3, 3, 4, 2, 0, 3, 1, 1, 3, 2, 3, 2, 0, 1, 3, 4, 1, 4, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 4, 3, 4, 1, 0, 2, 1, 1, 2, 2, 0, 3, 3, 2, 4, 2, 0, 0, 4, 2, 2, 3, 0, 0, 3, 2, 0, 2, 0, 4, 0, 2, 0, 3, 1, 2, 1, 2, 2, 3, 4, 1, 4, 4, 3, 0, 3, 2, 0, 0, 2, 2, 4, 2, 3, 4, 4, 2, 2, 0, 1, 2, 4, 4, 2, 0, 0, 4, 2, 1, 4, 3, 2, 2, 0, 2, 3, 3, 0, 2, 4, 4, 4, 2, 2, 4, 2, 3, 2, 1, 3, 2, 2, 1, 4, 4, 0, 3, 1, 1, 2, 2, 3, 1, 0, 4]
pubkeycol899 = [0, 2, 4, 3, 1, 0, 1, 1, 4, 2, 0, 1, 3, 0, 2, 3, 2, 2, 2, 0, 3, 0, 0, 0, 1, 4, 0, 1, 2, 1, 4, 4, 2, 2, 3, 2, 0, 4, 2, 0, 1, 1, 2, 2, 3, 1, 1, 2, 4, 0, 1, 2, 0, 3, 2, 4, 2, 2, 0, 4, 2, 4, 3, 4, 3, 4, 0, 3, 2, 4, 3, 1, 0, 1, 4, 2, 0, 2, 1, 1, 2, 2, 2, 4, 0, 2, 4, 0, 4, 0, 3, 2, 0, 3, 4, 1, 3, 1, 1, 1, 2, 3, 1, 3, 4, 2, 3, 1, 3, 0, 2, 0, 4, 4, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 1, 4, 0, 1, 3, 2, 2, 1, 0, 3, 2, 4, 1, 1, 0, 4, 1, 4, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 4, 4, 4, 3, 2, 2, 3, 1, 1, 2, 3, 2, 3, 1, 4, 4, 2, 4, 4, 2, 2, 4, 3, 0, 0, 4, 2, 4, 2, 4, 2, 4, 1, 3, 2, 0, 0, 3, 3, 2, 0, 2, 0, 1, 4, 3, 4, 4, 3, 3, 4, 1, 2, 3, 1, 0, 4, 3, 2, 1, 4, 1, 3, 0, 3, 4, 4, 0, 4, 2, 4, 2, 4, 1, 4, 2, 3, 3, 1, 3, 0, 4, 0, 4, 2, 3, 3, 1, 3, 4, 4, 4, 2, 4, 0, 3, 3, 3, 2, 0, 0, 1, 4, 1, 2, 1, 3, 3, 0, 4, 3, 4, 1, 4, 1, 2, 4, 0, 1, 1, 2, 0, 1, 2, 4, 4, 3, 4, 2, 0, 4, 2, 1, 1, 1, 3, 1, 2, 2, 4, 2, 2, 0, 1, 3, 0, 3, 3, 0, 3, 2, 3, 4, 0, 0, 1, 1, 3, 2, 3, 4, 3, 1, 1, 0, 1, 4, 3, 2, 2, 0, 4, 0, 0, 4, 4, 0, 3, 4, 1, 1, 3, 2, 4, 0, 0, 3, 4, 4, 3, 4, 2, 2, 0, 3, 0, 4, 4, 0, 2, 1, 1, 4, 2, 0, 1, 3, 4, 2, 1, 3, 4, 4, 3, 2, 1, 0, 4, 4, 0, 3, 3, 3, 1, 0, 0, 3, 4, 2, 4, 4, 1, 1, 0, 2, 3, 4, 1, 3, 4, 1, 0, 3, 2, 1, 3]
pubkeycol900 = [1, 0, 0, 0, 4, 0, 1, 2, 1, 1, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 4, 1, 0, 2, 3, 0, 3, 3, 0, 0, 1, 4, 2, 2, 4, 1, 4, 4, 4, 2, 1, 4, 1, 2, 0, 3, 4, 3, 3, 3, 1, 3, 1, 0, 0, 4, 3, 4, 0, 2, 3, 3, 4, 4, 4, 3, 0, 2, 4, 0, 1, 4, 4, 3, 4, 4, 3, 4, 1, 1, 3, 0, 4, 4, 2, 0, 1, 2, 0, 0, 0, 3, 4, 4, 4, 4, 3, 1, 2, 4, 2, 1, 1, 3, 2, 3, 2, 1, 3, 2, 0, 1, 3, 2, 0, 4, 0, 2, 0, 2, 1, 1, 3, 1, 3, 4, 4, 3, 1, 4, 4, 0, 3, 1, 4, 0, 1, 4, 3, 3, 0, 2, 1, 2, 0, 3, 2, 1, 4, 4, 3, 3, 2, 3, 2, 4, 0, 0, 4, 1, 2, 2, 3, 0, 4, 0, 2, 4, 1, 1, 4, 2, 2, 2, 3, 4, 4, 2, 2, 1, 0, 2, 4, 0, 4, 3, 3, 4, 3, 1, 4, 1, 0, 3, 3, 4, 2, 3, 1, 0, 0, 0, 0, 2, 2, 3, 0, 3, 3, 4, 1, 0, 3, 0, 1, 4, 3, 2, 2, 2, 4, 2, 0, 1, 1, 3, 4, 1, 0, 1, 4, 1, 0, 2, 4, 1, 0, 1, 3, 4, 4, 3, 1, 3, 2, 0, 0, 4, 4, 0, 2, 3, 1, 4, 4, 4, 3, 1, 1, 4, 3, 2, 2, 0, 1, 1, 2, 4, 1, 3, 2, 2, 1, 4, 4, 4, 0, 4, 1, 4, 0, 2, 4, 2, 1, 0, 1, 3, 4, 4, 0, 0, 2, 3, 4, 1, 0, 2, 3, 1, 2, 1, 0, 2, 4, 2, 4, 4, 0, 4, 1, 2, 4, 2, 4, 0, 2, 4, 2, 3, 3, 2, 2, 1, 4, 1, 4, 3, 1, 2, 1, 1, 1, 1, 4, 1, 0, 2, 4, 2, 3, 4, 4, 1, 0, 4, 2, 0, 0, 0, 0, 2, 3, 0, 1, 0, 4, 4, 2, 4, 1, 3, 0, 2, 2, 2, 1, 2, 0, 0, 4, 3, 3, 2, 2, 2, 0, 2, 4, 0, 3, 4, 2, 4, 3, 3, 0]
pubkeycol901 = [3, 0, 2, 1, 0, 2, 4, 4, 3, 2, 1, 2, 2, 0, 1, 1, 4, 2, 4, 2, 4, 3, 1, 4, 4, 4, 3, 2, 2, 0, 1, 4, 3, 3, 0, 4, 0, 1, 4, 0, 4, 0, 3, 1, 2, 2, 4, 2, 0, 4, 0, 1, 1, 0, 4, 0, 3, 1, 1, 4, 2, 0, 2, 2, 2, 0, 0, 3, 3, 1, 2, 4, 1, 1, 2, 2, 3, 3, 1, 3, 3, 3, 3, 2, 0, 2, 2, 4, 1, 3, 4, 0, 2, 2, 4, 0, 3, 4, 3, 3, 2, 3, 3, 4, 3, 0, 3, 2, 2, 3, 4, 1, 1, 2, 1, 1, 4, 1, 3, 0, 0, 1, 0, 1, 3, 0, 4, 4, 4, 0, 3, 1, 2, 3, 3, 4, 1, 4, 0, 4, 1, 1, 2, 2, 1, 0, 4, 3, 2, 3, 0, 2, 2, 2, 1, 0, 2, 1, 3, 3, 4, 3, 3, 3, 0, 3, 2, 0, 1, 4, 4, 3, 3, 2, 2, 4, 4, 3, 2, 1, 3, 4, 0, 4, 4, 4, 1, 1, 1, 3, 2, 4, 1, 1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 4, 3, 3, 0, 1, 4, 3, 0, 4, 1, 1, 3, 2, 4, 1, 3, 4, 0, 1, 1, 3, 4, 4, 1, 1, 4, 1, 1, 0, 3, 4, 4, 2, 4, 1, 3, 1, 4, 3, 3, 3, 4, 4, 2, 3, 4, 4, 4, 4, 3, 3, 3, 0, 1, 0, 1, 3, 0, 2, 4, 2, 3, 2, 1, 2, 4, 3, 0, 3, 4, 1, 2, 3, 3, 1, 0, 0, 3, 4, 1, 4, 3, 0, 1, 3, 4, 3, 3, 0, 0, 4, 3, 2, 3, 2, 1, 2, 1, 0, 2, 4, 1, 4, 1, 3, 2, 4, 1, 0, 1, 0, 1, 0, 2, 4, 2, 2, 2, 0, 3, 2, 1, 0, 1, 1, 4, 3, 0, 0, 0, 4, 2, 4, 4, 0, 2, 4, 3, 3, 4, 1, 4, 0, 0, 2, 0, 1, 2, 1, 3, 4, 2, 4, 0, 1, 4, 0, 3, 3, 4, 2, 4, 1, 1, 4, 4, 0, 2, 1, 1, 3, 2, 1, 0, 3, 0, 0, 2, 3, 3, 2, 1, 3, 4, 0, 1, 1, 1, 1, 2, 1, 1, 0, 4, 2, 3]
pubkeycol902 = [3, 3, 1, 1, 1, 1, 4, 3, 3, 3, 2, 1, 3, 1, 2, 2, 3, 0, 4, 3, 4, 3, 4, 1, 4, 0, 1, 4, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 2, 0, 1, 0, 4, 2, 2, 0, 1, 3, 3, 0, 0, 0, 4, 0, 2, 4, 0, 2, 3, 3, 3, 3, 2, 4, 3, 4, 2, 2, 0, 4, 0, 1, 0, 3, 0, 4, 0, 2, 3, 1, 0, 3, 4, 3, 4, 2, 0, 4, 1, 0, 1, 0, 0, 3, 0, 2, 2, 4, 4, 1, 1, 4, 3, 1, 2, 0, 0, 0, 0, 4, 4, 2, 4, 1, 2, 2, 3, 3, 1, 2, 0, 4, 0, 0, 1, 4, 2, 3, 0, 0, 3, 0, 2, 2, 3, 2, 3, 2, 0, 2, 4, 2, 4, 0, 3, 2, 1, 2, 3, 3, 2, 0, 3, 1, 1, 1, 2, 4, 3, 0, 4, 2, 0, 4, 2, 0, 0, 4, 4, 1, 4, 4, 0, 4, 1, 4, 4, 4, 3, 3, 4, 1, 0, 3, 0, 1, 0, 4, 3, 0, 4, 1, 1, 2, 1, 3, 1, 2, 3, 4, 1, 1, 3, 1, 4, 1, 2, 0, 1, 3, 2, 2, 3, 3, 1, 1, 0, 0, 0, 3, 2, 2, 4, 3, 2, 1, 1, 2, 1, 4, 4, 1, 3, 3, 1, 1, 2, 4, 1, 2, 4, 0, 3, 2, 2, 4, 4, 1, 3, 1, 3, 0, 3, 3, 0, 1, 3, 2, 3, 0, 3, 3, 2, 0, 0, 0, 4, 3, 3, 0, 3, 0, 2, 1, 2, 1, 1, 3, 1, 4, 2, 2, 3, 2, 1, 1, 3, 3, 2, 1, 1, 3, 4, 3, 1, 2, 3, 3, 4, 2, 0, 2, 4, 3, 2, 3, 3, 3, 2, 1, 0, 1, 2, 1, 2, 1, 3, 2, 1, 2, 0, 0, 1, 3, 1, 3, 0, 0, 2, 0, 4, 1, 1, 0, 3, 0, 1, 4, 2, 1, 0, 1, 4, 2, 3, 3, 1, 3, 0, 2, 4, 3, 0, 1, 3, 2, 0, 1, 3, 1, 3, 4, 1, 4, 3, 2, 1, 3, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 3, 4, 0, 0, 2, 1, 3, 2, 3, 4, 1, 1, 4, 3, 0, 0, 1, 0]
pubkeycol903 = [0, 0, 2, 2, 4, 1, 4, 2, 1, 2, 1, 0, 0, 2, 1, 1, 3, 3, 0, 1, 0, 3, 1, 1, 3, 0, 3, 2, 2, 2, 3, 1, 3, 2, 4, 3, 2, 3, 0, 2, 3, 0, 0, 0, 3, 0, 4, 4, 2, 0, 2, 1, 4, 0, 4, 1, 3, 4, 2, 3, 3, 3, 3, 0, 3, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 1, 0, 3, 2, 4, 3, 0, 2, 4, 2, 3, 3, 3, 0, 2, 4, 1, 3, 3, 1, 0, 1, 3, 3, 0, 2, 1, 0, 3, 2, 0, 3, 4, 4, 3, 4, 0, 1, 2, 3, 4, 4, 1, 2, 4, 1, 0, 3, 3, 1, 1, 4, 2, 1, 2, 4, 0, 4, 3, 1, 3, 4, 1, 4, 2, 3, 3, 2, 3, 3, 2, 4, 4, 4, 1, 1, 1, 0, 3, 0, 4, 3, 3, 4, 2, 1, 0, 1, 0, 0, 3, 4, 1, 3, 4, 2, 4, 2, 1, 2, 4, 3, 4, 1, 0, 1, 3, 4, 1, 1, 4, 2, 0, 2, 1, 4, 0, 3, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 4, 1, 3, 4, 3, 0, 3, 1, 3, 4, 0, 1, 1, 3, 3, 4, 2, 0, 2, 3, 1, 4, 1, 4, 2, 0, 2, 1, 1, 2, 3, 0, 0, 2, 0, 3, 3, 3, 1, 2, 0, 3, 2, 2, 4, 3, 4, 2, 0, 4, 1, 2, 4, 2, 4, 0, 2, 1, 4, 4, 3, 3, 0, 1, 4, 3, 4, 3, 3, 1, 2, 4, 1, 4, 4, 2, 4, 0, 1, 1, 3, 2, 1, 1, 4, 3, 0, 4, 2, 1, 3, 0, 1, 1, 3, 1, 3, 4, 0, 0, 1, 1, 1, 3, 2, 0, 0, 3, 2, 2, 3, 4, 3, 0, 3, 3, 1, 0, 4, 0, 2, 1, 2, 3, 3, 4, 1, 3, 2, 3, 1, 4, 2, 1, 4, 0, 4, 1, 4, 2, 4, 1, 2, 4, 1, 2, 4, 4, 3, 2, 0, 0, 1, 0, 4, 1, 1, 0, 0, 4, 4, 0, 0, 0, 4, 0, 2, 3, 2, 2, 4, 3, 3, 1, 4, 3, 2, 1, 2, 4, 4, 2, 0, 3, 3, 0, 1, 4, 0, 2]
pubkeycol904 = [1, 2, 4, 4, 4, 3, 1, 4, 1, 0, 4, 3, 3, 3, 4, 2, 1, 1, 1, 4, 0, 2, 4, 4, 1, 4, 1, 0, 3, 4, 0, 1, 2, 3, 1, 3, 3, 0, 4, 0, 4, 0, 3, 1, 2, 4, 0, 3, 2, 4, 4, 3, 1, 2, 0, 4, 3, 4, 0, 3, 0, 0, 2, 1, 3, 2, 0, 1, 1, 3, 3, 0, 1, 4, 4, 4, 4, 4, 1, 4, 0, 4, 4, 1, 1, 3, 1, 1, 3, 2, 0, 1, 1, 4, 3, 1, 2, 2, 4, 3, 3, 1, 3, 2, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 3, 2, 0, 0, 4, 1, 2, 0, 1, 0, 0, 2, 4, 2, 4, 0, 0, 2, 4, 2, 3, 4, 4, 4, 0, 2, 1, 3, 4, 4, 0, 1, 1, 0, 2, 0, 0, 3, 3, 3, 4, 1, 3, 2, 4, 1, 1, 1, 3, 1, 2, 4, 2, 0, 4, 1, 3, 0, 3, 2, 4, 4, 4, 1, 1, 2, 1, 1, 2, 1, 3, 0, 3, 2, 1, 2, 0, 3, 0, 4, 1, 0, 0, 4, 4, 1, 1, 2, 0, 0, 0, 2, 3, 2, 1, 4, 2, 4, 0, 0, 4, 3, 1, 2, 3, 1, 4, 1, 1, 3, 3, 2, 3, 0, 3, 1, 1, 4, 2, 2, 1, 0, 4, 0, 4, 3, 3, 4, 4, 2, 0, 4, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 3, 0, 0, 2, 4, 2, 3, 3, 1, 3, 4, 2, 2, 0, 4, 2, 0, 1, 3, 4, 2, 2, 2, 1, 4, 2, 3, 2, 1, 4, 3, 1, 3, 4, 3, 0, 4, 3, 0, 2, 1, 2, 1, 3, 0, 1, 1, 2, 2, 2, 1, 1, 2, 4, 1, 1, 4, 1, 0, 4, 4, 1, 3, 2, 2, 1, 3, 4, 2, 0, 3, 3, 2, 1, 4, 0, 4, 1, 1, 1, 2, 3, 0, 0, 4, 1, 1, 2, 3, 1, 3, 4, 3, 0, 0, 4, 4, 3, 1, 4, 2, 0, 0, 2, 2, 3, 2, 4, 4, 3, 0, 0, 1, 0, 2, 3, 4, 4, 0, 0, 1, 1, 0, 4, 4, 3, 2, 0, 3, 2, 0, 3, 2, 2, 1]
pubkeycol905 = [4, 1, 4, 1, 2, 4, 3, 3, 3, 1, 2, 1, 2, 0, 3, 2, 3, 1, 4, 1, 1, 1, 1, 3, 1, 1, 4, 4, 2, 2, 4, 3, 4, 4, 1, 3, 0, 3, 4, 1, 4, 2, 3, 4, 3, 4, 1, 2, 3, 4, 4, 2, 0, 0, 2, 0, 0, 2, 1, 2, 3, 3, 4, 3, 2, 2, 2, 3, 4, 0, 2, 3, 3, 1, 3, 3, 4, 0, 1, 2, 0, 3, 3, 1, 0, 0, 0, 1, 3, 4, 3, 1, 4, 3, 1, 0, 2, 1, 3, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 3, 0, 4, 1, 0, 2, 4, 3, 2, 1, 4, 4, 4, 1, 4, 1, 2, 4, 0, 0, 3, 3, 4, 1, 3, 0, 0, 2, 2, 4, 2, 0, 4, 2, 3, 1, 2, 0, 1, 3, 1, 0, 3, 3, 0, 4, 2, 0, 2, 3, 1, 4, 1, 2, 3, 3, 0, 4, 0, 4, 2, 0, 3, 0, 1, 1, 2, 4, 2, 1, 3, 0, 2, 1, 0, 2, 4, 2, 0, 3, 3, 4, 0, 1, 2, 0, 3, 1, 4, 1, 2, 4, 0, 0, 4, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 4, 0, 1, 3, 0, 1, 3, 0, 0, 2, 0, 0, 1, 2, 4, 0, 0, 0, 2, 4, 2, 4, 4, 1, 3, 1, 0, 4, 0, 4, 0, 3, 0, 1, 4, 2, 2, 1, 0, 0, 2, 2, 1, 3, 1, 2, 1, 2, 0, 2, 4, 1, 0, 0, 0, 1, 0, 3, 0, 4, 1, 3, 0, 2, 3, 1, 3, 0, 2, 2, 2, 1, 4, 2, 1, 0, 4, 1, 2, 1, 4, 3, 4, 0, 0, 1, 2, 2, 3, 0, 4, 3, 0, 3, 4, 1, 2, 2, 3, 3, 1, 3, 3, 0, 4, 3, 0, 0, 3, 1, 1, 1, 2, 3, 3, 1, 2, 2, 4, 2, 2, 0, 2, 2, 3, 3, 4, 3, 2, 4, 3, 2, 0, 3, 1, 3, 4, 3, 0, 4, 2, 3, 0, 1, 0, 0, 1, 3, 0, 0, 2, 3, 1, 2, 1, 2, 4, 1, 2, 0, 4, 2, 0, 3, 4, 1, 2, 1, 4, 4, 2, 4, 4, 3, 1, 4, 3, 4, 0, 3, 2, 1, 0, 2, 1, 0]
pubkeycol906 = [1, 4, 0, 2, 4, 2, 3, 2, 3, 0, 0, 4, 3, 1, 1, 4, 2, 1, 3, 2, 1, 0, 2, 2, 3, 2, 2, 3, 3, 3, 0, 2, 3, 4, 4, 2, 2, 4, 4, 4, 1, 3, 1, 3, 4, 1, 0, 4, 3, 4, 3, 1, 2, 3, 4, 4, 0, 2, 1, 3, 0, 2, 4, 0, 1, 2, 2, 4, 1, 2, 1, 3, 4, 0, 0, 0, 0, 1, 2, 4, 2, 4, 3, 3, 4, 0, 3, 0, 3, 4, 1, 2, 3, 4, 0, 2, 4, 2, 0, 1, 2, 4, 1, 3, 4, 2, 2, 3, 4, 0, 4, 2, 4, 3, 3, 3, 1, 2, 4, 1, 1, 0, 2, 2, 0, 4, 1, 2, 1, 2, 2, 3, 3, 0, 1, 2, 1, 4, 2, 4, 0, 4, 3, 1, 4, 2, 4, 4, 4, 1, 0, 4, 1, 3, 3, 0, 2, 2, 4, 4, 1, 4, 0, 3, 4, 1, 3, 1, 2, 2, 2, 1, 2, 1, 1, 0, 3, 2, 3, 2, 4, 2, 0, 4, 0, 2, 1, 0, 3, 3, 0, 2, 2, 4, 2, 1, 4, 0, 3, 4, 1, 4, 1, 1, 0, 4, 4, 4, 0, 3, 0, 1, 4, 3, 1, 0, 4, 4, 3, 2, 1, 0, 4, 2, 0, 4, 0, 4, 3, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 4, 1, 1, 1, 4, 2, 0, 3, 2, 3, 1, 1, 0, 3, 1, 3, 0, 1, 1, 4, 3, 2, 1, 1, 0, 4, 4, 2, 2, 4, 0, 1, 0, 1, 0, 0, 4, 0, 4, 0, 2, 4, 3, 3, 3, 3, 3, 2, 4, 1, 3, 1, 2, 1, 2, 1, 3, 0, 2, 2, 4, 3, 0, 1, 2, 4, 1, 0, 0, 0, 4, 2, 1, 0, 4, 4, 4, 0, 3, 4, 1, 1, 3, 2, 4, 0, 4, 1, 1, 1, 0, 4, 3, 0, 3, 0, 1, 1, 1, 2, 4, 2, 1, 4, 1, 1, 2, 0, 4, 4, 1, 3, 0, 1, 2, 0, 4, 1, 2, 0, 1, 4, 4, 0, 4, 1, 4, 1, 4, 1, 2, 2, 4, 3, 1, 0, 4, 4, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 3, 2, 0, 2, 3, 1, 4, 1]
pubkeycol907 = [0, 1, 1, 1, 3, 1, 2, 1, 3, 1, 2, 0, 2, 2, 3, 2, 0, 3, 4, 4, 4, 4, 0, 0, 1, 1, 4, 0, 0, 0, 1, 1, 1, 3, 4, 0, 4, 2, 2, 1, 3, 0, 3, 2, 3, 0, 4, 4, 1, 0, 2, 2, 0, 0, 3, 4, 0, 4, 4, 4, 2, 2, 0, 2, 2, 1, 3, 3, 2, 2, 0, 1, 4, 3, 1, 4, 4, 3, 2, 3, 2, 0, 3, 1, 3, 0, 1, 0, 2, 4, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 3, 0, 4, 0, 0, 4, 1, 0, 2, 0, 4, 4, 2, 3, 1, 0, 1, 1, 4, 2, 4, 2, 1, 3, 2, 4, 3, 2, 0, 3, 1, 0, 2, 0, 1, 1, 3, 1, 0, 4, 2, 0, 0, 4, 2, 1, 2, 2, 0, 0, 1, 0, 3, 1, 3, 4, 0, 0, 2, 3, 3, 2, 4, 0, 1, 2, 4, 2, 1, 0, 3, 0, 4, 3, 1, 4, 1, 0, 4, 2, 1, 1, 0, 4, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 2, 4, 1, 3, 4, 2, 3, 1, 4, 0, 0, 4, 3, 3, 4, 0, 2, 4, 1, 4, 0, 0, 3, 4, 2, 3, 0, 4, 0, 1, 2, 2, 0, 4, 1, 1, 2, 4, 0, 4, 1, 3, 0, 1, 1, 2, 4, 2, 2, 1, 3, 4, 2, 3, 2, 2, 2, 3, 4, 0, 0, 4, 0, 2, 2, 3, 3, 3, 1, 0, 2, 2, 0, 3, 3, 2, 3, 2, 1, 4, 1, 1, 2, 0, 2, 4, 1, 0, 4, 0, 0, 0, 0, 2, 4, 3, 4, 1, 2, 3, 3, 0, 4, 4, 4, 0, 2, 2, 0, 3, 1, 1, 3, 4, 1, 3, 2, 1, 1, 1, 0, 1, 3, 3, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 4, 1, 3, 3, 4, 4, 0, 4, 2, 4, 1, 2, 2, 1, 3, 2, 1, 2, 1, 1, 1, 4, 2, 3, 0, 2, 0, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 0, 3, 2, 4, 0, 2, 1, 4, 2, 2, 3, 4, 3, 3, 1, 3, 3, 2, 4, 1, 2, 4, 1, 4, 0, 3, 3]
pubkeycol908 = [0, 3, 3, 2, 4, 1, 2, 3, 0, 2, 2, 4, 2, 0, 3, 4, 3, 3, 4, 1, 1, 0, 1, 0, 1, 4, 4, 3, 1, 1, 4, 4, 2, 0, 1, 1, 2, 1, 4, 2, 3, 4, 0, 1, 2, 2, 0, 4, 0, 1, 1, 0, 2, 1, 3, 1, 4, 2, 0, 3, 3, 1, 3, 0, 1, 4, 1, 0, 0, 2, 1, 4, 1, 3, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 3, 2, 4, 2, 4, 1, 0, 0, 1, 4, 2, 3, 0, 2, 4, 3, 1, 4, 4, 3, 4, 1, 0, 3, 2, 3, 3, 3, 0, 2, 1, 1, 4, 3, 4, 0, 1, 1, 0, 3, 3, 0, 1, 3, 0, 4, 2, 2, 2, 4, 2, 4, 1, 1, 0, 4, 4, 2, 2, 1, 2, 3, 2, 4, 1, 4, 0, 1, 1, 4, 2, 0, 4, 0, 2, 0, 2, 2, 4, 2, 1, 1, 2, 0, 3, 1, 3, 0, 3, 2, 4, 2, 0, 4, 1, 1, 0, 0, 2, 3, 2, 1, 2, 1, 4, 2, 4, 1, 3, 0, 3, 0, 1, 2, 2, 4, 4, 0, 4, 4, 2, 4, 0, 4, 4, 0, 4, 0, 3, 4, 2, 1, 3, 0, 3, 0, 1, 0, 2, 4, 4, 3, 4, 0, 3, 2, 1, 0, 1, 2, 1, 3, 4, 0, 1, 1, 2, 4, 3, 1, 0, 0, 0, 0, 4, 1, 2, 1, 3, 0, 2, 2, 0, 0, 3, 3, 0, 4, 0, 4, 4, 4, 4, 0, 3, 2, 3, 4, 1, 2, 4, 2, 3, 4, 1, 3, 2, 1, 1, 3, 4, 2, 4, 1, 3, 0, 0, 0, 1, 4, 0, 3, 0, 3, 0, 3, 4, 4, 3, 3, 4, 3, 2, 0, 2, 0, 3, 4, 1, 4, 0, 4, 1, 0, 0, 3, 0, 3, 2, 3, 2, 4, 4, 1, 3, 2, 1, 2, 2, 4, 4, 2, 0, 0, 3, 1, 0, 2, 1, 2, 3, 4, 2, 1, 3, 4, 3, 1, 2, 0, 3, 3, 0, 2, 3, 1, 3, 4, 4, 2, 4, 2, 1, 0, 3, 3, 2, 2, 2, 3, 1, 4, 0, 1, 1, 4, 4, 1, 2, 4, 2, 3, 1, 1, 1, 3, 0, 0, 4, 1, 4, 0, 3, 0, 1, 1]
pubkeycol909 = [0, 2, 2, 1, 4, 0, 1, 1, 1, 2, 0, 4, 4, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 3, 1, 0, 0, 1, 2, 1, 2, 1, 0, 4, 3, 0, 0, 0, 3, 1, 0, 1, 0, 4, 0, 3, 4, 0, 4, 1, 0, 2, 2, 0, 3, 4, 1, 2, 3, 0, 3, 0, 4, 0, 2, 3, 1, 1, 4, 3, 0, 3, 2, 4, 0, 3, 1, 2, 2, 4, 4, 0, 0, 0, 3, 0, 1, 1, 1, 1, 0, 3, 1, 4, 4, 2, 0, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 4, 1, 1, 1, 0, 3, 0, 1, 1, 3, 4, 0, 0, 1, 4, 4, 2, 1, 2, 4, 4, 4, 3, 0, 4, 0, 3, 2, 1, 4, 2, 2, 2, 1, 4, 2, 0, 0, 4, 3, 3, 3, 2, 4, 4, 0, 4, 0, 4, 3, 4, 4, 1, 0, 1, 4, 3, 3, 3, 0, 0, 2, 1, 2, 2, 1, 3, 3, 4, 3, 1, 2, 1, 2, 0, 4, 2, 0, 0, 4, 1, 4, 0, 3, 4, 4, 2, 1, 2, 1, 2, 2, 4, 1, 0, 3, 1, 0, 1, 0, 0, 2, 0, 4, 3, 4, 3, 2, 3, 1, 1, 3, 0, 2, 0, 4, 4, 0, 4, 0, 4, 2, 2, 2, 0, 4, 2, 1, 4, 2, 1, 0, 3, 2, 0, 2, 1, 0, 4, 4, 0, 1, 2, 0, 0, 4, 1, 1, 3, 3, 1, 0, 3, 3, 3, 0, 2, 4, 0, 2, 0, 2, 3, 4, 0, 3, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 3, 1, 1, 3, 3, 1, 2, 1, 1, 4, 1, 2, 0, 1, 4, 2, 2, 0, 3, 4, 3, 3, 3, 4, 1, 0, 2, 3, 2, 4, 4, 1, 0, 2, 2, 3, 3, 4, 3, 3, 0, 4, 1, 0, 4, 0, 3, 2, 0, 3, 4, 2, 0, 4, 4, 4, 3, 0, 2, 2, 0, 1, 1, 4, 0, 3, 0, 2, 1, 4, 0, 3, 3, 3, 2, 3, 2, 3, 0, 4, 3, 2, 0, 3, 3, 0, 4, 0, 2, 1, 2, 2, 0, 1, 3, 0, 0, 0, 2, 4, 4, 0, 4, 2, 4, 4, 0, 4, 2, 3, 2, 3, 0, 1, 4]
pubkeycol910 = [2, 3, 4, 1, 0, 4, 3, 1, 3, 1, 2, 4, 3, 1, 1, 3, 0, 4, 1, 1, 1, 0, 0, 3, 3, 1, 2, 3, 3, 1, 0, 2, 2, 1, 1, 2, 2, 3, 0, 2, 2, 2, 2, 4, 4, 4, 3, 4, 0, 2, 3, 4, 3, 2, 3, 4, 0, 1, 0, 2, 1, 0, 2, 3, 1, 0, 4, 3, 2, 4, 0, 0, 0, 3, 3, 3, 0, 2, 3, 4, 3, 3, 0, 0, 4, 4, 0, 4, 3, 2, 0, 3, 4, 3, 3, 2, 4, 1, 3, 4, 0, 1, 4, 2, 0, 3, 4, 2, 3, 0, 0, 2, 4, 4, 2, 0, 2, 1, 4, 1, 2, 1, 4, 4, 1, 2, 3, 3, 2, 3, 4, 4, 4, 2, 2, 2, 2, 4, 3, 4, 1, 3, 2, 2, 0, 0, 1, 1, 0, 3, 4, 1, 2, 3, 1, 1, 0, 1, 4, 3, 4, 0, 4, 3, 4, 1, 4, 1, 0, 2, 4, 1, 0, 4, 3, 4, 2, 1, 2, 3, 2, 1, 1, 4, 3, 2, 2, 3, 3, 3, 3, 0, 4, 1, 1, 4, 3, 2, 1, 2, 2, 2, 3, 2, 4, 0, 1, 0, 3, 0, 1, 3, 4, 2, 2, 1, 4, 3, 0, 0, 4, 3, 4, 4, 4, 2, 0, 3, 2, 2, 2, 0, 4, 4, 0, 0, 2, 4, 0, 1, 0, 3, 3, 2, 1, 4, 3, 3, 0, 3, 2, 4, 1, 4, 2, 2, 2, 0, 2, 0, 3, 2, 3, 1, 0, 3, 2, 4, 1, 2, 4, 2, 3, 3, 1, 0, 4, 4, 0, 3, 0, 3, 0, 4, 4, 0, 1, 3, 1, 2, 1, 0, 2, 3, 4, 0, 3, 1, 0, 1, 2, 0, 3, 0, 3, 3, 4, 2, 1, 3, 3, 3, 1, 1, 2, 0, 2, 2, 2, 3, 0, 3, 0, 0, 3, 1, 4, 0, 0, 0, 0, 3, 4, 4, 0, 4, 1, 2, 1, 0, 3, 0, 4, 3, 4, 0, 2, 1, 1, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 1, 2, 1, 1, 0, 4, 0, 3, 3, 0, 4, 1, 0, 0, 2, 0, 1, 4, 0, 2, 2, 0, 2, 1, 4, 4, 2, 1, 0, 4, 2, 4, 0, 3, 2, 3, 4, 0, 1, 2, 0]
pubkeycol911 = [0, 3, 1, 1, 0, 2, 0, 1, 4, 4, 0, 0, 2, 3, 2, 3, 3, 4, 4, 4, 1, 0, 3, 1, 1, 3, 4, 3, 1, 1, 2, 2, 4, 1, 0, 3, 0, 4, 4, 1, 3, 3, 1, 0, 0, 1, 1, 4, 1, 0, 2, 1, 1, 2, 4, 0, 0, 3, 1, 4, 1, 4, 2, 1, 2, 0, 2, 3, 0, 1, 4, 1, 1, 0, 4, 1, 0, 2, 0, 2, 4, 0, 4, 3, 3, 4, 0, 1, 1, 1, 1, 1, 3, 4, 0, 4, 4, 3, 4, 3, 1, 2, 2, 3, 1, 1, 0, 1, 0, 1, 2, 2, 2, 3, 2, 0, 4, 4, 4, 4, 3, 4, 4, 1, 1, 0, 4, 2, 0, 1, 4, 4, 4, 4, 2, 1, 0, 0, 2, 3, 0, 1, 4, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 4, 4, 4, 3, 1, 3, 0, 2, 3, 3, 2, 0, 2, 3, 2, 3, 1, 3, 2, 2, 2, 1, 3, 1, 0, 2, 3, 2, 1, 0, 1, 3, 4, 0, 4, 3, 4, 2, 0, 1, 1, 4, 0, 4, 3, 4, 2, 0, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 2, 3, 1, 3, 4, 0, 3, 1, 0, 1, 1, 1, 1, 4, 0, 4, 4, 0, 4, 3, 4, 3, 3, 2, 1, 4, 3, 2, 2, 4, 3, 4, 0, 4, 4, 4, 1, 0, 2, 0, 1, 3, 0, 4, 3, 0, 4, 0, 0, 3, 2, 1, 3, 4, 3, 0, 4, 0, 0, 0, 4, 0, 2, 2, 4, 3, 0, 3, 3, 3, 2, 3, 4, 0, 4, 2, 0, 4, 1, 4, 4, 4, 2, 0, 1, 0, 4, 3, 0, 4, 0, 4, 1, 3, 3, 1, 2, 3, 3, 4, 4, 3, 1, 1, 3, 4, 1, 3, 0, 2, 0, 3, 2, 3, 0, 1, 3, 1, 1, 2, 4, 2, 3, 1, 0, 3, 3, 3, 0, 0, 4, 3, 3, 0, 4, 4, 2, 2, 4, 4, 0, 1, 1, 4, 4, 2, 4, 0, 1, 1, 2, 4, 4, 3, 1, 4, 3, 0, 3, 3, 4, 1, 1, 1, 4, 4, 4, 2, 1, 0, 4, 3, 1, 2, 0, 4, 2, 3, 3, 0, 1, 4, 1, 0, 3, 3, 4]
pubkeycol912 = [0, 1, 4, 1, 4, 4, 1, 3, 1, 3, 2, 4, 4, 0, 4, 4, 0, 4, 1, 1, 3, 1, 4, 2, 0, 3, 0, 2, 3, 0, 1, 4, 4, 0, 3, 3, 1, 1, 0, 0, 0, 1, 4, 3, 2, 1, 3, 4, 1, 2, 1, 1, 0, 2, 1, 1, 4, 2, 4, 1, 4, 2, 1, 0, 0, 2, 2, 1, 2, 3, 2, 4, 0, 0, 0, 1, 2, 4, 4, 1, 3, 2, 1, 1, 0, 1, 0, 4, 2, 0, 2, 1, 2, 4, 3, 0, 0, 0, 2, 2, 2, 4, 4, 0, 4, 3, 0, 0, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 2, 0, 2, 0, 1, 1, 2, 0, 4, 3, 2, 0, 1, 4, 3, 1, 1, 3, 0, 2, 4, 1, 0, 3, 0, 1, 1, 2, 0, 0, 4, 4, 2, 2, 2, 1, 2, 1, 3, 3, 0, 2, 0, 1, 4, 4, 0, 1, 2, 4, 1, 3, 3, 1, 3, 3, 1, 0, 2, 1, 3, 4, 1, 2, 2, 2, 4, 2, 1, 3, 3, 4, 3, 4, 2, 2, 3, 2, 0, 4, 0, 1, 1, 0, 4, 1, 1, 4, 1, 3, 2, 0, 2, 3, 2, 0, 4, 0, 1, 4, 2, 4, 3, 1, 4, 2, 2, 0, 1, 1, 2, 0, 1, 1, 4, 2, 1, 3, 3, 0, 2, 1, 0, 2, 0, 1, 4, 2, 2, 4, 2, 3, 4, 0, 1, 1, 0, 4, 0, 1, 2, 3, 4, 2, 2, 1, 0, 1, 1, 0, 2, 4, 0, 1, 2, 2, 1, 4, 1, 2, 1, 3, 2, 1, 3, 1, 4, 0, 2, 3, 4, 4, 2, 3, 4, 2, 1, 3, 2, 3, 3, 2, 3, 4, 0, 1, 3, 3, 4, 0, 2, 3, 1, 3, 4, 3, 3, 3, 2, 4, 1, 3, 0, 4, 0, 3, 3, 0, 2, 2, 3, 1, 0, 2, 0, 3, 2, 3, 4, 2, 2, 0, 4, 1, 4, 3, 2, 0, 0, 1, 1, 3, 2, 2, 0, 4, 4, 0, 0, 4, 1, 3, 2, 4, 1, 3, 2, 3, 4, 2, 4, 1, 2, 0, 0, 4, 2, 2, 1, 3, 1, 3, 4, 3, 4, 1, 0, 1, 2, 4, 3, 4, 0, 4, 4, 3, 4, 1, 2, 3, 3, 1]
pubkeycol913 = [2, 3, 4, 2, 2, 3, 4, 2, 0, 1, 3, 4, 1, 1, 0, 4, 3, 1, 3, 0, 4, 4, 4, 0, 1, 2, 3, 4, 1, 0, 4, 2, 1, 4, 0, 0, 4, 3, 2, 1, 3, 1, 3, 3, 2, 0, 4, 2, 0, 3, 3, 1, 1, 3, 3, 0, 4, 1, 0, 0, 2, 3, 4, 4, 4, 3, 0, 4, 1, 0, 0, 4, 0, 4, 2, 0, 1, 0, 1, 0, 1, 3, 3, 1, 3, 2, 2, 4, 3, 4, 0, 0, 4, 2, 1, 4, 2, 1, 2, 1, 2, 3, 3, 3, 2, 4, 1, 3, 4, 2, 3, 0, 2, 3, 2, 2, 0, 4, 1, 4, 1, 2, 3, 0, 3, 4, 3, 0, 0, 3, 2, 2, 1, 3, 3, 0, 3, 2, 3, 4, 1, 4, 2, 0, 1, 3, 4, 0, 0, 2, 3, 2, 0, 4, 1, 1, 1, 4, 1, 3, 2, 4, 0, 2, 3, 2, 0, 4, 2, 4, 4, 2, 4, 1, 4, 1, 1, 3, 0, 2, 2, 4, 3, 4, 4, 1, 2, 3, 3, 0, 3, 4, 1, 4, 3, 4, 2, 2, 4, 3, 3, 4, 1, 0, 1, 1, 0, 4, 1, 4, 0, 2, 1, 4, 0, 1, 1, 3, 0, 0, 3, 1, 2, 3, 4, 0, 1, 3, 3, 2, 0, 0, 4, 2, 3, 2, 0, 2, 4, 0, 3, 1, 2, 1, 4, 4, 1, 1, 2, 2, 0, 3, 3, 1, 4, 1, 2, 1, 2, 1, 4, 3, 0, 3, 1, 1, 4, 1, 4, 2, 1, 4, 1, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 0, 1, 3, 2, 1, 4, 0, 0, 4, 2, 3, 4, 3, 3, 0, 3, 3, 3, 0, 1, 4, 3, 2, 4, 0, 0, 0, 2, 2, 4, 0, 4, 0, 3, 3, 1, 2, 3, 0, 4, 3, 4, 3, 4, 0, 1, 3, 4, 0, 0, 0, 0, 1, 3, 4, 3, 0, 4, 2, 1, 3, 4, 3, 0, 4, 3, 4, 3, 2, 2, 4, 3, 4, 0, 2, 4, 2, 2, 3, 2, 2, 0, 1, 2, 2, 3, 0, 4, 0, 0, 1, 3, 4, 4, 2, 0, 2, 0, 2, 4, 4, 3, 2, 1, 4, 1, 4, 3, 3, 3, 0, 1, 2, 3, 3, 1, 1]
pubkeycol914 = [3, 3, 2, 0, 3, 4, 3, 1, 2, 1, 0, 2, 0, 4, 3, 4, 3, 4, 0, 0, 1, 4, 1, 2, 3, 3, 2, 0, 2, 4, 2, 0, 4, 3, 4, 1, 4, 4, 1, 4, 1, 2, 3, 0, 0, 3, 3, 4, 0, 2, 2, 2, 1, 1, 4, 0, 4, 4, 4, 2, 2, 1, 3, 0, 0, 1, 3, 1, 0, 4, 4, 2, 1, 0, 3, 2, 1, 2, 3, 2, 4, 4, 3, 0, 1, 1, 2, 1, 4, 2, 1, 4, 4, 3, 0, 0, 4, 3, 4, 2, 3, 4, 4, 1, 4, 3, 1, 2, 2, 3, 0, 4, 1, 2, 3, 0, 3, 1, 2, 3, 0, 4, 0, 0, 4, 2, 0, 1, 3, 4, 0, 0, 0, 4, 3, 4, 2, 1, 2, 4, 3, 2, 2, 0, 1, 3, 1, 2, 3, 3, 4, 4, 0, 3, 0, 4, 0, 1, 2, 2, 1, 3, 4, 4, 0, 0, 3, 2, 3, 3, 1, 1, 4, 4, 2, 1, 0, 3, 2, 1, 4, 0, 0, 0, 1, 4, 0, 3, 4, 1, 4, 1, 1, 2, 0, 4, 1, 0, 2, 2, 4, 2, 3, 3, 3, 1, 2, 1, 3, 1, 1, 3, 0, 3, 3, 0, 4, 3, 4, 1, 3, 1, 4, 1, 2, 4, 3, 1, 2, 1, 3, 2, 0, 3, 2, 3, 3, 4, 0, 1, 4, 4, 1, 4, 3, 0, 2, 1, 3, 1, 4, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 4, 3, 4, 1, 2, 1, 3, 3, 0, 4, 1, 4, 2, 1, 1, 4, 2, 2, 1, 2, 0, 2, 4, 4, 0, 4, 2, 4, 4, 4, 4, 3, 1, 4, 3, 3, 1, 0, 4, 1, 4, 3, 1, 1, 0, 3, 0, 3, 3, 3, 4, 3, 0, 1, 3, 4, 1, 4, 3, 3, 2, 3, 4, 2, 3, 4, 1, 3, 3, 4, 0, 4, 3, 0, 4, 0, 4, 0, 0, 0, 3, 4, 2, 2, 0, 3, 3, 4, 0, 1, 4, 3, 2, 4, 0, 3, 0, 4, 3, 0, 4, 1, 4, 1, 3, 1, 1, 0, 0, 1, 0, 4, 1, 2, 1, 2, 2, 0, 3, 0, 3, 4, 1, 2, 3, 3, 2, 2, 3, 2, 1, 4, 3, 4, 1, 2, 0]
pubkeycol915 = [1, 3, 4, 2, 2, 4, 1, 0, 1, 4, 2, 0, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 4, 0, 1, 4, 1, 2, 4, 0, 0, 2, 4, 3, 0, 0, 3, 1, 2, 1, 3, 4, 4, 2, 2, 0, 0, 4, 3, 2, 2, 1, 0, 4, 4, 0, 0, 2, 4, 2, 1, 0, 4, 1, 1, 3, 0, 4, 0, 3, 2, 2, 2, 3, 1, 0, 0, 1, 1, 0, 3, 4, 2, 3, 3, 1, 3, 4, 3, 0, 4, 3, 1, 0, 3, 1, 4, 3, 3, 3, 1, 3, 0, 0, 3, 0, 2, 4, 1, 1, 0, 2, 3, 3, 4, 3, 2, 4, 0, 1, 3, 3, 4, 4, 0, 4, 4, 3, 3, 3, 0, 1, 0, 4, 2, 0, 3, 4, 3, 2, 3, 0, 2, 2, 1, 1, 0, 4, 4, 0, 2, 1, 0, 4, 4, 3, 1, 2, 2, 1, 4, 0, 4, 1, 4, 3, 3, 0, 4, 0, 0, 2, 2, 3, 1, 2, 0, 1, 2, 2, 0, 0, 3, 2, 0, 4, 4, 4, 1, 4, 4, 0, 3, 2, 3, 1, 2, 3, 2, 3, 1, 3, 3, 2, 1, 4, 4, 4, 3, 0, 0, 1, 3, 0, 1, 1, 0, 3, 3, 2, 0, 3, 0, 0, 3, 1, 3, 1, 3, 3, 4, 0, 4, 2, 4, 4, 0, 2, 3, 1, 2, 1, 4, 3, 0, 2, 4, 4, 1, 0, 0, 0, 2, 4, 0, 4, 2, 0, 4, 2, 4, 1, 3, 1, 3, 2, 1, 2, 0, 4, 0, 0, 3, 4, 3, 4, 2, 0, 4, 0, 2, 3, 0, 4, 4, 4, 0, 0, 2, 1, 3, 3, 1, 1, 2, 1, 3, 0, 2, 0, 3, 1, 2, 2, 4, 4, 1, 2, 2, 1, 4, 2, 3, 3, 0, 0, 0, 3, 0, 3, 3, 1, 2, 4, 4, 4, 1, 3, 0, 3, 3, 2, 3, 3, 2, 1, 1, 3, 0, 2, 4, 3, 4, 4, 0, 3, 2, 3, 0, 4, 2, 0, 4, 0, 0, 2, 4, 3, 2, 2, 0, 3, 3, 3, 1, 2, 3, 0, 1, 2, 3, 3, 1, 3, 4, 4, 0, 2, 3, 2, 0, 2, 0, 4, 4, 2, 0, 1, 3, 3, 1, 3, 1, 4, 2, 4, 2, 2, 0, 1]
pubkeycol916 = [0, 0, 2, 2, 1, 0, 0, 3, 4, 2, 1, 3, 0, 1, 0, 1, 2, 4, 1, 0, 3, 2, 2, 0, 2, 3, 1, 4, 0, 2, 2, 1, 0, 4, 2, 1, 0, 1, 2, 4, 1, 1, 1, 4, 3, 1, 3, 1, 0, 1, 4, 1, 1, 1, 4, 0, 2, 4, 1, 4, 0, 4, 3, 1, 1, 0, 2, 4, 0, 3, 0, 1, 3, 2, 1, 4, 2, 0, 4, 0, 1, 3, 2, 0, 2, 3, 0, 3, 1, 2, 0, 4, 4, 0, 0, 2, 2, 0, 3, 2, 3, 4, 2, 1, 1, 1, 4, 4, 3, 0, 0, 3, 3, 0, 2, 3, 2, 3, 3, 4, 4, 3, 4, 0, 1, 3, 4, 0, 4, 3, 3, 4, 4, 3, 0, 3, 0, 2, 2, 2, 4, 3, 0, 1, 3, 2, 4, 4, 3, 1, 2, 1, 1, 3, 3, 0, 4, 4, 2, 2, 0, 4, 3, 4, 3, 4, 4, 4, 3, 0, 3, 4, 0, 1, 4, 3, 1, 3, 4, 4, 0, 1, 2, 3, 4, 1, 3, 3, 3, 0, 1, 2, 3, 1, 4, 2, 0, 1, 2, 2, 2, 4, 0, 0, 0, 3, 2, 0, 4, 1, 1, 4, 3, 4, 1, 2, 2, 1, 4, 1, 2, 4, 1, 0, 3, 3, 0, 1, 3, 0, 2, 0, 3, 2, 2, 2, 1, 2, 4, 1, 3, 1, 3, 4, 3, 2, 2, 2, 1, 0, 4, 4, 4, 3, 4, 1, 1, 4, 2, 4, 2, 2, 1, 0, 0, 4, 4, 4, 4, 2, 0, 0, 4, 4, 4, 4, 0, 2, 4, 2, 1, 0, 0, 2, 2, 1, 0, 3, 2, 1, 1, 3, 3, 3, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 3, 1, 2, 1, 3, 3, 2, 0, 3, 3, 1, 3, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 4, 2, 4, 4, 4, 0, 4, 2, 0, 4, 0, 0, 3, 3, 0, 3, 4, 3, 4, 4, 2, 0, 0, 2, 1, 3, 0, 3, 3, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 3, 2, 0, 3, 4, 3, 2, 0, 4, 3, 4, 0, 2, 1, 1, 1, 1, 1, 4, 2, 0, 1, 1, 3, 4, 1, 4, 4, 3, 4, 2, 2]
pubkeycol917 = [2, 4, 4, 1, 1, 0, 3, 1, 1, 4, 1, 3, 1, 0, 2, 1, 2, 4, 0, 0, 1, 1, 4, 1, 4, 2, 3, 2, 1, 4, 4, 0, 3, 4, 2, 0, 0, 1, 4, 3, 3, 0, 1, 4, 3, 3, 3, 1, 2, 4, 3, 2, 0, 1, 4, 0, 3, 0, 3, 4, 3, 0, 4, 2, 4, 3, 1, 0, 3, 1, 4, 2, 2, 4, 3, 0, 2, 0, 4, 3, 4, 4, 3, 2, 3, 2, 0, 4, 0, 1, 3, 3, 3, 0, 4, 2, 0, 4, 2, 0, 1, 0, 2, 3, 0, 1, 4, 0, 1, 2, 3, 1, 4, 4, 1, 0, 1, 0, 2, 2, 4, 1, 0, 0, 0, 3, 0, 4, 2, 2, 4, 4, 4, 0, 1, 2, 1, 4, 1, 3, 2, 3, 3, 4, 4, 2, 2, 3, 3, 4, 2, 1, 1, 0, 2, 1, 3, 1, 4, 4, 4, 1, 3, 2, 2, 0, 2, 1, 0, 0, 2, 3, 2, 0, 0, 1, 0, 2, 4, 0, 1, 0, 1, 1, 1, 0, 4, 0, 1, 1, 2, 1, 0, 0, 0, 2, 4, 3, 3, 4, 3, 3, 0, 2, 3, 0, 0, 2, 0, 2, 1, 3, 2, 1, 1, 0, 3, 1, 0, 0, 0, 4, 4, 3, 4, 1, 4, 4, 0, 2, 4, 0, 4, 3, 1, 0, 4, 2, 2, 4, 4, 2, 3, 3, 4, 0, 0, 2, 1, 4, 2, 4, 4, 2, 4, 0, 4, 1, 4, 2, 0, 2, 4, 1, 0, 4, 3, 4, 4, 4, 2, 0, 0, 1, 3, 4, 3, 0, 4, 2, 4, 0, 3, 0, 2, 1, 3, 2, 3, 4, 3, 2, 4, 2, 2, 0, 2, 3, 0, 3, 3, 3, 1, 1, 4, 0, 4, 3, 2, 1, 0, 0, 3, 0, 1, 4, 2, 0, 1, 3, 0, 3, 4, 3, 1, 4, 1, 3, 1, 1, 0, 4, 2, 2, 2, 4, 1, 3, 1, 1, 0, 1, 4, 2, 0, 4, 2, 2, 4, 0, 4, 1, 0, 1, 3, 2, 4, 0, 0, 3, 0, 1, 2, 0, 0, 4, 4, 3, 0, 4, 2, 0, 0, 0, 4, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 4, 4, 2, 4, 1, 1, 4, 3, 0, 1, 2, 0, 3, 1, 4]
pubkeycol918 = [3, 2, 0, 0, 0, 0, 3, 1, 2, 1, 2, 4, 4, 2, 0, 2, 1, 0, 2, 2, 2, 4, 1, 4, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 4, 3, 3, 1, 2, 2, 1, 4, 2, 3, 4, 0, 1, 3, 2, 1, 1, 3, 1, 3, 4, 3, 2, 3, 1, 0, 2, 3, 1, 3, 0, 2, 2, 0, 3, 0, 4, 2, 1, 4, 0, 1, 0, 1, 4, 3, 3, 3, 0, 2, 0, 0, 1, 4, 1, 2, 2, 4, 4, 0, 4, 3, 2, 0, 4, 3, 0, 2, 3, 2, 0, 4, 3, 2, 2, 0, 0, 3, 1, 4, 3, 0, 1, 3, 4, 2, 0, 3, 4, 3, 3, 3, 1, 4, 3, 0, 0, 1, 2, 0, 4, 3, 3, 1, 2, 0, 2, 4, 2, 2, 3, 4, 0, 1, 4, 3, 3, 4, 1, 2, 3, 2, 4, 1, 1, 2, 4, 1, 1, 4, 3, 0, 1, 3, 0, 2, 3, 0, 3, 1, 1, 0, 0, 4, 0, 1, 3, 2, 0, 2, 3, 4, 0, 4, 4, 3, 1, 4, 2, 4, 0, 1, 3, 3, 2, 2, 4, 0, 1, 2, 0, 2, 1, 0, 4, 1, 2, 4, 3, 0, 0, 4, 2, 4, 0, 3, 3, 3, 4, 3, 3, 0, 0, 1, 1, 3, 0, 3, 1, 3, 2, 3, 2, 3, 2, 4, 3, 4, 1, 3, 4, 3, 2, 3, 0, 2, 2, 1, 2, 4, 2, 0, 4, 3, 0, 0, 1, 2, 3, 2, 3, 3, 2, 1, 3, 0, 0, 3, 1, 0, 4, 1, 1, 2, 1, 4, 3, 4, 2, 4, 4, 2, 0, 2, 4, 4, 3, 4, 1, 0, 4, 2, 1, 4, 1, 4, 1, 1, 2, 2, 1, 4, 1, 3, 1, 4, 3, 3, 3, 1, 4, 4, 1, 4, 0, 3, 3, 2, 3, 2, 2, 1, 2, 0, 4, 2, 2, 4, 4, 4, 2, 0, 0, 2, 2, 2, 1, 0, 4, 4, 4, 0, 4, 3, 2, 3, 3, 1, 1, 3, 3, 1, 0, 1, 3, 1, 0, 3, 2, 2, 1, 4, 2, 4, 4, 2, 3, 2, 2, 3, 2, 1, 4, 0, 0, 3, 0, 0, 1, 3, 1, 3, 4, 2, 0, 2, 1, 3, 1, 4, 3, 2, 0, 4, 2, 1]
pubkeycol919 = [0, 0, 0, 2, 4, 2, 1, 2, 3, 0, 3, 3, 1, 2, 3, 2, 1, 1, 1, 1, 0, 1, 4, 1, 3, 3, 1, 4, 1, 0, 4, 4, 1, 1, 1, 2, 1, 3, 1, 3, 4, 2, 2, 0, 4, 2, 1, 1, 2, 3, 1, 0, 3, 1, 0, 1, 2, 2, 3, 1, 2, 3, 1, 1, 3, 3, 4, 4, 3, 3, 0, 1, 1, 3, 2, 0, 0, 1, 1, 2, 0, 0, 1, 4, 4, 4, 2, 2, 3, 2, 3, 4, 3, 3, 0, 3, 2, 1, 4, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 2, 4, 4, 3, 1, 2, 2, 1, 4, 4, 4, 2, 3, 1, 3, 1, 3, 4, 1, 0, 3, 4, 3, 3, 0, 3, 0, 2, 4, 3, 4, 0, 2, 3, 4, 1, 4, 4, 3, 1, 0, 1, 3, 3, 4, 0, 1, 0, 3, 1, 0, 4, 1, 3, 0, 4, 2, 0, 2, 4, 3, 0, 3, 3, 4, 0, 2, 4, 2, 4, 0, 2, 2, 2, 0, 3, 1, 1, 2, 2, 4, 1, 3, 2, 1, 0, 2, 4, 3, 3, 1, 3, 3, 0, 2, 0, 1, 3, 3, 0, 4, 4, 1, 2, 2, 2, 1, 0, 1, 3, 3, 2, 4, 0, 0, 3, 2, 4, 0, 0, 1, 3, 3, 2, 1, 0, 4, 1, 3, 0, 4, 1, 4, 0, 0, 3, 1, 4, 3, 4, 1, 3, 3, 3, 0, 4, 1, 1, 1, 4, 2, 1, 2, 0, 1, 2, 0, 1, 3, 3, 3, 0, 0, 3, 1, 4, 3, 0, 1, 1, 4, 4, 0, 3, 0, 0, 4, 4, 2, 3, 4, 0, 3, 1, 0, 1, 2, 4, 2, 0, 3, 1, 2, 4, 3, 0, 4, 4, 1, 3, 4, 2, 1, 3, 0, 0, 0, 1, 3, 2, 1, 2, 4, 2, 0, 2, 2, 2, 1, 1, 0, 2, 4, 0, 3, 3, 3, 0, 0, 2, 2, 2, 2, 2, 4, 3, 1, 3, 2, 4, 0, 4, 1, 0, 4, 3, 0, 0, 0, 2, 2, 3, 3, 0, 1, 3, 3, 3, 2, 0, 4, 1, 0, 0, 3, 0, 1, 2, 4, 4, 3, 3, 2, 1, 1, 0, 0, 1, 2, 1, 1, 3, 0, 1, 0, 0, 1, 1, 0, 0, 0]
pubkeycol920 = [2, 3, 1, 4, 2, 2, 0, 3, 3, 1, 0, 4, 3, 4, 0, 2, 3, 2, 0, 2, 2, 2, 3, 4, 1, 0, 0, 2, 1, 2, 4, 3, 0, 1, 0, 3, 3, 2, 4, 0, 0, 0, 2, 4, 4, 2, 3, 4, 1, 3, 2, 2, 1, 4, 2, 2, 1, 3, 3, 4, 1, 1, 1, 3, 4, 2, 0, 3, 2, 3, 3, 2, 1, 3, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 3, 3, 3, 1, 2, 2, 2, 0, 4, 4, 0, 0, 4, 4, 3, 4, 2, 4, 0, 0, 3, 2, 0, 1, 4, 3, 1, 1, 2, 3, 4, 1, 3, 3, 4, 1, 1, 3, 4, 3, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 4, 2, 1, 3, 2, 3, 2, 0, 4, 1, 3, 0, 1, 3, 3, 2, 0, 0, 0, 4, 4, 0, 3, 4, 4, 0, 3, 3, 0, 4, 0, 2, 3, 2, 2, 1, 4, 2, 0, 4, 2, 2, 1, 4, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 3, 4, 1, 0, 2, 1, 2, 3, 1, 0, 3, 3, 4, 4, 1, 2, 0, 2, 1, 1, 1, 2, 4, 2, 2, 3, 3, 2, 0, 1, 1, 0, 4, 0, 1, 0, 0, 2, 3, 3, 3, 3, 4, 4, 0, 1, 2, 4, 1, 0, 3, 3, 4, 3, 4, 2, 2, 4, 2, 4, 0, 3, 1, 1, 2, 3, 4, 0, 1, 1, 1, 3, 4, 1, 0, 1, 2, 1, 2, 0, 0, 0, 4, 3, 0, 1, 3, 3, 0, 4, 4, 0, 3, 2, 1, 0, 3, 2, 1, 1, 3, 4, 1, 3, 4, 1, 4, 3, 1, 0, 3, 1, 4, 1, 4, 3, 4, 0, 3, 3, 3, 3, 1, 4, 3, 1, 2, 3, 3, 4, 4, 0, 3, 4, 1, 4, 3, 0, 4, 0, 3, 3, 4, 1, 0, 3, 1, 4, 3, 1, 3, 3, 4, 2, 1, 1, 1, 2, 3, 4, 4, 4, 3, 0, 3, 0, 1, 0, 1, 2, 3, 0, 0, 4, 0, 3, 4, 4, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 3, 3, 0, 4, 2, 1, 2, 4, 2, 0, 0, 2, 0, 0, 2, 2, 3, 1, 3, 0, 0, 3, 3]
pubkeycol921 = [2, 3, 0, 0, 0, 2, 3, 0, 2, 2, 2, 3, 3, 4, 2, 1, 4, 0, 3, 1, 4, 4, 4, 1, 0, 0, 2, 2, 3, 3, 4, 4, 1, 4, 3, 3, 0, 1, 4, 1, 2, 2, 4, 0, 0, 3, 1, 1, 2, 2, 2, 0, 3, 4, 2, 1, 2, 4, 0, 0, 1, 3, 2, 4, 1, 1, 4, 1, 0, 4, 1, 4, 0, 4, 4, 2, 3, 3, 1, 1, 3, 4, 3, 1, 2, 0, 0, 1, 1, 4, 0, 3, 1, 1, 0, 2, 3, 2, 4, 2, 2, 0, 0, 3, 1, 1, 3, 1, 1, 0, 2, 3, 4, 1, 2, 3, 1, 0, 2, 4, 0, 0, 2, 0, 2, 1, 1, 0, 4, 4, 1, 3, 2, 0, 0, 1, 3, 3, 0, 2, 3, 3, 4, 3, 3, 0, 0, 2, 4, 0, 4, 2, 3, 4, 1, 2, 3, 0, 4, 3, 0, 1, 2, 4, 4, 0, 4, 0, 2, 3, 4, 0, 4, 4, 3, 1, 0, 3, 4, 1, 0, 4, 2, 2, 3, 4, 4, 0, 1, 1, 3, 0, 3, 2, 3, 0, 0, 0, 0, 2, 0, 3, 1, 0, 0, 0, 3, 0, 2, 1, 3, 0, 0, 3, 1, 3, 3, 1, 0, 2, 4, 4, 1, 0, 2, 1, 2, 4, 4, 3, 4, 0, 1, 0, 2, 2, 2, 1, 0, 1, 4, 0, 4, 1, 3, 3, 3, 1, 1, 0, 0, 1, 1, 1, 0, 4, 2, 1, 0, 0, 4, 2, 1, 2, 1, 4, 0, 0, 4, 3, 3, 2, 0, 4, 1, 4, 4, 2, 1, 2, 0, 2, 3, 3, 1, 4, 1, 0, 4, 3, 2, 1, 4, 0, 0, 4, 4, 4, 0, 0, 1, 0, 3, 3, 2, 0, 4, 2, 3, 4, 2, 2, 1, 1, 3, 1, 3, 2, 3, 4, 0, 2, 0, 3, 0, 0, 2, 2, 4, 0, 0, 1, 0, 3, 0, 2, 1, 0, 4, 1, 0, 2, 0, 4, 1, 4, 0, 3, 3, 0, 1, 0, 3, 1, 0, 1, 1, 0, 2, 2, 3, 2, 1, 0, 2, 1, 2, 3, 1, 2, 1, 2, 2, 1, 4, 1, 2, 3, 0, 2, 1, 3, 2, 3, 3, 4, 2, 3, 4, 0, 3, 3, 0, 2, 3, 3, 4, 0, 2, 1]
pubkeycol922 = [2, 3, 1, 4, 1, 3, 2, 2, 0, 0, 3, 1, 1, 4, 1, 1, 1, 1, 4, 1, 1, 0, 3, 3, 2, 2, 1, 2, 1, 4, 0, 2, 4, 0, 4, 0, 4, 4, 4, 0, 2, 3, 1, 1, 1, 4, 4, 4, 2, 1, 3, 3, 0, 3, 0, 2, 2, 0, 0, 3, 3, 2, 4, 0, 4, 0, 2, 0, 1, 0, 4, 3, 3, 0, 0, 0, 2, 1, 4, 2, 1, 0, 0, 3, 1, 2, 1, 2, 1, 3, 0, 3, 4, 2, 3, 1, 4, 3, 0, 3, 0, 2, 3, 2, 1, 0, 0, 1, 2, 0, 3, 4, 1, 0, 0, 4, 2, 4, 0, 3, 3, 3, 2, 2, 1, 0, 2, 1, 3, 2, 4, 0, 1, 3, 2, 3, 4, 1, 3, 0, 2, 1, 4, 2, 0, 3, 3, 1, 2, 0, 0, 4, 3, 3, 0, 1, 1, 2, 0, 1, 1, 2, 3, 0, 3, 1, 1, 2, 3, 1, 1, 1, 4, 4, 3, 4, 3, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 4, 1, 4, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 4, 3, 0, 3, 1, 2, 4, 0, 0, 1, 0, 0, 2, 0, 0, 2, 3, 2, 1, 1, 1, 0, 3, 2, 0, 1, 2, 4, 0, 0, 0, 3, 0, 2, 2, 1, 2, 1, 3, 4, 0, 0, 2, 4, 0, 4, 4, 1, 2, 3, 2, 4, 1, 0, 3, 1, 2, 1, 4, 1, 4, 2, 2, 1, 4, 3, 4, 2, 0, 2, 0, 0, 0, 2, 3, 0, 4, 3, 3, 4, 1, 0, 3, 2, 3, 2, 0, 4, 3, 2, 3, 3, 0, 4, 2, 3, 2, 0, 3, 2, 3, 4, 2, 1, 2, 3, 0, 3, 3, 3, 3, 1, 2, 3, 3, 4, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 4, 2, 1, 3, 3, 1, 4, 0, 1, 3, 4, 2, 3, 3, 3, 2, 0, 4, 3, 0, 3, 2, 4, 1, 1, 1, 1, 1, 3, 1, 4, 2, 3, 1, 1, 0, 1, 4, 0, 1, 0, 4, 1, 4, 1, 2, 3, 0, 4, 4, 4, 1, 0, 4, 4, 4, 2, 4, 2, 1, 2, 4, 3, 2, 2, 4, 1, 0, 4]
pubkeycol923 = [2, 2, 4, 3, 2, 1, 4, 1, 4, 1, 2, 1, 0, 4, 2, 1, 3, 4, 0, 2, 3, 2, 2, 4, 3, 1, 1, 2, 0, 3, 2, 0, 3, 3, 3, 1, 4, 2, 0, 1, 2, 4, 2, 1, 4, 2, 3, 3, 3, 1, 1, 4, 0, 4, 3, 1, 0, 1, 2, 4, 2, 4, 2, 1, 2, 0, 2, 3, 1, 3, 2, 2, 3, 4, 0, 2, 0, 0, 0, 4, 2, 4, 2, 3, 3, 4, 4, 4, 1, 1, 0, 2, 0, 3, 4, 2, 1, 1, 1, 2, 3, 4, 4, 2, 0, 1, 3, 2, 2, 4, 0, 1, 3, 1, 4, 0, 4, 3, 3, 0, 3, 3, 0, 1, 2, 3, 1, 0, 1, 2, 2, 2, 0, 4, 4, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 3, 2, 2, 3, 3, 1, 4, 1, 4, 1, 4, 3, 4, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 1, 4, 0, 3, 4, 0, 1, 4, 0, 2, 1, 4, 4, 1, 0, 3, 1, 0, 3, 3, 2, 4, 3, 3, 3, 2, 1, 4, 2, 0, 1, 3, 2, 2, 1, 1, 1, 4, 1, 3, 2, 4, 4, 4, 4, 0, 4, 1, 1, 3, 3, 4, 2, 2, 3, 2, 3, 4, 1, 1, 2, 4, 0, 1, 4, 0, 3, 1, 3, 3, 2, 4, 2, 0, 3, 0, 4, 0, 3, 4, 3, 3, 2, 3, 4, 3, 0, 4, 4, 0, 1, 1, 0, 0, 3, 0, 4, 4, 3, 4, 2, 4, 1, 0, 3, 2, 4, 2, 4, 4, 0, 4, 2, 0, 3, 1, 2, 4, 2, 4, 0, 0, 2, 1, 0, 2, 3, 1, 4, 1, 1, 1, 0, 1, 2, 4, 2, 3, 0, 3, 0, 0, 4, 2, 3, 4, 0, 4, 0, 2, 3, 0, 4, 4, 4, 0, 3, 2, 1, 2, 3, 4, 2, 4, 3, 0, 3, 4, 1, 0, 1, 3, 1, 1, 4, 3, 1, 3, 2, 4, 4, 2, 2, 4, 3, 0, 0, 4, 0, 3, 4, 1, 0, 4, 0, 3, 3, 2, 2, 1, 3, 0, 3, 4, 2, 0, 1, 2, 3, 0, 1, 2, 3, 1, 4, 3, 0, 2, 0, 2, 2, 3, 3, 2, 2, 3, 0, 0]
pubkeycol924 = [0, 3, 0, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 0, 1, 0, 0, 4, 1, 1, 3, 2, 2, 0, 4, 0, 2, 4, 2, 4, 0, 3, 4, 1, 1, 0, 0, 0, 4, 2, 1, 4, 0, 2, 4, 3, 2, 0, 0, 0, 3, 3, 4, 0, 1, 2, 4, 4, 0, 3, 2, 1, 0, 2, 1, 0, 3, 0, 2, 1, 2, 0, 1, 2, 4, 1, 3, 4, 1, 1, 1, 3, 4, 4, 3, 3, 4, 2, 1, 2, 1, 2, 4, 1, 3, 4, 2, 2, 0, 4, 1, 3, 0, 1, 1, 2, 2, 1, 0, 1, 4, 3, 2, 0, 1, 3, 0, 3, 2, 2, 1, 1, 3, 3, 4, 4, 1, 2, 3, 2, 3, 0, 1, 2, 0, 4, 2, 0, 4, 2, 0, 1, 3, 2, 3, 2, 2, 3, 1, 4, 4, 4, 4, 3, 2, 4, 2, 3, 3, 1, 3, 0, 3, 4, 3, 0, 4, 0, 0, 3, 1, 0, 1, 4, 3, 2, 3, 4, 0, 0, 1, 0, 0, 3, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 0, 3, 3, 4, 4, 3, 2, 0, 3, 1, 1, 1, 4, 2, 0, 0, 1, 3, 4, 1, 2, 3, 2, 3, 0, 0, 0, 4, 3, 4, 3, 0, 0, 3, 3, 4, 1, 0, 3, 0, 1, 2, 0, 3, 4, 0, 2, 4, 0, 4, 3, 2, 2, 0, 1, 2, 1, 1, 4, 4, 2, 0, 0, 2, 2, 0, 0, 1, 4, 2, 0, 0, 0, 1, 2, 4, 1, 2, 3, 0, 1, 0, 2, 4, 3, 3, 2, 3, 0, 3, 4, 1, 0, 3, 2, 3, 4, 1, 0, 4, 0, 3, 0, 0, 3, 0, 0, 1, 2, 0, 4, 4, 4, 4, 3, 2, 2, 2, 3, 2, 4, 1, 1, 2, 1, 4, 0, 3, 2, 1, 4, 1, 3, 2, 3, 3, 1, 0, 1, 1, 4, 0, 0, 2, 2, 3, 3, 0, 1, 1, 2, 2, 4, 2, 1, 2, 4, 1, 2, 2, 2, 1, 4, 1, 4, 4, 3, 1, 3, 3, 4, 3, 4, 4, 2, 3, 4, 4, 0, 3, 0, 4, 4, 2, 3, 1, 4, 4, 2, 4, 2, 0, 0, 3, 1, 0, 0, 4, 1, 4, 0]
pubkeycol925 = [1, 1, 4, 2, 2, 1, 4, 2, 1, 3, 3, 4, 2, 0, 0, 4, 2, 3, 2, 4, 1, 4, 3, 2, 1, 2, 4, 1, 2, 3, 0, 1, 3, 2, 1, 0, 2, 3, 1, 3, 4, 0, 2, 3, 2, 0, 3, 0, 3, 0, 2, 4, 3, 4, 0, 4, 2, 4, 3, 1, 2, 0, 0, 4, 0, 2, 1, 4, 1, 1, 0, 0, 3, 3, 4, 1, 2, 0, 3, 2, 1, 2, 4, 4, 0, 0, 2, 3, 3, 3, 4, 3, 4, 4, 2, 3, 2, 0, 3, 2, 3, 0, 1, 4, 4, 2, 4, 2, 2, 4, 2, 4, 3, 2, 3, 4, 3, 1, 2, 0, 2, 2, 4, 3, 3, 3, 1, 4, 3, 0, 3, 1, 0, 3, 3, 0, 3, 2, 3, 3, 4, 3, 4, 0, 4, 2, 1, 4, 0, 0, 0, 0, 3, 3, 1, 2, 1, 2, 0, 1, 1, 2, 4, 0, 1, 2, 3, 4, 0, 3, 4, 2, 4, 4, 0, 1, 0, 4, 4, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 3, 4, 1, 3, 4, 1, 0, 4, 2, 4, 4, 1, 2, 3, 2, 3, 0, 0, 1, 1, 2, 1, 4, 3, 0, 0, 3, 0, 2, 2, 3, 0, 4, 4, 2, 3, 1, 0, 2, 3, 3, 4, 2, 0, 3, 0, 4, 2, 1, 2, 2, 0, 0, 0, 4, 2, 4, 1, 3, 0, 1, 2, 0, 0, 3, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 4, 4, 0, 4, 1, 0, 2, 4, 1, 3, 4, 3, 4, 3, 0, 0, 2, 1, 0, 3, 2, 1, 0, 4, 2, 0, 2, 4, 2, 4, 1, 0, 0, 0, 2, 4, 3, 4, 1, 3, 0, 4, 2, 3, 3, 3, 4, 0, 0, 2, 1, 3, 3, 2, 3, 2, 3, 4, 0, 2, 1, 4, 2, 1, 4, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 4, 1, 2, 2, 3, 4, 1, 0, 0, 3, 1, 0, 1, 1, 3, 0, 3, 2, 0, 1, 1, 1, 0, 4, 1, 4, 0, 0, 2, 4, 1, 3, 3, 2, 2, 0, 1, 0, 1, 2, 1, 4, 0, 0, 3, 3, 2, 3, 4, 3, 1, 2, 0, 2, 3, 2, 3, 0]
pubkeycol926 = [4, 0, 2, 2, 3, 4, 1, 2, 3, 0, 2, 4, 2, 4, 2, 1, 0, 2, 0, 2, 3, 2, 3, 0, 4, 2, 1, 3, 3, 4, 4, 1, 0, 2, 0, 2, 2, 4, 2, 3, 0, 4, 0, 0, 1, 3, 3, 3, 3, 4, 2, 3, 1, 1, 1, 0, 3, 1, 2, 0, 0, 4, 3, 4, 2, 0, 4, 1, 4, 1, 0, 4, 1, 1, 4, 3, 1, 0, 0, 3, 1, 4, 4, 3, 0, 2, 2, 4, 4, 1, 3, 2, 3, 3, 3, 1, 0, 3, 2, 4, 2, 4, 2, 3, 3, 0, 3, 3, 3, 4, 4, 1, 4, 4, 4, 4, 2, 2, 0, 4, 3, 2, 0, 3, 1, 1, 4, 2, 3, 2, 0, 2, 3, 4, 4, 3, 1, 4, 0, 0, 4, 2, 4, 4, 1, 4, 1, 4, 3, 2, 3, 3, 3, 4, 4, 2, 1, 3, 4, 1, 2, 3, 2, 4, 4, 2, 2, 0, 1, 1, 1, 3, 3, 3, 1, 0, 2, 2, 0, 1, 1, 4, 2, 4, 4, 1, 4, 0, 1, 1, 0, 2, 0, 2, 3, 2, 3, 2, 4, 0, 0, 3, 4, 0, 0, 1, 1, 3, 0, 3, 3, 3, 1, 0, 2, 3, 0, 3, 3, 3, 2, 4, 3, 4, 0, 0, 3, 4, 0, 4, 3, 3, 1, 4, 4, 2, 4, 2, 1, 0, 2, 1, 2, 1, 0, 3, 1, 1, 4, 4, 4, 2, 0, 1, 4, 1, 2, 3, 3, 1, 4, 2, 1, 0, 1, 3, 0, 0, 0, 2, 0, 2, 2, 4, 3, 0, 3, 2, 4, 0, 1, 2, 4, 0, 2, 1, 1, 2, 2, 3, 1, 3, 2, 0, 1, 2, 4, 0, 1, 3, 1, 0, 1, 3, 3, 2, 0, 1, 0, 4, 2, 4, 0, 2, 2, 3, 2, 2, 3, 0, 3, 1, 2, 1, 3, 3, 0, 0, 1, 4, 3, 1, 3, 4, 2, 3, 0, 0, 0, 1, 0, 0, 1, 2, 4, 1, 2, 2, 0, 0, 3, 2, 0, 3, 1, 1, 0, 0, 3, 2, 4, 4, 4, 3, 2, 4, 2, 0, 2, 3, 2, 0, 3, 2, 3, 1, 4, 2, 2, 0, 2, 0, 4, 2, 2, 2, 3, 0, 0, 3, 0, 3, 4, 3, 2, 3, 1, 0, 1, 2]
pubkeycol927 = [1, 3, 0, 0, 0, 2, 4, 3, 4, 0, 1, 0, 3, 0, 4, 0, 4, 0, 3, 2, 3, 4, 1, 4, 2, 3, 2, 1, 4, 0, 2, 0, 1, 0, 2, 1, 3, 1, 3, 4, 0, 3, 1, 4, 1, 0, 1, 4, 1, 4, 2, 0, 1, 1, 4, 3, 0, 2, 3, 4, 1, 3, 2, 1, 1, 2, 2, 0, 4, 0, 4, 1, 3, 3, 0, 1, 2, 0, 2, 4, 4, 1, 1, 4, 1, 1, 0, 3, 3, 0, 1, 0, 4, 3, 3, 3, 0, 2, 1, 4, 4, 2, 3, 2, 2, 0, 4, 2, 0, 3, 2, 1, 2, 3, 1, 0, 2, 4, 4, 4, 0, 0, 4, 0, 0, 4, 3, 3, 2, 4, 1, 0, 3, 2, 3, 3, 0, 2, 0, 2, 4, 1, 0, 0, 3, 1, 4, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 3, 1, 1, 2, 1, 0, 4, 1, 0, 4, 3, 0, 0, 2, 4, 4, 4, 2, 1, 1, 2, 4, 3, 3, 3, 2, 4, 1, 3, 3, 0, 3, 1, 2, 1, 0, 3, 1, 1, 1, 0, 1, 4, 0, 2, 3, 4, 4, 1, 0, 2, 4, 3, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 4, 2, 3, 3, 2, 2, 0, 3, 0, 3, 2, 4, 3, 1, 4, 2, 3, 3, 3, 2, 4, 4, 1, 2, 2, 4, 3, 0, 3, 4, 0, 0, 2, 0, 4, 4, 0, 4, 3, 4, 4, 4, 3, 0, 4, 4, 3, 1, 0, 1, 3, 4, 2, 1, 2, 1, 4, 0, 4, 4, 0, 3, 2, 0, 4, 4, 3, 3, 0, 3, 2, 0, 2, 2, 3, 4, 4, 0, 2, 2, 4, 2, 0, 1, 4, 1, 0, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 4, 0, 2, 3, 2, 4, 0, 4, 2, 4, 1, 0, 0, 0, 1, 3, 0, 3, 3, 3, 2, 4, 3, 2, 2, 4, 3, 2, 1, 4, 1, 2, 1, 4, 1, 1, 3, 2, 4, 1, 0, 3, 2, 3, 4, 0, 4, 0, 4, 2, 4, 4, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 0, 3, 1, 1, 2, 2, 0, 4, 0, 4]
pubkeycol928 = [3, 0, 2, 2, 0, 0, 1, 3, 0, 4, 0, 3, 1, 0, 4, 2, 3, 4, 4, 3, 2, 2, 1, 4, 2, 0, 2, 3, 3, 3, 0, 1, 4, 2, 3, 4, 4, 1, 0, 0, 2, 4, 2, 4, 1, 4, 1, 1, 1, 0, 1, 1, 3, 3, 2, 1, 3, 2, 1, 1, 2, 4, 0, 4, 2, 4, 3, 0, 4, 2, 1, 0, 4, 3, 0, 3, 2, 0, 2, 4, 2, 0, 2, 3, 0, 1, 1, 0, 0, 4, 0, 2, 1, 0, 1, 3, 1, 0, 2, 0, 1, 3, 3, 2, 1, 0, 3, 4, 2, 4, 0, 4, 1, 0, 4, 0, 0, 4, 3, 2, 2, 2, 2, 2, 1, 0, 0, 4, 0, 0, 1, 1, 0, 3, 1, 1, 1, 2, 3, 4, 1, 4, 0, 4, 0, 3, 3, 2, 3, 4, 0, 2, 2, 0, 2, 4, 3, 1, 2, 0, 2, 0, 2, 3, 3, 2, 4, 2, 4, 1, 3, 3, 3, 2, 4, 1, 1, 3, 1, 1, 0, 4, 0, 3, 1, 1, 3, 2, 3, 0, 0, 2, 3, 0, 1, 2, 2, 4, 1, 4, 1, 3, 3, 2, 2, 1, 2, 1, 0, 0, 3, 1, 2, 4, 3, 4, 0, 1, 4, 1, 1, 1, 4, 0, 2, 3, 3, 1, 4, 4, 4, 1, 0, 2, 2, 1, 0, 0, 1, 1, 4, 4, 1, 2, 4, 1, 4, 1, 0, 3, 3, 3, 0, 1, 3, 2, 1, 2, 0, 2, 3, 2, 0, 0, 0, 4, 4, 2, 1, 3, 1, 2, 2, 2, 1, 3, 0, 3, 1, 2, 1, 2, 0, 4, 0, 3, 4, 1, 3, 2, 0, 3, 1, 4, 1, 2, 4, 1, 2, 2, 0, 4, 1, 2, 0, 2, 0, 0, 3, 3, 2, 3, 0, 1, 3, 4, 2, 0, 1, 0, 3, 0, 0, 1, 1, 0, 1, 4, 2, 3, 4, 0, 0, 1, 1, 3, 0, 1, 3, 1, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 0, 0, 1, 3, 4, 1, 3, 0, 3, 4, 1, 1, 1, 3, 3, 1, 4, 2, 4, 1, 1, 0, 0, 2, 3, 1, 0, 1, 0, 4, 0, 3, 3, 3, 0, 3, 1, 3, 0, 2, 0, 1, 4, 1, 4, 2, 4, 2, 3]
pubkeycol929 = [3, 2, 4, 4, 1, 1, 2, 3, 2, 0, 3, 0, 0, 1, 1, 4, 1, 2, 1, 1, 1, 1, 4, 1, 1, 1, 2, 4, 3, 1, 2, 4, 3, 4, 0, 3, 0, 0, 0, 4, 1, 4, 3, 1, 3, 0, 3, 4, 0, 3, 3, 1, 1, 3, 1, 4, 4, 1, 2, 2, 4, 4, 1, 4, 1, 1, 1, 3, 0, 1, 1, 1, 0, 3, 1, 4, 4, 1, 2, 0, 3, 0, 2, 0, 0, 1, 2, 0, 4, 3, 4, 1, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 4, 1, 2, 4, 3, 0, 1, 0, 2, 3, 3, 4, 1, 3, 3, 2, 4, 4, 2, 1, 0, 4, 4, 1, 0, 4, 0, 1, 0, 1, 2, 3, 3, 0, 3, 0, 3, 2, 2, 0, 3, 3, 4, 0, 0, 3, 4, 4, 4, 1, 2, 0, 0, 1, 0, 4, 2, 1, 2, 2, 4, 3, 2, 0, 0, 0, 4, 1, 4, 4, 2, 2, 0, 4, 2, 0, 0, 3, 3, 3, 3, 2, 4, 4, 1, 2, 0, 2, 2, 4, 0, 3, 0, 2, 1, 2, 0, 1, 4, 0, 1, 2, 2, 4, 1, 0, 3, 1, 3, 0, 1, 1, 3, 3, 1, 0, 3, 2, 0, 2, 3, 0, 3, 3, 1, 3, 0, 1, 0, 1, 1, 4, 2, 3, 4, 3, 3, 2, 1, 3, 4, 4, 4, 2, 0, 2, 0, 3, 2, 3, 2, 3, 0, 1, 3, 1, 4, 0, 3, 3, 4, 4, 0, 1, 1, 3, 2, 2, 0, 4, 3, 2, 0, 4, 2, 3, 3, 1, 4, 3, 1, 1, 2, 0, 0, 0, 3, 4, 4, 0, 3, 4, 0, 4, 1, 1, 4, 2, 3, 1, 3, 1, 4, 4, 3, 4, 3, 0, 0, 4, 1, 3, 4, 0, 0, 3, 2, 2, 1, 1, 1, 4, 1, 0, 2, 3, 3, 0, 4, 1, 1, 0, 3, 0, 2, 4, 2, 2, 2, 0, 3, 4, 3, 2, 2, 1, 4, 1, 0, 0, 1, 2, 0, 0, 4, 2, 1, 3, 0, 4, 4, 1, 3, 2, 3, 0, 0, 0, 0, 1, 3, 2, 4, 4, 0, 0, 4, 4, 4, 1, 4, 4, 4, 1, 0, 4, 4, 3, 4, 4, 1, 3, 1, 0, 2, 3, 3, 3]
pubkeycol930 = [3, 3, 3, 2, 3, 4, 0, 2, 1, 2, 2, 2, 4, 0, 4, 1, 1, 0, 4, 2, 3, 3, 2, 1, 3, 0, 1, 3, 2, 4, 1, 0, 0, 3, 4, 2, 1, 1, 2, 0, 1, 3, 1, 1, 2, 3, 0, 3, 2, 2, 3, 0, 3, 4, 0, 0, 4, 0, 4, 4, 2, 2, 1, 1, 0, 1, 0, 4, 2, 0, 0, 1, 1, 4, 2, 1, 4, 0, 2, 3, 2, 3, 1, 0, 0, 3, 2, 0, 3, 1, 1, 3, 2, 0, 0, 3, 0, 0, 4, 0, 4, 0, 1, 2, 2, 0, 1, 3, 3, 3, 4, 1, 0, 1, 0, 0, 0, 4, 1, 3, 1, 4, 2, 1, 3, 2, 3, 1, 2, 3, 2, 4, 0, 2, 1, 3, 3, 4, 2, 3, 2, 1, 1, 1, 3, 2, 4, 3, 2, 1, 2, 4, 1, 4, 3, 2, 1, 0, 1, 1, 2, 2, 0, 3, 3, 4, 4, 4, 0, 0, 1, 3, 1, 3, 0, 4, 3, 0, 4, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 3, 3, 4, 2, 4, 4, 3, 4, 0, 0, 1, 0, 3, 4, 1, 2, 1, 2, 2, 2, 3, 1, 0, 1, 0, 4, 1, 3, 2, 1, 4, 3, 0, 1, 4, 2, 4, 0, 2, 1, 4, 4, 3, 0, 1, 1, 3, 1, 0, 4, 3, 1, 2, 2, 3, 3, 4, 2, 0, 3, 1, 4, 4, 4, 4, 0, 1, 1, 2, 1, 3, 4, 0, 2, 4, 4, 4, 2, 0, 3, 1, 3, 3, 4, 2, 3, 0, 2, 2, 0, 2, 3, 4, 2, 3, 2, 3, 2, 2, 1, 1, 4, 0, 1, 0, 3, 0, 2, 2, 1, 3, 0, 3, 2, 4, 2, 1, 0, 4, 4, 0, 0, 4, 3, 0, 0, 2, 3, 1, 2, 1, 0, 0, 2, 4, 0, 0, 1, 2, 1, 1, 2, 1, 3, 0, 0, 3, 3, 1, 4, 3, 2, 2, 4, 1, 0, 4, 0, 2, 3, 2, 4, 1, 4, 0, 0, 1, 2, 1, 0, 4, 4, 2, 2, 4, 2, 0, 3, 0, 3, 2, 2, 2, 1, 3, 2, 4, 1, 0, 4, 3, 0, 3, 4, 1, 4, 4, 1, 0, 1, 1, 0, 4, 4, 1]
pubkeycol931 = [2, 0, 1, 0, 3, 1, 2, 3, 4, 2, 1, 3, 3, 0, 0, 3, 0, 0, 1, 4, 0, 3, 0, 0, 4, 3, 4, 3, 3, 3, 4, 0, 0, 1, 4, 4, 2, 0, 3, 3, 2, 0, 2, 0, 4, 2, 4, 1, 4, 1, 0, 4, 3, 3, 1, 3, 3, 1, 3, 4, 4, 3, 4, 0, 1, 2, 1, 3, 1, 4, 4, 3, 1, 3, 0, 0, 2, 4, 1, 1, 4, 0, 1, 3, 4, 0, 2, 3, 4, 2, 2, 4, 1, 1, 1, 1, 1, 4, 2, 3, 3, 1, 2, 1, 0, 4, 1, 1, 0, 1, 2, 3, 3, 4, 2, 2, 2, 2, 1, 1, 3, 1, 1, 1, 0, 0, 2, 3, 2, 2, 0, 4, 1, 1, 4, 0, 4, 4, 2, 2, 2, 0, 4, 4, 1, 4, 1, 3, 3, 3, 1, 1, 1, 2, 4, 0, 3, 2, 2, 0, 4, 3, 1, 1, 1, 1, 2, 4, 0, 1, 2, 0, 0, 4, 4, 3, 0, 2, 3, 1, 3, 2, 2, 3, 4, 3, 4, 0, 0, 2, 2, 0, 4, 0, 4, 4, 0, 3, 2, 1, 0, 4, 1, 3, 3, 1, 1, 1, 4, 1, 4, 2, 3, 3, 3, 4, 4, 3, 4, 1, 1, 2, 0, 1, 3, 0, 1, 2, 2, 4, 0, 1, 0, 2, 1, 0, 1, 4, 0, 3, 0, 0, 3, 1, 0, 1, 4, 4, 0, 1, 0, 2, 0, 4, 0, 1, 1, 2, 2, 3, 1, 0, 0, 3, 0, 3, 0, 2, 3, 3, 2, 3, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 4, 2, 0, 4, 4, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 4, 2, 2, 1, 2, 2, 1, 2, 0, 4, 2, 3, 0, 4, 4, 2, 4, 1, 3, 3, 4, 3, 0, 3, 2, 1, 1, 0, 2, 1, 1, 4, 4, 3, 3, 1, 4, 3, 4, 4, 1, 1, 0, 4, 2, 0, 0, 0, 3, 3, 4, 0, 0, 2, 4, 0, 1, 4, 4, 1, 0, 1, 3, 3, 1, 2, 0, 3, 1, 1, 2, 1, 1, 3, 0, 1, 1, 1, 0, 3, 1, 4, 1, 2, 3, 2, 2, 0, 0, 1, 4, 2, 0, 1, 2, 0, 0, 4, 3, 0, 2, 4]
pubkeycol932 = [0, 4, 4, 3, 2, 0, 2, 4, 0, 4, 3, 4, 1, 1, 3, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 2, 0, 4, 3, 4, 4, 1, 4, 4, 4, 1, 4, 2, 0, 3, 3, 2, 0, 2, 0, 3, 4, 1, 2, 1, 0, 1, 4, 2, 4, 2, 1, 4, 3, 0, 1, 0, 0, 1, 4, 0, 4, 4, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 3, 3, 0, 2, 0, 4, 2, 0, 4, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 3, 3, 0, 0, 0, 4, 4, 0, 2, 2, 3, 0, 1, 0, 2, 0, 0, 1, 4, 3, 0, 3, 1, 2, 2, 0, 1, 1, 4, 2, 2, 2, 4, 0, 4, 1, 2, 0, 0, 0, 4, 0, 4, 3, 0, 2, 4, 3, 1, 3, 0, 0, 3, 2, 4, 3, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 3, 3, 4, 3, 1, 0, 0, 4, 2, 0, 2, 2, 1, 4, 0, 1, 3, 1, 2, 1, 4, 3, 4, 1, 3, 4, 2, 1, 1, 4, 0, 1, 0, 3, 1, 3, 3, 0, 1, 4, 2, 2, 2, 2, 0, 0, 4, 0, 3, 2, 4, 2, 3, 1, 1, 2, 2, 2, 0, 4, 1, 3, 3, 0, 3, 0, 3, 2, 2, 4, 3, 0, 4, 2, 1, 0, 4, 1, 2, 1, 4, 3, 3, 3, 1, 2, 2, 0, 0, 4, 4, 2, 3, 3, 0, 1, 2, 0, 3, 2, 0, 3, 2, 4, 2, 4, 0, 4, 3, 1, 0, 4, 3, 1, 1, 4, 2, 2, 4, 2, 1, 4, 4, 4, 4, 1, 2, 1, 1, 1, 1, 1, 1, 3, 4, 0, 4, 4, 3, 0, 1, 0, 3, 2, 2, 0, 1, 0, 1, 1, 1, 3, 3, 2, 1, 0, 0, 3, 0, 2, 2, 2, 1, 3, 3, 3, 0, 4, 2, 2, 1, 4, 2, 2, 1, 1, 2, 0, 1, 2, 4, 3, 3, 4, 2, 2, 2, 4, 2, 3, 2, 2, 3, 4, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 0, 2, 4, 3, 2, 3, 3, 2, 4, 0, 0, 4, 3, 2, 3, 4, 2, 4, 3, 4, 0, 2, 3, 0, 0, 0, 0, 4, 2, 4]
pubkeycol933 = [1, 1, 2, 3, 0, 1, 2, 4, 1, 0, 2, 3, 4, 4, 0, 0, 0, 1, 1, 2, 0, 2, 0, 3, 2, 2, 0, 2, 0, 1, 0, 1, 4, 4, 2, 0, 3, 3, 2, 3, 3, 4, 2, 1, 3, 0, 2, 1, 3, 2, 4, 0, 2, 3, 3, 3, 4, 1, 3, 4, 1, 4, 4, 4, 0, 1, 4, 3, 0, 0, 3, 1, 3, 3, 3, 3, 0, 2, 3, 0, 0, 4, 3, 4, 4, 0, 2, 0, 0, 4, 0, 2, 3, 2, 0, 0, 0, 4, 0, 3, 2, 1, 0, 3, 4, 4, 0, 2, 4, 3, 0, 3, 2, 3, 1, 2, 2, 1, 4, 3, 3, 1, 3, 1, 4, 3, 1, 2, 2, 2, 1, 0, 3, 4, 0, 2, 1, 3, 1, 4, 4, 4, 3, 1, 3, 4, 0, 4, 4, 1, 3, 0, 1, 4, 3, 1, 2, 1, 0, 3, 2, 1, 0, 1, 2, 2, 0, 0, 4, 4, 0, 0, 0, 4, 3, 4, 1, 0, 3, 3, 4, 0, 4, 3, 1, 0, 1, 3, 0, 2, 3, 3, 1, 2, 3, 1, 3, 2, 2, 1, 4, 3, 2, 3, 3, 1, 1, 2, 0, 1, 4, 2, 1, 1, 2, 1, 4, 3, 3, 0, 0, 4, 3, 4, 1, 3, 1, 3, 4, 2, 3, 0, 1, 3, 2, 4, 2, 3, 0, 0, 2, 4, 1, 3, 0, 4, 2, 4, 4, 3, 1, 4, 1, 0, 1, 0, 0, 4, 4, 4, 3, 4, 0, 3, 0, 0, 1, 3, 2, 2, 2, 4, 0, 1, 4, 3, 2, 0, 0, 4, 2, 3, 2, 4, 0, 2, 3, 3, 0, 0, 3, 0, 3, 0, 2, 0, 3, 1, 1, 3, 4, 2, 0, 0, 4, 4, 3, 0, 4, 2, 4, 4, 4, 0, 2, 3, 3, 2, 4, 0, 3, 3, 3, 0, 1, 0, 2, 4, 3, 1, 3, 4, 2, 3, 1, 2, 2, 2, 2, 3, 2, 4, 2, 4, 2, 1, 1, 1, 3, 3, 3, 2, 4, 2, 0, 3, 4, 4, 0, 0, 3, 2, 2, 0, 3, 3, 0, 3, 0, 2, 4, 0, 0, 0, 3, 3, 4, 2, 1, 3, 1, 0, 1, 0, 3, 0, 0, 4, 3, 0, 3, 4, 2, 4, 0, 0, 2, 4, 2, 1]
pubkeycol934 = [2, 0, 4, 4, 2, 3, 1, 1, 4, 3, 4, 4, 3, 2, 3, 3, 3, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 4, 2, 2, 2, 3, 4, 1, 4, 4, 3, 3, 1, 3, 2, 0, 3, 4, 3, 2, 0, 3, 4, 4, 1, 3, 4, 1, 4, 4, 2, 0, 2, 1, 0, 1, 1, 3, 1, 3, 4, 1, 0, 0, 2, 1, 1, 2, 3, 3, 2, 3, 0, 0, 3, 2, 1, 2, 0, 0, 4, 3, 3, 4, 1, 0, 1, 3, 2, 3, 3, 2, 2, 1, 0, 0, 1, 3, 0, 0, 2, 3, 1, 0, 2, 0, 4, 0, 1, 2, 2, 0, 1, 1, 4, 2, 0, 0, 3, 4, 0, 2, 2, 3, 4, 0, 1, 1, 4, 4, 3, 2, 0, 1, 0, 4, 4, 2, 2, 3, 4, 2, 3, 3, 3, 1, 3, 1, 4, 2, 1, 4, 2, 1, 2, 3, 1, 2, 4, 0, 1, 3, 3, 3, 2, 2, 0, 0, 2, 1, 3, 1, 4, 1, 4, 1, 1, 1, 2, 3, 0, 3, 4, 0, 3, 3, 3, 4, 1, 4, 0, 0, 3, 4, 1, 4, 2, 0, 2, 2, 4, 1, 2, 3, 3, 1, 0, 3, 1, 1, 3, 0, 2, 0, 3, 3, 3, 1, 4, 3, 2, 4, 3, 4, 2, 2, 1, 1, 0, 4, 0, 0, 0, 0, 1, 1, 0, 0, 4, 0, 4, 1, 4, 0, 4, 4, 1, 4, 1, 2, 0, 2, 1, 3, 3, 0, 4, 0, 0, 0, 2, 4, 2, 3, 0, 1, 3, 0, 0, 0, 3, 3, 3, 1, 1, 0, 4, 2, 2, 3, 2, 0, 4, 4, 4, 3, 0, 1, 1, 4, 3, 4, 4, 0, 0, 3, 2, 1, 4, 3, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 4, 1, 0, 2, 3, 0, 3, 0, 1, 0, 4, 0, 2, 3, 3, 3, 1, 2, 0, 0, 0, 3, 1, 3, 0, 3, 1, 3, 3, 1, 4, 1, 1, 3, 0, 2, 0, 3, 4, 4, 0, 2, 0, 0, 3, 0, 4, 1, 0, 0, 1, 2, 4, 4, 2, 2, 3, 0, 2, 1, 2, 2, 0, 2, 0, 3, 3, 2, 0, 4, 0, 3, 0, 0, 2, 0, 3, 4, 3, 4, 4, 0, 1]
pubkeycol935 = [0, 0, 4, 3, 4, 0, 0, 2, 1, 4, 1, 4, 1, 3, 0, 3, 0, 2, 2, 1, 4, 3, 4, 0, 1, 1, 0, 3, 1, 2, 1, 1, 2, 4, 2, 1, 4, 4, 4, 3, 1, 0, 3, 3, 1, 4, 2, 2, 2, 0, 2, 4, 3, 3, 1, 4, 3, 4, 2, 2, 2, 4, 4, 4, 2, 3, 0, 0, 0, 1, 3, 0, 1, 1, 1, 0, 4, 4, 3, 1, 1, 2, 1, 0, 1, 4, 0, 2, 4, 1, 0, 3, 2, 4, 4, 1, 1, 3, 2, 1, 3, 0, 1, 0, 4, 4, 1, 0, 1, 2, 0, 2, 0, 3, 1, 4, 0, 2, 2, 4, 2, 4, 2, 2, 0, 3, 0, 1, 3, 4, 4, 1, 3, 4, 2, 3, 0, 0, 4, 0, 4, 1, 3, 3, 0, 1, 3, 2, 2, 3, 4, 3, 4, 3, 2, 2, 4, 3, 1, 2, 4, 0, 2, 4, 1, 0, 4, 4, 1, 0, 4, 1, 4, 3, 4, 2, 0, 3, 2, 1, 2, 0, 1, 4, 3, 3, 3, 3, 4, 4, 1, 1, 4, 2, 0, 4, 1, 4, 4, 1, 4, 0, 4, 3, 0, 4, 1, 2, 1, 2, 1, 1, 4, 4, 4, 4, 4, 2, 0, 0, 0, 0, 4, 3, 2, 2, 2, 2, 0, 2, 1, 2, 1, 3, 0, 4, 0, 4, 0, 2, 2, 0, 3, 2, 3, 4, 0, 3, 2, 1, 2, 2, 3, 3, 3, 1, 0, 3, 2, 0, 0, 2, 3, 0, 3, 2, 2, 2, 2, 1, 2, 1, 2, 3, 3, 2, 0, 0, 0, 0, 4, 4, 2, 3, 1, 1, 1, 2, 3, 0, 1, 1, 2, 2, 4, 1, 2, 4, 2, 0, 3, 0, 4, 3, 1, 1, 0, 1, 2, 3, 4, 3, 0, 4, 1, 2, 3, 0, 4, 3, 0, 3, 4, 3, 2, 4, 2, 0, 4, 2, 3, 0, 1, 3, 4, 0, 1, 1, 0, 2, 3, 3, 0, 2, 0, 0, 3, 1, 4, 0, 1, 3, 1, 0, 4, 1, 4, 0, 3, 0, 4, 0, 4, 0, 0, 0, 4, 2, 0, 2, 2, 4, 1, 3, 1, 4, 3, 4, 1, 0, 1, 4, 0, 1, 2, 4, 3, 2, 3, 3, 1, 4, 0, 3, 1, 1, 3, 4, 2, 1]
pubkeycol936 = [0, 1, 3, 1, 4, 4, 1, 4, 2, 3, 1, 4, 3, 0, 3, 3, 2, 1, 0, 2, 0, 4, 1, 1, 2, 0, 1, 2, 1, 4, 2, 1, 0, 3, 1, 4, 3, 3, 2, 4, 1, 2, 1, 2, 2, 1, 1, 4, 3, 2, 3, 4, 3, 2, 3, 2, 3, 4, 2, 1, 3, 0, 3, 0, 2, 2, 2, 4, 0, 4, 0, 2, 0, 4, 1, 3, 4, 3, 3, 2, 2, 1, 4, 2, 3, 3, 3, 3, 2, 2, 3, 0, 3, 4, 0, 4, 1, 1, 2, 0, 4, 3, 1, 0, 2, 3, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 3, 2, 4, 2, 4, 4, 3, 2, 2, 2, 0, 1, 0, 4, 0, 1, 4, 4, 4, 4, 2, 1, 4, 3, 1, 4, 0, 0, 1, 4, 3, 1, 0, 2, 3, 0, 3, 4, 1, 0, 2, 3, 2, 0, 2, 4, 4, 2, 4, 2, 2, 1, 1, 0, 0, 4, 1, 4, 3, 1, 3, 3, 0, 1, 3, 4, 4, 0, 1, 3, 0, 1, 4, 3, 3, 1, 3, 0, 1, 4, 1, 0, 4, 4, 0, 4, 3, 4, 3, 2, 4, 2, 3, 3, 2, 0, 4, 3, 2, 3, 2, 4, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 4, 2, 2, 4, 4, 0, 0, 4, 1, 1, 1, 4, 3, 3, 0, 0, 4, 1, 0, 3, 4, 2, 0, 3, 3, 3, 4, 4, 2, 2, 3, 4, 2, 4, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 4, 4, 2, 4, 3, 3, 4, 0, 4, 1, 0, 1, 1, 4, 0, 0, 0, 2, 0, 3, 3, 2, 0, 3, 3, 0, 3, 0, 3, 4, 0, 1, 2, 3, 4, 0, 3, 3, 1, 3, 2, 2, 4, 0, 0, 1, 0, 2, 4, 2, 1, 3, 2, 0, 2, 1, 1, 4, 1, 4, 2, 0, 4, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 3, 2, 0, 2, 4, 4, 4, 2, 2, 3, 2, 0, 2, 0, 4, 0, 4, 1, 1, 0, 1, 3, 2, 2, 4, 1, 2, 2, 3, 4, 3, 3, 4, 4, 2, 3, 2, 0, 3, 4, 3]
pubkeycol937 = [4, 1, 2, 1, 1, 0, 2, 4, 1, 3, 0, 0, 3, 2, 4, 3, 0, 1, 0, 1, 4, 3, 2, 3, 1, 4, 1, 4, 1, 2, 2, 0, 1, 0, 0, 0, 3, 1, 1, 4, 2, 3, 4, 1, 0, 3, 1, 1, 0, 4, 4, 3, 3, 4, 4, 3, 3, 2, 0, 3, 3, 0, 4, 4, 2, 4, 1, 3, 0, 2, 1, 0, 3, 2, 2, 4, 4, 2, 2, 4, 4, 1, 2, 0, 3, 3, 4, 4, 1, 2, 1, 4, 2, 1, 4, 4, 2, 0, 0, 0, 2, 2, 4, 0, 1, 2, 4, 3, 0, 2, 2, 0, 3, 4, 4, 0, 2, 2, 0, 1, 4, 3, 1, 4, 4, 2, 2, 1, 4, 4, 2, 0, 2, 1, 2, 2, 0, 3, 4, 1, 3, 3, 2, 1, 3, 2, 4, 0, 2, 2, 0, 1, 4, 4, 3, 4, 4, 0, 0, 0, 1, 4, 2, 1, 4, 0, 0, 3, 1, 3, 2, 4, 4, 2, 0, 3, 3, 2, 2, 0, 3, 1, 4, 2, 1, 4, 0, 0, 2, 2, 2, 2, 1, 4, 0, 2, 0, 4, 4, 4, 3, 1, 0, 1, 1, 1, 3, 0, 0, 4, 4, 1, 4, 4, 2, 3, 3, 0, 1, 4, 2, 4, 1, 1, 0, 2, 0, 1, 4, 1, 3, 1, 1, 1, 0, 0, 3, 4, 3, 0, 4, 1, 1, 2, 2, 1, 0, 0, 1, 0, 3, 1, 3, 4, 3, 4, 4, 0, 3, 1, 2, 4, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 4, 2, 4, 2, 3, 4, 1, 2, 1, 4, 0, 4, 1, 1, 1, 3, 4, 0, 2, 3, 0, 2, 3, 3, 4, 0, 0, 3, 1, 3, 0, 1, 1, 4, 0, 3, 4, 0, 3, 2, 1, 4, 4, 2, 0, 0, 3, 3, 2, 0, 3, 0, 4, 4, 3, 3, 0, 1, 2, 3, 2, 2, 3, 3, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 4, 2, 0, 4, 1, 0, 0, 4, 3, 1, 0, 0, 2, 3, 4, 1, 3, 0, 1, 1, 2, 1, 2, 4, 1, 2, 0, 1, 3, 3, 1, 0, 1, 0, 4, 2, 1, 1, 4, 0, 1, 1, 2, 4, 1, 1, 4, 3, 1, 0, 3, 3, 1, 2]
pubkeycol938 = [4, 1, 0, 2, 1, 3, 4, 4, 0, 1, 2, 2, 4, 2, 4, 2, 0, 1, 1, 1, 2, 2, 4, 2, 2, 3, 3, 1, 0, 3, 1, 4, 3, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 3, 0, 3, 4, 3, 0, 2, 0, 1, 1, 2, 4, 0, 0, 0, 3, 0, 4, 0, 4, 0, 1, 1, 4, 4, 0, 2, 1, 1, 0, 3, 1, 3, 4, 0, 2, 3, 1, 1, 3, 2, 4, 1, 4, 2, 1, 0, 2, 3, 0, 2, 1, 0, 3, 2, 1, 2, 2, 4, 3, 0, 4, 0, 3, 3, 2, 4, 4, 2, 1, 4, 4, 4, 4, 1, 1, 4, 0, 2, 3, 0, 4, 1, 0, 2, 3, 4, 1, 0, 3, 1, 3, 2, 4, 0, 4, 2, 2, 3, 2, 2, 4, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 4, 3, 1, 3, 0, 3, 2, 0, 2, 2, 1, 4, 0, 3, 2, 2, 1, 3, 0, 4, 0, 3, 3, 2, 3, 1, 1, 2, 4, 4, 0, 2, 4, 3, 1, 2, 2, 1, 0, 2, 3, 1, 3, 1, 4, 4, 1, 0, 4, 3, 1, 3, 4, 4, 3, 1, 3, 4, 2, 2, 1, 1, 4, 4, 1, 4, 2, 2, 3, 0, 4, 1, 0, 3, 1, 4, 3, 1, 3, 0, 3, 2, 0, 2, 2, 1, 0, 3, 1, 4, 3, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 3, 2, 4, 0, 0, 3, 4, 0, 4, 0, 1, 3, 0, 1, 0, 1, 4, 2, 3, 3, 3, 4, 0, 3, 0, 0, 0, 4, 2, 3, 4, 4, 3, 4, 3, 0, 0, 1, 0, 3, 0, 2, 2, 0, 0, 1, 2, 1, 3, 2, 0, 3, 3, 4, 2, 1, 1, 2, 2, 2, 1, 3, 3, 1, 4, 3, 3, 1, 1, 3, 0, 1, 4, 0, 2, 3, 2, 2, 2, 0, 2, 2, 0, 3, 2, 1, 2, 0, 3, 3, 3, 3, 3, 3, 1, 2, 4, 2, 4, 0, 0, 3, 0, 2, 0, 0, 0, 4, 3, 1, 1, 0, 2, 3, 2, 2, 1, 0, 1, 0, 4, 2, 1, 4, 2, 3, 3, 4, 2, 0, 4, 3, 3, 0, 2, 3, 4, 4, 2, 0]
pubkeycol939 = [2, 4, 2, 2, 2, 4, 1, 2, 4, 4, 4, 4, 0, 3, 3, 1, 0, 4, 4, 4, 4, 3, 1, 0, 2, 3, 2, 2, 1, 2, 1, 2, 4, 0, 2, 2, 4, 0, 4, 2, 4, 0, 1, 3, 0, 2, 3, 1, 3, 1, 2, 1, 0, 1, 4, 3, 4, 4, 2, 4, 0, 4, 3, 0, 1, 1, 3, 0, 2, 4, 1, 0, 1, 0, 3, 1, 2, 1, 0, 1, 4, 2, 0, 1, 2, 1, 2, 1, 3, 2, 4, 2, 2, 2, 1, 0, 1, 2, 2, 4, 0, 3, 0, 1, 4, 1, 2, 3, 0, 3, 0, 2, 4, 0, 0, 3, 0, 2, 3, 4, 1, 3, 1, 3, 3, 2, 2, 3, 1, 1, 4, 2, 2, 4, 2, 2, 0, 4, 4, 4, 1, 3, 4, 3, 3, 2, 1, 4, 1, 2, 0, 1, 4, 1, 2, 3, 0, 3, 3, 1, 3, 0, 1, 4, 1, 4, 0, 2, 0, 3, 0, 4, 4, 2, 4, 3, 4, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 1, 4, 1, 3, 2, 3, 3, 0, 1, 3, 0, 1, 2, 1, 4, 4, 0, 1, 4, 0, 3, 0, 4, 2, 3, 3, 2, 0, 0, 2, 1, 4, 3, 3, 0, 1, 0, 0, 2, 1, 4, 2, 0, 3, 4, 0, 2, 4, 2, 1, 4, 2, 2, 4, 0, 3, 0, 1, 2, 0, 4, 2, 1, 4, 1, 3, 0, 2, 1, 1, 2, 1, 0, 4, 1, 2, 4, 0, 1, 1, 4, 2, 1, 1, 3, 2, 2, 4, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 3, 3, 3, 0, 4, 3, 0, 4, 0, 0, 0, 0, 2, 1, 3, 2, 1, 4, 0, 4, 2, 2, 4, 2, 0, 3, 1, 4, 0, 3, 1, 1, 0, 3, 0, 2, 2, 2, 3, 0, 4, 3, 3, 2, 0, 0, 1, 2, 2, 1, 4, 2, 0, 4, 0, 4, 4, 3, 1, 0, 3, 3, 4, 1, 4, 4, 4, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 4, 2, 1, 2, 2, 1, 3, 2, 1, 0, 1, 3, 4, 4, 2, 3, 2, 1, 2, 1, 2, 0, 0, 2, 1, 3, 1, 0]
pubkeycol940 = [3, 1, 2, 1, 4, 2, 3, 2, 3, 4, 4, 0, 0, 2, 1, 2, 3, 3, 1, 2, 3, 3, 0, 2, 4, 3, 3, 3, 4, 0, 4, 1, 3, 4, 0, 4, 0, 2, 1, 4, 2, 0, 0, 4, 3, 0, 4, 4, 3, 1, 0, 2, 2, 2, 2, 0, 1, 4, 2, 2, 2, 3, 3, 4, 1, 1, 4, 2, 4, 3, 4, 0, 2, 3, 4, 3, 3, 1, 0, 4, 3, 4, 2, 1, 3, 1, 0, 2, 3, 1, 4, 0, 1, 2, 3, 2, 1, 1, 1, 0, 3, 3, 2, 4, 4, 0, 4, 3, 1, 3, 2, 3, 2, 1, 1, 1, 3, 1, 1, 3, 4, 1, 4, 0, 3, 0, 0, 4, 1, 4, 0, 1, 3, 1, 2, 2, 2, 4, 2, 0, 0, 4, 0, 3, 1, 2, 4, 4, 4, 1, 1, 1, 3, 0, 2, 0, 2, 1, 3, 3, 3, 3, 4, 4, 4, 3, 0, 4, 0, 4, 4, 1, 1, 4, 1, 3, 4, 2, 2, 3, 1, 4, 0, 1, 2, 4, 1, 2, 0, 0, 3, 3, 0, 3, 4, 2, 2, 1, 0, 4, 4, 0, 2, 0, 2, 1, 0, 0, 4, 4, 1, 0, 2, 1, 2, 4, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 2, 0, 0, 1, 4, 3, 0, 0, 2, 1, 4, 1, 1, 1, 3, 3, 3, 4, 3, 4, 4, 1, 2, 3, 0, 0, 4, 3, 1, 3, 4, 2, 0, 2, 4, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 4, 4, 0, 3, 1, 1, 2, 2, 2, 0, 4, 0, 1, 2, 4, 3, 3, 2, 4, 4, 4, 4, 2, 0, 4, 2, 4, 1, 3, 4, 0, 1, 1, 3, 2, 2, 2, 0, 4, 0, 2, 1, 1, 2, 0, 1, 3, 3, 3, 0, 1, 3, 4, 1, 2, 1, 1, 3, 4, 3, 4, 4, 1, 0, 3, 1, 0, 2, 1, 2, 4, 0, 3, 1, 0, 2, 1, 4, 4, 4, 0, 2, 3, 1, 3, 0, 1, 3, 2, 2, 3, 1, 1, 2, 3, 4, 2, 1, 0, 3, 4, 4, 1, 3, 2, 3, 1, 2, 0, 1, 0, 1, 4, 0, 2, 0, 0, 3, 4, 3, 3, 4, 0, 1, 3, 4]
pubkeycol941 = [4, 4, 1, 2, 1, 3, 1, 4, 0, 4, 4, 4, 2, 0, 1, 2, 2, 3, 1, 3, 0, 4, 1, 2, 2, 2, 4, 4, 0, 0, 1, 4, 0, 0, 1, 3, 2, 3, 4, 3, 2, 0, 1, 4, 1, 4, 4, 2, 4, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 3, 3, 2, 0, 3, 4, 0, 1, 1, 3, 1, 3, 1, 2, 2, 3, 4, 2, 4, 1, 2, 4, 4, 4, 3, 4, 0, 1, 0, 0, 2, 2, 4, 4, 3, 4, 0, 0, 0, 3, 2, 3, 2, 3, 3, 2, 2, 2, 4, 0, 1, 2, 2, 4, 2, 3, 0, 0, 2, 3, 3, 3, 3, 4, 3, 4, 1, 3, 4, 4, 2, 4, 1, 4, 2, 1, 3, 3, 1, 1, 1, 3, 3, 0, 4, 3, 2, 0, 1, 4, 2, 0, 0, 4, 1, 4, 2, 0, 1, 4, 3, 3, 1, 0, 0, 4, 1, 3, 4, 3, 0, 1, 0, 4, 1, 1, 1, 2, 1, 2, 1, 2, 0, 3, 0, 2, 3, 2, 4, 4, 4, 3, 4, 2, 2, 3, 1, 1, 1, 3, 3, 3, 2, 4, 4, 4, 1, 4, 2, 4, 2, 1, 0, 3, 4, 0, 2, 4, 1, 0, 4, 0, 3, 2, 0, 1, 3, 1, 4, 1, 1, 3, 1, 1, 0, 0, 3, 3, 4, 3, 2, 1, 0, 3, 4, 0, 3, 4, 0, 4, 4, 1, 3, 1, 0, 4, 3, 3, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 0, 3, 1, 0, 3, 0, 3, 3, 2, 2, 4, 3, 4, 4, 2, 0, 3, 2, 0, 0, 0, 4, 0, 4, 0, 4, 1, 1, 4, 3, 2, 4, 2, 4, 1, 4, 2, 4, 2, 3, 3, 3, 0, 0, 0, 4, 1, 3, 0, 2, 2, 2, 1, 4, 3, 4, 4, 0, 4, 3, 3, 1, 1, 3, 4, 2, 4, 0, 0, 2, 0, 3, 0, 0, 1, 3, 4, 1, 1, 1, 1, 2, 1, 2, 0, 2, 3, 2, 3, 0, 0, 3, 0, 1, 3, 4, 0, 1, 3, 4, 0, 2, 3, 1, 0, 3, 0, 0, 0, 0, 2, 1, 4, 0, 4, 3, 1, 0, 1, 3, 2, 1, 2, 2, 1, 2, 3, 1, 0, 2, 4]
pubkeycol942 = [2, 3, 0, 1, 0, 2, 1, 4, 3, 3, 3, 4, 2, 4, 0, 1, 4, 2, 2, 1, 2, 3, 2, 1, 1, 3, 3, 4, 1, 4, 2, 1, 3, 1, 3, 4, 3, 4, 3, 3, 1, 3, 2, 0, 1, 2, 4, 2, 4, 2, 2, 2, 0, 0, 2, 1, 4, 2, 0, 1, 2, 2, 4, 1, 4, 4, 3, 4, 0, 3, 1, 3, 1, 2, 2, 3, 3, 0, 0, 3, 3, 1, 3, 3, 1, 1, 4, 2, 1, 0, 1, 0, 0, 1, 2, 0, 3, 3, 2, 2, 1, 2, 2, 4, 3, 4, 2, 2, 1, 4, 0, 1, 4, 1, 3, 0, 2, 4, 0, 3, 2, 3, 1, 0, 1, 1, 4, 2, 3, 0, 1, 2, 3, 4, 4, 4, 4, 0, 4, 4, 2, 0, 4, 0, 4, 0, 2, 3, 1, 0, 3, 0, 4, 0, 1, 4, 0, 1, 4, 0, 3, 2, 4, 0, 4, 4, 1, 2, 0, 0, 1, 1, 3, 4, 2, 3, 2, 0, 4, 0, 4, 0, 1, 4, 2, 0, 4, 4, 0, 0, 2, 2, 4, 1, 2, 4, 3, 1, 4, 3, 0, 3, 2, 1, 0, 1, 3, 0, 4, 4, 3, 4, 2, 0, 0, 2, 2, 4, 1, 2, 2, 0, 4, 0, 2, 3, 0, 2, 4, 3, 4, 1, 1, 1, 0, 2, 4, 4, 1, 2, 1, 1, 1, 1, 4, 1, 3, 2, 2, 3, 4, 4, 2, 3, 3, 2, 3, 2, 4, 0, 0, 3, 0, 0, 2, 0, 3, 0, 0, 0, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 3, 0, 3, 3, 3, 2, 0, 3, 1, 0, 1, 3, 4, 0, 0, 3, 2, 1, 1, 3, 0, 2, 4, 2, 1, 3, 0, 3, 0, 3, 4, 2, 1, 0, 1, 1, 4, 2, 3, 4, 1, 3, 3, 0, 0, 3, 4, 0, 4, 0, 3, 3, 3, 2, 3, 2, 4, 1, 4, 4, 4, 2, 1, 0, 1, 2, 0, 3, 0, 1, 4, 2, 0, 1, 4, 3, 1, 3, 4, 1, 3, 2, 0, 4, 3, 0, 2, 4, 4, 2, 2, 3, 2, 2, 0, 1, 1, 3, 0, 0, 0, 3, 1, 1, 3, 2, 1, 3, 1, 0, 2, 1, 3, 1, 2, 3, 4, 3, 3, 2]
pubkeycol943 = [1, 2, 3, 0, 4, 3, 1, 0, 1, 1, 3, 1, 2, 1, 2, 3, 4, 3, 2, 1, 2, 2, 0, 3, 4, 4, 0, 3, 3, 0, 3, 3, 0, 2, 4, 3, 4, 1, 3, 0, 1, 1, 3, 4, 2, 0, 3, 0, 4, 3, 2, 4, 1, 4, 1, 1, 0, 2, 4, 0, 3, 0, 1, 4, 2, 2, 1, 4, 1, 0, 0, 2, 0, 2, 1, 3, 3, 3, 3, 2, 3, 4, 4, 1, 2, 4, 0, 0, 2, 1, 1, 0, 2, 3, 0, 3, 2, 0, 4, 4, 0, 0, 0, 4, 3, 3, 3, 1, 4, 2, 2, 0, 0, 2, 3, 0, 3, 2, 1, 3, 1, 1, 4, 4, 1, 4, 3, 2, 2, 3, 0, 3, 4, 2, 3, 3, 2, 2, 2, 3, 2, 0, 1, 0, 0, 3, 0, 1, 4, 3, 3, 3, 2, 1, 3, 1, 2, 0, 0, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 4, 0, 1, 1, 4, 1, 1, 0, 3, 1, 3, 2, 4, 4, 3, 3, 0, 1, 3, 0, 2, 2, 4, 4, 4, 3, 0, 2, 4, 0, 0, 4, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 0, 4, 4, 4, 0, 4, 2, 0, 0, 1, 0, 2, 0, 4, 1, 0, 3, 3, 4, 1, 4, 2, 3, 2, 4, 4, 3, 0, 3, 0, 3, 1, 1, 4, 3, 4, 0, 2, 4, 3, 3, 4, 1, 3, 4, 1, 3, 0, 4, 4, 2, 1, 3, 0, 4, 0, 1, 2, 1, 3, 0, 3, 4, 2, 2, 0, 4, 4, 0, 1, 4, 1, 3, 3, 4, 4, 2, 1, 2, 0, 4, 2, 3, 2, 1, 0, 3, 4, 2, 2, 3, 3, 3, 0, 3, 4, 0, 1, 3, 1, 2, 4, 4, 1, 0, 2, 4, 1, 3, 0, 2, 2, 1, 4, 4, 4, 1, 4, 0, 1, 1, 0, 3, 0, 0, 0, 1, 1, 1, 4, 0, 0, 3, 0, 2, 3, 0, 3, 4, 2, 1, 2, 0, 2, 4, 1, 3, 4, 1, 1, 2, 3, 2, 3, 0, 2, 3, 4, 1, 4, 4, 3, 2, 2, 3, 3, 1, 0, 1, 0, 3, 1, 1, 1, 3, 3, 3, 0, 2, 3, 3, 1, 4, 1, 0]
pubkeycol944 = [4, 1, 1, 3, 4, 1, 4, 3, 2, 0, 2, 0, 1, 2, 1, 3, 0, 4, 1, 4, 0, 3, 3, 3, 2, 4, 0, 3, 0, 4, 1, 1, 3, 0, 4, 0, 3, 0, 3, 3, 0, 4, 2, 4, 1, 2, 0, 1, 1, 0, 4, 0, 2, 0, 0, 2, 1, 4, 0, 1, 1, 4, 4, 1, 1, 3, 1, 1, 0, 0, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 2, 3, 2, 4, 0, 0, 0, 0, 0, 1, 2, 4, 2, 4, 0, 0, 3, 4, 3, 3, 4, 4, 1, 3, 4, 3, 1, 0, 4, 3, 3, 3, 4, 1, 0, 4, 2, 3, 2, 1, 3, 3, 1, 1, 0, 4, 3, 1, 0, 0, 1, 2, 0, 3, 3, 1, 4, 0, 2, 1, 4, 2, 4, 1, 0, 0, 1, 1, 2, 0, 4, 3, 2, 4, 3, 3, 1, 3, 0, 1, 4, 1, 2, 3, 0, 3, 0, 4, 4, 0, 2, 2, 4, 3, 0, 4, 1, 3, 0, 1, 4, 3, 2, 3, 0, 0, 2, 2, 0, 3, 0, 3, 4, 2, 4, 1, 2, 2, 0, 2, 1, 3, 1, 0, 2, 4, 4, 4, 1, 4, 0, 4, 3, 3, 2, 4, 2, 3, 2, 0, 4, 3, 4, 0, 4, 3, 1, 1, 2, 2, 2, 0, 2, 3, 0, 3, 1, 2, 4, 0, 1, 1, 1, 4, 3, 2, 0, 3, 1, 0, 3, 1, 1, 3, 3, 1, 4, 4, 4, 2, 3, 0, 0, 4, 4, 2, 2, 3, 4, 1, 1, 3, 0, 2, 4, 2, 0, 4, 0, 0, 3, 0, 1, 4, 1, 0, 2, 1, 1, 2, 2, 0, 4, 0, 2, 1, 2, 4, 1, 4, 3, 1, 0, 0, 1, 0, 1, 4, 2, 3, 3, 3, 4, 0, 4, 0, 3, 2, 2, 3, 3, 3, 0, 1, 2, 4, 4, 3, 2, 3, 3, 2, 0, 2, 4, 4, 1, 0, 1, 0, 2, 1, 3, 4, 0, 1, 4, 4, 4, 3, 3, 2, 0, 4, 0, 0, 3, 3, 2, 4, 3, 0, 3, 1, 0, 1, 0, 3, 3, 4, 2, 4, 2, 1, 4, 1, 4, 4, 4, 0, 1, 0, 1, 1, 4, 0, 0, 4, 4, 0, 2, 3, 2, 1, 3, 3, 2, 1, 4, 0]
pubkeycol945 = [1, 0, 2, 0, 0, 1, 4, 0, 4, 2, 2, 2, 4, 4, 0, 4, 3, 1, 4, 0, 3, 1, 2, 4, 0, 1, 1, 2, 4, 0, 4, 4, 2, 2, 2, 3, 2, 2, 0, 0, 2, 2, 3, 4, 3, 2, 3, 1, 0, 1, 0, 4, 3, 1, 1, 4, 3, 1, 3, 2, 3, 4, 0, 2, 2, 0, 3, 4, 0, 3, 0, 1, 1, 4, 3, 3, 4, 3, 0, 1, 0, 2, 2, 4, 2, 4, 2, 1, 4, 4, 4, 2, 0, 3, 3, 1, 3, 3, 2, 0, 0, 3, 2, 3, 4, 3, 4, 0, 3, 1, 3, 1, 4, 3, 4, 3, 4, 4, 0, 0, 4, 4, 0, 4, 1, 2, 4, 0, 4, 3, 1, 1, 2, 3, 2, 2, 2, 0, 3, 2, 1, 3, 4, 1, 1, 0, 1, 0, 0, 3, 3, 4, 2, 1, 1, 0, 1, 4, 4, 3, 2, 4, 4, 0, 2, 2, 2, 0, 4, 1, 1, 1, 0, 4, 1, 1, 3, 3, 3, 0, 4, 1, 0, 3, 2, 3, 4, 0, 0, 2, 0, 2, 0, 2, 2, 1, 3, 1, 0, 0, 4, 3, 2, 0, 0, 3, 2, 1, 0, 4, 4, 1, 4, 3, 4, 3, 2, 1, 0, 1, 3, 4, 2, 1, 3, 2, 0, 4, 0, 4, 3, 1, 0, 4, 1, 0, 4, 0, 0, 2, 1, 0, 0, 1, 4, 1, 2, 4, 4, 4, 3, 1, 0, 4, 4, 1, 4, 0, 2, 3, 3, 4, 2, 1, 0, 3, 4, 0, 1, 4, 1, 3, 4, 1, 4, 4, 0, 3, 4, 4, 1, 3, 4, 0, 1, 4, 1, 3, 3, 1, 2, 4, 1, 1, 1, 4, 0, 1, 4, 4, 4, 3, 2, 1, 0, 4, 0, 2, 2, 2, 3, 4, 0, 3, 1, 1, 4, 0, 0, 1, 0, 4, 0, 1, 3, 1, 1, 3, 0, 0, 4, 1, 4, 4, 3, 4, 4, 3, 1, 4, 4, 0, 3, 4, 0, 1, 1, 2, 4, 0, 0, 4, 0, 4, 0, 2, 2, 3, 0, 4, 1, 4, 0, 4, 2, 2, 2, 4, 0, 3, 0, 0, 4, 0, 0, 3, 0, 2, 0, 3, 2, 3, 0, 0, 1, 1, 4, 0, 0, 0, 0, 4, 3, 1, 3, 2, 4, 0, 1, 2]
pubkeycol946 = [2, 1, 4, 4, 0, 1, 4, 1, 0, 2, 1, 1, 1, 0, 3, 3, 4, 4, 4, 0, 0, 3, 1, 4, 2, 2, 1, 0, 0, 0, 2, 1, 2, 4, 4, 3, 4, 1, 2, 2, 4, 4, 2, 2, 3, 1, 1, 0, 3, 3, 2, 2, 0, 1, 1, 1, 3, 4, 3, 3, 2, 2, 2, 1, 2, 0, 0, 4, 2, 4, 4, 1, 1, 1, 3, 4, 1, 3, 2, 1, 0, 0, 2, 3, 0, 0, 4, 3, 1, 0, 4, 3, 1, 3, 4, 0, 3, 0, 1, 2, 2, 2, 4, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 4, 1, 4, 2, 0, 1, 1, 0, 4, 2, 4, 1, 2, 0, 3, 0, 4, 2, 4, 0, 2, 3, 2, 1, 4, 3, 3, 4, 4, 2, 0, 3, 0, 4, 2, 2, 2, 3, 4, 1, 2, 4, 4, 0, 1, 2, 0, 2, 0, 3, 3, 1, 3, 3, 3, 0, 2, 1, 0, 1, 4, 4, 4, 3, 3, 2, 2, 4, 0, 0, 2, 2, 1, 3, 4, 0, 1, 1, 3, 3, 0, 4, 3, 0, 1, 0, 2, 2, 3, 1, 3, 4, 3, 1, 0, 0, 2, 3, 1, 1, 0, 4, 3, 1, 3, 2, 4, 3, 4, 3, 4, 1, 4, 3, 2, 2, 2, 2, 0, 4, 0, 3, 2, 0, 3, 2, 1, 0, 1, 3, 2, 2, 4, 3, 4, 4, 1, 4, 3, 4, 0, 2, 3, 3, 2, 2, 1, 4, 1, 3, 2, 4, 4, 4, 0, 4, 4, 0, 1, 1, 4, 1, 1, 3, 2, 1, 1, 2, 2, 3, 1, 0, 3, 1, 0, 1, 4, 1, 2, 1, 1, 2, 4, 4, 2, 1, 0, 3, 2, 2, 2, 1, 4, 4, 4, 3, 0, 3, 4, 0, 4, 0, 0, 3, 4, 1, 0, 1, 2, 3, 1, 4, 3, 1, 1, 0, 1, 2, 3, 3, 4, 4, 4, 1, 1, 4, 0, 1, 2, 0, 2, 4, 3, 2, 2, 0, 1, 0, 0, 4, 1, 1, 3, 4, 1, 0, 1, 1, 1, 1, 4, 2, 4, 1, 2, 0, 0, 4, 3, 0, 0, 0, 4, 2, 0, 0, 1, 3, 1, 3, 0, 3, 3, 2, 4, 4, 1, 0, 1, 4, 2, 4, 2, 2]
pubkeycol947 = [1, 3, 4, 1, 0, 0, 2, 1, 3, 0, 3, 2, 4, 0, 0, 4, 2, 0, 4, 4, 0, 3, 4, 3, 4, 0, 1, 1, 1, 3, 4, 4, 3, 0, 1, 4, 2, 3, 3, 1, 0, 3, 0, 4, 2, 2, 4, 2, 1, 1, 2, 1, 3, 4, 4, 4, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 3, 3, 1, 1, 4, 0, 1, 3, 4, 3, 1, 2, 2, 4, 0, 1, 0, 1, 3, 3, 2, 2, 0, 1, 3, 1, 4, 1, 2, 1, 0, 0, 0, 0, 1, 4, 0, 0, 2, 3, 2, 0, 4, 2, 4, 1, 0, 2, 0, 3, 3, 0, 3, 0, 1, 0, 0, 1, 0, 0, 1, 1, 4, 1, 0, 1, 0, 0, 4, 4, 4, 1, 2, 1, 3, 3, 4, 2, 1, 2, 3, 2, 3, 2, 0, 1, 3, 3, 1, 1, 1, 2, 2, 3, 1, 2, 3, 3, 0, 2, 3, 1, 3, 1, 3, 4, 1, 1, 2, 4, 0, 1, 3, 3, 2, 4, 0, 3, 1, 1, 0, 0, 1, 0, 4, 2, 3, 3, 4, 2, 4, 1, 4, 2, 3, 3, 4, 1, 4, 4, 3, 4, 1, 3, 1, 3, 0, 2, 4, 2, 4, 0, 4, 2, 1, 4, 1, 1, 3, 0, 1, 4, 0, 3, 1, 0, 1, 2, 1, 4, 1, 2, 2, 1, 1, 4, 0, 2, 1, 4, 0, 3, 3, 4, 1, 3, 0, 0, 0, 1, 3, 1, 0, 1, 0, 3, 4, 2, 1, 3, 2, 0, 1, 0, 2, 3, 1, 4, 4, 0, 3, 3, 0, 2, 0, 1, 1, 0, 0, 4, 2, 2, 1, 4, 1, 3, 4, 4, 3, 2, 3, 0, 2, 3, 0, 1, 0, 2, 2, 2, 2, 3, 1, 3, 2, 0, 4, 0, 1, 1, 1, 4, 2, 1, 0, 2, 0, 2, 4, 0, 2, 2, 2, 2, 2, 0, 4, 4, 4, 4, 2, 1, 4, 2, 1, 0, 2, 4, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 4, 0, 4, 4, 3, 3, 3, 3, 4, 2, 0, 4, 0, 4, 0, 4, 4, 4, 2, 2, 0, 2, 4, 4, 3, 2, 2, 4, 4, 2, 1, 3, 2, 1, 0, 3, 3, 4, 1, 1]
pubkeycol948 = [0, 0, 3, 0, 3, 2, 3, 3, 1, 1, 2, 3, 0, 1, 1, 3, 1, 2, 1, 1, 2, 4, 0, 4, 4, 4, 3, 4, 1, 3, 1, 3, 4, 4, 3, 0, 3, 0, 4, 1, 1, 3, 4, 1, 0, 2, 2, 1, 1, 4, 4, 3, 1, 2, 4, 4, 1, 2, 3, 2, 4, 3, 4, 4, 3, 2, 1, 4, 4, 2, 1, 0, 4, 4, 1, 0, 4, 2, 3, 2, 0, 3, 4, 0, 3, 0, 1, 2, 1, 2, 2, 4, 4, 3, 2, 0, 4, 0, 2, 1, 4, 0, 0, 0, 1, 4, 3, 4, 3, 1, 2, 0, 0, 1, 0, 3, 4, 3, 2, 4, 4, 2, 1, 4, 0, 2, 4, 2, 0, 3, 4, 1, 1, 2, 3, 2, 3, 0, 4, 3, 1, 1, 4, 3, 4, 2, 4, 0, 3, 0, 1, 3, 2, 0, 0, 1, 2, 4, 1, 3, 2, 0, 2, 3, 4, 4, 1, 3, 1, 3, 0, 1, 2, 3, 0, 3, 1, 4, 4, 3, 2, 3, 2, 3, 1, 3, 0, 0, 1, 3, 2, 0, 2, 1, 2, 4, 3, 2, 4, 3, 4, 0, 1, 4, 4, 4, 2, 3, 1, 2, 0, 0, 2, 0, 1, 4, 1, 2, 2, 4, 4, 2, 4, 1, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 1, 3, 1, 1, 3, 2, 0, 4, 1, 4, 4, 1, 0, 0, 1, 1, 1, 4, 1, 4, 4, 2, 0, 3, 1, 4, 1, 3, 1, 1, 2, 0, 3, 0, 2, 2, 2, 3, 1, 4, 4, 2, 0, 3, 0, 2, 3, 1, 2, 2, 1, 1, 2, 2, 0, 3, 2, 3, 3, 2, 2, 0, 1, 1, 1, 1, 4, 1, 1, 3, 0, 2, 3, 3, 3, 0, 3, 3, 1, 1, 4, 2, 2, 1, 3, 1, 1, 1, 4, 4, 1, 3, 0, 4, 4, 2, 4, 2, 0, 1, 3, 1, 1, 0, 0, 1, 3, 4, 0, 1, 1, 1, 0, 1, 2, 3, 4, 2, 1, 2, 3, 3, 0, 4, 4, 4, 3, 1, 1, 4, 2, 3, 4, 3, 4, 2, 0, 1, 4, 1, 1, 1, 2, 3, 4, 3, 1, 3, 2, 0, 1, 3, 2, 3, 0, 3, 1, 0, 0, 4, 0, 1, 0, 4, 3]
pubkeycol949 = [2, 4, 2, 2, 0, 3, 4, 4, 1, 2, 1, 4, 4, 3, 0, 1, 3, 2, 4, 4, 2, 1, 1, 1, 4, 3, 2, 3, 3, 1, 3, 1, 1, 2, 4, 2, 0, 4, 1, 0, 1, 4, 0, 0, 2, 0, 4, 1, 3, 4, 1, 1, 4, 0, 0, 3, 2, 0, 3, 4, 0, 3, 0, 2, 3, 4, 4, 0, 0, 2, 3, 4, 1, 0, 0, 1, 2, 3, 3, 3, 1, 0, 0, 0, 3, 2, 2, 3, 0, 0, 4, 0, 2, 0, 1, 1, 0, 4, 1, 3, 2, 4, 2, 3, 2, 2, 4, 0, 4, 0, 2, 0, 1, 1, 3, 0, 1, 4, 4, 4, 3, 2, 4, 4, 3, 0, 3, 4, 3, 1, 2, 0, 1, 4, 2, 2, 3, 2, 1, 4, 2, 1, 3, 1, 4, 4, 1, 0, 0, 2, 2, 4, 1, 1, 0, 0, 4, 2, 2, 3, 2, 4, 1, 0, 1, 3, 2, 2, 3, 0, 1, 4, 2, 4, 0, 1, 1, 0, 2, 2, 2, 1, 4, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 4, 1, 4, 4, 2, 1, 1, 4, 3, 2, 1, 4, 4, 2, 3, 0, 3, 1, 3, 0, 3, 2, 4, 3, 0, 1, 3, 2, 2, 0, 4, 2, 4, 1, 4, 1, 3, 4, 1, 4, 3, 3, 4, 4, 1, 4, 2, 2, 2, 4, 4, 4, 1, 3, 4, 2, 4, 0, 0, 1, 4, 3, 0, 2, 0, 1, 0, 2, 1, 3, 4, 4, 0, 1, 2, 2, 1, 2, 3, 1, 2, 3, 0, 2, 0, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 3, 3, 4, 0, 3, 1, 4, 2, 3, 3, 1, 4, 1, 4, 3, 0, 3, 2, 0, 1, 3, 2, 4, 1, 1, 4, 4, 2, 2, 3, 0, 1, 4, 4, 3, 1, 3, 4, 3, 0, 3, 4, 1, 0, 4, 0, 2, 4, 2, 1, 1, 1, 1, 0, 1, 0, 1, 4, 2, 4, 2, 1, 1, 2, 2, 3, 0, 2, 0, 4, 0, 0, 4, 3, 1, 1, 1, 1, 3, 3, 3, 4, 1, 2, 1, 0, 3, 2, 1, 4, 2, 1, 3, 4, 3, 0, 1, 1, 3, 3, 0, 1, 3, 4, 4, 1, 0, 0, 1, 4]
pubkeycol950 = [0, 0, 4, 1, 0, 0, 3, 3, 4, 3, 3, 1, 3, 4, 0, 4, 4, 2, 2, 0, 1, 4, 3, 2, 3, 2, 2, 1, 2, 4, 1, 4, 2, 1, 4, 2, 0, 0, 1, 0, 4, 1, 2, 2, 1, 1, 4, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 4, 3, 1, 0, 2, 4, 1, 2, 3, 3, 0, 2, 4, 2, 0, 1, 0, 3, 4, 4, 1, 0, 2, 4, 1, 2, 1, 0, 0, 2, 2, 0, 3, 2, 2, 0, 3, 3, 2, 3, 0, 2, 2, 4, 0, 0, 3, 1, 2, 4, 2, 3, 1, 2, 0, 3, 0, 0, 0, 0, 0, 4, 0, 3, 0, 4, 3, 4, 3, 3, 2, 2, 1, 3, 1, 2, 0, 0, 4, 2, 1, 4, 4, 0, 0, 1, 4, 2, 0, 4, 2, 4, 1, 3, 1, 0, 4, 4, 3, 4, 4, 4, 0, 4, 2, 2, 3, 1, 0, 1, 2, 4, 1, 2, 2, 0, 0, 2, 1, 4, 2, 2, 0, 4, 0, 2, 0, 0, 2, 0, 3, 4, 0, 2, 0, 2, 3, 2, 2, 2, 3, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 0, 1, 0, 0, 4, 1, 3, 3, 4, 1, 2, 2, 2, 3, 4, 0, 1, 3, 1, 1, 3, 2, 1, 1, 0, 4, 3, 4, 4, 0, 1, 3, 2, 0, 3, 0, 1, 1, 2, 2, 2, 0, 4, 4, 2, 1, 2, 2, 4, 0, 2, 3, 3, 4, 2, 4, 4, 4, 0, 3, 0, 2, 3, 2, 1, 1, 1, 0, 1, 4, 1, 3, 1, 3, 4, 1, 1, 1, 2, 3, 2, 3, 0, 3, 2, 0, 4, 0, 2, 3, 2, 0, 2, 3, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 3, 2, 3, 2, 4, 4, 1, 0, 4, 2, 0, 1, 2, 2, 0, 0, 3, 2, 4, 0, 1, 0, 0, 0, 0, 1, 0, 3, 0, 2, 0, 2, 3, 4, 4, 2, 3, 1, 1, 2, 4, 0, 2, 2, 2, 3, 3, 3, 2, 0, 2, 1, 3, 0, 0, 0, 0, 0, 4, 2, 4, 1, 3, 3, 2, 3, 2, 0, 1, 1, 1, 4, 3, 4, 3, 1, 0, 0, 4, 1, 2, 1, 1, 1]
pubkeycol951 = [3, 1, 2, 3, 4, 2, 1, 0, 1, 4, 1, 0, 1, 0, 3, 2, 1, 2, 3, 4, 3, 2, 1, 1, 1, 3, 2, 4, 0, 4, 3, 1, 0, 4, 3, 3, 4, 2, 4, 0, 0, 1, 3, 2, 0, 0, 2, 0, 0, 2, 3, 3, 3, 2, 1, 3, 4, 1, 2, 3, 3, 2, 4, 1, 4, 4, 0, 2, 3, 1, 0, 2, 1, 3, 0, 4, 0, 2, 1, 1, 1, 2, 3, 4, 4, 4, 4, 0, 1, 0, 2, 4, 1, 0, 2, 2, 4, 4, 3, 2, 4, 2, 1, 0, 0, 0, 3, 1, 2, 3, 2, 2, 3, 1, 0, 2, 4, 0, 2, 1, 4, 2, 4, 2, 1, 2, 4, 4, 3, 2, 0, 3, 3, 3, 1, 1, 0, 0, 4, 1, 2, 3, 1, 2, 0, 0, 1, 4, 2, 3, 0, 2, 0, 3, 3, 4, 3, 2, 1, 0, 0, 3, 0, 1, 3, 2, 0, 4, 3, 3, 2, 2, 4, 0, 0, 4, 4, 2, 4, 0, 3, 4, 2, 1, 3, 4, 0, 0, 0, 3, 1, 1, 1, 2, 4, 2, 1, 0, 3, 2, 4, 4, 4, 4, 3, 3, 2, 0, 1, 4, 2, 2, 4, 0, 4, 2, 0, 4, 3, 0, 4, 1, 3, 4, 1, 0, 3, 1, 2, 0, 2, 3, 1, 3, 4, 3, 1, 0, 1, 3, 4, 4, 1, 1, 0, 2, 1, 0, 3, 2, 1, 2, 0, 0, 0, 3, 2, 4, 3, 4, 2, 2, 4, 3, 0, 3, 1, 0, 0, 2, 4, 4, 0, 1, 2, 4, 1, 3, 4, 2, 0, 1, 0, 0, 0, 1, 3, 0, 1, 1, 0, 1, 0, 3, 4, 4, 0, 2, 0, 1, 1, 3, 4, 4, 0, 3, 0, 2, 1, 4, 0, 2, 3, 2, 1, 1, 2, 0, 3, 4, 3, 2, 4, 0, 3, 4, 2, 0, 1, 2, 0, 3, 0, 0, 2, 2, 4, 3, 0, 2, 0, 3, 4, 4, 2, 1, 1, 2, 1, 3, 0, 0, 1, 0, 3, 0, 2, 1, 4, 3, 0, 2, 1, 0, 1, 1, 0, 1, 3, 4, 3, 2, 2, 4, 0, 1, 3, 4, 0, 2, 2, 2, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 4, 0, 4, 2, 3, 2, 4, 2]
pubkeycol952 = [0, 2, 1, 3, 0, 2, 0, 1, 2, 3, 2, 4, 3, 0, 3, 1, 1, 4, 3, 1, 2, 3, 4, 2, 4, 4, 4, 1, 3, 3, 1, 3, 4, 1, 0, 2, 4, 3, 3, 3, 4, 4, 1, 1, 2, 0, 3, 0, 2, 0, 3, 0, 4, 3, 2, 1, 4, 4, 2, 2, 2, 1, 4, 1, 1, 3, 0, 3, 1, 0, 4, 1, 3, 3, 2, 0, 1, 2, 4, 0, 3, 3, 4, 0, 2, 1, 2, 4, 0, 1, 3, 1, 2, 0, 2, 4, 4, 1, 1, 4, 1, 1, 2, 0, 2, 4, 4, 3, 4, 4, 3, 2, 3, 4, 3, 2, 1, 2, 2, 0, 3, 3, 0, 0, 3, 4, 4, 4, 1, 3, 4, 4, 3, 0, 0, 0, 0, 0, 1, 3, 2, 3, 3, 2, 3, 4, 4, 2, 0, 3, 0, 2, 3, 0, 3, 4, 4, 0, 1, 1, 4, 3, 2, 0, 0, 3, 4, 3, 4, 2, 2, 3, 0, 2, 4, 3, 2, 4, 4, 4, 1, 2, 0, 4, 4, 1, 1, 0, 3, 2, 2, 2, 4, 3, 1, 0, 0, 2, 4, 1, 0, 0, 3, 3, 4, 0, 2, 4, 2, 3, 4, 3, 4, 0, 1, 0, 4, 1, 3, 0, 2, 3, 1, 2, 2, 0, 1, 4, 0, 2, 1, 4, 2, 4, 2, 0, 2, 3, 4, 1, 3, 4, 2, 0, 1, 3, 2, 1, 4, 3, 0, 3, 0, 2, 3, 3, 3, 3, 4, 4, 3, 0, 1, 1, 2, 3, 0, 0, 3, 2, 2, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 4, 0, 2, 0, 0, 0, 2, 2, 4, 1, 4, 3, 2, 4, 2, 4, 3, 1, 0, 0, 3, 2, 0, 4, 0, 3, 4, 2, 4, 3, 2, 3, 4, 0, 3, 2, 0, 0, 3, 1, 1, 2, 4, 3, 1, 1, 3, 1, 1, 4, 4, 4, 2, 0, 2, 3, 2, 1, 3, 3, 4, 3, 3, 4, 2, 2, 2, 0, 0, 3, 3, 2, 3, 4, 1, 4, 1, 2, 2, 2, 0, 0, 4, 1, 3, 1, 2, 0, 0, 3, 3, 2, 3, 3, 4, 2, 3, 4, 2, 4, 2, 2, 1, 0, 0, 2, 1, 4, 2, 3, 2, 0, 2, 4, 4, 0, 0, 0, 1]
pubkeycol953 = [1, 3, 1, 1, 1, 1, 4, 0, 0, 0, 0, 4, 1, 0, 4, 2, 2, 4, 1, 0, 3, 2, 4, 2, 3, 0, 4, 3, 4, 2, 4, 0, 4, 3, 2, 3, 3, 3, 0, 1, 1, 0, 4, 4, 1, 1, 2, 0, 0, 3, 0, 3, 4, 0, 0, 0, 0, 0, 1, 0, 4, 2, 3, 2, 2, 4, 4, 4, 0, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 4, 2, 2, 4, 1, 1, 4, 4, 0, 0, 4, 4, 4, 2, 2, 4, 3, 3, 0, 0, 0, 3, 4, 2, 1, 2, 0, 2, 3, 2, 2, 2, 4, 1, 3, 1, 0, 4, 2, 0, 2, 1, 2, 1, 3, 2, 0, 3, 1, 1, 4, 1, 1, 4, 0, 0, 3, 4, 0, 3, 0, 2, 1, 1, 4, 4, 4, 4, 1, 3, 0, 2, 1, 2, 1, 3, 1, 3, 4, 3, 2, 3, 1, 4, 4, 3, 4, 4, 0, 0, 0, 3, 1, 4, 1, 2, 2, 4, 0, 1, 0, 4, 4, 1, 1, 4, 4, 1, 1, 3, 1, 4, 4, 3, 0, 3, 3, 3, 1, 3, 3, 3, 2, 4, 2, 1, 1, 0, 1, 2, 1, 2, 1, 3, 3, 0, 2, 3, 2, 0, 4, 3, 1, 4, 1, 3, 0, 2, 4, 1, 1, 1, 4, 4, 3, 2, 1, 0, 1, 4, 0, 4, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 3, 2, 1, 3, 1, 3, 3, 0, 2, 2, 0, 1, 4, 2, 1, 4, 2, 0, 0, 3, 0, 4, 4, 3, 0, 1, 1, 3, 4, 1, 4, 4, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 0, 3, 1, 2, 0, 0, 4, 2, 4, 0, 4, 4, 2, 3, 1, 0, 1, 0, 0, 4, 3, 1, 1, 0, 2, 2, 0, 2, 2, 2, 4, 3, 3, 0, 2, 3, 0, 3, 1, 4, 4, 1, 0, 3, 4, 1, 2, 1, 0, 0, 0, 2, 0, 0, 3, 2, 4, 3, 0, 3, 2, 0, 2, 3, 3, 1, 3, 1, 1, 0, 4, 0, 2, 3, 0, 0, 2, 0, 3, 4, 1, 0, 4, 0, 2, 4, 2, 1, 2, 2, 2, 0, 3, 3, 4, 1, 1, 0, 1, 0, 0, 3]
pubkeycol954 = [2, 2, 0, 4, 3, 3, 2, 2, 4, 1, 1, 0, 4, 4, 3, 2, 1, 4, 1, 4, 2, 2, 4, 1, 0, 3, 0, 1, 2, 0, 3, 1, 0, 4, 3, 3, 1, 1, 2, 4, 1, 1, 0, 0, 1, 0, 2, 0, 1, 3, 3, 0, 4, 2, 3, 2, 1, 0, 0, 0, 0, 3, 0, 2, 0, 2, 2, 0, 3, 3, 1, 0, 3, 1, 1, 1, 2, 2, 4, 1, 3, 2, 0, 1, 4, 4, 4, 4, 2, 0, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 0, 1, 4, 1, 1, 2, 2, 4, 1, 3, 1, 3, 1, 3, 4, 0, 0, 1, 1, 4, 1, 4, 0, 2, 1, 0, 2, 4, 1, 4, 3, 0, 4, 2, 2, 0, 2, 0, 1, 3, 4, 0, 2, 3, 4, 1, 4, 1, 4, 1, 2, 3, 1, 2, 3, 1, 2, 3, 4, 1, 0, 3, 2, 2, 3, 1, 4, 4, 3, 4, 3, 2, 4, 1, 2, 2, 3, 0, 2, 1, 1, 4, 1, 1, 4, 1, 4, 2, 2, 4, 4, 1, 4, 4, 4, 4, 4, 1, 4, 1, 1, 3, 2, 2, 2, 4, 0, 1, 2, 3, 4, 4, 0, 3, 2, 0, 0, 4, 3, 1, 4, 0, 4, 0, 1, 4, 1, 3, 3, 3, 2, 0, 1, 3, 2, 1, 0, 4, 3, 1, 2, 2, 3, 1, 2, 2, 0, 0, 2, 4, 4, 4, 1, 1, 4, 2, 4, 4, 1, 2, 0, 1, 3, 0, 0, 1, 3, 4, 1, 1, 1, 3, 0, 0, 3, 0, 3, 0, 4, 1, 4, 2, 2, 2, 3, 1, 4, 4, 0, 3, 4, 4, 0, 1, 2, 4, 4, 1, 4, 4, 3, 2, 2, 4, 1, 1, 4, 0, 3, 4, 3, 0, 0, 3, 2, 1, 0, 1, 4, 4, 4, 1, 4, 2, 2, 4, 1, 2, 4, 2, 1, 2, 2, 4, 4, 2, 1, 0, 4, 1, 1, 3, 1, 2, 0, 1, 0, 3, 0, 2, 4, 2, 1, 1, 4, 3, 1, 0, 0, 1, 1, 3, 2, 2, 1, 3, 0, 2, 4, 0, 3, 3, 3, 0, 4, 4, 0, 1, 4, 0, 2, 4, 3, 4, 3, 1, 2, 1, 0, 2, 1, 3, 0, 2, 1, 4, 2, 3, 1, 0]
pubkeycol955 = [1, 3, 3, 3, 1, 1, 4, 1, 3, 2, 1, 4, 1, 4, 1, 3, 0, 2, 1, 4, 3, 4, 0, 2, 2, 2, 4, 0, 4, 0, 2, 2, 4, 0, 4, 3, 2, 3, 4, 3, 1, 4, 4, 3, 1, 0, 0, 2, 4, 2, 0, 0, 0, 2, 1, 3, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 4, 3, 3, 2, 0, 0, 1, 1, 2, 0, 1, 3, 4, 4, 3, 4, 2, 4, 0, 2, 3, 3, 1, 3, 1, 4, 0, 4, 1, 4, 3, 3, 0, 4, 4, 4, 1, 0, 3, 2, 4, 3, 0, 1, 3, 0, 2, 3, 2, 1, 3, 0, 0, 0, 3, 2, 4, 2, 3, 4, 0, 4, 2, 0, 2, 3, 3, 3, 1, 1, 4, 2, 0, 4, 2, 2, 2, 3, 3, 4, 3, 2, 1, 0, 3, 0, 3, 3, 3, 2, 2, 3, 2, 1, 1, 4, 3, 0, 2, 1, 0, 4, 4, 4, 3, 1, 2, 3, 3, 2, 4, 0, 2, 4, 4, 0, 0, 4, 0, 2, 0, 4, 4, 1, 0, 3, 1, 1, 4, 2, 0, 1, 2, 0, 3, 3, 1, 3, 2, 1, 3, 1, 2, 2, 2, 3, 2, 3, 0, 3, 0, 0, 4, 2, 1, 4, 2, 0, 3, 4, 2, 2, 2, 2, 1, 3, 0, 2, 1, 3, 1, 1, 0, 3, 3, 3, 2, 0, 0, 1, 0, 2, 2, 4, 4, 3, 1, 2, 4, 4, 4, 0, 4, 3, 0, 4, 0, 1, 4, 1, 1, 3, 2, 2, 0, 4, 2, 0, 2, 2, 4, 3, 2, 4, 4, 3, 0, 3, 1, 3, 1, 1, 2, 2, 1, 4, 1, 3, 4, 0, 2, 4, 2, 2, 3, 4, 3, 4, 0, 3, 0, 0, 0, 2, 4, 4, 2, 4, 3, 1, 1, 3, 1, 4, 0, 3, 3, 1, 2, 3, 1, 0, 4, 3, 3, 0, 1, 3, 2, 1, 4, 2, 0, 4, 2, 4, 0, 1, 4, 1, 3, 4, 3, 0, 1, 1, 1, 3, 0, 0, 2, 4, 1, 2, 2, 0, 4, 0, 4, 0, 0, 0, 0, 4, 2, 4, 3, 2, 2, 2, 0, 0, 0, 2, 0, 3, 2, 1, 4, 2, 3, 4, 1, 4, 3, 4, 1, 1, 3, 3, 1]
pubkeycol956 = [0, 2, 2, 1, 2, 4, 1, 4, 1, 3, 1, 4, 1, 2, 3, 1, 1, 2, 4, 3, 0, 3, 0, 4, 1, 0, 1, 2, 3, 4, 2, 4, 0, 0, 2, 3, 4, 1, 2, 4, 1, 1, 1, 1, 2, 0, 1, 0, 2, 4, 0, 2, 2, 2, 2, 1, 4, 2, 0, 2, 2, 1, 2, 1, 0, 1, 3, 2, 2, 2, 4, 0, 2, 2, 3, 1, 3, 2, 2, 1, 4, 3, 1, 1, 4, 0, 0, 0, 0, 2, 1, 4, 3, 2, 2, 4, 0, 0, 4, 0, 1, 0, 4, 4, 4, 3, 0, 3, 0, 4, 2, 3, 0, 4, 0, 4, 4, 4, 1, 1, 1, 4, 0, 0, 3, 4, 0, 0, 4, 2, 0, 3, 1, 4, 4, 1, 4, 2, 2, 0, 1, 1, 0, 4, 0, 4, 1, 2, 2, 3, 4, 3, 4, 1, 4, 4, 1, 0, 2, 0, 1, 3, 0, 2, 0, 3, 1, 2, 3, 2, 0, 4, 1, 2, 1, 2, 3, 2, 3, 2, 1, 4, 4, 2, 1, 4, 0, 2, 1, 1, 4, 2, 3, 2, 0, 2, 1, 1, 3, 4, 3, 4, 4, 3, 0, 3, 0, 4, 4, 0, 4, 4, 0, 4, 0, 2, 2, 3, 2, 4, 1, 1, 2, 1, 1, 4, 4, 0, 4, 0, 3, 3, 2, 1, 4, 3, 4, 4, 4, 2, 0, 0, 3, 2, 0, 2, 0, 0, 4, 0, 3, 1, 4, 1, 3, 2, 4, 3, 1, 2, 0, 2, 2, 4, 4, 4, 1, 0, 4, 4, 0, 2, 1, 2, 3, 4, 1, 1, 4, 0, 1, 4, 3, 2, 1, 3, 3, 3, 3, 0, 1, 0, 3, 2, 2, 3, 0, 4, 1, 4, 4, 4, 0, 1, 0, 4, 1, 3, 2, 1, 0, 0, 3, 1, 4, 4, 4, 1, 0, 1, 1, 0, 2, 0, 3, 4, 3, 1, 0, 0, 2, 4, 2, 4, 2, 1, 1, 0, 3, 4, 3, 2, 1, 4, 0, 4, 4, 4, 3, 0, 0, 2, 2, 3, 1, 0, 1, 1, 3, 4, 0, 3, 1, 4, 2, 1, 1, 2, 1, 0, 0, 1, 1, 3, 3, 3, 0, 2, 2, 1, 3, 0, 1, 1, 1, 1, 2, 0, 3, 1, 4, 0, 1, 0, 1, 1, 2, 1, 1, 4]
pubkeycol957 = [0, 4, 3, 3, 2, 0, 3, 0, 0, 4, 0, 1, 4, 2, 4, 2, 2, 3, 0, 1, 2, 3, 0, 4, 0, 2, 1, 2, 1, 4, 3, 1, 4, 2, 0, 4, 0, 1, 2, 0, 1, 3, 0, 4, 4, 4, 0, 3, 1, 0, 0, 1, 4, 4, 2, 0, 0, 3, 0, 3, 2, 2, 4, 3, 2, 3, 4, 3, 3, 2, 3, 3, 4, 2, 1, 3, 2, 4, 1, 1, 0, 3, 1, 1, 0, 1, 3, 4, 2, 3, 4, 3, 1, 1, 4, 0, 2, 0, 3, 3, 3, 1, 4, 1, 4, 2, 1, 4, 2, 0, 1, 2, 1, 4, 3, 3, 2, 0, 4, 1, 2, 1, 4, 0, 1, 4, 0, 2, 0, 0, 4, 0, 3, 4, 2, 2, 4, 2, 3, 4, 4, 0, 4, 4, 4, 0, 3, 2, 0, 3, 4, 3, 0, 3, 2, 3, 2, 0, 0, 1, 2, 1, 3, 2, 4, 1, 4, 2, 4, 2, 1, 4, 3, 0, 1, 3, 1, 0, 0, 2, 3, 4, 3, 0, 3, 4, 3, 2, 3, 0, 1, 1, 4, 2, 2, 0, 3, 4, 1, 3, 0, 4, 4, 4, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 4, 4, 1, 2, 0, 2, 0, 1, 4, 4, 0, 1, 0, 4, 0, 1, 0, 3, 3, 1, 3, 3, 3, 0, 0, 2, 2, 1, 3, 3, 0, 1, 4, 2, 2, 3, 0, 0, 3, 4, 2, 1, 0, 3, 2, 3, 1, 0, 0, 1, 1, 2, 4, 2, 1, 4, 0, 0, 2, 2, 1, 2, 3, 3, 4, 0, 2, 4, 0, 2, 4, 4, 0, 0, 4, 4, 4, 4, 1, 3, 1, 0, 1, 2, 3, 2, 0, 0, 3, 3, 3, 3, 1, 0, 2, 0, 3, 0, 0, 0, 0, 4, 2, 0, 1, 3, 4, 1, 4, 1, 0, 2, 0, 1, 1, 4, 1, 4, 4, 2, 3, 2, 3, 4, 2, 1, 2, 4, 1, 2, 1, 4, 1, 1, 0, 3, 0, 2, 4, 1, 4, 2, 1, 4, 1, 1, 3, 4, 1, 0, 4, 2, 3, 1, 2, 3, 2, 2, 3, 0, 4, 3, 1, 3, 3, 4, 1, 3, 4, 4, 2, 4, 1, 1, 3, 2, 1, 3, 0, 4, 0, 2, 3, 3, 2, 1]
pubkeycol958 = [2, 0, 2, 3, 0, 1, 3, 0, 3, 1, 2, 4, 0, 0, 2, 4, 1, 3, 0, 0, 1, 3, 0, 3, 1, 0, 1, 0, 0, 4, 3, 2, 0, 2, 2, 3, 3, 1, 2, 4, 0, 0, 1, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 2, 2, 1, 0, 0, 0, 1, 0, 1, 4, 1, 0, 0, 3, 3, 3, 1, 1, 4, 3, 4, 4, 1, 1, 2, 0, 2, 1, 4, 2, 1, 0, 1, 3, 3, 3, 0, 0, 2, 4, 3, 4, 3, 3, 3, 3, 2, 0, 2, 4, 3, 3, 4, 4, 3, 3, 4, 2, 1, 4, 3, 4, 4, 4, 2, 4, 0, 1, 0, 1, 1, 1, 3, 0, 3, 3, 0, 4, 0, 4, 4, 3, 3, 0, 3, 4, 2, 4, 3, 0, 4, 0, 3, 4, 3, 2, 1, 4, 3, 4, 2, 3, 1, 2, 1, 4, 1, 0, 3, 3, 2, 1, 3, 1, 2, 1, 0, 1, 4, 4, 2, 0, 4, 0, 3, 2, 4, 2, 2, 1, 1, 4, 2, 4, 2, 4, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 4, 1, 1, 3, 0, 4, 2, 4, 1, 2, 4, 3, 0, 0, 2, 0, 1, 0, 3, 0, 0, 1, 0, 4, 0, 1, 3, 1, 3, 4, 3, 2, 4, 1, 1, 2, 1, 3, 0, 2, 0, 1, 3, 3, 3, 1, 3, 2, 4, 4, 3, 4, 1, 3, 1, 2, 1, 3, 4, 0, 0, 2, 4, 1, 2, 4, 4, 2, 4, 2, 1, 3, 4, 1, 1, 1, 4, 4, 2, 3, 1, 0, 4, 1, 0, 0, 3, 4, 3, 2, 4, 0, 2, 3, 0, 4, 2, 4, 4, 1, 1, 0, 0, 3, 1, 1, 2, 4, 4, 3, 4, 2, 4, 2, 2, 4, 0, 1, 3, 0, 4, 1, 4, 3, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 3, 4, 0, 1, 0, 0, 2, 3, 1, 2, 1, 4, 4, 3, 4, 1, 3, 0, 3, 1, 1, 1, 4, 1, 3, 3, 0, 2, 3, 1, 4, 3, 2, 1, 3, 0, 4, 2, 1, 3, 1, 2, 4, 3, 2, 3, 3, 0, 4, 1, 4, 0, 0, 0, 1, 0, 1, 4, 0, 3, 2, 2, 3, 0, 4]
pubkeycol959 = [4, 1, 3, 4, 0, 4, 4, 2, 1, 3, 2, 0, 0, 3, 4, 4, 4, 1, 4, 4, 2, 0, 3, 2, 0, 1, 3, 1, 4, 3, 1, 0, 4, 2, 3, 4, 2, 1, 2, 4, 4, 1, 0, 3, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 3, 0, 3, 1, 0, 3, 2, 2, 1, 3, 2, 0, 4, 1, 2, 2, 3, 1, 3, 3, 1, 4, 3, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 3, 3, 2, 4, 2, 3, 2, 4, 3, 2, 1, 3, 3, 2, 3, 0, 0, 0, 2, 1, 0, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 0, 4, 2, 1, 2, 1, 0, 4, 4, 4, 4, 3, 0, 1, 2, 4, 3, 1, 2, 2, 1, 4, 2, 3, 2, 2, 3, 2, 0, 2, 3, 2, 2, 4, 1, 4, 4, 1, 0, 3, 0, 4, 2, 4, 0, 1, 3, 3, 2, 2, 3, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 1, 3, 1, 3, 2, 1, 2, 0, 4, 3, 2, 0, 2, 2, 1, 1, 3, 3, 1, 1, 0, 4, 3, 4, 4, 4, 3, 1, 4, 4, 1, 0, 3, 3, 4, 2, 0, 2, 3, 4, 0, 2, 1, 2, 3, 1, 3, 4, 3, 1, 0, 3, 4, 2, 2, 0, 0, 3, 3, 1, 0, 4, 4, 4, 0, 2, 2, 4, 2, 1, 0, 4, 3, 3, 4, 1, 4, 3, 1, 0, 3, 1, 3, 2, 4, 1, 2, 3, 3, 0, 0, 3, 2, 2, 0, 0, 1, 1, 1, 0, 3, 2, 3, 1, 1, 1, 4, 1, 2, 1, 3, 3, 1, 0, 4, 2, 1, 3, 2, 4, 3, 0, 3, 4, 3, 4, 3, 4, 0, 4, 1, 4, 1, 3, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 3, 3, 0, 0, 1, 0, 0, 1, 2, 4, 3, 3, 1, 4, 2, 0, 0, 4, 2, 2, 2, 3, 4, 3, 3, 2, 4, 1, 4, 1, 4, 1, 1, 0, 3, 2, 0, 1, 3, 2, 4, 1, 3, 2, 1, 0, 1, 3, 0, 4, 1, 3, 4, 0, 2, 2, 4, 4, 3, 1]
pubkeycol960 = [0, 4, 1, 4, 3, 2, 1, 0, 0, 0, 4, 4, 2, 3, 4, 1, 4, 2, 2, 3, 0, 0, 3, 1, 4, 1, 3, 1, 2, 3, 3, 1, 2, 0, 0, 3, 0, 0, 4, 3, 4, 2, 3, 1, 0, 2, 1, 2, 3, 4, 3, 0, 4, 0, 4, 2, 3, 1, 4, 4, 3, 0, 3, 4, 3, 2, 3, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 4, 4, 2, 1, 2, 3, 0, 0, 4, 0, 4, 2, 2, 2, 2, 2, 2, 0, 2, 4, 4, 3, 4, 3, 4, 1, 4, 2, 0, 1, 3, 0, 2, 0, 1, 0, 0, 2, 0, 3, 3, 2, 1, 0, 0, 3, 2, 3, 2, 1, 0, 1, 2, 2, 2, 4, 1, 0, 1, 1, 4, 3, 1, 0, 3, 0, 2, 3, 0, 1, 4, 0, 1, 1, 3, 4, 2, 2, 1, 0, 0, 1, 3, 1, 3, 0, 4, 1, 2, 4, 0, 2, 0, 2, 4, 4, 2, 4, 2, 3, 0, 1, 0, 1, 4, 4, 4, 1, 4, 4, 2, 4, 0, 1, 0, 2, 4, 4, 3, 4, 1, 4, 4, 1, 3, 0, 2, 1, 2, 4, 3, 2, 0, 1, 0, 4, 1, 4, 4, 0, 0, 1, 3, 1, 1, 0, 3, 0, 3, 1, 1, 3, 4, 0, 0, 3, 3, 0, 1, 2, 1, 3, 1, 0, 4, 3, 4, 3, 2, 3, 4, 1, 3, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 3, 1, 2, 2, 2, 3, 1, 3, 0, 3, 0, 1, 2, 1, 3, 0, 4, 4, 2, 2, 4, 0, 2, 2, 2, 4, 3, 3, 2, 0, 0, 2, 0, 2, 3, 2, 2, 1, 2, 1, 2, 4, 3, 4, 4, 0, 0, 3, 3, 0, 4, 0, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 0, 0, 0, 1, 3, 0, 4, 3, 4, 2, 4, 4, 1, 0, 2, 4, 4, 3, 2, 2, 4, 3, 1, 4, 1, 1, 3, 3, 1, 0, 4, 4, 1, 3, 0, 3, 1, 2, 4, 1, 4, 4, 2, 4, 2, 3, 4, 0, 1, 1, 0, 2, 0, 3, 2, 0, 1, 0, 2, 1, 0, 4, 2, 1, 3, 1, 3, 0, 2, 4, 3]
pubkeycol961 = [1, 0, 4, 1, 1, 3, 3, 2, 0, 2, 0, 4, 4, 0, 1, 2, 1, 0, 4, 2, 3, 0, 3, 2, 4, 4, 2, 4, 4, 1, 2, 0, 0, 0, 4, 0, 4, 2, 2, 3, 0, 3, 4, 2, 0, 4, 4, 3, 0, 1, 4, 0, 4, 0, 1, 4, 3, 2, 3, 0, 1, 0, 3, 0, 3, 3, 0, 2, 3, 1, 3, 1, 2, 4, 4, 2, 3, 3, 4, 2, 1, 2, 0, 0, 3, 4, 1, 2, 0, 4, 3, 3, 0, 2, 3, 3, 4, 4, 1, 1, 4, 2, 0, 1, 3, 0, 3, 2, 4, 2, 3, 0, 1, 0, 4, 1, 2, 0, 0, 2, 1, 2, 3, 0, 3, 4, 4, 4, 2, 3, 0, 3, 3, 3, 1, 4, 2, 1, 0, 3, 1, 3, 1, 1, 2, 2, 4, 3, 4, 2, 0, 1, 1, 0, 1, 2, 4, 1, 1, 2, 3, 4, 2, 2, 3, 0, 1, 1, 3, 0, 3, 1, 4, 1, 4, 4, 1, 3, 4, 0, 3, 4, 0, 0, 0, 1, 1, 0, 3, 4, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 4, 0, 2, 2, 1, 4, 4, 1, 2, 3, 0, 0, 0, 2, 4, 0, 4, 2, 0, 0, 1, 3, 1, 1, 4, 4, 4, 1, 0, 3, 0, 4, 4, 1, 0, 1, 3, 0, 2, 1, 3, 1, 0, 4, 3, 3, 3, 0, 4, 0, 0, 1, 1, 2, 2, 4, 0, 3, 3, 0, 3, 4, 4, 4, 4, 4, 1, 2, 0, 3, 4, 3, 4, 0, 1, 4, 3, 2, 1, 1, 3, 0, 4, 4, 3, 4, 0, 4, 3, 4, 1, 1, 3, 1, 1, 3, 0, 3, 1, 3, 1, 2, 3, 4, 3, 0, 0, 4, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 4, 4, 3, 1, 0, 4, 3, 1, 0, 4, 1, 4, 1, 3, 3, 1, 0, 2, 1, 0, 4, 4, 3, 2, 2, 3, 4, 4, 1, 1, 2, 0, 2, 0, 3, 1, 4, 0, 2, 2, 2, 3, 3, 2, 3, 3, 3, 1, 0, 1, 4, 2, 2, 4, 0, 0, 3, 2, 0, 0, 3, 1, 3, 3, 1, 4, 4, 1, 2, 0, 0, 0, 3, 0, 2, 2, 2, 2, 3, 4]
pubkeycol962 = [0, 0, 2, 2, 0, 4, 0, 1, 2, 4, 4, 1, 2, 3, 0, 4, 4, 2, 4, 0, 2, 4, 3, 4, 1, 4, 3, 4, 0, 3, 1, 1, 4, 3, 0, 0, 4, 0, 1, 3, 4, 0, 0, 3, 4, 1, 4, 4, 1, 2, 1, 1, 4, 0, 4, 2, 4, 2, 4, 4, 4, 0, 1, 2, 1, 4, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 3, 1, 1, 0, 1, 0, 2, 3, 2, 0, 1, 3, 3, 3, 2, 4, 2, 2, 1, 2, 4, 1, 4, 4, 3, 0, 1, 4, 1, 3, 3, 0, 4, 4, 4, 1, 3, 1, 0, 3, 4, 1, 1, 0, 3, 3, 2, 1, 0, 1, 4, 2, 3, 2, 2, 2, 4, 0, 2, 0, 1, 0, 1, 4, 3, 2, 4, 0, 3, 0, 2, 4, 3, 2, 3, 2, 0, 1, 0, 0, 0, 4, 4, 3, 1, 0, 4, 3, 3, 1, 2, 1, 2, 3, 2, 3, 2, 4, 0, 3, 1, 2, 1, 3, 1, 4, 2, 1, 0, 0, 1, 3, 3, 3, 0, 0, 1, 4, 4, 0, 1, 4, 4, 1, 4, 3, 4, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 4, 3, 0, 3, 2, 1, 3, 1, 1, 1, 3, 0, 2, 2, 2, 4, 0, 0, 4, 1, 4, 1, 4, 2, 1, 3, 3, 2, 2, 1, 1, 1, 0, 1, 4, 1, 2, 2, 3, 0, 0, 1, 3, 3, 2, 1, 3, 0, 3, 3, 1, 2, 1, 4, 4, 0, 1, 1, 3, 4, 2, 1, 0, 2, 1, 3, 0, 4, 3, 3, 0, 4, 2, 2, 2, 2, 0, 3, 4, 1, 1, 2, 4, 2, 2, 4, 4, 4, 4, 3, 1, 4, 1, 3, 0, 4, 0, 3, 0, 1, 2, 2, 1, 3, 4, 2, 1, 0, 1, 4, 4, 1, 0, 0, 1, 3, 2, 4, 0, 4, 3, 1, 1, 3, 0, 1, 3, 3, 0, 1, 2, 1, 2, 2, 4, 3, 1, 1, 3, 4, 4, 4, 3, 2, 0, 2, 1, 2, 3, 1, 3, 3, 4, 0, 4, 2, 0, 4, 3, 1, 1, 4, 0, 2, 3, 0, 0, 2, 3, 1, 1, 2, 3, 4, 2, 1, 0, 3, 0, 3, 3, 1, 1, 2, 4]
pubkeycol963 = [4, 3, 4, 3, 0, 2, 4, 4, 3, 3, 4, 3, 1, 3, 3, 4, 4, 3, 1, 0, 3, 2, 2, 4, 3, 4, 1, 4, 2, 2, 3, 1, 4, 4, 3, 4, 1, 2, 1, 0, 0, 2, 3, 3, 2, 2, 2, 4, 4, 4, 0, 3, 0, 3, 2, 2, 3, 4, 3, 0, 0, 4, 4, 1, 0, 2, 3, 2, 1, 3, 0, 4, 2, 0, 2, 2, 2, 0, 2, 4, 0, 4, 4, 4, 0, 1, 1, 3, 0, 1, 4, 0, 2, 4, 0, 1, 0, 1, 4, 0, 2, 3, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 4, 4, 1, 0, 3, 1, 4, 2, 1, 4, 0, 4, 1, 1, 0, 1, 0, 0, 3, 4, 4, 2, 3, 1, 2, 3, 2, 1, 2, 4, 3, 2, 1, 4, 1, 3, 3, 0, 0, 4, 0, 1, 4, 3, 0, 0, 4, 2, 4, 1, 1, 1, 2, 4, 0, 1, 2, 2, 2, 2, 1, 1, 3, 0, 2, 0, 1, 3, 1, 3, 2, 0, 4, 0, 1, 3, 2, 3, 4, 3, 1, 0, 1, 2, 0, 0, 0, 2, 4, 2, 0, 2, 2, 1, 0, 0, 3, 4, 0, 4, 3, 0, 2, 0, 0, 4, 0, 3, 1, 2, 4, 0, 0, 4, 0, 2, 1, 3, 1, 2, 2, 0, 3, 4, 2, 4, 0, 0, 3, 2, 2, 4, 4, 1, 3, 3, 4, 3, 0, 1, 3, 3, 3, 4, 0, 3, 3, 0, 3, 2, 1, 0, 0, 2, 0, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 2, 4, 0, 2, 2, 1, 0, 2, 2, 4, 0, 3, 2, 2, 2, 4, 3, 3, 1, 1, 4, 3, 3, 3, 0, 2, 3, 0, 0, 1, 3, 4, 3, 4, 4, 3, 1, 4, 0, 2, 2, 1, 4, 1, 3, 0, 4, 1, 2, 0, 1, 0, 3, 1, 2, 2, 3, 0, 0, 3, 0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 3, 4, 3, 1, 2, 4, 1, 3, 4, 2, 3, 2, 0, 4, 2, 4, 3, 2, 0, 2, 4, 1, 0, 3, 2, 4, 0, 2, 4, 1, 1, 3, 2, 4, 4, 3, 0, 3, 1, 1, 3, 2, 0, 3, 0, 1, 2, 2, 2, 3, 0, 0]
pubkeycol964 = [3, 4, 2, 1, 3, 2, 1, 1, 4, 2, 2, 3, 2, 1, 2, 1, 4, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 0, 3, 1, 4, 4, 1, 1, 0, 2, 2, 2, 1, 3, 2, 3, 1, 2, 4, 4, 1, 4, 1, 1, 1, 0, 0, 4, 0, 2, 2, 3, 0, 4, 2, 1, 4, 1, 2, 4, 2, 0, 3, 2, 0, 3, 2, 0, 4, 4, 3, 0, 1, 1, 1, 2, 2, 2, 1, 4, 1, 4, 3, 0, 1, 3, 0, 1, 0, 0, 1, 3, 1, 2, 3, 3, 2, 3, 3, 1, 3, 4, 0, 2, 1, 0, 2, 3, 0, 3, 4, 2, 0, 4, 0, 3, 3, 0, 0, 4, 1, 2, 0, 4, 2, 2, 3, 0, 4, 1, 0, 4, 3, 3, 0, 3, 4, 4, 4, 2, 0, 3, 2, 2, 2, 3, 3, 2, 1, 3, 4, 2, 4, 2, 0, 3, 3, 0, 3, 0, 2, 2, 2, 2, 4, 1, 2, 0, 0, 3, 3, 2, 2, 4, 0, 4, 2, 0, 1, 4, 0, 2, 0, 3, 1, 0, 1, 0, 3, 0, 3, 4, 4, 3, 4, 0, 2, 1, 1, 2, 4, 1, 4, 3, 2, 1, 3, 0, 1, 3, 2, 4, 1, 2, 1, 0, 4, 1, 0, 1, 4, 2, 0, 3, 3, 1, 4, 3, 4, 1, 4, 4, 4, 2, 4, 1, 3, 3, 1, 0, 0, 0, 3, 2, 4, 2, 4, 0, 1, 2, 2, 0, 2, 2, 3, 1, 0, 0, 0, 2, 4, 3, 2, 1, 3, 3, 4, 3, 0, 3, 3, 2, 3, 4, 0, 4, 1, 2, 0, 0, 0, 4, 4, 0, 4, 3, 3, 1, 3, 4, 2, 2, 2, 0, 3, 0, 0, 2, 0, 3, 4, 4, 0, 0, 0, 3, 2, 2, 2, 0, 4, 3, 2, 1, 2, 4, 3, 2, 1, 0, 0, 3, 1, 4, 2, 2, 4, 2, 3, 0, 0, 0, 1, 2, 1, 4, 3, 1, 3, 2, 3, 0, 4, 4, 1, 0, 3, 0, 4, 4, 3, 0, 4, 0, 2, 0, 1, 3, 3, 1, 3, 3, 4, 4, 0, 3, 4, 3, 2, 4, 0, 0, 1, 1, 2, 0, 3, 0, 1, 0, 0, 1, 4, 0, 3, 2, 2, 0, 4, 1, 4, 3, 0, 2]
pubkeycol965 = [3, 3, 3, 3, 3, 2, 4, 3, 3, 4, 4, 0, 3, 3, 1, 1, 4, 4, 0, 0, 2, 4, 4, 2, 2, 0, 1, 3, 2, 3, 2, 4, 2, 3, 4, 3, 1, 1, 4, 4, 1, 3, 1, 4, 2, 0, 3, 4, 0, 4, 2, 1, 3, 3, 1, 3, 3, 4, 2, 3, 0, 0, 1, 4, 2, 1, 1, 2, 2, 1, 4, 3, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 4, 2, 2, 4, 4, 0, 4, 0, 2, 4, 4, 0, 0, 4, 3, 1, 3, 4, 0, 2, 0, 1, 2, 4, 1, 1, 0, 0, 4, 3, 1, 0, 4, 1, 4, 0, 2, 4, 2, 2, 3, 3, 0, 1, 2, 0, 4, 0, 4, 2, 2, 3, 0, 2, 1, 2, 1, 4, 4, 3, 3, 2, 0, 4, 0, 3, 0, 4, 3, 1, 3, 2, 0, 0, 2, 4, 3, 2, 2, 2, 4, 0, 3, 3, 1, 1, 3, 0, 2, 3, 2, 0, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 1, 1, 3, 3, 4, 4, 3, 0, 0, 2, 3, 2, 4, 1, 2, 1, 3, 2, 2, 4, 1, 3, 1, 3, 4, 2, 4, 4, 2, 4, 3, 2, 3, 0, 0, 4, 4, 4, 0, 2, 0, 4, 1, 2, 0, 2, 3, 0, 2, 1, 0, 2, 4, 3, 1, 4, 4, 3, 4, 4, 4, 1, 4, 0, 1, 3, 1, 3, 1, 4, 0, 0, 3, 2, 1, 4, 0, 3, 2, 3, 4, 2, 4, 2, 0, 1, 1, 3, 4, 0, 1, 0, 1, 3, 4, 3, 4, 1, 3, 2, 3, 2, 4, 4, 3, 3, 2, 2, 3, 1, 0, 3, 3, 2, 0, 3, 4, 1, 0, 2, 3, 2, 1, 0, 4, 4, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 2, 1, 4, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 4, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 4, 1, 4, 4, 3, 3, 3, 1, 0, 3, 0, 3, 0, 3, 2, 1, 1, 1, 1, 1, 0, 4, 3, 3, 2, 3, 4, 0, 4, 3, 1, 4, 1, 4, 0, 4, 1, 2, 4, 0, 3, 1, 1, 0, 4, 0, 4, 3, 4, 4, 2, 2, 3]
pubkeycol966 = [4, 3, 1, 0, 1, 1, 4, 0, 3, 1, 4, 2, 1, 3, 4, 1, 0, 3, 2, 4, 2, 2, 2, 1, 4, 1, 4, 1, 2, 0, 3, 3, 0, 4, 3, 0, 1, 0, 2, 3, 2, 4, 1, 4, 3, 2, 2, 0, 3, 3, 0, 4, 4, 3, 4, 1, 0, 1, 3, 4, 2, 4, 1, 2, 2, 0, 2, 1, 3, 2, 0, 1, 0, 4, 2, 3, 3, 3, 1, 0, 3, 3, 4, 2, 0, 4, 1, 4, 1, 1, 1, 4, 2, 2, 2, 0, 2, 0, 1, 1, 4, 0, 2, 2, 3, 4, 4, 3, 4, 4, 1, 1, 2, 0, 4, 0, 1, 3, 2, 4, 0, 1, 0, 4, 4, 1, 4, 0, 1, 4, 1, 0, 3, 4, 4, 3, 4, 1, 0, 3, 3, 4, 2, 3, 1, 4, 4, 2, 0, 4, 0, 1, 4, 2, 0, 3, 2, 2, 1, 0, 4, 1, 1, 0, 1, 2, 3, 0, 4, 1, 3, 0, 0, 3, 1, 3, 1, 1, 2, 1, 0, 1, 4, 4, 0, 0, 1, 2, 3, 4, 3, 0, 0, 1, 4, 1, 0, 4, 4, 1, 3, 1, 4, 4, 2, 4, 3, 1, 2, 4, 0, 3, 4, 3, 4, 1, 4, 0, 2, 4, 4, 3, 3, 4, 0, 1, 0, 1, 0, 4, 3, 4, 4, 0, 3, 0, 0, 2, 2, 2, 2, 3, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 3, 0, 1, 4, 3, 2, 3, 0, 3, 4, 1, 3, 1, 1, 4, 3, 1, 0, 2, 3, 0, 2, 3, 4, 0, 4, 4, 0, 4, 0, 2, 2, 1, 2, 0, 4, 3, 0, 0, 3, 1, 3, 1, 3, 1, 1, 2, 1, 2, 1, 3, 0, 4, 1, 4, 4, 0, 3, 0, 4, 2, 3, 0, 3, 4, 0, 1, 4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 4, 2, 1, 1, 3, 0, 4, 1, 0, 1, 3, 2, 3, 3, 3, 4, 2, 2, 2, 1, 4, 4, 0, 2, 3, 3, 2, 4, 2, 4, 3, 2, 4, 1, 0, 3, 3, 0, 1, 1, 0, 2, 2, 0, 2, 0, 4, 3, 4, 3, 0, 0, 2, 1, 4, 1, 4, 1, 0, 3, 1, 2, 3, 3, 1, 1, 3, 1]
pubkeycol967 = [4, 2, 0, 0, 4, 3, 0, 3, 2, 2, 2, 1, 2, 0, 3, 0, 2, 4, 1, 4, 1, 2, 2, 0, 1, 0, 4, 2, 0, 3, 4, 3, 0, 1, 3, 3, 3, 3, 1, 1, 0, 4, 3, 1, 3, 0, 2, 0, 3, 0, 0, 2, 4, 1, 2, 4, 1, 1, 1, 1, 2, 0, 2, 4, 2, 4, 3, 1, 4, 0, 1, 2, 0, 3, 3, 4, 4, 1, 3, 3, 1, 4, 3, 0, 1, 3, 0, 2, 4, 0, 2, 0, 4, 2, 3, 2, 1, 0, 3, 4, 3, 2, 0, 0, 4, 3, 4, 2, 2, 0, 4, 1, 1, 4, 3, 1, 3, 1, 3, 1, 3, 1, 2, 0, 4, 2, 0, 4, 1, 4, 3, 4, 2, 1, 4, 2, 2, 2, 3, 3, 3, 0, 2, 2, 4, 4, 4, 4, 3, 2, 1, 3, 3, 3, 3, 1, 4, 0, 3, 0, 4, 3, 0, 4, 1, 0, 1, 3, 2, 1, 4, 2, 0, 2, 4, 2, 3, 4, 4, 3, 2, 3, 4, 1, 4, 3, 0, 1, 3, 2, 0, 1, 3, 0, 1, 1, 0, 2, 3, 3, 0, 0, 4, 0, 3, 2, 3, 4, 3, 3, 4, 0, 3, 0, 3, 2, 2, 3, 3, 3, 0, 1, 4, 2, 4, 2, 2, 3, 1, 4, 3, 1, 4, 1, 3, 1, 1, 1, 1, 1, 2, 0, 3, 2, 3, 2, 3, 4, 3, 1, 0, 3, 2, 0, 1, 4, 2, 2, 2, 0, 4, 2, 4, 4, 2, 4, 1, 1, 0, 3, 4, 4, 4, 2, 0, 2, 0, 4, 3, 0, 1, 3, 3, 3, 4, 2, 2, 0, 1, 2, 3, 2, 3, 3, 3, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 3, 4, 4, 4, 4, 1, 2, 0, 0, 3, 1, 4, 4, 2, 1, 4, 0, 1, 4, 3, 0, 3, 1, 4, 0, 1, 3, 1, 1, 3, 2, 2, 3, 4, 3, 1, 3, 1, 3, 1, 2, 0, 4, 1, 1, 3, 4, 3, 2, 1, 0, 1, 1, 1, 0, 1, 0, 4, 1, 1, 0, 1, 3, 0, 1, 4, 3, 4, 0, 4, 1, 3, 2, 1, 1, 2, 1, 0, 4, 4, 0, 1, 3, 0, 3, 1, 4, 2, 1, 0, 0, 4, 1, 3, 4]
pubkeycol968 = [4, 1, 0, 2, 1, 3, 1, 4, 1, 3, 2, 1, 2, 4, 4, 0, 4, 4, 0, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 1, 0, 1, 0, 3, 4, 4, 0, 2, 4, 4, 2, 4, 3, 2, 0, 2, 1, 1, 1, 3, 0, 0, 3, 0, 0, 4, 3, 0, 1, 3, 3, 2, 3, 2, 1, 1, 3, 3, 1, 3, 4, 0, 0, 3, 4, 1, 4, 1, 1, 2, 0, 4, 3, 0, 4, 2, 2, 2, 4, 0, 0, 4, 3, 4, 0, 1, 1, 3, 0, 4, 3, 1, 3, 0, 3, 1, 4, 0, 0, 1, 0, 3, 4, 1, 4, 1, 4, 4, 3, 3, 3, 3, 1, 1, 4, 2, 2, 0, 2, 3, 2, 1, 4, 2, 4, 2, 1, 4, 3, 4, 3, 4, 2, 0, 3, 0, 3, 0, 0, 3, 2, 1, 0, 2, 1, 4, 3, 0, 1, 0, 0, 1, 3, 4, 4, 3, 3, 3, 2, 2, 4, 0, 4, 0, 1, 3, 1, 4, 0, 1, 3, 1, 4, 0, 0, 1, 0, 0, 4, 4, 4, 4, 4, 2, 0, 0, 3, 2, 4, 1, 2, 3, 0, 1, 2, 0, 1, 4, 0, 2, 4, 0, 0, 2, 2, 1, 1, 0, 2, 4, 1, 4, 0, 1, 2, 3, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 4, 0, 4, 4, 3, 1, 3, 2, 4, 2, 3, 1, 0, 2, 3, 4, 0, 0, 0, 3, 0, 2, 3, 1, 4, 4, 1, 0, 4, 0, 1, 2, 3, 2, 4, 2, 1, 3, 3, 4, 2, 0, 3, 4, 3, 3, 0, 2, 4, 2, 3, 0, 0, 3, 4, 4, 0, 2, 3, 0, 0, 2, 3, 3, 3, 2, 3, 1, 1, 1, 0, 3, 4, 1, 4, 3, 2, 0, 1, 4, 3, 4, 4, 3, 4, 0, 0, 4, 4, 1, 1, 3, 4, 2, 4, 3, 2, 1, 0, 3, 4, 0, 0, 2, 0, 2, 2, 3, 2, 3, 2, 3, 0, 2, 2, 4, 0, 3, 0, 2, 0, 4, 3, 3, 3, 2, 1, 1, 2, 1, 2, 0, 3, 2, 2, 4, 4, 4, 0, 4, 2, 1, 3, 3, 1, 2, 0, 3, 3, 3, 4, 2, 1, 4, 0, 0, 0, 1, 3, 0, 3, 2, 1, 2]
pubkeycol969 = [3, 0, 3, 2, 2, 2, 0, 1, 4, 4, 4, 3, 3, 0, 2, 3, 0, 4, 4, 1, 1, 0, 1, 4, 2, 4, 3, 3, 0, 2, 3, 3, 1, 1, 2, 0, 4, 3, 2, 1, 4, 1, 1, 4, 4, 2, 3, 1, 0, 2, 3, 1, 1, 3, 3, 1, 0, 4, 1, 2, 1, 1, 4, 0, 3, 0, 1, 0, 0, 1, 0, 3, 1, 4, 2, 3, 0, 2, 0, 4, 0, 2, 2, 0, 2, 2, 2, 0, 4, 3, 1, 0, 2, 0, 2, 3, 0, 3, 1, 4, 4, 3, 2, 1, 2, 1, 1, 3, 4, 3, 0, 0, 0, 1, 3, 3, 3, 0, 4, 3, 4, 4, 0, 4, 4, 1, 2, 3, 0, 3, 0, 2, 4, 4, 3, 1, 3, 4, 3, 1, 2, 0, 2, 3, 4, 4, 1, 2, 0, 1, 3, 1, 0, 1, 4, 3, 3, 4, 1, 2, 3, 0, 0, 3, 3, 1, 4, 0, 4, 2, 1, 2, 1, 1, 3, 0, 0, 4, 4, 4, 4, 2, 1, 3, 2, 1, 4, 0, 2, 4, 0, 0, 1, 4, 2, 4, 1, 1, 2, 2, 4, 1, 0, 2, 4, 1, 4, 4, 3, 2, 2, 0, 2, 2, 2, 4, 3, 0, 4, 0, 2, 3, 1, 2, 3, 0, 0, 0, 1, 2, 3, 1, 0, 3, 2, 3, 1, 4, 0, 3, 3, 4, 2, 0, 3, 4, 1, 3, 2, 4, 3, 0, 1, 0, 3, 1, 3, 4, 3, 2, 0, 4, 1, 3, 4, 2, 4, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 3, 0, 3, 0, 3, 4, 2, 1, 0, 2, 0, 4, 0, 4, 1, 1, 0, 2, 2, 4, 3, 0, 4, 1, 1, 1, 2, 3, 2, 2, 0, 2, 3, 0, 2, 2, 3, 1, 0, 1, 2, 0, 0, 3, 3, 1, 3, 4, 1, 1, 1, 1, 2, 0, 2, 0, 3, 4, 3, 4, 3, 0, 0, 1, 1, 3, 3, 0, 1, 0, 4, 0, 0, 0, 0, 4, 3, 3, 2, 2, 2, 0, 4, 4, 3, 3, 0, 1, 2, 0, 4, 3, 0, 1, 1, 0, 1, 0, 4, 4, 3, 0, 0, 2, 1, 3, 3, 1, 0, 0, 0, 0, 3, 3, 2]
pubkeycol970 = [4, 3, 0, 2, 3, 2, 2, 0, 1, 2, 3, 3, 3, 3, 0, 2, 3, 4, 0, 1, 2, 1, 1, 1, 4, 3, 2, 3, 4, 0, 3, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 3, 0, 4, 2, 2, 1, 3, 2, 2, 1, 0, 2, 0, 4, 0, 2, 0, 3, 3, 4, 0, 1, 2, 4, 0, 2, 0, 2, 3, 2, 3, 3, 4, 2, 3, 0, 4, 1, 1, 1, 2, 4, 0, 4, 1, 4, 0, 3, 2, 0, 4, 1, 0, 4, 1, 1, 3, 4, 4, 0, 1, 4, 1, 0, 0, 3, 4, 4, 1, 3, 3, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 3, 3, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 4, 3, 2, 3, 3, 2, 1, 2, 2, 0, 2, 1, 1, 2, 3, 3, 1, 3, 0, 2, 0, 2, 2, 0, 1, 2, 0, 4, 0, 1, 1, 0, 0, 1, 1, 3, 4, 2, 4, 3, 2, 3, 4, 3, 4, 0, 4, 4, 2, 1, 0, 2, 2, 1, 3, 2, 1, 1, 0, 4, 0, 0, 0, 1, 4, 0, 0, 4, 2, 3, 2, 2, 3, 4, 1, 1, 3, 3, 1, 2, 1, 3, 2, 2, 0, 2, 1, 0, 0, 3, 1, 1, 2, 0, 0, 3, 3, 3, 4, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 4, 0, 4, 1, 0, 3, 2, 4, 4, 1, 4, 4, 2, 0, 0, 4, 2, 3, 4, 2, 2, 4, 0, 2, 3, 1, 0, 3, 3, 3, 1, 2, 3, 2, 2, 2, 1, 0, 0, 3, 0, 1, 2, 0, 0, 4, 0, 1, 1, 3, 0, 2, 1, 2, 0, 3, 1, 0, 2, 1, 1, 0, 2, 2, 0, 3, 0, 3, 4, 3, 3, 1, 0, 3, 0, 0, 0, 2, 1, 3, 0, 3, 4, 1, 0, 4, 4, 1, 0, 1, 2, 2, 3, 0, 4, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 4, 0, 3, 1, 3, 1, 3, 4, 1, 1, 0, 3, 3, 0, 3, 4, 1, 0, 4, 4, 0, 1, 4, 1, 4, 0, 0, 2, 1, 3, 0, 3, 1, 3, 2, 3, 4, 3, 3, 2, 0, 0, 0, 0, 3, 3, 2, 2, 4]
pubkeycol971 = [3, 4, 0, 0, 0, 1, 1, 0, 1, 1, 3, 4, 4, 0, 4, 1, 3, 0, 2, 0, 4, 1, 1, 2, 2, 0, 1, 1, 3, 1, 0, 0, 1, 0, 0, 0, 1, 2, 3, 2, 1, 0, 2, 4, 3, 0, 3, 3, 4, 4, 3, 4, 2, 1, 0, 0, 4, 2, 3, 2, 2, 0, 4, 2, 4, 1, 0, 1, 3, 0, 0, 2, 3, 4, 4, 4, 3, 1, 1, 2, 3, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 2, 4, 1, 2, 2, 3, 4, 4, 0, 2, 1, 2, 0, 2, 2, 4, 1, 3, 4, 3, 2, 0, 0, 1, 0, 0, 2, 2, 4, 4, 4, 4, 1, 3, 0, 4, 2, 3, 3, 2, 1, 3, 0, 0, 1, 3, 4, 1, 2, 3, 0, 1, 3, 0, 3, 2, 2, 4, 0, 2, 1, 2, 3, 3, 1, 2, 2, 0, 0, 3, 4, 1, 2, 3, 0, 1, 3, 3, 3, 1, 0, 1, 2, 3, 3, 3, 3, 1, 4, 3, 0, 3, 0, 1, 4, 1, 3, 3, 1, 4, 2, 2, 2, 4, 2, 3, 0, 3, 4, 4, 4, 4, 1, 3, 4, 4, 3, 1, 0, 3, 2, 0, 2, 0, 3, 2, 3, 3, 0, 2, 3, 1, 0, 2, 2, 4, 2, 1, 4, 3, 0, 3, 1, 1, 3, 3, 3, 2, 3, 0, 3, 2, 3, 3, 2, 3, 3, 2, 4, 4, 4, 3, 0, 4, 1, 3, 4, 0, 2, 1, 2, 2, 4, 4, 1, 1, 1, 4, 4, 0, 0, 4, 2, 0, 1, 3, 3, 2, 3, 0, 3, 4, 4, 1, 2, 4, 2, 1, 2, 4, 3, 3, 2, 3, 4, 1, 3, 1, 4, 4, 1, 3, 2, 2, 0, 0, 1, 3, 3, 0, 0, 3, 4, 2, 4, 2, 2, 4, 0, 1, 4, 1, 0, 1, 1, 3, 4, 0, 0, 4, 2, 0, 4, 0, 4, 2, 1, 0, 3, 4, 2, 4, 3, 3, 2, 4, 1, 2, 3, 1, 0, 0, 2, 2, 4, 3, 3, 3, 4, 4, 4, 2, 2, 3, 1, 4, 2, 3, 0, 0, 2, 0, 1, 3, 1, 4, 4, 0, 1, 2, 4, 3, 0, 1, 2, 3, 1, 2, 4, 3, 4, 1, 0, 1, 2, 3, 4, 4, 0]
pubkeycol972 = [1, 1, 2, 2, 3, 3, 2, 1, 4, 4, 0, 1, 2, 2, 2, 1, 1, 4, 1, 3, 2, 4, 3, 0, 3, 3, 4, 1, 0, 3, 4, 0, 0, 4, 0, 2, 4, 1, 3, 1, 0, 0, 4, 3, 2, 2, 4, 3, 0, 1, 2, 0, 2, 2, 1, 2, 4, 1, 2, 1, 2, 1, 1, 0, 1, 4, 2, 0, 3, 3, 4, 4, 2, 2, 4, 1, 1, 0, 2, 4, 0, 4, 2, 4, 3, 3, 1, 0, 1, 3, 2, 4, 1, 2, 3, 1, 4, 4, 0, 4, 4, 2, 1, 2, 3, 3, 2, 2, 1, 4, 0, 1, 1, 2, 1, 3, 4, 1, 2, 1, 2, 3, 1, 2, 1, 1, 2, 0, 0, 2, 4, 3, 1, 3, 2, 0, 0, 4, 1, 3, 0, 0, 3, 2, 2, 0, 4, 2, 0, 1, 0, 3, 2, 3, 3, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 3, 4, 3, 4, 2, 0, 2, 2, 4, 4, 2, 3, 4, 1, 3, 4, 1, 3, 0, 4, 1, 4, 1, 4, 1, 4, 0, 1, 4, 4, 3, 3, 0, 2, 0, 2, 2, 0, 1, 3, 4, 0, 4, 0, 0, 1, 1, 1, 4, 3, 2, 0, 2, 3, 0, 3, 2, 4, 1, 2, 3, 0, 4, 0, 1, 2, 0, 0, 0, 4, 0, 1, 1, 4, 0, 3, 0, 2, 1, 3, 3, 1, 3, 4, 1, 1, 4, 3, 2, 3, 3, 3, 2, 2, 4, 1, 3, 0, 4, 1, 0, 0, 3, 4, 0, 3, 4, 4, 1, 2, 3, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 0, 4, 3, 4, 0, 3, 2, 1, 2, 0, 2, 4, 0, 3, 2, 1, 3, 2, 2, 1, 0, 2, 2, 0, 3, 3, 4, 1, 0, 4, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 4, 0, 1, 0, 0, 4, 2, 4, 3, 3, 1, 2, 3, 3, 1, 4, 4, 1, 0, 2, 1, 1, 3, 1, 4, 3, 1, 1, 4, 0, 3, 3, 4, 1, 4, 2, 2, 0, 3, 2, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 2, 1, 1, 2, 3, 2, 0, 2, 4, 3, 2, 3, 0, 2, 3, 1, 4, 3, 1, 4, 2, 2]
pubkeycol973 = [2, 1, 1, 1, 2, 4, 3, 4, 1, 2, 3, 2, 0, 2, 4, 3, 3, 1, 1, 0, 2, 3, 4, 2, 3, 4, 1, 3, 3, 3, 3, 3, 3, 4, 1, 3, 0, 2, 4, 4, 4, 3, 0, 3, 3, 2, 1, 4, 0, 0, 3, 3, 3, 1, 3, 1, 4, 3, 4, 2, 3, 2, 1, 1, 1, 4, 0, 4, 2, 1, 0, 1, 4, 3, 0, 1, 0, 1, 3, 3, 4, 1, 0, 1, 2, 2, 4, 3, 2, 3, 3, 2, 3, 1, 3, 0, 1, 2, 4, 1, 1, 2, 1, 4, 2, 4, 3, 1, 0, 1, 3, 4, 0, 3, 4, 0, 0, 4, 2, 2, 4, 2, 3, 3, 0, 3, 1, 4, 4, 3, 2, 2, 4, 2, 0, 0, 2, 2, 4, 2, 3, 1, 1, 1, 3, 0, 2, 2, 4, 1, 0, 3, 1, 2, 1, 4, 3, 2, 4, 2, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 1, 2, 3, 4, 4, 0, 2, 1, 3, 1, 1, 0, 0, 1, 3, 4, 0, 3, 1, 3, 0, 3, 2, 0, 3, 3, 0, 2, 1, 4, 2, 4, 2, 4, 4, 2, 2, 1, 3, 0, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 0, 2, 1, 4, 4, 4, 1, 2, 3, 0, 0, 1, 1, 2, 0, 3, 0, 3, 1, 0, 2, 2, 4, 0, 2, 4, 0, 1, 0, 4, 3, 2, 0, 0, 4, 3, 2, 1, 0, 4, 4, 1, 4, 1, 0, 4, 3, 3, 4, 4, 1, 4, 2, 0, 4, 1, 0, 3, 3, 4, 2, 0, 4, 1, 3, 1, 3, 2, 1, 3, 4, 1, 4, 0, 0, 1, 0, 1, 3, 3, 1, 2, 3, 0, 4, 4, 2, 3, 0, 1, 0, 3, 2, 4, 3, 0, 3, 0, 2, 2, 0, 3, 2, 3, 0, 0, 1, 1, 2, 3, 4, 0, 0, 0, 0, 3, 4, 1, 3, 3, 2, 1, 1, 0, 4, 3, 4, 4, 3, 1, 4, 3, 1, 1, 3, 1, 4, 0, 0, 0, 2, 4, 1, 0, 1, 2, 0, 4, 2, 0, 2, 3, 4, 1, 2, 0, 2, 3, 4, 0, 1, 1, 2, 4, 3, 0, 1, 2, 0, 0, 1, 4, 4, 4, 1, 2, 1, 2, 4, 0]
pubkeycol974 = [2, 3, 0, 4, 4, 3, 2, 3, 1, 1, 1, 0, 4, 4, 0, 3, 4, 1, 3, 2, 3, 0, 0, 0, 2, 1, 3, 2, 1, 1, 3, 4, 1, 4, 4, 0, 4, 1, 4, 1, 1, 4, 1, 4, 3, 1, 2, 3, 0, 3, 0, 3, 1, 4, 1, 0, 4, 0, 0, 1, 1, 0, 0, 4, 1, 3, 0, 1, 0, 4, 4, 0, 0, 4, 3, 2, 3, 2, 4, 3, 3, 2, 0, 4, 3, 4, 1, 1, 3, 1, 1, 3, 4, 3, 2, 2, 4, 2, 2, 0, 0, 3, 2, 1, 1, 3, 0, 2, 1, 1, 0, 0, 1, 2, 3, 1, 2, 1, 2, 4, 3, 3, 3, 4, 4, 0, 0, 3, 2, 3, 3, 1, 1, 2, 4, 0, 4, 1, 4, 4, 0, 1, 0, 2, 3, 4, 4, 0, 3, 2, 4, 1, 3, 2, 4, 4, 4, 2, 3, 1, 3, 2, 0, 1, 3, 0, 2, 0, 2, 4, 2, 0, 1, 4, 4, 0, 1, 4, 0, 1, 1, 1, 2, 0, 3, 2, 3, 0, 2, 2, 1, 4, 1, 4, 2, 0, 2, 1, 3, 0, 3, 0, 3, 4, 0, 1, 2, 1, 3, 0, 3, 0, 4, 0, 2, 3, 2, 3, 4, 0, 1, 4, 2, 0, 2, 4, 2, 3, 3, 4, 4, 0, 3, 2, 2, 1, 4, 2, 0, 2, 2, 3, 2, 4, 4, 4, 0, 4, 3, 4, 3, 1, 4, 3, 0, 0, 4, 3, 1, 4, 1, 4, 2, 3, 2, 1, 2, 4, 1, 1, 3, 4, 2, 0, 0, 1, 4, 3, 4, 1, 4, 4, 1, 4, 1, 4, 3, 4, 1, 2, 4, 0, 1, 3, 3, 0, 4, 4, 2, 3, 2, 3, 2, 1, 2, 4, 2, 2, 3, 4, 2, 1, 0, 1, 3, 0, 3, 2, 1, 1, 2, 0, 0, 3, 3, 0, 4, 2, 0, 2, 3, 3, 1, 1, 3, 0, 2, 0, 2, 2, 1, 1, 4, 0, 2, 3, 2, 0, 1, 2, 3, 4, 4, 1, 2, 2, 3, 4, 1, 3, 3, 2, 2, 1, 4, 4, 1, 0, 3, 1, 1, 1, 3, 3, 3, 2, 1, 2, 1, 1, 3, 1, 2, 4, 1, 0, 3, 1, 3, 1, 3, 4, 0, 1, 1, 2, 0, 3, 4, 4]
pubkeycol975 = [3, 3, 4, 1, 2, 1, 0, 3, 4, 3, 1, 3, 3, 3, 3, 2, 1, 1, 1, 3, 1, 1, 4, 2, 4, 1, 1, 1, 0, 0, 3, 4, 4, 4, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 0, 1, 2, 0, 4, 1, 2, 2, 0, 4, 2, 4, 2, 2, 3, 0, 4, 1, 4, 0, 2, 0, 1, 2, 0, 3, 0, 1, 4, 0, 3, 0, 0, 0, 3, 1, 1, 0, 4, 3, 3, 0, 0, 2, 4, 4, 3, 0, 2, 2, 3, 4, 2, 0, 2, 3, 3, 0, 2, 2, 2, 2, 1, 4, 2, 2, 1, 0, 0, 3, 2, 0, 4, 2, 1, 4, 2, 2, 4, 2, 2, 4, 1, 4, 4, 1, 3, 4, 2, 2, 2, 4, 4, 4, 2, 4, 0, 0, 4, 1, 0, 3, 4, 4, 1, 2, 1, 1, 1, 2, 3, 2, 3, 2, 2, 3, 3, 2, 0, 2, 1, 3, 1, 1, 2, 1, 0, 3, 2, 2, 2, 0, 4, 1, 1, 3, 0, 3, 1, 4, 2, 4, 4, 4, 4, 0, 1, 4, 2, 4, 2, 0, 2, 3, 4, 2, 1, 4, 0, 2, 4, 0, 1, 2, 0, 0, 2, 0, 2, 4, 2, 3, 3, 0, 4, 3, 1, 4, 3, 4, 1, 4, 0, 2, 4, 0, 4, 2, 4, 0, 0, 1, 2, 0, 3, 0, 2, 3, 2, 1, 3, 0, 1, 3, 4, 2, 2, 3, 2, 1, 4, 3, 0, 0, 0, 4, 3, 3, 3, 1, 1, 2, 0, 0, 0, 3, 4, 3, 1, 2, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 3, 1, 4, 2, 1, 0, 3, 0, 3, 4, 1, 4, 0, 4, 1, 1, 1, 3, 1, 0, 1, 4, 1, 2, 1, 1, 4, 2, 2, 2, 2, 0, 0, 0, 3, 4, 0, 4, 1, 0, 2, 3, 2, 2, 4, 0, 1, 0, 3, 2, 3, 4, 3, 4, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 4, 0, 2, 2, 4, 2, 3, 2, 2, 4, 0, 4, 1, 4, 4, 2, 2, 4, 2, 2, 4, 3, 0, 4, 3, 2, 2, 2, 0, 0, 0, 0, 2, 2, 4, 0, 4, 4, 4, 4, 1]
pubkeycol976 = [4, 0, 1, 0, 0, 0, 4, 3, 1, 0, 0, 0, 0, 1, 4, 2, 1, 3, 0, 1, 1, 4, 3, 0, 1, 3, 3, 1, 4, 4, 1, 1, 3, 4, 0, 1, 3, 2, 3, 3, 1, 0, 3, 0, 0, 4, 3, 1, 1, 0, 4, 0, 1, 0, 0, 0, 4, 4, 1, 3, 4, 3, 0, 4, 2, 2, 0, 0, 0, 1, 0, 1, 2, 3, 1, 3, 4, 2, 2, 4, 4, 3, 2, 3, 4, 2, 4, 2, 4, 4, 2, 0, 1, 3, 2, 2, 4, 1, 1, 2, 1, 1, 0, 2, 1, 3, 0, 0, 0, 2, 1, 1, 2, 1, 4, 0, 0, 2, 3, 4, 1, 4, 3, 4, 3, 4, 3, 3, 2, 3, 3, 0, 2, 0, 2, 4, 1, 0, 1, 3, 1, 4, 1, 1, 4, 2, 0, 3, 2, 4, 1, 0, 3, 0, 3, 3, 4, 4, 4, 1, 0, 3, 4, 0, 2, 3, 0, 3, 1, 4, 3, 1, 3, 0, 4, 1, 1, 4, 0, 1, 4, 4, 2, 3, 3, 2, 4, 1, 1, 1, 4, 0, 4, 3, 2, 3, 4, 3, 2, 0, 4, 1, 0, 2, 2, 3, 1, 3, 0, 0, 2, 2, 2, 4, 3, 0, 1, 4, 0, 4, 3, 1, 0, 4, 0, 1, 2, 1, 0, 2, 2, 0, 0, 4, 4, 4, 1, 3, 4, 4, 2, 2, 2, 4, 3, 1, 3, 3, 4, 1, 1, 3, 3, 0, 4, 0, 4, 4, 0, 4, 2, 1, 2, 3, 0, 0, 1, 4, 0, 3, 1, 4, 3, 4, 3, 2, 4, 4, 3, 0, 1, 0, 4, 0, 1, 3, 3, 2, 4, 2, 0, 4, 1, 2, 1, 4, 0, 3, 1, 0, 1, 1, 4, 0, 3, 4, 2, 3, 0, 2, 3, 3, 2, 3, 0, 2, 2, 4, 4, 0, 3, 3, 4, 0, 0, 4, 2, 1, 2, 0, 0, 3, 3, 0, 1, 3, 1, 4, 1, 2, 1, 3, 2, 1, 3, 0, 0, 4, 3, 1, 4, 3, 2, 1, 2, 2, 1, 1, 3, 1, 3, 0, 1, 4, 0, 2, 2, 3, 3, 4, 4, 1, 3, 0, 1, 2, 3, 4, 2, 3, 1, 2, 3, 3, 0, 1, 3, 0, 2, 3, 3, 0, 4, 4, 2, 2, 3, 3, 0, 1]
pubkeycol977 = [4, 4, 3, 3, 1, 1, 4, 1, 0, 1, 4, 2, 1, 3, 4, 1, 2, 4, 0, 3, 3, 3, 2, 0, 3, 0, 0, 0, 3, 3, 0, 0, 1, 0, 1, 0, 4, 0, 3, 3, 0, 2, 4, 0, 4, 2, 0, 2, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 4, 1, 0, 2, 4, 1, 1, 3, 0, 1, 3, 1, 2, 0, 2, 1, 1, 1, 4, 1, 1, 2, 1, 2, 4, 3, 1, 0, 1, 4, 2, 3, 0, 0, 3, 1, 0, 0, 1, 1, 2, 4, 1, 1, 3, 0, 0, 0, 3, 4, 2, 0, 4, 0, 0, 4, 1, 0, 0, 1, 4, 0, 0, 3, 1, 4, 0, 2, 2, 2, 0, 0, 4, 0, 2, 2, 4, 0, 1, 3, 3, 1, 3, 3, 0, 3, 1, 0, 4, 2, 4, 1, 2, 0, 2, 0, 0, 2, 1, 3, 0, 1, 4, 1, 4, 0, 4, 4, 4, 1, 0, 4, 1, 0, 4, 3, 2, 1, 4, 4, 1, 4, 0, 0, 2, 1, 0, 2, 2, 3, 1, 1, 2, 3, 1, 0, 3, 3, 0, 0, 3, 3, 4, 3, 4, 2, 4, 0, 1, 1, 0, 4, 1, 1, 0, 0, 2, 0, 3, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 4, 1, 1, 0, 2, 3, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 3, 1, 0, 3, 0, 1, 0, 0, 4, 3, 3, 0, 1, 1, 0, 1, 0, 1, 2, 1, 3, 3, 3, 0, 2, 2, 0, 2, 4, 4, 3, 1, 4, 3, 3, 3, 2, 3, 2, 3, 0, 1, 2, 2, 2, 0, 2, 1, 3, 1, 0, 0, 2, 1, 3, 3, 4, 2, 3, 0, 4, 4, 1, 1, 0, 1, 3, 1, 3, 3, 0, 4, 1, 1, 2, 4, 1, 2, 1, 1, 3, 4, 0, 1, 0, 0, 4, 1, 1, 0, 2, 4, 2, 4, 3, 4, 0, 0, 4, 3, 0, 3, 3, 2, 0, 3, 0, 2, 3, 0, 2, 2, 4, 4, 4, 2, 3, 2, 4, 0, 2, 2, 3, 1, 1, 2, 4, 0, 1, 1, 1, 0, 0, 4, 1, 1, 3, 2, 4, 4, 1, 0, 2, 1, 3, 2, 2, 4, 2, 0, 4]
pubkeycol978 = [0, 0, 1, 3, 4, 3, 3, 0, 0, 0, 4, 2, 0, 2, 4, 4, 2, 0, 1, 0, 2, 1, 1, 4, 4, 2, 3, 1, 4, 0, 1, 2, 0, 4, 3, 3, 1, 4, 2, 2, 3, 1, 4, 0, 0, 1, 0, 3, 2, 3, 1, 1, 4, 3, 3, 2, 3, 2, 3, 3, 1, 0, 0, 3, 0, 0, 1, 2, 4, 4, 3, 2, 4, 4, 4, 4, 1, 3, 2, 2, 2, 2, 1, 0, 2, 2, 1, 3, 3, 3, 3, 4, 1, 1, 1, 0, 3, 1, 3, 2, 3, 4, 1, 2, 3, 3, 3, 0, 2, 4, 0, 3, 1, 1, 1, 2, 4, 3, 2, 4, 0, 3, 0, 2, 0, 2, 3, 2, 3, 4, 4, 2, 2, 2, 0, 0, 1, 2, 3, 1, 2, 1, 3, 0, 4, 3, 0, 4, 0, 2, 4, 0, 3, 1, 0, 0, 3, 2, 1, 2, 0, 4, 4, 0, 4, 0, 1, 3, 0, 0, 3, 3, 2, 2, 4, 1, 2, 3, 0, 2, 4, 1, 2, 2, 4, 3, 1, 4, 2, 2, 1, 1, 3, 1, 1, 3, 0, 2, 2, 2, 3, 4, 3, 3, 0, 2, 0, 4, 3, 3, 1, 0, 2, 4, 2, 2, 2, 2, 3, 1, 0, 2, 2, 0, 0, 4, 4, 1, 2, 3, 4, 4, 1, 0, 2, 3, 3, 1, 4, 2, 0, 4, 3, 0, 0, 2, 2, 3, 4, 1, 1, 2, 3, 4, 2, 4, 3, 2, 0, 3, 4, 1, 4, 4, 4, 0, 3, 2, 1, 1, 0, 1, 4, 3, 4, 0, 4, 1, 0, 4, 1, 0, 0, 0, 2, 3, 4, 4, 1, 4, 0, 0, 2, 4, 1, 3, 3, 2, 4, 0, 0, 0, 0, 0, 0, 3, 1, 0, 1, 0, 2, 2, 0, 4, 1, 2, 1, 2, 2, 3, 4, 3, 0, 3, 0, 1, 3, 0, 4, 3, 0, 0, 2, 0, 3, 3, 0, 3, 3, 3, 4, 4, 4, 1, 1, 1, 3, 4, 2, 3, 0, 1, 0, 3, 0, 2, 4, 0, 3, 3, 0, 4, 2, 0, 4, 2, 1, 2, 0, 3, 2, 2, 0, 3, 2, 2, 2, 4, 1, 3, 4, 0, 4, 1, 3, 1, 1, 0, 4, 2, 4, 0, 4, 4, 1, 1, 1, 2, 4, 1]
pubkeycol979 = [4, 4, 0, 2, 2, 1, 2, 1, 1, 1, 1, 3, 4, 2, 2, 3, 3, 4, 4, 0, 2, 1, 3, 0, 4, 1, 2, 2, 4, 1, 2, 0, 0, 3, 3, 3, 1, 0, 2, 3, 0, 3, 2, 2, 0, 0, 1, 1, 0, 4, 0, 4, 1, 3, 0, 0, 4, 4, 2, 0, 1, 1, 0, 2, 4, 3, 4, 4, 0, 3, 1, 0, 0, 3, 3, 3, 0, 1, 0, 2, 2, 4, 3, 0, 0, 2, 0, 2, 2, 2, 3, 1, 0, 4, 3, 1, 3, 2, 4, 4, 1, 0, 4, 2, 3, 4, 2, 4, 0, 3, 4, 2, 0, 1, 3, 3, 2, 4, 3, 3, 3, 0, 3, 4, 3, 3, 1, 4, 2, 3, 1, 3, 4, 1, 4, 0, 0, 3, 4, 2, 3, 1, 4, 2, 0, 0, 2, 1, 3, 1, 2, 3, 0, 4, 4, 1, 4, 0, 3, 0, 0, 0, 3, 0, 1, 1, 0, 0, 3, 0, 2, 1, 3, 3, 1, 1, 1, 4, 4, 3, 1, 2, 3, 0, 1, 2, 4, 3, 0, 1, 1, 0, 4, 4, 3, 0, 2, 1, 0, 1, 3, 3, 1, 2, 2, 3, 0, 2, 0, 1, 3, 3, 0, 0, 3, 1, 3, 4, 2, 2, 4, 0, 4, 3, 0, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 0, 2, 0, 4, 3, 2, 2, 1, 1, 1, 1, 0, 2, 2, 4, 2, 2, 4, 3, 3, 0, 4, 0, 2, 3, 0, 3, 2, 4, 0, 0, 3, 2, 4, 3, 0, 3, 0, 1, 3, 0, 1, 3, 4, 4, 1, 2, 0, 1, 1, 3, 2, 4, 3, 3, 3, 4, 2, 4, 4, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 3, 0, 0, 0, 2, 3, 1, 3, 0, 2, 0, 1, 0, 2, 0, 4, 4, 3, 4, 1, 4, 3, 2, 0, 0, 1, 0, 0, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4, 3, 3, 3, 1, 0, 2, 4, 2, 3, 2, 2, 4, 2, 3, 1, 3, 0, 2, 0, 3, 0, 0, 4, 4, 0, 2, 4, 1, 2, 1, 0, 4, 0, 2, 4, 0, 3, 3, 1, 0, 0, 1, 0, 0, 1, 2, 4, 0, 4, 4, 4, 2, 2, 0, 4, 3]
pubkeycol980 = [3, 1, 0, 0, 2, 0, 4, 0, 4, 1, 4, 2, 1, 0, 0, 3, 4, 3, 3, 0, 2, 0, 2, 1, 2, 1, 0, 4, 2, 3, 4, 2, 0, 4, 4, 3, 3, 3, 4, 1, 0, 0, 4, 0, 4, 2, 1, 1, 0, 1, 2, 2, 2, 4, 3, 4, 3, 2, 3, 1, 3, 2, 3, 4, 3, 0, 0, 0, 2, 2, 1, 1, 2, 2, 3, 3, 1, 0, 4, 3, 4, 0, 3, 0, 1, 1, 0, 3, 2, 3, 0, 1, 3, 1, 4, 2, 1, 2, 3, 4, 0, 2, 0, 0, 0, 4, 0, 3, 4, 2, 4, 4, 0, 3, 4, 1, 2, 2, 4, 2, 1, 2, 2, 0, 4, 4, 4, 4, 2, 4, 3, 4, 2, 4, 0, 0, 3, 0, 3, 4, 0, 3, 0, 0, 1, 2, 4, 1, 3, 0, 0, 4, 0, 3, 4, 1, 3, 2, 0, 4, 3, 2, 1, 3, 1, 0, 3, 0, 0, 1, 3, 4, 2, 3, 1, 3, 0, 4, 2, 3, 3, 3, 0, 0, 3, 1, 1, 3, 1, 1, 0, 3, 4, 2, 4, 3, 0, 3, 3, 3, 4, 1, 4, 0, 1, 0, 1, 4, 4, 1, 0, 2, 0, 1, 2, 2, 2, 4, 1, 1, 4, 1, 3, 1, 1, 2, 4, 1, 4, 3, 4, 0, 4, 0, 3, 1, 1, 1, 0, 1, 2, 4, 1, 0, 2, 2, 2, 3, 3, 0, 1, 3, 4, 1, 1, 3, 2, 4, 2, 1, 0, 3, 2, 1, 0, 0, 4, 3, 0, 4, 2, 2, 3, 4, 4, 0, 2, 0, 3, 2, 3, 0, 2, 3, 1, 0, 3, 4, 3, 1, 3, 4, 2, 2, 2, 4, 4, 0, 1, 0, 2, 2, 1, 4, 1, 0, 0, 2, 4, 1, 2, 2, 4, 0, 1, 1, 0, 2, 3, 0, 1, 2, 3, 4, 2, 2, 2, 0, 3, 1, 0, 0, 2, 0, 2, 1, 3, 0, 0, 2, 3, 4, 1, 0, 3, 4, 2, 4, 1, 2, 4, 3, 2, 3, 4, 2, 4, 4, 1, 4, 3, 3, 4, 0, 4, 0, 1, 1, 1, 4, 0, 2, 2, 3, 4, 3, 2, 2, 2, 4, 2, 2, 3, 4, 4, 4, 1, 0, 3, 4, 3, 0, 3, 1, 3, 2, 4, 3, 3, 0]
pubkeycol981 = [0, 0, 3, 3, 4, 1, 4, 0, 4, 4, 2, 1, 1, 2, 4, 1, 2, 2, 2, 0, 2, 4, 1, 2, 3, 3, 3, 0, 0, 0, 4, 4, 3, 1, 4, 1, 3, 4, 1, 1, 3, 1, 4, 4, 2, 1, 2, 1, 0, 1, 1, 3, 1, 2, 2, 4, 0, 3, 4, 1, 2, 3, 4, 0, 2, 0, 1, 2, 3, 0, 1, 0, 3, 2, 0, 2, 1, 1, 1, 2, 4, 2, 0, 1, 0, 3, 1, 4, 1, 3, 4, 3, 1, 3, 4, 1, 4, 0, 0, 4, 2, 3, 4, 2, 3, 4, 3, 2, 1, 4, 2, 4, 3, 3, 3, 4, 2, 4, 1, 1, 3, 3, 2, 0, 1, 1, 4, 2, 0, 3, 3, 4, 0, 4, 1, 2, 0, 2, 2, 1, 0, 2, 1, 4, 3, 0, 1, 2, 4, 4, 4, 0, 2, 4, 4, 1, 4, 4, 2, 3, 4, 1, 4, 3, 4, 3, 1, 1, 2, 0, 4, 1, 1, 0, 1, 3, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 3, 3, 4, 3, 4, 1, 0, 3, 4, 2, 0, 2, 2, 3, 3, 3, 2, 4, 2, 3, 2, 4, 1, 3, 2, 1, 0, 3, 1, 4, 0, 4, 4, 0, 3, 0, 2, 0, 2, 4, 0, 1, 1, 1, 2, 2, 3, 2, 3, 1, 0, 0, 1, 4, 0, 3, 0, 1, 0, 1, 1, 1, 2, 3, 2, 4, 1, 2, 0, 1, 2, 0, 2, 0, 0, 3, 1, 2, 0, 1, 0, 3, 0, 4, 2, 0, 3, 1, 0, 1, 1, 0, 3, 3, 4, 0, 3, 2, 1, 3, 2, 1, 2, 2, 4, 3, 1, 3, 3, 1, 0, 3, 0, 0, 0, 0, 3, 2, 1, 2, 0, 0, 2, 3, 4, 1, 0, 4, 1, 0, 2, 2, 4, 0, 1, 2, 4, 2, 1, 2, 4, 2, 2, 2, 1, 3, 1, 3, 1, 3, 2, 1, 1, 0, 2, 2, 4, 2, 2, 2, 0, 3, 3, 4, 1, 0, 1, 4, 4, 3, 4, 0, 2, 3, 2, 2, 0, 2, 4, 4, 4, 3, 2, 3, 0, 1, 2, 2, 3, 2, 4, 0, 2, 2, 3, 0, 4, 0, 0, 4, 2, 1, 0, 1, 3, 4, 1, 2, 2, 3, 3, 0, 2, 4]
pubkeycol982 = [3, 3, 1, 1, 4, 1, 4, 0, 1, 2, 1, 2, 0, 0, 2, 3, 2, 0, 0, 1, 3, 4, 0, 0, 4, 0, 4, 1, 4, 3, 2, 2, 1, 0, 3, 4, 4, 2, 3, 1, 3, 2, 0, 1, 3, 2, 4, 2, 4, 2, 1, 3, 3, 0, 0, 4, 0, 1, 4, 1, 4, 1, 4, 3, 4, 4, 3, 2, 3, 4, 2, 0, 1, 0, 4, 3, 3, 1, 0, 1, 3, 0, 1, 3, 0, 0, 1, 3, 1, 4, 4, 0, 2, 3, 4, 2, 1, 1, 4, 4, 3, 3, 4, 2, 1, 1, 3, 3, 4, 1, 0, 1, 1, 0, 4, 4, 1, 3, 1, 1, 4, 3, 0, 1, 4, 2, 4, 0, 0, 1, 1, 2, 3, 2, 0, 3, 3, 1, 0, 2, 4, 4, 4, 3, 2, 3, 2, 4, 2, 3, 2, 0, 2, 0, 3, 0, 0, 3, 3, 2, 2, 0, 4, 3, 0, 2, 0, 4, 0, 3, 0, 2, 3, 0, 1, 3, 2, 0, 3, 1, 0, 0, 4, 4, 3, 3, 2, 0, 3, 0, 1, 4, 0, 4, 3, 2, 1, 1, 0, 4, 4, 4, 2, 1, 0, 2, 4, 4, 3, 3, 2, 0, 0, 0, 3, 0, 3, 1, 1, 0, 2, 4, 3, 1, 0, 1, 3, 0, 0, 4, 4, 3, 3, 1, 1, 3, 2, 3, 0, 0, 0, 1, 1, 1, 3, 4, 2, 4, 4, 1, 0, 4, 1, 1, 4, 0, 4, 0, 1, 1, 3, 4, 1, 4, 3, 3, 0, 4, 1, 0, 0, 3, 3, 4, 0, 0, 4, 2, 0, 0, 0, 0, 2, 0, 2, 4, 3, 3, 3, 0, 1, 4, 3, 4, 4, 2, 3, 4, 3, 4, 1, 3, 4, 3, 2, 3, 1, 3, 4, 1, 3, 4, 1, 1, 0, 3, 1, 1, 2, 2, 1, 3, 4, 4, 2, 1, 3, 4, 1, 4, 1, 2, 1, 1, 1, 3, 0, 1, 1, 2, 0, 3, 1, 2, 4, 3, 0, 1, 3, 2, 3, 0, 3, 0, 2, 3, 4, 3, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 4, 2, 2, 1, 4, 0, 4, 0, 2, 4, 1, 3, 0, 0, 4, 4, 2, 3, 1, 0, 3, 1, 1, 3, 1, 1, 0, 0, 0, 2, 1]
pubkeycol983 = [0, 3, 1, 0, 3, 1, 2, 1, 4, 2, 3, 2, 3, 2, 4, 0, 2, 1, 2, 3, 2, 1, 1, 3, 3, 1, 0, 4, 2, 1, 1, 4, 0, 2, 3, 1, 1, 2, 4, 3, 2, 4, 4, 3, 0, 0, 4, 1, 1, 0, 1, 1, 0, 4, 3, 0, 1, 1, 2, 4, 0, 1, 3, 1, 0, 4, 2, 1, 1, 2, 4, 0, 0, 4, 2, 0, 1, 4, 0, 4, 3, 1, 0, 4, 2, 0, 2, 4, 3, 0, 2, 2, 1, 3, 2, 3, 1, 4, 2, 2, 1, 3, 4, 0, 0, 3, 0, 2, 3, 4, 0, 2, 4, 0, 2, 3, 4, 3, 0, 2, 3, 2, 2, 2, 4, 2, 2, 3, 2, 0, 1, 0, 3, 1, 0, 4, 0, 1, 2, 2, 4, 1, 0, 1, 1, 4, 0, 0, 3, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 4, 2, 4, 4, 1, 3, 3, 2, 4, 2, 3, 4, 1, 3, 2, 0, 0, 0, 0, 0, 1, 0, 3, 1, 4, 0, 2, 2, 4, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 4, 1, 4, 4, 2, 1, 2, 0, 0, 0, 1, 1, 4, 2, 2, 2, 2, 4, 3, 3, 4, 1, 3, 4, 3, 1, 3, 3, 0, 3, 1, 3, 3, 4, 4, 0, 4, 3, 0, 0, 0, 1, 4, 3, 4, 3, 1, 3, 1, 4, 2, 0, 1, 4, 0, 3, 4, 2, 3, 3, 1, 4, 4, 3, 2, 0, 3, 4, 3, 2, 0, 2, 1, 1, 4, 0, 4, 0, 4, 2, 4, 2, 1, 3, 3, 0, 4, 0, 0, 4, 1, 1, 0, 2, 4, 3, 1, 1, 4, 3, 1, 4, 2, 4, 1, 3, 2, 4, 1, 3, 3, 0, 3, 2, 3, 1, 1, 1, 2, 0, 2, 2, 3, 1, 3, 0, 3, 4, 2, 1, 3, 3, 3, 1, 3, 2, 0, 0, 3, 0, 4, 1, 0, 4, 2, 0, 3, 1, 2, 0, 2, 0, 0, 4, 3, 1, 2, 2, 4, 1, 0, 3, 4, 0, 1, 0, 3, 3, 1, 4, 4, 1, 0, 1, 2, 2, 4, 3, 4, 2, 1, 3, 1, 1, 1, 2, 4, 1, 4, 2, 4, 1, 1, 1, 4, 2, 1, 2, 2, 2, 3]
pubkeycol984 = [3, 0, 4, 3, 1, 1, 2, 2, 3, 4, 0, 3, 4, 4, 2, 2, 0, 3, 2, 2, 4, 2, 4, 0, 0, 4, 1, 2, 1, 3, 3, 0, 1, 4, 1, 2, 2, 4, 0, 0, 2, 0, 3, 4, 4, 0, 3, 2, 2, 3, 0, 1, 3, 2, 3, 1, 3, 3, 2, 2, 4, 4, 0, 1, 4, 2, 3, 0, 4, 2, 4, 1, 1, 1, 2, 0, 3, 4, 3, 1, 4, 1, 2, 3, 0, 2, 4, 2, 0, 4, 2, 2, 1, 2, 3, 2, 3, 0, 4, 4, 3, 4, 0, 2, 4, 4, 1, 1, 2, 2, 3, 3, 0, 1, 0, 1, 4, 3, 4, 1, 2, 0, 2, 4, 1, 4, 0, 4, 2, 1, 2, 0, 3, 2, 1, 1, 2, 3, 4, 2, 0, 1, 3, 2, 4, 0, 1, 1, 1, 0, 0, 2, 3, 1, 4, 0, 0, 4, 1, 1, 3, 3, 2, 3, 1, 2, 0, 0, 2, 1, 4, 3, 4, 0, 4, 4, 3, 3, 3, 3, 1, 0, 2, 0, 0, 3, 3, 3, 0, 1, 0, 0, 4, 4, 1, 3, 1, 1, 0, 3, 4, 3, 4, 3, 2, 4, 3, 4, 0, 3, 3, 1, 3, 2, 4, 0, 0, 4, 2, 4, 2, 1, 2, 1, 0, 0, 0, 4, 0, 3, 3, 1, 3, 0, 3, 1, 4, 0, 0, 3, 0, 1, 3, 2, 2, 1, 0, 0, 0, 0, 3, 3, 1, 1, 2, 0, 3, 1, 0, 0, 2, 1, 1, 0, 3, 1, 0, 1, 0, 2, 2, 3, 2, 4, 1, 4, 0, 3, 3, 1, 4, 4, 1, 4, 4, 2, 2, 0, 1, 2, 3, 3, 3, 3, 3, 2, 3, 2, 0, 3, 3, 3, 2, 3, 4, 2, 2, 3, 4, 1, 4, 2, 3, 2, 1, 0, 4, 3, 2, 4, 1, 0, 1, 2, 1, 2, 1, 4, 2, 2, 0, 4, 0, 4, 3, 2, 3, 4, 3, 4, 3, 1, 0, 2, 0, 0, 1, 4, 2, 3, 3, 1, 4, 3, 0, 2, 3, 4, 1, 0, 3, 4, 3, 1, 3, 3, 2, 3, 3, 2, 0, 0, 0, 3, 0, 2, 1, 4, 2, 2, 3, 0, 0, 2, 1, 0, 4, 4, 4, 2, 3, 1, 1, 1, 2, 0, 2, 4, 2, 4]
pubkeycol985 = [0, 1, 2, 1, 3, 3, 0, 1, 3, 4, 1, 1, 3, 0, 3, 2, 4, 1, 3, 2, 2, 1, 1, 4, 4, 1, 4, 0, 2, 4, 1, 4, 1, 1, 0, 3, 2, 2, 1, 4, 4, 2, 3, 0, 2, 2, 3, 3, 1, 4, 0, 2, 4, 2, 1, 2, 2, 3, 2, 1, 2, 4, 2, 4, 2, 3, 1, 4, 1, 4, 0, 1, 3, 2, 4, 1, 3, 4, 2, 1, 4, 4, 3, 4, 3, 3, 3, 0, 0, 3, 4, 0, 2, 4, 4, 4, 3, 0, 2, 2, 0, 4, 3, 2, 2, 4, 1, 1, 0, 4, 1, 0, 2, 3, 4, 0, 4, 3, 1, 1, 2, 4, 1, 3, 2, 2, 3, 1, 2, 4, 4, 0, 1, 4, 0, 1, 2, 3, 4, 3, 1, 1, 1, 2, 2, 4, 3, 2, 3, 4, 2, 1, 2, 0, 3, 2, 4, 1, 3, 2, 4, 0, 4, 2, 2, 3, 3, 3, 2, 4, 0, 1, 2, 2, 2, 1, 4, 3, 1, 1, 4, 2, 1, 1, 1, 3, 1, 2, 2, 0, 1, 1, 4, 3, 2, 3, 3, 3, 1, 1, 0, 1, 4, 0, 1, 0, 2, 0, 4, 1, 1, 0, 3, 0, 0, 4, 2, 4, 4, 3, 0, 4, 4, 1, 0, 0, 4, 0, 4, 1, 3, 0, 2, 2, 0, 1, 0, 0, 4, 4, 1, 2, 1, 3, 3, 1, 0, 3, 2, 3, 0, 2, 0, 4, 2, 3, 3, 3, 2, 1, 4, 2, 3, 0, 3, 4, 2, 2, 2, 3, 2, 1, 4, 4, 1, 4, 2, 0, 0, 4, 1, 4, 3, 2, 3, 3, 0, 4, 4, 3, 4, 4, 0, 3, 4, 3, 1, 4, 1, 2, 4, 1, 3, 4, 3, 3, 1, 3, 2, 1, 3, 3, 2, 3, 1, 2, 0, 1, 4, 4, 1, 2, 2, 2, 0, 1, 4, 2, 1, 0, 3, 2, 3, 4, 1, 2, 4, 2, 2, 4, 4, 0, 3, 3, 4, 0, 3, 4, 1, 0, 3, 1, 1, 0, 0, 3, 2, 4, 2, 2, 4, 0, 0, 1, 2, 1, 4, 0, 1, 4, 0, 1, 0, 2, 1, 4, 0, 2, 0, 4, 1, 1, 4, 3, 3, 2, 3, 0, 3, 2, 0, 2, 1, 4, 2, 3, 1, 0, 2, 0]
pubkeycol986 = [2, 2, 0, 2, 4, 3, 4, 2, 0, 4, 4, 3, 2, 0, 2, 3, 4, 2, 1, 1, 3, 2, 4, 3, 0, 1, 0, 0, 1, 3, 4, 0, 2, 3, 0, 3, 1, 4, 3, 2, 0, 4, 4, 4, 2, 1, 2, 2, 0, 2, 4, 1, 0, 2, 3, 3, 4, 1, 3, 3, 1, 4, 1, 4, 3, 4, 3, 0, 2, 0, 3, 2, 4, 2, 4, 1, 0, 1, 1, 3, 4, 0, 2, 1, 4, 1, 2, 0, 2, 0, 3, 3, 0, 0, 4, 3, 2, 3, 1, 1, 2, 2, 3, 0, 3, 4, 0, 3, 2, 2, 3, 4, 2, 4, 1, 4, 2, 1, 4, 2, 3, 4, 1, 1, 3, 4, 0, 0, 0, 0, 3, 0, 1, 3, 3, 1, 0, 3, 4, 1, 2, 4, 1, 0, 4, 0, 4, 2, 2, 4, 2, 3, 1, 3, 2, 0, 3, 3, 2, 3, 0, 0, 3, 3, 3, 4, 4, 4, 3, 4, 2, 2, 2, 1, 1, 4, 3, 3, 3, 4, 1, 1, 3, 4, 1, 4, 0, 0, 4, 4, 4, 3, 3, 3, 2, 1, 3, 4, 4, 4, 0, 1, 0, 1, 3, 4, 0, 4, 2, 4, 0, 0, 0, 3, 3, 0, 3, 3, 1, 4, 1, 4, 0, 3, 4, 1, 4, 2, 2, 0, 2, 2, 3, 0, 2, 0, 2, 4, 1, 2, 0, 3, 4, 0, 2, 0, 1, 0, 4, 0, 1, 0, 1, 1, 1, 1, 4, 1, 4, 0, 0, 4, 3, 3, 1, 0, 2, 4, 4, 4, 1, 0, 2, 3, 4, 1, 3, 4, 0, 4, 4, 4, 0, 3, 2, 4, 2, 3, 3, 0, 2, 3, 4, 3, 1, 0, 4, 3, 1, 0, 4, 1, 2, 3, 0, 1, 0, 4, 1, 3, 0, 0, 1, 2, 0, 1, 2, 2, 4, 4, 3, 0, 3, 1, 4, 2, 3, 1, 1, 3, 4, 4, 0, 0, 4, 0, 3, 3, 4, 1, 0, 0, 2, 2, 2, 1, 4, 1, 0, 1, 2, 4, 0, 0, 2, 3, 4, 3, 4, 4, 3, 4, 4, 1, 1, 2, 1, 1, 0, 0, 0, 3, 3, 3, 4, 1, 4, 2, 2, 2, 1, 1, 0, 1, 4, 4, 3, 3, 0, 0, 0, 2, 3, 2, 0, 2, 4, 4, 2, 3]
pubkeycol987 = [3, 1, 4, 4, 1, 0, 4, 0, 0, 0, 3, 1, 3, 0, 0, 2, 4, 1, 0, 2, 0, 4, 1, 2, 3, 1, 3, 0, 2, 4, 2, 0, 0, 1, 0, 0, 4, 0, 3, 4, 0, 0, 4, 4, 3, 2, 4, 3, 4, 3, 3, 0, 2, 3, 1, 3, 0, 3, 3, 2, 1, 3, 2, 2, 2, 1, 3, 2, 0, 3, 4, 3, 2, 3, 4, 2, 1, 2, 0, 2, 2, 4, 2, 4, 4, 3, 1, 3, 2, 3, 1, 2, 4, 0, 3, 4, 3, 3, 4, 3, 2, 1, 3, 3, 1, 0, 1, 4, 3, 4, 0, 1, 4, 3, 0, 1, 3, 4, 3, 1, 0, 0, 0, 1, 3, 1, 0, 1, 4, 2, 1, 1, 4, 1, 0, 0, 3, 1, 3, 1, 2, 3, 2, 2, 1, 0, 3, 1, 0, 3, 2, 4, 2, 1, 3, 3, 2, 4, 3, 4, 0, 4, 1, 0, 4, 4, 3, 3, 4, 4, 0, 2, 2, 2, 2, 1, 2, 1, 4, 4, 1, 2, 3, 4, 2, 1, 4, 4, 1, 1, 1, 3, 0, 1, 3, 1, 1, 3, 3, 4, 4, 0, 3, 0, 1, 3, 1, 2, 0, 2, 1, 3, 4, 2, 3, 3, 4, 4, 4, 4, 1, 0, 2, 1, 1, 3, 4, 3, 4, 2, 1, 2, 2, 0, 2, 2, 3, 2, 2, 0, 2, 2, 4, 4, 1, 3, 0, 0, 0, 4, 0, 0, 2, 4, 2, 2, 3, 3, 4, 0, 2, 2, 2, 4, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 3, 0, 2, 3, 3, 1, 1, 2, 1, 0, 4, 1, 1, 0, 1, 3, 4, 2, 3, 1, 0, 0, 1, 4, 2, 4, 3, 0, 4, 1, 3, 3, 0, 0, 0, 4, 0, 1, 0, 3, 0, 0, 0, 4, 1, 0, 4, 3, 3, 3, 0, 3, 0, 1, 2, 3, 0, 0, 4, 3, 3, 4, 0, 0, 0, 4, 2, 1, 1, 2, 1, 4, 2, 0, 4, 0, 4, 0, 3, 2, 4, 1, 2, 2, 3, 1, 4, 1, 3, 3, 4, 0, 3, 0, 3, 1, 1, 4, 0, 3, 4, 4, 0, 1, 0, 4, 1, 2, 0, 0, 0, 2, 4, 4, 1, 3, 0, 2, 1, 0, 1, 1, 0, 1, 4, 0]
pubkeycol988 = [4, 3, 4, 0, 3, 0, 2, 0, 2, 0, 4, 2, 0, 1, 4, 1, 3, 3, 4, 4, 4, 0, 4, 3, 1, 3, 1, 1, 3, 2, 1, 4, 4, 3, 1, 2, 0, 2, 2, 3, 3, 1, 3, 3, 4, 2, 4, 1, 4, 4, 4, 2, 3, 1, 3, 0, 1, 0, 1, 0, 4, 0, 1, 2, 1, 3, 1, 3, 1, 1, 0, 4, 3, 0, 1, 4, 1, 3, 1, 4, 2, 2, 2, 1, 1, 1, 2, 2, 4, 2, 4, 1, 4, 4, 2, 0, 4, 0, 1, 1, 4, 2, 0, 2, 4, 2, 4, 4, 0, 1, 4, 2, 4, 3, 3, 0, 0, 4, 2, 4, 1, 1, 0, 4, 3, 4, 1, 0, 3, 3, 1, 3, 3, 0, 4, 3, 1, 2, 2, 3, 2, 2, 4, 0, 2, 3, 0, 2, 2, 4, 2, 4, 3, 4, 0, 2, 2, 0, 4, 3, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 3, 3, 0, 0, 2, 3, 0, 1, 1, 2, 4, 3, 2, 2, 2, 4, 1, 0, 1, 3, 1, 3, 3, 1, 1, 4, 1, 3, 2, 3, 1, 2, 4, 3, 3, 3, 1, 1, 2, 1, 4, 1, 3, 1, 1, 1, 1, 1, 4, 3, 0, 2, 1, 2, 0, 2, 0, 1, 4, 3, 4, 3, 2, 2, 2, 2, 1, 0, 2, 2, 4, 3, 3, 1, 2, 3, 4, 2, 2, 1, 4, 4, 2, 0, 4, 0, 1, 2, 0, 1, 1, 3, 0, 0, 3, 1, 0, 4, 2, 3, 4, 4, 3, 1, 2, 4, 1, 3, 2, 0, 1, 1, 4, 0, 2, 3, 0, 4, 1, 1, 4, 1, 4, 2, 0, 1, 4, 2, 3, 1, 1, 0, 1, 1, 4, 1, 2, 0, 4, 0, 3, 4, 1, 3, 1, 0, 4, 4, 0, 3, 4, 1, 0, 2, 3, 1, 1, 2, 4, 3, 4, 2, 4, 3, 4, 1, 4, 0, 0, 4, 4, 4, 0, 4, 4, 1, 4, 0, 3, 0, 4, 1, 0, 3, 2, 2, 1, 4, 3, 4, 3, 0, 3, 4, 3, 0, 4, 0, 4, 2, 0, 4, 2, 4, 2, 0, 2, 0, 3, 4, 3, 1, 0, 3, 0, 3, 0, 0, 2, 0, 4, 1, 1, 4, 0, 1, 0, 2, 3, 3]
pubkeycol989 = [1, 3, 4, 0, 3, 0, 0, 4, 0, 4, 2, 0, 3, 0, 3, 0, 4, 4, 4, 0, 3, 2, 1, 2, 2, 3, 4, 0, 4, 4, 0, 3, 4, 4, 2, 1, 0, 4, 2, 3, 1, 3, 2, 4, 0, 3, 3, 1, 3, 3, 2, 3, 1, 3, 4, 0, 2, 3, 1, 2, 1, 1, 1, 1, 3, 4, 2, 0, 4, 4, 2, 0, 1, 2, 3, 1, 2, 4, 3, 2, 4, 4, 2, 0, 4, 2, 1, 3, 3, 1, 2, 0, 0, 2, 0, 2, 0, 3, 4, 2, 4, 0, 3, 0, 0, 4, 0, 0, 3, 1, 1, 3, 1, 1, 2, 2, 1, 4, 2, 3, 1, 2, 4, 2, 1, 4, 4, 1, 1, 2, 3, 0, 1, 3, 4, 4, 1, 0, 2, 1, 2, 4, 0, 1, 4, 4, 3, 4, 3, 1, 0, 4, 0, 0, 2, 4, 2, 4, 3, 3, 4, 1, 3, 1, 1, 3, 1, 3, 3, 3, 2, 4, 4, 4, 2, 3, 2, 2, 0, 4, 2, 4, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 3, 3, 1, 3, 2, 2, 2, 0, 4, 0, 0, 3, 1, 4, 1, 4, 0, 2, 2, 4, 1, 2, 4, 2, 3, 4, 3, 2, 4, 0, 3, 4, 2, 1, 0, 3, 3, 4, 4, 4, 1, 3, 0, 3, 4, 4, 4, 3, 4, 4, 0, 3, 3, 0, 1, 4, 2, 3, 1, 3, 2, 0, 3, 1, 1, 0, 2, 3, 0, 3, 3, 0, 3, 2, 4, 0, 4, 1, 2, 3, 2, 4, 2, 1, 1, 3, 0, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 3, 3, 3, 1, 2, 3, 0, 4, 2, 1, 3, 3, 0, 0, 4, 1, 4, 4, 2, 4, 3, 0, 2, 4, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 3, 0, 0, 3, 3, 0, 1, 4, 1, 4, 1, 3, 4, 2, 3, 4, 2, 2, 4, 3, 2, 1, 4, 1, 1, 3, 0, 3, 1, 0, 0, 4, 0, 1, 2, 4, 3, 4, 3, 1, 2, 4, 3, 4, 3, 2, 4, 2, 1, 4, 0, 4, 0, 4, 0, 2, 3, 3, 1, 0, 1, 4, 1, 3, 3, 3, 4, 0]
pubkeycol990 = [0, 1, 3, 2, 3, 2, 4, 4, 4, 4, 0, 1, 2, 2, 2, 3, 1, 1, 3, 3, 2, 2, 3, 3, 1, 0, 1, 3, 4, 3, 2, 2, 4, 2, 4, 4, 0, 3, 0, 2, 0, 3, 4, 1, 2, 3, 4, 2, 0, 0, 2, 0, 4, 1, 2, 4, 4, 4, 2, 4, 4, 0, 2, 2, 0, 3, 3, 4, 4, 2, 3, 2, 1, 3, 1, 3, 1, 4, 3, 1, 4, 2, 0, 4, 1, 1, 3, 3, 0, 0, 0, 1, 2, 2, 3, 2, 4, 1, 4, 1, 2, 4, 0, 4, 2, 0, 0, 1, 1, 3, 0, 4, 0, 4, 3, 2, 3, 1, 4, 2, 2, 0, 0, 4, 3, 0, 1, 4, 2, 1, 3, 4, 0, 3, 3, 2, 4, 3, 4, 0, 4, 1, 2, 2, 0, 1, 3, 3, 0, 1, 2, 2, 4, 3, 2, 2, 0, 0, 0, 3, 3, 2, 1, 0, 3, 2, 3, 1, 4, 1, 0, 4, 0, 1, 0, 1, 0, 4, 4, 2, 1, 0, 4, 4, 4, 4, 3, 0, 4, 4, 3, 4, 4, 3, 0, 1, 2, 2, 3, 2, 0, 4, 3, 3, 1, 3, 3, 1, 0, 4, 2, 4, 3, 2, 1, 3, 4, 1, 2, 4, 1, 0, 1, 3, 1, 1, 4, 1, 3, 3, 4, 3, 3, 1, 1, 1, 1, 2, 0, 2, 2, 2, 3, 1, 1, 1, 4, 2, 3, 0, 1, 3, 3, 2, 2, 1, 4, 3, 4, 2, 3, 2, 1, 4, 0, 3, 0, 0, 1, 2, 1, 0, 0, 0, 4, 1, 0, 3, 3, 1, 4, 1, 1, 2, 3, 2, 0, 3, 2, 1, 0, 3, 0, 0, 4, 2, 1, 2, 1, 4, 3, 3, 4, 2, 0, 0, 0, 3, 2, 0, 2, 1, 1, 3, 3, 1, 0, 3, 4, 4, 3, 2, 0, 0, 1, 4, 4, 2, 4, 4, 0, 1, 0, 1, 0, 1, 1, 1, 2, 3, 0, 1, 3, 2, 4, 2, 4, 0, 4, 1, 3, 4, 4, 2, 0, 0, 0, 2, 4, 2, 2, 2, 0, 1, 4, 1, 1, 2, 3, 1, 3, 2, 4, 1, 2, 4, 1, 3, 3, 3, 3, 2, 3, 1, 1, 2, 1, 1, 0, 0, 1, 1, 3, 2, 4, 3, 0, 0, 4, 0]
pubkeycol991 = [2, 2, 0, 0, 4, 1, 0, 4, 4, 0, 2, 2, 3, 2, 1, 0, 0, 2, 1, 2, 3, 3, 4, 2, 1, 1, 1, 1, 2, 4, 2, 3, 2, 3, 3, 1, 2, 4, 1, 4, 3, 3, 3, 2, 3, 4, 4, 0, 0, 4, 3, 2, 1, 0, 1, 2, 0, 3, 1, 2, 4, 4, 4, 4, 3, 2, 4, 4, 4, 3, 1, 4, 0, 2, 3, 2, 0, 0, 4, 4, 0, 4, 2, 3, 2, 0, 2, 2, 3, 2, 0, 1, 2, 4, 1, 0, 3, 2, 3, 2, 0, 2, 1, 0, 3, 1, 2, 4, 4, 2, 1, 0, 2, 2, 4, 1, 2, 4, 3, 3, 3, 0, 3, 2, 3, 3, 3, 1, 1, 2, 3, 3, 3, 1, 0, 1, 4, 0, 4, 2, 1, 2, 2, 3, 1, 2, 3, 3, 2, 2, 3, 1, 0, 2, 2, 4, 0, 3, 3, 2, 3, 3, 2, 0, 2, 3, 2, 0, 3, 0, 3, 0, 3, 3, 4, 1, 3, 0, 1, 0, 2, 2, 1, 1, 0, 3, 2, 3, 1, 4, 1, 4, 0, 1, 3, 2, 4, 4, 4, 1, 1, 2, 0, 3, 2, 1, 4, 3, 1, 4, 0, 0, 2, 2, 4, 3, 1, 0, 1, 2, 1, 2, 4, 2, 3, 1, 3, 4, 2, 4, 2, 2, 3, 4, 1, 4, 0, 1, 3, 4, 4, 4, 4, 0, 0, 0, 4, 1, 1, 1, 0, 0, 2, 0, 4, 0, 0, 0, 0, 4, 2, 4, 4, 0, 1, 0, 3, 3, 4, 3, 3, 4, 4, 2, 0, 4, 4, 3, 0, 4, 4, 0, 3, 2, 2, 0, 2, 0, 0, 3, 3, 2, 3, 0, 0, 0, 4, 4, 4, 0, 1, 0, 4, 2, 4, 1, 1, 2, 3, 3, 3, 1, 2, 0, 2, 0, 3, 3, 2, 4, 1, 4, 2, 2, 3, 4, 2, 1, 2, 1, 1, 4, 3, 4, 1, 0, 3, 3, 3, 2, 3, 4, 4, 1, 1, 3, 4, 2, 0, 3, 4, 0, 2, 4, 2, 3, 4, 3, 1, 1, 2, 4, 2, 0, 1, 2, 0, 0, 1, 2, 4, 2, 4, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 3, 0, 0, 1, 0, 4, 3, 0, 1, 2, 1, 1, 2, 3, 2]
pubkeycol992 = [4, 2, 1, 4, 0, 1, 1, 1, 4, 3, 3, 2, 2, 0, 3, 3, 2, 0, 4, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 4, 3, 2, 2, 1, 1, 4, 2, 2, 0, 3, 4, 3, 1, 1, 3, 0, 0, 4, 0, 3, 1, 0, 0, 1, 4, 0, 2, 2, 1, 2, 3, 3, 1, 2, 1, 0, 2, 2, 2, 4, 3, 4, 0, 4, 0, 2, 0, 3, 4, 2, 2, 0, 2, 4, 4, 0, 2, 0, 1, 0, 0, 3, 1, 3, 1, 2, 2, 4, 3, 4, 4, 1, 3, 2, 3, 4, 4, 1, 0, 1, 3, 1, 4, 1, 4, 3, 3, 1, 0, 2, 4, 1, 0, 2, 3, 1, 0, 0, 3, 2, 1, 4, 3, 0, 3, 3, 1, 1, 3, 4, 3, 3, 1, 2, 2, 2, 2, 0, 4, 4, 4, 1, 4, 3, 0, 4, 0, 3, 2, 1, 1, 4, 3, 3, 2, 0, 2, 0, 0, 0, 0, 3, 4, 0, 2, 1, 3, 1, 0, 3, 3, 4, 1, 4, 0, 3, 0, 4, 4, 0, 2, 0, 3, 0, 0, 4, 0, 0, 2, 1, 4, 0, 2, 0, 4, 0, 1, 0, 2, 3, 1, 1, 2, 1, 1, 2, 2, 4, 0, 2, 3, 4, 4, 0, 2, 4, 1, 0, 4, 1, 3, 4, 0, 2, 3, 1, 4, 4, 4, 2, 1, 1, 0, 1, 1, 2, 0, 1, 3, 1, 1, 0, 1, 4, 0, 0, 1, 2, 2, 4, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 4, 3, 3, 4, 3, 2, 4, 0, 0, 1, 3, 3, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 3, 0, 3, 3, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 4, 3, 0, 2, 4, 1, 1, 4, 1, 0, 1, 1, 1, 3, 1, 1, 3, 1, 0, 0, 0, 3, 1, 4, 2, 1, 3, 4, 2, 2, 4, 1, 3, 0, 2, 4, 3, 3, 0, 2, 1, 1, 0, 3, 0, 0, 2, 0, 2, 2, 1, 4, 4, 4, 0, 3, 4, 0, 4, 4, 3, 2, 0, 4, 3, 2, 3, 0, 3, 3, 2, 4, 0, 3, 4, 0, 4, 0, 2, 2, 2, 4, 2, 4, 1, 2, 1, 2, 0, 3, 0]
pubkeycol993 = [0, 2, 4, 2, 4, 1, 4, 3, 1, 3, 2, 3, 2, 4, 1, 0, 0, 0, 1, 0, 0, 2, 1, 3, 4, 4, 3, 4, 2, 4, 4, 1, 3, 3, 0, 2, 4, 4, 0, 4, 3, 2, 3, 3, 2, 3, 0, 4, 1, 3, 1, 2, 0, 2, 3, 4, 3, 2, 1, 1, 1, 0, 1, 3, 3, 0, 1, 2, 4, 2, 3, 0, 2, 4, 4, 1, 3, 3, 4, 2, 0, 2, 1, 0, 4, 2, 3, 4, 3, 1, 2, 4, 3, 2, 0, 0, 1, 1, 4, 3, 3, 2, 4, 2, 1, 2, 3, 0, 0, 2, 4, 4, 0, 4, 3, 4, 3, 1, 3, 0, 2, 1, 3, 1, 4, 4, 0, 0, 4, 3, 0, 2, 4, 1, 0, 0, 0, 3, 0, 4, 2, 0, 0, 1, 4, 0, 0, 4, 1, 3, 2, 2, 1, 0, 0, 2, 0, 2, 4, 0, 2, 2, 3, 4, 1, 4, 3, 1, 4, 2, 3, 4, 3, 1, 4, 2, 3, 1, 1, 3, 3, 1, 0, 0, 3, 0, 2, 0, 0, 1, 0, 4, 1, 3, 1, 2, 1, 1, 4, 0, 0, 1, 3, 3, 4, 2, 3, 1, 1, 0, 3, 1, 3, 0, 3, 0, 4, 3, 4, 3, 3, 1, 0, 2, 2, 0, 1, 3, 0, 1, 3, 1, 0, 0, 0, 3, 4, 3, 1, 1, 3, 1, 0, 1, 3, 3, 3, 1, 2, 0, 1, 1, 2, 1, 1, 2, 3, 4, 0, 3, 3, 4, 4, 1, 2, 0, 3, 2, 0, 2, 1, 4, 4, 0, 0, 3, 4, 3, 0, 1, 2, 4, 0, 2, 3, 0, 1, 1, 3, 1, 1, 1, 1, 0, 1, 0, 4, 0, 4, 1, 3, 4, 1, 3, 1, 0, 0, 1, 2, 3, 4, 0, 2, 2, 2, 3, 2, 1, 3, 2, 4, 2, 2, 4, 3, 2, 3, 0, 4, 1, 1, 3, 3, 2, 2, 0, 4, 0, 4, 0, 3, 4, 2, 2, 1, 3, 4, 4, 4, 1, 4, 1, 3, 1, 4, 1, 2, 3, 0, 3, 3, 2, 4, 1, 1, 0, 2, 2, 0, 4, 1, 1, 3, 1, 3, 2, 1, 4, 1, 1, 2, 1, 3, 2, 4, 1, 1, 4, 2, 1, 2, 4, 1, 3, 1, 1, 0, 3, 3, 3]
pubkeycol994 = [2, 3, 1, 2, 3, 3, 0, 4, 4, 1, 4, 0, 2, 0, 4, 0, 2, 2, 2, 4, 0, 4, 4, 4, 2, 2, 0, 1, 0, 3, 0, 3, 4, 4, 2, 4, 4, 4, 1, 1, 3, 3, 1, 2, 3, 2, 3, 1, 3, 2, 0, 2, 3, 2, 0, 0, 1, 3, 2, 4, 1, 1, 3, 4, 1, 0, 2, 4, 3, 1, 2, 2, 4, 4, 4, 0, 3, 1, 2, 4, 3, 4, 0, 1, 1, 2, 2, 3, 1, 4, 3, 0, 4, 2, 0, 2, 3, 4, 0, 4, 4, 2, 2, 0, 0, 1, 0, 3, 3, 3, 1, 2, 1, 0, 2, 4, 3, 1, 4, 2, 0, 3, 3, 3, 0, 2, 0, 3, 1, 1, 3, 2, 0, 4, 0, 2, 0, 2, 1, 2, 4, 0, 1, 0, 4, 0, 0, 2, 4, 2, 4, 4, 4, 3, 2, 0, 0, 4, 2, 4, 2, 0, 4, 2, 2, 4, 2, 1, 3, 2, 1, 2, 4, 4, 4, 1, 1, 2, 0, 3, 4, 2, 4, 2, 3, 2, 3, 3, 1, 3, 1, 4, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 4, 0, 2, 1, 3, 4, 4, 0, 0, 3, 2, 3, 1, 0, 4, 0, 2, 0, 2, 1, 1, 0, 3, 0, 4, 0, 4, 2, 0, 4, 1, 1, 3, 2, 4, 0, 2, 2, 3, 0, 3, 0, 2, 0, 1, 3, 0, 1, 2, 2, 2, 4, 2, 1, 1, 3, 0, 1, 3, 3, 2, 0, 3, 1, 0, 4, 2, 0, 4, 0, 3, 4, 3, 1, 0, 1, 3, 1, 4, 3, 3, 0, 3, 0, 1, 1, 1, 1, 0, 0, 3, 0, 1, 4, 1, 0, 3, 1, 1, 2, 0, 0, 3, 4, 1, 2, 0, 3, 2, 1, 3, 0, 2, 1, 1, 1, 4, 4, 1, 2, 0, 2, 0, 4, 1, 1, 1, 4, 3, 1, 4, 3, 4, 3, 4, 4, 0, 1, 3, 2, 4, 0, 2, 3, 1, 2, 2, 1, 4, 2, 2, 1, 3, 0, 3, 0, 0, 3, 4, 2, 3, 2, 4, 0, 4, 0, 1, 1, 4, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 3, 0, 3, 0, 4, 3, 3, 1, 4, 0, 4, 2, 3, 3, 4, 4, 4, 2]
pubkeycol995 = [0, 4, 4, 0, 1, 3, 2, 1, 2, 3, 0, 1, 3, 4, 2, 4, 1, 2, 2, 2, 2, 2, 1, 0, 4, 2, 0, 3, 1, 2, 1, 0, 4, 1, 3, 1, 2, 0, 4, 2, 2, 3, 0, 0, 2, 0, 2, 1, 3, 1, 4, 2, 0, 4, 0, 0, 3, 1, 3, 1, 3, 3, 4, 1, 1, 1, 0, 2, 3, 2, 4, 4, 4, 4, 4, 4, 2, 1, 3, 2, 4, 4, 2, 2, 1, 0, 1, 2, 1, 3, 3, 4, 2, 4, 2, 3, 1, 2, 0, 0, 0, 2, 1, 3, 0, 2, 0, 3, 1, 3, 3, 3, 4, 1, 3, 3, 4, 3, 2, 2, 2, 4, 1, 2, 2, 0, 4, 3, 0, 0, 1, 3, 3, 0, 2, 3, 2, 4, 3, 2, 3, 1, 0, 0, 2, 0, 4, 4, 0, 1, 4, 3, 1, 3, 4, 2, 4, 2, 1, 3, 2, 0, 3, 0, 0, 2, 3, 0, 0, 0, 4, 2, 2, 4, 3, 0, 3, 1, 3, 2, 1, 0, 3, 0, 1, 4, 3, 2, 3, 1, 0, 0, 3, 0, 0, 4, 2, 3, 3, 3, 2, 3, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 3, 2, 4, 4, 4, 3, 1, 2, 1, 1, 1, 0, 3, 3, 1, 0, 3, 1, 2, 3, 4, 2, 0, 1, 0, 0, 2, 2, 0, 1, 4, 3, 0, 4, 4, 0, 0, 1, 3, 4, 1, 2, 1, 3, 0, 3, 0, 1, 3, 4, 3, 1, 2, 3, 3, 2, 3, 0, 4, 1, 0, 4, 0, 2, 2, 3, 2, 0, 4, 2, 4, 0, 0, 2, 2, 0, 1, 1, 4, 1, 2, 0, 3, 4, 1, 3, 0, 1, 2, 2, 4, 1, 0, 4, 2, 0, 1, 3, 0, 0, 1, 2, 0, 1, 2, 3, 3, 0, 0, 0, 1, 4, 0, 2, 1, 2, 0, 4, 0, 3, 1, 1, 0, 1, 3, 1, 3, 4, 3, 3, 4, 3, 4, 1, 2, 2, 2, 1, 0, 1, 1, 4, 3, 1, 2, 3, 2, 0, 2, 0, 0, 4, 4, 0, 4, 1, 2, 2, 1, 3, 1, 4, 2, 0, 1, 4, 4, 3, 0, 1, 2, 4, 4, 4, 2, 0, 1, 1, 1, 3, 0, 3, 1, 0, 0, 3, 4, 3]
pubkeycol996 = [1, 3, 4, 2, 3, 4, 2, 0, 0, 4, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4, 1, 3, 0, 2, 1, 1, 1, 4, 0, 3, 0, 1, 4, 0, 0, 0, 4, 3, 2, 2, 0, 2, 2, 2, 0, 3, 1, 2, 3, 0, 0, 1, 3, 3, 4, 4, 3, 1, 3, 0, 4, 3, 4, 2, 0, 3, 0, 3, 0, 0, 1, 2, 0, 0, 2, 3, 2, 2, 2, 2, 3, 0, 2, 3, 4, 3, 4, 0, 0, 2, 0, 2, 2, 4, 4, 2, 1, 3, 4, 0, 3, 0, 3, 4, 0, 2, 3, 2, 3, 0, 4, 0, 4, 3, 3, 1, 2, 1, 0, 3, 2, 2, 1, 2, 2, 4, 4, 1, 1, 2, 2, 4, 3, 2, 3, 4, 4, 1, 1, 3, 3, 2, 4, 2, 0, 3, 0, 3, 1, 4, 4, 4, 3, 3, 4, 1, 4, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 4, 0, 4, 1, 1, 1, 3, 0, 2, 4, 2, 0, 1, 3, 2, 1, 0, 1, 4, 0, 2, 0, 1, 0, 0, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 0, 2, 3, 3, 1, 3, 2, 2, 3, 3, 0, 2, 0, 2, 2, 3, 3, 2, 0, 1, 0, 0, 2, 1, 0, 4, 3, 3, 4, 4, 0, 0, 0, 3, 2, 3, 3, 1, 1, 3, 1, 1, 2, 4, 3, 0, 3, 1, 2, 1, 2, 1, 3, 3, 2, 3, 3, 1, 0, 4, 1, 1, 4, 4, 2, 1, 4, 0, 1, 2, 1, 1, 4, 1, 0, 0, 0, 4, 3, 3, 2, 4, 1, 0, 0, 2, 3, 0, 1, 3, 2, 3, 3, 0, 0, 2, 4, 3, 1, 2, 4, 2, 0, 0, 2, 1, 3, 1, 3, 3, 0, 2, 2, 1, 1, 0, 4, 1, 3, 0, 1, 0, 2, 4, 3, 3, 2, 3, 4, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 2, 4, 2, 0, 3, 0, 0, 1, 2, 0, 4, 0, 1, 0, 2, 1, 4, 1, 1, 4, 2, 3, 4, 0, 3, 4, 4, 0, 1, 0, 3, 1, 2, 4, 0, 2, 3, 1, 0, 3, 1, 4, 3, 2, 2, 2, 0, 2, 0, 1, 4, 1, 3]
pubkeycol997 = [0, 1, 4, 2, 0, 2, 4, 1, 1, 4, 0, 1, 1, 2, 2, 2, 1, 0, 3, 3, 4, 1, 0, 3, 0, 3, 2, 1, 4, 2, 3, 4, 0, 3, 2, 0, 4, 4, 1, 2, 1, 3, 0, 2, 3, 1, 2, 1, 4, 4, 1, 3, 3, 0, 4, 1, 2, 0, 4, 1, 1, 2, 0, 0, 1, 4, 3, 1, 1, 4, 1, 4, 3, 4, 1, 0, 1, 3, 0, 4, 3, 2, 1, 0, 4, 1, 3, 1, 4, 3, 0, 1, 2, 4, 4, 2, 2, 4, 0, 3, 0, 3, 4, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 3, 4, 3, 4, 2, 2, 4, 3, 1, 3, 2, 3, 0, 4, 2, 3, 0, 3, 2, 1, 4, 4, 0, 1, 3, 0, 3, 1, 4, 1, 4, 3, 4, 3, 3, 3, 0, 1, 2, 2, 3, 4, 1, 2, 3, 1, 0, 2, 1, 4, 1, 2, 4, 4, 3, 3, 1, 2, 2, 2, 4, 1, 4, 3, 4, 0, 4, 2, 0, 4, 0, 1, 3, 2, 3, 0, 3, 0, 2, 3, 1, 2, 4, 2, 4, 3, 3, 0, 1, 0, 4, 1, 0, 2, 2, 2, 1, 3, 3, 1, 4, 4, 4, 2, 3, 0, 4, 3, 4, 2, 4, 2, 2, 0, 2, 1, 0, 4, 1, 3, 0, 1, 0, 4, 4, 4, 4, 3, 4, 0, 3, 3, 2, 0, 1, 4, 2, 0, 0, 4, 3, 0, 0, 4, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 2, 0, 3, 1, 3, 2, 3, 4, 4, 2, 2, 0, 0, 4, 4, 2, 4, 4, 4, 4, 3, 1, 3, 3, 0, 4, 3, 4, 0, 2, 0, 0, 4, 3, 0, 0, 4, 4, 2, 1, 4, 3, 3, 2, 4, 0, 0, 0, 4, 2, 4, 2, 1, 2, 1, 1, 0, 2, 3, 2, 1, 4, 1, 4, 4, 4, 3, 1, 4, 4, 3, 3, 4, 2, 4, 1, 4, 2, 1, 4, 1, 0, 2, 0, 1, 3, 2, 0, 2, 3, 2, 1, 1, 3, 1, 4, 0, 3, 3, 0, 2, 0, 1, 3, 1, 2, 3, 2, 3, 3, 2, 3, 0, 4, 3, 4, 2, 0, 3, 0, 4, 2, 4, 3, 2, 0, 0, 1, 1, 3, 3]
pubkeycol998 = [2, 2, 1, 4, 0, 1, 1, 3, 4, 2, 0, 1, 3, 0, 0, 0, 0, 0, 2, 1, 4, 2, 1, 4, 0, 3, 4, 1, 3, 3, 1, 1, 3, 0, 4, 4, 0, 3, 3, 1, 4, 1, 2, 0, 0, 3, 1, 2, 4, 4, 1, 1, 4, 0, 4, 2, 1, 2, 2, 4, 1, 0, 3, 1, 3, 1, 4, 3, 4, 3, 2, 4, 3, 3, 2, 0, 0, 0, 4, 2, 1, 1, 2, 3, 0, 2, 0, 2, 0, 4, 4, 2, 3, 2, 4, 1, 1, 1, 3, 0, 4, 3, 4, 2, 1, 2, 3, 1, 2, 4, 4, 2, 3, 2, 2, 0, 1, 2, 1, 4, 1, 4, 0, 1, 3, 2, 4, 0, 2, 1, 1, 1, 0, 2, 0, 0, 4, 2, 1, 2, 3, 3, 0, 1, 1, 0, 2, 3, 3, 4, 4, 4, 3, 0, 4, 4, 0, 3, 2, 1, 2, 0, 1, 2, 2, 1, 0, 3, 4, 2, 3, 0, 1, 2, 2, 4, 0, 1, 0, 4, 1, 1, 4, 4, 3, 2, 3, 4, 2, 2, 1, 0, 1, 4, 0, 3, 4, 2, 3, 2, 0, 3, 4, 2, 2, 2, 3, 0, 3, 3, 4, 3, 3, 4, 1, 1, 1, 3, 2, 0, 4, 1, 4, 2, 1, 0, 1, 4, 0, 3, 1, 3, 4, 3, 1, 2, 0, 0, 3, 3, 3, 0, 4, 4, 1, 4, 1, 0, 2, 4, 4, 3, 1, 0, 0, 1, 0, 0, 1, 2, 4, 1, 4, 4, 0, 3, 1, 1, 0, 0, 2, 3, 4, 4, 1, 2, 3, 4, 1, 3, 4, 2, 0, 0, 4, 3, 2, 0, 3, 2, 0, 4, 1, 2, 4, 1, 1, 1, 2, 0, 4, 3, 0, 4, 3, 2, 2, 0, 1, 1, 1, 0, 3, 1, 4, 4, 1, 0, 1, 2, 3, 0, 1, 2, 3, 4, 0, 1, 2, 3, 3, 2, 3, 1, 0, 3, 2, 4, 1, 3, 1, 2, 2, 2, 3, 4, 2, 2, 1, 3, 3, 3, 2, 0, 0, 4, 0, 1, 1, 0, 1, 2, 3, 4, 4, 3, 3, 3, 2, 0, 4, 2, 3, 3, 1, 1, 2, 3, 0, 4, 2, 4, 3, 3, 3, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 3, 0, 4, 2, 3]
pubkeycol999 = [1, 3, 4, 1, 4, 3, 3, 0, 4, 0, 3, 2, 4, 0, 3, 2, 1, 4, 3, 3, 3, 3, 2, 3, 1, 2, 4, 2, 4, 3, 4, 3, 4, 4, 4, 1, 4, 4, 4, 4, 2, 1, 1, 4, 2, 3, 2, 3, 4, 1, 0, 3, 4, 0, 2, 0, 2, 2, 3, 3, 1, 4, 1, 3, 4, 2, 4, 0, 3, 1, 3, 2, 0, 1, 1, 3, 3, 4, 1, 3, 2, 1, 2, 1, 4, 3, 2, 1, 0, 0, 3, 4, 1, 4, 1, 1, 4, 3, 3, 2, 3, 1, 3, 2, 2, 4, 1, 3, 3, 4, 1, 4, 1, 1, 2, 1, 3, 2, 4, 4, 4, 0, 4, 3, 4, 2, 2, 1, 0, 3, 4, 1, 4, 2, 3, 0, 4, 1, 2, 3, 3, 2, 1, 1, 4, 4, 3, 1, 0, 4, 4, 0, 2, 4, 3, 4, 0, 1, 2, 1, 2, 3, 4, 0, 2, 0, 0, 0, 4, 1, 3, 1, 0, 0, 4, 4, 3, 3, 1, 3, 0, 1, 1, 3, 2, 1, 0, 4, 2, 4, 1, 4, 4, 1, 2, 1, 4, 1, 1, 1, 2, 2, 4, 1, 0, 3, 2, 2, 2, 2, 3, 4, 0, 1, 1, 2, 1, 1, 4, 0, 0, 1, 2, 2, 0, 4, 2, 4, 0, 2, 1, 0, 2, 2, 2, 4, 2, 3, 1, 2, 2, 4, 2, 1, 2, 3, 1, 1, 0, 0, 2, 0, 3, 0, 3, 4, 0, 4, 3, 1, 3, 0, 0, 0, 3, 0, 1, 2, 2, 1, 4, 1, 3, 1, 1, 4, 2, 4, 1, 1, 1, 3, 2, 3, 1, 2, 0, 1, 4, 3, 3, 4, 2, 3, 2, 3, 4, 3, 4, 2, 4, 2, 4, 0, 2, 0, 2, 3, 0, 3, 3, 0, 3, 2, 3, 1, 0, 3, 2, 3, 0, 3, 3, 2, 4, 0, 4, 1, 1, 3, 1, 1, 4, 2, 4, 1, 2, 4, 0, 0, 3, 0, 3, 3, 3, 4, 2, 0, 4, 2, 2, 2, 0, 2, 0, 2, 3, 3, 2, 2, 2, 4, 4, 0, 4, 4, 3, 4, 0, 1, 0, 4, 3, 4, 0, 0, 2, 4, 4, 2, 1, 2, 0, 0, 0, 1, 0, 4, 4, 3, 4, 3, 3, 2, 1, 1, 1, 1, 2, 3]
pubkeycol1000 = [4, 1, 3, 3, 1, 4, 0, 3, 2, 1, 2, 1, 1, 4, 2, 4, 2, 2, 4, 0, 3, 2, 2, 0, 3, 4, 3, 4, 0, 2, 3, 2, 4, 0, 1, 2, 3, 2, 3, 1, 4, 4, 3, 0, 1, 2, 3, 3, 1, 4, 3, 4, 2, 0, 0, 2, 3, 4, 0, 4, 1, 2, 4, 4, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 3, 4, 0, 3, 0, 3, 1, 1, 0, 3, 3, 0, 3, 3, 4, 4, 0, 3, 2, 0, 2, 0, 4, 1, 0, 4, 2, 0, 0, 3, 2, 4, 0, 0, 3, 2, 0, 2, 0, 4, 2, 2, 1, 2, 4, 3, 2, 1, 3, 0, 2, 0, 2, 0, 4, 0, 0, 4, 4, 0, 3, 0, 3, 4, 3, 2, 0, 2, 4, 1, 4, 1, 2, 1, 0, 0, 3, 0, 0, 4, 1, 2, 3, 1, 3, 0, 1, 0, 3, 0, 2, 4, 3, 0, 0, 2, 2, 2, 1, 2, 3, 1, 0, 0, 4, 2, 1, 4, 0, 4, 4, 1, 1, 2, 0, 2, 2, 1, 4, 3, 4, 3, 2, 2, 3, 3, 2, 1, 4, 3, 4, 0, 1, 1, 4, 4, 2, 3, 3, 2, 3, 1, 1, 4, 0, 3, 4, 3, 0, 0, 0, 4, 1, 2, 0, 0, 2, 4, 3, 2, 3, 3, 0, 4, 2, 1, 2, 3, 4, 1, 4, 0, 2, 0, 1, 1, 3, 0, 1, 3, 0, 3, 0, 4, 2, 1, 1, 4, 3, 1, 1, 1, 3, 0, 3, 1, 1, 1, 2, 3, 1, 3, 1, 2, 3, 3, 3, 0, 0, 0, 3, 0, 4, 2, 4, 1, 3, 1, 2, 2, 2, 2, 1, 1, 4, 3, 3, 0, 3, 1, 1, 1, 4, 2, 4, 2, 4, 0, 3, 0, 1, 0, 0, 4, 4, 2, 1, 2, 3, 4, 4, 4, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 4, 1, 2, 0, 4, 2, 0, 3, 4, 4, 0, 3, 4, 3, 2, 1, 3, 2, 1, 1, 4, 1, 3, 1, 2, 2, 3, 0, 4, 1, 4, 4, 1, 2, 3, 4, 2, 1, 2, 1, 1, 1, 1, 3, 2, 1, 3, 3, 4, 1, 0, 2, 0, 4, 4, 1]
pubkeycol1001 = [2, 4, 3, 0, 1, 0, 0, 2, 4, 4, 0, 4, 4, 0, 0, 2, 4, 2, 2, 4, 1, 0, 2, 0, 4, 3, 2, 0, 3, 0, 2, 4, 3, 3, 1, 1, 4, 4, 0, 2, 1, 2, 1, 0, 1, 2, 4, 3, 0, 3, 2, 0, 4, 1, 0, 4, 3, 4, 4, 0, 0, 4, 3, 3, 4, 4, 0, 0, 1, 1, 2, 3, 2, 0, 2, 4, 0, 0, 1, 0, 0, 3, 1, 0, 4, 2, 2, 4, 3, 1, 1, 4, 2, 2, 0, 2, 3, 0, 0, 4, 2, 2, 0, 3, 1, 4, 2, 1, 2, 2, 4, 2, 2, 4, 0, 2, 2, 3, 4, 4, 2, 0, 2, 0, 0, 3, 1, 1, 3, 4, 3, 0, 1, 2, 4, 0, 3, 2, 4, 4, 4, 0, 0, 0, 3, 2, 2, 2, 4, 1, 2, 0, 4, 2, 3, 0, 2, 4, 1, 4, 3, 1, 4, 0, 2, 1, 1, 3, 0, 2, 0, 3, 0, 3, 3, 3, 4, 4, 2, 3, 0, 1, 2, 0, 3, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 4, 1, 2, 4, 2, 4, 1, 4, 3, 2, 2, 0, 3, 4, 2, 2, 4, 4, 3, 4, 2, 3, 4, 2, 2, 4, 4, 2, 1, 3, 0, 0, 3, 1, 2, 0, 0, 2, 3, 1, 4, 4, 4, 3, 4, 3, 0, 0, 2, 1, 2, 4, 1, 4, 4, 1, 4, 2, 1, 1, 0, 2, 2, 0, 3, 1, 1, 0, 1, 4, 4, 4, 0, 1, 2, 3, 4, 2, 4, 3, 2, 1, 4, 4, 3, 1, 1, 0, 2, 2, 2, 4, 2, 2, 4, 1, 0, 2, 4, 3, 4, 1, 2, 4, 1, 1, 2, 0, 1, 4, 2, 3, 0, 2, 0, 3, 2, 2, 1, 3, 3, 1, 2, 4, 2, 3, 3, 3, 2, 0, 0, 2, 2, 4, 1, 3, 2, 2, 2, 4, 3, 0, 2, 3, 1, 0, 2, 2, 3, 3, 4, 4, 2, 3, 0, 1, 4, 4, 0, 0, 3, 0, 4, 0, 2, 1, 4, 2, 3, 3, 1, 3, 3, 3, 0, 2, 1, 2, 3, 3, 3, 0, 1, 2, 0, 4, 2, 3, 3, 1, 0, 3, 1, 0, 0, 0, 2, 4, 2, 0, 4, 2, 1, 4, 3]
pubkeycol1002 = [3, 4, 3, 4, 4, 1, 1, 3, 4, 3, 4, 2, 1, 4, 2, 3, 2, 0, 1, 3, 3, 2, 4, 1, 4, 0, 3, 3, 3, 2, 4, 4, 4, 1, 3, 3, 0, 1, 2, 4, 1, 0, 0, 2, 4, 3, 0, 4, 1, 3, 2, 2, 1, 0, 1, 2, 4, 4, 1, 0, 1, 0, 4, 1, 0, 2, 4, 2, 4, 3, 1, 4, 0, 2, 1, 2, 4, 4, 1, 3, 3, 3, 3, 1, 4, 0, 4, 0, 0, 0, 4, 4, 2, 0, 2, 4, 4, 0, 2, 4, 2, 0, 4, 0, 3, 4, 2, 1, 1, 4, 1, 4, 3, 1, 0, 1, 2, 3, 0, 4, 0, 2, 4, 2, 0, 4, 3, 2, 4, 4, 2, 4, 4, 2, 3, 1, 3, 0, 1, 1, 4, 3, 3, 0, 4, 3, 0, 4, 4, 0, 2, 0, 0, 4, 2, 2, 2, 0, 1, 3, 1, 2, 3, 4, 2, 2, 3, 2, 1, 0, 0, 3, 0, 1, 3, 0, 4, 2, 4, 0, 1, 2, 3, 2, 2, 2, 1, 3, 4, 2, 2, 2, 1, 0, 3, 0, 0, 2, 3, 1, 2, 1, 1, 0, 0, 2, 0, 3, 2, 2, 2, 1, 0, 4, 4, 3, 4, 0, 0, 4, 0, 4, 1, 1, 4, 4, 3, 2, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 0, 3, 1, 0, 2, 3, 4, 3, 2, 0, 3, 3, 0, 4, 2, 4, 4, 3, 0, 1, 0, 4, 1, 3, 3, 1, 3, 4, 2, 4, 2, 3, 1, 0, 4, 4, 1, 3, 0, 1, 0, 3, 2, 2, 4, 1, 4, 3, 0, 4, 3, 3, 0, 0, 3, 0, 0, 0, 3, 4, 1, 0, 4, 1, 4, 4, 3, 0, 2, 0, 1, 0, 3, 4, 3, 3, 2, 1, 4, 0, 0, 0, 1, 4, 1, 1, 2, 4, 1, 4, 0, 2, 3, 3, 0, 4, 4, 3, 0, 0, 0, 4, 1, 1, 1, 0, 2, 4, 2, 1, 4, 1, 4, 3, 2, 4, 4, 1, 2, 1, 4, 2, 2, 0, 2, 0, 1, 0, 2, 4, 2, 1, 1, 3, 0, 1, 4, 4, 1, 1, 4, 4, 1, 1, 4, 1, 0, 2, 4, 4, 4, 0, 2, 2, 4, 2, 0, 3, 0, 4, 3, 2]
pubkeycol1003 = [1, 0, 2, 1, 1, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 4, 1, 2, 0, 0, 4, 0, 3, 0, 3, 1, 3, 4, 0, 0, 1, 0, 0, 0, 1, 0, 3, 1, 0, 0, 0, 4, 3, 4, 4, 3, 2, 4, 0, 2, 2, 1, 2, 2, 0, 0, 4, 1, 4, 0, 0, 3, 3, 1, 4, 0, 0, 4, 2, 1, 1, 0, 1, 3, 4, 1, 4, 4, 0, 2, 0, 2, 1, 2, 0, 0, 4, 0, 4, 4, 1, 0, 4, 0, 3, 1, 1, 4, 2, 3, 0, 3, 0, 4, 2, 1, 4, 3, 0, 1, 4, 3, 0, 3, 3, 4, 1, 4, 3, 4, 3, 2, 0, 2, 0, 4, 2, 2, 3, 2, 2, 2, 3, 0, 0, 1, 4, 4, 2, 3, 3, 4, 2, 0, 1, 1, 3, 3, 1, 0, 1, 4, 3, 1, 2, 2, 1, 1, 1, 4, 1, 3, 1, 3, 3, 2, 2, 1, 1, 0, 4, 4, 1, 3, 2, 3, 3, 0, 0, 4, 1, 2, 2, 0, 3, 4, 3, 4, 3, 4, 1, 0, 0, 3, 1, 2, 2, 4, 4, 1, 0, 1, 4, 3, 1, 1, 0, 1, 2, 4, 3, 4, 4, 2, 1, 3, 2, 4, 0, 4, 4, 0, 2, 0, 2, 2, 3, 3, 0, 3, 3, 1, 1, 3, 0, 0, 1, 2, 1, 3, 4, 2, 2, 0, 2, 0, 2, 4, 2, 0, 0, 1, 1, 0, 2, 2, 3, 1, 0, 2, 4, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 4, 1, 3, 1, 3, 0, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 1, 2, 0, 3, 2, 3, 4, 3, 4, 1, 4, 2, 2, 4, 2, 1, 4, 4, 3, 4, 3, 0, 3, 0, 3, 1, 1, 4, 2, 3, 3, 0, 0, 1, 4, 1, 2, 1, 2, 4, 0, 3, 2, 3, 0, 1, 0, 1, 2, 0, 1, 4, 3, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 3, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 3, 1, 0, 0, 2, 2, 2, 3, 2, 3, 1, 2, 3, 1, 1, 2, 0, 0, 0, 4, 0, 3, 1, 4, 2, 0, 0, 0, 1, 3, 1, 4, 2, 1, 1, 0, 0, 0]
pubkeycol1004 = [0, 3, 2, 0, 4, 3, 4, 1, 2, 3, 4, 3, 2, 4, 4, 0, 0, 2, 0, 2, 1, 2, 0, 0, 4, 3, 1, 4, 0, 3, 2, 3, 1, 4, 2, 0, 2, 1, 3, 0, 1, 0, 1, 4, 2, 0, 2, 2, 3, 3, 0, 1, 0, 2, 3, 0, 3, 1, 4, 3, 2, 1, 4, 0, 2, 3, 3, 0, 1, 1, 1, 2, 4, 3, 4, 4, 2, 3, 0, 2, 0, 4, 3, 0, 1, 0, 3, 0, 0, 2, 4, 2, 0, 1, 1, 3, 1, 0, 2, 3, 3, 0, 2, 3, 1, 0, 3, 2, 0, 2, 2, 3, 3, 0, 4, 0, 1, 0, 3, 3, 2, 2, 4, 0, 4, 2, 3, 4, 0, 3, 3, 1, 2, 2, 0, 3, 3, 1, 3, 4, 0, 1, 2, 1, 0, 0, 2, 2, 3, 0, 3, 2, 0, 4, 2, 2, 1, 2, 3, 2, 2, 4, 0, 0, 2, 3, 0, 1, 0, 3, 0, 4, 0, 4, 0, 3, 4, 4, 2, 1, 3, 2, 2, 0, 4, 3, 4, 2, 4, 0, 4, 0, 4, 0, 4, 1, 2, 4, 3, 1, 0, 4, 2, 1, 4, 1, 1, 0, 2, 1, 0, 0, 2, 3, 2, 1, 1, 4, 4, 1, 0, 3, 3, 1, 2, 1, 4, 4, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 3, 1, 2, 2, 3, 0, 4, 0, 0, 4, 2, 1, 3, 1, 4, 3, 2, 1, 3, 1, 1, 1, 2, 1, 0, 2, 0, 1, 4, 0, 1, 1, 1, 1, 3, 0, 4, 1, 3, 0, 2, 1, 4, 3, 1, 3, 1, 2, 4, 0, 4, 4, 1, 4, 3, 2, 0, 3, 2, 0, 0, 4, 0, 3, 2, 2, 2, 0, 4, 1, 4, 3, 4, 4, 2, 1, 1, 3, 4, 3, 4, 1, 3, 1, 1, 1, 1, 4, 0, 3, 3, 4, 4, 2, 3, 2, 4, 3, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 3, 4, 4, 2, 0, 0, 3, 3, 4, 1, 1, 0, 1, 3, 0, 2, 4, 0, 1, 2, 0, 3, 2, 2, 3, 1, 4, 0, 0, 2, 2, 4, 2, 2, 0, 3, 3, 3, 0, 2, 4, 2, 4, 0, 1, 3, 0, 2, 1, 0, 4, 1, 1, 4]
pubkeycol1005 = [3, 4, 1, 4, 0, 4, 2, 3, 0, 3, 4, 3, 3, 2, 1, 4, 4, 1, 4, 1, 4, 0, 0, 4, 4, 1, 1, 3, 3, 2, 4, 2, 0, 3, 4, 2, 1, 0, 1, 3, 2, 2, 2, 3, 2, 0, 0, 1, 3, 3, 0, 0, 1, 3, 4, 2, 1, 1, 4, 1, 0, 1, 0, 3, 3, 3, 1, 0, 4, 0, 4, 1, 1, 1, 0, 3, 1, 1, 2, 1, 2, 2, 1, 0, 0, 3, 2, 4, 0, 3, 0, 3, 3, 4, 4, 1, 3, 2, 3, 1, 0, 1, 1, 3, 2, 0, 0, 0, 3, 3, 2, 1, 4, 1, 1, 1, 2, 2, 2, 0, 4, 3, 2, 3, 3, 3, 1, 2, 1, 4, 0, 0, 4, 1, 1, 3, 1, 2, 1, 3, 4, 3, 4, 2, 4, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 4, 2, 2, 1, 3, 3, 1, 3, 0, 1, 0, 0, 2, 3, 3, 2, 2, 4, 3, 3, 0, 3, 1, 4, 4, 3, 1, 1, 0, 0, 2, 2, 0, 1, 4, 2, 1, 3, 0, 4, 0, 1, 0, 1, 2, 3, 3, 2, 4, 3, 2, 0, 0, 0, 4, 1, 4, 2, 1, 1, 1, 4, 4, 0, 3, 0, 4, 4, 1, 1, 1, 3, 4, 4, 1, 0, 2, 1, 1, 4, 1, 3, 2, 3, 2, 3, 0, 0, 0, 2, 4, 0, 0, 0, 0, 3, 0, 3, 2, 1, 2, 2, 2, 4, 0, 1, 2, 3, 1, 2, 1, 2, 4, 0, 2, 4, 0, 3, 0, 0, 0, 1, 3, 4, 2, 1, 2, 0, 2, 3, 4, 3, 3, 0, 0, 2, 4, 3, 1, 2, 2, 0, 3, 1, 1, 2, 1, 0, 4, 4, 0, 2, 4, 0, 0, 0, 4, 1, 2, 1, 1, 3, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 3, 0, 0, 2, 3, 2, 0, 3, 2, 0, 4, 2, 3, 1, 3, 1, 3, 4, 2, 0, 0, 4, 1, 2, 3, 2, 3, 2, 4, 0, 1, 2, 3, 1, 0, 1, 1, 1, 4, 1, 1, 1, 4, 4, 2, 0, 3, 0, 0, 0, 2, 1, 4, 1, 4, 3, 0, 2, 4, 2, 2, 4, 1, 0, 2, 1, 4, 1, 1, 0, 0, 3, 0]
pubkeycol1006 = [1, 1, 2, 4, 0, 1, 0, 4, 3, 1, 1, 0, 3, 4, 0, 1, 0, 0, 0, 0, 3, 3, 4, 4, 1, 4, 4, 0, 0, 4, 4, 2, 3, 0, 3, 4, 1, 4, 0, 2, 0, 0, 4, 3, 3, 4, 4, 0, 2, 2, 2, 0, 4, 3, 2, 3, 4, 0, 1, 0, 2, 0, 4, 3, 0, 3, 0, 0, 2, 1, 3, 2, 3, 0, 1, 2, 0, 1, 4, 1, 0, 4, 2, 3, 2, 3, 3, 4, 3, 4, 2, 3, 0, 2, 4, 2, 1, 3, 2, 4, 0, 0, 0, 3, 2, 2, 4, 4, 2, 4, 1, 1, 4, 1, 0, 2, 3, 0, 1, 4, 4, 2, 2, 1, 3, 1, 1, 2, 4, 0, 2, 1, 3, 4, 4, 2, 1, 2, 2, 1, 0, 3, 4, 4, 2, 2, 4, 0, 0, 3, 1, 2, 4, 2, 1, 4, 1, 2, 2, 2, 2, 0, 2, 0, 2, 4, 4, 0, 2, 2, 4, 3, 0, 2, 0, 4, 0, 1, 2, 1, 1, 4, 3, 4, 1, 2, 2, 2, 1, 0, 2, 0, 3, 4, 1, 4, 4, 2, 2, 4, 3, 3, 4, 0, 0, 1, 0, 4, 0, 3, 3, 2, 4, 1, 2, 4, 2, 2, 1, 3, 3, 4, 2, 0, 0, 3, 1, 0, 2, 2, 4, 4, 0, 3, 3, 1, 1, 4, 2, 3, 1, 0, 4, 1, 3, 2, 4, 4, 0, 3, 0, 0, 2, 4, 4, 1, 3, 1, 3, 2, 0, 2, 2, 3, 2, 2, 4, 0, 4, 0, 4, 4, 2, 0, 0, 0, 4, 1, 3, 1, 0, 4, 3, 2, 3, 2, 4, 3, 0, 0, 4, 1, 2, 4, 1, 0, 1, 3, 2, 2, 1, 4, 2, 0, 0, 3, 1, 4, 0, 3, 0, 1, 2, 3, 0, 3, 3, 0, 1, 0, 4, 2, 1, 3, 4, 1, 0, 4, 2, 1, 3, 2, 0, 3, 2, 1, 0, 3, 4, 0, 0, 1, 3, 2, 2, 0, 1, 2, 0, 3, 1, 4, 3, 0, 0, 2, 2, 1, 0, 3, 1, 4, 1, 2, 0, 3, 4, 0, 4, 4, 4, 2, 3, 1, 2, 1, 2, 3, 3, 0, 3, 3, 4, 1, 0, 3, 2, 4, 0, 3, 4, 1, 1, 4, 1, 4, 3, 4, 2, 0]
pubkeycol1007 = [4, 4, 0, 2, 3, 4, 3, 3, 1, 4, 1, 4, 4, 1, 4, 0, 0, 1, 4, 1, 3, 4, 3, 4, 3, 0, 3, 3, 3, 1, 0, 4, 0, 3, 0, 3, 2, 4, 3, 2, 4, 1, 3, 4, 3, 4, 4, 4, 0, 4, 0, 1, 4, 3, 3, 0, 1, 0, 2, 2, 3, 1, 3, 1, 1, 4, 2, 0, 4, 4, 1, 1, 3, 2, 1, 3, 2, 1, 0, 0, 4, 1, 4, 2, 2, 1, 4, 2, 2, 4, 4, 1, 4, 2, 3, 4, 0, 1, 4, 1, 0, 3, 3, 3, 3, 0, 2, 1, 1, 3, 0, 4, 0, 4, 1, 4, 1, 3, 2, 1, 3, 1, 1, 2, 0, 3, 0, 0, 2, 1, 0, 4, 3, 3, 2, 0, 1, 2, 2, 0, 3, 0, 2, 4, 0, 4, 4, 3, 0, 0, 3, 3, 1, 3, 2, 4, 2, 3, 4, 3, 3, 0, 0, 1, 3, 4, 1, 2, 2, 4, 0, 3, 0, 1, 3, 0, 2, 2, 4, 3, 1, 2, 3, 3, 3, 3, 1, 0, 4, 2, 2, 4, 2, 3, 4, 3, 1, 0, 3, 2, 3, 3, 1, 4, 2, 2, 3, 0, 0, 4, 0, 2, 1, 3, 0, 2, 2, 4, 0, 1, 2, 4, 2, 3, 2, 4, 0, 4, 0, 2, 0, 3, 3, 0, 4, 0, 3, 1, 0, 3, 2, 2, 4, 3, 0, 4, 1, 0, 1, 4, 3, 0, 1, 2, 2, 4, 3, 4, 1, 2, 1, 2, 4, 3, 0, 3, 0, 3, 4, 4, 0, 4, 0, 4, 0, 1, 0, 4, 2, 3, 1, 0, 4, 0, 2, 2, 2, 4, 2, 1, 0, 1, 0, 2, 2, 0, 4, 1, 2, 2, 2, 3, 0, 1, 4, 0, 3, 4, 3, 3, 4, 3, 4, 3, 2, 2, 3, 4, 1, 1, 2, 0, 0, 1, 3, 4, 2, 4, 3, 1, 3, 4, 1, 0, 3, 0, 4, 3, 4, 3, 4, 1, 0, 0, 3, 3, 4, 1, 4, 1, 0, 0, 2, 4, 2, 1, 1, 4, 3, 0, 4, 0, 2, 3, 3, 1, 0, 1, 1, 0, 4, 0, 3, 0, 0, 0, 1, 4, 3, 1, 4, 1, 3, 4, 3, 4, 2, 4, 0, 0, 3, 1, 1, 4, 0, 0, 4, 1, 4, 3]
pubkeycol1008 = [1, 4, 0, 0, 1, 1, 4, 1, 4, 0, 3, 1, 2, 3, 0, 4, 0, 0, 3, 2, 2, 1, 0, 4, 1, 4, 0, 2, 1, 3, 1, 4, 0, 4, 0, 0, 4, 4, 4, 3, 2, 0, 1, 4, 3, 0, 1, 0, 3, 0, 0, 3, 0, 4, 1, 0, 0, 4, 3, 0, 2, 1, 1, 3, 2, 2, 4, 3, 3, 4, 2, 3, 3, 3, 1, 0, 0, 1, 2, 3, 2, 1, 2, 3, 3, 4, 1, 0, 0, 2, 3, 1, 0, 3, 4, 0, 4, 4, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 4, 4, 4, 3, 0, 2, 4, 3, 0, 3, 3, 0, 4, 2, 1, 4, 2, 1, 2, 2, 1, 3, 0, 2, 0, 0, 1, 2, 3, 4, 3, 4, 3, 2, 2, 4, 4, 3, 0, 1, 1, 2, 0, 1, 4, 4, 4, 0, 4, 0, 1, 0, 4, 1, 0, 1, 3, 0, 2, 2, 3, 3, 2, 0, 1, 2, 1, 1, 2, 3, 3, 0, 0, 3, 2, 4, 4, 4, 2, 3, 2, 1, 2, 0, 0, 4, 1, 1, 1, 4, 1, 3, 0, 0, 4, 1, 0, 0, 1, 0, 3, 0, 1, 3, 1, 3, 0, 4, 3, 4, 3, 1, 2, 2, 1, 0, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 1, 3, 4, 3, 0, 3, 3, 3, 4, 2, 3, 1, 1, 1, 4, 2, 2, 0, 2, 3, 2, 0, 4, 2, 3, 4, 0, 1, 0, 0, 0, 4, 3, 0, 2, 2, 0, 4, 4, 0, 1, 1, 4, 4, 1, 1, 1, 3, 3, 3, 3, 1, 3, 2, 0, 2, 0, 4, 1, 1, 3, 3, 1, 4, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 4, 1, 3, 1, 0, 2, 1, 0, 1, 3, 3, 0, 1, 4, 3, 4, 0, 0, 3, 4, 2, 1, 1, 3, 2, 1, 1, 2, 4, 0, 1, 1, 1, 0, 3, 1, 4, 4, 4, 3, 3, 3, 4, 0, 4, 2, 2, 3, 1, 0, 0, 1, 2, 4, 4, 0, 4, 3, 2, 3, 0, 3, 4, 1, 3, 4, 1, 1, 1, 3, 4, 0, 0, 4, 3, 2, 1, 2, 3, 0, 3, 0, 2, 1, 2, 2, 3, 4]
pubkeycol1009 = [1, 0, 1, 4, 4, 0, 0, 4, 2, 3, 2, 3, 2, 2, 2, 0, 3, 2, 2, 0, 2, 3, 2, 0, 1, 0, 2, 2, 3, 1, 4, 0, 3, 1, 2, 4, 2, 4, 0, 0, 1, 1, 4, 0, 0, 2, 4, 0, 4, 1, 3, 0, 0, 3, 1, 4, 4, 2, 3, 3, 0, 3, 3, 3, 3, 3, 1, 2, 3, 2, 0, 4, 0, 0, 1, 4, 1, 0, 0, 0, 4, 2, 2, 3, 3, 0, 4, 0, 1, 3, 4, 3, 2, 3, 0, 4, 4, 1, 2, 4, 3, 0, 4, 2, 0, 3, 4, 2, 0, 4, 0, 4, 4, 1, 3, 3, 0, 0, 2, 3, 2, 0, 3, 3, 4, 3, 0, 3, 1, 3, 4, 2, 1, 2, 1, 1, 0, 1, 0, 3, 4, 4, 2, 2, 2, 1, 2, 0, 4, 4, 4, 3, 1, 3, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 3, 4, 4, 2, 1, 4, 1, 1, 4, 3, 3, 1, 2, 4, 0, 4, 0, 1, 0, 0, 3, 3, 1, 4, 3, 3, 3, 2, 4, 1, 2, 3, 2, 0, 2, 1, 4, 2, 0, 0, 4, 1, 4, 0, 4, 4, 1, 2, 2, 1, 3, 4, 2, 4, 0, 3, 2, 0, 0, 0, 1, 3, 3, 0, 3, 1, 0, 4, 4, 3, 0, 2, 2, 4, 4, 3, 4, 2, 2, 0, 1, 0, 3, 2, 4, 4, 4, 0, 1, 3, 1, 3, 0, 0, 0, 2, 1, 0, 0, 0, 0, 3, 3, 0, 1, 1, 3, 0, 2, 3, 1, 4, 0, 4, 3, 3, 2, 2, 3, 1, 1, 4, 2, 4, 2, 3, 4, 2, 4, 3, 4, 1, 3, 3, 1, 1, 3, 1, 4, 1, 1, 4, 0, 0, 4, 2, 0, 2, 1, 0, 3, 2, 1, 3, 3, 3, 1, 4, 4, 0, 3, 1, 3, 1, 3, 1, 4, 1, 2, 2, 1, 4, 3, 4, 3, 1, 2, 4, 1, 1, 4, 3, 0, 1, 0, 1, 1, 0, 2, 0, 4, 3, 1, 3, 4, 3, 3, 0, 0, 1, 2, 1, 0, 2, 4, 1, 0, 0, 0, 3, 4, 1, 3, 4, 2, 2, 3, 2, 1, 2, 2, 1, 0, 4, 1, 0, 0, 2, 3, 3, 3, 4, 4, 2]
pubkeycol1010 = [0, 2, 0, 2, 2, 3, 2, 1, 1, 1, 3, 4, 0, 1, 4, 4, 1, 2, 0, 2, 1, 3, 3, 3, 4, 3, 3, 4, 2, 2, 4, 2, 0, 3, 4, 2, 0, 4, 4, 3, 4, 2, 2, 4, 0, 4, 3, 2, 2, 2, 1, 1, 1, 4, 0, 2, 3, 1, 4, 0, 3, 3, 3, 1, 2, 1, 1, 3, 0, 0, 3, 3, 4, 2, 3, 2, 3, 2, 4, 2, 4, 4, 0, 3, 2, 3, 1, 4, 1, 3, 4, 3, 1, 3, 2, 0, 1, 4, 1, 0, 0, 4, 4, 4, 3, 1, 1, 4, 2, 1, 2, 1, 0, 4, 3, 1, 0, 0, 0, 3, 3, 2, 0, 1, 2, 4, 4, 3, 2, 1, 4, 1, 3, 0, 2, 1, 4, 3, 4, 4, 1, 0, 4, 4, 4, 1, 1, 1, 4, 1, 2, 1, 4, 2, 2, 3, 2, 0, 4, 1, 0, 2, 0, 3, 2, 3, 4, 2, 1, 4, 4, 4, 3, 0, 2, 2, 1, 1, 3, 2, 0, 3, 0, 2, 0, 0, 1, 1, 0, 3, 1, 3, 3, 1, 3, 4, 3, 4, 2, 0, 3, 3, 1, 4, 3, 1, 2, 4, 3, 0, 4, 2, 4, 1, 0, 2, 3, 3, 3, 3, 4, 1, 4, 3, 4, 4, 1, 3, 4, 2, 3, 2, 1, 0, 3, 1, 3, 0, 0, 3, 3, 3, 4, 1, 4, 3, 0, 3, 2, 4, 0, 3, 2, 0, 4, 4, 0, 2, 1, 1, 4, 3, 3, 1, 0, 4, 3, 4, 3, 2, 0, 3, 3, 0, 4, 4, 0, 2, 3, 2, 4, 2, 0, 2, 3, 3, 0, 1, 3, 4, 3, 3, 0, 1, 1, 2, 3, 1, 0, 2, 2, 0, 1, 3, 4, 2, 1, 4, 0, 4, 2, 4, 0, 3, 2, 2, 0, 0, 4, 3, 3, 0, 3, 0, 0, 2, 1, 3, 3, 0, 0, 3, 0, 2, 3, 2, 1, 2, 3, 0, 2, 1, 1, 3, 2, 2, 2, 4, 3, 3, 1, 2, 2, 3, 1, 4, 3, 2, 3, 3, 2, 3, 4, 2, 1, 1, 3, 3, 4, 1, 2, 0, 0, 2, 0, 3, 3, 2, 3, 4, 1, 4, 0, 3, 4, 3, 1, 4, 3, 1, 4, 0, 0, 0, 1, 4, 0, 4, 4, 2]
pubkeycol1011 = [2, 1, 4, 4, 4, 0, 3, 1, 1, 2, 2, 1, 0, 2, 4, 1, 2, 0, 0, 2, 3, 0, 3, 3, 2, 3, 0, 3, 2, 4, 2, 4, 4, 4, 1, 4, 1, 0, 4, 4, 4, 0, 1, 0, 3, 4, 0, 0, 3, 2, 2, 1, 0, 3, 3, 4, 4, 1, 4, 3, 1, 0, 1, 3, 0, 3, 3, 3, 1, 3, 3, 4, 4, 3, 1, 2, 0, 3, 2, 2, 1, 0, 4, 3, 0, 2, 0, 4, 2, 1, 2, 2, 4, 0, 3, 1, 1, 3, 0, 0, 4, 3, 3, 2, 2, 2, 0, 4, 1, 2, 3, 1, 3, 3, 4, 0, 1, 3, 1, 2, 0, 2, 2, 3, 4, 2, 0, 2, 3, 3, 0, 4, 0, 0, 3, 1, 1, 2, 4, 4, 0, 1, 1, 0, 4, 3, 4, 0, 3, 0, 1, 4, 2, 4, 4, 3, 0, 4, 0, 1, 4, 0, 4, 0, 2, 3, 0, 0, 3, 3, 3, 1, 3, 0, 2, 1, 0, 3, 2, 3, 0, 2, 3, 4, 1, 3, 4, 3, 4, 4, 3, 4, 3, 1, 1, 2, 3, 4, 2, 1, 4, 2, 1, 1, 0, 1, 0, 4, 3, 2, 2, 3, 4, 3, 3, 0, 4, 4, 3, 4, 2, 4, 0, 4, 1, 2, 3, 0, 4, 0, 2, 2, 3, 0, 3, 4, 3, 4, 0, 1, 3, 0, 3, 4, 2, 1, 0, 4, 0, 0, 0, 3, 1, 3, 2, 2, 4, 1, 3, 3, 1, 0, 0, 4, 2, 3, 2, 4, 4, 1, 3, 1, 1, 2, 0, 3, 0, 1, 4, 2, 1, 0, 2, 0, 0, 2, 3, 1, 0, 2, 4, 1, 2, 1, 3, 4, 3, 0, 3, 1, 3, 3, 3, 4, 3, 4, 0, 3, 2, 3, 3, 3, 0, 4, 4, 4, 1, 1, 3, 3, 0, 2, 1, 3, 0, 4, 3, 1, 1, 2, 3, 3, 1, 2, 2, 3, 1, 0, 1, 1, 2, 4, 4, 2, 3, 3, 3, 2, 3, 3, 1, 3, 1, 2, 4, 3, 3, 0, 3, 1, 3, 2, 0, 2, 3, 1, 2, 1, 3, 2, 4, 0, 0, 2, 4, 3, 3, 3, 4, 4, 0, 0, 2, 3, 0, 3, 3, 4, 2, 4, 4, 4, 4, 2, 2, 1, 3, 0, 3, 0]
pubkeycol1012 = [2, 0, 4, 1, 3, 1, 3, 3, 1, 0, 2, 1, 2, 2, 0, 2, 4, 4, 4, 2, 2, 4, 0, 1, 4, 1, 4, 2, 2, 1, 0, 3, 0, 4, 4, 0, 2, 1, 3, 1, 1, 3, 1, 0, 2, 1, 3, 0, 4, 4, 0, 2, 0, 4, 1, 1, 1, 0, 3, 3, 4, 3, 3, 1, 2, 2, 4, 4, 0, 3, 1, 0, 3, 0, 3, 2, 1, 2, 1, 3, 4, 4, 2, 1, 3, 4, 2, 4, 2, 4, 4, 3, 1, 1, 3, 2, 0, 2, 2, 0, 0, 1, 2, 4, 0, 0, 0, 2, 1, 4, 0, 2, 3, 3, 3, 3, 0, 4, 2, 4, 0, 2, 1, 3, 4, 0, 1, 1, 4, 1, 4, 4, 1, 1, 2, 0, 3, 3, 1, 2, 1, 2, 4, 1, 2, 3, 0, 1, 2, 2, 3, 4, 4, 4, 0, 0, 4, 0, 1, 4, 1, 3, 2, 0, 1, 3, 2, 3, 4, 0, 3, 3, 4, 2, 4, 0, 3, 0, 1, 1, 3, 4, 1, 2, 3, 4, 2, 4, 1, 1, 4, 0, 3, 1, 2, 4, 4, 1, 4, 4, 3, 0, 3, 2, 3, 3, 2, 4, 4, 3, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 4, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 3, 0, 2, 3, 2, 1, 0, 4, 4, 3, 4, 2, 1, 3, 3, 1, 1, 3, 2, 3, 2, 1, 4, 0, 4, 2, 0, 4, 3, 0, 3, 1, 2, 2, 3, 2, 0, 0, 1, 4, 2, 1, 0, 3, 2, 2, 0, 4, 4, 4, 3, 0, 3, 2, 3, 4, 4, 1, 0, 2, 3, 0, 1, 4, 3, 2, 3, 2, 1, 0, 1, 2, 3, 0, 2, 2, 2, 0, 3, 4, 3, 4, 1, 2, 2, 0, 4, 2, 2, 4, 3, 0, 4, 0, 2, 2, 0, 0, 4, 0, 2, 2, 1, 1, 3, 1, 3, 2, 2, 0, 4, 4, 0, 0, 4, 1, 2, 2, 4, 3, 0, 0, 2, 4, 2, 2, 3, 0, 1, 2, 1, 1, 4, 3, 0, 2, 1, 1, 4, 2, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 3, 0, 3, 4, 0, 4, 0, 1, 0, 1, 3, 4, 1, 3, 3, 3]
pubkeycol1013 = [0, 0, 3, 0, 0, 0, 0, 0, 3, 1, 3, 1, 0, 0, 0, 3, 1, 1, 3, 4, 2, 1, 2, 3, 1, 3, 2, 2, 4, 1, 0, 2, 0, 4, 4, 2, 3, 1, 1, 0, 4, 3, 1, 0, 0, 1, 4, 2, 3, 4, 0, 1, 3, 3, 0, 3, 4, 0, 1, 3, 4, 0, 2, 1, 0, 0, 4, 4, 2, 4, 2, 2, 0, 3, 1, 2, 4, 4, 3, 2, 3, 1, 3, 2, 0, 4, 3, 3, 0, 2, 2, 2, 2, 4, 4, 1, 1, 3, 1, 3, 3, 4, 0, 0, 1, 4, 4, 3, 2, 3, 0, 0, 4, 3, 0, 1, 1, 0, 0, 1, 1, 0, 3, 2, 2, 4, 4, 1, 1, 0, 3, 4, 0, 0, 3, 2, 2, 3, 2, 4, 2, 4, 3, 3, 0, 2, 3, 2, 4, 3, 4, 2, 2, 3, 4, 4, 2, 1, 3, 1, 1, 4, 3, 0, 0, 2, 0, 3, 0, 0, 1, 4, 0, 3, 0, 0, 4, 4, 3, 2, 0, 1, 2, 2, 1, 3, 4, 0, 3, 2, 2, 0, 0, 3, 4, 0, 1, 3, 1, 2, 2, 2, 1, 0, 4, 4, 0, 0, 0, 3, 4, 0, 1, 1, 0, 1, 0, 0, 0, 3, 0, 3, 1, 1, 1, 2, 2, 0, 4, 2, 0, 3, 4, 0, 3, 4, 3, 3, 1, 1, 1, 1, 4, 4, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 3, 3, 4, 0, 1, 3, 3, 2, 2, 2, 3, 4, 3, 0, 2, 0, 0, 1, 2, 3, 0, 1, 0, 0, 3, 2, 3, 1, 4, 3, 0, 1, 0, 3, 0, 1, 3, 3, 2, 2, 2, 4, 1, 4, 0, 4, 4, 0, 4, 1, 3, 2, 2, 2, 0, 1, 3, 3, 3, 4, 1, 3, 4, 2, 2, 3, 4, 1, 4, 0, 0, 2, 1, 3, 4, 1, 0, 2, 4, 0, 4, 0, 2, 1, 3, 2, 2, 4, 2, 0, 3, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 3, 0, 1, 4, 3, 0, 2, 4, 2, 3, 4, 2, 2, 3, 4, 1, 4, 2, 1, 2, 2, 4, 4, 1, 3, 2, 3, 4, 3, 0, 0, 3, 1, 3, 0, 2, 3, 1, 0, 1, 2, 3, 1, 0, 0]
pubkeycol1014 = [2, 1, 2, 3, 1, 1, 0, 3, 1, 3, 3, 1, 1, 0, 4, 0, 4, 2, 3, 3, 0, 3, 4, 1, 2, 1, 2, 1, 2, 2, 0, 4, 2, 4, 0, 4, 4, 1, 3, 2, 0, 0, 1, 1, 0, 1, 2, 0, 4, 3, 0, 0, 3, 2, 3, 3, 3, 3, 4, 2, 0, 3, 4, 4, 1, 1, 2, 0, 0, 2, 3, 2, 0, 0, 0, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 3, 2, 2, 4, 0, 3, 0, 3, 1, 0, 4, 1, 2, 3, 1, 3, 0, 1, 0, 4, 4, 4, 1, 2, 1, 0, 3, 1, 4, 2, 3, 3, 1, 2, 2, 4, 0, 0, 2, 4, 0, 1, 0, 1, 1, 2, 4, 2, 4, 1, 2, 2, 4, 0, 4, 0, 2, 2, 2, 4, 4, 4, 4, 3, 1, 0, 1, 2, 1, 1, 4, 2, 1, 2, 3, 3, 4, 1, 4, 2, 2, 2, 0, 2, 3, 2, 2, 3, 4, 4, 4, 3, 3, 1, 1, 4, 1, 3, 2, 2, 0, 1, 4, 1, 4, 1, 1, 1, 4, 0, 0, 4, 2, 4, 0, 0, 0, 2, 0, 1, 0, 4, 3, 0, 2, 4, 3, 4, 4, 0, 2, 0, 0, 2, 3, 3, 1, 0, 2, 4, 2, 0, 3, 2, 3, 4, 1, 1, 0, 3, 4, 1, 0, 3, 3, 2, 1, 2, 3, 3, 3, 4, 4, 3, 2, 0, 0, 1, 3, 1, 4, 4, 3, 1, 3, 3, 3, 3, 3, 0, 2, 1, 2, 0, 2, 0, 4, 3, 3, 4, 3, 4, 4, 4, 2, 0, 0, 0, 0, 1, 3, 0, 3, 0, 4, 0, 0, 3, 3, 2, 4, 3, 0, 3, 0, 4, 2, 3, 4, 4, 0, 3, 3, 0, 1, 4, 1, 1, 0, 4, 2, 4, 1, 3, 2, 4, 0, 0, 0, 2, 0, 0, 3, 3, 4, 2, 2, 0, 4, 4, 4, 2, 0, 3, 0, 1, 4, 3, 0, 3, 1, 3, 4, 3, 4, 3, 0, 3, 4, 0, 4, 4, 1, 2, 3, 4, 0, 0, 2, 2, 0, 1, 1, 2, 4, 2, 2, 0, 3, 2, 3, 0, 1, 2, 2, 3, 4, 0, 1, 0, 2, 3, 2, 2, 1, 3, 0, 4, 1, 4, 2, 1, 4, 3, 1]
pubkeycol1015 = [0, 2, 4, 2, 1, 3, 0, 0, 2, 3, 2, 3, 1, 4, 0, 1, 3, 4, 2, 2, 0, 3, 4, 1, 2, 3, 3, 0, 3, 1, 3, 0, 1, 3, 3, 2, 4, 1, 0, 1, 1, 3, 4, 3, 3, 1, 2, 1, 3, 3, 3, 2, 3, 4, 2, 4, 1, 1, 0, 0, 2, 4, 2, 0, 1, 2, 2, 0, 1, 3, 1, 3, 4, 3, 2, 0, 3, 3, 2, 4, 1, 2, 3, 2, 2, 3, 1, 1, 0, 4, 0, 1, 2, 2, 3, 3, 4, 3, 1, 0, 0, 3, 0, 1, 2, 3, 4, 4, 0, 0, 1, 4, 2, 3, 4, 4, 0, 3, 2, 3, 0, 4, 0, 3, 3, 1, 1, 3, 2, 2, 0, 0, 1, 0, 2, 0, 3, 4, 4, 0, 3, 2, 4, 0, 1, 2, 3, 0, 3, 4, 1, 0, 1, 3, 1, 3, 3, 3, 3, 4, 4, 1, 2, 3, 3, 3, 4, 2, 4, 2, 2, 4, 2, 4, 1, 4, 3, 0, 2, 4, 3, 1, 1, 3, 0, 3, 0, 4, 4, 3, 0, 2, 0, 4, 2, 2, 4, 1, 1, 3, 4, 4, 4, 3, 0, 4, 4, 1, 0, 2, 0, 3, 0, 3, 0, 4, 4, 2, 0, 1, 0, 0, 3, 1, 0, 2, 3, 0, 4, 0, 0, 3, 0, 1, 4, 3, 1, 4, 1, 4, 0, 1, 1, 1, 4, 0, 3, 2, 3, 4, 0, 2, 2, 3, 3, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 0, 1, 4, 3, 4, 0, 2, 2, 3, 3, 0, 1, 4, 4, 4, 3, 0, 3, 2, 2, 2, 2, 2, 3, 1, 1, 0, 3, 0, 4, 0, 4, 4, 4, 3, 4, 3, 4, 3, 2, 2, 2, 0, 0, 1, 0, 4, 0, 4, 4, 4, 0, 3, 1, 1, 4, 0, 2, 0, 0, 4, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 3, 3, 3, 0, 3, 3, 2, 0, 0, 1, 0, 0, 0, 2, 1, 4, 1, 0, 0, 4, 3, 1, 2, 4, 1, 3, 2, 2, 0, 3, 0, 0, 2, 2, 2, 0, 4, 4, 3, 1, 3, 4, 2, 2, 4, 0, 1, 4, 2, 3, 1, 3, 3, 4, 2, 3, 3, 4, 3, 3]
pubkeycol1016 = [4, 4, 0, 2, 1, 4, 0, 2, 2, 4, 1, 3, 0, 3, 3, 1, 1, 1, 3, 1, 3, 3, 4, 4, 3, 4, 4, 1, 0, 2, 4, 1, 2, 0, 1, 2, 0, 0, 4, 4, 2, 4, 0, 1, 3, 4, 2, 1, 2, 3, 4, 2, 1, 0, 3, 4, 0, 1, 0, 2, 3, 0, 3, 2, 2, 4, 4, 3, 4, 1, 3, 4, 4, 1, 2, 1, 0, 1, 3, 3, 1, 3, 3, 3, 0, 1, 4, 2, 4, 2, 3, 3, 1, 4, 0, 4, 4, 2, 1, 2, 1, 4, 3, 2, 0, 3, 3, 3, 0, 1, 4, 2, 4, 0, 0, 2, 4, 2, 4, 1, 4, 3, 0, 1, 4, 4, 4, 0, 2, 3, 0, 3, 4, 4, 3, 1, 0, 1, 2, 2, 1, 3, 1, 2, 1, 0, 4, 1, 3, 4, 3, 1, 4, 1, 2, 0, 0, 3, 3, 1, 1, 1, 3, 1, 1, 4, 4, 4, 2, 2, 0, 0, 2, 3, 0, 1, 0, 4, 3, 1, 2, 4, 2, 0, 4, 3, 1, 2, 0, 1, 4, 1, 0, 3, 2, 0, 1, 1, 3, 3, 0, 0, 1, 2, 3, 4, 0, 1, 0, 3, 1, 3, 1, 4, 0, 0, 0, 1, 3, 3, 0, 1, 0, 1, 0, 4, 2, 1, 1, 1, 4, 3, 3, 0, 2, 4, 3, 1, 3, 4, 0, 4, 1, 2, 3, 2, 0, 2, 1, 1, 2, 4, 3, 3, 3, 3, 1, 1, 1, 1, 4, 0, 3, 4, 3, 1, 1, 0, 1, 1, 3, 1, 2, 2, 4, 2, 3, 3, 1, 0, 4, 4, 1, 3, 3, 2, 0, 3, 1, 2, 1, 3, 0, 0, 2, 2, 2, 1, 3, 2, 1, 0, 0, 4, 3, 2, 4, 1, 0, 2, 2, 1, 0, 1, 0, 0, 4, 2, 2, 3, 1, 2, 2, 1, 4, 1, 1, 2, 3, 3, 4, 3, 1, 0, 1, 3, 3, 3, 3, 1, 2, 4, 1, 2, 2, 4, 0, 4, 0, 3, 2, 2, 0, 4, 3, 2, 4, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 2, 4, 2, 3, 3, 4, 3, 3, 4, 2, 4, 3, 0, 1, 3, 1, 2, 3, 2, 0, 4, 3, 0, 4, 1, 0, 0, 1, 1, 2, 4, 4, 1]
pubkeycol1017 = [3, 2, 2, 1, 0, 3, 4, 4, 4, 4, 1, 1, 1, 0, 3, 0, 2, 4, 4, 2, 3, 0, 3, 0, 3, 4, 1, 0, 3, 1, 1, 2, 3, 0, 0, 1, 1, 4, 0, 2, 3, 2, 4, 4, 4, 4, 0, 4, 4, 2, 0, 0, 3, 1, 2, 4, 1, 2, 4, 0, 0, 4, 0, 4, 4, 4, 3, 4, 1, 0, 1, 0, 4, 2, 0, 0, 3, 0, 0, 2, 1, 1, 3, 1, 0, 2, 4, 0, 2, 0, 2, 2, 0, 4, 1, 4, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 4, 2, 2, 2, 1, 2, 3, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 4, 1, 4, 2, 4, 2, 0, 1, 3, 1, 0, 2, 0, 0, 2, 1, 0, 3, 1, 4, 4, 1, 4, 4, 3, 3, 2, 1, 4, 0, 3, 0, 3, 1, 3, 4, 1, 1, 1, 1, 3, 3, 3, 4, 0, 0, 0, 0, 1, 4, 4, 3, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 3, 0, 3, 2, 1, 1, 0, 0, 2, 3, 4, 1, 2, 3, 1, 2, 2, 4, 3, 2, 1, 0, 4, 2, 4, 2, 2, 1, 2, 4, 2, 4, 3, 2, 1, 3, 2, 3, 2, 1, 4, 4, 3, 2, 0, 3, 2, 3, 2, 3, 2, 2, 0, 2, 0, 2, 1, 2, 0, 3, 2, 1, 2, 3, 4, 1, 0, 0, 4, 4, 4, 2, 4, 4, 0, 0, 4, 2, 1, 0, 4, 4, 2, 1, 3, 3, 0, 4, 0, 0, 2, 3, 0, 2, 0, 4, 1, 0, 4, 2, 0, 2, 2, 0, 2, 0, 0, 3, 1, 1, 3, 4, 4, 4, 1, 2, 2, 4, 0, 2, 2, 3, 4, 0, 4, 1, 4, 3, 2, 2, 0, 3, 3, 1, 1, 0, 1, 4, 4, 1, 2, 1, 3, 1, 3, 4, 2, 2, 1, 3, 4, 4, 1, 4, 4, 0, 2, 3, 0, 3, 0, 0, 4, 3, 2, 4, 1, 0, 3, 1, 0, 1, 2, 0, 4, 2, 2, 4, 3, 4, 0, 3, 3, 3, 2, 0, 1, 4, 4, 4, 3, 1, 1, 3, 4, 1, 1, 3, 2, 0, 4, 1, 2, 3, 1, 2, 0, 3, 3, 2, 0, 3, 1, 2]
pubkeycol1018 = [3, 4, 0, 1, 3, 3, 3, 2, 0, 3, 3, 2, 4, 0, 4, 0, 1, 4, 1, 3, 3, 3, 2, 2, 1, 2, 0, 3, 1, 3, 0, 1, 1, 2, 1, 1, 1, 2, 3, 0, 1, 2, 1, 4, 2, 1, 4, 3, 4, 2, 4, 1, 2, 3, 1, 0, 2, 1, 4, 3, 1, 3, 1, 1, 3, 4, 3, 3, 1, 1, 1, 3, 0, 4, 1, 4, 2, 3, 1, 2, 3, 4, 3, 1, 4, 2, 3, 2, 1, 3, 4, 3, 1, 1, 3, 2, 4, 4, 4, 4, 4, 3, 0, 0, 3, 4, 3, 3, 3, 2, 2, 1, 1, 4, 2, 1, 1, 0, 0, 0, 1, 3, 0, 0, 1, 3, 0, 4, 3, 3, 2, 3, 1, 4, 1, 2, 0, 2, 2, 2, 3, 1, 1, 4, 2, 2, 4, 4, 0, 3, 0, 4, 4, 4, 1, 1, 3, 4, 2, 0, 4, 2, 1, 0, 3, 3, 0, 3, 2, 3, 1, 4, 0, 0, 1, 2, 1, 0, 3, 3, 2, 0, 0, 2, 1, 0, 4, 0, 3, 2, 3, 2, 1, 1, 4, 1, 0, 4, 0, 3, 3, 0, 4, 3, 4, 4, 3, 0, 4, 0, 3, 1, 0, 1, 1, 3, 2, 3, 3, 4, 2, 0, 2, 0, 3, 3, 3, 1, 0, 2, 3, 4, 2, 3, 2, 0, 1, 1, 1, 4, 3, 1, 1, 4, 2, 0, 2, 0, 1, 3, 3, 0, 3, 0, 4, 4, 2, 3, 1, 4, 3, 4, 1, 3, 2, 1, 0, 1, 1, 2, 4, 3, 4, 0, 2, 2, 3, 4, 2, 2, 4, 0, 3, 4, 3, 1, 3, 2, 3, 1, 3, 2, 1, 3, 2, 0, 2, 1, 4, 4, 3, 4, 4, 3, 3, 3, 0, 0, 1, 4, 0, 0, 3, 2, 4, 2, 2, 0, 2, 2, 3, 1, 0, 2, 2, 4, 1, 2, 3, 4, 2, 4, 4, 2, 2, 4, 4, 2, 3, 4, 4, 2, 3, 4, 4, 4, 0, 4, 0, 1, 1, 0, 4, 0, 3, 3, 4, 3, 2, 3, 3, 2, 3, 0, 1, 1, 2, 0, 0, 2, 3, 0, 4, 4, 0, 1, 0, 3, 1, 2, 0, 2, 4, 0, 3, 0, 0, 1, 3, 4, 4, 2, 0, 4, 3, 2, 0, 1, 0, 1]
pubkeycol1019 = [3, 1, 4, 4, 0, 2, 0, 4, 3, 2, 3, 3, 4, 4, 1, 3, 0, 1, 0, 4, 2, 3, 4, 0, 2, 2, 2, 4, 3, 3, 2, 0, 2, 3, 0, 4, 4, 0, 3, 4, 3, 0, 0, 0, 2, 2, 0, 4, 4, 2, 2, 2, 4, 1, 2, 4, 2, 1, 4, 1, 2, 3, 2, 2, 3, 4, 2, 3, 3, 0, 4, 3, 4, 3, 4, 2, 1, 1, 0, 4, 0, 1, 1, 3, 2, 4, 4, 2, 1, 2, 4, 4, 3, 4, 4, 3, 1, 0, 4, 1, 3, 2, 0, 3, 1, 1, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 0, 4, 0, 1, 1, 0, 0, 2, 3, 0, 1, 4, 1, 1, 3, 3, 0, 3, 2, 1, 4, 2, 2, 3, 4, 3, 0, 3, 1, 3, 4, 3, 0, 4, 3, 2, 2, 4, 4, 4, 3, 3, 1, 2, 1, 1, 3, 0, 1, 1, 3, 2, 1, 3, 1, 1, 0, 1, 0, 0, 4, 3, 3, 1, 2, 0, 4, 4, 0, 2, 3, 0, 2, 3, 0, 4, 0, 4, 4, 3, 2, 3, 4, 0, 2, 4, 3, 4, 0, 4, 2, 1, 1, 0, 4, 2, 1, 0, 2, 3, 2, 0, 4, 2, 4, 3, 1, 4, 3, 0, 1, 0, 2, 0, 4, 1, 4, 3, 3, 4, 0, 2, 3, 3, 2, 3, 3, 1, 2, 2, 4, 0, 1, 0, 1, 2, 4, 0, 2, 0, 4, 3, 0, 0, 0, 4, 0, 4, 2, 2, 0, 1, 3, 4, 4, 2, 0, 3, 2, 3, 4, 0, 4, 3, 3, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 4, 1, 3, 4, 1, 2, 4, 0, 4, 1, 1, 0, 4, 1, 0, 3, 0, 3, 3, 1, 3, 4, 2, 2, 2, 1, 4, 2, 4, 0, 1, 3, 2, 3, 4, 4, 3, 2, 2, 1, 3, 2, 4, 4, 0, 4, 3, 0, 2, 1, 4, 2, 0, 1, 1, 4, 2, 3, 2, 0, 2, 1, 4, 0, 3, 3, 2, 0, 0, 2, 4, 1, 4, 2, 1, 3, 2, 2, 1, 4, 0, 0, 4, 4, 2, 2, 3, 3, 1, 4, 4, 4, 2, 2, 3, 2, 1, 4, 0, 4, 4, 1, 1, 2, 0, 4]
pubkeycol1020 = [1, 2, 4, 2, 2, 0, 1, 0, 1, 3, 3, 1, 1, 1, 3, 0, 2, 1, 4, 4, 3, 4, 1, 0, 1, 1, 3, 0, 0, 2, 2, 1, 1, 2, 3, 2, 3, 3, 1, 0, 3, 1, 4, 3, 3, 2, 1, 3, 2, 4, 4, 1, 2, 2, 2, 2, 4, 3, 2, 3, 3, 3, 0, 1, 4, 2, 0, 1, 4, 2, 4, 3, 3, 2, 0, 0, 0, 2, 0, 1, 1, 1, 4, 2, 1, 1, 4, 0, 3, 0, 2, 4, 0, 0, 2, 3, 1, 3, 2, 0, 1, 4, 1, 3, 1, 3, 4, 2, 3, 1, 1, 3, 0, 0, 2, 0, 0, 2, 4, 3, 1, 4, 0, 1, 4, 3, 0, 1, 2, 4, 3, 4, 4, 3, 4, 4, 1, 4, 3, 1, 2, 4, 0, 0, 3, 4, 3, 2, 0, 3, 3, 0, 2, 3, 3, 3, 2, 1, 2, 1, 0, 1, 1, 2, 3, 3, 2, 2, 0, 1, 2, 0, 3, 2, 3, 0, 4, 4, 4, 3, 2, 0, 4, 0, 4, 3, 2, 1, 1, 3, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 4, 2, 1, 3, 4, 1, 2, 0, 1, 3, 0, 3, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 2, 0, 1, 2, 0, 1, 3, 1, 1, 4, 3, 1, 2, 1, 1, 0, 3, 2, 2, 1, 2, 1, 0, 1, 0, 4, 3, 2, 0, 2, 2, 2, 3, 0, 1, 0, 3, 2, 4, 1, 3, 0, 4, 4, 0, 4, 4, 3, 4, 4, 0, 1, 2, 1, 4, 3, 1, 3, 0, 3, 0, 0, 4, 2, 2, 3, 3, 1, 0, 0, 0, 4, 1, 0, 4, 0, 4, 1, 1, 1, 0, 4, 4, 2, 0, 0, 4, 3, 0, 0, 3, 3, 2, 3, 4, 1, 4, 1, 3, 0, 0, 0, 2, 0, 2, 3, 2, 1, 3, 2, 0, 1, 0, 4, 1, 0, 3, 2, 0, 0, 3, 4, 1, 1, 1, 3, 0, 1, 3, 4, 0, 2, 3, 3, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 4, 4, 1, 4, 2, 0, 2, 4, 3, 0, 1, 1, 4, 1, 0, 4, 0, 0, 2, 2, 3, 0, 1, 3, 1, 4, 3, 2]
pubkeycol1021 = [0, 3, 0, 0, 1, 3, 3, 0, 4, 2, 1, 0, 2, 2, 3, 2, 2, 3, 2, 2, 0, 1, 3, 0, 3, 2, 0, 3, 3, 2, 3, 2, 2, 3, 1, 3, 4, 4, 0, 4, 2, 4, 1, 2, 1, 1, 2, 2, 4, 3, 1, 2, 4, 0, 2, 0, 1, 0, 4, 1, 4, 0, 2, 1, 0, 0, 4, 4, 0, 1, 2, 4, 4, 1, 3, 1, 4, 4, 4, 4, 1, 3, 3, 3, 2, 0, 0, 2, 0, 3, 2, 4, 0, 2, 0, 1, 2, 4, 3, 3, 4, 1, 0, 2, 4, 0, 3, 3, 2, 3, 2, 1, 3, 4, 3, 4, 0, 1, 1, 4, 4, 2, 4, 1, 1, 2, 3, 2, 1, 3, 3, 3, 4, 2, 3, 2, 4, 3, 2, 3, 1, 0, 3, 0, 3, 0, 3, 4, 0, 0, 3, 2, 3, 1, 2, 3, 3, 3, 3, 3, 0, 4, 0, 1, 3, 0, 3, 0, 3, 2, 1, 1, 4, 0, 1, 4, 4, 1, 2, 1, 3, 3, 0, 2, 3, 2, 2, 4, 0, 0, 2, 3, 0, 2, 2, 0, 1, 0, 0, 4, 3, 1, 2, 1, 3, 1, 1, 1, 2, 0, 0, 4, 4, 1, 0, 0, 0, 1, 0, 1, 4, 4, 3, 1, 0, 0, 2, 3, 4, 1, 0, 4, 2, 2, 0, 4, 0, 2, 4, 3, 0, 2, 3, 1, 2, 4, 3, 4, 2, 0, 0, 0, 2, 1, 0, 0, 4, 0, 2, 2, 3, 1, 0, 3, 1, 2, 2, 3, 4, 2, 4, 0, 1, 0, 0, 4, 4, 2, 1, 1, 1, 2, 0, 1, 3, 4, 3, 0, 4, 3, 4, 4, 2, 3, 0, 1, 1, 1, 0, 3, 2, 3, 3, 2, 3, 0, 4, 1, 3, 4, 4, 3, 3, 3, 0, 2, 1, 0, 4, 4, 3, 1, 0, 0, 3, 2, 4, 2, 4, 3, 1, 4, 0, 2, 1, 2, 1, 3, 0, 1, 2, 2, 3, 2, 0, 0, 1, 3, 3, 2, 0, 4, 1, 4, 1, 1, 3, 0, 2, 2, 2, 2, 0, 0, 4, 0, 1, 3, 2, 0, 0, 2, 1, 3, 0, 3, 2, 3, 4, 2, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 0, 1, 2, 0, 4, 0, 4, 4, 4, 1]
pubkeycol1022 = [2, 0, 0, 1, 4, 2, 4, 4, 0, 4, 0, 3, 0, 0, 4, 0, 1, 0, 2, 1, 0, 3, 2, 1, 4, 4, 2, 1, 4, 4, 3, 4, 3, 4, 3, 1, 1, 0, 4, 2, 3, 0, 0, 0, 3, 4, 1, 3, 3, 2, 2, 1, 3, 0, 3, 2, 1, 1, 2, 3, 4, 1, 0, 3, 3, 1, 4, 0, 0, 2, 0, 0, 4, 0, 4, 4, 2, 4, 1, 4, 3, 0, 1, 3, 0, 1, 2, 3, 0, 0, 3, 0, 4, 0, 3, 4, 2, 2, 2, 4, 2, 0, 0, 0, 4, 2, 2, 0, 2, 1, 3, 4, 2, 3, 2, 1, 2, 3, 1, 3, 4, 3, 3, 0, 0, 1, 1, 3, 4, 2, 0, 2, 0, 0, 4, 1, 0, 1, 2, 0, 0, 1, 3, 2, 3, 4, 1, 2, 0, 2, 1, 3, 4, 3, 3, 4, 3, 2, 0, 3, 2, 4, 4, 4, 4, 4, 0, 2, 3, 2, 4, 0, 4, 4, 2, 4, 2, 2, 3, 3, 1, 1, 4, 3, 4, 1, 0, 2, 2, 3, 4, 4, 2, 3, 2, 2, 4, 1, 1, 4, 4, 0, 0, 1, 0, 2, 2, 1, 1, 3, 0, 1, 0, 0, 4, 0, 1, 4, 4, 2, 3, 2, 4, 2, 1, 2, 4, 0, 3, 3, 2, 3, 2, 3, 1, 2, 4, 0, 2, 1, 1, 2, 2, 3, 1, 3, 1, 1, 1, 4, 2, 2, 3, 4, 2, 4, 1, 3, 2, 4, 3, 0, 2, 4, 4, 3, 3, 2, 1, 1, 3, 3, 4, 4, 4, 2, 2, 1, 1, 0, 0, 4, 0, 0, 0, 0, 4, 3, 0, 3, 2, 0, 2, 3, 3, 1, 0, 4, 3, 3, 3, 0, 3, 1, 0, 4, 4, 0, 3, 3, 4, 4, 2, 0, 0, 0, 4, 1, 1, 0, 4, 3, 0, 3, 3, 4, 4, 1, 3, 0, 1, 3, 1, 3, 1, 2, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 4, 3, 1, 1, 3, 1, 3, 1, 1, 0, 3, 0, 2, 0, 3, 1, 3, 0, 3, 1, 4, 4, 2, 3, 2, 4, 3, 3, 1, 0, 3, 2, 2, 0, 4, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 4, 3, 3, 0, 1, 4, 3, 2]
pubkeycol1023 = [4, 0, 3, 1, 3, 1, 3, 2, 4, 2, 2, 0, 3, 3, 3, 4, 1, 3, 0, 2, 1, 4, 3, 0, 2, 4, 0, 0, 0, 4, 0, 3, 3, 0, 2, 0, 3, 0, 3, 3, 3, 3, 2, 0, 4, 2, 2, 4, 4, 2, 0, 2, 1, 2, 0, 3, 0, 0, 0, 0, 0, 0, 1, 4, 2, 2, 0, 3, 3, 4, 4, 0, 0, 4, 0, 0, 1, 0, 2, 2, 3, 0, 0, 4, 3, 3, 2, 4, 2, 1, 0, 2, 2, 2, 0, 1, 4, 2, 3, 2, 1, 1, 4, 1, 3, 2, 2, 4, 4, 2, 0, 2, 0, 0, 2, 0, 4, 2, 2, 1, 0, 2, 0, 4, 3, 0, 0, 3, 4, 4, 0, 2, 0, 4, 2, 3, 2, 1, 2, 3, 1, 0, 0, 0, 3, 0, 2, 0, 4, 3, 1, 3, 1, 4, 0, 0, 4, 1, 0, 3, 1, 3, 2, 0, 1, 4, 1, 1, 0, 1, 4, 2, 2, 3, 3, 2, 4, 4, 4, 2, 4, 3, 3, 0, 3, 4, 3, 3, 4, 1, 1, 1, 0, 3, 4, 1, 4, 3, 2, 3, 0, 3, 0, 1, 2, 2, 4, 4, 4, 4, 1, 0, 1, 0, 1, 2, 4, 4, 3, 0, 1, 3, 4, 4, 4, 3, 0, 4, 0, 3, 3, 1, 1, 1, 4, 3, 3, 1, 0, 4, 2, 1, 4, 4, 3, 2, 2, 1, 0, 3, 1, 2, 4, 0, 0, 3, 1, 4, 1, 3, 2, 2, 0, 2, 1, 1, 1, 2, 4, 3, 4, 4, 0, 2, 4, 3, 1, 0, 4, 0, 2, 1, 2, 1, 2, 2, 0, 1, 3, 3, 4, 2, 3, 0, 2, 0, 4, 2, 0, 2, 1, 3, 1, 4, 3, 4, 4, 4, 4, 3, 1, 3, 2, 1, 4, 1, 1, 4, 2, 0, 1, 0, 2, 3, 1, 0, 4, 1, 2, 1, 1, 2, 0, 3, 1, 2, 1, 0, 4, 1, 1, 2, 2, 1, 2, 0, 4, 3, 4, 3, 4, 0, 0, 0, 2, 0, 1, 1, 0, 3, 2, 1, 4, 1, 1, 2, 2, 2, 3, 4, 0, 2, 1, 2, 0, 4, 2, 4, 2, 3, 1, 0, 0, 2, 1, 1, 4, 2, 2, 4, 1, 2, 2, 0, 3, 0, 3, 2, 3, 2]
pubkeycol1024 = [1, 2, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 4, 0, 4, 4, 1, 4, 4, 2, 0, 3, 2, 0, 2, 2, 0, 1, 2, 0, 1, 4, 0, 0, 3, 3, 4, 4, 0, 0, 4, 3, 1, 1, 0, 4, 0, 0, 2, 2, 4, 3, 3, 2, 1, 4, 0, 2, 3, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 3, 4, 0, 2, 0, 1, 3, 1, 2, 2, 2, 2, 2, 0, 3, 2, 1, 4, 4, 0, 2, 3, 4, 3, 3, 2, 1, 0, 2, 0, 1, 0, 3, 4, 3, 0, 2, 4, 4, 0, 2, 0, 2, 0, 4, 0, 2, 0, 4, 0, 1, 3, 3, 4, 1, 0, 1, 0, 1, 2, 4, 0, 1, 2, 0, 1, 4, 1, 3, 4, 4, 0, 3, 3, 2, 4, 4, 0, 4, 3, 1, 2, 1, 2, 0, 1, 0, 2, 3, 4, 4, 0, 1, 4, 0, 2, 0, 0, 4, 1, 1, 2, 0, 2, 1, 4, 1, 2, 2, 3, 4, 1, 0, 2, 4, 0, 2, 1, 1, 3, 0, 0, 3, 0, 1, 4, 1, 1, 1, 2, 2, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 0, 0, 2, 4, 3, 0, 0, 2, 1, 2, 1, 3, 0, 0, 3, 1, 4, 3, 2, 2, 1, 4, 0, 3, 1, 1, 4, 4, 4, 4, 2, 4, 1, 2, 3, 1, 4, 2, 0, 1, 2, 0, 1, 0, 0, 4, 4, 2, 2, 4, 4, 3, 3, 4, 0, 4, 2, 0, 3, 2, 2, 1, 0, 2, 3, 3, 2, 2, 1, 3, 3, 1, 4, 0, 1, 3, 3, 1, 4, 3, 1, 1, 1, 4, 4, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 4, 3, 1, 0, 1, 3, 3, 0, 2, 3, 3, 4, 1, 2, 2, 2, 2, 0, 3, 4, 4, 0, 2, 2, 0, 0, 2, 1, 2, 1, 4, 1, 4, 0, 0, 2, 4, 3, 1, 1, 2, 1, 0, 4, 4, 0, 0, 0, 1, 3, 4, 4, 0, 1, 2, 2, 1, 3, 0, 3, 4, 1, 3, 2, 4, 3, 1, 3, 0, 2, 0, 3, 2, 1, 0, 0, 1, 3, 0, 3, 2, 3, 4, 3, 0, 0, 2, 4, 1, 2, 0, 2, 3, 2]
pubkeycol1025 = [0, 4, 2, 3, 2, 4, 1, 0, 3, 0, 3, 1, 1, 0, 3, 0, 2, 2, 1, 2, 2, 1, 3, 1, 3, 4, 0, 4, 3, 4, 3, 3, 4, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 3, 3, 1, 2, 0, 3, 2, 0, 3, 1, 4, 0, 1, 3, 2, 0, 4, 2, 2, 3, 4, 4, 1, 2, 0, 4, 2, 3, 2, 2, 1, 1, 4, 4, 3, 2, 2, 4, 0, 3, 1, 3, 1, 1, 3, 3, 0, 3, 4, 4, 0, 2, 2, 1, 0, 0, 0, 2, 3, 1, 1, 1, 0, 4, 0, 4, 1, 2, 4, 0, 4, 3, 0, 3, 3, 3, 3, 1, 0, 1, 0, 2, 0, 2, 0, 1, 3, 3, 0, 4, 0, 2, 1, 2, 3, 3, 1, 4, 1, 3, 3, 3, 1, 1, 3, 1, 3, 0, 0, 0, 3, 3, 1, 0, 1, 0, 4, 2, 1, 4, 2, 4, 4, 2, 1, 1, 1, 0, 0, 0, 3, 3, 0, 4, 0, 0, 4, 1, 1, 4, 2, 4, 3, 0, 2, 1, 2, 4, 3, 3, 1, 3, 1, 1, 0, 4, 0, 4, 1, 3, 0, 4, 2, 4, 3, 0, 3, 0, 1, 2, 2, 3, 2, 4, 2, 3, 1, 1, 3, 2, 4, 3, 4, 3, 1, 0, 2, 3, 4, 4, 2, 4, 1, 1, 1, 0, 1, 4, 0, 4, 2, 4, 1, 2, 4, 1, 2, 1, 2, 2, 2, 0, 0, 2, 3, 3, 2, 1, 3, 3, 2, 1, 0, 3, 4, 3, 3, 3, 0, 4, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 4, 0, 2, 3, 0, 1, 0, 4, 1, 2, 4, 4, 0, 3, 4, 4, 2, 0, 0, 4, 3, 1, 2, 2, 0, 2, 3, 4, 0, 0, 2, 0, 2, 0, 3, 3, 0, 1, 4, 3, 3, 3, 4, 4, 3, 4, 0, 2, 1, 4, 1, 2, 3, 1, 3, 2, 2, 4, 2, 0, 4, 3, 4, 1, 1, 4, 2, 3, 1, 3, 4, 0, 1, 3, 2, 2, 0, 4, 2, 4, 1, 2, 1, 2, 0, 4, 1, 0, 4, 0, 4, 0, 3, 4, 2, 4, 0, 1, 2, 3, 2, 1, 0, 1, 2, 4, 1, 2, 2, 3]
pubkeycol1026 = [0, 0, 3, 2, 2, 2, 3, 2, 0, 2, 0, 4, 1, 2, 0, 0, 4, 3, 0, 0, 4, 4, 3, 3, 2, 3, 2, 4, 0, 0, 2, 0, 2, 0, 1, 0, 3, 2, 0, 4, 4, 3, 1, 3, 3, 4, 3, 1, 3, 0, 4, 0, 1, 4, 1, 0, 3, 2, 1, 3, 2, 4, 4, 0, 4, 2, 0, 2, 1, 0, 3, 4, 4, 4, 4, 3, 0, 4, 4, 1, 2, 3, 2, 1, 0, 4, 3, 1, 3, 3, 4, 0, 0, 4, 2, 3, 2, 4, 1, 4, 1, 4, 3, 2, 0, 1, 3, 1, 1, 2, 3, 3, 4, 0, 0, 0, 0, 3, 0, 2, 3, 4, 0, 4, 1, 0, 2, 2, 3, 0, 4, 4, 1, 3, 4, 4, 1, 2, 0, 2, 4, 4, 2, 0, 2, 1, 3, 1, 2, 1, 3, 2, 4, 1, 3, 0, 4, 0, 3, 3, 1, 2, 4, 3, 2, 2, 4, 0, 1, 4, 3, 1, 3, 3, 4, 4, 4, 3, 0, 0, 2, 0, 2, 4, 3, 2, 4, 2, 4, 1, 1, 3, 2, 4, 0, 4, 2, 2, 0, 3, 0, 3, 4, 1, 0, 0, 0, 3, 0, 2, 0, 1, 1, 0, 4, 2, 4, 0, 2, 3, 4, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 3, 0, 1, 0, 3, 0, 1, 1, 4, 0, 1, 4, 1, 4, 2, 3, 3, 0, 1, 2, 3, 2, 4, 4, 3, 4, 1, 4, 4, 3, 1, 2, 2, 2, 3, 4, 3, 4, 4, 0, 3, 4, 3, 4, 0, 4, 0, 3, 1, 1, 2, 3, 3, 2, 1, 0, 2, 3, 4, 4, 1, 4, 1, 1, 1, 1, 2, 0, 0, 1, 4, 0, 1, 2, 1, 1, 4, 1, 4, 2, 1, 1, 4, 1, 4, 1, 2, 0, 2, 2, 2, 4, 0, 1, 3, 2, 2, 0, 0, 2, 4, 3, 1, 0, 4, 3, 0, 3, 1, 1, 0, 2, 2, 3, 4, 1, 0, 3, 0, 3, 4, 0, 0, 4, 3, 4, 1, 2, 4, 1, 0, 4, 1, 1, 0, 2, 4, 4, 3, 0, 2, 1, 4, 1, 4, 0, 3, 1, 1, 4, 0, 0, 4, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 0]
pubkeycol1027 = [1, 0, 2, 4, 0, 1, 4, 3, 0, 2, 4, 3, 4, 4, 2, 3, 1, 2, 0, 3, 0, 2, 4, 2, 0, 0, 1, 1, 3, 3, 3, 4, 2, 3, 4, 4, 3, 1, 3, 4, 1, 0, 2, 0, 3, 3, 3, 0, 3, 1, 0, 2, 2, 0, 0, 1, 4, 0, 0, 2, 2, 4, 0, 3, 3, 2, 0, 2, 2, 3, 1, 4, 1, 0, 4, 3, 4, 0, 2, 3, 0, 1, 0, 3, 3, 4, 2, 1, 4, 0, 0, 3, 3, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 4, 0, 2, 3, 3, 1, 3, 3, 2, 4, 1, 4, 0, 1, 1, 1, 4, 1, 3, 4, 3, 2, 1, 2, 3, 2, 0, 4, 3, 0, 4, 2, 0, 2, 3, 1, 1, 1, 1, 3, 0, 2, 1, 3, 4, 2, 2, 1, 2, 0, 4, 4, 2, 0, 4, 0, 0, 0, 2, 3, 1, 4, 2, 0, 3, 1, 0, 1, 3, 0, 4, 3, 0, 3, 0, 4, 2, 2, 3, 0, 0, 0, 2, 2, 4, 0, 4, 0, 0, 3, 0, 1, 1, 4, 0, 1, 3, 4, 0, 1, 4, 4, 4, 1, 2, 2, 4, 0, 0, 0, 0, 2, 4, 2, 1, 1, 1, 0, 3, 0, 4, 0, 3, 3, 1, 1, 1, 4, 1, 1, 3, 1, 3, 0, 3, 4, 1, 4, 4, 1, 4, 0, 1, 2, 2, 3, 1, 3, 4, 4, 2, 4, 4, 1, 2, 4, 0, 2, 3, 0, 2, 3, 3, 2, 0, 3, 0, 4, 3, 1, 3, 3, 1, 3, 1, 0, 3, 3, 3, 3, 0, 0, 4, 2, 4, 4, 1, 2, 1, 2, 4, 2, 0, 3, 4, 1, 1, 1, 4, 4, 1, 0, 3, 2, 4, 3, 1, 1, 0, 2, 0, 1, 3, 1, 4, 3, 2, 3, 0, 3, 2, 3, 2, 2, 4, 4, 3, 2, 0, 3, 0, 4, 0, 2, 0, 0, 0, 2, 1, 0, 3, 0, 3, 0, 0, 0, 3, 1, 2, 1, 2, 3, 3, 4, 3, 2, 2, 3, 4, 3, 4, 3, 1, 3, 1, 2, 2, 3, 2, 0, 0, 3, 4, 3, 2, 3, 1, 3, 0, 4, 1, 4, 3, 3, 4, 2, 1, 4, 1, 2, 1, 0, 4, 2, 0]
pubkeycol1028 = [3, 2, 3, 1, 1, 3, 4, 3, 2, 1, 0, 1, 1, 3, 2, 1, 3, 4, 1, 0, 1, 3, 2, 3, 4, 4, 1, 1, 0, 1, 3, 3, 2, 2, 3, 2, 0, 2, 1, 4, 3, 1, 2, 1, 3, 3, 3, 1, 0, 0, 3, 2, 0, 3, 0, 1, 3, 4, 3, 1, 1, 4, 2, 3, 1, 0, 2, 2, 1, 0, 0, 1, 4, 1, 2, 2, 3, 3, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 4, 2, 1, 1, 3, 0, 0, 4, 3, 2, 2, 2, 0, 4, 3, 1, 0, 4, 3, 1, 1, 1, 1, 2, 4, 0, 1, 1, 1, 1, 3, 3, 4, 0, 0, 3, 2, 1, 0, 2, 4, 0, 2, 4, 0, 2, 4, 2, 2, 4, 3, 0, 3, 1, 0, 1, 3, 4, 4, 3, 3, 2, 4, 1, 2, 4, 0, 2, 2, 4, 4, 1, 1, 2, 2, 4, 2, 2, 1, 0, 4, 0, 1, 0, 2, 4, 1, 0, 1, 0, 0, 0, 2, 3, 3, 4, 3, 0, 2, 2, 0, 4, 1, 2, 0, 2, 1, 2, 4, 1, 2, 3, 0, 3, 3, 4, 0, 2, 0, 1, 2, 3, 1, 3, 1, 4, 3, 0, 0, 4, 1, 2, 2, 1, 4, 1, 3, 0, 3, 4, 0, 4, 3, 2, 1, 1, 2, 0, 0, 2, 4, 1, 2, 3, 4, 3, 1, 1, 2, 1, 1, 3, 4, 4, 1, 0, 1, 3, 3, 1, 1, 4, 1, 3, 1, 2, 2, 3, 4, 2, 4, 0, 1, 3, 4, 2, 2, 4, 4, 4, 0, 2, 1, 2, 3, 3, 4, 1, 2, 4, 4, 2, 1, 0, 1, 1, 4, 0, 0, 1, 2, 2, 2, 2, 4, 3, 0, 4, 2, 4, 1, 0, 1, 3, 0, 3, 0, 1, 4, 0, 0, 4, 1, 3, 4, 3, 4, 4, 4, 2, 0, 2, 0, 3, 0, 0, 2, 3, 3, 1, 3, 3, 2, 2, 3, 0, 4, 0, 2, 3, 4, 4, 2, 1, 2, 4, 1, 4, 1, 4, 4, 1, 4, 2, 1, 4, 0, 3, 2, 2, 4, 3, 2, 0, 2, 3, 2, 4, 3, 1, 3, 4, 3, 4, 4, 1, 1, 1, 1, 4, 3, 2, 0, 0, 0, 4, 4, 0, 2, 1, 0, 2]
pubkeycol1029 = [3, 2, 4, 4, 4, 3, 3, 0, 0, 1, 1, 1, 4, 4, 4, 0, 4, 1, 2, 1, 4, 0, 4, 4, 1, 2, 3, 0, 0, 1, 0, 2, 2, 1, 2, 1, 3, 0, 1, 1, 4, 0, 4, 1, 4, 4, 1, 4, 1, 2, 1, 2, 3, 2, 0, 1, 3, 4, 2, 0, 1, 4, 4, 1, 0, 2, 4, 4, 3, 1, 4, 3, 4, 2, 4, 2, 3, 1, 1, 2, 4, 2, 3, 0, 2, 1, 3, 2, 2, 0, 4, 1, 1, 4, 2, 4, 3, 0, 2, 1, 4, 1, 2, 0, 0, 3, 0, 4, 0, 2, 0, 0, 0, 0, 3, 4, 2, 4, 1, 0, 1, 0, 3, 2, 0, 4, 1, 0, 1, 3, 2, 2, 0, 2, 2, 2, 2, 0, 0, 4, 4, 3, 0, 3, 1, 0, 2, 2, 2, 4, 2, 0, 4, 2, 0, 3, 0, 0, 3, 3, 0, 3, 3, 4, 3, 4, 3, 3, 0, 2, 0, 4, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 4, 2, 1, 3, 1, 1, 2, 1, 0, 4, 3, 1, 1, 2, 0, 2, 3, 2, 0, 4, 0, 2, 0, 1, 2, 3, 2, 0, 2, 4, 3, 1, 1, 2, 4, 1, 1, 3, 3, 1, 0, 2, 1, 0, 0, 2, 3, 2, 2, 4, 3, 3, 2, 3, 3, 0, 0, 0, 1, 3, 3, 2, 4, 2, 1, 0, 0, 0, 3, 2, 4, 1, 2, 4, 3, 3, 1, 3, 0, 1, 1, 2, 4, 1, 1, 2, 1, 2, 3, 2, 0, 4, 0, 0, 3, 0, 4, 0, 0, 3, 2, 4, 1, 4, 1, 1, 4, 1, 4, 0, 1, 0, 3, 2, 1, 3, 3, 4, 2, 4, 1, 1, 4, 3, 0, 2, 4, 4, 3, 1, 3, 3, 3, 4, 1, 0, 1, 4, 1, 2, 2, 4, 0, 4, 3, 1, 3, 4, 3, 4, 3, 2, 4, 1, 2, 4, 1, 2, 0, 1, 3, 0, 3, 0, 1, 0, 3, 2, 4, 2, 2, 2, 0, 4, 0, 0, 1, 4, 4, 4, 1, 3, 1, 1, 1, 1, 2, 3, 2, 4, 2, 2, 0, 2, 1, 4, 4, 0, 0, 1, 4, 2, 0, 0, 4, 1, 1, 0, 2, 2, 1, 3, 4, 1, 2, 1, 2, 4]
pubkeycol1030 = [1, 4, 1, 1, 0, 4, 3, 2, 2, 3, 0, 4, 4, 1, 3, 1, 4, 2, 3, 3, 2, 0, 4, 2, 3, 3, 2, 3, 4, 1, 0, 1, 3, 3, 0, 4, 2, 4, 1, 3, 1, 4, 4, 4, 1, 3, 2, 1, 0, 3, 4, 2, 0, 4, 2, 1, 2, 2, 3, 4, 3, 4, 2, 3, 0, 1, 0, 0, 1, 1, 0, 0, 4, 0, 1, 1, 4, 2, 2, 1, 0, 4, 3, 0, 4, 2, 2, 1, 1, 1, 0, 0, 3, 4, 1, 2, 3, 3, 1, 2, 4, 2, 1, 1, 2, 2, 2, 4, 0, 0, 4, 1, 1, 2, 2, 1, 0, 0, 4, 0, 1, 3, 4, 0, 4, 1, 2, 3, 1, 1, 4, 4, 3, 4, 3, 0, 4, 1, 2, 1, 3, 0, 0, 3, 4, 4, 3, 2, 0, 2, 4, 0, 2, 3, 3, 1, 3, 0, 2, 2, 0, 2, 4, 4, 4, 1, 0, 0, 3, 0, 1, 3, 3, 0, 3, 0, 1, 1, 0, 3, 2, 0, 1, 3, 4, 0, 0, 1, 1, 3, 3, 3, 3, 2, 4, 2, 2, 4, 3, 3, 1, 0, 0, 4, 4, 0, 1, 4, 4, 0, 0, 0, 2, 4, 1, 4, 4, 1, 4, 4, 3, 0, 4, 1, 4, 2, 4, 1, 0, 2, 2, 2, 4, 3, 3, 1, 4, 3, 2, 1, 1, 4, 4, 4, 1, 4, 4, 0, 2, 3, 2, 0, 4, 0, 1, 0, 4, 2, 0, 2, 0, 4, 0, 2, 1, 4, 3, 1, 4, 4, 1, 1, 1, 4, 0, 1, 4, 4, 1, 2, 3, 3, 4, 4, 2, 0, 2, 4, 4, 0, 2, 2, 0, 1, 0, 3, 3, 1, 2, 2, 2, 2, 1, 3, 2, 2, 4, 1, 4, 2, 4, 1, 1, 3, 3, 1, 1, 3, 4, 0, 0, 0, 3, 1, 2, 1, 1, 4, 3, 4, 1, 4, 0, 0, 0, 4, 3, 2, 1, 0, 3, 1, 4, 0, 2, 3, 0, 1, 4, 3, 0, 1, 2, 3, 0, 1, 2, 4, 2, 1, 3, 0, 0, 3, 4, 1, 4, 2, 0, 3, 4, 4, 4, 0, 1, 4, 0, 4, 2, 4, 0, 0, 3, 0, 1, 0, 4, 1, 0, 3, 3, 2, 4, 3, 4, 0, 4, 4, 0, 4]
pubkeycol1031 = [0, 3, 2, 0, 2, 0, 2, 0, 4, 1, 4, 0, 1, 3, 1, 3, 3, 3, 3, 1, 3, 2, 0, 4, 3, 0, 3, 0, 0, 4, 0, 2, 0, 0, 4, 0, 1, 0, 4, 3, 3, 1, 2, 3, 3, 1, 3, 2, 4, 3, 2, 3, 1, 4, 4, 0, 0, 1, 2, 3, 3, 1, 4, 1, 1, 2, 2, 3, 0, 4, 1, 4, 1, 4, 3, 0, 0, 1, 2, 3, 2, 3, 0, 0, 1, 1, 1, 0, 3, 1, 0, 0, 4, 3, 2, 2, 4, 4, 0, 2, 2, 4, 1, 4, 1, 0, 1, 0, 4, 2, 1, 3, 4, 2, 4, 1, 3, 3, 4, 4, 1, 3, 1, 0, 1, 0, 3, 2, 3, 0, 0, 2, 2, 1, 1, 0, 3, 1, 4, 2, 0, 1, 4, 3, 0, 4, 1, 3, 4, 4, 0, 2, 4, 3, 1, 0, 0, 2, 1, 4, 3, 1, 4, 2, 2, 1, 1, 3, 3, 1, 0, 1, 3, 1, 1, 2, 3, 0, 2, 2, 2, 2, 4, 2, 2, 3, 4, 1, 0, 4, 0, 0, 2, 4, 0, 0, 0, 4, 0, 2, 4, 4, 1, 0, 3, 1, 2, 0, 1, 2, 0, 3, 0, 1, 2, 1, 3, 4, 1, 1, 1, 4, 0, 1, 0, 1, 1, 1, 3, 2, 3, 3, 3, 3, 0, 3, 0, 3, 0, 1, 3, 4, 2, 1, 1, 4, 0, 3, 3, 1, 1, 2, 0, 3, 1, 0, 1, 0, 3, 1, 0, 0, 4, 4, 2, 3, 0, 1, 1, 3, 4, 4, 3, 4, 3, 0, 2, 1, 1, 2, 4, 2, 3, 1, 4, 1, 2, 2, 3, 1, 1, 0, 3, 3, 2, 2, 2, 3, 4, 2, 3, 2, 4, 4, 4, 2, 3, 0, 4, 2, 3, 4, 0, 2, 2, 4, 0, 3, 2, 1, 1, 2, 0, 1, 3, 0, 0, 2, 4, 4, 3, 4, 3, 2, 3, 2, 4, 2, 2, 4, 4, 3, 4, 2, 0, 1, 1, 2, 3, 1, 0, 2, 0, 2, 0, 3, 0, 1, 2, 0, 1, 4, 0, 4, 3, 1, 1, 3, 2, 1, 2, 2, 3, 1, 1, 1, 4, 0, 2, 2, 3, 1, 1, 2, 3, 1, 4, 2, 4, 4, 0, 0, 4, 3, 2, 3, 4, 1, 0, 3]
pubkeycol1032 = [3, 1, 2, 4, 3, 2, 3, 1, 4, 2, 1, 1, 4, 4, 0, 4, 4, 3, 3, 1, 0, 3, 4, 4, 0, 2, 4, 2, 1, 1, 0, 3, 2, 3, 1, 3, 2, 1, 0, 2, 1, 3, 1, 1, 0, 0, 3, 2, 1, 1, 0, 2, 4, 4, 1, 2, 4, 1, 1, 4, 1, 2, 1, 1, 0, 0, 2, 3, 4, 2, 0, 1, 1, 4, 1, 1, 4, 0, 2, 4, 3, 2, 0, 2, 1, 3, 3, 0, 4, 1, 1, 4, 2, 3, 3, 2, 3, 3, 1, 0, 2, 0, 3, 1, 2, 4, 2, 4, 2, 0, 2, 4, 4, 4, 1, 4, 0, 3, 3, 3, 3, 0, 3, 0, 1, 0, 4, 0, 3, 1, 2, 4, 1, 0, 0, 3, 2, 0, 1, 1, 4, 0, 0, 2, 3, 0, 4, 2, 3, 3, 4, 2, 2, 4, 4, 1, 2, 2, 0, 3, 0, 3, 4, 3, 2, 0, 1, 1, 3, 2, 1, 0, 3, 3, 4, 1, 2, 2, 1, 0, 4, 3, 0, 0, 1, 1, 3, 0, 1, 3, 3, 3, 3, 0, 1, 3, 2, 4, 2, 4, 2, 3, 3, 0, 2, 1, 2, 4, 3, 4, 3, 0, 4, 3, 0, 1, 4, 1, 1, 4, 1, 4, 2, 4, 4, 3, 2, 4, 1, 2, 2, 3, 3, 3, 0, 1, 0, 4, 4, 0, 1, 0, 1, 0, 0, 4, 2, 4, 1, 4, 4, 4, 2, 0, 2, 1, 0, 0, 4, 4, 3, 2, 0, 4, 2, 2, 1, 4, 0, 4, 4, 3, 0, 4, 2, 4, 3, 1, 1, 0, 1, 2, 2, 3, 0, 1, 2, 0, 4, 1, 3, 4, 1, 1, 2, 2, 0, 1, 1, 2, 4, 1, 4, 0, 2, 4, 2, 3, 4, 0, 1, 2, 4, 2, 2, 1, 2, 0, 0, 0, 1, 1, 3, 0, 4, 1, 1, 1, 3, 1, 4, 2, 3, 4, 2, 1, 0, 3, 0, 1, 0, 4, 1, 1, 2, 3, 2, 4, 4, 0, 4, 4, 3, 2, 1, 2, 1, 0, 2, 2, 1, 3, 4, 0, 4, 4, 2, 3, 0, 2, 0, 0, 1, 3, 3, 1, 4, 0, 4, 1, 4, 4, 1, 0, 3, 0, 4, 4, 3, 3, 2, 1, 0, 4, 3, 0, 1, 4, 0, 0]
pubkeycol1033 = [2, 2, 0, 3, 4, 3, 2, 1, 4, 3, 3, 4, 3, 0, 4, 0, 4, 1, 3, 1, 0, 0, 4, 0, 3, 1, 0, 2, 0, 0, 4, 4, 1, 3, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 3, 0, 4, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 4, 3, 1, 4, 3, 2, 0, 4, 0, 1, 4, 3, 3, 3, 4, 4, 1, 4, 4, 3, 1, 2, 4, 2, 4, 1, 0, 0, 3, 3, 1, 0, 2, 3, 0, 2, 2, 2, 4, 2, 1, 2, 0, 0, 2, 0, 4, 3, 4, 0, 3, 3, 2, 4, 1, 0, 3, 4, 3, 4, 3, 3, 1, 3, 4, 2, 3, 1, 2, 1, 2, 1, 0, 0, 1, 4, 0, 2, 2, 2, 2, 3, 0, 4, 1, 3, 1, 0, 4, 3, 4, 2, 0, 3, 3, 1, 0, 1, 3, 2, 1, 3, 1, 4, 2, 1, 3, 0, 3, 0, 4, 1, 1, 2, 2, 4, 0, 2, 0, 2, 3, 3, 1, 4, 4, 4, 3, 1, 0, 3, 2, 2, 4, 4, 3, 0, 2, 4, 3, 3, 3, 3, 4, 3, 4, 1, 4, 1, 2, 3, 1, 2, 1, 0, 1, 3, 0, 2, 1, 1, 2, 2, 3, 3, 1, 2, 3, 1, 1, 4, 4, 4, 3, 4, 2, 2, 0, 3, 4, 3, 4, 4, 0, 2, 3, 4, 3, 3, 2, 3, 3, 1, 0, 1, 3, 3, 3, 1, 1, 3, 1, 0, 3, 0, 2, 3, 2, 0, 1, 2, 4, 1, 4, 0, 2, 4, 2, 4, 0, 0, 2, 1, 3, 3, 3, 0, 0, 1, 2, 0, 1, 0, 0, 2, 4, 4, 3, 0, 0, 2, 2, 3, 0, 0, 0, 1, 3, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 0, 2, 1, 4, 2, 3, 1, 1, 0, 3, 0, 1, 2, 2, 0, 1, 3, 4, 0, 2, 2, 4, 3, 4, 0, 1, 0, 4, 0, 1, 2, 4, 2, 4, 3, 1, 4, 4, 4, 3, 4, 3, 2, 3, 0, 2, 3, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 4, 2, 0, 3, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 3, 1, 1, 0, 4, 2, 1, 2, 0]
pubkeycol1034 = [2, 0, 3, 0, 2, 3, 1, 4, 3, 1, 0, 3, 4, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 3, 3, 2, 0, 2, 1, 0, 3, 0, 4, 2, 1, 0, 1, 2, 2, 4, 4, 1, 4, 2, 0, 3, 4, 0, 4, 0, 0, 0, 0, 4, 2, 0, 2, 0, 1, 4, 1, 4, 4, 4, 3, 1, 1, 4, 3, 0, 1, 3, 1, 2, 2, 1, 2, 4, 0, 4, 2, 0, 4, 2, 0, 3, 2, 1, 0, 0, 2, 4, 0, 1, 3, 4, 4, 2, 0, 2, 0, 2, 3, 4, 2, 4, 0, 0, 3, 3, 0, 3, 2, 1, 0, 0, 2, 1, 0, 1, 1, 3, 2, 2, 2, 3, 0, 3, 3, 2, 2, 1, 4, 1, 3, 3, 0, 4, 2, 0, 1, 1, 4, 4, 2, 2, 3, 0, 1, 3, 0, 4, 4, 0, 2, 3, 4, 3, 4, 4, 4, 3, 3, 2, 2, 3, 2, 1, 0, 1, 0, 0, 3, 1, 2, 4, 0, 4, 2, 1, 1, 1, 3, 0, 0, 3, 4, 0, 1, 4, 4, 3, 2, 3, 2, 2, 4, 1, 0, 2, 2, 4, 4, 2, 2, 1, 3, 3, 0, 3, 2, 2, 0, 3, 0, 0, 4, 0, 0, 1, 2, 3, 2, 2, 2, 4, 1, 1, 1, 1, 1, 3, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 4, 3, 2, 2, 2, 1, 0, 1, 2, 1, 4, 2, 0, 3, 4, 0, 3, 2, 2, 1, 0, 0, 4, 0, 2, 3, 3, 0, 2, 1, 3, 1, 4, 0, 4, 1, 3, 4, 3, 2, 3, 1, 0, 1, 3, 4, 0, 0, 4, 4, 3, 0, 1, 2, 0, 2, 3, 3, 4, 0, 0, 0, 3, 1, 0, 3, 2, 3, 4, 1, 0, 2, 4, 0, 0, 4, 3, 1, 3, 4, 3, 0, 0, 0, 2, 2, 4, 0, 3, 4, 1, 1, 3, 2, 4, 2, 0, 2, 4, 2, 3, 4, 0, 3, 2, 2, 1, 1, 2, 1, 3, 2, 0, 0, 2, 1, 2, 3, 4, 4, 3, 3, 1, 2, 2, 3, 0, 2, 4, 0, 0, 2, 0, 3, 1, 1, 2, 0, 1, 4, 4, 4, 0, 2, 4, 4, 4, 0, 1, 2, 4, 1]
pubkeycol1035 = [0, 2, 0, 3, 4, 4, 2, 0, 1, 3, 3, 2, 4, 1, 1, 2, 3, 2, 2, 3, 0, 4, 0, 0, 1, 1, 0, 2, 0, 1, 3, 0, 0, 0, 0, 1, 0, 0, 0, 4, 4, 3, 4, 4, 4, 4, 2, 3, 1, 2, 2, 4, 1, 4, 1, 2, 2, 3, 0, 1, 1, 4, 4, 4, 3, 2, 4, 4, 1, 4, 1, 1, 4, 3, 3, 1, 3, 3, 0, 4, 0, 3, 2, 3, 2, 1, 1, 2, 0, 2, 4, 1, 3, 0, 4, 2, 3, 4, 4, 2, 2, 3, 4, 2, 2, 1, 2, 3, 0, 4, 3, 2, 2, 4, 3, 1, 2, 0, 2, 2, 4, 0, 4, 3, 3, 4, 0, 2, 3, 1, 2, 1, 2, 3, 3, 1, 4, 3, 2, 2, 0, 1, 3, 0, 0, 0, 4, 0, 4, 0, 3, 2, 4, 3, 4, 0, 0, 2, 0, 4, 1, 4, 1, 2, 4, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 4, 3, 2, 1, 1, 2, 2, 4, 0, 0, 1, 4, 3, 0, 1, 1, 4, 1, 0, 0, 3, 3, 3, 0, 4, 3, 2, 2, 0, 3, 3, 3, 3, 4, 1, 4, 3, 2, 2, 1, 1, 3, 0, 0, 1, 3, 4, 4, 2, 3, 2, 4, 2, 4, 3, 0, 2, 4, 3, 4, 0, 3, 4, 0, 0, 4, 3, 4, 0, 0, 0, 1, 3, 3, 0, 0, 1, 3, 4, 2, 0, 1, 3, 0, 2, 3, 0, 4, 4, 3, 4, 4, 3, 3, 1, 0, 4, 2, 4, 1, 1, 0, 4, 2, 2, 4, 2, 1, 3, 3, 3, 2, 1, 4, 3, 4, 0, 2, 4, 1, 4, 2, 2, 1, 2, 2, 0, 3, 2, 2, 4, 3, 2, 4, 0, 3, 0, 2, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 0, 3, 3, 1, 3, 0, 0, 4, 1, 2, 1, 0, 3, 4, 2, 1, 1, 1, 2, 0, 1, 3, 1, 4, 3, 4, 1, 4, 3, 3, 2, 4, 3, 1, 3, 3, 4, 0, 4, 3, 2, 3, 4, 4, 2, 1, 2, 3, 4, 2, 1, 1, 1, 0, 2, 0, 4, 0, 4, 2, 1, 0, 3, 0, 2, 4, 0, 0, 4, 1, 2, 3, 0, 2, 3, 2]
pubkeycol1036 = [1, 1, 3, 3, 2, 1, 4, 0, 2, 2, 0, 4, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 3, 3, 0, 2, 3, 2, 2, 0, 3, 3, 4, 3, 0, 3, 2, 4, 0, 0, 1, 4, 4, 4, 0, 4, 1, 4, 1, 2, 3, 4, 3, 4, 1, 0, 3, 1, 0, 4, 2, 0, 3, 4, 4, 1, 0, 3, 0, 3, 3, 0, 0, 1, 3, 1, 0, 0, 4, 0, 3, 1, 0, 0, 0, 4, 2, 2, 3, 4, 1, 4, 2, 3, 1, 0, 2, 4, 3, 1, 4, 1, 1, 0, 3, 0, 3, 4, 1, 3, 4, 0, 4, 1, 1, 1, 2, 2, 3, 4, 3, 4, 2, 1, 0, 2, 3, 0, 3, 1, 4, 2, 4, 0, 3, 2, 4, 1, 1, 3, 4, 3, 0, 1, 2, 2, 0, 3, 0, 0, 0, 1, 2, 1, 4, 1, 0, 1, 4, 0, 3, 4, 0, 3, 2, 1, 2, 1, 0, 2, 1, 2, 4, 2, 0, 4, 2, 0, 4, 3, 3, 4, 1, 2, 3, 2, 3, 1, 0, 3, 4, 0, 2, 1, 1, 4, 2, 1, 0, 3, 4, 3, 2, 1, 3, 4, 0, 0, 3, 4, 2, 0, 4, 1, 1, 2, 1, 3, 4, 4, 2, 0, 1, 4, 0, 3, 0, 4, 4, 1, 1, 4, 3, 0, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 1, 3, 2, 1, 3, 0, 1, 0, 3, 2, 3, 3, 0, 1, 1, 0, 4, 1, 1, 0, 3, 1, 1, 4, 4, 2, 1, 4, 1, 3, 2, 2, 0, 2, 1, 0, 3, 2, 1, 2, 0, 0, 4, 0, 0, 0, 0, 3, 4, 4, 3, 1, 2, 3, 4, 1, 1, 0, 2, 3, 1, 4, 4, 0, 2, 4, 4, 4, 2, 3, 4, 1, 3, 2, 1, 0, 1, 1, 3, 3, 2, 0, 1, 0, 1, 2, 3, 2, 4, 0, 0, 4, 0, 1, 2, 2, 2, 1, 4, 3, 0, 2, 2, 0, 4, 3, 3, 3, 0, 3, 4, 4, 3, 1, 0, 4, 2, 0, 3, 0, 0, 2, 3, 1, 3, 2, 2, 3, 3, 0, 1, 4, 2, 1, 3, 0, 2, 2, 1, 2, 2, 1, 2, 3, 4, 3, 3, 2, 3, 1, 4, 2, 2, 2]
pubkeycol1037 = [3, 1, 0, 1, 1, 2, 0, 3, 4, 0, 2, 1, 2, 2, 1, 1, 3, 2, 0, 2, 3, 1, 0, 4, 2, 0, 4, 0, 1, 3, 1, 0, 2, 4, 0, 1, 0, 1, 3, 3, 1, 2, 3, 0, 0, 3, 4, 4, 0, 3, 4, 2, 2, 1, 3, 4, 0, 3, 0, 4, 2, 0, 3, 0, 2, 1, 3, 2, 2, 3, 0, 2, 1, 2, 0, 2, 0, 4, 0, 4, 1, 3, 3, 1, 1, 2, 0, 1, 3, 4, 0, 2, 4, 1, 1, 0, 3, 0, 3, 4, 4, 0, 4, 0, 1, 3, 4, 1, 0, 4, 4, 2, 1, 2, 4, 4, 3, 0, 0, 0, 0, 2, 3, 1, 0, 0, 1, 2, 2, 3, 4, 2, 0, 1, 3, 4, 4, 4, 1, 2, 0, 3, 2, 4, 4, 0, 4, 4, 1, 1, 1, 2, 3, 3, 0, 3, 3, 3, 4, 1, 0, 2, 3, 4, 1, 4, 4, 2, 0, 2, 2, 1, 0, 2, 3, 4, 1, 2, 1, 2, 2, 0, 3, 2, 0, 3, 4, 3, 3, 0, 0, 4, 3, 2, 0, 3, 0, 3, 3, 0, 1, 1, 0, 1, 1, 1, 3, 1, 3, 0, 3, 2, 3, 4, 2, 4, 3, 0, 1, 0, 1, 1, 1, 4, 1, 3, 2, 1, 3, 4, 4, 3, 2, 1, 0, 0, 0, 4, 1, 1, 1, 2, 0, 0, 1, 4, 0, 4, 1, 1, 0, 3, 0, 2, 4, 4, 4, 2, 3, 3, 1, 3, 3, 1, 2, 4, 0, 4, 3, 1, 2, 2, 1, 3, 3, 0, 3, 0, 3, 3, 2, 0, 3, 0, 3, 1, 4, 0, 4, 3, 3, 0, 1, 3, 4, 4, 0, 3, 4, 4, 3, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 2, 4, 2, 1, 2, 0, 1, 0, 4, 3, 0, 4, 4, 3, 0, 4, 0, 1, 2, 2, 3, 3, 0, 1, 2, 2, 4, 3, 0, 4, 0, 2, 2, 3, 0, 2, 2, 3, 3, 0, 1, 0, 0, 2, 0, 3, 4, 1, 0, 2, 3, 2, 0, 4, 3, 3, 3, 0, 1, 2, 3, 4, 1, 4, 1, 3, 4, 4, 4, 1, 0, 4, 2, 0, 0, 0, 1, 1, 4, 0, 4, 0, 3, 1, 1, 3, 4, 3]
pubkeycol1038 = [2, 3, 4, 1, 3, 2, 1, 3, 2, 1, 0, 2, 3, 0, 1, 4, 0, 3, 0, 3, 3, 0, 0, 3, 1, 1, 0, 0, 2, 1, 0, 0, 3, 1, 0, 1, 2, 2, 1, 1, 3, 2, 0, 4, 1, 1, 3, 1, 3, 1, 0, 0, 0, 3, 2, 2, 3, 4, 3, 1, 1, 2, 2, 1, 4, 0, 4, 2, 1, 1, 0, 4, 3, 3, 4, 1, 4, 3, 1, 3, 1, 4, 4, 0, 2, 3, 1, 1, 4, 1, 2, 0, 3, 4, 0, 4, 4, 0, 4, 2, 2, 4, 4, 2, 4, 3, 0, 0, 2, 3, 4, 1, 0, 3, 1, 0, 3, 4, 4, 0, 4, 1, 2, 3, 0, 4, 2, 1, 4, 2, 2, 2, 1, 1, 2, 1, 2, 3, 0, 2, 2, 2, 1, 0, 3, 3, 2, 1, 2, 2, 3, 0, 4, 0, 4, 3, 4, 3, 4, 2, 0, 3, 1, 0, 1, 0, 4, 4, 2, 4, 1, 0, 2, 4, 4, 1, 4, 0, 2, 0, 0, 0, 1, 3, 0, 0, 4, 3, 4, 3, 1, 1, 4, 2, 3, 4, 0, 2, 1, 1, 2, 4, 0, 1, 4, 4, 4, 0, 1, 1, 2, 0, 4, 4, 0, 1, 1, 0, 2, 0, 3, 3, 2, 1, 2, 3, 2, 0, 3, 3, 3, 3, 3, 0, 4, 0, 2, 4, 3, 3, 3, 4, 0, 4, 3, 0, 4, 4, 2, 0, 2, 4, 3, 3, 3, 4, 1, 3, 0, 2, 1, 0, 3, 2, 0, 4, 3, 0, 2, 2, 3, 0, 2, 1, 2, 1, 4, 3, 2, 3, 4, 4, 1, 1, 1, 1, 0, 4, 2, 4, 4, 4, 0, 0, 4, 0, 3, 0, 3, 4, 0, 0, 0, 0, 2, 3, 2, 4, 2, 4, 3, 3, 4, 0, 0, 1, 1, 1, 0, 4, 1, 0, 1, 3, 0, 2, 1, 0, 3, 2, 2, 4, 2, 2, 1, 4, 4, 1, 3, 2, 4, 1, 1, 4, 1, 4, 2, 3, 2, 1, 2, 4, 1, 4, 4, 1, 3, 0, 4, 0, 1, 2, 3, 3, 1, 2, 1, 1, 0, 3, 2, 1, 0, 4, 0, 0, 0, 3, 1, 1, 1, 1, 0, 1, 4, 3, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2]
pubkeycol1039 = [4, 0, 1, 1, 1, 1, 0, 0, 4, 0, 2, 4, 3, 2, 4, 4, 0, 2, 1, 3, 2, 0, 0, 2, 2, 4, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 4, 2, 0, 2, 0, 0, 3, 1, 2, 0, 2, 0, 3, 3, 2, 3, 2, 4, 4, 2, 2, 0, 0, 1, 0, 3, 3, 3, 0, 2, 3, 2, 4, 4, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 0, 1, 3, 3, 0, 2, 3, 3, 4, 2, 3, 3, 2, 3, 3, 1, 0, 2, 4, 1, 0, 3, 4, 1, 4, 0, 2, 2, 1, 1, 4, 3, 1, 0, 1, 1, 0, 4, 0, 1, 1, 4, 4, 0, 4, 2, 0, 2, 4, 3, 3, 4, 1, 1, 2, 3, 0, 1, 3, 1, 0, 3, 0, 2, 1, 2, 1, 2, 4, 2, 3, 4, 4, 0, 0, 3, 1, 1, 0, 4, 3, 3, 3, 1, 3, 0, 2, 2, 2, 1, 1, 3, 2, 4, 2, 0, 1, 2, 2, 0, 3, 2, 1, 0, 4, 4, 4, 4, 2, 3, 1, 0, 0, 1, 2, 4, 0, 4, 0, 3, 0, 3, 4, 4, 4, 4, 1, 3, 0, 1, 1, 3, 2, 4, 1, 0, 3, 0, 1, 4, 1, 0, 4, 3, 1, 3, 3, 0, 4, 1, 4, 4, 0, 4, 4, 3, 1, 1, 1, 1, 3, 2, 0, 2, 2, 4, 1, 1, 1, 1, 2, 4, 4, 3, 1, 0, 3, 4, 4, 1, 1, 4, 2, 1, 2, 2, 0, 0, 2, 3, 0, 4, 1, 4, 0, 2, 0, 4, 2, 1, 4, 1, 4, 1, 0, 1, 0, 2, 1, 4, 4, 0, 1, 1, 2, 1, 3, 1, 2, 3, 0, 2, 4, 2, 0, 4, 3, 0, 0, 1, 1, 4, 3, 1, 0, 0, 0, 0, 0, 3, 1, 0, 0, 4, 1, 1, 2, 1, 0, 2, 0, 3, 4, 0, 4, 0, 4, 2, 3, 1, 3, 1, 0, 0, 1, 1, 0, 0, 4, 1, 1, 4, 0, 0, 1, 1, 4, 4, 0, 2, 3, 0, 1, 0, 1, 2, 3, 4, 1, 2, 4, 3, 0, 4, 0, 3, 4, 2, 1, 3, 3, 3, 0, 3, 0, 3, 1, 3, 3, 0, 3, 0, 1, 4, 1, 4, 4, 1, 3, 2]
pubkeycol1040 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 4, 0, 2, 1, 1, 3, 3, 2, 3, 4, 4, 4, 3, 1, 1, 2, 1, 1, 2, 2, 1, 0, 3, 1, 2, 3, 3, 1, 0, 2, 2, 0, 3, 0, 1, 3, 0, 3, 1, 0, 3, 2, 4, 1, 0, 3, 3, 4, 3, 1, 2, 4, 2, 1, 3, 4, 1, 2, 0, 0, 1, 4, 4, 0, 4, 4, 0, 0, 2, 4, 3, 3, 4, 0, 4, 0, 3, 4, 4, 0, 0, 0, 2, 2, 1, 4, 2, 0, 1, 3, 1, 1, 4, 2, 1, 3, 1, 4, 1, 2, 3, 3, 1, 0, 0, 1, 4, 2, 2, 3, 0, 4, 1, 4, 4, 1, 1, 3, 0, 4, 3, 2, 1, 0, 3, 1, 3, 2, 2, 3, 3, 1, 4, 2, 2, 3, 2, 3, 1, 1, 0, 0, 1, 4, 4, 3, 3, 3, 0, 0, 2, 2, 3, 1, 2, 4, 1, 2, 3, 4, 1, 2, 2, 0, 0, 4, 3, 3, 1, 0, 2, 2, 0, 3, 0, 4, 3, 2, 2, 3, 0, 1, 2, 3, 2, 3, 2, 1, 3, 2, 2, 4, 1, 1, 3, 2, 2, 4, 1, 1, 0, 3, 2, 3, 1, 4, 4, 4, 2, 3, 4, 2, 2, 1, 1, 1, 3, 0, 3, 0, 1, 0, 3, 1, 2, 0, 1, 3, 1, 4, 4, 4, 2, 2, 0, 2, 3, 1, 0, 0, 3, 2, 0, 4, 0, 1, 3, 1, 4, 0, 2, 4, 1, 1, 2, 0, 0, 2, 2, 4, 2, 0, 2, 3, 2, 4, 4, 2, 3, 1, 1, 1, 0, 4, 4, 2, 2, 0, 0, 0, 1, 4, 0, 1, 3, 4, 3, 2, 4, 3, 4, 1, 2, 2, 4, 0, 0, 1, 4, 4, 3, 1, 1, 2, 1, 0, 1, 2, 3, 3, 0, 3, 0, 3, 4, 3, 4, 1, 3, 2, 0, 4, 1, 3, 0, 4, 2, 0, 4, 1, 0, 3, 3, 1, 3, 3, 4, 2, 1, 1, 3, 1, 2, 3, 4, 2, 1, 3, 3, 0, 3, 0, 0, 0, 1, 3, 0, 2, 2, 2, 0, 0, 0, 3, 1, 1, 4, 0, 2, 3, 3, 4, 0, 1, 0, 3, 1, 4, 3, 1, 3, 2, 0, 2, 0, 4, 1, 3, 0, 0, 4]
pubkeycol1041 = [4, 1, 3, 1, 2, 2, 2, 0, 4, 4, 1, 0, 1, 2, 1, 3, 2, 0, 3, 1, 2, 0, 3, 4, 2, 2, 3, 1, 0, 3, 3, 2, 0, 4, 4, 3, 4, 2, 4, 4, 3, 4, 1, 0, 0, 1, 2, 0, 2, 4, 2, 0, 0, 3, 2, 0, 2, 3, 0, 3, 4, 0, 2, 3, 3, 1, 4, 1, 1, 4, 1, 3, 4, 0, 2, 1, 3, 2, 3, 3, 0, 1, 1, 0, 4, 4, 3, 2, 3, 3, 2, 4, 4, 1, 4, 2, 0, 2, 4, 3, 0, 3, 3, 1, 3, 0, 0, 3, 4, 1, 2, 1, 0, 0, 3, 4, 0, 4, 4, 4, 1, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 2, 2, 0, 4, 1, 3, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 3, 2, 3, 0, 1, 4, 0, 0, 0, 3, 4, 2, 2, 1, 3, 2, 4, 1, 3, 4, 3, 0, 1, 1, 4, 4, 0, 2, 2, 4, 1, 4, 0, 2, 0, 2, 0, 0, 1, 3, 0, 4, 4, 4, 1, 0, 2, 2, 1, 4, 3, 0, 1, 1, 1, 0, 2, 3, 0, 2, 4, 4, 1, 4, 3, 3, 3, 2, 4, 0, 1, 0, 1, 2, 2, 1, 3, 2, 2, 2, 0, 2, 4, 1, 4, 2, 3, 2, 1, 4, 3, 2, 4, 4, 1, 4, 3, 3, 2, 0, 2, 4, 3, 0, 0, 3, 3, 2, 1, 2, 4, 3, 0, 2, 0, 0, 4, 4, 4, 2, 3, 3, 1, 4, 4, 4, 1, 1, 4, 0, 4, 4, 4, 2, 2, 3, 1, 4, 1, 2, 1, 1, 3, 4, 3, 0, 2, 3, 3, 0, 2, 3, 0, 4, 0, 1, 2, 1, 2, 0, 4, 1, 2, 4, 4, 0, 3, 1, 0, 0, 2, 0, 2, 4, 0, 0, 4, 3, 4, 1, 3, 3, 4, 3, 0, 3, 1, 3, 1, 2, 3, 3, 3, 1, 0, 0, 1, 1, 0, 0, 1, 2, 3, 4, 1, 3, 3, 3, 2, 3, 2, 4, 0, 3, 1, 1, 3, 0, 0, 3, 0, 0, 2, 4, 2, 4, 3, 2, 2, 1, 2, 4, 4, 3, 3, 1, 4, 2, 2, 3, 3, 0, 2, 2, 1, 2, 1, 1, 2, 4, 1, 3, 3]
pubkeycol1042 = [0, 1, 2, 1, 2, 3, 2, 0, 1, 2, 4, 2, 1, 2, 2, 3, 1, 3, 2, 0, 1, 3, 1, 3, 1, 1, 3, 2, 1, 4, 1, 0, 1, 1, 4, 0, 1, 4, 4, 3, 1, 0, 3, 2, 3, 0, 0, 1, 4, 0, 0, 4, 4, 4, 2, 4, 2, 4, 0, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 1, 0, 1, 4, 1, 0, 1, 0, 1, 1, 4, 0, 3, 0, 3, 2, 4, 2, 1, 3, 4, 3, 1, 2, 2, 1, 1, 1, 2, 2, 4, 1, 1, 0, 1, 0, 0, 1, 4, 3, 4, 1, 2, 1, 2, 3, 2, 2, 2, 4, 3, 2, 3, 4, 0, 3, 3, 2, 1, 1, 2, 0, 4, 4, 1, 2, 2, 2, 2, 3, 4, 3, 2, 3, 0, 2, 0, 0, 2, 2, 4, 2, 1, 0, 3, 1, 0, 0, 1, 2, 3, 2, 3, 2, 1, 0, 4, 2, 0, 2, 2, 1, 0, 2, 1, 4, 4, 0, 3, 2, 1, 2, 3, 0, 4, 1, 2, 1, 2, 4, 0, 4, 3, 0, 3, 3, 3, 4, 0, 0, 4, 0, 4, 3, 4, 3, 0, 1, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 4, 2, 0, 3, 3, 4, 3, 2, 4, 0, 4, 1, 2, 3, 1, 1, 1, 1, 2, 1, 4, 1, 4, 0, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 3, 4, 4, 3, 4, 4, 3, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 3, 2, 3, 2, 0, 2, 4, 4, 1, 0, 0, 4, 3, 3, 4, 2, 0, 4, 0, 2, 3, 2, 0, 1, 4, 4, 1, 1, 1, 4, 4, 2, 1, 2, 0, 0, 1, 1, 3, 0, 2, 3, 3, 2, 1, 3, 0, 2, 0, 1, 3, 0, 2, 1, 2, 4, 1, 3, 0, 1, 1, 3, 1, 3, 2, 1, 4, 3, 4, 3, 0, 0, 2, 4, 0, 0, 2, 4, 2, 0, 0, 4, 2, 2, 0, 4, 0, 0, 3, 0, 2, 3, 3, 4, 2, 0, 1, 4, 0, 1, 2, 1, 4, 0, 4, 3, 3, 3, 1, 0, 4, 0, 0, 4, 0, 1, 4, 3, 1, 2, 4, 4, 0, 0, 2, 3, 3, 2, 3, 2, 3]
pubkeycol1043 = [2, 0, 0, 2, 2, 1, 2, 2, 1, 4, 0, 4, 1, 2, 1, 3, 4, 3, 4, 4, 0, 4, 0, 2, 2, 1, 4, 3, 1, 3, 1, 4, 0, 2, 2, 4, 4, 2, 0, 2, 0, 2, 1, 3, 0, 0, 4, 1, 2, 3, 0, 4, 3, 3, 3, 0, 2, 0, 0, 0, 0, 1, 0, 1, 3, 3, 2, 2, 4, 2, 3, 3, 2, 1, 1, 0, 3, 2, 2, 2, 3, 2, 2, 4, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 3, 0, 0, 1, 4, 2, 2, 0, 3, 2, 2, 4, 2, 3, 3, 1, 1, 4, 0, 4, 4, 0, 1, 3, 2, 1, 3, 1, 3, 3, 2, 1, 4, 1, 4, 0, 2, 1, 3, 1, 3, 3, 3, 3, 3, 3, 4, 1, 1, 2, 4, 1, 3, 1, 0, 0, 0, 4, 2, 2, 2, 0, 3, 2, 2, 3, 3, 2, 0, 1, 2, 1, 3, 1, 2, 2, 0, 3, 4, 3, 4, 2, 0, 0, 0, 2, 4, 1, 4, 1, 2, 1, 0, 2, 4, 2, 4, 0, 1, 1, 3, 0, 2, 2, 3, 0, 4, 0, 2, 3, 3, 2, 4, 1, 1, 2, 4, 3, 3, 2, 0, 2, 2, 0, 4, 1, 2, 4, 4, 1, 2, 0, 1, 1, 1, 2, 3, 1, 4, 2, 0, 3, 4, 3, 0, 0, 4, 3, 1, 0, 3, 4, 1, 4, 2, 3, 4, 2, 0, 2, 2, 2, 0, 0, 3, 0, 0, 0, 4, 2, 2, 4, 3, 3, 2, 2, 4, 1, 4, 3, 2, 1, 4, 3, 4, 2, 0, 3, 1, 3, 0, 0, 3, 1, 2, 4, 0, 1, 0, 1, 4, 0, 1, 0, 3, 1, 4, 2, 4, 1, 4, 1, 0, 4, 1, 3, 0, 3, 1, 1, 2, 2, 2, 4, 4, 1, 1, 4, 3, 4, 3, 2, 4, 1, 4, 2, 2, 1, 3, 4, 1, 0, 3, 1, 2, 2, 3, 4, 0, 0, 0, 1, 4, 3, 1, 3, 3, 3, 0, 3, 4, 4, 2, 2, 1, 2, 2, 4, 3, 3, 2, 3, 2, 3, 2, 0, 3, 3, 3, 1, 4, 0, 4, 3, 0, 0, 2, 1, 0, 4, 4, 4, 3, 2, 0, 2, 4, 0, 4, 0, 1, 1]
pubkeycol1044 = [1, 0, 2, 1, 4, 2, 4, 1, 2, 1, 2, 3, 1, 1, 0, 4, 0, 0, 1, 2, 0, 3, 1, 4, 2, 4, 0, 2, 2, 2, 3, 1, 4, 4, 3, 0, 3, 2, 3, 0, 2, 1, 4, 4, 3, 3, 0, 0, 3, 0, 2, 2, 3, 1, 1, 3, 4, 3, 0, 2, 0, 2, 3, 3, 1, 1, 3, 0, 4, 3, 2, 1, 3, 3, 0, 1, 4, 0, 3, 4, 2, 1, 3, 1, 3, 2, 0, 0, 0, 0, 4, 4, 3, 3, 3, 1, 2, 3, 4, 3, 4, 1, 4, 1, 4, 4, 1, 3, 1, 2, 4, 1, 3, 0, 2, 2, 2, 4, 2, 4, 2, 4, 2, 2, 3, 2, 2, 0, 3, 0, 4, 3, 2, 4, 2, 1, 4, 1, 3, 0, 2, 2, 3, 0, 0, 0, 1, 1, 0, 1, 4, 2, 4, 3, 1, 1, 3, 0, 0, 1, 0, 1, 1, 3, 4, 2, 1, 2, 2, 3, 2, 1, 4, 2, 0, 2, 1, 3, 4, 3, 3, 4, 1, 3, 3, 2, 1, 1, 1, 0, 3, 4, 2, 2, 2, 4, 4, 1, 3, 4, 1, 4, 2, 0, 1, 4, 2, 2, 3, 0, 1, 3, 3, 0, 1, 4, 2, 3, 3, 2, 4, 0, 3, 2, 3, 3, 2, 0, 1, 2, 4, 1, 3, 0, 3, 2, 2, 3, 4, 4, 3, 3, 1, 3, 1, 0, 1, 1, 4, 2, 2, 4, 2, 0, 4, 2, 2, 1, 1, 0, 1, 1, 2, 0, 3, 2, 0, 1, 4, 2, 4, 1, 0, 0, 0, 0, 0, 1, 0, 4, 3, 4, 3, 1, 4, 3, 1, 2, 4, 0, 3, 4, 0, 1, 1, 4, 3, 4, 4, 3, 0, 4, 0, 2, 1, 2, 1, 1, 4, 3, 0, 1, 3, 1, 1, 1, 0, 2, 1, 1, 3, 1, 2, 2, 1, 2, 1, 3, 3, 2, 2, 0, 4, 0, 1, 4, 2, 1, 1, 0, 3, 2, 4, 3, 3, 2, 3, 1, 0, 2, 2, 4, 1, 0, 3, 2, 4, 1, 3, 4, 0, 0, 1, 0, 3, 1, 1, 1, 2, 2, 3, 1, 0, 3, 1, 3, 0, 3, 0, 0, 1, 2, 2, 0, 1, 1, 4, 2, 4, 2, 4, 4, 4, 2, 1, 1, 4, 2, 2, 2]
pubkeycol1045 = [2, 3, 0, 4, 3, 1, 3, 3, 0, 1, 3, 2, 1, 4, 3, 2, 4, 4, 3, 4, 4, 1, 2, 2, 1, 3, 4, 3, 3, 4, 3, 2, 4, 1, 0, 2, 2, 4, 2, 2, 3, 0, 2, 1, 4, 3, 1, 3, 3, 3, 3, 4, 2, 1, 4, 0, 1, 1, 0, 2, 0, 4, 1, 1, 3, 3, 3, 2, 1, 3, 2, 4, 3, 1, 2, 3, 4, 2, 0, 2, 1, 1, 3, 3, 3, 4, 4, 4, 0, 3, 3, 2, 2, 2, 1, 4, 3, 0, 3, 3, 4, 0, 0, 4, 4, 0, 2, 3, 4, 3, 3, 1, 3, 4, 0, 3, 4, 0, 3, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 1, 4, 3, 0, 4, 1, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 2, 4, 3, 4, 2, 4, 3, 3, 2, 4, 2, 3, 4, 2, 3, 0, 3, 1, 3, 4, 3, 4, 2, 1, 3, 1, 4, 0, 4, 3, 0, 0, 4, 3, 4, 1, 0, 3, 4, 0, 2, 2, 1, 2, 0, 1, 4, 1, 3, 3, 3, 2, 4, 4, 0, 0, 0, 0, 3, 1, 0, 4, 0, 4, 0, 4, 3, 1, 0, 2, 4, 0, 0, 0, 1, 1, 2, 4, 0, 3, 1, 3, 0, 4, 0, 3, 1, 3, 3, 3, 1, 3, 0, 3, 4, 3, 1, 2, 3, 3, 0, 3, 3, 1, 1, 4, 4, 2, 1, 1, 3, 2, 0, 0, 2, 0, 4, 1, 4, 1, 1, 2, 0, 3, 2, 4, 2, 0, 4, 0, 1, 4, 1, 1, 0, 4, 1, 1, 3, 4, 1, 3, 1, 1, 1, 0, 3, 2, 1, 0, 3, 3, 3, 1, 1, 4, 1, 1, 3, 1, 1, 2, 1, 0, 4, 0, 0, 0, 0, 0, 4, 2, 1, 4, 4, 4, 0, 3, 0, 1, 1, 4, 4, 2, 1, 3, 4, 3, 2, 2, 0, 2, 3, 4, 2, 2, 2, 0, 1, 3, 2, 2, 2, 1, 1, 0, 0, 4, 2, 4, 0, 3, 2, 2, 0, 3, 4, 2, 0, 4, 3, 2, 1, 3, 1, 0, 4, 3, 2, 2, 1, 0, 2, 0, 0, 3, 1, 4, 3, 0, 1, 3, 4, 2, 3, 1, 4, 0, 0, 0]
pubkeycol1046 = [0, 2, 1, 2, 3, 4, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 3, 0, 0, 3, 4, 4, 2, 2, 1, 0, 0, 3, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 3, 1, 0, 3, 4, 1, 4, 4, 3, 1, 1, 2, 1, 1, 0, 4, 2, 0, 3, 1, 1, 3, 4, 4, 0, 3, 0, 2, 1, 1, 2, 1, 0, 3, 4, 4, 4, 4, 3, 2, 2, 4, 4, 4, 3, 3, 3, 2, 3, 4, 2, 4, 4, 1, 0, 1, 4, 1, 1, 3, 2, 1, 0, 0, 1, 2, 4, 4, 3, 4, 3, 3, 4, 2, 2, 2, 3, 1, 2, 0, 1, 4, 2, 2, 3, 4, 4, 4, 1, 1, 2, 2, 2, 2, 1, 4, 1, 2, 4, 3, 0, 1, 3, 4, 3, 0, 2, 1, 3, 0, 1, 0, 1, 0, 0, 0, 3, 1, 2, 4, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 4, 2, 3, 2, 0, 0, 1, 1, 3, 0, 0, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 4, 1, 3, 4, 4, 0, 1, 4, 3, 3, 1, 2, 3, 0, 3, 1, 2, 0, 3, 4, 2, 1, 3, 4, 4, 2, 3, 4, 3, 4, 4, 0, 4, 4, 1, 4, 3, 2, 0, 3, 1, 1, 4, 1, 3, 2, 2, 1, 4, 1, 4, 3, 4, 1, 4, 1, 2, 2, 2, 3, 4, 4, 3, 0, 1, 3, 1, 1, 3, 1, 3, 4, 0, 1, 2, 1, 3, 1, 1, 0, 4, 2, 4, 1, 2, 3, 2, 0, 3, 2, 0, 0, 0, 2, 3, 3, 0, 2, 2, 0, 0, 1, 3, 2, 2, 2, 3, 0, 1, 2, 4, 0, 2, 2, 3, 3, 0, 0, 3, 4, 1, 3, 2, 1, 3, 0, 4, 2, 4, 2, 3, 1, 1, 0, 2, 4, 0, 3, 2, 2, 2, 0, 4, 0, 2, 2, 1, 4, 1, 3, 1, 3, 1, 2, 2, 3, 4, 0, 2, 2, 3, 4, 4, 1, 4, 4, 2, 4, 1, 4, 2, 0, 0, 1, 4, 4, 4, 0, 0, 3, 3, 0, 3, 4, 3, 4, 3, 0, 3, 3, 3, 1, 0, 3, 0, 1, 0, 1, 2, 3, 1, 2, 4, 1]
pubkeycol1047 = [2, 1, 3, 0, 3, 4, 1, 2, 4, 3, 4, 3, 3, 1, 2, 0, 1, 4, 1, 3, 3, 4, 2, 2, 0, 1, 1, 2, 1, 0, 0, 4, 0, 2, 1, 0, 1, 3, 3, 3, 4, 3, 3, 3, 1, 4, 2, 1, 3, 3, 0, 3, 4, 4, 0, 0, 4, 4, 3, 2, 1, 4, 2, 1, 4, 3, 2, 2, 4, 0, 3, 4, 0, 3, 0, 1, 4, 4, 2, 2, 0, 2, 0, 1, 4, 4, 1, 1, 4, 1, 1, 0, 1, 0, 0, 2, 4, 3, 2, 1, 1, 1, 4, 2, 4, 3, 0, 4, 4, 0, 3, 2, 4, 0, 2, 3, 1, 1, 3, 4, 0, 3, 4, 4, 1, 2, 4, 4, 2, 1, 0, 3, 1, 2, 0, 4, 3, 4, 0, 2, 3, 1, 3, 3, 0, 4, 4, 1, 0, 3, 1, 1, 0, 0, 2, 2, 1, 0, 4, 3, 3, 4, 2, 3, 1, 2, 3, 0, 2, 4, 1, 2, 0, 0, 0, 2, 3, 1, 4, 4, 1, 2, 0, 4, 3, 2, 3, 1, 3, 4, 2, 3, 4, 3, 0, 0, 4, 3, 1, 1, 3, 1, 1, 4, 3, 4, 4, 1, 1, 4, 1, 2, 1, 2, 0, 2, 2, 4, 3, 1, 2, 4, 1, 0, 1, 4, 3, 4, 4, 2, 0, 2, 0, 3, 2, 4, 1, 2, 0, 4, 4, 0, 1, 2, 1, 2, 3, 1, 4, 1, 3, 3, 4, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 3, 0, 4, 3, 1, 4, 4, 0, 4, 0, 0, 1, 4, 0, 1, 1, 0, 1, 4, 1, 4, 4, 1, 0, 1, 1, 1, 3, 2, 1, 2, 0, 0, 1, 0, 3, 1, 4, 4, 2, 4, 3, 1, 4, 2, 4, 1, 1, 1, 4, 0, 4, 3, 3, 4, 4, 2, 1, 2, 2, 3, 2, 3, 3, 2, 1, 0, 1, 4, 4, 2, 2, 3, 1, 2, 2, 2, 4, 1, 1, 2, 0, 4, 0, 1, 4, 3, 2, 1, 1, 3, 0, 0, 3, 4, 3, 0, 0, 4, 2, 3, 1, 1, 2, 3, 0, 1, 2, 3, 2, 0, 0, 0, 0, 4, 1, 3, 1, 0, 1, 3, 2, 4, 1, 2, 4, 3, 4, 2, 1, 3, 0, 4, 0, 3, 0, 1]
pubkeycol1048 = [3, 1, 3, 4, 4, 0, 4, 4, 1, 2, 2, 4, 1, 1, 0, 1, 3, 1, 4, 4, 3, 0, 3, 4, 2, 0, 1, 3, 4, 1, 4, 1, 3, 0, 3, 0, 3, 4, 4, 0, 4, 2, 0, 4, 0, 3, 1, 2, 3, 2, 4, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 4, 3, 1, 0, 4, 2, 2, 4, 4, 0, 1, 3, 3, 2, 0, 2, 3, 4, 0, 2, 0, 3, 4, 4, 2, 0, 3, 4, 4, 3, 2, 0, 3, 0, 2, 0, 1, 0, 4, 2, 4, 0, 3, 4, 0, 2, 1, 3, 0, 4, 3, 4, 4, 0, 3, 4, 4, 0, 2, 0, 3, 4, 2, 4, 4, 1, 2, 0, 2, 2, 1, 0, 3, 0, 2, 0, 1, 2, 4, 4, 0, 3, 1, 2, 1, 0, 3, 4, 4, 1, 0, 1, 0, 4, 1, 4, 4, 1, 1, 3, 3, 0, 0, 3, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 3, 0, 3, 1, 4, 4, 2, 1, 1, 3, 4, 2, 0, 2, 4, 1, 3, 2, 4, 2, 4, 1, 1, 3, 4, 4, 0, 4, 1, 4, 2, 2, 4, 3, 4, 2, 4, 2, 4, 4, 0, 2, 2, 4, 2, 0, 4, 2, 3, 2, 4, 3, 4, 2, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 4, 0, 0, 2, 3, 1, 4, 2, 3, 1, 1, 4, 1, 2, 1, 3, 3, 0, 1, 1, 4, 1, 0, 4, 4, 3, 0, 1, 3, 0, 3, 3, 2, 4, 4, 1, 3, 3, 3, 0, 0, 2, 4, 0, 0, 2, 1, 3, 0, 0, 0, 3, 4, 4, 0, 4, 1, 0, 1, 2, 2, 1, 3, 4, 3, 3, 2, 1, 4, 3, 4, 4, 3, 4, 3, 4, 1, 2, 2, 3, 1, 4, 2, 1, 3, 2, 3, 3, 2, 0, 1, 3, 3, 0, 2, 0, 0, 4, 0, 0, 4, 4, 4, 1, 2, 2, 4, 0, 2, 0, 4, 0, 0, 3, 1, 0, 0, 2, 4, 1, 3, 2, 3, 3, 0, 4, 3, 2, 4, 3, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 4, 1, 2, 3, 2, 0, 4, 4, 4, 1, 0, 2, 1, 4]
pubkeycol1049 = [3, 4, 4, 1, 0, 4, 2, 0, 0, 4, 2, 1, 4, 4, 0, 2, 3, 1, 3, 1, 3, 2, 0, 4, 0, 3, 4, 0, 4, 4, 2, 2, 3, 3, 3, 0, 0, 2, 1, 4, 3, 1, 2, 4, 4, 3, 1, 1, 1, 3, 1, 2, 3, 2, 3, 1, 3, 0, 2, 0, 1, 0, 0, 4, 2, 0, 3, 4, 4, 3, 4, 2, 4, 2, 3, 2, 1, 3, 1, 1, 1, 4, 1, 0, 3, 1, 0, 3, 4, 4, 0, 1, 2, 4, 0, 4, 1, 0, 0, 4, 0, 3, 2, 2, 0, 3, 3, 2, 0, 1, 4, 2, 4, 2, 3, 3, 1, 0, 4, 3, 0, 3, 2, 0, 3, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 4, 3, 4, 1, 4, 1, 2, 0, 0, 3, 4, 3, 4, 2, 2, 3, 2, 3, 0, 1, 1, 4, 0, 0, 1, 3, 0, 2, 0, 3, 0, 2, 3, 4, 3, 4, 1, 1, 0, 2, 4, 2, 2, 0, 2, 3, 3, 1, 4, 0, 2, 3, 3, 3, 1, 0, 4, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 3, 2, 2, 4, 4, 3, 1, 0, 4, 1, 4, 3, 3, 3, 2, 0, 2, 4, 1, 4, 0, 3, 2, 4, 0, 4, 2, 4, 2, 4, 0, 3, 4, 1, 2, 1, 4, 2, 4, 3, 2, 2, 4, 2, 3, 0, 0, 2, 3, 2, 2, 3, 1, 4, 0, 0, 1, 1, 4, 4, 2, 4, 4, 2, 3, 1, 0, 2, 2, 2, 3, 4, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 0, 0, 4, 0, 2, 4, 4, 3, 1, 3, 0, 2, 3, 0, 4, 2, 1, 1, 0, 3, 0, 0, 0, 2, 1, 1, 3, 1, 1, 0, 0, 1, 0, 3, 0, 1, 1, 3, 0, 2, 2, 0, 0, 4, 2, 4, 3, 4, 1, 2, 3, 2, 1, 3, 4, 3, 1, 3, 0, 2, 4, 1, 4, 4, 0, 3, 4, 1, 2, 3, 2, 2, 0, 2, 4, 2, 0, 1, 3, 3, 1, 1, 1, 4, 0, 3, 0, 0, 0, 1, 1, 4, 1, 0]
pubkeycol1050 = [3, 4, 4, 2, 4, 3, 4, 3, 4, 1, 2, 1, 1, 3, 3, 3, 3, 1, 4, 0, 2, 0, 1, 3, 0, 0, 0, 2, 0, 1, 1, 4, 0, 3, 3, 0, 0, 3, 2, 3, 2, 3, 3, 4, 0, 4, 4, 1, 3, 0, 3, 4, 4, 1, 2, 4, 0, 1, 4, 0, 3, 4, 2, 2, 4, 4, 3, 2, 2, 2, 1, 2, 0, 1, 1, 2, 4, 0, 3, 2, 1, 3, 0, 3, 4, 4, 0, 2, 1, 0, 3, 4, 3, 1, 1, 4, 4, 3, 4, 3, 3, 0, 4, 4, 4, 1, 0, 1, 4, 4, 4, 1, 1, 2, 2, 3, 4, 3, 4, 3, 0, 4, 1, 4, 1, 3, 4, 0, 3, 1, 0, 3, 2, 4, 3, 4, 0, 2, 0, 1, 3, 1, 4, 1, 0, 3, 2, 4, 4, 2, 4, 0, 4, 3, 0, 1, 3, 2, 4, 2, 0, 2, 2, 2, 4, 1, 1, 3, 3, 1, 0, 0, 4, 2, 1, 0, 2, 0, 0, 3, 0, 2, 1, 1, 1, 0, 3, 1, 4, 2, 1, 1, 4, 1, 1, 4, 1, 4, 2, 0, 3, 3, 4, 4, 4, 3, 2, 0, 3, 2, 2, 3, 3, 2, 1, 1, 3, 0, 2, 3, 1, 4, 0, 3, 1, 0, 0, 2, 0, 4, 0, 1, 2, 0, 3, 3, 3, 2, 2, 1, 4, 2, 1, 1, 4, 4, 2, 2, 1, 1, 0, 1, 3, 2, 1, 2, 3, 0, 0, 2, 2, 1, 4, 0, 2, 3, 0, 0, 4, 2, 3, 1, 4, 2, 2, 1, 4, 1, 2, 0, 0, 0, 0, 0, 2, 4, 0, 2, 2, 1, 0, 2, 4, 2, 3, 1, 1, 1, 3, 1, 4, 3, 2, 2, 2, 4, 3, 4, 0, 1, 0, 3, 4, 2, 4, 1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 0, 3, 0, 2, 2, 2, 4, 4, 3, 1, 4, 0, 0, 1, 1, 3, 3, 1, 3, 4, 3, 1, 2, 2, 2, 4, 2, 2, 3, 1, 2, 3, 4, 0, 0, 3, 2, 3, 2, 4, 1, 0, 0, 2, 4, 4, 3, 2, 0, 1, 3, 2, 0, 1, 3, 1, 2, 1, 0, 2, 1, 4, 4, 3, 3, 0, 2, 4, 2, 0, 2, 1, 2, 3, 1]
pubkeycol1051 = [3, 3, 3, 0, 4, 1, 2, 4, 2, 2, 1, 2, 2, 2, 2, 0, 1, 4, 3, 4, 0, 1, 1, 1, 3, 4, 1, 0, 3, 1, 1, 1, 0, 1, 4, 1, 0, 2, 0, 2, 1, 4, 1, 4, 1, 3, 2, 0, 1, 4, 0, 0, 3, 0, 2, 0, 3, 4, 1, 1, 0, 3, 3, 3, 3, 4, 4, 4, 2, 0, 4, 2, 2, 2, 2, 4, 2, 0, 2, 3, 1, 1, 2, 3, 0, 0, 4, 3, 0, 3, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 3, 3, 4, 2, 3, 4, 0, 1, 0, 0, 1, 0, 4, 0, 3, 3, 3, 0, 1, 0, 0, 3, 1, 4, 2, 0, 4, 3, 1, 1, 3, 4, 3, 1, 2, 3, 0, 1, 4, 3, 4, 2, 0, 1, 2, 2, 0, 2, 3, 0, 2, 1, 4, 0, 2, 4, 3, 3, 4, 0, 4, 4, 3, 2, 3, 0, 2, 1, 0, 4, 1, 4, 2, 3, 2, 1, 4, 1, 1, 4, 2, 3, 1, 2, 4, 2, 4, 2, 0, 1, 4, 2, 4, 3, 1, 2, 0, 1, 4, 0, 3, 2, 0, 2, 1, 1, 4, 1, 1, 4, 3, 4, 3, 1, 3, 2, 2, 4, 2, 0, 0, 0, 3, 4, 1, 3, 3, 4, 0, 3, 2, 2, 1, 4, 0, 4, 1, 2, 1, 1, 4, 0, 2, 3, 4, 0, 2, 1, 0, 3, 2, 3, 1, 2, 3, 0, 0, 2, 4, 0, 4, 1, 2, 4, 4, 0, 4, 4, 3, 4, 0, 0, 3, 0, 4, 3, 4, 1, 1, 3, 0, 4, 2, 0, 2, 2, 0, 3, 2, 3, 1, 2, 1, 0, 3, 1, 1, 4, 1, 1, 3, 4, 3, 3, 4, 2, 1, 1, 1, 3, 3, 2, 3, 3, 2, 1, 2, 1, 2, 4, 4, 2, 0, 3, 2, 0, 4, 4, 2, 0, 3, 4, 3, 1, 0, 2, 1, 4, 1, 4, 4, 2, 1, 0, 2, 1, 2, 4, 2, 1, 4, 4, 3, 1, 0, 0, 3, 2, 1, 1, 4, 4, 3, 2, 3, 3, 2, 4, 2, 4, 0, 0, 3, 2, 4, 0, 0, 2, 2, 2, 3, 0, 4, 1, 1, 0, 2, 4, 1, 0, 1, 3, 3, 0, 2, 3, 0, 0, 4, 1]
pubkeycol1052 = [3, 0, 4, 2, 2, 3, 2, 2, 1, 1, 3, 1, 3, 1, 4, 3, 3, 2, 3, 4, 1, 4, 0, 1, 1, 2, 3, 1, 1, 0, 1, 4, 3, 1, 3, 0, 4, 3, 1, 0, 1, 3, 3, 3, 0, 3, 2, 4, 2, 2, 1, 4, 4, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 3, 2, 3, 0, 3, 4, 4, 0, 3, 0, 2, 4, 1, 1, 3, 0, 2, 0, 2, 2, 0, 3, 1, 1, 3, 1, 0, 0, 3, 2, 1, 0, 4, 1, 3, 2, 2, 2, 3, 0, 1, 2, 1, 4, 0, 0, 0, 4, 2, 1, 0, 1, 4, 2, 1, 2, 1, 0, 4, 3, 4, 3, 4, 2, 0, 1, 3, 1, 1, 2, 0, 3, 2, 4, 0, 1, 4, 0, 4, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 4, 1, 2, 3, 0, 4, 2, 1, 1, 1, 0, 4, 0, 3, 1, 2, 1, 4, 3, 3, 1, 2, 0, 0, 3, 4, 1, 2, 1, 4, 4, 1, 3, 0, 2, 2, 3, 4, 4, 2, 4, 1, 0, 2, 1, 4, 4, 0, 0, 2, 3, 0, 1, 3, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 3, 0, 4, 4, 0, 3, 4, 0, 2, 1, 2, 4, 3, 3, 1, 1, 4, 4, 2, 4, 4, 1, 4, 3, 0, 1, 0, 0, 0, 2, 4, 1, 0, 1, 3, 0, 3, 1, 3, 0, 0, 1, 4, 1, 4, 1, 4, 2, 0, 4, 0, 3, 4, 1, 3, 1, 0, 2, 1, 2, 4, 2, 2, 0, 0, 3, 2, 3, 0, 3, 3, 1, 4, 4, 0, 0, 1, 2, 0, 0, 1, 4, 4, 3, 0, 2, 0, 2, 0, 2, 3, 1, 2, 3, 3, 0, 4, 3, 4, 1, 2, 4, 4, 1, 4, 3, 1, 3, 3, 3, 2, 4, 0, 0, 1, 0, 1, 3, 3, 1, 1, 3, 4, 2, 1, 3, 1, 4, 2, 4, 2, 1, 1, 3, 2, 1, 3, 2, 4, 4, 0, 1, 3, 2, 0, 0, 1, 0, 0, 1, 2, 4, 3, 4, 2, 4, 3, 3, 2, 4, 0, 1, 0, 1, 3, 2, 0, 3, 0, 2, 1, 1, 2, 3, 1, 3, 2, 3]
pubkeycol1053 = [1, 3, 4, 2, 1, 3, 2, 4, 3, 2, 1, 1, 0, 3, 2, 0, 4, 4, 1, 0, 4, 4, 4, 2, 4, 4, 3, 0, 1, 1, 0, 1, 2, 3, 4, 2, 2, 2, 3, 0, 1, 0, 4, 0, 3, 2, 1, 2, 0, 3, 0, 1, 4, 3, 3, 4, 2, 1, 3, 2, 0, 4, 1, 1, 2, 0, 3, 0, 1, 4, 2, 1, 0, 3, 2, 3, 3, 4, 0, 4, 2, 1, 1, 4, 4, 4, 2, 0, 1, 1, 0, 2, 3, 2, 2, 1, 1, 0, 4, 3, 1, 3, 0, 4, 1, 3, 1, 3, 2, 2, 1, 3, 4, 0, 0, 1, 1, 0, 4, 3, 1, 0, 4, 4, 0, 3, 4, 0, 0, 4, 2, 3, 3, 1, 2, 1, 0, 4, 0, 3, 1, 2, 3, 1, 3, 4, 1, 4, 0, 2, 2, 3, 3, 1, 0, 0, 3, 2, 1, 0, 0, 2, 4, 1, 3, 4, 3, 0, 0, 3, 0, 4, 0, 4, 0, 3, 3, 1, 0, 4, 1, 2, 0, 1, 4, 2, 0, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 4, 4, 4, 2, 4, 3, 4, 2, 1, 2, 0, 3, 3, 4, 0, 3, 2, 0, 3, 0, 4, 0, 0, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 4, 3, 0, 3, 4, 1, 4, 3, 0, 4, 3, 0, 3, 3, 2, 4, 1, 2, 4, 3, 2, 1, 3, 1, 2, 0, 1, 0, 0, 0, 2, 2, 4, 4, 0, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 4, 3, 2, 3, 4, 0, 2, 4, 4, 4, 3, 4, 2, 1, 3, 1, 3, 4, 4, 1, 1, 0, 2, 0, 4, 1, 1, 3, 2, 2, 1, 2, 3, 0, 3, 2, 4, 3, 1, 3, 1, 2, 2, 2, 4, 1, 0, 3, 0, 0, 3, 2, 2, 1, 1, 4, 3, 4, 1, 3, 0, 2, 4, 2, 0, 1, 3, 4, 3, 2, 0, 2, 3, 3, 0, 2, 1, 3, 4, 1, 2, 4, 2, 3, 0, 3, 2, 4, 4, 1, 0, 2, 3, 0, 3, 3, 0, 1, 0, 0, 1, 3, 0, 3, 4, 4, 2, 4, 0, 4, 0, 3, 4, 4, 1, 0, 0, 1, 2, 0, 4, 0, 3, 4, 3]
pubkeycol1054 = [4, 3, 0, 3, 4, 2, 3, 2, 3, 0, 2, 0, 4, 3, 3, 2, 0, 2, 1, 4, 4, 3, 3, 3, 4, 3, 1, 3, 0, 1, 3, 0, 3, 0, 0, 2, 0, 0, 4, 4, 2, 3, 2, 0, 2, 3, 4, 4, 0, 1, 4, 2, 3, 4, 2, 3, 0, 0, 2, 3, 0, 0, 1, 2, 1, 1, 3, 1, 1, 0, 0, 3, 4, 1, 2, 4, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 3, 3, 0, 3, 3, 4, 2, 4, 4, 1, 2, 3, 2, 3, 0, 2, 0, 4, 1, 2, 3, 0, 3, 4, 1, 1, 2, 2, 0, 2, 1, 4, 1, 3, 0, 0, 4, 2, 3, 2, 2, 2, 0, 0, 1, 1, 3, 3, 2, 3, 2, 0, 3, 0, 2, 3, 1, 1, 0, 3, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 4, 1, 0, 0, 2, 1, 2, 0, 3, 0, 3, 4, 0, 0, 2, 0, 3, 3, 4, 1, 0, 4, 3, 0, 3, 1, 2, 0, 3, 2, 1, 4, 1, 2, 3, 3, 1, 3, 4, 3, 4, 4, 2, 2, 4, 0, 3, 2, 3, 3, 3, 2, 2, 1, 1, 0, 4, 2, 0, 1, 3, 2, 1, 4, 2, 3, 2, 2, 4, 0, 4, 2, 0, 2, 1, 4, 3, 4, 1, 4, 4, 4, 2, 3, 4, 4, 2, 1, 2, 4, 0, 4, 3, 4, 4, 0, 3, 3, 0, 4, 1, 1, 3, 1, 1, 3, 0, 2, 0, 0, 3, 2, 0, 3, 4, 0, 4, 3, 1, 1, 2, 4, 4, 2, 1, 3, 0, 2, 4, 3, 4, 2, 4, 1, 4, 2, 4, 4, 1, 0, 0, 2, 0, 0, 1, 1, 3, 2, 2, 1, 4, 1, 3, 2, 4, 2, 0, 1, 2, 3, 3, 3, 3, 1, 1, 4, 2, 1, 1, 0, 2, 4, 1, 4, 4, 0, 3, 4, 4, 4, 3, 0, 2, 2, 2, 3, 3, 3, 3, 3, 1, 4, 3, 2, 0, 2, 4, 4, 2, 4, 3, 3, 3, 2, 0, 2, 4, 3, 2, 1, 0, 0, 4, 0, 3, 0, 4, 3, 3, 4, 0, 3, 2, 1, 2, 0, 3, 0, 3, 0, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3]
pubkeycol1055 = [4, 0, 1, 2, 4, 0, 2, 3, 3, 1, 3, 0, 0, 1, 4, 2, 4, 2, 3, 2, 2, 1, 0, 0, 4, 2, 3, 2, 1, 1, 3, 4, 2, 0, 4, 1, 0, 0, 4, 0, 2, 3, 3, 2, 2, 1, 2, 3, 4, 1, 4, 1, 3, 0, 4, 0, 1, 3, 0, 2, 2, 4, 3, 0, 0, 4, 3, 3, 2, 1, 0, 0, 0, 2, 4, 3, 1, 1, 4, 3, 3, 2, 1, 1, 3, 4, 0, 3, 1, 4, 0, 3, 4, 1, 2, 4, 1, 1, 2, 1, 0, 2, 4, 1, 1, 4, 0, 3, 1, 0, 0, 2, 0, 2, 4, 4, 1, 2, 2, 2, 0, 2, 2, 2, 0, 3, 2, 4, 3, 3, 3, 0, 4, 4, 2, 4, 4, 4, 2, 1, 3, 3, 2, 4, 2, 4, 3, 1, 3, 1, 4, 0, 0, 1, 2, 2, 3, 0, 4, 1, 3, 0, 0, 4, 3, 4, 3, 1, 1, 3, 1, 3, 4, 3, 3, 1, 2, 2, 4, 3, 3, 3, 0, 0, 1, 2, 3, 2, 0, 4, 3, 4, 0, 4, 4, 0, 2, 3, 4, 3, 1, 4, 0, 1, 3, 1, 2, 2, 0, 3, 2, 2, 1, 0, 4, 1, 0, 2, 1, 0, 2, 3, 1, 4, 4, 3, 1, 4, 0, 3, 0, 1, 1, 3, 0, 0, 2, 2, 4, 3, 3, 4, 4, 0, 4, 2, 3, 1, 4, 2, 2, 0, 0, 1, 0, 0, 0, 3, 2, 0, 1, 4, 1, 4, 0, 4, 3, 2, 3, 3, 2, 3, 0, 2, 0, 1, 3, 4, 1, 4, 2, 2, 2, 2, 1, 0, 0, 1, 3, 1, 0, 1, 1, 0, 1, 1, 3, 1, 3, 2, 3, 2, 3, 4, 2, 4, 3, 1, 1, 3, 2, 3, 2, 0, 2, 4, 0, 3, 2, 3, 3, 4, 3, 4, 4, 2, 0, 3, 3, 0, 1, 0, 1, 1, 4, 3, 2, 0, 2, 1, 2, 2, 0, 1, 0, 4, 3, 2, 2, 4, 3, 0, 3, 3, 3, 1, 4, 1, 1, 0, 1, 0, 2, 4, 4, 1, 1, 2, 3, 3, 3, 3, 2, 4, 1, 1, 1, 3, 2, 0, 1, 3, 4, 4, 1, 0, 2, 2, 4, 4, 2, 1, 1, 2, 1, 0, 4, 3, 0, 4]
pubkeycol1056 = [2, 3, 2, 0, 3, 4, 2, 3, 3, 1, 1, 0, 1, 3, 2, 0, 0, 2, 1, 2, 2, 3, 3, 0, 0, 2, 3, 2, 4, 4, 0, 3, 3, 1, 2, 2, 3, 4, 0, 1, 3, 1, 2, 1, 2, 3, 0, 2, 2, 0, 1, 2, 2, 4, 4, 3, 4, 2, 4, 2, 1, 2, 0, 0, 2, 0, 1, 4, 1, 4, 2, 2, 3, 4, 3, 4, 0, 0, 3, 1, 4, 1, 2, 3, 4, 0, 0, 1, 3, 4, 0, 1, 4, 0, 2, 0, 1, 3, 1, 4, 1, 1, 2, 3, 2, 1, 3, 3, 4, 1, 3, 1, 1, 4, 2, 0, 4, 1, 2, 2, 4, 4, 3, 3, 1, 0, 3, 3, 3, 0, 3, 2, 0, 1, 0, 4, 2, 1, 1, 4, 0, 2, 4, 0, 4, 4, 4, 1, 0, 4, 0, 2, 0, 2, 4, 0, 4, 2, 0, 4, 1, 1, 3, 3, 4, 3, 3, 3, 0, 0, 1, 3, 4, 2, 4, 3, 0, 2, 4, 3, 3, 0, 1, 4, 3, 1, 1, 2, 1, 4, 1, 1, 4, 4, 2, 4, 4, 4, 4, 3, 3, 0, 2, 2, 2, 3, 1, 4, 3, 2, 0, 3, 3, 3, 0, 2, 0, 2, 1, 4, 0, 3, 3, 4, 1, 4, 2, 2, 1, 3, 0, 1, 1, 0, 2, 2, 4, 1, 4, 0, 1, 4, 0, 0, 2, 2, 1, 1, 2, 0, 2, 4, 4, 2, 4, 4, 0, 2, 4, 2, 1, 1, 1, 4, 0, 1, 2, 4, 1, 2, 3, 4, 3, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 1, 1, 2, 4, 2, 2, 1, 2, 4, 2, 1, 1, 0, 0, 0, 0, 0, 3, 4, 3, 3, 2, 4, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 3, 2, 4, 0, 2, 2, 3, 2, 0, 2, 0, 3, 4, 4, 3, 1, 0, 1, 3, 4, 3, 1, 2, 3, 3, 2, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 4, 1, 1, 2, 3, 1, 2, 2, 4, 0, 1, 0, 3, 2, 3, 1, 1, 2, 4, 2, 4, 0, 0, 2, 0, 2, 2, 2, 2, 4, 1, 0, 3, 4, 3, 4, 2, 1, 2, 0, 3, 4, 1, 3, 1, 0]
pubkeycol1057 = [4, 0, 2, 0, 2, 3, 1, 1, 2, 4, 2, 0, 1, 4, 4, 1, 4, 4, 1, 4, 3, 0, 3, 1, 1, 0, 3, 3, 3, 1, 2, 0, 4, 2, 3, 0, 4, 4, 4, 2, 4, 3, 1, 4, 3, 4, 4, 3, 4, 0, 1, 1, 3, 3, 1, 1, 0, 4, 4, 3, 0, 1, 4, 4, 4, 0, 4, 2, 1, 1, 0, 3, 3, 1, 4, 0, 2, 1, 4, 4, 0, 3, 4, 3, 2, 4, 2, 3, 4, 4, 0, 4, 1, 2, 4, 3, 1, 2, 2, 4, 2, 3, 2, 0, 3, 3, 2, 0, 1, 0, 1, 4, 4, 1, 0, 4, 2, 4, 1, 0, 0, 2, 3, 1, 4, 3, 2, 3, 0, 4, 4, 4, 0, 0, 4, 3, 1, 0, 1, 0, 3, 3, 1, 0, 0, 3, 1, 3, 4, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 3, 0, 4, 3, 3, 0, 1, 2, 2, 0, 1, 0, 4, 3, 2, 3, 1, 3, 2, 2, 2, 4, 0, 0, 1, 0, 1, 1, 0, 0, 0, 3, 1, 1, 2, 1, 4, 0, 0, 3, 2, 1, 1, 3, 3, 0, 1, 0, 0, 2, 4, 4, 1, 2, 3, 0, 3, 1, 3, 2, 1, 4, 2, 1, 1, 0, 2, 2, 3, 3, 3, 2, 0, 2, 2, 3, 1, 3, 0, 3, 0, 1, 0, 2, 3, 2, 4, 4, 3, 2, 4, 4, 4, 0, 1, 0, 0, 2, 4, 1, 0, 3, 4, 4, 2, 4, 1, 0, 3, 2, 3, 3, 0, 2, 3, 1, 0, 3, 3, 4, 2, 2, 3, 1, 0, 0, 0, 2, 3, 0, 3, 2, 3, 2, 4, 3, 1, 4, 4, 1, 3, 4, 0, 0, 2, 4, 2, 3, 0, 4, 4, 0, 2, 3, 0, 0, 2, 4, 3, 3, 4, 0, 0, 0, 4, 0, 0, 2, 3, 3, 0, 0, 1, 1, 0, 0, 1, 3, 2, 1, 0, 0, 2, 3, 3, 4, 1, 3, 1, 4, 4, 0, 3, 1, 1, 3, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 3, 3, 3, 0, 0, 1, 2, 4, 4, 3, 1, 1, 4, 1, 4, 3, 1, 3, 2, 0, 0, 3, 4, 1, 0, 4, 3, 2, 0, 0, 4, 4, 1, 0]
pubkeycol1058 = [1, 4, 1, 1, 4, 3, 0, 4, 0, 0, 0, 3, 2, 1, 3, 2, 1, 4, 0, 3, 3, 0, 3, 4, 1, 3, 4, 4, 2, 4, 2, 3, 0, 1, 3, 2, 3, 2, 2, 1, 3, 3, 1, 1, 0, 4, 2, 1, 1, 2, 4, 1, 1, 0, 4, 3, 3, 4, 3, 4, 1, 3, 2, 0, 4, 0, 2, 0, 4, 1, 3, 1, 3, 3, 3, 4, 3, 1, 2, 1, 2, 3, 3, 2, 4, 2, 3, 2, 1, 3, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 3, 2, 1, 2, 2, 2, 0, 3, 4, 1, 2, 2, 4, 1, 2, 3, 0, 2, 0, 3, 2, 1, 3, 0, 3, 0, 1, 2, 0, 3, 3, 2, 2, 4, 3, 3, 4, 0, 4, 0, 2, 2, 1, 4, 0, 3, 3, 3, 4, 4, 4, 3, 1, 2, 1, 3, 0, 4, 1, 4, 4, 1, 4, 1, 1, 4, 0, 3, 2, 2, 2, 4, 0, 1, 2, 3, 2, 4, 0, 4, 3, 3, 0, 3, 0, 4, 1, 2, 2, 3, 0, 2, 1, 2, 4, 3, 0, 2, 3, 4, 2, 4, 0, 3, 1, 4, 0, 1, 2, 1, 0, 2, 3, 0, 2, 1, 4, 2, 3, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 4, 2, 3, 3, 3, 1, 3, 0, 0, 0, 2, 2, 2, 0, 2, 3, 4, 2, 0, 4, 1, 1, 4, 2, 1, 1, 0, 3, 0, 2, 0, 4, 0, 2, 0, 0, 3, 1, 4, 4, 4, 1, 2, 3, 2, 1, 3, 4, 2, 1, 4, 3, 3, 1, 1, 3, 2, 2, 3, 1, 4, 3, 0, 0, 1, 4, 4, 3, 3, 0, 0, 1, 4, 1, 3, 3, 4, 2, 4, 0, 4, 2, 0, 3, 3, 3, 3, 4, 1, 0, 0, 3, 2, 4, 0, 3, 4, 4, 1, 3, 0, 2, 4, 2, 3, 3, 3, 4, 1, 0, 4, 3, 3, 0, 0, 3, 3, 3, 4, 2, 3, 0, 1, 1, 4, 2, 4, 2, 0, 4, 3, 1, 2, 0, 0, 0, 1, 2, 1, 3, 4, 4, 0, 2, 3, 0, 3, 3, 0, 4, 1, 0, 3, 0, 4, 0, 4, 0, 2, 0, 1, 2, 0, 1, 4, 4, 1, 2, 2, 3]
pubkeycol1059 = [4, 0, 2, 1, 4, 3, 0, 0, 2, 2, 3, 0, 4, 4, 2, 1, 0, 1, 3, 2, 1, 4, 3, 1, 3, 1, 2, 2, 3, 2, 1, 1, 4, 0, 2, 4, 4, 1, 1, 2, 2, 3, 1, 4, 0, 1, 4, 3, 2, 1, 0, 1, 4, 3, 4, 4, 0, 4, 1, 0, 4, 2, 2, 3, 3, 1, 2, 2, 0, 4, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 4, 4, 3, 3, 4, 1, 2, 3, 2, 3, 1, 4, 2, 3, 3, 4, 4, 3, 1, 4, 2, 4, 2, 1, 0, 0, 3, 2, 3, 2, 3, 3, 3, 1, 2, 3, 4, 2, 3, 4, 2, 1, 0, 1, 4, 2, 0, 1, 4, 1, 1, 1, 2, 4, 3, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 3, 1, 2, 2, 4, 3, 0, 3, 4, 2, 1, 0, 4, 1, 0, 3, 1, 4, 1, 3, 2, 1, 4, 0, 2, 3, 4, 2, 0, 2, 3, 4, 3, 0, 0, 3, 2, 0, 1, 3, 1, 0, 2, 3, 4, 2, 2, 3, 3, 0, 1, 4, 0, 1, 3, 2, 2, 0, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 4, 1, 1, 3, 4, 0, 0, 0, 4, 3, 1, 0, 2, 3, 1, 3, 0, 2, 0, 1, 4, 0, 4, 1, 0, 4, 3, 1, 3, 3, 4, 4, 2, 4, 2, 3, 1, 2, 2, 1, 4, 1, 3, 1, 3, 4, 3, 3, 2, 2, 3, 3, 1, 0, 0, 4, 0, 2, 3, 3, 4, 1, 1, 4, 4, 3, 0, 3, 4, 1, 4, 4, 0, 0, 0, 0, 0, 4, 3, 3, 0, 2, 3, 1, 0, 3, 1, 2, 1, 1, 4, 1, 1, 2, 0, 4, 2, 1, 4, 4, 1, 0, 2, 1, 4, 0, 0, 1, 1, 4, 2, 3, 4, 1, 3, 1, 4, 4, 2, 2, 1, 4, 3, 4, 4, 1, 3, 1, 0, 0, 4, 3, 1, 1, 4, 3, 3, 4, 1, 2, 0, 1, 3, 0, 0, 0, 1, 4, 1, 2, 4, 0, 2, 2, 0, 3, 4, 0, 0, 2, 4, 3, 0, 0, 2, 4, 3, 1, 1, 1, 3, 1, 1, 3, 0, 0, 3, 4, 2, 1, 4, 1, 3, 2]
pubkeycol1060 = [1, 2, 2, 3, 1, 3, 0, 1, 1, 0, 3, 0, 0, 1, 4, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 4, 0, 0, 0, 3, 2, 2, 1, 3, 4, 2, 1, 4, 3, 3, 4, 2, 1, 2, 1, 1, 1, 0, 1, 3, 0, 0, 0, 4, 3, 4, 4, 4, 4, 2, 0, 2, 2, 2, 1, 0, 2, 3, 0, 2, 0, 0, 2, 3, 1, 4, 3, 0, 0, 1, 0, 0, 1, 3, 1, 2, 4, 1, 1, 2, 0, 3, 1, 2, 4, 0, 3, 1, 0, 3, 4, 3, 4, 1, 2, 3, 2, 3, 1, 4, 1, 2, 0, 4, 0, 1, 2, 1, 4, 4, 2, 0, 2, 1, 3, 3, 2, 2, 0, 1, 1, 4, 0, 4, 4, 2, 2, 3, 1, 1, 4, 4, 2, 1, 3, 3, 0, 2, 4, 1, 4, 2, 4, 3, 0, 4, 4, 4, 4, 1, 3, 2, 2, 0, 3, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 3, 3, 4, 4, 4, 1, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 1, 2, 2, 4, 1, 2, 4, 2, 3, 2, 1, 2, 2, 1, 2, 4, 1, 0, 1, 4, 0, 3, 3, 1, 2, 1, 4, 3, 2, 0, 4, 0, 4, 3, 3, 3, 2, 1, 1, 4, 3, 1, 4, 2, 4, 3, 0, 0, 3, 4, 0, 1, 0, 4, 4, 2, 0, 2, 0, 2, 3, 0, 4, 0, 2, 1, 1, 3, 0, 2, 0, 4, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 4, 0, 0, 3, 3, 1, 0, 0, 0, 2, 0, 3, 0, 4, 3, 2, 2, 0, 3, 4, 1, 1, 4, 2, 4, 2, 4, 1, 3, 1, 0, 0, 1, 1, 0, 0, 4, 1, 0, 3, 3, 2, 3, 2, 1, 4, 3, 4, 1, 3, 2, 1, 3, 1, 4, 2, 2, 1, 0, 3, 0, 3, 2, 2, 3, 0, 2, 3, 4, 0, 0, 0, 2, 0, 1, 0, 4, 3, 1, 0, 3, 0, 4, 4, 0, 3, 1, 4, 3, 3, 1, 2, 0, 3, 3, 3, 4, 3, 3, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 4, 0, 4, 1, 1, 1, 2, 3, 1, 0, 1, 4, 4, 1]
pubkeycol1061 = [1, 4, 1, 4, 1, 4, 4, 4, 2, 3, 4, 3, 1, 3, 3, 2, 3, 4, 2, 0, 2, 1, 0, 4, 4, 2, 1, 2, 0, 2, 2, 1, 4, 4, 4, 1, 3, 1, 1, 0, 2, 3, 1, 1, 0, 2, 0, 0, 2, 2, 1, 4, 0, 4, 1, 4, 4, 1, 4, 4, 2, 4, 2, 4, 0, 0, 0, 2, 1, 2, 2, 3, 4, 2, 1, 0, 1, 4, 2, 3, 3, 0, 1, 0, 1, 4, 1, 3, 0, 2, 3, 2, 4, 1, 3, 4, 2, 4, 4, 1, 2, 4, 4, 3, 0, 4, 4, 2, 4, 0, 4, 1, 2, 2, 3, 1, 3, 3, 0, 1, 2, 3, 1, 1, 2, 1, 2, 4, 0, 2, 0, 0, 3, 1, 0, 1, 2, 2, 2, 4, 2, 2, 4, 4, 0, 2, 3, 4, 0, 2, 2, 4, 0, 4, 3, 2, 4, 2, 1, 3, 4, 4, 4, 2, 2, 0, 4, 1, 1, 2, 4, 0, 3, 2, 4, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 2, 4, 3, 3, 2, 3, 2, 2, 0, 3, 0, 3, 3, 4, 2, 2, 1, 3, 1, 3, 0, 2, 0, 4, 4, 4, 1, 4, 0, 0, 3, 1, 4, 2, 1, 1, 4, 1, 4, 3, 0, 4, 2, 1, 0, 0, 4, 0, 1, 3, 0, 3, 3, 1, 2, 3, 0, 2, 3, 0, 2, 0, 1, 0, 3, 4, 3, 2, 3, 3, 0, 2, 2, 1, 2, 1, 4, 4, 1, 2, 3, 2, 4, 2, 0, 3, 4, 2, 1, 2, 4, 0, 3, 2, 4, 4, 4, 1, 0, 3, 1, 3, 0, 0, 1, 2, 2, 0, 0, 4, 4, 0, 0, 0, 1, 3, 3, 4, 0, 0, 3, 1, 0, 1, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 2, 3, 4, 3, 3, 1, 4, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 3, 4, 3, 2, 4, 0, 0, 3, 4, 0, 0, 1, 4, 0, 4, 2, 4, 2, 1, 4, 2, 3, 0, 1, 4, 0, 1, 1, 4, 3, 3, 1, 2, 1, 4, 0, 2, 3, 3, 0, 4, 4, 2, 3, 0, 1, 2, 0, 4, 3, 3, 0, 4, 0, 4, 2, 4]
pubkeycol1062 = [3, 2, 4, 1, 0, 1, 4, 4, 4, 2, 2, 2, 0, 1, 3, 0, 0, 2, 2, 0, 2, 2, 1, 3, 1, 1, 1, 0, 2, 0, 3, 4, 1, 1, 0, 2, 1, 0, 3, 2, 2, 2, 3, 0, 4, 2, 1, 2, 1, 2, 2, 4, 4, 2, 0, 2, 0, 1, 0, 4, 3, 2, 4, 4, 2, 2, 1, 3, 3, 4, 1, 0, 1, 3, 1, 1, 2, 0, 0, 0, 0, 4, 3, 4, 1, 4, 1, 4, 4, 0, 2, 0, 3, 1, 3, 4, 3, 1, 1, 0, 4, 1, 3, 1, 0, 2, 4, 0, 4, 2, 1, 4, 2, 2, 0, 2, 0, 0, 1, 4, 1, 0, 3, 3, 4, 4, 3, 1, 4, 2, 4, 4, 2, 0, 0, 2, 2, 0, 1, 4, 0, 2, 2, 1, 0, 4, 3, 4, 4, 0, 4, 4, 4, 2, 3, 3, 4, 4, 3, 3, 4, 3, 4, 0, 1, 2, 3, 0, 0, 0, 3, 2, 2, 4, 1, 3, 4, 2, 4, 0, 3, 3, 2, 1, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 1, 2, 4, 2, 4, 3, 3, 1, 4, 1, 4, 0, 0, 4, 1, 0, 2, 1, 0, 2, 2, 4, 4, 0, 3, 1, 0, 1, 2, 2, 2, 1, 2, 4, 2, 3, 2, 3, 4, 0, 2, 4, 3, 1, 0, 4, 3, 2, 0, 3, 2, 1, 4, 0, 2, 1, 0, 2, 1, 4, 0, 3, 2, 0, 2, 0, 3, 0, 3, 0, 3, 1, 1, 1, 3, 1, 3, 2, 4, 3, 0, 4, 3, 3, 1, 1, 0, 2, 4, 4, 2, 0, 2, 0, 0, 0, 1, 2, 3, 2, 0, 1, 0, 0, 4, 4, 3, 3, 2, 1, 3, 3, 3, 3, 2, 2, 4, 2, 0, 1, 2, 2, 0, 0, 1, 4, 0, 2, 4, 4, 2, 3, 3, 2, 0, 3, 1, 1, 0, 0, 1, 0, 4, 0, 2, 4, 3, 1, 1, 3, 0, 0, 1, 2, 0, 3, 4, 4, 4, 3, 4, 3, 2, 4, 4, 0, 1, 1, 4, 4, 3, 1, 3, 3, 3, 2, 0, 2, 4, 4, 4, 2, 0, 0, 1, 2, 2, 2, 3, 1, 1, 3, 0, 4, 1, 1, 0, 1, 2]
pubkeycol1063 = [1, 2, 1, 4, 4, 4, 2, 2, 0, 2, 1, 0, 3, 4, 3, 3, 1, 3, 4, 1, 2, 0, 3, 1, 2, 2, 3, 0, 0, 0, 4, 3, 0, 0, 0, 4, 0, 0, 2, 0, 3, 1, 0, 2, 3, 1, 0, 3, 0, 4, 2, 0, 2, 3, 4, 4, 4, 3, 0, 3, 0, 1, 2, 3, 0, 1, 3, 1, 1, 1, 4, 4, 0, 1, 2, 3, 2, 2, 3, 3, 1, 1, 0, 2, 3, 2, 4, 3, 0, 1, 0, 3, 1, 3, 0, 4, 2, 2, 4, 3, 3, 4, 1, 2, 0, 4, 1, 0, 3, 2, 0, 4, 0, 3, 0, 3, 4, 2, 0, 3, 4, 4, 3, 3, 3, 3, 0, 4, 2, 2, 1, 1, 4, 4, 2, 1, 4, 0, 0, 2, 3, 0, 3, 1, 3, 4, 3, 2, 2, 3, 3, 3, 4, 3, 3, 3, 1, 4, 0, 3, 4, 3, 4, 3, 3, 1, 1, 2, 4, 0, 2, 0, 3, 3, 4, 4, 0, 2, 3, 1, 1, 1, 4, 3, 3, 1, 1, 1, 3, 1, 3, 4, 4, 3, 1, 0, 4, 1, 2, 3, 1, 0, 3, 1, 2, 3, 1, 4, 2, 1, 0, 3, 2, 4, 1, 2, 3, 1, 4, 1, 3, 1, 1, 2, 0, 1, 2, 4, 2, 0, 4, 0, 0, 3, 2, 0, 2, 1, 4, 4, 2, 2, 0, 2, 4, 0, 1, 0, 4, 3, 1, 2, 3, 0, 0, 3, 4, 4, 1, 1, 0, 1, 0, 1, 3, 0, 0, 3, 0, 1, 3, 0, 1, 3, 2, 0, 3, 4, 1, 0, 4, 4, 0, 1, 3, 0, 4, 1, 3, 3, 1, 4, 4, 0, 3, 2, 2, 4, 2, 2, 3, 0, 2, 3, 2, 0, 1, 3, 0, 3, 2, 1, 1, 3, 3, 1, 3, 4, 3, 1, 0, 2, 3, 4, 1, 3, 1, 2, 3, 0, 1, 0, 0, 2, 2, 4, 3, 1, 0, 0, 2, 3, 3, 0, 2, 0, 2, 2, 0, 3, 4, 3, 2, 2, 1, 2, 4, 0, 0, 1, 3, 1, 1, 0, 0, 1, 4, 3, 2, 4, 3, 2, 3, 0, 0, 2, 1, 1, 0, 4, 4, 4, 2, 4, 4, 4, 4, 3, 2, 4, 0, 2, 2, 0, 2, 1, 2, 2, 4, 2]
pubkeycol1064 = [1, 1, 1, 1, 2, 4, 1, 0, 3, 1, 2, 2, 0, 4, 3, 1, 3, 4, 3, 0, 4, 0, 3, 3, 0, 4, 2, 2, 4, 0, 1, 4, 3, 3, 4, 3, 3, 0, 1, 1, 3, 3, 2, 0, 0, 1, 3, 0, 1, 0, 1, 0, 1, 3, 2, 4, 0, 2, 1, 1, 0, 2, 4, 0, 4, 4, 3, 0, 1, 0, 1, 1, 4, 0, 2, 1, 1, 2, 0, 0, 2, 3, 4, 2, 0, 1, 0, 0, 4, 0, 1, 2, 1, 2, 3, 4, 3, 0, 0, 2, 0, 4, 3, 0, 1, 1, 3, 3, 3, 4, 3, 4, 3, 4, 3, 0, 0, 4, 2, 3, 3, 4, 2, 0, 1, 3, 4, 2, 3, 2, 3, 4, 0, 1, 2, 2, 0, 4, 2, 2, 3, 4, 0, 3, 3, 2, 1, 0, 2, 0, 0, 2, 0, 3, 3, 2, 4, 1, 4, 3, 3, 3, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 0, 2, 1, 2, 4, 2, 0, 4, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 1, 0, 0, 0, 1, 0, 4, 3, 1, 4, 3, 3, 3, 2, 4, 2, 3, 1, 2, 0, 1, 4, 1, 1, 0, 2, 3, 1, 1, 2, 2, 3, 2, 0, 3, 0, 2, 1, 3, 3, 2, 2, 4, 2, 2, 1, 4, 3, 2, 3, 2, 1, 4, 1, 2, 2, 3, 4, 1, 0, 3, 3, 3, 3, 0, 0, 2, 3, 2, 3, 2, 3, 3, 4, 4, 2, 3, 1, 4, 0, 0, 3, 1, 3, 4, 1, 3, 4, 2, 0, 2, 3, 2, 1, 3, 4, 0, 1, 4, 1, 2, 3, 0, 2, 3, 0, 1, 1, 2, 2, 1, 4, 3, 0, 3, 2, 4, 4, 0, 1, 0, 1, 4, 1, 1, 1, 4, 2, 0, 2, 3, 0, 3, 3, 2, 4, 2, 4, 0, 4, 4, 2, 4, 3, 0, 3, 0, 1, 1, 0, 2, 1, 3, 1, 1, 3, 3, 1, 2, 2, 4, 3, 1, 1, 3, 1, 3, 1, 1, 1, 2, 0, 3, 1, 0, 3, 2, 0, 4, 3, 3, 3, 0, 0, 4, 0, 3, 2, 2, 0, 3, 3, 0, 1, 3, 0, 4, 2, 4, 4, 3, 2, 2, 0]
pubkeycol1065 = [3, 0, 2, 3, 1, 2, 4, 1, 1, 4, 3, 3, 4, 0, 1, 4, 3, 0, 3, 1, 4, 4, 0, 1, 0, 3, 1, 2, 2, 0, 4, 4, 2, 3, 4, 0, 1, 3, 4, 2, 3, 0, 4, 1, 1, 3, 4, 4, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 3, 4, 2, 1, 3, 3, 0, 1, 3, 0, 4, 0, 1, 3, 2, 2, 1, 0, 3, 0, 4, 0, 3, 2, 2, 1, 3, 0, 0, 0, 3, 2, 4, 4, 1, 2, 4, 2, 0, 1, 3, 1, 3, 1, 4, 2, 2, 2, 1, 4, 1, 3, 1, 3, 2, 2, 1, 4, 1, 1, 1, 3, 3, 1, 4, 4, 0, 1, 2, 1, 2, 3, 4, 2, 0, 4, 3, 2, 1, 0, 4, 1, 4, 2, 0, 4, 1, 0, 3, 3, 4, 0, 0, 0, 2, 4, 3, 1, 0, 3, 4, 0, 0, 3, 1, 0, 3, 3, 3, 4, 0, 3, 1, 1, 2, 2, 0, 2, 1, 4, 2, 1, 1, 4, 3, 3, 3, 4, 2, 2, 1, 3, 2, 1, 4, 2, 0, 4, 1, 4, 0, 0, 0, 2, 2, 3, 4, 0, 4, 4, 2, 4, 0, 1, 4, 3, 4, 1, 4, 1, 2, 0, 3, 3, 0, 4, 3, 3, 3, 0, 3, 2, 4, 2, 1, 0, 4, 2, 0, 0, 0, 0, 4, 0, 3, 3, 3, 1, 2, 3, 3, 4, 1, 4, 2, 0, 3, 2, 0, 3, 4, 1, 2, 4, 1, 1, 4, 4, 1, 2, 4, 1, 0, 2, 3, 4, 1, 0, 3, 3, 2, 4, 3, 3, 0, 2, 1, 3, 3, 2, 3, 0, 0, 0, 3, 3, 1, 3, 1, 1, 1, 3, 1, 2, 3, 0, 2, 3, 4, 1, 3, 2, 1, 1, 2, 4, 0, 3, 2, 0, 4, 1, 4, 2, 4, 0, 3, 0, 3, 4, 1, 1, 4, 1, 4, 0, 0, 4, 4, 1, 3, 0, 4, 0, 3, 4, 3, 1, 0, 0, 2, 1, 1, 1, 2, 4, 0, 0, 2, 2, 2, 3, 4, 1, 2, 2, 1, 1, 3, 0, 0, 4, 1, 0, 2, 1, 2, 4, 4, 2, 2, 0, 1, 0, 0, 0, 4, 4, 4, 0, 2, 3, 0, 2, 3, 1, 1, 0, 0, 4, 4, 3]
pubkeycol1066 = [2, 2, 3, 4, 3, 4, 1, 1, 3, 4, 2, 1, 0, 3, 0, 2, 4, 0, 1, 4, 3, 4, 4, 2, 0, 1, 4, 0, 3, 4, 1, 3, 4, 4, 2, 4, 3, 0, 4, 3, 1, 0, 0, 4, 3, 1, 0, 4, 4, 3, 0, 2, 1, 1, 4, 1, 1, 2, 0, 0, 1, 1, 1, 4, 3, 3, 3, 4, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 2, 2, 3, 1, 1, 1, 0, 4, 3, 2, 2, 0, 4, 1, 1, 0, 3, 4, 4, 4, 3, 1, 3, 2, 1, 3, 3, 1, 4, 4, 2, 3, 0, 2, 2, 1, 0, 2, 0, 2, 4, 0, 3, 2, 1, 4, 2, 0, 4, 2, 3, 1, 1, 1, 0, 2, 4, 4, 4, 1, 3, 1, 2, 4, 1, 2, 1, 2, 2, 2, 4, 4, 3, 0, 2, 3, 3, 1, 3, 3, 4, 2, 2, 4, 4, 3, 3, 3, 2, 4, 2, 0, 2, 3, 4, 2, 1, 0, 0, 1, 3, 4, 0, 3, 2, 0, 3, 1, 4, 3, 4, 0, 2, 2, 1, 0, 0, 0, 3, 3, 2, 4, 3, 3, 2, 2, 4, 0, 1, 1, 1, 0, 4, 3, 4, 3, 0, 4, 0, 0, 2, 4, 2, 3, 2, 4, 4, 0, 0, 2, 3, 1, 1, 3, 0, 4, 3, 3, 2, 0, 4, 2, 3, 2, 2, 0, 0, 4, 0, 4, 2, 1, 1, 1, 3, 1, 0, 1, 0, 0, 2, 3, 3, 4, 2, 1, 2, 2, 0, 2, 2, 1, 2, 4, 1, 3, 2, 3, 2, 0, 1, 3, 4, 2, 1, 4, 1, 1, 0, 3, 3, 0, 3, 4, 1, 2, 3, 4, 0, 0, 4, 4, 1, 0, 2, 4, 4, 1, 3, 3, 1, 0, 1, 0, 2, 1, 4, 2, 1, 1, 2, 0, 1, 4, 1, 4, 3, 1, 0, 1, 4, 2, 4, 2, 0, 2, 0, 2, 0, 3, 1, 1, 1, 2, 1, 1, 3, 3, 3, 4, 4, 3, 0, 1, 1, 1, 4, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 4, 3, 2, 1, 1, 0, 4, 4, 4, 3, 0, 3, 0, 2, 2, 0, 3, 4, 3, 2, 3, 3, 2, 4, 1, 4, 3, 4, 2]
pubkeycol1067 = [3, 3, 2, 0, 3, 3, 0, 3, 4, 3, 4, 1, 0, 2, 0, 3, 1, 1, 3, 2, 0, 1, 0, 4, 0, 0, 3, 0, 2, 3, 4, 0, 4, 2, 1, 4, 4, 0, 1, 2, 4, 0, 4, 4, 4, 4, 3, 2, 0, 4, 0, 0, 4, 2, 0, 0, 1, 1, 3, 1, 2, 0, 3, 0, 4, 2, 4, 4, 2, 2, 0, 3, 4, 0, 3, 2, 2, 0, 2, 3, 1, 3, 3, 2, 0, 0, 3, 3, 1, 3, 1, 2, 0, 2, 3, 1, 1, 2, 0, 0, 4, 2, 4, 4, 0, 1, 4, 4, 0, 2, 4, 2, 2, 2, 1, 4, 0, 0, 1, 4, 0, 3, 3, 1, 2, 1, 2, 4, 2, 2, 1, 0, 4, 1, 0, 4, 0, 2, 2, 3, 3, 3, 3, 4, 1, 3, 1, 1, 3, 4, 2, 1, 3, 4, 0, 0, 2, 0, 0, 3, 2, 4, 4, 1, 3, 1, 2, 4, 4, 4, 1, 1, 2, 1, 0, 2, 3, 4, 0, 2, 3, 4, 3, 4, 0, 2, 3, 1, 4, 1, 2, 1, 2, 2, 3, 2, 1, 4, 1, 2, 1, 1, 0, 2, 4, 4, 1, 1, 0, 3, 4, 1, 0, 1, 1, 4, 3, 0, 1, 4, 3, 3, 0, 2, 2, 4, 3, 0, 0, 2, 0, 3, 1, 3, 1, 4, 2, 3, 2, 3, 2, 1, 4, 4, 2, 4, 2, 3, 1, 3, 4, 2, 3, 1, 4, 2, 2, 4, 2, 0, 4, 1, 1, 4, 0, 0, 2, 3, 1, 1, 1, 1, 1, 3, 1, 0, 0, 1, 1, 0, 1, 0, 3, 3, 2, 0, 2, 1, 3, 3, 4, 0, 2, 1, 3, 3, 3, 3, 3, 4, 0, 0, 3, 3, 0, 2, 1, 4, 1, 3, 1, 0, 2, 0, 4, 2, 0, 4, 0, 0, 4, 2, 0, 1, 2, 3, 4, 3, 0, 4, 1, 1, 3, 1, 3, 1, 0, 0, 2, 2, 0, 1, 4, 3, 0, 3, 2, 0, 3, 2, 1, 4, 2, 1, 2, 3, 4, 2, 0, 3, 0, 4, 2, 3, 0, 3, 0, 1, 1, 1, 4, 1, 4, 3, 1, 3, 0, 1, 2, 2, 4, 4, 2, 0, 4, 2, 4, 0, 2, 3, 4, 1, 2, 0, 2, 1, 0, 0, 3, 0]
pubkeycol1068 = [0, 2, 1, 1, 2, 0, 2, 2, 3, 1, 3, 3, 3, 2, 2, 4, 0, 2, 2, 1, 2, 3, 0, 0, 1, 1, 0, 2, 1, 2, 4, 1, 1, 1, 2, 2, 1, 2, 2, 0, 3, 0, 1, 1, 3, 0, 3, 0, 3, 3, 1, 4, 4, 1, 0, 1, 2, 4, 3, 4, 2, 3, 4, 1, 4, 0, 1, 0, 3, 4, 1, 3, 4, 3, 1, 3, 1, 1, 2, 2, 4, 2, 2, 4, 2, 0, 0, 0, 4, 2, 1, 2, 1, 2, 3, 1, 2, 4, 4, 0, 1, 3, 1, 1, 0, 1, 1, 1, 4, 2, 4, 1, 1, 4, 4, 1, 0, 3, 4, 0, 1, 3, 1, 1, 0, 3, 3, 2, 2, 4, 0, 1, 4, 2, 3, 2, 2, 0, 3, 3, 4, 4, 3, 0, 1, 3, 3, 0, 3, 4, 0, 3, 1, 3, 1, 4, 0, 4, 2, 4, 3, 1, 0, 3, 3, 1, 3, 4, 3, 1, 1, 3, 2, 3, 3, 4, 0, 0, 4, 3, 3, 1, 3, 4, 1, 0, 3, 3, 4, 2, 2, 2, 2, 1, 3, 0, 3, 2, 4, 0, 0, 3, 1, 3, 2, 4, 0, 4, 3, 3, 0, 0, 4, 4, 4, 3, 3, 4, 4, 0, 4, 2, 0, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 3, 0, 0, 0, 4, 0, 2, 4, 3, 1, 1, 3, 4, 3, 0, 1, 4, 4, 3, 3, 1, 1, 4, 1, 0, 2, 3, 3, 1, 2, 4, 0, 0, 3, 2, 1, 4, 0, 1, 4, 0, 2, 0, 4, 4, 0, 1, 4, 2, 1, 1, 0, 0, 1, 3, 1, 1, 0, 1, 2, 3, 0, 2, 3, 0, 2, 1, 4, 2, 0, 4, 1, 3, 1, 3, 0, 1, 4, 0, 0, 1, 3, 3, 0, 4, 2, 3, 4, 4, 1, 1, 1, 4, 1, 1, 0, 2, 1, 4, 4, 1, 1, 0, 4, 0, 4, 0, 1, 0, 4, 0, 1, 3, 3, 0, 0, 1, 2, 4, 3, 1, 2, 3, 2, 4, 4, 0, 3, 2, 1, 3, 4, 1, 2, 2, 4, 1, 4, 4, 1, 3, 4, 3, 4, 1, 4, 4, 1, 3, 2, 2, 3, 1, 2, 0, 2, 0, 3, 4, 4, 1, 0, 2, 0, 3, 3]
pubkeycol1069 = [1, 3, 1, 1, 3, 4, 2, 2, 2, 2, 4, 1, 3, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 3, 4, 4, 3, 3, 4, 1, 0, 3, 4, 3, 0, 1, 1, 3, 3, 3, 0, 3, 0, 4, 0, 1, 3, 3, 3, 1, 1, 4, 2, 0, 2, 3, 0, 0, 4, 1, 0, 1, 2, 4, 4, 0, 3, 3, 1, 3, 2, 4, 1, 2, 3, 2, 4, 4, 2, 1, 2, 4, 2, 4, 3, 2, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 4, 1, 2, 2, 3, 0, 3, 3, 0, 2, 4, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 4, 0, 0, 0, 0, 2, 4, 0, 1, 4, 3, 4, 3, 3, 2, 4, 0, 1, 0, 2, 4, 4, 3, 0, 1, 3, 4, 1, 1, 4, 2, 2, 3, 3, 3, 1, 0, 0, 4, 4, 0, 2, 0, 2, 1, 0, 3, 2, 2, 0, 4, 2, 4, 3, 4, 1, 4, 0, 0, 0, 0, 0, 3, 3, 3, 2, 0, 2, 2, 1, 0, 3, 0, 2, 3, 3, 4, 0, 4, 0, 2, 4, 4, 0, 3, 0, 2, 3, 1, 4, 4, 4, 3, 0, 3, 3, 3, 1, 4, 1, 4, 1, 0, 0, 2, 3, 2, 4, 2, 3, 1, 1, 4, 1, 3, 4, 2, 3, 4, 1, 4, 1, 2, 0, 1, 1, 0, 0, 1, 4, 0, 3, 1, 4, 4, 3, 1, 1, 4, 4, 3, 2, 4, 0, 2, 0, 4, 1, 2, 1, 3, 2, 4, 0, 2, 1, 3, 4, 3, 1, 0, 4, 0, 2, 0, 2, 4, 1, 4, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 3, 3, 4, 4, 1, 2, 4, 1, 3, 2, 1, 2, 1, 0, 4, 4, 4, 3, 0, 2, 2, 4, 4, 1, 2, 1, 1, 0, 4, 0, 0, 4, 2, 0, 3, 2, 0, 0, 3, 2, 4, 1, 0, 3, 1, 4, 1, 0, 2, 0, 0, 2, 0, 4, 3, 1, 3, 4, 0, 2, 3, 2, 2, 3, 3, 2, 2, 4, 1, 2, 0, 3, 0, 2, 2, 1, 0, 3, 2, 4, 4, 4, 1, 1, 3, 3, 0, 2, 4, 1, 0, 3, 3]
pubkeycol1070 = [1, 2, 1, 3, 0, 1, 3, 1, 1, 4, 0, 4, 3, 0, 1, 3, 4, 1, 4, 4, 3, 3, 4, 2, 1, 4, 3, 4, 0, 3, 1, 4, 2, 4, 4, 3, 0, 0, 3, 1, 4, 2, 0, 1, 4, 3, 0, 0, 1, 4, 3, 0, 4, 1, 2, 3, 2, 0, 4, 4, 0, 4, 3, 1, 3, 0, 0, 4, 3, 3, 2, 3, 4, 0, 3, 3, 1, 1, 2, 1, 0, 3, 3, 3, 3, 2, 3, 4, 0, 3, 0, 4, 1, 2, 1, 0, 2, 0, 4, 4, 1, 1, 4, 3, 3, 3, 4, 2, 0, 1, 3, 2, 4, 1, 1, 1, 3, 0, 4, 0, 3, 1, 2, 4, 4, 1, 4, 0, 2, 4, 2, 4, 0, 1, 3, 3, 1, 4, 0, 2, 0, 0, 2, 1, 0, 0, 3, 3, 1, 1, 0, 1, 1, 0, 2, 1, 3, 1, 3, 1, 4, 1, 3, 4, 2, 4, 1, 4, 4, 4, 4, 4, 2, 1, 3, 0, 3, 3, 1, 1, 4, 3, 3, 2, 4, 3, 4, 4, 4, 1, 4, 3, 1, 2, 1, 0, 4, 3, 2, 0, 4, 0, 3, 4, 2, 4, 4, 1, 1, 0, 2, 1, 1, 3, 2, 2, 0, 1, 3, 0, 4, 0, 4, 4, 2, 1, 1, 4, 2, 0, 1, 2, 0, 1, 1, 2, 4, 0, 0, 3, 1, 4, 4, 0, 4, 0, 1, 0, 1, 2, 2, 1, 4, 3, 0, 0, 1, 4, 1, 1, 1, 0, 3, 1, 0, 0, 4, 2, 2, 1, 4, 2, 0, 0, 4, 3, 4, 4, 0, 2, 0, 1, 3, 3, 1, 2, 0, 4, 2, 3, 2, 4, 0, 3, 2, 4, 4, 0, 3, 4, 3, 4, 4, 1, 0, 2, 3, 3, 0, 2, 0, 3, 4, 4, 1, 1, 1, 1, 4, 0, 3, 3, 1, 0, 2, 0, 1, 3, 2, 3, 0, 3, 4, 2, 0, 3, 0, 1, 0, 4, 1, 0, 4, 4, 4, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 4, 3, 2, 3, 3, 4, 0, 0, 0, 4, 0, 3, 2, 2, 0, 4, 0, 2, 0, 3, 3, 2, 1, 0, 2, 0, 4, 0, 1, 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 1, 2, 1, 4, 1, 1]
pubkeycol1071 = [2, 3, 2, 2, 1, 0, 3, 2, 4, 0, 0, 1, 2, 0, 1, 1, 4, 1, 2, 4, 3, 0, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 4, 0, 1, 2, 4, 3, 1, 0, 3, 2, 0, 4, 1, 4, 0, 0, 4, 0, 2, 1, 4, 4, 3, 2, 3, 3, 1, 3, 4, 2, 4, 2, 1, 2, 2, 0, 2, 0, 4, 4, 3, 4, 0, 3, 3, 4, 0, 4, 1, 3, 0, 3, 0, 4, 4, 3, 1, 2, 3, 2, 3, 4, 3, 3, 2, 1, 3, 1, 1, 1, 0, 3, 0, 1, 2, 3, 1, 1, 2, 3, 0, 4, 1, 2, 4, 0, 2, 1, 3, 3, 0, 3, 3, 2, 1, 0, 1, 3, 4, 4, 1, 3, 2, 0, 2, 2, 3, 4, 1, 4, 2, 1, 2, 1, 0, 4, 2, 0, 3, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 0, 4, 2, 4, 3, 0, 1, 2, 4, 3, 4, 3, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 2, 4, 4, 4, 4, 0, 2, 1, 0, 3, 0, 2, 4, 4, 1, 3, 0, 1, 4, 1, 0, 3, 4, 4, 2, 4, 4, 1, 2, 3, 4, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 3, 1, 3, 3, 3, 4, 2, 2, 1, 1, 1, 2, 1, 2, 4, 2, 4, 1, 0, 1, 1, 3, 3, 4, 2, 4, 3, 4, 1, 3, 1, 2, 1, 1, 1, 1, 4, 4, 4, 4, 1, 2, 0, 4, 3, 1, 0, 2, 1, 4, 4, 0, 4, 1, 4, 4, 4, 2, 4, 4, 3, 3, 2, 3, 4, 0, 4, 1, 3, 3, 1, 3, 4, 2, 1, 1, 2, 2, 4, 3, 3, 0, 1, 2, 2, 4, 4, 3, 3, 0, 0, 4, 3, 2, 1, 3, 4, 0, 3, 0, 4, 4, 1, 0, 4, 2, 0, 2, 0, 2, 2, 4, 1, 2, 0, 3, 3, 2, 1, 0, 0, 0, 3, 0, 1, 0, 2, 2, 1, 2, 4, 4, 1, 0, 0, 2, 3, 3, 3, 2, 0, 0, 2, 2, 2, 4, 4, 1, 3, 2, 0, 3, 2, 1, 3, 4, 1, 1, 4, 2, 2, 4, 1]
pubkeycol1072 = [2, 3, 2, 4, 0, 0, 0, 2, 1, 0, 1, 2, 4, 0, 3, 3, 2, 1, 2, 0, 4, 1, 0, 1, 0, 2, 1, 1, 4, 2, 3, 1, 0, 0, 3, 0, 2, 4, 4, 3, 1, 0, 1, 0, 0, 4, 4, 2, 4, 0, 2, 3, 1, 4, 0, 0, 1, 0, 4, 3, 1, 3, 2, 2, 3, 1, 4, 0, 1, 1, 0, 2, 0, 2, 3, 2, 4, 3, 2, 1, 1, 4, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 4, 1, 1, 0, 0, 3, 2, 3, 3, 0, 4, 3, 1, 3, 4, 0, 4, 2, 1, 2, 1, 0, 3, 4, 1, 2, 4, 0, 2, 1, 2, 1, 4, 1, 1, 2, 4, 0, 2, 0, 3, 0, 1, 4, 2, 1, 1, 3, 2, 2, 1, 2, 4, 3, 4, 4, 2, 1, 4, 4, 0, 1, 3, 2, 0, 3, 1, 1, 3, 3, 3, 2, 3, 3, 3, 4, 1, 3, 3, 0, 0, 3, 3, 4, 3, 0, 3, 4, 3, 2, 3, 1, 0, 3, 4, 3, 2, 1, 3, 3, 0, 0, 1, 2, 4, 4, 4, 2, 0, 2, 3, 2, 0, 4, 3, 3, 4, 4, 4, 4, 3, 2, 2, 0, 1, 4, 2, 1, 3, 4, 2, 2, 2, 0, 2, 3, 3, 3, 4, 2, 2, 4, 3, 4, 3, 0, 0, 2, 3, 1, 2, 1, 3, 4, 0, 3, 4, 3, 4, 1, 4, 1, 2, 2, 2, 1, 3, 0, 3, 0, 3, 3, 1, 3, 2, 1, 3, 4, 4, 0, 1, 3, 4, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 3, 1, 4, 0, 0, 1, 3, 3, 3, 3, 1, 1, 3, 2, 4, 0, 0, 1, 4, 0, 4, 1, 2, 1, 4, 2, 3, 2, 1, 4, 1, 4, 0, 3, 2, 0, 4, 1, 4, 1, 4, 4, 4, 0, 1, 0, 1, 0, 0, 2, 4, 0, 2, 0, 1, 0, 0, 0, 0, 3, 0, 1, 3, 1, 2, 4, 2, 0, 3, 1, 4, 4, 0, 0, 2, 4, 1, 2, 0, 2, 1, 0, 1, 4, 2, 0, 1, 0, 1, 4, 1, 2, 3, 2, 3, 2, 4, 3, 3, 4, 1, 4, 0, 4, 1, 1, 2, 4, 3, 3, 2, 4, 0, 2, 1]
pubkeycol1073 = [2, 2, 4, 0, 2, 2, 1, 0, 3, 0, 2, 0, 3, 0, 1, 3, 4, 2, 1, 1, 4, 0, 2, 1, 3, 2, 3, 3, 2, 2, 0, 1, 1, 4, 1, 3, 4, 2, 3, 0, 0, 0, 3, 0, 3, 4, 3, 0, 0, 1, 2, 3, 1, 0, 2, 1, 2, 2, 4, 1, 0, 3, 1, 0, 0, 2, 1, 0, 4, 3, 2, 2, 0, 1, 4, 1, 1, 1, 3, 0, 2, 1, 2, 0, 1, 2, 3, 3, 2, 4, 0, 2, 3, 4, 1, 4, 4, 1, 4, 3, 3, 2, 0, 2, 1, 1, 0, 1, 0, 3, 3, 3, 2, 4, 3, 2, 2, 3, 2, 4, 3, 2, 3, 1, 1, 1, 4, 1, 1, 2, 4, 4, 2, 0, 3, 0, 1, 4, 2, 1, 1, 4, 1, 2, 2, 4, 3, 3, 0, 0, 0, 2, 4, 0, 3, 4, 0, 2, 1, 4, 1, 2, 3, 4, 0, 4, 2, 4, 0, 0, 0, 0, 1, 4, 3, 3, 2, 0, 3, 4, 1, 0, 1, 3, 3, 0, 3, 1, 0, 2, 2, 2, 0, 3, 4, 1, 4, 4, 2, 4, 1, 0, 1, 0, 4, 4, 0, 4, 3, 0, 3, 4, 0, 3, 0, 1, 0, 0, 4, 0, 3, 2, 0, 2, 0, 3, 4, 2, 3, 0, 0, 3, 3, 2, 0, 3, 3, 1, 3, 1, 2, 4, 0, 2, 0, 3, 1, 1, 2, 1, 4, 4, 2, 1, 0, 0, 0, 0, 2, 1, 4, 1, 1, 2, 2, 3, 3, 3, 1, 4, 2, 3, 3, 4, 0, 3, 3, 4, 0, 0, 1, 2, 3, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 4, 2, 3, 0, 2, 3, 0, 4, 0, 0, 3, 2, 0, 4, 4, 1, 3, 1, 0, 3, 1, 4, 3, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 2, 3, 1, 2, 2, 4, 2, 3, 1, 3, 3, 0, 4, 0, 2, 4, 2, 3, 1, 3, 3, 4, 3, 0, 2, 2, 0, 0, 1, 4, 3, 4, 4, 3, 1, 1, 2, 0, 3, 3, 2, 0, 1, 3, 0, 3, 1, 2, 3, 3, 2, 1, 4, 2, 4, 1, 1, 0, 3, 0, 4, 3, 4, 1, 1, 4, 4, 1, 0, 1, 0, 4]
pubkeycol1074 = [1, 1, 3, 1, 0, 2, 4, 3, 3, 3, 0, 2, 1, 3, 3, 3, 3, 1, 1, 2, 3, 0, 2, 1, 4, 1, 3, 2, 4, 1, 0, 0, 0, 0, 2, 0, 3, 0, 0, 0, 4, 4, 1, 4, 2, 3, 1, 3, 3, 2, 1, 3, 0, 1, 4, 0, 4, 2, 3, 0, 4, 3, 3, 2, 2, 2, 4, 0, 0, 3, 2, 3, 4, 3, 1, 4, 3, 1, 3, 4, 1, 3, 3, 0, 1, 3, 0, 3, 0, 2, 3, 0, 0, 3, 3, 3, 2, 3, 3, 1, 4, 4, 3, 0, 1, 3, 1, 4, 4, 3, 3, 4, 3, 0, 4, 3, 1, 2, 2, 3, 2, 4, 0, 2, 4, 0, 2, 4, 0, 3, 4, 1, 4, 2, 1, 1, 1, 1, 3, 1, 3, 4, 1, 3, 2, 3, 1, 1, 1, 2, 0, 1, 3, 1, 1, 0, 0, 3, 4, 3, 4, 3, 3, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 4, 3, 1, 0, 4, 2, 0, 1, 3, 0, 1, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3, 2, 1, 0, 1, 0, 1, 2, 0, 2, 4, 4, 4, 0, 4, 4, 0, 3, 0, 1, 3, 4, 4, 3, 3, 3, 3, 2, 1, 3, 0, 1, 2, 1, 1, 0, 1, 1, 3, 2, 0, 4, 1, 3, 2, 0, 0, 3, 0, 1, 3, 1, 4, 2, 4, 0, 2, 0, 1, 4, 1, 4, 0, 1, 1, 0, 0, 3, 1, 3, 3, 1, 0, 3, 2, 4, 3, 0, 1, 0, 0, 1, 0, 3, 4, 0, 2, 0, 1, 1, 4, 1, 3, 2, 0, 2, 4, 2, 2, 1, 3, 3, 0, 4, 1, 4, 0, 4, 1, 1, 1, 1, 0, 3, 1, 4, 2, 1, 0, 4, 4, 1, 1, 2, 0, 1, 0, 0, 3, 0, 3, 3, 4, 1, 2, 2, 2, 3, 2, 4, 2, 3, 2, 4, 2, 4, 1, 0, 4, 0, 4, 4, 3, 1, 3, 1, 3, 1, 3, 0, 3, 2, 2, 3, 4, 0, 2, 1, 1, 3, 3, 3, 2, 3, 4, 4, 0, 3, 3, 2, 0, 0, 4, 3, 3, 1, 0, 2, 3, 2, 3, 1, 4, 0, 0, 4, 3, 2, 2, 0, 1, 1, 0, 0, 1, 2]
pubkeycol1075 = [3, 2, 3, 3, 1, 4, 2, 1, 2, 2, 3, 0, 2, 1, 0, 4, 4, 3, 3, 3, 4, 2, 3, 0, 3, 0, 3, 0, 0, 0, 4, 0, 2, 3, 4, 2, 0, 4, 1, 0, 0, 2, 0, 3, 3, 2, 4, 3, 3, 3, 1, 2, 3, 4, 2, 0, 4, 4, 4, 3, 3, 4, 1, 2, 1, 2, 1, 3, 2, 0, 1, 0, 0, 3, 1, 2, 2, 2, 4, 0, 3, 1, 3, 0, 0, 3, 2, 3, 0, 3, 0, 3, 1, 0, 2, 2, 3, 1, 1, 3, 4, 2, 1, 2, 1, 0, 1, 1, 4, 2, 1, 4, 4, 0, 0, 2, 0, 4, 4, 4, 3, 0, 2, 0, 2, 2, 0, 4, 2, 3, 1, 1, 1, 2, 0, 4, 0, 3, 3, 4, 0, 1, 4, 4, 1, 3, 2, 2, 1, 1, 3, 0, 0, 4, 3, 1, 3, 4, 1, 4, 3, 1, 0, 2, 2, 3, 1, 3, 4, 1, 4, 3, 4, 0, 3, 1, 0, 2, 1, 1, 2, 3, 0, 1, 1, 3, 1, 0, 0, 4, 3, 2, 4, 1, 1, 0, 0, 1, 0, 4, 4, 3, 2, 4, 4, 0, 2, 4, 1, 4, 4, 3, 3, 0, 2, 4, 0, 2, 4, 3, 4, 0, 4, 3, 0, 0, 3, 3, 0, 1, 4, 2, 1, 0, 3, 1, 3, 1, 4, 2, 1, 4, 3, 0, 0, 0, 2, 0, 4, 2, 2, 4, 1, 3, 2, 3, 2, 3, 4, 4, 0, 1, 1, 1, 3, 4, 2, 3, 4, 2, 2, 3, 4, 2, 4, 0, 4, 4, 2, 4, 3, 3, 2, 4, 4, 0, 4, 2, 2, 3, 3, 0, 3, 0, 4, 3, 2, 4, 0, 0, 2, 0, 0, 1, 3, 4, 0, 1, 3, 3, 2, 4, 0, 2, 3, 1, 3, 0, 1, 3, 1, 0, 2, 1, 0, 0, 0, 3, 2, 0, 4, 3, 1, 2, 0, 0, 3, 2, 0, 1, 3, 2, 2, 4, 4, 1, 3, 1, 2, 2, 0, 2, 4, 1, 4, 3, 3, 3, 0, 4, 1, 1, 4, 4, 1, 3, 1, 4, 0, 3, 4, 1, 3, 3, 3, 1, 1, 2, 0, 0, 2, 1, 4, 4, 4, 1, 3, 3, 2, 3, 3, 0, 3, 1, 1, 4, 1, 1, 0, 3]
pubkeycol1076 = [0, 0, 2, 2, 0, 2, 2, 2, 3, 4, 1, 2, 2, 2, 2, 3, 3, 1, 2, 1, 4, 3, 3, 3, 0, 0, 0, 0, 4, 2, 0, 1, 0, 2, 0, 1, 1, 1, 3, 0, 0, 4, 4, 0, 4, 1, 4, 2, 2, 0, 0, 0, 4, 0, 4, 0, 1, 3, 4, 4, 3, 3, 0, 0, 4, 2, 3, 2, 2, 0, 0, 0, 3, 0, 3, 1, 1, 3, 4, 0, 3, 4, 0, 2, 0, 0, 3, 1, 0, 1, 3, 0, 2, 3, 1, 3, 3, 1, 4, 1, 2, 2, 0, 2, 1, 4, 1, 4, 0, 0, 4, 2, 2, 2, 2, 4, 3, 1, 2, 3, 4, 3, 4, 4, 3, 3, 0, 2, 2, 0, 3, 2, 4, 0, 2, 1, 3, 1, 4, 1, 1, 4, 0, 2, 2, 0, 0, 4, 0, 1, 3, 1, 3, 1, 4, 0, 3, 4, 2, 0, 3, 3, 2, 3, 4, 4, 1, 0, 0, 1, 2, 4, 3, 1, 2, 0, 4, 1, 1, 3, 0, 2, 2, 2, 4, 2, 3, 4, 3, 3, 4, 1, 0, 3, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 2, 3, 1, 1, 4, 2, 1, 2, 3, 3, 2, 0, 3, 3, 4, 2, 4, 4, 3, 3, 2, 4, 4, 3, 1, 2, 4, 3, 2, 2, 1, 4, 1, 0, 2, 2, 2, 1, 1, 2, 3, 1, 1, 0, 4, 2, 1, 4, 1, 3, 1, 0, 0, 3, 1, 1, 2, 1, 4, 0, 0, 0, 1, 1, 2, 1, 2, 3, 3, 1, 4, 3, 0, 2, 1, 1, 4, 3, 0, 1, 3, 2, 4, 0, 1, 4, 4, 0, 2, 2, 4, 4, 1, 1, 1, 0, 4, 2, 1, 4, 4, 3, 2, 1, 2, 2, 1, 1, 0, 0, 0, 4, 0, 0, 1, 4, 2, 1, 4, 2, 0, 2, 2, 1, 0, 3, 0, 4, 0, 1, 2, 3, 0, 3, 0, 2, 3, 3, 0, 4, 0, 4, 1, 3, 3, 1, 1, 2, 2, 0, 0, 3, 2, 1, 1, 2, 4, 3, 2, 2, 2, 1, 3, 2, 3, 1, 2, 4, 2, 3, 3, 4, 3, 1, 1, 3, 4, 1, 4, 3, 0, 2, 3, 0, 2, 2, 2, 3, 0, 1, 1, 3, 2, 4, 2, 0]
pubkeycol1077 = [1, 2, 3, 3, 0, 1, 3, 4, 1, 3, 2, 0, 1, 2, 4, 2, 1, 0, 0, 1, 2, 2, 3, 4, 3, 4, 3, 4, 1, 1, 4, 3, 3, 1, 2, 1, 2, 4, 3, 4, 4, 3, 0, 4, 3, 0, 1, 3, 3, 4, 3, 0, 2, 2, 0, 1, 0, 3, 3, 0, 1, 2, 0, 3, 2, 4, 1, 4, 1, 1, 4, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 3, 3, 3, 4, 2, 3, 1, 4, 4, 1, 0, 1, 4, 2, 2, 4, 0, 2, 4, 4, 1, 3, 0, 1, 4, 3, 2, 1, 0, 2, 4, 4, 3, 1, 1, 4, 1, 3, 2, 2, 4, 3, 0, 2, 0, 1, 1, 0, 3, 4, 4, 0, 2, 3, 4, 1, 0, 2, 1, 1, 2, 4, 4, 1, 4, 3, 4, 4, 3, 4, 4, 4, 2, 3, 0, 4, 3, 4, 1, 4, 3, 4, 4, 2, 2, 2, 2, 3, 3, 0, 0, 1, 0, 3, 0, 2, 4, 0, 3, 4, 3, 0, 2, 1, 4, 4, 2, 4, 2, 0, 3, 3, 4, 2, 0, 3, 2, 3, 3, 0, 1, 2, 4, 4, 3, 1, 0, 2, 2, 1, 4, 0, 4, 1, 4, 0, 0, 2, 1, 4, 4, 1, 1, 4, 1, 4, 2, 1, 4, 3, 4, 0, 1, 2, 2, 3, 4, 3, 1, 2, 2, 1, 3, 3, 2, 1, 2, 3, 1, 2, 0, 1, 1, 3, 3, 1, 4, 2, 4, 1, 3, 3, 0, 0, 1, 0, 3, 4, 1, 2, 0, 0, 3, 0, 0, 4, 2, 0, 0, 3, 0, 4, 2, 3, 0, 0, 2, 2, 4, 2, 4, 1, 1, 1, 4, 1, 0, 4, 4, 4, 4, 2, 4, 3, 3, 0, 2, 4, 4, 1, 4, 4, 1, 3, 1, 3, 0, 1, 2, 1, 2, 1, 0, 1, 3, 1, 0, 2, 3, 2, 3, 4, 3, 3, 4, 2, 3, 1, 3, 2, 3, 2, 2, 4, 3, 1, 3, 2, 3, 0, 2, 2, 0, 4, 0, 4, 3, 0, 1, 3, 1, 2, 2, 0, 1, 3, 0, 3, 2, 4, 0, 0, 2, 1, 1, 2, 3, 2, 0, 3, 4, 4, 0, 1, 2, 1, 4, 0]
pubkeycol1078 = [2, 0, 0, 1, 4, 0, 4, 0, 2, 4, 0, 0, 0, 0, 3, 1, 1, 4, 2, 3, 2, 0, 0, 1, 0, 1, 4, 0, 3, 1, 3, 1, 2, 4, 2, 0, 4, 3, 2, 2, 0, 4, 0, 3, 1, 2, 1, 1, 2, 4, 4, 1, 0, 1, 2, 1, 3, 2, 1, 4, 2, 4, 4, 3, 4, 2, 0, 3, 3, 4, 4, 2, 0, 3, 3, 1, 4, 4, 1, 0, 1, 0, 0, 4, 3, 3, 0, 0, 2, 4, 0, 1, 2, 2, 3, 2, 0, 3, 4, 1, 4, 3, 4, 4, 3, 2, 2, 4, 4, 1, 2, 0, 2, 1, 3, 2, 0, 3, 2, 3, 3, 0, 2, 4, 0, 4, 2, 2, 0, 3, 0, 1, 3, 2, 0, 2, 2, 3, 0, 3, 2, 4, 2, 1, 0, 3, 1, 1, 2, 1, 3, 2, 0, 4, 0, 0, 2, 4, 0, 1, 2, 1, 3, 3, 0, 1, 1, 4, 0, 4, 4, 4, 3, 1, 1, 1, 2, 3, 1, 4, 1, 3, 0, 4, 3, 1, 3, 3, 4, 4, 0, 4, 1, 4, 4, 3, 1, 3, 2, 2, 4, 3, 0, 4, 0, 1, 3, 2, 0, 0, 3, 3, 1, 3, 1, 1, 0, 1, 2, 3, 2, 0, 1, 3, 3, 4, 1, 0, 0, 4, 2, 0, 3, 2, 2, 4, 4, 1, 2, 3, 2, 1, 0, 4, 3, 2, 4, 4, 1, 3, 3, 1, 0, 2, 1, 3, 3, 0, 4, 3, 1, 1, 1, 0, 4, 4, 1, 1, 1, 4, 2, 1, 3, 1, 4, 3, 0, 4, 2, 1, 1, 4, 4, 2, 4, 4, 1, 1, 1, 2, 3, 0, 2, 4, 1, 1, 1, 3, 3, 4, 2, 3, 4, 0, 3, 1, 1, 3, 2, 4, 3, 3, 3, 0, 4, 0, 3, 0, 4, 4, 2, 1, 4, 2, 1, 1, 0, 1, 3, 1, 1, 3, 3, 4, 4, 0, 2, 4, 4, 0, 2, 2, 1, 0, 2, 3, 2, 0, 1, 2, 0, 3, 3, 3, 1, 3, 2, 4, 4, 3, 4, 2, 2, 0, 3, 2, 1, 4, 4, 2, 4, 3, 2, 4, 1, 3, 0, 3, 1, 2, 1, 0, 3, 4, 0, 2, 4, 4, 1, 2, 0, 0, 1, 4, 0, 2, 0, 4, 0, 1]
pubkeycol1079 = [4, 1, 4, 1, 2, 0, 4, 1, 0, 1, 0, 4, 3, 1, 0, 2, 4, 1, 4, 3, 2, 4, 3, 0, 1, 0, 3, 4, 2, 2, 4, 1, 4, 3, 1, 3, 4, 2, 0, 3, 2, 2, 2, 2, 2, 2, 4, 0, 0, 1, 1, 3, 4, 2, 1, 0, 2, 4, 1, 2, 1, 4, 4, 3, 1, 0, 0, 2, 3, 3, 1, 0, 0, 0, 2, 1, 1, 3, 3, 4, 0, 3, 4, 4, 0, 0, 0, 0, 0, 0, 4, 2, 4, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 4, 1, 2, 0, 0, 0, 3, 0, 4, 2, 4, 2, 3, 2, 0, 2, 2, 0, 4, 3, 1, 0, 1, 4, 2, 1, 0, 3, 0, 1, 3, 1, 4, 4, 3, 2, 4, 0, 3, 0, 4, 2, 4, 3, 1, 0, 4, 1, 0, 2, 2, 0, 3, 0, 3, 0, 0, 2, 4, 2, 2, 4, 0, 4, 1, 0, 1, 0, 4, 3, 3, 1, 3, 4, 3, 4, 2, 2, 2, 3, 1, 2, 2, 3, 4, 2, 2, 0, 3, 3, 1, 4, 2, 3, 0, 2, 0, 2, 1, 3, 2, 0, 1, 1, 4, 4, 1, 4, 0, 2, 1, 0, 0, 3, 3, 2, 0, 4, 2, 4, 0, 1, 1, 3, 1, 3, 4, 1, 4, 4, 0, 3, 4, 3, 3, 4, 4, 0, 2, 3, 3, 2, 3, 0, 0, 1, 4, 1, 2, 3, 4, 4, 3, 2, 2, 2, 3, 4, 2, 4, 1, 1, 0, 2, 4, 3, 1, 1, 0, 2, 4, 1, 0, 4, 0, 2, 3, 4, 2, 1, 4, 4, 4, 3, 3, 0, 4, 3, 2, 1, 1, 4, 1, 4, 3, 3, 4, 4, 0, 2, 1, 2, 3, 1, 4, 3, 4, 0, 1, 3, 3, 4, 2, 2, 0, 1, 4, 1, 4, 4, 0, 2, 1, 2, 4, 0, 3, 3, 2, 0, 1, 2, 1, 3, 2, 0, 4, 3, 3, 4, 3, 0, 1, 4, 1, 4, 2, 0, 2, 1, 2, 4, 1, 3, 2, 3, 2, 0, 3, 0, 3, 2, 4, 2, 2, 3, 4, 3, 4, 2, 1, 1, 4, 3, 2, 2, 3, 3, 3, 3, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 3, 0, 3]
pubkeycol1080 = [2, 3, 0, 4, 0, 3, 2, 1, 1, 0, 1, 3, 1, 2, 3, 3, 3, 3, 3, 1, 2, 4, 4, 4, 4, 3, 0, 1, 1, 0, 2, 3, 3, 4, 3, 4, 2, 0, 4, 4, 4, 0, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 1, 3, 4, 4, 1, 3, 0, 3, 3, 3, 4, 0, 3, 0, 0, 2, 3, 3, 3, 1, 0, 2, 1, 3, 0, 0, 0, 4, 1, 3, 2, 4, 2, 2, 2, 3, 4, 0, 0, 3, 2, 1, 4, 4, 0, 4, 1, 1, 3, 4, 2, 2, 2, 0, 4, 0, 1, 2, 1, 0, 2, 4, 4, 3, 2, 4, 0, 3, 0, 1, 0, 4, 2, 4, 0, 2, 2, 0, 4, 3, 4, 1, 1, 0, 1, 3, 0, 3, 0, 1, 0, 1, 4, 4, 4, 3, 3, 4, 0, 1, 3, 4, 0, 1, 1, 2, 1, 4, 2, 4, 2, 2, 3, 1, 3, 1, 3, 4, 3, 1, 3, 4, 2, 3, 0, 1, 2, 4, 4, 0, 4, 4, 0, 1, 0, 3, 3, 0, 2, 0, 0, 3, 0, 0, 3, 3, 3, 0, 1, 1, 3, 0, 3, 3, 3, 0, 2, 4, 3, 1, 0, 0, 2, 4, 3, 4, 4, 1, 4, 0, 4, 1, 1, 1, 3, 4, 0, 0, 3, 0, 3, 0, 3, 2, 1, 1, 1, 1, 2, 1, 2, 0, 3, 1, 3, 1, 1, 1, 1, 0, 4, 0, 1, 1, 3, 4, 3, 0, 3, 4, 2, 3, 0, 0, 0, 0, 0, 2, 2, 4, 3, 4, 0, 4, 4, 4, 4, 2, 3, 0, 4, 2, 3, 1, 2, 0, 1, 0, 3, 1, 1, 2, 3, 1, 0, 2, 3, 2, 0, 4, 2, 0, 1, 4, 4, 3, 4, 1, 4, 2, 0, 2, 0, 4, 2, 2, 1, 4, 1, 1, 4, 3, 0, 4, 3, 1, 0, 0, 0, 3, 3, 4, 2, 2, 3, 1, 0, 4, 4, 0, 4, 3, 0, 2, 3, 0, 3, 0, 2, 2, 0, 1, 3, 0, 2, 1, 4, 3, 1, 4, 4, 4, 2, 1, 0, 4, 0, 4, 1, 2, 4, 1, 2, 3, 3, 4, 2, 0, 2, 1, 3, 0, 1, 2, 3, 0, 0, 0, 3, 3, 3, 0, 1, 1, 4, 0, 3, 0]
pubkeycol1081 = [3, 1, 1, 2, 4, 0, 1, 3, 3, 0, 0, 1, 2, 4, 4, 4, 1, 3, 3, 4, 4, 3, 0, 4, 4, 4, 2, 0, 3, 1, 3, 0, 3, 4, 3, 2, 0, 1, 4, 3, 2, 0, 3, 3, 2, 3, 3, 3, 2, 2, 4, 3, 1, 2, 4, 1, 0, 4, 4, 0, 4, 2, 4, 3, 3, 4, 0, 0, 0, 3, 1, 2, 1, 1, 1, 2, 4, 3, 2, 4, 0, 3, 1, 3, 2, 1, 3, 2, 0, 1, 3, 0, 2, 2, 2, 1, 3, 2, 2, 2, 0, 0, 2, 2, 4, 0, 3, 3, 2, 0, 1, 4, 0, 4, 4, 0, 2, 4, 3, 2, 3, 3, 0, 4, 1, 0, 2, 3, 0, 3, 0, 1, 3, 2, 0, 0, 0, 1, 4, 1, 2, 3, 4, 3, 1, 0, 1, 1, 1, 4, 3, 0, 2, 0, 3, 4, 2, 0, 2, 2, 1, 2, 1, 1, 2, 3, 3, 1, 4, 3, 2, 4, 1, 3, 4, 1, 0, 4, 3, 1, 3, 4, 4, 4, 4, 3, 0, 1, 4, 1, 4, 1, 2, 3, 0, 2, 1, 4, 0, 1, 0, 1, 0, 0, 1, 1, 4, 1, 4, 1, 0, 0, 3, 2, 0, 2, 0, 1, 4, 1, 2, 0, 0, 0, 0, 4, 0, 3, 2, 3, 0, 0, 1, 0, 3, 1, 1, 2, 0, 4, 3, 2, 2, 0, 2, 0, 1, 2, 3, 4, 4, 2, 3, 0, 1, 0, 1, 2, 4, 4, 0, 0, 3, 4, 4, 0, 3, 4, 2, 4, 4, 0, 0, 2, 3, 0, 0, 2, 1, 2, 2, 0, 0, 4, 3, 3, 2, 4, 1, 2, 3, 4, 4, 2, 3, 4, 1, 1, 3, 4, 3, 1, 4, 4, 4, 4, 3, 4, 2, 1, 0, 2, 3, 2, 2, 4, 1, 3, 2, 0, 3, 4, 0, 4, 0, 3, 3, 2, 0, 4, 0, 2, 1, 2, 3, 3, 2, 1, 2, 3, 1, 1, 4, 1, 1, 1, 3, 3, 4, 4, 2, 0, 2, 2, 2, 3, 1, 0, 2, 3, 1, 1, 1, 4, 2, 3, 2, 4, 0, 0, 3, 3, 1, 1, 2, 2, 0, 1, 2, 3, 0, 1, 2, 2, 4, 0, 1, 0, 2, 3, 4, 0, 3, 4, 1, 4, 1, 0, 2, 1]
pubkeycol1082 = [0, 1, 0, 2, 4, 1, 2, 0, 4, 2, 3, 3, 0, 2, 1, 2, 2, 0, 3, 0, 4, 3, 2, 0, 3, 1, 1, 0, 2, 4, 0, 4, 4, 2, 2, 0, 0, 3, 4, 4, 4, 0, 4, 1, 0, 1, 0, 0, 3, 3, 1, 2, 3, 2, 1, 0, 2, 2, 2, 2, 3, 1, 4, 4, 0, 0, 4, 0, 0, 2, 4, 3, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 4, 3, 4, 4, 2, 4, 0, 1, 0, 3, 2, 4, 4, 3, 4, 0, 3, 4, 1, 0, 0, 1, 3, 3, 1, 2, 4, 4, 2, 0, 1, 3, 0, 0, 2, 0, 1, 3, 4, 1, 0, 2, 1, 4, 1, 4, 1, 2, 4, 0, 0, 2, 1, 1, 3, 1, 1, 1, 0, 1, 0, 4, 0, 0, 0, 3, 4, 2, 4, 3, 2, 4, 4, 0, 0, 3, 3, 1, 3, 3, 3, 2, 1, 2, 1, 3, 0, 2, 4, 4, 4, 3, 4, 2, 4, 3, 2, 1, 0, 2, 3, 1, 0, 2, 4, 4, 4, 0, 1, 0, 2, 3, 0, 0, 1, 2, 3, 1, 4, 2, 2, 0, 2, 0, 4, 3, 4, 3, 3, 2, 2, 2, 3, 0, 2, 0, 0, 3, 1, 3, 4, 2, 3, 4, 1, 0, 1, 0, 4, 0, 0, 4, 3, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 4, 2, 0, 0, 3, 0, 3, 1, 1, 4, 3, 1, 4, 0, 3, 3, 3, 0, 0, 4, 2, 1, 2, 2, 0, 4, 2, 2, 4, 2, 1, 1, 3, 0, 4, 4, 0, 1, 2, 1, 3, 3, 1, 0, 4, 0, 4, 1, 0, 2, 1, 2, 0, 1, 3, 0, 3, 2, 2, 2, 0, 0, 0, 3, 4, 2, 2, 4, 3, 0, 2, 4, 4, 3, 3, 4, 0, 3, 4, 0, 3, 4, 3, 1, 0, 0, 1, 0, 2, 4, 3, 3, 0, 3, 3, 2, 2, 2, 2, 2, 0, 2, 2, 4, 3, 0, 1, 0, 0, 3, 1, 0, 3, 2, 3, 2, 1, 2, 1, 0, 2, 2, 0, 4, 2, 2, 1, 4, 4, 2, 2, 2, 1, 2, 2, 1, 1, 4, 0, 4, 0, 3, 2, 1, 2, 0, 3, 1, 4, 1, 2, 1, 0]
pubkeycol1083 = [1, 0, 4, 2, 0, 2, 0, 2, 3, 4, 0, 0, 3, 2, 2, 3, 0, 3, 2, 4, 2, 2, 0, 1, 2, 0, 3, 4, 3, 1, 0, 4, 1, 3, 1, 1, 2, 2, 2, 1, 4, 0, 1, 0, 0, 1, 2, 1, 2, 3, 3, 3, 4, 4, 0, 4, 1, 0, 2, 0, 4, 4, 0, 3, 4, 1, 2, 0, 3, 3, 0, 0, 3, 1, 3, 3, 3, 4, 4, 4, 0, 3, 4, 2, 0, 4, 4, 1, 3, 0, 4, 1, 0, 3, 3, 1, 3, 4, 1, 4, 1, 3, 0, 0, 0, 2, 4, 1, 3, 4, 1, 1, 2, 2, 1, 4, 3, 3, 0, 0, 4, 1, 4, 0, 2, 1, 2, 0, 1, 4, 4, 0, 3, 0, 3, 4, 2, 2, 0, 1, 0, 2, 4, 0, 3, 3, 3, 1, 3, 2, 4, 3, 3, 1, 3, 1, 3, 3, 1, 3, 2, 1, 4, 2, 2, 4, 2, 1, 1, 1, 0, 3, 1, 2, 1, 3, 2, 0, 2, 0, 1, 1, 1, 4, 2, 3, 4, 4, 3, 4, 1, 4, 3, 2, 3, 3, 4, 3, 0, 0, 2, 3, 2, 1, 1, 3, 4, 1, 2, 2, 2, 1, 4, 1, 4, 3, 0, 3, 0, 4, 0, 1, 1, 3, 4, 2, 2, 3, 1, 3, 0, 2, 1, 0, 1, 3, 4, 4, 0, 1, 3, 2, 2, 4, 3, 4, 0, 4, 1, 0, 0, 2, 3, 3, 2, 1, 3, 3, 4, 3, 0, 1, 4, 2, 4, 3, 1, 4, 4, 2, 3, 0, 4, 4, 0, 0, 0, 2, 1, 4, 2, 2, 3, 0, 0, 4, 3, 2, 1, 0, 1, 3, 2, 1, 0, 4, 1, 4, 3, 2, 2, 0, 3, 0, 4, 0, 2, 4, 0, 4, 2, 0, 3, 1, 2, 0, 1, 4, 1, 1, 3, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 1, 4, 3, 4, 2, 2, 1, 4, 0, 4, 2, 3, 1, 2, 3, 2, 4, 1, 4, 0, 3, 1, 0, 0, 1, 1, 1, 4, 1, 4, 2, 1, 2, 2, 3, 4, 4, 2, 0, 2, 3, 3, 4, 3, 1, 0, 2, 0, 2, 0, 2, 0, 1, 4, 0, 1, 0, 2, 1, 3, 3, 4, 1, 2, 2, 0, 0, 0, 2]
pubkeycol1084 = [0, 4, 2, 0, 0, 0, 4, 4, 2, 4, 1, 0, 4, 0, 0, 2, 4, 3, 2, 2, 2, 4, 4, 2, 0, 4, 3, 3, 4, 4, 1, 1, 1, 4, 4, 2, 2, 3, 2, 1, 4, 0, 0, 4, 4, 1, 3, 0, 4, 3, 1, 3, 3, 3, 4, 2, 0, 4, 1, 3, 2, 3, 4, 4, 0, 3, 1, 4, 4, 2, 4, 3, 0, 0, 1, 3, 0, 4, 2, 4, 3, 4, 3, 1, 2, 1, 4, 4, 1, 2, 0, 4, 4, 1, 3, 3, 0, 1, 1, 1, 3, 1, 3, 3, 4, 4, 0, 0, 0, 4, 2, 1, 4, 0, 2, 1, 3, 2, 4, 1, 2, 4, 3, 3, 4, 1, 4, 1, 3, 1, 1, 0, 0, 4, 1, 3, 2, 3, 0, 0, 1, 2, 0, 4, 3, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 4, 3, 0, 2, 4, 0, 1, 0, 0, 3, 0, 2, 1, 3, 1, 2, 4, 3, 1, 0, 2, 0, 3, 0, 1, 0, 4, 1, 0, 1, 4, 4, 0, 0, 3, 2, 4, 3, 0, 1, 2, 0, 4, 3, 3, 4, 4, 1, 0, 2, 0, 0, 4, 2, 1, 4, 2, 3, 4, 1, 0, 1, 0, 0, 4, 3, 1, 1, 3, 4, 1, 1, 4, 0, 4, 1, 0, 3, 2, 0, 0, 0, 4, 1, 1, 1, 2, 1, 4, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 4, 2, 0, 2, 2, 1, 4, 2, 0, 1, 2, 4, 1, 4, 4, 1, 4, 3, 0, 2, 2, 2, 2, 0, 4, 4, 4, 2, 4, 1, 2, 3, 3, 4, 4, 4, 1, 1, 1, 2, 4, 2, 0, 4, 2, 2, 3, 1, 3, 2, 1, 2, 4, 1, 3, 0, 4, 1, 4, 2, 2, 4, 3, 1, 3, 0, 3, 3, 2, 1, 4, 3, 0, 1, 4, 0, 2, 1, 2, 0, 4, 2, 2, 2, 0, 3, 0, 4, 4, 0, 4, 1, 4, 3, 2, 2, 1, 3, 4, 3, 3, 1, 3, 0, 1, 4, 0, 4, 3, 3, 2, 3, 1, 2, 4, 2, 0, 4, 2, 2, 1, 2, 2, 0, 0, 3, 0, 2, 0, 1, 4, 2, 3, 4, 4, 4, 0, 0, 4, 2, 3, 0, 0, 2, 2, 1]
pubkeycol1085 = [0, 2, 0, 4, 4, 3, 3, 2, 3, 4, 1, 1, 0, 4, 2, 0, 3, 1, 4, 0, 0, 1, 2, 3, 2, 3, 3, 4, 4, 0, 0, 2, 1, 3, 1, 3, 0, 0, 1, 3, 3, 1, 1, 2, 4, 2, 4, 3, 2, 1, 1, 2, 1, 4, 1, 1, 3, 3, 1, 1, 2, 2, 0, 1, 4, 4, 0, 4, 2, 3, 4, 2, 3, 3, 3, 3, 3, 2, 1, 4, 2, 4, 2, 3, 0, 2, 4, 2, 2, 4, 0, 2, 2, 1, 3, 4, 4, 3, 4, 1, 0, 2, 4, 4, 1, 0, 2, 2, 1, 1, 3, 3, 3, 1, 2, 1, 0, 1, 0, 4, 2, 3, 1, 2, 0, 3, 0, 4, 4, 3, 4, 3, 1, 0, 0, 0, 3, 1, 1, 2, 3, 2, 1, 3, 2, 3, 4, 0, 2, 3, 0, 1, 3, 2, 1, 0, 2, 3, 2, 3, 2, 0, 4, 1, 2, 2, 4, 2, 4, 4, 1, 0, 2, 2, 2, 3, 2, 0, 4, 4, 4, 4, 1, 3, 4, 3, 3, 1, 0, 1, 0, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 3, 4, 0, 2, 2, 4, 1, 2, 2, 4, 0, 1, 4, 3, 0, 0, 0, 2, 3, 0, 3, 0, 0, 1, 4, 1, 3, 1, 2, 1, 0, 3, 2, 2, 0, 0, 2, 3, 3, 3, 4, 4, 3, 2, 4, 2, 0, 0, 2, 0, 1, 0, 3, 4, 1, 0, 1, 3, 0, 1, 2, 1, 3, 4, 1, 2, 2, 2, 3, 4, 1, 1, 2, 4, 3, 0, 1, 4, 1, 0, 3, 1, 1, 2, 2, 2, 0, 4, 4, 0, 2, 4, 2, 4, 3, 3, 3, 2, 4, 0, 1, 1, 4, 4, 0, 4, 1, 4, 3, 0, 0, 2, 1, 2, 3, 3, 4, 0, 3, 4, 0, 0, 0, 3, 3, 2, 4, 3, 4, 2, 3, 1, 2, 4, 4, 0, 4, 2, 1, 3, 1, 3, 1, 4, 0, 1, 3, 0, 0, 4, 1, 1, 1, 4, 3, 2, 2, 4, 4, 3, 0, 2, 3, 2, 1, 2, 4, 4, 4, 0, 2, 2, 2, 0, 2, 4, 0, 2, 4, 1, 1, 1, 4, 2, 2, 1, 4, 4, 4, 1, 0, 4, 0, 3, 1, 4, 2, 3, 0]
pubkeycol1086 = [2, 4, 2, 2, 0, 1, 1, 0, 4, 4, 1, 0, 2, 3, 3, 0, 2, 0, 0, 3, 4, 2, 4, 2, 4, 2, 4, 0, 0, 4, 1, 0, 0, 0, 2, 4, 2, 1, 0, 1, 2, 4, 1, 3, 4, 1, 4, 0, 1, 4, 0, 0, 0, 3, 2, 3, 4, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 0, 0, 4, 1, 0, 4, 1, 0, 3, 1, 3, 4, 1, 0, 0, 3, 2, 1, 0, 4, 2, 2, 2, 1, 3, 3, 0, 2, 3, 3, 3, 4, 1, 4, 1, 4, 1, 0, 1, 4, 3, 0, 4, 0, 2, 3, 0, 2, 4, 2, 3, 3, 1, 3, 0, 1, 3, 2, 2, 0, 4, 1, 0, 1, 1, 4, 4, 1, 3, 4, 3, 4, 4, 1, 3, 0, 3, 1, 2, 1, 0, 0, 2, 4, 1, 3, 3, 0, 0, 1, 1, 2, 0, 1, 3, 4, 1, 3, 3, 3, 4, 3, 0, 1, 2, 4, 3, 4, 0, 0, 4, 4, 1, 1, 0, 4, 3, 3, 4, 1, 3, 2, 4, 4, 1, 0, 1, 4, 3, 2, 4, 0, 1, 0, 0, 2, 3, 2, 4, 4, 2, 2, 4, 3, 1, 1, 2, 0, 4, 1, 0, 1, 1, 4, 3, 1, 4, 4, 1, 2, 1, 4, 3, 4, 2, 2, 4, 2, 2, 1, 2, 4, 3, 1, 2, 2, 4, 0, 3, 2, 2, 2, 4, 3, 3, 1, 4, 4, 2, 0, 4, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 2, 3, 2, 1, 0, 1, 0, 4, 3, 3, 0, 1, 2, 3, 4, 3, 0, 0, 0, 3, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 3, 1, 0, 3, 0, 4, 2, 1, 1, 1, 4, 4, 1, 4, 0, 1, 0, 2, 0, 3, 1, 1, 3, 1, 2, 3, 2, 2, 3, 3, 1, 2, 0, 2, 4, 3, 3, 2, 0, 0, 4, 2, 1, 2, 1, 3, 3, 0, 0, 2, 0, 4, 0, 2, 1, 3, 4, 4, 1, 0, 3, 2, 4, 2, 3, 1, 0, 2, 3, 2, 4, 1, 2, 3, 4, 2, 1, 2, 1, 0, 3, 4, 0, 2, 3, 1, 0, 1, 4, 0, 0, 0, 1, 2, 0]
pubkeycol1087 = [4, 0, 0, 3, 4, 4, 1, 2, 1, 3, 2, 1, 2, 4, 2, 0, 3, 2, 2, 3, 4, 3, 1, 0, 3, 4, 4, 4, 3, 2, 2, 2, 0, 0, 0, 1, 1, 2, 3, 0, 4, 1, 1, 2, 4, 1, 2, 3, 1, 2, 4, 4, 0, 4, 0, 0, 2, 0, 3, 2, 0, 0, 2, 3, 3, 2, 1, 3, 3, 2, 0, 4, 4, 4, 1, 3, 4, 0, 3, 3, 1, 2, 3, 1, 3, 0, 4, 2, 3, 1, 4, 2, 2, 3, 3, 4, 0, 4, 0, 0, 4, 4, 0, 4, 3, 4, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 4, 3, 4, 4, 2, 0, 2, 4, 2, 4, 1, 2, 2, 1, 2, 2, 2, 3, 4, 2, 2, 0, 2, 0, 4, 0, 1, 0, 3, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 3, 0, 0, 2, 1, 4, 3, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 4, 0, 2, 4, 2, 0, 4, 2, 1, 2, 4, 3, 0, 2, 1, 4, 0, 0, 1, 4, 0, 1, 2, 2, 0, 3, 2, 3, 3, 4, 0, 4, 2, 4, 3, 0, 3, 3, 1, 3, 0, 3, 3, 4, 4, 1, 0, 0, 2, 3, 4, 1, 1, 1, 2, 2, 3, 3, 3, 0, 1, 0, 1, 0, 2, 1, 4, 4, 4, 1, 3, 0, 4, 1, 4, 0, 2, 1, 1, 4, 1, 0, 0, 1, 2, 2, 2, 3, 1, 2, 3, 1, 4, 2, 2, 1, 4, 4, 2, 1, 0, 2, 3, 1, 1, 0, 3, 2, 4, 3, 2, 1, 4, 2, 3, 3, 2, 4, 0, 1, 1, 1, 3, 1, 1, 4, 4, 4, 2, 1, 1, 0, 3, 4, 2, 0, 4, 1, 2, 1, 0, 0, 0, 1, 3, 3, 4, 1, 0, 0, 1, 2, 4, 2, 3, 2, 0, 2, 0, 4, 1, 2, 4, 1, 4, 0, 0, 0, 1, 3, 4, 3, 4, 2, 1, 0, 0, 0, 0, 3, 1, 1, 2, 1, 2, 3, 0, 3, 1, 3, 4, 4, 4, 4, 2, 2, 0, 0, 2, 2, 4, 4, 4, 3, 4, 3, 2, 3, 1, 2, 3, 0, 0, 0, 0, 3, 3, 2, 4, 0, 0, 3, 0, 2, 4, 2, 0]
pubkeycol1088 = [3, 3, 4, 3, 1, 3, 2, 1, 1, 1, 3, 4, 4, 1, 3, 4, 0, 3, 1, 0, 4, 0, 0, 2, 0, 1, 0, 1, 1, 3, 1, 3, 2, 0, 1, 3, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 4, 3, 0, 3, 0, 1, 4, 1, 2, 2, 2, 0, 4, 2, 2, 3, 2, 2, 4, 3, 3, 3, 0, 3, 1, 3, 2, 4, 3, 3, 3, 4, 4, 4, 0, 2, 1, 2, 1, 3, 1, 0, 2, 0, 2, 4, 2, 4, 0, 2, 3, 4, 0, 2, 2, 2, 1, 1, 4, 2, 2, 1, 3, 1, 2, 4, 0, 3, 3, 3, 2, 3, 0, 2, 4, 1, 4, 4, 4, 1, 1, 2, 2, 2, 1, 2, 2, 1, 4, 3, 3, 1, 3, 4, 2, 4, 4, 4, 0, 0, 4, 4, 3, 0, 1, 3, 1, 1, 2, 4, 2, 2, 3, 3, 1, 4, 1, 3, 0, 3, 2, 2, 1, 0, 1, 0, 0, 1, 2, 3, 1, 1, 4, 3, 2, 0, 4, 3, 3, 0, 3, 0, 1, 3, 2, 2, 4, 3, 3, 0, 3, 2, 2, 1, 1, 4, 4, 0, 1, 1, 0, 1, 3, 0, 1, 3, 0, 2, 1, 4, 0, 4, 4, 4, 3, 4, 4, 4, 0, 2, 1, 2, 1, 1, 0, 3, 1, 0, 3, 0, 1, 0, 2, 1, 0, 4, 2, 2, 2, 0, 3, 1, 2, 3, 4, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 3, 4, 3, 0, 2, 3, 3, 1, 3, 4, 2, 1, 4, 1, 0, 2, 3, 1, 2, 2, 4, 2, 1, 3, 0, 0, 1, 0, 3, 3, 1, 2, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 0, 3, 3, 3, 1, 1, 3, 1, 0, 3, 4, 4, 1, 2, 4, 3, 3, 4, 1, 1, 1, 3, 3, 1, 3, 1, 3, 0, 3, 3, 4, 2, 4, 1, 0, 1, 3, 2, 2, 2, 1, 1, 1, 2, 2, 1, 4, 0, 4, 2, 3, 1, 1, 2, 1, 0, 3, 2, 1, 3, 2, 2, 4, 1, 1, 3, 2, 1, 2, 0, 1, 4, 1, 3, 1, 4, 2, 0, 0, 4, 1, 2, 1, 3, 4, 4, 3, 3, 3, 1, 0, 1, 1, 0]
pubkeycol1089 = [2, 4, 2, 2, 4, 2, 4, 1, 4, 2, 1, 1, 1, 4, 4, 1, 1, 3, 1, 3, 3, 3, 0, 0, 0, 1, 3, 1, 1, 2, 2, 3, 1, 2, 2, 1, 3, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 3, 2, 4, 4, 0, 0, 4, 0, 2, 0, 4, 2, 3, 2, 2, 0, 1, 1, 0, 2, 2, 2, 4, 0, 0, 0, 3, 1, 1, 4, 0, 4, 4, 1, 2, 4, 1, 1, 1, 1, 1, 4, 4, 1, 2, 2, 2, 4, 1, 1, 2, 3, 2, 1, 3, 4, 2, 4, 4, 2, 0, 1, 4, 3, 0, 3, 4, 0, 3, 3, 0, 2, 4, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 0, 2, 2, 1, 3, 4, 3, 2, 3, 4, 4, 4, 0, 2, 2, 1, 2, 4, 1, 2, 3, 2, 1, 0, 0, 0, 2, 3, 4, 3, 4, 2, 4, 4, 1, 1, 4, 3, 3, 4, 0, 1, 0, 2, 0, 2, 2, 3, 3, 1, 2, 4, 3, 2, 0, 3, 1, 2, 4, 1, 2, 0, 2, 2, 4, 2, 4, 0, 4, 4, 2, 2, 2, 3, 1, 3, 1, 0, 2, 1, 1, 1, 3, 2, 1, 0, 3, 3, 2, 3, 0, 2, 0, 2, 3, 2, 4, 4, 1, 0, 4, 3, 4, 0, 0, 3, 4, 2, 2, 0, 1, 3, 2, 3, 4, 3, 1, 3, 2, 3, 0, 3, 0, 3, 4, 0, 2, 2, 0, 3, 2, 1, 2, 0, 4, 2, 2, 3, 0, 3, 1, 2, 2, 1, 0, 4, 1, 0, 4, 2, 2, 4, 3, 4, 3, 2, 2, 2, 1, 1, 1, 3, 4, 0, 3, 3, 1, 2, 2, 0, 0, 0, 4, 1, 1, 0, 3, 1, 1, 1, 1, 0, 3, 0, 1, 3, 1, 1, 1, 2, 1, 3, 2, 3, 0, 1, 3, 1, 3, 4, 3, 0, 4, 1, 4, 0, 2, 3, 0, 1, 4, 3, 1, 4, 4, 1, 2, 4, 3, 2, 1, 4, 1, 0, 3, 1, 4, 2, 3, 3, 3, 1, 2, 2, 4, 2, 3, 1, 1, 3, 1, 3, 1, 1, 2, 3, 4, 0, 4, 3, 4, 0, 0, 1, 1, 0, 0, 0, 1, 4, 4, 3, 2, 1, 1, 1, 4, 0, 4, 4]
pubkeycol1090 = [1, 0, 2, 1, 4, 4, 0, 2, 2, 2, 3, 3, 0, 1, 2, 3, 3, 0, 4, 3, 2, 1, 2, 4, 3, 3, 4, 3, 3, 2, 1, 3, 0, 2, 0, 3, 2, 0, 1, 4, 4, 0, 0, 0, 4, 4, 1, 3, 3, 4, 2, 0, 3, 4, 1, 0, 1, 2, 1, 1, 0, 2, 1, 3, 2, 1, 2, 4, 1, 1, 3, 0, 2, 3, 2, 2, 4, 3, 3, 4, 3, 0, 4, 3, 0, 3, 2, 0, 1, 1, 2, 1, 0, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 4, 3, 1, 1, 3, 4, 4, 2, 0, 1, 0, 3, 1, 2, 4, 2, 3, 4, 0, 1, 2, 2, 2, 3, 4, 0, 0, 2, 2, 3, 0, 3, 0, 0, 2, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 4, 0, 4, 2, 4, 2, 4, 2, 2, 0, 0, 4, 3, 1, 2, 4, 4, 4, 2, 4, 1, 1, 3, 1, 0, 1, 1, 4, 0, 0, 0, 3, 3, 4, 4, 4, 4, 0, 3, 4, 3, 1, 1, 1, 2, 2, 2, 3, 2, 4, 3, 4, 1, 3, 2, 4, 0, 4, 0, 0, 3, 3, 2, 1, 3, 0, 2, 1, 2, 0, 4, 2, 1, 4, 2, 2, 2, 2, 0, 4, 3, 4, 0, 1, 4, 4, 0, 4, 2, 3, 4, 3, 1, 0, 1, 2, 4, 4, 4, 3, 4, 4, 0, 4, 3, 3, 1, 0, 1, 4, 2, 4, 3, 0, 2, 0, 0, 0, 1, 1, 4, 4, 0, 3, 1, 1, 4, 2, 1, 1, 0, 0, 4, 1, 2, 0, 2, 2, 3, 2, 4, 3, 2, 4, 3, 2, 1, 2, 3, 0, 0, 2, 3, 4, 4, 3, 0, 4, 0, 0, 0, 2, 2, 2, 1, 4, 1, 0, 1, 3, 2, 4, 2, 3, 0, 3, 1, 2, 0, 4, 2, 2, 1, 2, 0, 4, 0, 1, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 1, 0, 3, 0, 0, 1, 0, 0, 3, 2, 1, 1, 0, 1, 3, 4, 0, 3, 4, 0, 2, 2, 0, 3, 3, 4, 4, 4, 4, 3, 1, 1, 0, 4, 1, 3, 3, 2, 0, 4, 2, 4, 4, 3, 0, 1, 3, 3, 3, 1, 1]
pubkeycol1091 = [1, 0, 1, 3, 3, 4, 3, 3, 0, 3, 3, 1, 1, 3, 3, 2, 1, 1, 0, 4, 1, 1, 3, 0, 4, 4, 3, 0, 4, 0, 1, 4, 4, 4, 3, 4, 1, 0, 0, 1, 4, 3, 0, 3, 4, 2, 2, 2, 2, 0, 3, 1, 1, 0, 4, 1, 4, 2, 0, 4, 0, 2, 2, 3, 3, 2, 1, 1, 2, 3, 1, 2, 2, 2, 4, 2, 2, 3, 3, 1, 4, 3, 3, 2, 4, 0, 0, 4, 4, 3, 2, 0, 1, 2, 1, 4, 4, 0, 3, 4, 3, 1, 3, 2, 4, 1, 2, 2, 2, 3, 0, 4, 4, 2, 3, 0, 3, 1, 2, 2, 0, 2, 3, 2, 4, 2, 3, 4, 0, 2, 2, 3, 1, 3, 4, 3, 3, 2, 3, 0, 0, 3, 2, 3, 3, 2, 4, 2, 2, 0, 3, 2, 2, 3, 2, 1, 0, 4, 4, 4, 0, 1, 2, 2, 0, 4, 3, 2, 1, 2, 1, 3, 2, 4, 2, 4, 0, 4, 1, 1, 0, 2, 4, 0, 2, 2, 2, 2, 3, 0, 3, 1, 1, 2, 2, 4, 3, 0, 0, 3, 4, 0, 2, 4, 3, 1, 4, 0, 1, 3, 1, 3, 2, 2, 3, 2, 3, 2, 4, 1, 2, 4, 1, 2, 2, 1, 3, 1, 2, 4, 4, 4, 3, 2, 0, 0, 2, 3, 3, 1, 3, 1, 4, 0, 4, 3, 1, 3, 1, 4, 4, 3, 0, 4, 3, 1, 4, 2, 3, 1, 2, 4, 0, 0, 4, 0, 3, 0, 1, 1, 0, 3, 2, 2, 4, 4, 0, 0, 2, 3, 0, 4, 4, 2, 1, 3, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 3, 2, 4, 3, 3, 4, 0, 1, 1, 2, 4, 1, 2, 3, 2, 1, 4, 3, 4, 2, 4, 3, 1, 3, 1, 1, 1, 0, 4, 4, 2, 0, 1, 4, 2, 4, 0, 2, 3, 4, 2, 3, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 4, 0, 4, 4, 4, 4, 3, 0, 4, 0, 2, 0, 1, 3, 4, 0, 0, 0, 4, 0, 1, 4, 2, 1, 0, 2, 0, 1, 4, 2, 4, 1, 0, 1, 2, 1, 3, 3, 0, 4, 0, 4, 4, 4, 1, 0, 2, 2, 2, 4, 2]
pubkeycol1092 = [4, 0, 1, 0, 2, 1, 0, 4, 0, 3, 4, 2, 0, 3, 1, 1, 3, 4, 0, 3, 2, 2, 4, 0, 2, 2, 0, 1, 1, 4, 2, 4, 3, 1, 4, 2, 0, 2, 3, 4, 1, 4, 3, 3, 1, 3, 0, 4, 3, 3, 3, 1, 3, 2, 4, 2, 3, 4, 2, 4, 1, 2, 0, 1, 4, 2, 3, 0, 1, 4, 1, 4, 1, 3, 1, 0, 1, 1, 3, 0, 3, 3, 0, 4, 3, 2, 4, 2, 2, 1, 2, 2, 2, 3, 4, 3, 4, 3, 2, 0, 4, 2, 1, 3, 3, 3, 3, 4, 4, 3, 0, 2, 2, 4, 1, 2, 1, 2, 0, 0, 1, 0, 2, 4, 4, 2, 3, 4, 4, 3, 4, 3, 2, 2, 0, 3, 3, 2, 4, 1, 2, 1, 3, 3, 0, 4, 3, 2, 2, 1, 1, 1, 3, 2, 2, 1, 1, 2, 2, 2, 1, 1, 4, 1, 0, 3, 1, 4, 0, 1, 4, 3, 1, 0, 1, 2, 0, 2, 0, 4, 3, 2, 2, 1, 3, 4, 4, 1, 3, 1, 4, 4, 0, 2, 2, 3, 0, 1, 0, 4, 3, 2, 3, 1, 3, 1, 2, 4, 2, 0, 1, 3, 2, 3, 4, 0, 3, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 4, 0, 1, 1, 1, 0, 2, 1, 4, 3, 3, 1, 4, 4, 0, 2, 2, 3, 0, 1, 1, 4, 4, 3, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 3, 3, 2, 3, 0, 0, 3, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 3, 4, 4, 4, 3, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 4, 4, 0, 2, 1, 3, 1, 4, 0, 3, 0, 0, 3, 1, 0, 4, 1, 1, 2, 4, 2, 1, 2, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 0, 3, 1, 0, 3, 1, 2, 4, 3, 3, 0, 2, 4, 0, 4, 1, 3, 2, 0, 2, 0, 3, 1, 2, 1, 4, 3, 1, 2, 4, 0, 4, 0, 2, 0, 2, 1, 2, 0, 3, 0, 1, 3, 4, 1, 3, 2, 0, 4, 4, 3, 4, 3, 0, 1, 2, 2, 1, 0, 3, 0, 0, 0, 1, 3, 2, 4, 3]
pubkeycol1093 = [3, 3, 4, 4, 2, 0, 1, 3, 2, 4, 2, 2, 1, 3, 1, 3, 3, 2, 3, 1, 2, 1, 1, 3, 1, 1, 2, 2, 4, 3, 0, 4, 1, 1, 4, 1, 0, 3, 1, 2, 3, 4, 2, 3, 4, 2, 0, 3, 2, 4, 1, 4, 0, 1, 1, 0, 1, 4, 2, 2, 4, 3, 1, 2, 0, 2, 2, 4, 2, 1, 1, 2, 3, 3, 4, 2, 0, 3, 1, 2, 4, 2, 0, 2, 4, 4, 0, 2, 0, 1, 0, 1, 0, 0, 4, 3, 3, 0, 2, 1, 0, 3, 1, 2, 2, 0, 0, 2, 3, 0, 2, 4, 0, 1, 0, 1, 3, 3, 0, 1, 4, 4, 2, 2, 4, 3, 2, 1, 4, 3, 1, 4, 3, 3, 0, 2, 1, 0, 3, 3, 3, 1, 4, 3, 1, 0, 0, 0, 2, 0, 0, 1, 0, 3, 4, 4, 0, 1, 1, 4, 2, 1, 3, 4, 4, 4, 0, 0, 1, 3, 4, 2, 2, 4, 1, 0, 3, 0, 1, 4, 2, 4, 0, 4, 3, 0, 2, 4, 3, 4, 1, 4, 2, 1, 0, 0, 2, 2, 4, 0, 4, 3, 4, 3, 3, 0, 4, 4, 4, 0, 2, 0, 4, 4, 2, 3, 3, 4, 1, 4, 1, 2, 1, 4, 2, 1, 3, 0, 3, 3, 1, 2, 3, 2, 4, 4, 1, 4, 1, 4, 4, 0, 3, 3, 0, 0, 1, 3, 3, 2, 1, 3, 3, 3, 2, 2, 2, 1, 0, 4, 3, 3, 0, 0, 1, 1, 0, 4, 3, 0, 1, 3, 3, 4, 1, 2, 3, 2, 4, 1, 2, 1, 0, 4, 1, 0, 0, 4, 4, 4, 0, 2, 3, 3, 3, 0, 0, 4, 3, 1, 4, 2, 0, 1, 2, 3, 1, 0, 0, 3, 0, 3, 4, 3, 1, 1, 3, 4, 4, 0, 1, 3, 0, 3, 0, 2, 4, 2, 4, 0, 2, 2, 4, 3, 1, 1, 1, 0, 1, 0, 0, 0, 2, 4, 1, 4, 0, 3, 0, 0, 0, 1, 1, 1, 0, 1, 3, 3, 0, 4, 0, 0, 0, 0, 1, 4, 1, 2, 3, 2, 0, 1, 0, 4, 2, 1, 0, 3, 1, 2, 1, 4, 1, 0, 1, 3, 0, 0, 1, 1, 1, 3, 1, 0, 2, 0, 3, 4, 1, 1]
pubkeycol1094 = [4, 1, 3, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 0, 0, 3, 2, 4, 0, 1, 4, 4, 4, 4, 2, 3, 3, 0, 2, 3, 0, 1, 2, 2, 2, 0, 1, 3, 3, 1, 2, 4, 2, 3, 4, 4, 3, 0, 3, 4, 0, 1, 3, 1, 1, 0, 0, 0, 3, 4, 4, 1, 0, 2, 3, 0, 3, 0, 3, 4, 3, 0, 1, 3, 1, 2, 3, 3, 3, 2, 0, 0, 4, 0, 2, 0, 1, 3, 0, 0, 4, 1, 1, 1, 2, 3, 4, 0, 2, 2, 1, 2, 1, 2, 1, 0, 4, 0, 1, 3, 3, 0, 1, 3, 1, 2, 1, 0, 4, 2, 0, 3, 0, 0, 1, 1, 3, 1, 2, 3, 3, 1, 1, 4, 3, 2, 3, 1, 2, 4, 1, 4, 4, 4, 1, 4, 2, 0, 4, 1, 0, 1, 4, 0, 3, 3, 2, 0, 4, 1, 1, 1, 1, 3, 0, 3, 4, 2, 2, 3, 2, 3, 2, 1, 3, 3, 1, 1, 0, 4, 4, 3, 2, 4, 0, 3, 1, 1, 2, 2, 1, 0, 3, 1, 3, 2, 3, 4, 3, 0, 1, 1, 0, 2, 1, 4, 2, 1, 1, 4, 2, 4, 1, 4, 1, 3, 3, 0, 0, 1, 4, 2, 3, 3, 3, 2, 1, 3, 0, 0, 0, 4, 1, 4, 4, 2, 1, 0, 3, 4, 2, 2, 2, 1, 4, 1, 0, 0, 3, 4, 1, 4, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0, 2, 2, 4, 0, 2, 3, 0, 1, 2, 2, 1, 3, 1, 1, 0, 3, 2, 4, 1, 3, 4, 2, 0, 2, 0, 2, 1, 4, 1, 1, 0, 1, 3, 0, 1, 1, 1, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 3, 2, 1, 2, 1, 0, 2, 3, 2, 4, 0, 3, 4, 1, 0, 1, 4, 4, 2, 2, 1, 2, 0, 3, 0, 0, 0, 1, 4, 0, 4, 3, 1, 0, 1, 1, 3, 4, 0, 3, 1, 2, 0, 4, 3, 4, 4, 0, 0, 4, 3, 3, 1, 4, 2, 0, 2, 1, 3, 0, 3, 1, 0, 4, 3, 4, 4, 1, 1, 0, 2, 4, 2, 1, 1, 0, 4, 2, 1, 3, 0, 2, 3, 2, 4, 0, 2, 1]
pubkeycol1095 = [2, 0, 0, 2, 3, 4, 4, 1, 0, 3, 0, 2, 0, 3, 0, 3, 1, 0, 2, 2, 0, 3, 2, 2, 3, 4, 3, 2, 2, 1, 1, 4, 2, 4, 0, 3, 1, 0, 3, 3, 4, 0, 1, 2, 0, 3, 2, 3, 3, 0, 3, 1, 4, 0, 3, 0, 4, 4, 3, 1, 2, 3, 2, 1, 3, 2, 2, 0, 4, 2, 1, 2, 3, 1, 4, 4, 4, 4, 0, 0, 3, 0, 1, 2, 1, 3, 3, 3, 2, 1, 0, 2, 4, 2, 1, 0, 0, 3, 2, 0, 3, 1, 2, 2, 2, 1, 1, 4, 0, 3, 3, 4, 3, 2, 1, 1, 2, 1, 3, 3, 4, 4, 3, 2, 3, 4, 3, 1, 3, 1, 0, 0, 1, 3, 2, 1, 2, 1, 3, 1, 3, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 4, 2, 0, 4, 1, 1, 1, 0, 4, 1, 1, 2, 1, 1, 3, 1, 1, 4, 0, 4, 3, 4, 2, 0, 1, 2, 1, 4, 0, 0, 3, 0, 1, 2, 3, 4, 1, 0, 1, 0, 1, 0, 4, 3, 1, 4, 2, 3, 2, 2, 2, 3, 0, 3, 4, 1, 1, 4, 3, 0, 1, 4, 2, 4, 4, 1, 2, 4, 1, 4, 3, 0, 3, 0, 4, 1, 4, 4, 4, 1, 2, 1, 1, 0, 0, 1, 3, 4, 0, 4, 3, 1, 1, 4, 4, 4, 1, 2, 0, 0, 0, 2, 4, 1, 3, 2, 0, 0, 3, 4, 4, 2, 0, 2, 3, 0, 0, 2, 0, 4, 1, 1, 1, 0, 2, 3, 1, 2, 3, 3, 0, 2, 3, 1, 1, 3, 1, 0, 0, 4, 2, 3, 2, 3, 0, 0, 3, 4, 1, 3, 3, 3, 1, 2, 3, 2, 4, 0, 1, 4, 2, 1, 4, 1, 3, 4, 3, 2, 0, 1, 3, 4, 3, 1, 3, 2, 1, 0, 3, 3, 2, 2, 0, 3, 1, 2, 2, 1, 4, 3, 0, 1, 0, 4, 2, 3, 0, 1, 2, 4, 2, 3, 3, 3, 0, 3, 1, 4, 2, 3, 2, 0, 1, 2, 1, 3, 0, 0, 2, 2, 4, 4, 1, 2, 3, 4, 3, 2, 3, 0, 0, 4, 1, 0, 3, 4, 4, 4, 3, 3, 0, 2, 0, 1, 4, 4, 3, 1]
pubkeycol1096 = [2, 2, 0, 1, 2, 3, 1, 1, 4, 3, 3, 4, 3, 3, 1, 0, 3, 0, 3, 1, 2, 4, 1, 0, 0, 1, 3, 4, 3, 0, 1, 1, 1, 2, 4, 2, 3, 0, 1, 0, 3, 3, 0, 3, 0, 4, 0, 3, 2, 4, 2, 0, 1, 2, 1, 3, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 4, 1, 2, 3, 0, 3, 1, 3, 1, 1, 2, 0, 1, 3, 4, 0, 4, 4, 4, 1, 0, 3, 1, 0, 0, 1, 4, 3, 1, 4, 0, 3, 2, 4, 4, 4, 0, 2, 4, 3, 0, 2, 1, 3, 1, 0, 4, 4, 0, 4, 2, 2, 3, 2, 0, 1, 2, 3, 3, 2, 0, 3, 2, 2, 1, 0, 4, 2, 3, 0, 2, 2, 4, 2, 0, 2, 2, 2, 4, 0, 2, 0, 3, 2, 1, 2, 3, 4, 0, 0, 1, 2, 3, 0, 4, 2, 0, 2, 3, 3, 4, 4, 3, 4, 4, 1, 3, 1, 4, 4, 4, 2, 3, 1, 2, 4, 1, 3, 3, 3, 1, 0, 4, 2, 2, 0, 0, 4, 4, 3, 3, 0, 0, 1, 3, 3, 4, 0, 3, 3, 3, 2, 0, 4, 3, 4, 4, 2, 1, 3, 1, 4, 3, 3, 2, 0, 3, 4, 3, 4, 0, 1, 4, 4, 0, 4, 1, 3, 0, 0, 2, 4, 2, 3, 0, 0, 0, 0, 4, 1, 1, 1, 1, 0, 1, 4, 1, 2, 3, 1, 2, 0, 0, 2, 1, 0, 1, 0, 4, 0, 4, 4, 4, 3, 1, 1, 3, 2, 2, 4, 0, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 2, 2, 3, 4, 2, 1, 4, 0, 0, 1, 2, 3, 1, 0, 0, 4, 2, 2, 0, 0, 2, 4, 3, 2, 2, 1, 2, 3, 1, 4, 0, 1, 2, 2, 0, 1, 4, 4, 2, 3, 0, 4, 2, 1, 1, 4, 4, 4, 3, 4, 2, 0, 1, 1, 2, 4, 0, 3, 0, 2, 3, 0, 2, 3, 3, 4, 2, 1, 1, 0, 2, 2, 0, 3, 2, 1, 4, 0, 2, 1, 3, 0, 4, 2, 0, 0, 1, 3, 2, 0, 1, 3, 0, 1, 3, 0, 0, 4, 2, 0, 2, 4, 2, 3, 1, 1, 4, 2, 2, 4, 3, 1]
pubkeycol1097 = [4, 0, 3, 4, 3, 1, 3, 3, 1, 2, 2, 2, 0, 1, 0, 3, 3, 4, 0, 0, 3, 3, 0, 1, 2, 2, 1, 3, 0, 3, 0, 2, 0, 2, 4, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 4, 3, 0, 2, 2, 2, 0, 0, 4, 3, 1, 4, 4, 1, 0, 2, 3, 1, 2, 1, 2, 0, 2, 2, 3, 1, 2, 4, 3, 2, 3, 1, 0, 1, 0, 0, 0, 3, 2, 0, 0, 1, 1, 2, 4, 4, 4, 1, 3, 1, 0, 1, 1, 0, 2, 3, 4, 0, 1, 3, 4, 0, 4, 0, 2, 2, 4, 4, 0, 1, 1, 3, 2, 1, 2, 4, 3, 4, 2, 3, 1, 1, 4, 1, 1, 3, 3, 3, 4, 0, 3, 1, 0, 1, 1, 4, 3, 2, 0, 1, 0, 3, 4, 0, 1, 1, 3, 1, 2, 0, 2, 3, 3, 3, 4, 1, 0, 4, 2, 3, 1, 0, 2, 1, 2, 3, 3, 2, 3, 0, 0, 3, 0, 1, 1, 2, 2, 4, 4, 2, 2, 2, 2, 3, 4, 2, 1, 2, 2, 0, 2, 3, 1, 4, 4, 4, 1, 1, 1, 3, 1, 2, 3, 3, 2, 2, 3, 0, 4, 3, 1, 1, 3, 0, 1, 2, 3, 1, 2, 0, 3, 2, 1, 3, 4, 0, 1, 0, 1, 2, 4, 4, 2, 3, 4, 0, 4, 3, 1, 4, 0, 3, 1, 3, 3, 2, 3, 1, 3, 0, 3, 0, 4, 2, 4, 3, 3, 1, 3, 4, 1, 4, 4, 3, 2, 2, 1, 4, 0, 1, 0, 4, 3, 3, 1, 3, 2, 0, 0, 0, 3, 4, 0, 4, 3, 1, 0, 3, 2, 1, 4, 0, 1, 4, 0, 0, 1, 3, 3, 4, 0, 2, 1, 3, 0, 2, 3, 4, 2, 3, 0, 1, 0, 4, 0, 0, 0, 3, 0, 0, 1, 0, 1, 1, 0, 1, 3, 2, 1, 0, 0, 1, 0, 4, 0, 0, 2, 0, 4, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 3, 4, 4, 2, 2, 4, 4, 4, 4, 1, 4, 2, 3, 1, 4, 2, 4, 1, 4, 3, 0, 4, 2, 1, 0, 1, 1, 1, 3, 4, 0, 0, 4, 2, 4, 0, 1, 3, 2, 4, 4, 1, 4]
pubkeycol1098 = [0, 1, 4, 1, 0, 3, 1, 0, 1, 4, 2, 4, 3, 3, 4, 2, 2, 2, 3, 2, 3, 2, 0, 0, 4, 2, 1, 2, 0, 4, 1, 3, 3, 3, 1, 1, 4, 0, 3, 3, 3, 1, 4, 3, 1, 4, 2, 2, 2, 2, 4, 4, 4, 0, 1, 3, 1, 0, 2, 0, 2, 0, 0, 3, 4, 3, 0, 0, 3, 4, 2, 3, 1, 1, 3, 2, 2, 4, 0, 2, 2, 3, 1, 2, 3, 2, 0, 4, 0, 3, 0, 1, 4, 4, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 3, 0, 2, 3, 1, 4, 4, 2, 0, 3, 1, 3, 1, 3, 3, 2, 1, 1, 4, 4, 2, 4, 2, 0, 3, 0, 3, 0, 2, 3, 4, 4, 0, 2, 3, 4, 0, 0, 1, 3, 0, 1, 1, 0, 3, 2, 1, 1, 0, 1, 2, 4, 3, 2, 3, 2, 1, 0, 2, 4, 1, 1, 4, 4, 3, 4, 1, 1, 2, 4, 2, 1, 0, 3, 3, 4, 3, 4, 2, 2, 1, 4, 0, 4, 4, 4, 3, 4, 1, 4, 2, 0, 4, 0, 4, 4, 2, 4, 0, 0, 0, 1, 3, 4, 0, 4, 3, 4, 2, 2, 1, 3, 3, 0, 2, 0, 3, 0, 3, 3, 3, 2, 2, 2, 0, 1, 0, 4, 2, 0, 1, 3, 0, 2, 4, 0, 2, 2, 4, 3, 4, 4, 1, 3, 2, 1, 1, 4, 1, 2, 2, 0, 0, 3, 1, 3, 1, 0, 4, 0, 2, 3, 1, 1, 1, 4, 0, 2, 0, 3, 2, 4, 1, 4, 3, 1, 4, 1, 2, 3, 0, 2, 4, 4, 0, 2, 1, 1, 0, 4, 1, 2, 4, 2, 2, 3, 3, 4, 2, 2, 2, 0, 4, 2, 0, 0, 2, 0, 2, 4, 0, 4, 0, 3, 0, 1, 2, 3, 2, 2, 3, 0, 0, 2, 4, 0, 1, 2, 1, 3, 4, 2, 3, 4, 1, 4, 1, 3, 1, 0, 0, 0, 4, 0, 1, 2, 3, 2, 2, 2, 0, 3, 4, 2, 1, 3, 1, 3, 3, 1, 0, 4, 0, 3, 1, 4, 3, 1, 4, 4, 3, 2, 1, 4, 3, 2, 4, 0, 3, 1, 3, 4, 1, 4, 1, 4, 2, 1, 0, 0, 1, 2, 3, 2, 2, 1]
pubkeycol1099 = [1, 1, 4, 0, 4, 1, 3, 1, 2, 3, 4, 0, 2, 4, 2, 2, 1, 4, 0, 3, 3, 1, 4, 0, 0, 3, 2, 0, 1, 3, 1, 3, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 4, 4, 1, 3, 1, 0, 3, 4, 1, 2, 3, 0, 0, 3, 4, 1, 1, 0, 4, 0, 4, 1, 1, 3, 4, 3, 1, 2, 4, 3, 4, 4, 1, 3, 0, 2, 3, 0, 3, 4, 2, 1, 2, 0, 3, 2, 1, 0, 2, 1, 1, 1, 0, 2, 3, 1, 4, 4, 0, 1, 2, 1, 0, 1, 0, 2, 4, 4, 3, 3, 0, 4, 1, 4, 1, 0, 1, 3, 2, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 4, 0, 1, 3, 3, 1, 4, 3, 3, 3, 3, 0, 0, 1, 4, 4, 2, 2, 1, 4, 4, 3, 0, 3, 1, 1, 4, 2, 0, 3, 0, 4, 0, 2, 0, 2, 3, 1, 1, 3, 3, 1, 4, 0, 1, 2, 2, 3, 0, 4, 2, 2, 2, 3, 0, 4, 3, 4, 0, 3, 1, 2, 3, 1, 4, 1, 1, 1, 2, 2, 1, 0, 4, 3, 2, 1, 0, 1, 0, 2, 1, 4, 0, 0, 2, 2, 0, 4, 0, 0, 0, 0, 0, 3, 0, 2, 0, 4, 4, 2, 4, 2, 2, 3, 3, 3, 2, 2, 4, 0, 3, 0, 3, 2, 4, 3, 0, 3, 4, 0, 0, 3, 0, 2, 4, 0, 0, 0, 4, 2, 2, 0, 0, 2, 2, 3, 0, 2, 4, 2, 4, 2, 0, 3, 3, 2, 0, 1, 4, 3, 4, 3, 0, 2, 2, 4, 3, 4, 4, 3, 3, 2, 1, 0, 2, 0, 0, 2, 2, 2, 3, 0, 0, 0, 3, 3, 2, 0, 1, 2, 4, 4, 1, 1, 4, 0, 4, 2, 1, 3, 4, 2, 1, 3, 3, 0, 3, 0, 1, 4, 3, 1, 3, 0, 3, 3, 0, 1, 4, 1, 0, 4, 0, 2, 4, 2, 2, 1, 0, 3, 2, 0, 2, 1, 3, 1, 3, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 4, 0, 0, 3, 2, 4, 0, 2, 0, 3, 3, 4, 1, 4, 3, 4, 0, 2, 1, 1, 2, 1, 4, 3, 3, 1, 1, 4, 4, 0, 3]
pubkeycol1100 = [1, 2, 2, 1, 1, 4, 3, 2, 3, 3, 4, 1, 2, 4, 2, 0, 3, 4, 2, 2, 3, 0, 2, 4, 2, 3, 1, 2, 2, 2, 4, 2, 1, 0, 2, 0, 2, 1, 3, 0, 3, 3, 0, 2, 2, 0, 3, 4, 0, 3, 2, 1, 4, 4, 2, 1, 2, 2, 1, 1, 3, 2, 0, 3, 2, 3, 1, 2, 1, 2, 0, 3, 0, 2, 1, 2, 1, 2, 0, 2, 1, 3, 0, 0, 1, 4, 0, 4, 2, 3, 4, 2, 4, 3, 0, 1, 0, 2, 3, 3, 4, 0, 0, 1, 2, 3, 3, 1, 4, 4, 2, 0, 3, 0, 4, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 3, 3, 0, 1, 0, 1, 4, 2, 2, 2, 4, 0, 2, 0, 0, 3, 2, 4, 1, 4, 0, 1, 3, 1, 0, 1, 2, 3, 1, 0, 0, 4, 0, 4, 2, 4, 4, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 3, 2, 4, 4, 3, 4, 4, 0, 4, 3, 1, 1, 2, 1, 0, 0, 2, 3, 3, 1, 2, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 1, 4, 3, 1, 0, 1, 4, 2, 0, 0, 1, 2, 1, 3, 3, 1, 1, 0, 3, 0, 1, 2, 2, 2, 0, 0, 2, 3, 4, 3, 2, 1, 2, 2, 2, 2, 2, 0, 4, 1, 2, 0, 3, 2, 1, 4, 3, 0, 3, 2, 3, 4, 3, 4, 1, 1, 3, 1, 1, 0, 1, 3, 1, 4, 1, 4, 2, 3, 2, 0, 2, 2, 0, 3, 4, 1, 1, 0, 2, 2, 2, 3, 4, 4, 0, 1, 3, 4, 0, 2, 2, 3, 0, 3, 2, 3, 3, 2, 0, 2, 3, 3, 3, 1, 2, 2, 2, 3, 4, 4, 4, 3, 3, 1, 1, 3, 0, 0, 1, 0, 4, 2, 2, 0, 2, 4, 0, 2, 0, 2, 1, 2, 2, 2, 4, 4, 1, 2, 2, 4, 2, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 4, 3, 1, 4, 2, 2, 2, 4, 4, 0, 1, 0, 3, 3, 0, 0, 4, 1, 2, 4, 0, 2, 3, 4, 1, 3, 3, 2, 3, 0, 4, 2, 3, 0, 4, 3, 3, 0, 2, 1, 2, 2, 1, 4, 3, 2]
pubkeycol1101 = [2, 2, 0, 4, 1, 2, 0, 1, 2, 2, 0, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 0, 3, 2, 3, 3, 3, 0, 4, 1, 2, 0, 3, 3, 4, 2, 0, 2, 0, 4, 3, 2, 0, 2, 3, 4, 3, 4, 1, 1, 0, 3, 0, 4, 0, 1, 2, 4, 0, 2, 4, 2, 0, 3, 1, 3, 4, 4, 4, 3, 4, 4, 2, 3, 0, 4, 3, 4, 1, 3, 4, 2, 2, 2, 4, 2, 3, 4, 1, 0, 2, 4, 3, 0, 4, 4, 1, 3, 2, 0, 1, 0, 3, 3, 2, 3, 4, 0, 0, 4, 4, 2, 0, 1, 4, 4, 3, 0, 3, 3, 4, 0, 0, 2, 0, 1, 4, 4, 3, 3, 3, 3, 4, 1, 4, 2, 2, 2, 4, 1, 4, 0, 3, 0, 0, 1, 1, 1, 1, 2, 1, 0, 4, 0, 2, 2, 2, 3, 4, 1, 0, 2, 0, 4, 1, 3, 4, 1, 2, 4, 3, 4, 2, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 3, 0, 4, 4, 1, 4, 4, 1, 0, 0, 1, 4, 2, 2, 4, 1, 2, 4, 0, 2, 4, 3, 3, 2, 1, 1, 2, 3, 0, 2, 1, 0, 4, 4, 4, 2, 2, 4, 4, 3, 3, 4, 1, 0, 4, 2, 1, 4, 1, 3, 0, 0, 0, 4, 2, 0, 0, 0, 3, 1, 3, 0, 0, 4, 4, 0, 3, 0, 0, 2, 1, 4, 3, 1, 2, 2, 0, 1, 1, 0, 4, 2, 4, 0, 2, 1, 1, 2, 4, 0, 1, 1, 4, 1, 0, 3, 3, 4, 2, 4, 1, 4, 2, 4, 2, 0, 2, 3, 0, 3, 0, 1, 3, 3, 2, 3, 1, 1, 4, 2, 1, 1, 2, 2, 2, 4, 0, 2, 4, 3, 0, 4, 3, 1, 0, 4, 4, 4, 0, 0, 4, 1, 0, 2, 4, 1, 3, 2, 0, 1, 0, 1, 0, 1, 3, 0, 0, 0, 1, 3, 4, 0, 3, 2, 4, 4, 0, 0, 0, 3, 4, 1, 2, 1, 1, 0, 0, 1, 3, 0, 0, 3, 4, 1, 1, 3, 2, 2, 3, 2, 4, 0, 4, 4, 1, 4, 3, 3, 2, 0, 1, 4, 0, 1, 1, 1, 1, 0, 1, 0, 4, 0, 2, 3, 4, 1, 2]
pubkeycol1102 = [1, 0, 1, 2, 0, 2, 3, 3, 3, 1, 2, 1, 4, 1, 4, 1, 3, 0, 4, 4, 2, 0, 4, 4, 1, 2, 4, 4, 2, 0, 2, 3, 2, 4, 0, 3, 1, 3, 1, 2, 2, 3, 2, 4, 3, 4, 0, 4, 3, 1, 2, 4, 2, 3, 3, 1, 3, 4, 2, 0, 0, 2, 0, 3, 3, 3, 3, 1, 0, 4, 3, 1, 2, 3, 0, 3, 1, 3, 2, 0, 0, 2, 3, 1, 3, 1, 4, 3, 4, 4, 0, 4, 2, 2, 3, 4, 4, 3, 1, 4, 1, 2, 4, 4, 4, 0, 2, 4, 1, 4, 0, 0, 1, 1, 1, 4, 2, 3, 4, 2, 4, 4, 4, 0, 4, 0, 3, 0, 3, 2, 3, 0, 3, 2, 0, 1, 1, 4, 0, 4, 4, 2, 3, 4, 3, 1, 0, 3, 2, 3, 2, 4, 1, 2, 1, 1, 0, 4, 3, 1, 2, 0, 2, 1, 3, 4, 3, 0, 0, 0, 0, 1, 4, 1, 1, 1, 3, 1, 4, 0, 1, 0, 2, 0, 0, 3, 4, 1, 0, 1, 0, 4, 2, 3, 3, 2, 1, 4, 1, 2, 2, 1, 1, 0, 4, 3, 3, 4, 3, 3, 0, 3, 2, 0, 1, 1, 2, 3, 3, 1, 1, 0, 0, 0, 2, 3, 4, 2, 3, 1, 4, 1, 3, 4, 2, 4, 2, 3, 0, 1, 0, 4, 1, 0, 3, 3, 0, 3, 1, 1, 4, 0, 2, 3, 4, 1, 3, 3, 3, 3, 2, 3, 2, 0, 3, 0, 0, 1, 3, 4, 3, 4, 0, 3, 1, 1, 0, 0, 2, 0, 3, 2, 1, 2, 3, 4, 1, 3, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 4, 2, 1, 4, 3, 1, 1, 3, 2, 1, 4, 0, 4, 4, 1, 2, 1, 0, 4, 1, 1, 1, 4, 1, 2, 0, 4, 2, 3, 2, 4, 1, 0, 1, 4, 1, 3, 1, 4, 1, 1, 0, 4, 0, 4, 0, 1, 4, 4, 0, 1, 0, 2, 3, 0, 4, 2, 2, 3, 4, 1, 3, 4, 3, 0, 1, 4, 4, 3, 3, 2, 4, 3, 3, 2, 0, 0, 4, 0, 3, 1, 2, 4, 3, 4, 0, 0, 1, 0, 0, 2, 4, 2, 1, 2, 0, 2, 4, 4, 1, 0, 1]
pubkeycol1103 = [0, 4, 3, 1, 0, 4, 4, 0, 4, 4, 0, 3, 3, 2, 0, 3, 3, 4, 0, 3, 4, 3, 2, 1, 0, 4, 1, 3, 0, 3, 2, 2, 2, 1, 4, 3, 0, 0, 4, 0, 3, 0, 0, 0, 1, 3, 1, 2, 2, 1, 4, 2, 2, 0, 1, 0, 2, 3, 4, 1, 4, 3, 2, 0, 2, 1, 1, 1, 1, 3, 0, 2, 1, 1, 2, 0, 3, 2, 1, 2, 3, 1, 2, 4, 3, 2, 2, 0, 3, 1, 2, 1, 4, 2, 2, 0, 4, 2, 2, 3, 2, 2, 2, 1, 3, 1, 0, 3, 1, 4, 1, 3, 0, 4, 4, 1, 0, 4, 2, 2, 1, 0, 4, 4, 1, 4, 3, 0, 1, 2, 0, 0, 4, 2, 4, 1, 2, 3, 3, 4, 2, 1, 2, 1, 2, 3, 4, 4, 2, 2, 0, 2, 4, 3, 1, 0, 0, 1, 3, 0, 4, 0, 4, 4, 0, 0, 0, 3, 1, 1, 1, 3, 2, 2, 1, 3, 2, 3, 0, 0, 0, 2, 4, 2, 4, 4, 1, 1, 4, 3, 0, 4, 1, 0, 4, 2, 3, 2, 1, 3, 0, 1, 3, 0, 0, 0, 1, 2, 4, 4, 3, 1, 4, 0, 4, 0, 2, 3, 0, 3, 2, 3, 0, 4, 4, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 3, 0, 3, 3, 0, 1, 1, 2, 2, 3, 4, 2, 2, 2, 0, 1, 1, 4, 1, 4, 0, 3, 2, 3, 3, 3, 2, 4, 4, 4, 0, 4, 0, 2, 4, 0, 0, 0, 1, 0, 1, 1, 2, 2, 4, 2, 2, 2, 0, 1, 4, 0, 0, 4, 3, 0, 3, 0, 4, 2, 2, 1, 4, 1, 0, 3, 0, 4, 0, 0, 4, 3, 1, 2, 1, 4, 0, 3, 4, 0, 1, 0, 1, 4, 4, 4, 0, 3, 0, 4, 3, 2, 2, 0, 3, 0, 2, 2, 0, 2, 2, 4, 2, 4, 1, 2, 2, 2, 3, 0, 0, 2, 4, 3, 2, 4, 2, 3, 4, 3, 4, 2, 4, 1, 2, 4, 1, 4, 0, 1, 1, 0, 1, 4, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 4, 0, 4, 1, 0, 3, 1, 2, 3, 1, 1, 3, 2]
pubkeycol1104 = [2, 1, 3, 1, 2, 4, 0, 3, 4, 1, 0, 0, 1, 2, 1, 3, 1, 4, 3, 4, 3, 4, 1, 2, 3, 4, 4, 1, 4, 4, 2, 4, 3, 1, 0, 0, 2, 0, 0, 2, 1, 0, 4, 3, 2, 3, 1, 0, 4, 4, 4, 1, 3, 2, 0, 0, 0, 1, 3, 0, 2, 1, 4, 1, 2, 0, 3, 1, 4, 4, 2, 4, 2, 0, 2, 2, 2, 4, 0, 1, 0, 3, 2, 3, 3, 1, 3, 2, 2, 4, 4, 2, 2, 2, 4, 1, 2, 1, 2, 4, 2, 2, 1, 1, 1, 2, 0, 1, 3, 2, 1, 0, 2, 4, 2, 3, 2, 0, 1, 3, 2, 1, 0, 3, 3, 3, 1, 4, 0, 4, 4, 4, 2, 4, 1, 1, 1, 0, 4, 4, 3, 0, 3, 0, 2, 1, 1, 1, 0, 4, 3, 0, 4, 2, 3, 4, 0, 3, 4, 4, 0, 2, 4, 0, 2, 1, 1, 1, 0, 1, 0, 4, 3, 1, 3, 2, 1, 0, 4, 2, 4, 3, 3, 0, 3, 1, 0, 3, 3, 2, 4, 2, 1, 4, 2, 3, 3, 0, 4, 0, 0, 1, 3, 4, 0, 3, 1, 0, 1, 3, 4, 1, 0, 4, 2, 0, 4, 4, 0, 2, 2, 4, 3, 1, 2, 3, 3, 1, 3, 1, 4, 0, 0, 4, 0, 0, 3, 0, 0, 1, 3, 0, 0, 4, 3, 3, 4, 4, 2, 4, 0, 3, 4, 2, 3, 0, 4, 1, 3, 2, 2, 2, 1, 0, 4, 1, 3, 3, 2, 3, 1, 2, 4, 1, 4, 4, 2, 0, 1, 4, 2, 2, 3, 3, 4, 2, 0, 4, 3, 0, 1, 3, 2, 0, 3, 0, 4, 4, 3, 0, 2, 2, 4, 3, 1, 0, 2, 1, 4, 1, 1, 0, 1, 0, 1, 4, 2, 4, 4, 4, 1, 1, 2, 0, 1, 0, 3, 4, 0, 2, 0, 2, 0, 4, 3, 2, 2, 3, 3, 4, 3, 1, 1, 3, 1, 4, 3, 2, 4, 3, 4, 4, 3, 3, 2, 4, 1, 0, 4, 0, 0, 4, 3, 3, 0, 0, 0, 2, 3, 1, 3, 0, 4, 4, 2, 4, 4, 2, 4, 2, 1, 4, 2, 4, 3, 3, 2, 1, 2, 2, 2, 0, 1, 1, 2, 4, 1, 2, 1, 0]
pubkeycol1105 = [1, 1, 2, 0, 3, 2, 1, 3, 0, 3, 0, 3, 4, 4, 0, 3, 2, 0, 3, 4, 0, 2, 4, 1, 4, 2, 1, 0, 0, 1, 4, 0, 1, 1, 4, 2, 4, 0, 2, 1, 2, 2, 4, 1, 4, 2, 1, 1, 3, 0, 1, 0, 4, 0, 2, 4, 2, 1, 1, 1, 2, 0, 4, 2, 3, 3, 1, 1, 4, 1, 4, 1, 1, 3, 3, 3, 1, 2, 3, 2, 2, 1, 3, 1, 3, 3, 4, 3, 0, 4, 0, 2, 2, 2, 3, 4, 1, 3, 0, 0, 2, 0, 0, 2, 0, 2, 2, 4, 1, 0, 3, 2, 0, 3, 3, 0, 3, 2, 3, 0, 3, 2, 4, 2, 2, 4, 1, 4, 0, 3, 1, 0, 3, 3, 1, 4, 3, 4, 0, 3, 2, 1, 1, 0, 3, 1, 4, 0, 3, 3, 3, 1, 3, 0, 3, 1, 2, 1, 3, 1, 3, 2, 4, 1, 4, 4, 3, 4, 2, 4, 3, 0, 4, 1, 1, 3, 4, 1, 4, 0, 4, 1, 1, 3, 0, 3, 1, 2, 1, 0, 1, 4, 2, 4, 3, 2, 1, 0, 1, 0, 3, 2, 0, 0, 3, 4, 2, 0, 3, 1, 4, 2, 4, 3, 3, 4, 4, 4, 1, 4, 1, 2, 1, 3, 0, 0, 4, 3, 1, 2, 2, 1, 0, 1, 4, 2, 1, 3, 2, 0, 3, 1, 2, 0, 3, 0, 3, 4, 2, 1, 0, 0, 4, 4, 1, 0, 0, 2, 0, 1, 4, 0, 3, 1, 0, 0, 3, 3, 1, 4, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 3, 1, 1, 4, 0, 4, 2, 2, 4, 2, 1, 1, 0, 4, 1, 0, 0, 3, 0, 0, 2, 3, 1, 4, 2, 3, 0, 3, 0, 2, 2, 0, 3, 0, 4, 0, 3, 4, 1, 2, 2, 3, 0, 3, 2, 1, 1, 3, 4, 2, 0, 2, 3, 2, 4, 3, 1, 2, 0, 2, 0, 3, 2, 4, 1, 0, 0, 2, 3, 2, 2, 0, 0, 2, 4, 3, 0, 0, 3, 2, 2, 1, 0, 2, 2, 2, 0, 3, 3, 3, 4, 0, 3, 1, 2, 2, 1, 1, 1, 0, 0, 4, 0, 1, 0, 4, 0, 1, 3, 1, 2, 4, 3, 4, 1, 1, 2]
pubkeycol1106 = [1, 2, 4, 0, 3, 1, 3, 0, 1, 0, 4, 2, 4, 1, 4, 3, 0, 0, 2, 4, 1, 2, 4, 1, 4, 2, 4, 2, 0, 1, 4, 1, 3, 1, 4, 0, 1, 0, 0, 0, 4, 2, 3, 2, 2, 2, 3, 3, 2, 4, 2, 1, 0, 1, 0, 4, 0, 2, 0, 3, 0, 0, 2, 2, 0, 4, 2, 4, 0, 2, 0, 1, 2, 2, 4, 4, 1, 3, 3, 1, 3, 3, 2, 1, 1, 2, 4, 4, 0, 2, 4, 0, 4, 3, 2, 0, 0, 2, 2, 1, 4, 0, 3, 3, 2, 0, 1, 0, 1, 2, 2, 4, 2, 0, 2, 1, 0, 3, 2, 0, 4, 2, 1, 0, 2, 0, 3, 4, 4, 2, 2, 1, 3, 3, 0, 3, 4, 1, 3, 0, 3, 3, 1, 3, 3, 0, 4, 4, 2, 3, 4, 0, 2, 2, 4, 0, 2, 1, 3, 1, 2, 2, 3, 2, 4, 2, 2, 3, 4, 1, 3, 3, 1, 3, 1, 1, 4, 0, 1, 3, 0, 2, 4, 0, 4, 2, 3, 2, 4, 4, 3, 4, 2, 1, 3, 2, 3, 1, 2, 2, 0, 2, 3, 1, 2, 2, 1, 3, 3, 2, 1, 2, 4, 0, 1, 2, 3, 3, 1, 4, 1, 4, 3, 3, 3, 0, 4, 0, 2, 1, 1, 4, 3, 2, 1, 1, 3, 4, 0, 4, 3, 2, 1, 1, 2, 1, 4, 3, 4, 2, 2, 2, 1, 3, 0, 3, 1, 0, 0, 0, 2, 1, 2, 1, 0, 4, 1, 4, 1, 4, 2, 4, 2, 3, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 4, 0, 2, 0, 1, 4, 3, 2, 3, 1, 0, 2, 1, 0, 3, 1, 3, 0, 4, 1, 2, 2, 3, 2, 0, 3, 2, 0, 1, 0, 2, 0, 1, 4, 1, 4, 2, 4, 4, 0, 4, 3, 0, 1, 2, 1, 4, 2, 0, 0, 2, 1, 1, 4, 1, 2, 2, 0, 3, 3, 3, 1, 2, 1, 1, 0, 3, 3, 2, 0, 2, 1, 3, 4, 0, 4, 3, 4, 1, 1, 0, 2, 4, 3, 4, 1, 4, 3, 1, 0, 2, 0, 0, 4, 0, 2, 1, 2, 4, 2, 3, 2, 2, 4, 0, 0, 4, 2, 3, 0, 2, 2, 1, 2, 0, 1]
pubkeycol1107 = [3, 4, 0, 4, 4, 4, 3, 1, 2, 3, 0, 2, 1, 4, 3, 1, 4, 1, 4, 2, 4, 1, 3, 1, 0, 1, 4, 3, 1, 3, 0, 3, 2, 4, 4, 3, 0, 1, 4, 1, 1, 3, 0, 4, 3, 3, 3, 0, 3, 4, 0, 0, 1, 0, 1, 1, 4, 3, 2, 1, 1, 2, 1, 4, 3, 2, 3, 4, 1, 1, 2, 4, 2, 3, 4, 4, 0, 3, 1, 0, 1, 4, 4, 2, 0, 4, 3, 0, 0, 3, 3, 3, 1, 2, 2, 4, 1, 0, 2, 3, 2, 4, 3, 4, 3, 2, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 3, 1, 3, 3, 4, 0, 1, 3, 4, 0, 0, 1, 3, 4, 4, 0, 2, 1, 2, 0, 4, 2, 1, 4, 1, 0, 4, 2, 4, 2, 1, 4, 4, 4, 2, 1, 3, 3, 0, 0, 1, 0, 0, 3, 0, 4, 3, 2, 3, 3, 2, 4, 2, 2, 4, 2, 4, 3, 3, 3, 2, 0, 3, 0, 3, 2, 0, 0, 1, 1, 2, 4, 2, 4, 1, 0, 3, 0, 4, 2, 0, 0, 2, 3, 1, 4, 3, 2, 0, 4, 3, 2, 4, 2, 4, 0, 2, 2, 0, 3, 1, 0, 1, 2, 0, 2, 4, 3, 2, 4, 2, 4, 0, 4, 0, 3, 1, 4, 4, 2, 0, 4, 0, 0, 1, 0, 1, 2, 1, 3, 0, 3, 4, 3, 3, 2, 2, 1, 3, 3, 0, 2, 2, 0, 1, 2, 0, 2, 1, 4, 2, 4, 1, 4, 1, 1, 4, 0, 2, 4, 2, 3, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 3, 3, 0, 1, 4, 4, 1, 4, 2, 1, 1, 4, 4, 1, 4, 3, 3, 3, 4, 4, 1, 4, 1, 3, 1, 4, 3, 1, 2, 2, 4, 3, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 3, 3, 3, 0, 1, 3, 1, 4, 3, 3, 1, 0, 4, 3, 0, 2, 3, 1, 4, 1, 2, 1, 2, 0, 4, 3, 3, 2, 3, 1, 0, 0, 3, 2, 2, 4, 2, 0, 1, 3, 4, 1, 3, 0, 4, 0, 2, 2, 4, 2, 2, 0, 3, 4, 4, 4, 3, 0, 3, 1, 4, 1, 4, 0, 4, 1]
pubkeycol1108 = [3, 2, 3, 3, 0, 0, 3, 0, 2, 4, 0, 0, 0, 3, 2, 0, 1, 0, 3, 3, 4, 3, 0, 0, 2, 2, 3, 3, 4, 0, 4, 3, 0, 3, 1, 0, 3, 4, 3, 4, 2, 4, 2, 4, 1, 4, 2, 4, 4, 2, 4, 1, 3, 0, 1, 4, 4, 2, 1, 4, 1, 3, 1, 0, 4, 4, 1, 2, 3, 1, 4, 0, 3, 2, 4, 2, 4, 2, 3, 4, 3, 4, 0, 0, 0, 2, 1, 1, 1, 4, 2, 0, 3, 1, 2, 4, 3, 0, 0, 3, 0, 3, 1, 1, 3, 3, 2, 1, 0, 0, 3, 1, 1, 3, 4, 1, 2, 3, 4, 1, 2, 0, 1, 1, 3, 2, 2, 4, 1, 4, 4, 3, 4, 4, 4, 3, 2, 4, 0, 0, 3, 0, 0, 3, 0, 3, 4, 4, 3, 1, 3, 1, 0, 2, 2, 0, 0, 2, 0, 3, 1, 3, 4, 0, 1, 4, 3, 0, 3, 2, 1, 4, 2, 4, 3, 4, 1, 4, 1, 0, 2, 0, 4, 1, 2, 3, 2, 4, 0, 0, 1, 1, 1, 0, 4, 1, 0, 4, 2, 2, 2, 1, 0, 0, 3, 0, 2, 0, 1, 3, 3, 1, 2, 3, 3, 1, 0, 1, 2, 2, 2, 3, 0, 3, 1, 1, 3, 0, 2, 3, 4, 0, 2, 1, 0, 2, 0, 3, 2, 2, 3, 4, 0, 2, 4, 1, 3, 1, 0, 4, 3, 4, 4, 2, 4, 1, 0, 3, 3, 2, 1, 2, 3, 2, 2, 0, 2, 3, 3, 1, 1, 4, 2, 2, 0, 1, 3, 0, 1, 0, 4, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 1, 4, 2, 2, 2, 0, 1, 3, 0, 3, 2, 3, 4, 3, 3, 1, 1, 0, 0, 3, 0, 1, 2, 4, 2, 3, 1, 2, 2, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 4, 3, 0, 2, 0, 3, 2, 1, 1, 1, 2, 4, 2, 3, 2, 0, 1, 4, 4, 1, 2, 1, 4, 3, 3, 2, 2, 3, 3, 2, 3, 2, 1, 4, 3, 3, 3, 1, 3, 3, 0, 2, 2, 3, 0, 0, 1, 1, 0, 0, 4, 3, 1, 2, 0, 1, 0, 0, 4, 3, 4, 2, 0, 3, 0, 4, 1, 4, 1]
pubkeycol1109 = [2, 3, 1, 2, 3, 1, 3, 0, 1, 2, 2, 4, 4, 3, 0, 3, 4, 0, 4, 0, 0, 0, 4, 4, 4, 3, 1, 4, 3, 3, 4, 2, 2, 4, 1, 0, 2, 0, 3, 1, 0, 4, 0, 1, 3, 4, 2, 0, 1, 4, 1, 3, 3, 1, 2, 1, 1, 4, 3, 1, 0, 1, 3, 3, 4, 1, 0, 3, 0, 4, 0, 0, 3, 1, 3, 4, 2, 1, 0, 1, 0, 4, 3, 2, 1, 4, 1, 2, 0, 1, 2, 2, 3, 3, 1, 3, 2, 0, 2, 1, 2, 1, 0, 4, 3, 2, 3, 1, 3, 0, 1, 1, 3, 3, 1, 0, 1, 2, 0, 2, 3, 2, 2, 1, 0, 2, 2, 2, 3, 2, 4, 3, 1, 0, 1, 1, 3, 1, 0, 1, 3, 3, 0, 2, 3, 3, 0, 0, 1, 2, 4, 2, 1, 2, 4, 2, 3, 4, 2, 1, 4, 2, 0, 1, 3, 0, 3, 3, 1, 4, 3, 0, 4, 1, 0, 2, 0, 2, 0, 3, 0, 0, 0, 3, 4, 0, 3, 3, 0, 3, 0, 2, 2, 2, 2, 0, 3, 3, 2, 4, 4, 0, 1, 3, 0, 4, 1, 4, 3, 0, 1, 1, 3, 2, 4, 4, 3, 1, 4, 3, 4, 0, 2, 4, 0, 2, 2, 3, 1, 2, 3, 0, 0, 3, 4, 3, 4, 0, 2, 3, 1, 4, 1, 2, 3, 2, 3, 2, 1, 3, 3, 2, 3, 0, 1, 3, 3, 4, 4, 1, 3, 1, 1, 0, 3, 1, 2, 2, 1, 1, 1, 1, 4, 4, 1, 2, 2, 4, 2, 3, 4, 0, 4, 1, 1, 0, 0, 1, 0, 0, 4, 3, 0, 2, 4, 1, 0, 1, 3, 1, 0, 0, 4, 1, 1, 4, 2, 2, 0, 3, 3, 1, 4, 1, 2, 0, 1, 0, 0, 3, 4, 2, 1, 2, 3, 3, 3, 2, 4, 4, 0, 4, 0, 0, 0, 4, 0, 2, 0, 0, 4, 0, 3, 4, 4, 4, 1, 4, 0, 4, 1, 2, 4, 1, 2, 2, 3, 2, 0, 4, 1, 0, 4, 1, 4, 1, 0, 1, 4, 2, 4, 2, 2, 4, 4, 3, 2, 1, 1, 1, 1, 3, 1, 2, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2]
pubkeycol1110 = [4, 2, 3, 1, 1, 2, 2, 4, 4, 3, 1, 4, 4, 3, 1, 1, 0, 1, 0, 4, 3, 4, 1, 4, 0, 3, 3, 1, 4, 1, 2, 2, 0, 2, 1, 2, 3, 3, 4, 4, 2, 2, 1, 0, 2, 2, 4, 0, 0, 3, 4, 3, 4, 0, 2, 3, 0, 3, 0, 4, 1, 2, 3, 1, 2, 0, 4, 3, 2, 3, 1, 2, 0, 2, 1, 4, 1, 3, 4, 0, 3, 4, 3, 4, 4, 0, 0, 0, 2, 1, 3, 4, 0, 4, 4, 1, 2, 1, 3, 2, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 3, 0, 2, 4, 4, 4, 4, 0, 0, 2, 3, 2, 4, 1, 0, 0, 1, 1, 2, 3, 1, 1, 0, 2, 3, 1, 3, 3, 4, 4, 1, 2, 0, 4, 0, 1, 3, 0, 0, 0, 1, 2, 0, 2, 4, 0, 3, 2, 3, 0, 3, 2, 2, 1, 0, 4, 4, 1, 4, 4, 3, 1, 2, 4, 2, 2, 4, 0, 2, 1, 2, 0, 4, 0, 3, 4, 4, 3, 3, 0, 0, 4, 3, 0, 0, 2, 0, 4, 1, 4, 3, 3, 4, 4, 1, 4, 3, 4, 4, 0, 0, 1, 2, 3, 1, 4, 3, 3, 4, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 3, 1, 3, 3, 0, 1, 0, 1, 3, 4, 1, 2, 2, 0, 4, 1, 1, 3, 1, 1, 4, 1, 2, 1, 1, 1, 3, 3, 3, 1, 0, 4, 3, 4, 1, 2, 3, 4, 1, 0, 0, 3, 4, 4, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 4, 3, 1, 1, 4, 2, 0, 2, 0, 1, 4, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 3, 1, 0, 1, 3, 2, 2, 2, 4, 3, 0, 1, 3, 2, 1, 3, 0, 4, 3, 3, 0, 0, 3, 4, 3, 4, 3, 2, 3, 2, 0, 0, 0, 4, 2, 2, 3, 4, 1, 2, 2, 1, 4, 0, 1, 0, 3, 4, 1, 4, 3, 3, 2, 1, 4, 4, 1, 1, 4, 2, 1, 0, 4, 4, 2, 0, 3, 3, 0, 4, 0, 0, 1, 3, 4, 0, 2, 0, 0, 3, 1, 3, 4, 1, 3, 4, 4, 3, 3, 0, 0, 3, 3]
pubkeycol1111 = [4, 0, 0, 0, 3, 0, 3, 4, 4, 0, 0, 0, 2, 3, 3, 2, 2, 2, 2, 4, 3, 3, 3, 1, 1, 2, 1, 2, 1, 1, 2, 4, 3, 4, 1, 4, 0, 0, 1, 1, 4, 4, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 0, 1, 0, 1, 1, 3, 4, 3, 4, 4, 3, 4, 4, 0, 2, 2, 4, 1, 0, 3, 1, 2, 2, 4, 2, 2, 1, 1, 4, 2, 2, 2, 2, 2, 0, 1, 3, 3, 4, 3, 0, 0, 0, 2, 4, 3, 1, 2, 0, 2, 0, 3, 2, 3, 0, 2, 0, 1, 4, 2, 1, 0, 2, 0, 3, 4, 1, 2, 4, 4, 4, 1, 3, 4, 0, 1, 2, 0, 4, 3, 1, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 3, 4, 2, 3, 2, 0, 0, 0, 2, 2, 0, 3, 4, 3, 4, 4, 4, 3, 1, 2, 3, 0, 2, 1, 4, 4, 3, 4, 1, 2, 3, 1, 1, 0, 0, 4, 0, 3, 1, 3, 2, 1, 3, 4, 3, 1, 4, 1, 0, 3, 2, 4, 3, 4, 2, 2, 3, 2, 2, 0, 0, 1, 4, 2, 2, 1, 3, 2, 4, 0, 1, 0, 1, 1, 2, 1, 3, 1, 4, 2, 4, 3, 4, 2, 2, 4, 4, 0, 2, 3, 3, 2, 3, 0, 1, 2, 1, 1, 4, 4, 1, 0, 1, 3, 1, 0, 1, 1, 1, 0, 4, 0, 2, 0, 3, 1, 3, 2, 1, 4, 0, 4, 3, 3, 1, 1, 4, 1, 3, 3, 0, 1, 2, 0, 3, 0, 3, 4, 0, 2, 2, 3, 2, 3, 0, 4, 1, 3, 1, 3, 3, 0, 3, 4, 4, 3, 4, 4, 2, 2, 2, 1, 1, 2, 4, 3, 1, 3, 4, 1, 2, 0, 1, 1, 1, 2, 4, 3, 0, 2, 4, 2, 2, 2, 3, 4, 2, 3, 2, 0, 0, 2, 1, 0, 2, 1, 3, 3, 2, 0, 3, 2, 3, 1, 3, 4, 3, 3, 0, 4, 2, 4, 2, 4, 1, 2, 0, 3, 1, 3, 2, 2, 2, 1, 3, 3, 0, 3, 4, 4, 2, 0, 2, 1, 1, 0, 4, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 3, 0, 0, 2, 4, 1, 2, 0, 0]
pubkeycol1112 = [1, 2, 4, 0, 3, 4, 3, 3, 0, 1, 4, 4, 3, 2, 0, 0, 3, 2, 0, 2, 4, 4, 1, 3, 2, 4, 1, 0, 4, 1, 3, 1, 4, 0, 3, 0, 4, 4, 0, 2, 1, 0, 1, 3, 3, 2, 1, 1, 3, 2, 0, 1, 3, 1, 2, 2, 0, 1, 2, 4, 3, 3, 1, 1, 1, 4, 0, 2, 0, 0, 3, 0, 1, 0, 2, 3, 0, 2, 2, 2, 0, 3, 3, 0, 1, 0, 0, 0, 1, 4, 3, 2, 0, 2, 4, 4, 1, 0, 2, 1, 2, 2, 3, 1, 1, 1, 2, 3, 0, 0, 3, 3, 0, 3, 2, 3, 0, 3, 4, 0, 0, 0, 2, 4, 0, 2, 3, 4, 4, 4, 2, 4, 2, 4, 3, 1, 2, 3, 3, 3, 1, 2, 3, 4, 0, 0, 2, 3, 1, 1, 2, 3, 4, 0, 2, 0, 1, 2, 0, 3, 4, 1, 4, 3, 2, 0, 2, 4, 1, 3, 2, 0, 1, 1, 4, 4, 3, 2, 2, 2, 0, 3, 4, 1, 1, 4, 3, 4, 4, 3, 2, 0, 4, 0, 4, 3, 0, 1, 3, 1, 4, 2, 0, 3, 4, 2, 1, 2, 4, 2, 0, 2, 2, 2, 2, 3, 4, 1, 3, 3, 2, 2, 0, 1, 4, 1, 3, 2, 4, 2, 1, 0, 1, 0, 3, 3, 0, 4, 2, 3, 2, 2, 2, 0, 0, 0, 2, 2, 3, 1, 1, 2, 1, 3, 2, 3, 4, 4, 2, 0, 1, 3, 0, 4, 1, 2, 3, 0, 3, 4, 4, 1, 0, 1, 4, 2, 4, 3, 4, 4, 3, 0, 2, 3, 1, 0, 2, 0, 4, 0, 4, 3, 0, 3, 0, 0, 0, 2, 2, 1, 2, 0, 3, 1, 1, 3, 3, 4, 0, 3, 0, 4, 3, 4, 0, 3, 0, 3, 1, 4, 1, 0, 4, 1, 3, 1, 2, 3, 4, 1, 0, 4, 3, 4, 1, 2, 2, 2, 0, 2, 1, 2, 4, 1, 4, 3, 2, 2, 3, 4, 2, 3, 1, 4, 1, 4, 1, 4, 3, 3, 0, 1, 2, 2, 4, 4, 1, 3, 1, 1, 0, 1, 2, 0, 0, 3, 3, 4, 4, 2, 2, 0, 3, 0, 4, 1, 4, 0, 0, 3, 3, 3, 1, 3, 0, 0, 1, 3, 1, 4]
pubkeycol1113 = [3, 4, 2, 3, 0, 1, 4, 1, 4, 1, 3, 4, 3, 4, 4, 0, 2, 1, 2, 2, 0, 3, 1, 3, 1, 0, 2, 1, 3, 0, 1, 0, 1, 4, 3, 2, 4, 3, 1, 1, 1, 1, 1, 2, 4, 3, 4, 0, 4, 4, 1, 4, 1, 1, 1, 4, 3, 1, 3, 4, 1, 1, 4, 4, 4, 0, 3, 0, 0, 1, 1, 1, 4, 0, 3, 2, 0, 1, 2, 4, 1, 1, 3, 0, 3, 4, 3, 0, 1, 1, 2, 3, 3, 1, 4, 1, 4, 4, 0, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 4, 0, 4, 1, 0, 2, 4, 2, 2, 4, 3, 1, 2, 1, 3, 1, 3, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 4, 2, 2, 1, 1, 0, 4, 1, 0, 0, 4, 0, 0, 3, 2, 3, 1, 0, 1, 4, 3, 2, 2, 0, 0, 2, 3, 3, 2, 3, 1, 1, 4, 2, 1, 4, 2, 4, 0, 4, 4, 4, 3, 3, 0, 3, 3, 4, 0, 4, 4, 2, 3, 1, 3, 1, 0, 0, 3, 0, 2, 1, 1, 2, 4, 1, 2, 4, 3, 4, 4, 3, 4, 3, 1, 1, 2, 4, 3, 1, 1, 4, 0, 2, 3, 3, 4, 0, 1, 2, 3, 4, 0, 0, 3, 3, 1, 2, 4, 2, 0, 4, 2, 3, 1, 4, 1, 0, 4, 0, 4, 1, 4, 1, 4, 4, 1, 0, 4, 2, 1, 1, 4, 1, 0, 3, 1, 4, 3, 0, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 0, 1, 4, 4, 3, 4, 4, 0, 4, 1, 1, 1, 4, 4, 4, 0, 0, 4, 0, 4, 1, 4, 0, 1, 1, 2, 2, 4, 2, 0, 1, 0, 4, 1, 1, 4, 3, 2, 1, 1, 4, 3, 1, 1, 4, 3, 0, 4, 0, 3, 3, 0, 4, 4, 3, 2, 4, 0, 2, 2, 1, 1, 3, 2, 3, 2, 3, 0, 1, 4, 4, 2, 2, 3, 4, 0, 3, 0, 0, 3, 3, 4, 4, 4, 4, 1, 0, 4, 4, 1, 0, 0, 0, 1, 2, 1, 4, 1, 0, 3, 3, 3, 0, 4, 3, 0, 2, 4, 2, 3, 4, 4, 2, 3, 0, 3, 1, 1, 2, 2, 0, 1, 1]
pubkeycol1114 = [0, 2, 0, 1, 1, 3, 0, 3, 0, 1, 4, 0, 2, 2, 2, 0, 1, 1, 1, 0, 4, 2, 0, 1, 4, 4, 1, 3, 2, 3, 3, 1, 3, 0, 4, 0, 2, 0, 0, 4, 1, 2, 1, 3, 1, 3, 1, 1, 2, 3, 3, 3, 0, 3, 3, 4, 4, 1, 2, 1, 2, 2, 2, 0, 3, 0, 4, 2, 0, 4, 2, 2, 3, 1, 1, 4, 2, 3, 4, 3, 1, 0, 2, 2, 3, 2, 0, 4, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 3, 4, 4, 0, 1, 3, 2, 0, 0, 3, 0, 3, 4, 0, 0, 3, 0, 3, 4, 1, 4, 0, 2, 3, 1, 3, 4, 0, 3, 0, 3, 2, 1, 1, 0, 1, 3, 2, 3, 3, 0, 3, 2, 3, 0, 0, 0, 1, 4, 0, 3, 2, 4, 4, 4, 1, 1, 1, 3, 0, 4, 1, 3, 2, 3, 2, 3, 1, 0, 1, 2, 3, 4, 2, 1, 1, 3, 1, 1, 4, 2, 0, 1, 4, 2, 1, 3, 0, 4, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 1, 0, 1, 0, 0, 4, 1, 2, 2, 4, 1, 4, 1, 1, 3, 1, 0, 0, 4, 1, 4, 2, 0, 0, 1, 2, 1, 2, 0, 3, 1, 1, 2, 2, 4, 2, 3, 4, 2, 0, 4, 4, 0, 2, 3, 4, 2, 0, 2, 3, 1, 1, 2, 3, 3, 1, 3, 4, 2, 1, 4, 2, 1, 3, 1, 4, 3, 2, 4, 3, 4, 1, 0, 2, 3, 2, 0, 4, 3, 2, 4, 2, 1, 3, 1, 2, 0, 2, 3, 2, 0, 4, 0, 4, 3, 2, 4, 0, 1, 1, 1, 2, 0, 4, 0, 2, 0, 3, 4, 1, 4, 1, 2, 4, 3, 3, 0, 1, 0, 1, 1, 2, 2, 2, 3, 0, 4, 2, 3, 2, 4, 4, 3, 3, 4, 3, 2, 0, 1, 0, 1, 0, 3, 1, 3, 0, 2, 4, 3, 0, 0, 1, 1, 4, 4, 0, 1, 1, 1, 0, 0, 4, 3, 1, 3, 0, 1, 1, 1, 3, 3, 0, 4, 2, 4, 1, 3, 4, 0, 0, 4, 1, 0, 0, 0, 2, 0, 4, 0, 1, 4, 4, 0, 1, 2, 1, 2, 3, 2, 4, 0, 4]
pubkeycol1115 = [2, 4, 2, 1, 1, 4, 1, 0, 2, 3, 2, 2, 2, 2, 4, 1, 2, 1, 3, 2, 2, 3, 3, 0, 0, 2, 4, 4, 4, 3, 2, 1, 2, 4, 2, 1, 4, 4, 3, 2, 1, 3, 2, 3, 3, 0, 4, 0, 2, 2, 2, 1, 4, 2, 1, 3, 1, 4, 0, 4, 4, 1, 4, 4, 3, 2, 0, 4, 3, 1, 4, 2, 0, 1, 3, 3, 4, 1, 0, 1, 2, 2, 0, 2, 4, 1, 0, 1, 2, 2, 4, 1, 2, 2, 1, 3, 3, 0, 1, 0, 3, 0, 1, 4, 3, 3, 1, 1, 1, 3, 3, 1, 0, 4, 1, 0, 4, 4, 0, 1, 4, 0, 0, 4, 1, 2, 0, 3, 2, 1, 3, 3, 3, 2, 4, 3, 4, 3, 0, 4, 3, 2, 1, 0, 1, 0, 2, 4, 3, 1, 4, 0, 3, 4, 3, 4, 2, 1, 3, 2, 0, 3, 1, 0, 1, 0, 4, 1, 2, 2, 1, 4, 1, 2, 0, 4, 2, 0, 4, 1, 4, 4, 1, 1, 3, 0, 1, 0, 3, 0, 0, 0, 3, 1, 2, 2, 1, 3, 3, 3, 3, 3, 0, 3, 0, 1, 1, 2, 3, 2, 0, 2, 1, 3, 3, 4, 1, 1, 3, 4, 2, 0, 2, 2, 4, 3, 4, 3, 1, 4, 4, 0, 0, 4, 2, 0, 3, 2, 3, 0, 0, 4, 2, 3, 4, 3, 2, 4, 3, 2, 4, 4, 3, 0, 2, 4, 1, 0, 4, 2, 3, 3, 1, 4, 2, 3, 1, 3, 4, 0, 4, 2, 0, 1, 2, 3, 2, 2, 2, 3, 0, 0, 2, 1, 0, 0, 0, 1, 3, 4, 1, 2, 3, 1, 3, 2, 3, 1, 4, 4, 0, 2, 1, 3, 4, 3, 3, 3, 3, 1, 4, 2, 3, 2, 3, 3, 2, 2, 3, 0, 0, 2, 1, 0, 4, 2, 2, 3, 4, 0, 0, 1, 3, 0, 4, 3, 4, 4, 0, 0, 0, 4, 0, 3, 0, 1, 4, 0, 0, 1, 2, 2, 2, 2, 4, 3, 0, 2, 4, 3, 1, 4, 2, 3, 1, 3, 2, 3, 1, 3, 4, 4, 0, 2, 4, 3, 3, 0, 2, 3, 2, 2, 0, 4, 4, 4, 0, 1, 4, 2, 3, 0, 0, 0, 2, 4, 3, 4, 2, 3]
pubkeycol1116 = [1, 4, 1, 0, 1, 2, 4, 2, 1, 2, 1, 4, 1, 3, 4, 0, 3, 2, 1, 1, 4, 2, 1, 2, 3, 0, 0, 4, 2, 0, 1, 3, 0, 1, 2, 3, 1, 4, 4, 1, 0, 3, 1, 3, 4, 4, 4, 0, 0, 3, 1, 4, 0, 0, 0, 1, 3, 3, 0, 3, 2, 1, 2, 0, 0, 1, 0, 2, 0, 3, 2, 4, 2, 4, 4, 0, 4, 4, 2, 3, 4, 0, 3, 1, 2, 1, 3, 3, 0, 0, 0, 1, 2, 1, 3, 3, 4, 0, 1, 2, 4, 2, 3, 0, 0, 0, 0, 0, 3, 4, 0, 2, 0, 3, 3, 4, 1, 3, 3, 1, 1, 4, 0, 0, 4, 3, 1, 3, 0, 0, 0, 2, 4, 2, 3, 4, 3, 3, 1, 4, 4, 4, 0, 3, 0, 2, 1, 1, 2, 4, 0, 1, 0, 1, 0, 0, 3, 0, 4, 1, 0, 2, 0, 3, 2, 3, 4, 1, 0, 2, 3, 4, 2, 3, 0, 4, 2, 0, 0, 0, 2, 2, 4, 0, 0, 2, 3, 3, 2, 3, 3, 3, 1, 0, 4, 1, 1, 2, 2, 3, 0, 1, 4, 2, 2, 3, 4, 1, 4, 1, 2, 4, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 4, 2, 1, 4, 2, 2, 2, 3, 1, 4, 0, 0, 1, 3, 2, 3, 3, 2, 0, 0, 1, 2, 4, 0, 4, 4, 3, 0, 2, 2, 4, 3, 2, 2, 2, 4, 3, 0, 3, 4, 1, 4, 4, 2, 1, 3, 2, 4, 1, 3, 1, 0, 3, 4, 1, 1, 4, 0, 1, 3, 4, 0, 3, 3, 3, 0, 1, 0, 2, 3, 4, 3, 4, 4, 1, 3, 0, 2, 3, 0, 0, 1, 4, 2, 4, 4, 0, 2, 4, 2, 4, 0, 0, 4, 2, 3, 1, 3, 0, 4, 2, 3, 2, 1, 2, 4, 2, 2, 4, 3, 0, 3, 0, 0, 1, 2, 4, 2, 3, 2, 2, 4, 1, 2, 0, 4, 4, 0, 3, 0, 3, 4, 1, 0, 1, 0, 1, 2, 3, 1, 3, 1, 1, 0, 2, 4, 2, 4, 0, 3, 2, 4, 0, 3, 3, 0, 1, 4, 2, 2, 4, 4, 1, 4, 4, 1, 3, 3, 1, 2]
pubkeycol1117 = [2, 2, 2, 0, 2, 1, 4, 3, 3, 1, 3, 1, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 4, 0, 3, 1, 1, 0, 1, 2, 3, 4, 1, 0, 2, 0, 4, 1, 2, 1, 0, 1, 2, 1, 3, 0, 3, 0, 1, 0, 4, 2, 2, 0, 4, 0, 0, 4, 2, 1, 3, 0, 0, 0, 2, 3, 1, 3, 0, 0, 3, 3, 4, 2, 3, 4, 2, 2, 3, 2, 3, 1, 0, 3, 3, 2, 0, 0, 2, 1, 0, 0, 1, 0, 3, 0, 1, 0, 3, 2, 3, 3, 1, 3, 2, 2, 2, 3, 0, 0, 2, 2, 3, 0, 1, 0, 1, 3, 0, 1, 0, 0, 0, 0, 0, 3, 3, 1, 2, 0, 0, 1, 2, 1, 2, 1, 3, 2, 3, 4, 1, 4, 4, 3, 4, 1, 0, 2, 3, 2, 1, 3, 1, 4, 4, 2, 0, 2, 3, 3, 2, 0, 1, 1, 0, 4, 3, 1, 1, 3, 1, 3, 0, 1, 1, 3, 3, 0, 4, 1, 1, 4, 4, 1, 3, 0, 1, 0, 3, 1, 3, 2, 1, 2, 2, 3, 1, 1, 0, 2, 4, 4, 0, 0, 3, 3, 2, 4, 1, 2, 4, 3, 2, 2, 0, 3, 4, 1, 3, 0, 2, 1, 0, 1, 1, 3, 3, 2, 2, 2, 1, 0, 4, 4, 0, 0, 3, 3, 1, 3, 1, 3, 4, 3, 0, 0, 2, 0, 4, 1, 0, 4, 2, 3, 0, 2, 0, 1, 1, 3, 4, 0, 1, 4, 2, 4, 1, 0, 3, 4, 1, 2, 2, 4, 4, 0, 2, 2, 4, 0, 4, 1, 3, 4, 2, 4, 1, 4, 2, 3, 2, 1, 2, 3, 4, 3, 2, 1, 3, 0, 3, 1, 4, 1, 4, 1, 0, 2, 4, 1, 1, 4, 2, 3, 2, 4, 4, 0, 0, 3, 0, 0, 1, 3, 2, 3, 1, 1, 2, 4, 4, 2, 3, 4, 2, 1, 0, 2, 3, 0, 2, 1, 1, 3, 0, 2, 2, 3, 1, 1, 0, 2, 1, 3, 3, 4, 0, 2, 1, 1, 3, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 2, 2, 3, 2, 2, 2, 1, 2, 3, 0, 3, 1, 3, 0, 4, 1, 3, 4, 0, 1, 2, 1, 4, 2, 0, 1, 2, 1]
pubkeycol1118 = [0, 1, 2, 0, 3, 2, 2, 2, 3, 4, 3, 2, 3, 0, 2, 2, 4, 0, 2, 2, 0, 3, 1, 2, 3, 2, 4, 0, 1, 4, 0, 0, 2, 4, 3, 1, 1, 1, 3, 2, 3, 1, 4, 2, 4, 2, 4, 3, 3, 3, 0, 2, 0, 4, 1, 1, 2, 4, 0, 0, 1, 4, 2, 1, 3, 4, 2, 3, 0, 0, 2, 2, 1, 4, 4, 1, 2, 3, 3, 4, 4, 4, 1, 0, 1, 4, 0, 0, 0, 1, 4, 1, 1, 2, 3, 0, 4, 3, 1, 3, 4, 1, 3, 4, 0, 0, 3, 3, 0, 2, 4, 4, 1, 2, 2, 0, 3, 0, 4, 4, 4, 4, 2, 3, 3, 4, 3, 4, 4, 1, 2, 3, 4, 1, 0, 4, 4, 4, 3, 4, 2, 3, 2, 3, 0, 2, 2, 4, 1, 4, 2, 4, 2, 4, 2, 4, 1, 2, 0, 3, 4, 0, 4, 2, 0, 4, 1, 4, 0, 1, 2, 3, 4, 1, 2, 1, 2, 0, 0, 2, 3, 1, 4, 4, 3, 3, 3, 2, 3, 3, 1, 1, 4, 0, 2, 3, 2, 4, 4, 2, 2, 3, 0, 1, 3, 4, 1, 2, 0, 4, 4, 3, 4, 2, 2, 3, 4, 0, 1, 2, 2, 3, 3, 0, 0, 2, 0, 1, 3, 2, 0, 0, 2, 2, 4, 2, 1, 2, 3, 0, 4, 2, 0, 1, 3, 2, 0, 0, 1, 4, 1, 1, 0, 1, 3, 1, 1, 3, 4, 2, 4, 4, 4, 1, 3, 4, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 2, 4, 2, 1, 0, 3, 0, 0, 0, 2, 2, 4, 1, 4, 0, 3, 2, 1, 2, 2, 1, 2, 3, 0, 2, 3, 2, 3, 4, 1, 3, 3, 0, 4, 0, 3, 3, 1, 1, 2, 0, 3, 2, 0, 4, 4, 3, 0, 4, 1, 2, 0, 0, 3, 3, 2, 3, 3, 0, 0, 3, 1, 2, 1, 4, 1, 3, 4, 2, 4, 4, 3, 0, 1, 0, 1, 0, 0, 4, 3, 4, 4, 0, 3, 2, 3, 0, 4, 4, 1, 4, 1, 1, 4, 1, 0, 4, 2, 2, 0, 0, 3, 2, 0, 0, 0, 3, 1, 4, 1, 2, 0, 2, 3, 2, 4, 2, 4, 1, 2, 1, 4, 2, 4]
pubkeycol1119 = [2, 0, 4, 3, 2, 3, 4, 2, 0, 4, 2, 1, 0, 1, 0, 2, 0, 4, 2, 3, 0, 4, 2, 0, 0, 1, 3, 4, 0, 1, 4, 4, 0, 0, 0, 4, 0, 4, 3, 0, 2, 4, 2, 0, 3, 2, 0, 4, 0, 0, 3, 4, 2, 1, 1, 0, 0, 0, 1, 4, 0, 3, 3, 1, 3, 3, 2, 3, 1, 1, 2, 1, 2, 0, 2, 0, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 3, 4, 3, 1, 0, 1, 3, 1, 0, 4, 0, 3, 0, 0, 1, 4, 1, 3, 2, 4, 1, 1, 0, 3, 0, 2, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 1, 4, 1, 4, 1, 2, 1, 0, 0, 0, 4, 3, 3, 1, 1, 3, 2, 1, 2, 1, 3, 3, 2, 2, 4, 2, 2, 4, 2, 0, 1, 3, 3, 1, 0, 3, 3, 1, 2, 3, 3, 3, 2, 4, 1, 4, 2, 0, 3, 4, 0, 1, 4, 0, 3, 3, 2, 2, 3, 1, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 1, 2, 4, 1, 4, 4, 0, 1, 2, 4, 1, 0, 1, 2, 2, 4, 3, 0, 1, 1, 4, 0, 1, 0, 3, 4, 0, 1, 1, 1, 3, 1, 3, 3, 1, 4, 1, 1, 3, 2, 0, 3, 1, 0, 4, 4, 4, 4, 1, 4, 2, 1, 2, 4, 3, 0, 1, 1, 1, 3, 0, 2, 0, 4, 0, 4, 4, 4, 1, 4, 1, 4, 2, 3, 2, 3, 0, 0, 0, 4, 2, 4, 2, 1, 1, 1, 3, 0, 3, 0, 0, 1, 1, 4, 4, 3, 2, 3, 0, 3, 1, 0, 2, 0, 1, 4, 0, 3, 0, 3, 3, 1, 1, 1, 0, 1, 4, 0, 3, 2, 3, 0, 3, 2, 2, 4, 3, 2, 3, 1, 4, 4, 3, 3, 1, 2, 3, 4, 1, 1, 0, 3, 2, 2, 0, 4, 0, 4, 1, 1, 4, 0, 0, 4, 4, 2, 4, 4, 0, 2, 4, 3, 4, 3, 2, 4, 0, 3, 0, 4, 1, 3, 4, 0, 3, 3, 2, 3, 3, 4, 4, 0, 0, 2, 3, 2, 0, 4, 4, 4, 0, 0, 1, 4, 2, 0, 0, 0, 3, 2, 3, 3, 3, 2, 0, 0, 2, 1]
pubkeycol1120 = [0, 4, 0, 4, 1, 3, 0, 1, 3, 0, 3, 2, 2, 0, 0, 0, 4, 2, 3, 4, 0, 2, 1, 1, 2, 2, 1, 3, 2, 1, 3, 0, 0, 3, 0, 3, 2, 1, 4, 1, 0, 0, 2, 0, 4, 1, 1, 3, 0, 3, 1, 4, 3, 3, 4, 0, 3, 1, 0, 2, 1, 2, 4, 4, 2, 4, 0, 3, 4, 4, 3, 0, 4, 0, 3, 3, 3, 4, 2, 3, 4, 4, 0, 1, 1, 2, 4, 4, 0, 3, 2, 3, 4, 1, 1, 2, 1, 1, 4, 2, 2, 2, 3, 2, 0, 1, 4, 0, 2, 0, 0, 1, 0, 3, 3, 4, 2, 1, 4, 0, 2, 3, 0, 1, 0, 1, 1, 2, 4, 2, 4, 4, 4, 2, 4, 0, 1, 2, 2, 1, 2, 4, 3, 0, 3, 4, 4, 1, 1, 0, 1, 4, 3, 3, 4, 1, 1, 3, 2, 4, 0, 1, 4, 1, 4, 4, 4, 3, 0, 1, 2, 1, 2, 0, 3, 4, 0, 0, 0, 1, 1, 4, 1, 2, 1, 3, 3, 0, 1, 0, 4, 3, 1, 3, 3, 3, 0, 1, 0, 3, 3, 0, 0, 0, 0, 3, 2, 4, 2, 2, 4, 1, 3, 2, 0, 4, 1, 1, 2, 2, 1, 4, 2, 0, 1, 3, 4, 0, 2, 3, 0, 3, 1, 1, 2, 2, 3, 0, 1, 1, 4, 3, 1, 0, 3, 4, 0, 4, 4, 4, 2, 4, 3, 4, 1, 0, 3, 0, 0, 0, 0, 3, 1, 3, 1, 2, 3, 2, 0, 2, 0, 2, 3, 1, 3, 0, 4, 1, 1, 4, 0, 1, 1, 4, 4, 0, 2, 3, 4, 4, 0, 0, 0, 0, 0, 4, 1, 2, 2, 1, 4, 0, 4, 1, 2, 3, 3, 2, 0, 4, 0, 0, 1, 4, 3, 1, 1, 4, 0, 3, 2, 4, 4, 3, 1, 1, 3, 0, 4, 1, 0, 0, 1, 1, 0, 2, 4, 2, 0, 3, 1, 1, 0, 2, 0, 3, 3, 0, 1, 3, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 4, 0, 1, 4, 2, 0, 3, 1, 3, 0, 4, 3, 0, 2, 1, 4, 1, 4, 3, 4, 1, 1, 1, 1, 3, 1, 2, 1]
pubkeycol1121 = [3, 3, 1, 1, 0, 4, 2, 0, 1, 3, 0, 3, 1, 4, 0, 0, 0, 1, 1, 4, 1, 3, 0, 3, 1, 0, 1, 0, 3, 1, 4, 4, 4, 2, 2, 4, 4, 2, 4, 1, 2, 4, 2, 0, 2, 0, 1, 0, 4, 3, 2, 1, 1, 4, 1, 1, 2, 0, 2, 4, 2, 4, 2, 1, 1, 1, 1, 0, 3, 4, 1, 0, 0, 1, 0, 4, 3, 0, 2, 4, 2, 4, 3, 0, 1, 1, 1, 0, 3, 2, 1, 3, 0, 0, 3, 1, 3, 2, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 4, 3, 0, 4, 2, 2, 3, 1, 4, 1, 4, 3, 1, 3, 4, 3, 0, 2, 4, 2, 0, 1, 2, 3, 0, 3, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 4, 0, 4, 3, 1, 0, 2, 2, 3, 4, 2, 2, 0, 2, 2, 2, 0, 2, 1, 3, 2, 1, 4, 2, 3, 3, 3, 0, 0, 0, 1, 1, 3, 2, 4, 2, 1, 3, 4, 4, 4, 2, 4, 4, 0, 4, 2, 3, 0, 2, 0, 4, 1, 4, 2, 2, 1, 4, 1, 1, 2, 4, 4, 2, 1, 1, 0, 2, 2, 0, 0, 4, 3, 3, 1, 0, 4, 1, 3, 1, 2, 2, 3, 3, 3, 1, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 4, 2, 2, 0, 0, 2, 3, 4, 4, 0, 4, 1, 3, 2, 0, 2, 0, 0, 2, 4, 2, 2, 0, 0, 2, 4, 2, 0, 1, 0, 1, 1, 2, 4, 2, 4, 4, 0, 3, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 4, 0, 2, 4, 1, 3, 1, 3, 2, 0, 0, 1, 2, 0, 4, 2, 2, 1, 3, 0, 2, 4, 1, 4, 3, 4, 1, 3, 1, 0, 2, 4, 2, 2, 4, 2, 0, 3, 0, 4, 0, 0, 2, 1, 0, 3, 4, 1, 2, 3, 0, 2, 0, 2, 4, 3, 0, 1, 0, 2, 0, 3, 1, 0, 1, 1, 3, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 4, 0, 0, 3, 0, 0, 0, 2, 4, 3, 3, 2, 0, 0, 3, 0, 0, 4, 2, 2, 1, 2, 2, 0, 4, 4, 3, 2, 2]
pubkeycol1122 = [0, 4, 0, 3, 4, 2, 3, 3, 2, 0, 2, 3, 2, 4, 1, 1, 2, 2, 2, 3, 3, 2, 2, 4, 3, 2, 0, 4, 0, 3, 2, 1, 1, 1, 2, 4, 4, 1, 0, 3, 0, 3, 4, 3, 3, 1, 3, 0, 2, 2, 0, 1, 1, 3, 1, 1, 3, 2, 4, 4, 3, 0, 0, 2, 3, 1, 4, 0, 4, 3, 1, 4, 3, 1, 1, 4, 2, 4, 3, 3, 1, 2, 2, 1, 1, 4, 2, 1, 1, 4, 2, 4, 2, 1, 3, 3, 0, 4, 2, 1, 0, 3, 1, 0, 0, 0, 0, 4, 1, 2, 2, 3, 1, 1, 2, 2, 4, 2, 2, 0, 3, 4, 1, 4, 2, 0, 1, 1, 1, 4, 0, 2, 2, 0, 3, 0, 1, 3, 4, 3, 3, 0, 4, 4, 2, 0, 4, 3, 1, 2, 2, 2, 2, 0, 3, 2, 1, 2, 0, 4, 0, 4, 3, 3, 3, 3, 4, 2, 2, 1, 4, 0, 2, 0, 2, 1, 1, 2, 3, 3, 2, 4, 3, 3, 2, 1, 2, 0, 0, 0, 4, 3, 4, 2, 1, 2, 2, 1, 2, 4, 0, 3, 3, 4, 4, 1, 1, 1, 0, 0, 0, 4, 1, 0, 2, 0, 0, 1, 0, 3, 3, 4, 3, 2, 1, 4, 2, 2, 0, 4, 0, 0, 2, 2, 4, 1, 1, 1, 3, 3, 2, 3, 1, 0, 3, 0, 0, 0, 4, 3, 0, 2, 0, 2, 3, 2, 0, 0, 4, 4, 0, 2, 0, 4, 3, 2, 1, 1, 4, 2, 1, 1, 4, 2, 0, 2, 4, 1, 0, 4, 1, 3, 3, 3, 4, 4, 0, 3, 1, 3, 1, 4, 4, 1, 4, 1, 1, 3, 0, 0, 0, 3, 0, 4, 0, 3, 0, 2, 0, 4, 1, 3, 2, 4, 0, 2, 0, 1, 2, 4, 1, 4, 3, 2, 1, 4, 1, 3, 0, 2, 2, 3, 2, 0, 1, 0, 2, 0, 2, 1, 3, 2, 2, 4, 4, 1, 3, 4, 3, 0, 2, 0, 1, 2, 3, 3, 1, 0, 0, 4, 1, 4, 1, 0, 0, 0, 3, 4, 3, 4, 0, 3, 3, 3, 3, 1, 2, 3, 3, 0, 1, 3, 3, 0, 4, 2, 4, 0, 4, 3, 1, 2, 4, 3, 3, 0, 2, 4, 2, 4]
pubkeycol1123 = [0, 1, 3, 3, 1, 2, 0, 1, 0, 1, 3, 3, 1, 2, 4, 0, 4, 2, 1, 1, 4, 0, 4, 0, 0, 2, 3, 0, 3, 4, 3, 0, 1, 1, 1, 1, 4, 4, 2, 2, 1, 4, 3, 1, 2, 4, 3, 1, 4, 0, 3, 2, 4, 1, 4, 1, 2, 2, 2, 4, 4, 2, 4, 2, 4, 1, 1, 0, 3, 2, 1, 3, 3, 3, 2, 2, 0, 3, 2, 0, 4, 2, 3, 1, 0, 0, 2, 0, 1, 3, 2, 1, 2, 3, 0, 4, 1, 2, 0, 0, 3, 1, 3, 1, 1, 2, 4, 1, 3, 3, 3, 1, 0, 4, 1, 2, 4, 0, 4, 0, 3, 3, 1, 2, 3, 4, 1, 3, 0, 0, 2, 2, 1, 1, 0, 1, 4, 0, 3, 3, 1, 4, 2, 4, 0, 0, 1, 1, 3, 0, 4, 4, 3, 3, 3, 4, 0, 3, 2, 2, 4, 4, 1, 4, 3, 4, 3, 1, 2, 0, 2, 1, 0, 1, 3, 0, 3, 1, 0, 4, 4, 4, 4, 3, 4, 1, 1, 3, 2, 3, 4, 1, 3, 3, 0, 1, 2, 2, 2, 4, 3, 4, 1, 0, 3, 2, 0, 4, 4, 0, 3, 2, 4, 1, 2, 3, 3, 1, 1, 0, 3, 4, 3, 3, 0, 4, 4, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 3, 0, 4, 2, 4, 2, 4, 1, 4, 4, 1, 0, 0, 4, 3, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 4, 1, 4, 3, 2, 1, 1, 3, 2, 0, 0, 3, 0, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 3, 4, 0, 4, 0, 1, 1, 4, 4, 1, 0, 0, 2, 3, 1, 4, 3, 0, 4, 0, 3, 1, 2, 4, 4, 0, 4, 2, 0, 3, 1, 0, 0, 2, 3, 0, 1, 0, 1, 4, 3, 3, 1, 1, 2, 1, 4, 0, 3, 3, 4, 4, 0, 1, 4, 1, 3, 2, 3, 0, 0, 2, 3, 0, 2, 0, 4, 4, 4, 4, 2, 3, 3, 2, 2, 3, 3, 1, 4, 2, 0, 4, 3, 2, 3, 1, 4, 4, 3, 2, 0, 3, 4, 0, 2, 1, 1, 3, 1, 0, 4, 0, 3, 4, 3, 0, 1]
pubkeycol1124 = [4, 3, 4, 3, 1, 0, 2, 0, 1, 3, 3, 0, 1, 0, 3, 0, 3, 3, 0, 0, 3, 4, 2, 4, 2, 1, 4, 0, 3, 0, 2, 4, 4, 4, 3, 4, 1, 3, 3, 3, 2, 1, 3, 1, 1, 1, 3, 2, 2, 0, 1, 2, 3, 0, 4, 1, 3, 2, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 2, 4, 3, 2, 0, 0, 3, 2, 0, 0, 4, 1, 4, 1, 1, 0, 3, 1, 4, 2, 2, 0, 2, 2, 2, 4, 2, 1, 2, 4, 0, 3, 2, 2, 4, 2, 2, 2, 2, 3, 4, 1, 1, 2, 3, 3, 0, 4, 3, 0, 3, 3, 2, 4, 1, 3, 2, 3, 0, 1, 0, 2, 2, 2, 0, 3, 3, 4, 3, 1, 4, 4, 2, 2, 4, 0, 1, 3, 2, 1, 2, 3, 1, 0, 3, 4, 2, 4, 4, 3, 1, 2, 1, 3, 4, 0, 0, 1, 2, 4, 0, 3, 3, 4, 3, 3, 3, 2, 4, 1, 1, 1, 0, 3, 4, 4, 3, 0, 4, 4, 2, 4, 3, 3, 2, 1, 1, 3, 0, 3, 4, 3, 4, 3, 1, 0, 3, 4, 4, 4, 1, 3, 0, 1, 0, 4, 4, 2, 2, 0, 4, 1, 4, 3, 4, 1, 0, 2, 2, 3, 4, 1, 2, 0, 4, 0, 1, 3, 0, 0, 3, 1, 0, 4, 2, 1, 3, 3, 2, 3, 0, 0, 2, 0, 2, 1, 3, 4, 4, 3, 0, 3, 3, 3, 2, 2, 1, 1, 0, 0, 2, 1, 3, 1, 3, 1, 1, 2, 2, 4, 2, 3, 4, 2, 3, 3, 3, 1, 2, 1, 2, 4, 1, 2, 3, 2, 0, 3, 0, 3, 1, 3, 0, 3, 3, 4, 0, 1, 1, 3, 3, 1, 4, 3, 0, 4, 1, 1, 2, 3, 1, 4, 0, 3, 2, 4, 1, 1, 3, 1, 3, 2, 1, 2, 2, 2, 3, 1, 2, 4, 1, 4, 0, 1, 1, 4, 1, 3, 0, 3, 3, 2, 4, 0, 3, 4, 0, 3, 1, 1, 3, 1, 1, 1, 0, 0, 4, 1, 4, 4, 4, 4, 4, 2, 3, 2, 2, 0, 0, 1, 4, 2, 1, 3, 0, 3, 2, 2, 3, 2, 4, 2, 3, 3, 0, 2, 0, 3, 0, 3]
pubkeycol1125 = [0, 0, 4, 4, 1, 0, 0, 3, 1, 0, 4, 4, 4, 0, 2, 4, 0, 4, 4, 3, 0, 4, 0, 4, 1, 4, 1, 3, 1, 2, 3, 2, 2, 1, 0, 1, 4, 4, 3, 1, 2, 2, 0, 0, 4, 1, 1, 1, 1, 3, 1, 4, 3, 2, 1, 2, 0, 3, 3, 4, 3, 2, 4, 2, 4, 0, 3, 2, 0, 1, 1, 1, 4, 0, 1, 4, 1, 1, 1, 2, 2, 4, 0, 4, 4, 2, 1, 2, 4, 0, 3, 0, 3, 2, 0, 0, 4, 3, 4, 4, 2, 3, 2, 4, 4, 2, 1, 1, 4, 0, 4, 1, 2, 4, 4, 4, 1, 4, 0, 1, 1, 4, 2, 3, 3, 1, 1, 4, 4, 4, 4, 4, 1, 2, 2, 2, 3, 2, 0, 3, 2, 3, 2, 3, 4, 3, 1, 0, 3, 3, 3, 3, 4, 4, 1, 1, 1, 4, 1, 0, 2, 2, 1, 1, 1, 2, 4, 1, 2, 3, 4, 3, 4, 2, 3, 2, 0, 0, 0, 2, 4, 3, 0, 3, 0, 4, 2, 2, 4, 0, 1, 0, 4, 4, 0, 3, 4, 1, 1, 0, 4, 1, 0, 2, 4, 3, 1, 1, 2, 4, 4, 1, 0, 4, 3, 1, 2, 1, 4, 2, 3, 4, 1, 2, 3, 2, 1, 4, 1, 2, 0, 2, 2, 2, 2, 2, 0, 3, 2, 1, 3, 2, 2, 4, 3, 2, 2, 1, 3, 2, 2, 1, 3, 4, 3, 4, 2, 4, 0, 2, 2, 1, 1, 0, 3, 2, 4, 3, 2, 1, 0, 4, 2, 2, 0, 4, 1, 0, 2, 3, 1, 3, 1, 4, 3, 3, 1, 1, 4, 2, 4, 0, 1, 0, 4, 2, 3, 4, 4, 2, 4, 0, 2, 1, 1, 3, 3, 4, 0, 1, 0, 3, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 0, 3, 1, 4, 0, 4, 1, 2, 2, 1, 4, 4, 0, 3, 0, 4, 0, 0, 3, 2, 0, 3, 1, 2, 3, 0, 4, 0, 4, 2, 3, 4, 2, 3, 3, 4, 2, 4, 0, 1, 0, 2, 0, 4, 0, 0, 2, 4, 3, 3, 3, 2, 1, 2, 2, 4, 3, 2, 0, 4, 0, 1, 2, 0, 3, 1, 2, 0, 1, 3, 0, 2, 3, 2, 4, 4, 3, 1]
pubkeycol1126 = [1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 3, 0, 4, 3, 3, 2, 1, 4, 3, 1, 3, 0, 3, 1, 2, 1, 3, 1, 1, 1, 1, 0, 1, 2, 2, 1, 3, 3, 2, 4, 4, 3, 1, 4, 4, 0, 0, 2, 2, 2, 3, 3, 2, 4, 0, 0, 3, 2, 1, 0, 1, 4, 2, 1, 1, 0, 2, 0, 1, 4, 4, 4, 2, 3, 2, 4, 4, 3, 4, 3, 3, 4, 0, 2, 2, 2, 0, 2, 0, 2, 2, 3, 0, 2, 0, 1, 1, 0, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 0, 4, 3, 3, 3, 4, 2, 3, 0, 0, 0, 2, 2, 0, 0, 2, 3, 4, 2, 2, 3, 4, 1, 0, 0, 0, 3, 2, 3, 0, 0, 3, 0, 0, 2, 2, 3, 0, 4, 3, 1, 2, 4, 2, 2, 0, 0, 4, 3, 0, 4, 3, 2, 0, 0, 0, 0, 1, 1, 4, 2, 3, 0, 0, 0, 2, 2, 1, 2, 3, 0, 4, 3, 2, 3, 0, 2, 0, 2, 3, 4, 3, 4, 4, 3, 0, 0, 1, 3, 2, 0, 1, 2, 0, 1, 4, 3, 0, 2, 4, 3, 2, 0, 2, 2, 4, 1, 4, 2, 0, 4, 1, 1, 3, 3, 4, 0, 1, 2, 0, 2, 1, 1, 0, 3, 0, 1, 2, 0, 4, 0, 0, 0, 4, 3, 3, 0, 1, 2, 3, 1, 3, 2, 4, 2, 1, 3, 4, 3, 2, 3, 3, 0, 0, 2, 1, 2, 3, 3, 4, 2, 0, 3, 4, 3, 3, 3, 4, 4, 4, 1, 1, 0, 3, 3, 3, 0, 4, 1, 3, 0, 1, 1, 4, 0, 3, 2, 1, 3, 4, 2, 4, 0, 4, 4, 4, 4, 4, 1, 3, 3, 0, 1, 2, 1, 1, 2, 3, 3, 2, 1, 0, 1, 2, 4, 0, 0, 1, 3, 1, 3, 1, 2, 1, 0, 2, 2, 3, 2, 3, 1, 4, 3, 0, 2, 4, 3, 1, 0, 0, 3, 0, 3, 4, 1, 1, 1, 0, 0, 3, 2, 2, 0, 4, 3, 0, 0, 2, 2, 1, 4, 3, 4, 3, 0, 2, 1, 2, 0, 3, 1, 4, 0, 0, 4, 2, 0, 1, 2, 0, 3, 3, 3, 2, 0, 1, 2, 2, 4, 0, 1]
pubkeycol1127 = [1, 3, 4, 2, 2, 2, 4, 1, 0, 0, 0, 3, 3, 2, 3, 3, 0, 0, 4, 4, 1, 0, 4, 1, 2, 4, 0, 0, 4, 1, 0, 0, 4, 1, 3, 2, 3, 4, 2, 2, 1, 4, 1, 2, 3, 0, 2, 4, 0, 3, 2, 1, 0, 1, 3, 3, 1, 1, 4, 1, 4, 3, 0, 4, 3, 1, 4, 0, 4, 1, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 4, 2, 0, 2, 4, 1, 0, 2, 1, 4, 1, 2, 3, 2, 0, 0, 3, 2, 0, 1, 3, 1, 2, 3, 2, 3, 4, 2, 1, 4, 4, 4, 0, 0, 0, 3, 0, 1, 4, 4, 4, 3, 2, 1, 4, 4, 2, 4, 3, 3, 2, 1, 0, 1, 2, 2, 0, 3, 4, 2, 4, 0, 4, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 3, 4, 0, 1, 4, 4, 2, 4, 3, 3, 1, 3, 2, 2, 2, 0, 2, 3, 0, 3, 3, 4, 1, 2, 3, 1, 4, 1, 2, 1, 2, 2, 4, 3, 4, 2, 3, 0, 4, 4, 3, 3, 2, 1, 3, 3, 1, 1, 0, 1, 0, 2, 4, 1, 4, 4, 1, 0, 3, 3, 2, 0, 1, 2, 0, 3, 3, 1, 2, 2, 2, 3, 0, 2, 1, 2, 3, 3, 1, 2, 3, 2, 2, 0, 3, 2, 4, 4, 3, 3, 4, 0, 3, 0, 0, 4, 3, 1, 0, 0, 1, 0, 3, 0, 4, 3, 1, 2, 3, 2, 4, 4, 4, 3, 0, 4, 0, 2, 4, 4, 2, 3, 4, 1, 1, 3, 2, 3, 0, 3, 3, 3, 3, 3, 0, 3, 4, 2, 3, 4, 4, 4, 2, 0, 2, 0, 2, 3, 2, 0, 2, 2, 4, 2, 0, 0, 3, 3, 4, 2, 3, 4, 4, 0, 1, 1, 0, 4, 3, 1, 2, 4, 2, 3, 0, 3, 4, 4, 4, 4, 3, 2, 3, 1, 3, 1, 0, 2, 4, 1, 1, 2, 1, 1, 1, 4, 0, 4, 2, 0, 0, 0, 1, 3, 3, 4, 1, 0, 1, 1, 2, 1, 2, 2, 3, 1, 0, 1, 1, 0, 2, 3, 2, 3, 2, 3, 2, 4, 1, 0, 3, 3, 2, 2, 3, 3, 0, 4, 2, 3, 3, 1, 3, 3, 0, 1]
pubkeycol1128 = [2, 1, 2, 3, 2, 4, 1, 0, 2, 0, 4, 2, 1, 1, 4, 2, 2, 0, 1, 1, 1, 3, 3, 0, 1, 1, 4, 3, 1, 4, 0, 4, 4, 3, 1, 2, 0, 1, 2, 2, 1, 4, 3, 3, 1, 3, 1, 1, 0, 3, 3, 2, 0, 1, 2, 3, 4, 1, 2, 1, 0, 4, 3, 4, 2, 1, 0, 2, 0, 0, 4, 4, 2, 2, 2, 0, 3, 2, 3, 4, 1, 2, 1, 3, 1, 4, 2, 2, 3, 2, 0, 3, 4, 3, 4, 3, 4, 0, 3, 3, 2, 1, 1, 0, 4, 3, 4, 0, 3, 4, 0, 1, 1, 4, 4, 2, 1, 3, 2, 1, 3, 3, 1, 1, 4, 4, 0, 3, 4, 2, 0, 3, 1, 4, 2, 3, 4, 3, 1, 2, 3, 1, 1, 0, 2, 2, 0, 0, 3, 2, 4, 1, 1, 3, 1, 1, 4, 0, 4, 1, 1, 4, 2, 3, 0, 3, 2, 0, 2, 4, 1, 4, 0, 0, 0, 2, 1, 1, 3, 2, 0, 2, 4, 0, 3, 2, 4, 4, 0, 4, 4, 1, 1, 2, 1, 4, 2, 2, 3, 1, 3, 0, 4, 3, 4, 3, 1, 1, 3, 0, 2, 1, 4, 2, 3, 0, 1, 4, 1, 4, 4, 2, 1, 4, 2, 2, 0, 4, 1, 4, 3, 0, 3, 3, 2, 3, 1, 1, 2, 3, 3, 4, 4, 3, 3, 3, 2, 2, 3, 3, 4, 2, 2, 0, 3, 2, 4, 1, 1, 0, 3, 3, 3, 1, 2, 2, 4, 0, 0, 0, 2, 2, 0, 1, 4, 0, 1, 2, 2, 2, 0, 4, 1, 2, 2, 2, 1, 2, 3, 4, 0, 2, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 3, 3, 2, 2, 3, 0, 2, 2, 0, 1, 1, 0, 4, 2, 1, 1, 3, 1, 3, 4, 0, 2, 4, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 3, 4, 3, 3, 1, 1, 0, 3, 2, 1, 1, 3, 3, 3, 3, 2, 4, 3, 2, 0, 3, 3, 2, 3, 3, 0, 0, 2, 1, 2, 3, 2, 4, 2, 0, 1, 4, 3, 0, 3, 2, 4, 3, 2, 3, 1, 1, 1, 2, 3, 3, 4, 0, 0, 2, 2, 1, 0, 1, 1, 4, 0, 1, 3, 2]
pubkeycol1129 = [4, 0, 3, 3, 0, 0, 0, 2, 0, 2, 2, 4, 3, 3, 2, 1, 0, 0, 2, 2, 4, 3, 2, 4, 2, 2, 1, 3, 4, 0, 0, 3, 4, 1, 3, 3, 3, 1, 4, 0, 4, 3, 1, 3, 1, 3, 3, 1, 3, 1, 2, 0, 1, 0, 4, 0, 0, 0, 4, 0, 4, 2, 3, 3, 3, 1, 1, 0, 2, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 1, 4, 2, 3, 1, 4, 0, 1, 2, 0, 3, 0, 2, 3, 0, 0, 3, 2, 0, 4, 1, 3, 4, 0, 1, 4, 2, 0, 4, 4, 1, 3, 0, 1, 2, 4, 2, 2, 2, 3, 1, 3, 0, 2, 3, 2, 3, 0, 1, 1, 4, 1, 0, 0, 4, 2, 0, 2, 3, 2, 0, 1, 3, 1, 0, 3, 4, 3, 1, 0, 2, 1, 4, 0, 2, 0, 4, 2, 3, 2, 0, 1, 2, 2, 3, 3, 2, 4, 0, 2, 1, 2, 4, 1, 1, 0, 4, 3, 3, 4, 1, 4, 0, 3, 1, 0, 1, 2, 2, 1, 4, 2, 0, 4, 0, 0, 4, 4, 4, 1, 2, 4, 2, 0, 4, 0, 1, 0, 0, 2, 3, 3, 4, 1, 3, 1, 4, 0, 0, 3, 4, 3, 1, 3, 3, 4, 1, 0, 4, 2, 4, 1, 0, 0, 1, 0, 4, 2, 1, 2, 2, 0, 0, 4, 0, 1, 0, 4, 3, 0, 0, 1, 4, 3, 2, 2, 3, 0, 1, 1, 3, 3, 0, 1, 3, 2, 4, 4, 1, 2, 2, 1, 2, 1, 0, 4, 0, 0, 0, 3, 3, 3, 1, 4, 3, 1, 1, 3, 2, 4, 4, 3, 2, 1, 3, 2, 4, 2, 2, 4, 3, 1, 2, 4, 1, 3, 4, 3, 0, 1, 1, 2, 0, 4, 0, 2, 4, 3, 4, 2, 4, 1, 0, 2, 2, 3, 4, 0, 3, 3, 1, 0, 2, 0, 1, 4, 3, 0, 1, 4, 2, 3, 3, 0, 4, 2, 3, 1, 0, 3, 4, 3, 1, 1, 3, 0, 3, 0, 1, 2, 2, 3, 2, 2, 3, 0, 2, 2, 3, 2, 4, 2, 1, 2, 3, 4, 3, 0, 0, 4, 4, 0, 3, 3, 4, 2, 0, 1, 2, 3, 0, 3, 2, 2, 1, 3, 4, 2, 0, 1, 1]
pubkeycol1130 = [0, 3, 3, 2, 3, 3, 3, 2, 1, 2, 1, 4, 0, 0, 4, 3, 0, 2, 1, 3, 2, 2, 3, 2, 3, 0, 0, 4, 3, 3, 4, 0, 1, 2, 3, 4, 2, 0, 2, 3, 0, 2, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 2, 0, 1, 4, 3, 2, 0, 1, 0, 2, 0, 0, 3, 2, 3, 3, 1, 0, 4, 1, 0, 4, 1, 3, 0, 0, 1, 1, 0, 2, 4, 1, 1, 2, 3, 0, 2, 3, 1, 0, 0, 4, 3, 2, 4, 2, 0, 1, 0, 3, 3, 1, 0, 2, 3, 1, 3, 3, 0, 4, 4, 4, 3, 1, 1, 3, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 4, 4, 0, 2, 3, 2, 0, 2, 4, 0, 2, 2, 2, 1, 4, 2, 2, 0, 1, 4, 2, 2, 3, 3, 2, 0, 3, 2, 2, 3, 3, 4, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 4, 1, 1, 0, 4, 0, 0, 2, 4, 4, 1, 0, 1, 1, 3, 4, 2, 1, 3, 2, 3, 2, 1, 3, 1, 4, 4, 2, 0, 4, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 0, 2, 2, 3, 4, 3, 0, 0, 0, 1, 3, 1, 4, 4, 3, 3, 2, 3, 2, 1, 1, 4, 2, 2, 4, 0, 0, 2, 1, 2, 2, 2, 3, 3, 3, 0, 3, 4, 4, 1, 3, 3, 4, 4, 4, 2, 4, 1, 2, 4, 2, 1, 2, 3, 3, 0, 0, 0, 3, 3, 3, 2, 4, 4, 1, 3, 1, 3, 3, 2, 0, 2, 4, 1, 0, 2, 1, 0, 1, 1, 4, 1, 1, 0, 4, 4, 3, 2, 2, 0, 2, 0, 3, 4, 2, 3, 2, 1, 2, 4, 0, 1, 0, 3, 2, 0, 4, 3, 3, 3, 1, 4, 2, 1, 1, 4, 2, 2, 3, 0, 3, 0, 4, 1, 2, 0, 4, 2, 4, 2, 1, 4, 1, 2, 4, 3, 4, 2, 1, 0, 1, 3, 4, 1, 1, 2, 4, 1, 4, 4, 1, 1, 4, 3, 1, 0, 0, 1, 0, 1, 1, 3, 3, 2, 1, 3, 3, 1, 0, 1, 4, 3, 3, 3, 0, 1, 4, 3, 3, 4, 4, 2, 1, 1, 2]
pubkeycol1131 = [1, 2, 2, 2, 2, 3, 1, 0, 3, 2, 3, 4, 0, 1, 4, 4, 2, 2, 4, 2, 3, 0, 4, 0, 4, 4, 4, 1, 2, 3, 0, 3, 1, 4, 3, 0, 3, 4, 3, 3, 3, 1, 4, 2, 2, 3, 0, 4, 2, 2, 1, 1, 1, 1, 1, 4, 0, 0, 4, 3, 4, 0, 0, 1, 1, 1, 2, 0, 2, 3, 0, 1, 1, 3, 0, 2, 1, 3, 3, 3, 0, 3, 0, 3, 4, 3, 1, 0, 1, 3, 2, 4, 2, 1, 2, 3, 4, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 4, 0, 2, 0, 0, 1, 3, 4, 0, 1, 3, 3, 2, 2, 4, 1, 3, 2, 4, 0, 3, 2, 0, 3, 2, 2, 1, 2, 3, 4, 4, 4, 3, 3, 3, 1, 1, 4, 2, 0, 3, 4, 4, 2, 0, 2, 0, 2, 3, 0, 2, 4, 4, 4, 4, 2, 0, 0, 1, 0, 2, 3, 2, 1, 4, 2, 0, 2, 3, 2, 1, 3, 0, 3, 4, 2, 3, 2, 1, 4, 0, 3, 1, 0, 0, 1, 3, 0, 3, 4, 2, 3, 1, 0, 4, 4, 3, 2, 4, 2, 0, 0, 3, 0, 4, 3, 2, 3, 2, 0, 4, 3, 2, 2, 1, 4, 3, 4, 3, 3, 4, 4, 2, 4, 2, 2, 0, 0, 1, 3, 0, 3, 1, 4, 1, 3, 2, 2, 4, 1, 1, 3, 4, 2, 3, 3, 3, 4, 2, 2, 3, 1, 1, 1, 0, 4, 4, 4, 0, 0, 4, 0, 3, 4, 4, 2, 4, 0, 4, 1, 4, 1, 2, 2, 4, 4, 4, 1, 0, 1, 4, 4, 1, 2, 2, 1, 0, 4, 2, 4, 2, 1, 4, 3, 3, 1, 3, 0, 3, 2, 2, 1, 3, 0, 1, 2, 1, 4, 0, 1, 0, 1, 4, 0, 0, 1, 4, 4, 3, 1, 3, 1, 0, 3, 4, 3, 0, 3, 2, 2, 2, 1, 1, 2, 4, 4, 4, 4, 3, 2, 4, 0, 0, 3, 4, 2, 1, 2, 2, 2, 4, 0, 2, 3, 4, 0, 1, 3, 3, 2, 4, 3, 2, 1, 0, 4, 3, 1, 1, 0, 4, 0, 0, 3, 1, 4, 2, 4, 2, 1, 3, 1, 0, 1]
pubkeycol1132 = [0, 4, 3, 0, 2, 0, 4, 3, 0, 1, 2, 2, 2, 4, 3, 4, 2, 4, 1, 0, 1, 1, 1, 1, 0, 1, 2, 4, 1, 3, 3, 3, 3, 1, 3, 3, 3, 2, 2, 0, 4, 4, 1, 2, 4, 0, 2, 3, 4, 4, 0, 4, 0, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 3, 2, 3, 4, 1, 0, 2, 1, 1, 0, 4, 4, 4, 2, 0, 0, 0, 3, 4, 3, 4, 3, 1, 3, 0, 4, 1, 1, 3, 0, 2, 2, 4, 0, 1, 4, 1, 3, 1, 3, 1, 2, 4, 1, 3, 4, 1, 1, 2, 1, 4, 4, 4, 3, 0, 2, 2, 3, 1, 2, 2, 2, 4, 0, 0, 2, 1, 0, 2, 2, 4, 2, 3, 1, 1, 1, 3, 4, 2, 3, 2, 3, 3, 4, 2, 2, 0, 4, 1, 2, 4, 2, 2, 3, 4, 4, 1, 1, 2, 4, 0, 0, 1, 2, 0, 0, 3, 2, 2, 3, 1, 0, 3, 2, 0, 1, 2, 4, 4, 3, 2, 2, 1, 3, 2, 2, 3, 4, 4, 1, 2, 1, 1, 0, 3, 2, 4, 1, 4, 2, 2, 2, 0, 0, 0, 2, 3, 3, 2, 1, 2, 3, 0, 4, 4, 4, 2, 0, 0, 2, 2, 0, 1, 4, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 0, 3, 0, 2, 2, 4, 2, 2, 0, 0, 0, 4, 1, 3, 3, 4, 1, 1, 3, 3, 3, 1, 0, 3, 2, 3, 1, 2, 4, 4, 4, 1, 1, 1, 3, 3, 2, 1, 4, 4, 1, 1, 4, 3, 4, 1, 2, 3, 1, 3, 0, 1, 4, 0, 1, 3, 1, 2, 0, 4, 1, 2, 1, 3, 3, 2, 2, 2, 0, 2, 1, 0, 0, 1, 3, 2, 0, 2, 2, 3, 2, 0, 3, 2, 0, 0, 2, 0, 1, 1, 0, 3, 1, 3, 3, 3, 1, 0, 3, 2, 1, 4, 0, 0, 4, 2, 0, 1, 1, 0, 2, 1, 4, 3, 1, 1, 1, 3, 3, 3, 2, 0, 1, 2, 4, 0, 1, 1, 3, 3, 2, 4, 4, 1, 3, 1, 2, 3, 3, 2, 3, 2, 2, 1, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 2, 3, 3, 1, 1]
pubkeycol1133 = [4, 0, 4, 3, 0, 4, 2, 0, 2, 2, 4, 0, 4, 1, 3, 0, 2, 4, 4, 1, 1, 3, 1, 0, 2, 2, 2, 1, 2, 3, 1, 2, 0, 2, 4, 2, 3, 2, 0, 4, 0, 1, 3, 3, 1, 4, 3, 3, 2, 1, 1, 1, 0, 0, 4, 4, 1, 2, 3, 4, 4, 0, 2, 3, 1, 3, 4, 2, 2, 4, 3, 4, 0, 2, 3, 2, 3, 1, 0, 1, 1, 0, 3, 3, 0, 0, 4, 2, 4, 0, 4, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 3, 4, 1, 0, 0, 2, 1, 3, 3, 2, 0, 4, 0, 1, 1, 3, 3, 2, 4, 0, 0, 4, 0, 3, 2, 2, 1, 1, 0, 0, 4, 4, 1, 2, 4, 3, 1, 4, 4, 3, 3, 0, 3, 2, 4, 1, 1, 4, 3, 2, 1, 3, 2, 4, 3, 4, 1, 0, 4, 4, 0, 3, 1, 0, 4, 0, 1, 3, 2, 0, 3, 4, 0, 1, 3, 4, 0, 4, 0, 3, 4, 3, 1, 4, 3, 0, 3, 4, 1, 3, 4, 2, 0, 2, 0, 4, 3, 3, 1, 0, 3, 4, 2, 1, 3, 3, 3, 2, 4, 2, 3, 1, 3, 0, 3, 1, 1, 0, 3, 1, 1, 3, 2, 0, 2, 1, 4, 0, 3, 4, 0, 4, 3, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 4, 0, 1, 1, 2, 3, 3, 4, 3, 4, 3, 1, 0, 0, 2, 0, 4, 0, 2, 4, 4, 4, 1, 1, 0, 4, 4, 2, 4, 3, 0, 4, 0, 0, 0, 4, 4, 1, 1, 3, 2, 3, 2, 0, 4, 4, 1, 4, 0, 3, 4, 4, 1, 1, 1, 2, 4, 1, 3, 1, 3, 2, 0, 4, 1, 3, 3, 1, 1, 4, 4, 2, 1, 0, 2, 0, 1, 3, 3, 3, 2, 0, 4, 1, 2, 3, 3, 1, 1, 4, 4, 0, 4, 2, 0, 1, 4, 0, 0, 0, 2, 3, 3, 3, 4, 1, 1, 0, 2, 4, 3, 2, 1, 1, 0, 3, 0, 2, 1, 3, 3, 0, 3, 0, 4, 4, 3, 2, 1, 3, 0, 2, 1, 0, 2, 2, 2, 3, 0, 3, 1, 1, 3, 0, 4, 0, 3, 3, 4, 0]
pubkeycol1134 = [0, 1, 3, 4, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 4, 3, 1, 4, 0, 4, 4, 2, 2, 0, 1, 4, 1, 2, 0, 3, 0, 1, 2, 1, 3, 4, 2, 2, 3, 3, 3, 3, 4, 4, 2, 4, 0, 4, 2, 4, 4, 4, 3, 3, 0, 4, 3, 4, 0, 0, 3, 4, 2, 4, 4, 1, 1, 1, 1, 3, 2, 1, 4, 3, 2, 0, 4, 4, 3, 0, 0, 3, 0, 4, 3, 3, 3, 0, 0, 3, 0, 2, 3, 3, 4, 1, 3, 1, 4, 4, 1, 4, 0, 0, 0, 0, 4, 4, 2, 4, 4, 2, 1, 0, 3, 3, 1, 2, 3, 0, 0, 2, 0, 4, 4, 0, 1, 2, 1, 3, 4, 4, 1, 3, 0, 3, 0, 4, 2, 2, 0, 0, 4, 3, 4, 4, 4, 2, 4, 2, 2, 0, 3, 0, 1, 1, 2, 4, 3, 4, 4, 3, 0, 0, 2, 2, 3, 3, 0, 1, 3, 2, 0, 1, 0, 3, 2, 1, 3, 2, 4, 2, 4, 3, 0, 3, 3, 4, 2, 3, 0, 1, 1, 1, 4, 4, 1, 4, 2, 4, 0, 0, 3, 0, 0, 4, 1, 2, 4, 1, 0, 1, 3, 0, 0, 4, 4, 3, 2, 4, 3, 4, 0, 1, 3, 3, 4, 0, 1, 4, 1, 1, 3, 2, 2, 2, 0, 4, 4, 1, 1, 3, 1, 4, 3, 4, 3, 1, 1, 0, 3, 0, 3, 1, 2, 1, 2, 0, 2, 0, 4, 0, 4, 3, 3, 2, 4, 1, 2, 1, 0, 3, 3, 3, 1, 1, 3, 2, 4, 4, 4, 4, 4, 0, 0, 1, 4, 1, 2, 3, 0, 3, 3, 0, 0, 1, 1, 2, 4, 4, 2, 4, 0, 3, 0, 3, 3, 1, 3, 2, 4, 1, 0, 2, 3, 2, 2, 1, 1, 0, 3, 1, 2, 2, 3, 3, 3, 4, 4, 1, 3, 0, 2, 0, 2, 2, 0, 4, 4, 4, 1, 2, 0, 3, 0, 1, 1, 2, 2, 2, 2, 3, 1, 2, 0, 0, 1, 0, 3, 4, 1, 1, 4, 1, 0, 0, 4, 4, 0, 3, 0, 3, 2, 0, 4, 1, 0, 3, 0, 0, 4, 3, 1, 4, 1, 0, 3, 4, 2, 4, 3, 1, 0, 3, 4, 0]
pubkeycol1135 = [1, 2, 2, 2, 3, 3, 4, 4, 1, 0, 0, 4, 0, 0, 1, 3, 2, 4, 1, 3, 0, 4, 2, 1, 0, 1, 0, 2, 3, 2, 4, 3, 0, 4, 1, 1, 1, 3, 4, 0, 1, 4, 1, 2, 0, 3, 0, 4, 3, 1, 4, 3, 0, 4, 3, 1, 4, 1, 4, 3, 3, 1, 4, 4, 0, 0, 0, 4, 1, 4, 4, 0, 1, 2, 4, 1, 3, 2, 1, 1, 2, 0, 4, 4, 3, 2, 4, 2, 0, 1, 3, 1, 0, 1, 0, 3, 1, 0, 2, 2, 2, 0, 1, 1, 4, 3, 4, 3, 2, 0, 1, 4, 2, 3, 3, 0, 2, 2, 4, 3, 4, 1, 2, 1, 4, 2, 1, 3, 2, 4, 2, 1, 3, 2, 1, 0, 4, 0, 2, 2, 4, 4, 0, 4, 1, 1, 0, 1, 4, 0, 4, 4, 0, 0, 1, 3, 4, 0, 0, 1, 3, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 3, 0, 0, 0, 0, 2, 4, 2, 1, 2, 0, 1, 2, 4, 4, 3, 1, 4, 0, 1, 3, 3, 3, 4, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 3, 2, 0, 2, 3, 1, 2, 4, 2, 1, 1, 2, 3, 2, 1, 2, 1, 3, 2, 3, 3, 3, 4, 1, 4, 3, 3, 4, 4, 2, 0, 0, 4, 3, 4, 1, 3, 2, 3, 0, 1, 0, 2, 3, 1, 0, 3, 0, 2, 3, 2, 1, 2, 0, 1, 4, 2, 0, 1, 2, 0, 3, 2, 1, 1, 2, 4, 4, 2, 0, 3, 0, 0, 2, 0, 1, 4, 2, 1, 4, 1, 3, 4, 3, 4, 4, 0, 1, 1, 0, 3, 1, 4, 4, 4, 0, 2, 0, 0, 3, 1, 4, 0, 4, 0, 1, 2, 4, 1, 0, 1, 4, 1, 3, 0, 4, 0, 3, 2, 4, 0, 3, 3, 0, 3, 1, 1, 4, 2, 0, 3, 3, 4, 1, 4, 0, 0, 3, 0, 3, 4, 2, 2, 1, 3, 0, 1, 4, 0, 1, 4, 0, 1, 4, 1, 3, 4, 2, 2, 0, 0, 0, 1, 4, 2, 4, 1, 2, 1, 2, 1, 4, 0, 4, 3, 3, 0, 2, 1, 2, 4, 0, 3, 4, 4, 3, 4, 2, 3, 1, 4]
pubkeycol1136 = [4, 0, 2, 0, 0, 0, 0, 1, 3, 4, 1, 3, 3, 1, 1, 0, 4, 2, 1, 3, 3, 4, 0, 0, 4, 3, 3, 3, 0, 4, 4, 1, 0, 0, 2, 2, 3, 1, 0, 1, 4, 1, 4, 3, 0, 3, 2, 4, 4, 4, 4, 0, 2, 4, 4, 3, 1, 0, 2, 0, 2, 3, 0, 1, 1, 0, 0, 3, 2, 1, 4, 2, 3, 4, 2, 0, 0, 1, 4, 0, 4, 1, 4, 1, 0, 4, 0, 3, 4, 3, 0, 2, 0, 1, 1, 3, 3, 1, 1, 3, 2, 1, 0, 1, 0, 1, 4, 4, 2, 1, 3, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 3, 0, 4, 1, 4, 1, 1, 0, 0, 0, 2, 2, 4, 4, 0, 3, 2, 1, 3, 3, 0, 4, 1, 1, 2, 1, 1, 2, 4, 1, 0, 0, 1, 3, 2, 4, 4, 3, 1, 2, 4, 1, 4, 2, 4, 2, 4, 1, 4, 2, 0, 2, 1, 4, 0, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 2, 4, 3, 3, 4, 2, 4, 1, 0, 1, 4, 3, 3, 2, 4, 1, 2, 0, 2, 4, 0, 3, 2, 3, 0, 4, 4, 1, 4, 3, 2, 0, 2, 1, 3, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 0, 1, 4, 0, 3, 4, 3, 4, 2, 3, 4, 1, 0, 3, 3, 0, 4, 3, 4, 0, 0, 3, 1, 3, 3, 3, 3, 4, 0, 4, 0, 4, 0, 0, 3, 2, 0, 4, 3, 3, 4, 3, 4, 0, 3, 4, 3, 1, 2, 2, 1, 2, 1, 3, 4, 3, 4, 1, 4, 0, 3, 2, 4, 4, 2, 2, 0, 1, 0, 1, 3, 1, 1, 2, 1, 3, 2, 4, 4, 0, 2, 3, 2, 2, 1, 3, 0, 0, 0, 1, 4, 3, 3, 4, 0, 0, 3, 3, 4, 0, 4, 4, 2, 1, 4, 2, 2, 4, 1, 4, 1, 0, 4, 4, 2, 1, 4, 2, 1, 4, 3, 2, 4, 1, 1, 2, 1, 3, 2, 0, 4, 2, 1, 3, 1, 2, 3, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 0, 4, 0, 4, 0, 0, 2, 0, 3, 0, 1, 4, 1, 1, 4, 4]
pubkeycol1137 = [3, 2, 4, 3, 3, 2, 4, 1, 4, 1, 1, 1, 1, 4, 2, 3, 4, 1, 2, 3, 0, 2, 1, 1, 4, 0, 4, 2, 3, 4, 1, 0, 4, 0, 3, 3, 0, 3, 1, 3, 0, 0, 4, 1, 3, 2, 3, 2, 0, 2, 0, 3, 0, 2, 3, 0, 4, 2, 0, 2, 0, 0, 2, 4, 3, 1, 2, 2, 1, 2, 1, 1, 4, 3, 3, 4, 1, 0, 0, 4, 4, 2, 0, 2, 3, 0, 3, 1, 2, 1, 1, 4, 1, 4, 3, 0, 0, 4, 1, 4, 3, 0, 3, 4, 3, 2, 4, 3, 3, 2, 4, 3, 1, 4, 0, 2, 3, 4, 0, 4, 4, 0, 3, 3, 2, 3, 4, 3, 0, 1, 4, 2, 2, 4, 1, 0, 3, 0, 2, 0, 0, 4, 2, 0, 3, 0, 0, 0, 0, 4, 3, 4, 2, 1, 0, 0, 3, 1, 3, 1, 4, 4, 0, 0, 4, 2, 3, 2, 2, 1, 2, 1, 1, 0, 3, 2, 0, 4, 3, 3, 1, 4, 2, 3, 0, 1, 1, 0, 0, 1, 1, 2, 4, 1, 0, 2, 3, 0, 0, 1, 1, 3, 4, 2, 4, 0, 1, 2, 4, 2, 1, 4, 4, 1, 4, 1, 0, 2, 1, 2, 1, 2, 1, 1, 3, 3, 3, 0, 1, 4, 1, 3, 2, 0, 1, 0, 2, 0, 1, 2, 0, 3, 4, 2, 0, 3, 3, 1, 1, 3, 4, 1, 3, 1, 0, 3, 2, 4, 4, 2, 3, 1, 2, 4, 2, 4, 3, 0, 3, 3, 1, 0, 0, 3, 4, 3, 3, 3, 1, 4, 4, 2, 0, 2, 3, 1, 4, 0, 3, 1, 1, 0, 3, 1, 2, 1, 1, 2, 3, 0, 4, 4, 1, 1, 3, 2, 1, 4, 2, 0, 0, 4, 1, 4, 1, 4, 3, 2, 2, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 3, 3, 4, 0, 3, 2, 4, 0, 2, 3, 2, 0, 3, 2, 3, 3, 2, 3, 2, 3, 0, 2, 2, 3, 3, 3, 0, 1, 0, 4, 1, 2, 4, 3, 2, 3, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 3, 3, 3, 0, 2, 2, 3, 3, 0, 1, 2, 3, 2, 0, 2, 0, 1, 3, 3, 1, 2, 3, 1, 3, 4]
pubkeycol1138 = [2, 1, 0, 1, 2, 0, 2, 0, 4, 1, 0, 3, 0, 1, 1, 3, 1, 2, 2, 0, 2, 3, 1, 3, 3, 0, 3, 3, 3, 4, 3, 3, 3, 4, 1, 3, 3, 4, 0, 4, 3, 0, 4, 3, 1, 4, 3, 4, 1, 0, 4, 2, 2, 1, 3, 3, 2, 2, 3, 3, 1, 2, 2, 0, 1, 3, 3, 2, 1, 1, 2, 4, 0, 2, 1, 1, 3, 3, 1, 3, 4, 0, 0, 3, 0, 4, 3, 2, 4, 0, 4, 4, 2, 4, 1, 2, 4, 0, 4, 0, 4, 2, 4, 2, 0, 3, 2, 4, 1, 0, 2, 1, 3, 0, 2, 0, 0, 0, 4, 1, 0, 4, 0, 4, 3, 4, 3, 1, 4, 1, 4, 3, 1, 0, 0, 3, 1, 2, 3, 0, 2, 2, 2, 2, 1, 0, 1, 3, 2, 4, 2, 1, 3, 0, 4, 0, 3, 2, 4, 4, 1, 4, 3, 2, 1, 1, 4, 3, 0, 3, 1, 2, 0, 1, 0, 3, 0, 4, 2, 1, 1, 0, 0, 1, 4, 2, 3, 2, 4, 3, 4, 1, 3, 4, 4, 1, 2, 0, 4, 2, 0, 4, 1, 1, 4, 1, 4, 0, 2, 0, 1, 0, 3, 1, 3, 2, 3, 1, 4, 4, 1, 2, 0, 3, 1, 0, 3, 0, 1, 0, 0, 3, 4, 0, 2, 3, 4, 3, 4, 0, 4, 1, 1, 2, 1, 0, 2, 1, 0, 3, 2, 0, 0, 1, 4, 2, 3, 0, 2, 1, 2, 1, 3, 4, 3, 1, 1, 1, 1, 2, 0, 3, 1, 0, 4, 0, 4, 3, 1, 4, 4, 1, 4, 3, 3, 0, 4, 2, 1, 2, 0, 0, 4, 3, 0, 1, 0, 3, 4, 2, 4, 1, 4, 1, 0, 2, 1, 3, 0, 1, 1, 4, 3, 0, 3, 1, 0, 1, 2, 1, 4, 4, 2, 2, 4, 2, 2, 3, 2, 2, 4, 0, 4, 3, 3, 0, 4, 0, 3, 3, 0, 0, 0, 0, 0, 3, 4, 2, 0, 2, 3, 0, 3, 1, 0, 2, 0, 4, 2, 4, 0, 0, 3, 1, 4, 2, 4, 3, 1, 1, 0, 0, 0, 1, 3, 3, 3, 3, 3, 4, 3, 2, 1, 0, 3, 1, 1, 3, 1, 4, 2, 3, 1, 1, 1, 0, 1, 3, 4, 2]
pubkeycol1139 = [3, 3, 0, 2, 2, 3, 2, 2, 2, 3, 2, 2, 4, 0, 4, 4, 3, 0, 2, 3, 0, 4, 4, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 0, 3, 3, 4, 3, 2, 3, 0, 3, 0, 3, 3, 4, 0, 1, 1, 1, 4, 4, 4, 2, 1, 4, 2, 3, 3, 1, 1, 4, 0, 4, 2, 0, 2, 0, 0, 0, 4, 4, 0, 1, 4, 2, 0, 4, 0, 3, 1, 4, 3, 3, 3, 0, 1, 3, 4, 1, 3, 3, 4, 2, 3, 3, 1, 0, 4, 2, 4, 4, 0, 4, 3, 1, 1, 2, 2, 3, 2, 2, 3, 2, 3, 0, 1, 0, 0, 4, 2, 3, 4, 3, 2, 1, 2, 4, 2, 4, 0, 3, 4, 0, 0, 2, 4, 4, 2, 2, 3, 1, 3, 3, 4, 0, 3, 3, 2, 1, 1, 3, 1, 4, 1, 1, 3, 3, 0, 2, 2, 3, 4, 2, 1, 4, 0, 3, 4, 0, 4, 3, 0, 2, 2, 4, 3, 4, 2, 1, 4, 0, 1, 2, 3, 1, 0, 4, 1, 1, 2, 0, 2, 4, 0, 0, 3, 1, 4, 2, 4, 3, 4, 1, 0, 4, 1, 4, 2, 2, 1, 4, 2, 2, 4, 1, 4, 2, 3, 2, 4, 1, 4, 2, 3, 0, 2, 0, 3, 3, 1, 0, 2, 0, 3, 4, 1, 1, 1, 4, 3, 0, 1, 1, 2, 2, 0, 3, 2, 0, 1, 3, 2, 0, 0, 1, 2, 3, 3, 4, 3, 2, 1, 2, 2, 4, 3, 2, 1, 2, 4, 4, 1, 4, 1, 3, 3, 0, 4, 1, 4, 2, 3, 4, 1, 2, 4, 4, 4, 1, 0, 0, 3, 2, 3, 3, 0, 4, 3, 3, 4, 0, 3, 3, 3, 1, 1, 3, 4, 4, 2, 3, 0, 4, 0, 1, 0, 0, 0, 1, 1, 3, 1, 3, 2, 1, 4, 2, 4, 0, 3, 4, 2, 4, 2, 1, 2, 3, 3, 4, 4, 2, 1, 0, 2, 3, 0, 2, 0, 0, 3, 1, 1, 2, 2, 4, 0, 2, 4, 3, 3, 0, 3, 2, 3, 4, 4, 4, 0, 1, 0, 3, 2, 2, 4, 2, 4, 1, 0, 1, 0, 1, 1, 0, 0, 3, 4, 3, 0, 4, 1, 2, 1, 1, 0, 1, 4, 1, 4, 2]
pubkeycol1140 = [2, 3, 4, 0, 4, 3, 1, 3, 0, 0, 4, 0, 3, 1, 3, 0, 3, 1, 1, 2, 2, 1, 3, 0, 2, 3, 2, 0, 1, 3, 4, 2, 0, 1, 3, 0, 2, 2, 3, 4, 4, 2, 0, 4, 1, 2, 2, 2, 1, 4, 4, 1, 1, 3, 1, 3, 2, 3, 2, 4, 2, 3, 2, 0, 1, 3, 1, 4, 1, 1, 4, 3, 0, 4, 4, 3, 4, 3, 3, 1, 0, 0, 3, 0, 4, 3, 2, 1, 0, 0, 1, 3, 3, 4, 2, 4, 0, 3, 3, 3, 2, 2, 1, 0, 1, 4, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 1, 0, 4, 2, 1, 1, 4, 1, 4, 1, 4, 2, 1, 4, 0, 3, 0, 1, 0, 1, 4, 1, 3, 1, 0, 4, 2, 1, 3, 1, 2, 3, 3, 2, 3, 2, 4, 1, 0, 4, 0, 1, 2, 4, 2, 1, 0, 0, 2, 1, 0, 4, 3, 4, 0, 2, 2, 0, 3, 1, 4, 0, 4, 2, 2, 4, 0, 1, 1, 4, 2, 0, 1, 0, 2, 3, 2, 3, 2, 0, 1, 0, 0, 3, 0, 3, 0, 4, 3, 4, 4, 4, 2, 2, 3, 1, 3, 3, 0, 1, 4, 0, 3, 3, 4, 2, 4, 0, 3, 1, 1, 4, 2, 0, 0, 2, 4, 4, 0, 1, 4, 3, 4, 4, 4, 0, 4, 3, 2, 2, 3, 1, 4, 2, 0, 2, 3, 1, 3, 4, 0, 0, 1, 3, 2, 0, 4, 2, 0, 4, 4, 1, 4, 2, 2, 2, 0, 1, 0, 1, 1, 4, 2, 0, 0, 2, 4, 4, 4, 1, 3, 3, 0, 2, 2, 4, 2, 4, 2, 1, 2, 4, 2, 1, 2, 1, 4, 2, 0, 3, 0, 3, 2, 0, 2, 4, 0, 3, 2, 4, 1, 3, 1, 0, 3, 0, 4, 4, 3, 0, 3, 2, 3, 1, 2, 3, 3, 2, 4, 0, 3, 4, 0, 1, 3, 0, 0, 3, 2, 4, 2, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 2, 3, 3, 1, 0, 0, 2, 0, 2, 3, 1, 3, 0, 3, 4, 0, 2, 4, 2, 3, 0, 1, 4, 4, 4, 2, 4, 3, 1, 0, 4, 3, 1, 2, 0, 1, 1, 0, 0, 2, 3, 0, 0]
pubkeycol1141 = [4, 1, 1, 3, 2, 2, 0, 0, 1, 1, 4, 2, 0, 4, 2, 4, 1, 4, 4, 3, 3, 4, 2, 3, 0, 2, 3, 0, 1, 1, 3, 1, 4, 2, 2, 3, 1, 3, 0, 1, 0, 3, 0, 4, 2, 4, 1, 2, 2, 0, 3, 4, 1, 0, 2, 4, 4, 3, 0, 4, 4, 4, 0, 3, 1, 3, 2, 0, 1, 2, 3, 0, 4, 2, 0, 0, 2, 3, 4, 0, 3, 0, 3, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 3, 4, 3, 0, 2, 2, 2, 0, 0, 2, 4, 3, 3, 0, 1, 2, 1, 3, 1, 1, 0, 2, 0, 1, 4, 3, 3, 3, 1, 1, 3, 4, 4, 0, 4, 0, 3, 4, 1, 2, 4, 4, 2, 0, 3, 3, 2, 1, 0, 2, 2, 1, 2, 3, 2, 0, 1, 4, 3, 3, 4, 3, 1, 3, 2, 1, 3, 3, 2, 4, 0, 4, 4, 1, 1, 3, 1, 1, 4, 1, 4, 2, 4, 4, 2, 1, 4, 3, 2, 4, 1, 2, 3, 0, 0, 0, 4, 3, 0, 0, 1, 3, 3, 2, 0, 1, 4, 3, 4, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 3, 4, 1, 2, 3, 3, 0, 4, 0, 2, 4, 1, 0, 1, 1, 0, 0, 0, 3, 1, 3, 0, 0, 3, 3, 4, 4, 3, 1, 0, 3, 2, 1, 3, 4, 0, 1, 0, 1, 2, 2, 3, 0, 4, 2, 3, 1, 3, 3, 0, 2, 1, 0, 4, 2, 4, 4, 2, 3, 4, 2, 0, 1, 4, 3, 4, 2, 2, 3, 2, 2, 3, 4, 2, 2, 1, 2, 0, 4, 4, 1, 2, 3, 0, 0, 3, 1, 3, 2, 1, 1, 2, 1, 2, 1, 3, 1, 1, 4, 4, 3, 1, 4, 4, 0, 3, 1, 4, 4, 2, 0, 2, 0, 3, 3, 4, 1, 1, 2, 0, 3, 1, 4, 4, 3, 1, 1, 0, 4, 4, 2, 4, 1, 2, 4, 0, 4, 0, 2, 1, 4, 2, 2, 4, 3, 1, 4, 2, 3, 1, 2, 3, 4, 2, 1, 3, 1, 2, 1, 2, 0, 4, 3, 4, 1, 1, 1, 3, 3, 1, 2, 4, 2, 4, 1, 0, 1, 4, 0, 2, 1, 3]
pubkeycol1142 = [2, 1, 2, 2, 0, 3, 1, 0, 0, 1, 2, 2, 4, 4, 1, 0, 3, 0, 0, 3, 1, 1, 0, 3, 0, 1, 0, 2, 3, 2, 0, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 0, 3, 4, 0, 1, 0, 1, 3, 4, 1, 0, 3, 0, 4, 3, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 0, 3, 0, 1, 2, 0, 1, 4, 1, 0, 4, 1, 3, 1, 2, 1, 3, 0, 3, 2, 2, 0, 4, 4, 4, 2, 4, 2, 4, 4, 1, 0, 3, 4, 1, 2, 3, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 3, 3, 4, 0, 1, 3, 1, 0, 3, 3, 1, 0, 1, 1, 3, 2, 2, 0, 0, 4, 4, 2, 4, 1, 0, 0, 0, 1, 1, 0, 4, 1, 4, 2, 4, 3, 0, 0, 1, 3, 3, 2, 4, 0, 4, 4, 2, 0, 4, 4, 0, 4, 2, 2, 4, 0, 1, 0, 3, 1, 1, 4, 1, 0, 3, 1, 3, 4, 3, 0, 3, 2, 1, 0, 1, 0, 4, 0, 1, 1, 4, 3, 4, 2, 1, 4, 0, 2, 1, 4, 0, 0, 4, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 4, 3, 2, 2, 3, 0, 4, 1, 1, 4, 2, 2, 3, 0, 0, 0, 1, 4, 3, 3, 3, 3, 0, 4, 2, 3, 0, 0, 0, 4, 2, 1, 2, 1, 3, 0, 3, 2, 0, 0, 4, 0, 4, 1, 0, 3, 3, 2, 3, 0, 1, 2, 3, 1, 1, 1, 3, 2, 2, 3, 2, 4, 3, 4, 1, 4, 1, 1, 4, 3, 1, 0, 0, 0, 3, 0, 0, 1, 1, 0, 3, 4, 0, 1, 2, 4, 3, 3, 3, 4, 3, 2, 2, 0, 2, 1, 1, 4, 1, 4, 0, 3, 1, 4, 1, 0, 0, 2, 2, 2, 4, 0, 2, 2, 3, 4, 3, 4, 4, 0, 4, 1, 3, 4, 3, 1, 0, 0, 3, 3, 2, 4, 4, 4, 3, 4, 0, 1, 0, 3, 4, 3, 4, 0, 3, 3, 0, 3, 2, 4, 0, 4, 3, 4, 4, 4, 1, 0, 4, 3, 2, 4, 1, 2, 3, 4, 4, 2, 2, 0, 0, 3, 1, 1, 3, 1, 1, 1, 4, 2, 1, 4, 0]
pubkeycol1143 = [2, 4, 0, 4, 4, 2, 2, 4, 0, 0, 1, 1, 3, 2, 0, 3, 1, 4, 1, 3, 1, 4, 2, 1, 2, 1, 2, 0, 0, 3, 0, 2, 3, 4, 2, 1, 1, 1, 0, 4, 0, 2, 0, 1, 4, 2, 1, 2, 4, 2, 4, 2, 3, 2, 0, 1, 3, 2, 3, 3, 3, 2, 3, 0, 1, 0, 2, 1, 0, 0, 4, 3, 1, 3, 2, 3, 0, 1, 2, 0, 0, 0, 1, 1, 1, 3, 0, 0, 0, 2, 0, 4, 1, 1, 2, 4, 0, 4, 1, 4, 0, 0, 1, 0, 3, 2, 3, 4, 0, 3, 0, 1, 3, 3, 4, 4, 0, 3, 2, 1, 2, 1, 0, 2, 3, 3, 1, 2, 4, 0, 0, 2, 2, 4, 3, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 1, 1, 4, 1, 3, 0, 4, 1, 3, 2, 0, 0, 1, 1, 1, 3, 1, 2, 4, 2, 0, 1, 4, 1, 1, 0, 2, 1, 4, 3, 2, 1, 2, 3, 2, 0, 2, 1, 4, 1, 2, 4, 3, 2, 4, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3, 0, 0, 4, 3, 1, 2, 4, 1, 4, 4, 4, 1, 0, 2, 3, 3, 2, 1, 4, 4, 1, 3, 0, 3, 0, 1, 2, 1, 2, 1, 0, 2, 2, 3, 1, 3, 0, 3, 0, 2, 0, 3, 4, 1, 4, 1, 3, 3, 0, 2, 2, 4, 1, 4, 2, 0, 3, 1, 4, 3, 1, 4, 2, 4, 0, 3, 0, 3, 0, 0, 1, 4, 0, 3, 2, 2, 4, 2, 3, 0, 4, 4, 4, 1, 1, 0, 3, 0, 2, 3, 1, 0, 3, 4, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 3, 3, 3, 1, 2, 1, 0, 1, 2, 1, 3, 2, 2, 3, 2, 4, 1, 4, 4, 1, 3, 0, 0, 3, 0, 0, 0, 0, 4, 3, 1, 0, 4, 1, 2, 1, 1, 1, 0, 1, 0, 3, 2, 0, 0, 1, 2, 4, 3, 1, 4, 4, 3, 1, 4, 4, 4, 2, 3, 2, 1, 2, 0, 4, 1, 2, 0, 4, 1, 1, 3, 2, 1, 4, 0, 0, 1, 3, 4, 0, 1, 2, 1, 3, 3, 4]
pubkeycol1144 = [2, 3, 3, 1, 2, 4, 2, 1, 0, 3, 0, 2, 0, 1, 2, 4, 1, 2, 2, 0, 0, 1, 1, 1, 3, 0, 4, 1, 2, 3, 3, 2, 1, 0, 0, 0, 3, 1, 1, 1, 1, 3, 2, 0, 0, 2, 3, 2, 4, 3, 3, 2, 4, 3, 1, 1, 1, 1, 0, 0, 1, 3, 0, 3, 0, 3, 2, 2, 0, 4, 1, 4, 0, 4, 1, 3, 1, 0, 0, 0, 2, 1, 1, 2, 4, 0, 1, 2, 0, 1, 2, 0, 3, 2, 3, 1, 3, 2, 1, 2, 3, 0, 3, 4, 3, 1, 2, 4, 3, 3, 0, 3, 4, 0, 2, 0, 3, 3, 1, 4, 0, 2, 2, 4, 0, 2, 2, 1, 3, 2, 3, 1, 3, 0, 2, 1, 2, 0, 3, 0, 3, 3, 2, 0, 3, 4, 3, 4, 1, 4, 0, 0, 4, 4, 3, 2, 3, 4, 3, 1, 3, 0, 2, 0, 0, 2, 4, 2, 3, 1, 3, 0, 4, 2, 1, 4, 2, 1, 0, 4, 2, 2, 3, 2, 3, 0, 4, 4, 1, 1, 1, 0, 1, 2, 0, 4, 3, 2, 4, 4, 4, 2, 3, 4, 0, 3, 1, 3, 0, 2, 0, 1, 4, 3, 3, 3, 1, 1, 1, 4, 3, 2, 3, 1, 4, 4, 0, 3, 1, 0, 3, 3, 2, 2, 2, 3, 1, 2, 0, 3, 2, 3, 2, 2, 3, 4, 0, 0, 4, 3, 3, 3, 0, 0, 3, 2, 3, 0, 4, 3, 2, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 3, 1, 2, 2, 0, 0, 1, 3, 4, 4, 1, 3, 0, 1, 3, 3, 4, 3, 4, 2, 3, 3, 3, 1, 0, 3, 0, 4, 0, 4, 3, 0, 0, 1, 0, 3, 0, 0, 1, 2, 4, 3, 3, 2, 0, 3, 2, 2, 1, 4, 2, 4, 3, 4, 4, 3, 3, 4, 2, 0, 0, 3, 2, 2, 3, 4, 4, 1, 4, 1, 1, 3, 2, 0, 1, 1, 3, 0, 4, 3, 0, 4, 4, 3, 2, 2, 0, 0, 2, 1, 1, 3, 4, 0, 2, 3, 3, 3, 1, 3, 0, 4, 0, 2, 3, 4, 4, 4, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 3, 0, 4, 3, 1, 4, 3, 3]
pubkeycol1145 = [2, 2, 0, 0, 3, 4, 1, 3, 3, 2, 0, 0, 3, 3, 1, 3, 1, 2, 2, 1, 3, 2, 3, 3, 1, 1, 0, 0, 4, 2, 4, 3, 1, 0, 2, 4, 0, 4, 1, 2, 1, 2, 4, 0, 3, 2, 0, 4, 3, 2, 3, 0, 2, 0, 1, 3, 2, 0, 1, 0, 0, 0, 4, 2, 1, 3, 1, 4, 1, 0, 1, 4, 2, 4, 0, 3, 1, 2, 2, 4, 4, 0, 3, 3, 2, 0, 2, 2, 4, 1, 3, 0, 4, 1, 0, 1, 3, 1, 4, 3, 1, 3, 3, 3, 0, 4, 0, 1, 0, 2, 4, 2, 0, 1, 0, 1, 3, 3, 1, 0, 2, 3, 1, 3, 0, 0, 3, 0, 3, 1, 4, 0, 1, 2, 0, 4, 0, 1, 0, 1, 2, 2, 1, 3, 1, 3, 1, 3, 0, 3, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 1, 4, 0, 1, 3, 2, 0, 2, 4, 4, 2, 4, 3, 4, 3, 1, 4, 1, 4, 1, 0, 0, 3, 3, 2, 4, 2, 1, 0, 1, 3, 0, 3, 3, 2, 2, 4, 4, 1, 3, 1, 4, 4, 1, 2, 3, 3, 1, 4, 2, 0, 4, 0, 0, 2, 3, 2, 2, 4, 0, 1, 1, 1, 0, 3, 4, 4, 3, 3, 1, 4, 3, 1, 2, 1, 0, 1, 3, 1, 2, 4, 1, 1, 2, 1, 4, 4, 4, 3, 1, 4, 2, 3, 2, 2, 4, 4, 1, 4, 0, 0, 0, 2, 4, 1, 4, 3, 0, 3, 4, 2, 0, 0, 0, 2, 3, 1, 3, 1, 1, 3, 1, 2, 1, 1, 3, 3, 2, 1, 1, 2, 4, 1, 0, 4, 1, 2, 2, 1, 1, 4, 4, 1, 0, 4, 1, 3, 3, 3, 0, 1, 3, 2, 3, 0, 4, 3, 0, 0, 4, 3, 2, 0, 2, 3, 0, 2, 4, 3, 1, 1, 4, 2, 2, 4, 2, 2, 2, 2, 1, 0, 2, 4, 3, 3, 2, 3, 2, 3, 4, 4, 2, 2, 0, 3, 1, 3, 2, 3, 3, 3, 1, 3, 0, 0, 4, 0, 0, 4, 0, 3, 0, 3, 1, 0, 2, 3, 2, 3, 2, 0, 1, 0, 4, 3, 4, 2, 4, 0, 4, 2, 0, 2, 4, 4, 2, 1, 4, 2, 1]
pubkeycol1146 = [2, 4, 1, 1, 0, 2, 1, 0, 0, 2, 4, 1, 2, 1, 2, 1, 4, 3, 0, 1, 1, 3, 2, 0, 1, 3, 1, 2, 0, 2, 0, 4, 1, 3, 4, 3, 4, 4, 1, 1, 1, 0, 0, 4, 2, 4, 2, 1, 0, 0, 2, 4, 3, 0, 0, 3, 3, 1, 3, 4, 3, 3, 3, 4, 3, 0, 0, 2, 0, 2, 1, 4, 4, 2, 0, 4, 0, 4, 2, 4, 3, 1, 2, 1, 1, 0, 4, 1, 2, 1, 0, 3, 2, 3, 1, 3, 3, 3, 0, 4, 2, 3, 3, 2, 3, 3, 2, 0, 3, 2, 0, 4, 2, 0, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 4, 2, 1, 4, 2, 4, 0, 1, 3, 3, 1, 4, 0, 2, 1, 3, 3, 0, 4, 0, 3, 3, 3, 3, 0, 1, 0, 0, 3, 3, 3, 1, 4, 4, 1, 0, 3, 1, 2, 3, 4, 2, 1, 3, 0, 3, 3, 2, 0, 1, 4, 2, 1, 2, 2, 3, 3, 4, 4, 3, 2, 0, 3, 4, 4, 4, 1, 1, 4, 2, 3, 1, 4, 4, 1, 4, 2, 0, 4, 3, 1, 0, 0, 1, 4, 3, 3, 4, 3, 2, 2, 0, 3, 2, 2, 2, 3, 0, 1, 2, 3, 3, 3, 1, 0, 1, 2, 0, 4, 0, 0, 2, 1, 2, 2, 4, 4, 1, 2, 1, 0, 3, 2, 2, 4, 0, 4, 0, 4, 0, 3, 4, 4, 1, 0, 1, 2, 3, 1, 1, 1, 0, 0, 2, 3, 3, 3, 1, 3, 4, 4, 4, 2, 4, 4, 2, 0, 3, 2, 0, 1, 0, 1, 4, 3, 2, 1, 1, 0, 1, 1, 0, 1, 4, 4, 4, 2, 0, 1, 1, 3, 1, 1, 1, 4, 0, 1, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 2, 4, 3, 3, 2, 4, 2, 0, 2, 2, 1, 4, 0, 0, 1, 2, 0, 2, 2, 1, 3, 1, 4, 1, 2, 0, 2, 4, 1, 4, 3, 4, 1, 2, 3, 2, 2, 0, 1, 1, 4, 0, 0, 1, 4, 4, 1, 2, 3, 4, 1, 3, 2, 1, 1, 1, 0, 0, 3, 3, 4, 4, 1, 4, 4, 4, 2, 1, 0, 4, 3, 4, 1, 1, 2, 1, 4, 3, 2]
pubkeycol1147 = [0, 2, 1, 2, 0, 3, 0, 3, 0, 2, 0, 2, 2, 4, 2, 4, 0, 0, 2, 1, 2, 2, 0, 1, 1, 4, 4, 2, 1, 4, 4, 0, 4, 2, 4, 3, 3, 2, 4, 3, 3, 1, 2, 3, 0, 1, 2, 1, 2, 1, 1, 4, 1, 0, 3, 3, 0, 2, 4, 3, 3, 1, 0, 3, 2, 1, 1, 3, 0, 4, 0, 0, 4, 2, 0, 4, 0, 2, 0, 2, 3, 1, 2, 3, 2, 0, 0, 0, 3, 1, 0, 4, 0, 4, 1, 0, 1, 0, 2, 2, 2, 3, 4, 4, 3, 3, 3, 1, 0, 1, 0, 0, 0, 1, 4, 3, 1, 1, 3, 2, 2, 0, 1, 3, 2, 3, 2, 2, 2, 1, 4, 3, 4, 2, 1, 1, 2, 3, 1, 1, 1, 3, 0, 4, 2, 3, 4, 0, 4, 4, 1, 0, 2, 2, 2, 4, 2, 4, 3, 3, 3, 2, 0, 1, 3, 4, 3, 4, 4, 3, 4, 3, 1, 0, 3, 1, 0, 4, 4, 0, 4, 4, 2, 3, 1, 1, 0, 4, 4, 3, 0, 3, 4, 4, 4, 2, 2, 1, 3, 1, 2, 1, 1, 2, 3, 3, 3, 4, 2, 4, 2, 2, 2, 4, 0, 2, 1, 4, 0, 1, 4, 4, 2, 2, 4, 3, 2, 4, 4, 0, 3, 2, 3, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 3, 2, 0, 3, 1, 1, 3, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 2, 4, 4, 4, 4, 2, 1, 2, 0, 3, 4, 4, 2, 2, 2, 4, 1, 1, 2, 4, 4, 4, 4, 3, 2, 4, 4, 4, 1, 1, 0, 2, 1, 4, 2, 1, 0, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 2, 0, 2, 3, 1, 3, 1, 1, 2, 2, 2, 4, 0, 2, 2, 1, 0, 0, 0, 3, 1, 2, 1, 4, 0, 0, 2, 3, 0, 1, 2, 0, 3, 3, 0, 1, 4, 3, 4, 3, 3, 0, 4, 4, 1, 2, 3, 0, 2, 1, 0, 3, 1, 1, 4, 2, 4, 3, 3, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 0, 1, 4, 2, 1, 1, 4, 3, 2, 2, 0, 4, 2, 0, 2, 0, 4, 0, 4, 1, 2, 0, 1]
pubkeycol1148 = [4, 3, 3, 4, 0, 2, 1, 4, 2, 4, 4, 1, 0, 0, 0, 4, 2, 0, 0, 2, 2, 2, 3, 4, 4, 2, 2, 3, 4, 1, 4, 3, 3, 1, 2, 3, 0, 4, 2, 0, 1, 3, 4, 1, 0, 1, 0, 1, 4, 4, 3, 2, 0, 1, 4, 1, 2, 4, 2, 1, 0, 2, 4, 1, 0, 4, 0, 0, 2, 0, 4, 0, 0, 4, 1, 0, 3, 1, 1, 2, 3, 3, 1, 0, 2, 1, 3, 3, 0, 3, 3, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 1, 1, 4, 0, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 4, 0, 2, 0, 0, 2, 0, 4, 2, 2, 0, 0, 4, 2, 1, 3, 2, 3, 3, 1, 2, 0, 1, 1, 1, 1, 0, 4, 2, 2, 4, 1, 4, 2, 2, 2, 0, 0, 1, 3, 4, 1, 4, 2, 0, 2, 0, 4, 0, 3, 4, 4, 3, 0, 0, 2, 2, 3, 1, 3, 2, 4, 2, 1, 0, 2, 1, 1, 2, 3, 1, 0, 2, 0, 2, 3, 3, 4, 3, 1, 1, 1, 4, 4, 4, 1, 4, 0, 3, 0, 1, 0, 4, 4, 0, 3, 4, 0, 4, 3, 4, 4, 3, 0, 4, 1, 2, 2, 1, 0, 3, 0, 4, 2, 1, 2, 1, 4, 2, 0, 2, 3, 3, 2, 1, 4, 3, 3, 4, 2, 1, 2, 0, 2, 3, 3, 0, 1, 4, 1, 0, 0, 1, 2, 1, 4, 3, 0, 4, 1, 4, 0, 4, 1, 2, 1, 4, 3, 1, 0, 2, 0, 0, 2, 4, 0, 0, 2, 4, 3, 2, 4, 2, 1, 4, 0, 3, 1, 3, 3, 2, 0, 1, 0, 3, 0, 2, 0, 0, 0, 1, 1, 4, 3, 4, 1, 0, 0, 4, 4, 1, 1, 2, 2, 2, 1, 1, 0, 0, 4, 3, 2, 1, 4, 3, 1, 4, 2, 1, 3, 1, 3, 1, 1, 1, 4, 0, 4, 2, 0, 4, 3, 0, 1, 4, 0, 2, 3, 3, 3, 3, 0, 4, 3, 2, 2, 1, 0, 3, 2, 2, 1, 3, 1, 2, 0, 4, 3, 0, 3, 2, 0, 0, 3, 3, 1, 1, 3, 0, 1, 0, 1, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0]
pubkeycol1149 = [4, 4, 0, 1, 3, 1, 1, 1, 1, 4, 1, 0, 3, 2, 3, 1, 2, 0, 3, 3, 2, 4, 1, 3, 3, 1, 4, 0, 2, 1, 4, 4, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 4, 0, 4, 4, 2, 3, 3, 1, 3, 3, 2, 1, 3, 4, 0, 2, 1, 3, 0, 4, 1, 0, 0, 0, 0, 1, 3, 3, 0, 1, 4, 0, 1, 0, 3, 2, 3, 0, 0, 2, 0, 0, 2, 4, 4, 2, 3, 2, 1, 0, 2, 0, 2, 4, 4, 1, 3, 2, 3, 2, 0, 0, 2, 3, 2, 2, 3, 1, 3, 3, 3, 2, 1, 3, 4, 1, 1, 4, 4, 2, 2, 1, 1, 3, 2, 2, 4, 2, 2, 0, 2, 0, 0, 3, 3, 0, 1, 4, 4, 0, 1, 1, 0, 2, 0, 3, 4, 4, 2, 4, 4, 3, 0, 0, 3, 2, 3, 2, 1, 2, 2, 1, 0, 2, 4, 2, 0, 1, 0, 4, 3, 3, 0, 3, 2, 0, 4, 1, 2, 1, 2, 2, 1, 1, 2, 1, 3, 3, 4, 2, 2, 3, 0, 2, 4, 4, 0, 1, 4, 1, 1, 3, 1, 0, 0, 3, 1, 4, 3, 4, 3, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 3, 1, 0, 1, 4, 3, 1, 1, 3, 1, 0, 1, 1, 1, 4, 2, 1, 4, 0, 2, 3, 2, 2, 3, 2, 4, 0, 3, 1, 4, 2, 2, 0, 3, 1, 1, 4, 0, 1, 2, 1, 4, 4, 4, 3, 0, 0, 0, 2, 1, 4, 3, 0, 3, 1, 1, 3, 4, 2, 2, 1, 1, 0, 3, 4, 1, 0, 3, 3, 2, 0, 2, 2, 1, 3, 0, 4, 2, 2, 4, 3, 4, 0, 4, 2, 4, 1, 0, 3, 1, 1, 2, 4, 1, 1, 4, 3, 4, 0, 2, 3, 1, 2, 1, 1, 3, 1, 4, 2, 0, 3, 0, 0, 1, 2, 0, 1, 0, 0, 3, 2, 4, 4, 3, 2, 0, 1, 0, 4, 0, 0, 3, 1, 3, 2, 1, 3, 4, 1, 1, 3, 1, 4, 4, 1, 2, 1, 4, 3, 0, 0, 1, 0, 1, 4, 4, 0, 2, 4, 0, 1, 3, 3, 4, 3, 2, 3, 3, 1, 1, 0, 0, 3]
pubkeycol1150 = [3, 2, 1, 2, 1, 3, 2, 2, 1, 4, 2, 0, 1, 3, 2, 1, 0, 4, 4, 4, 0, 1, 0, 1, 2, 4, 4, 2, 0, 1, 2, 0, 3, 0, 0, 2, 4, 4, 2, 2, 2, 4, 0, 0, 1, 4, 2, 0, 4, 2, 2, 0, 3, 1, 3, 0, 0, 1, 1, 3, 3, 1, 2, 2, 0, 3, 4, 4, 3, 2, 2, 2, 4, 4, 3, 0, 0, 3, 3, 0, 1, 4, 0, 3, 2, 2, 2, 0, 3, 3, 2, 1, 4, 4, 2, 2, 3, 1, 1, 3, 1, 0, 0, 4, 4, 3, 4, 0, 3, 4, 3, 0, 0, 0, 4, 4, 1, 1, 4, 1, 4, 3, 3, 2, 4, 3, 4, 3, 0, 1, 2, 2, 1, 3, 4, 3, 2, 3, 0, 3, 0, 4, 2, 1, 2, 2, 2, 2, 4, 2, 4, 1, 1, 2, 2, 3, 0, 3, 3, 2, 4, 0, 4, 3, 3, 0, 4, 4, 4, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 3, 1, 3, 0, 3, 3, 2, 2, 2, 1, 0, 4, 0, 3, 1, 2, 0, 4, 2, 4, 2, 1, 1, 2, 0, 3, 4, 2, 2, 1, 2, 3, 4, 3, 1, 2, 1, 2, 2, 4, 3, 3, 0, 3, 2, 2, 0, 3, 0, 1, 4, 1, 3, 3, 4, 2, 3, 0, 3, 3, 3, 4, 0, 0, 4, 3, 1, 4, 0, 1, 4, 2, 0, 0, 4, 0, 1, 3, 2, 0, 4, 4, 0, 0, 3, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 4, 0, 4, 2, 1, 2, 4, 4, 3, 2, 2, 3, 3, 2, 3, 4, 1, 0, 1, 1, 4, 1, 3, 3, 1, 0, 0, 2, 4, 1, 3, 0, 1, 4, 3, 2, 0, 2, 4, 1, 0, 1, 3, 4, 3, 3, 4, 4, 1, 0, 0, 3, 1, 4, 1, 3, 0, 0, 4, 1, 4, 2, 2, 3, 3, 1, 4, 1, 3, 1, 0, 2, 0, 2, 1, 0, 3, 0, 4, 1, 0, 2, 0, 4, 1, 3, 0, 4, 4, 0, 3, 4, 4, 2, 1, 0, 0, 3, 1, 3, 3, 4, 2, 2, 4, 1, 4, 3, 2, 2, 3, 0, 3, 2, 1, 2, 3, 2, 1, 1, 0, 1, 2, 0, 1]
pubkeycol1151 = [0, 0, 1, 0, 1, 3, 1, 1, 3, 0, 3, 1, 4, 3, 1, 0, 0, 4, 4, 4, 1, 4, 4, 2, 4, 2, 0, 0, 4, 3, 1, 2, 3, 2, 2, 4, 4, 4, 4, 1, 2, 0, 1, 1, 0, 0, 0, 2, 4, 2, 3, 3, 2, 3, 0, 1, 1, 3, 4, 3, 0, 2, 3, 1, 0, 4, 4, 3, 0, 2, 4, 4, 0, 0, 1, 3, 2, 1, 1, 3, 3, 3, 0, 3, 0, 4, 4, 1, 1, 4, 1, 2, 1, 2, 2, 2, 0, 3, 0, 1, 0, 0, 0, 1, 1, 4, 1, 0, 3, 4, 3, 0, 4, 3, 4, 4, 1, 4, 3, 4, 0, 0, 2, 3, 4, 0, 2, 2, 3, 1, 3, 0, 0, 3, 3, 3, 2, 4, 2, 3, 3, 1, 1, 3, 0, 4, 0, 4, 0, 3, 0, 0, 4, 3, 3, 2, 3, 2, 4, 0, 1, 2, 0, 3, 2, 2, 3, 0, 3, 2, 3, 1, 0, 3, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 4, 4, 0, 4, 2, 1, 1, 4, 0, 2, 1, 0, 1, 3, 3, 2, 3, 1, 1, 0, 1, 4, 0, 0, 2, 1, 1, 3, 1, 1, 1, 3, 2, 1, 3, 2, 2, 4, 1, 4, 4, 2, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 1, 3, 4, 2, 0, 3, 2, 3, 0, 0, 0, 3, 1, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 0, 3, 0, 2, 1, 2, 3, 4, 1, 2, 0, 4, 0, 1, 2, 0, 0, 2, 2, 4, 3, 1, 4, 3, 1, 4, 4, 1, 2, 2, 3, 4, 0, 0, 0, 0, 2, 0, 1, 0, 3, 2, 2, 4, 1, 1, 2, 0, 0, 1, 4, 0, 3, 4, 3, 4, 0, 2, 0, 0, 0, 2, 0, 3, 4, 3, 1, 3, 1, 0, 4, 3, 1, 3, 1, 1, 4, 0, 4, 0, 2, 2, 3, 2, 0, 4, 2, 0, 3, 3, 3, 4, 4, 1, 4, 0, 1, 1, 3, 3, 1, 3, 0, 2, 0, 3, 3, 2, 3, 3, 2, 3, 2, 1, 4, 0, 3, 0, 4, 3, 4, 3, 2, 1, 4, 4, 1, 1, 1, 4, 1, 4, 1, 0, 2, 3, 1, 0, 0]
pubkeycol1152 = [0, 1, 1, 0, 2, 4, 3, 4, 1, 1, 0, 4, 0, 3, 4, 0, 0, 4, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 0, 0, 3, 0, 4, 2, 1, 2, 2, 1, 0, 3, 2, 4, 3, 0, 4, 1, 3, 2, 2, 0, 4, 2, 0, 1, 1, 1, 4, 2, 2, 2, 2, 0, 1, 3, 0, 3, 2, 4, 4, 0, 1, 0, 3, 1, 0, 2, 3, 1, 3, 0, 0, 4, 3, 2, 4, 0, 1, 3, 0, 1, 2, 1, 1, 4, 1, 1, 3, 4, 0, 3, 3, 3, 1, 1, 2, 1, 1, 0, 1, 0, 3, 3, 2, 3, 4, 3, 1, 0, 0, 2, 2, 4, 2, 4, 1, 4, 3, 1, 3, 1, 3, 1, 2, 0, 4, 2, 1, 0, 4, 1, 1, 4, 1, 2, 2, 1, 1, 2, 1, 1, 4, 0, 3, 2, 2, 4, 1, 4, 1, 4, 1, 1, 2, 3, 0, 2, 0, 4, 3, 2, 3, 1, 0, 1, 4, 2, 3, 3, 1, 4, 0, 1, 4, 1, 2, 4, 0, 4, 4, 2, 3, 0, 2, 0, 0, 4, 4, 1, 3, 0, 0, 1, 1, 4, 4, 4, 1, 0, 2, 4, 2, 1, 0, 3, 2, 4, 3, 0, 2, 3, 0, 2, 2, 2, 4, 0, 4, 0, 4, 2, 1, 3, 3, 1, 2, 3, 3, 2, 1, 0, 1, 4, 3, 0, 1, 4, 2, 2, 3, 2, 2, 0, 0, 2, 3, 2, 0, 0, 4, 4, 2, 2, 0, 0, 3, 4, 3, 4, 4, 0, 3, 0, 2, 3, 1, 2, 2, 0, 1, 2, 4, 0, 1, 2, 2, 0, 2, 3, 3, 1, 0, 2, 4, 3, 4, 0, 1, 0, 4, 4, 2, 1, 3, 2, 2, 4, 2, 4, 2, 4, 4, 2, 4, 0, 1, 2, 1, 4, 0, 0, 0, 2, 3, 1, 3, 4, 3, 3, 1, 2, 2, 1, 3, 0, 0, 0, 1, 2, 3, 0, 2, 4, 4, 4, 1, 2, 0, 2, 2, 3, 3, 4, 4, 3, 0, 4, 0, 2, 2, 2, 2, 0, 2, 3, 2, 3, 2, 0, 1, 2, 2, 0, 3, 3, 2, 1, 4, 3, 3, 0, 0, 3, 2, 1, 1, 4, 0, 2, 2, 1, 0, 2, 1, 2, 3, 2, 0, 4, 4, 2]
pubkeycol1153 = [1, 0, 0, 3, 3, 1, 2, 0, 0, 2, 2, 4, 1, 3, 1, 0, 2, 4, 3, 4, 3, 4, 0, 0, 3, 1, 2, 1, 2, 3, 0, 1, 1, 0, 3, 4, 4, 0, 0, 1, 1, 4, 2, 2, 1, 2, 4, 0, 3, 3, 2, 2, 3, 3, 2, 0, 0, 3, 3, 0, 1, 4, 4, 2, 4, 0, 1, 3, 0, 1, 3, 0, 0, 3, 2, 0, 1, 2, 4, 0, 0, 3, 3, 1, 1, 2, 2, 0, 3, 1, 4, 0, 2, 2, 3, 2, 3, 4, 2, 0, 2, 2, 2, 4, 0, 1, 2, 2, 2, 1, 4, 0, 2, 3, 4, 3, 3, 1, 0, 4, 1, 2, 0, 0, 4, 3, 3, 2, 4, 4, 1, 3, 1, 2, 0, 1, 4, 2, 0, 4, 0, 1, 0, 2, 0, 2, 1, 2, 3, 4, 0, 1, 1, 1, 2, 2, 0, 2, 3, 3, 2, 4, 0, 0, 2, 1, 2, 4, 4, 3, 3, 3, 3, 2, 4, 1, 2, 0, 0, 1, 1, 2, 4, 4, 1, 1, 4, 3, 3, 4, 1, 4, 3, 1, 2, 1, 4, 0, 2, 2, 2, 3, 3, 1, 1, 4, 4, 4, 3, 2, 0, 0, 2, 3, 1, 4, 1, 4, 4, 2, 1, 2, 0, 0, 0, 4, 0, 1, 0, 2, 3, 2, 0, 4, 2, 0, 2, 4, 0, 4, 4, 1, 3, 0, 0, 4, 1, 4, 3, 1, 2, 1, 3, 1, 0, 2, 0, 2, 3, 1, 3, 0, 1, 0, 4, 2, 0, 1, 1, 2, 0, 0, 2, 0, 3, 0, 1, 0, 2, 3, 1, 0, 3, 3, 1, 0, 4, 3, 1, 2, 2, 1, 0, 0, 3, 3, 0, 1, 0, 0, 2, 0, 4, 1, 4, 1, 4, 3, 0, 1, 3, 2, 1, 3, 4, 2, 4, 1, 0, 0, 1, 0, 0, 0, 4, 2, 1, 0, 3, 2, 1, 4, 4, 1, 0, 2, 2, 0, 0, 2, 4, 4, 1, 0, 0, 4, 3, 2, 3, 4, 3, 2, 2, 4, 3, 1, 1, 3, 1, 4, 2, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 4, 0, 0, 3, 4, 2, 4, 3, 1, 0, 1, 0, 4, 4, 1, 0, 3, 0, 3, 0, 0, 2, 2]
pubkeycol1154 = [3, 2, 0, 3, 2, 1, 2, 3, 3, 4, 2, 0, 0, 0, 3, 2, 1, 4, 0, 2, 4, 4, 1, 2, 4, 1, 4, 2, 0, 0, 0, 4, 3, 4, 1, 1, 4, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 1, 4, 0, 3, 4, 2, 4, 4, 3, 4, 3, 4, 1, 3, 1, 2, 0, 1, 2, 0, 3, 1, 0, 2, 4, 1, 2, 2, 1, 3, 3, 0, 4, 2, 1, 4, 1, 4, 4, 3, 1, 2, 4, 2, 3, 4, 1, 0, 1, 1, 0, 4, 4, 1, 3, 3, 1, 1, 4, 2, 0, 0, 2, 0, 2, 3, 0, 4, 1, 0, 1, 0, 2, 4, 0, 0, 0, 1, 3, 1, 1, 2, 4, 3, 1, 0, 0, 1, 2, 4, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 3, 4, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 4, 4, 2, 1, 4, 3, 3, 1, 3, 1, 4, 0, 4, 0, 3, 4, 3, 1, 0, 0, 4, 1, 2, 1, 2, 1, 3, 3, 0, 4, 1, 2, 4, 4, 4, 4, 0, 0, 3, 4, 3, 0, 1, 0, 0, 1, 3, 0, 3, 4, 2, 3, 4, 4, 3, 4, 0, 3, 2, 4, 4, 2, 1, 3, 2, 4, 0, 4, 1, 3, 0, 2, 2, 3, 1, 2, 1, 1, 1, 0, 2, 1, 2, 4, 0, 3, 2, 3, 1, 4, 1, 1, 0, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 2, 0, 3, 3, 3, 2, 1, 3, 4, 4, 1, 4, 3, 1, 3, 2, 4, 3, 2, 4, 2, 4, 3, 4, 2, 1, 0, 3, 4, 4, 4, 4, 0, 0, 3, 4, 0, 1, 4, 4, 2, 4, 0, 3, 4, 1, 2, 1, 3, 0, 1, 0, 2, 3, 1, 0, 2, 2, 3, 0, 2, 0, 0, 3, 3, 1, 4, 3, 3, 2, 0, 0, 0, 2, 2, 4, 2, 0, 2, 0, 4, 1, 1, 0, 3, 2, 2, 1, 0, 2, 4, 3, 3, 1, 2, 4, 4, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 3, 1, 4, 0, 3, 2, 4, 3, 2, 2, 2, 0, 0, 3, 2, 4, 2, 1, 1, 4, 4, 0, 2, 1, 3, 1, 0]
pubkeycol1155 = [1, 3, 4, 4, 0, 2, 4, 4, 0, 2, 1, 2, 0, 3, 1, 0, 3, 4, 1, 4, 0, 1, 0, 3, 1, 0, 0, 2, 1, 3, 4, 3, 0, 2, 2, 1, 4, 2, 1, 3, 2, 4, 0, 2, 0, 4, 2, 0, 4, 4, 0, 3, 3, 1, 1, 4, 3, 2, 0, 1, 3, 3, 0, 1, 2, 2, 1, 2, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 0, 0, 3, 1, 0, 1, 1, 4, 0, 0, 3, 2, 3, 0, 1, 4, 2, 3, 2, 3, 3, 3, 2, 4, 1, 0, 4, 4, 4, 2, 0, 3, 1, 0, 0, 2, 0, 3, 3, 0, 1, 0, 0, 1, 1, 1, 2, 4, 2, 2, 4, 1, 3, 0, 3, 2, 1, 3, 0, 1, 0, 2, 1, 2, 1, 0, 3, 1, 0, 0, 4, 2, 2, 1, 4, 2, 4, 2, 4, 0, 2, 0, 1, 3, 1, 2, 0, 1, 0, 2, 0, 4, 0, 0, 3, 2, 1, 3, 3, 3, 2, 3, 1, 2, 1, 4, 1, 2, 2, 4, 0, 3, 4, 1, 4, 0, 1, 3, 0, 3, 3, 2, 4, 0, 1, 4, 4, 1, 3, 0, 4, 1, 3, 0, 1, 4, 4, 0, 4, 4, 2, 1, 2, 0, 2, 2, 1, 1, 4, 2, 1, 4, 2, 2, 2, 1, 1, 4, 1, 0, 3, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 3, 1, 4, 2, 4, 4, 2, 4, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 3, 2, 4, 1, 2, 4, 2, 0, 3, 4, 0, 1, 1, 0, 2, 0, 2, 3, 2, 4, 3, 4, 3, 3, 3, 0, 2, 1, 4, 4, 0, 3, 1, 0, 0, 3, 0, 2, 2, 0, 3, 3, 3, 0, 0, 2, 2, 4, 2, 1, 3, 2, 4, 1, 1, 4, 1, 4, 1, 1, 3, 0, 1, 1, 0, 3, 4, 3, 2, 2, 3, 1, 3, 3, 0, 1, 3, 4, 3, 0, 4, 2, 1, 3, 1, 0, 4, 1, 2, 2, 0, 3, 4, 1, 2, 4, 0, 4, 2, 0, 3, 4, 3, 0, 4, 0, 4, 1, 2, 0, 4, 3, 1, 4, 1, 1, 3, 1, 4, 1, 3, 3]
pubkeycol1156 = [0, 4, 0, 3, 1, 3, 1, 0, 2, 0, 0, 0, 1, 1, 4, 1, 4, 1, 3, 3, 3, 0, 1, 2, 2, 3, 2, 3, 4, 3, 3, 2, 3, 1, 2, 2, 4, 3, 1, 3, 4, 1, 3, 3, 4, 4, 0, 0, 1, 0, 0, 0, 2, 1, 2, 3, 4, 3, 3, 1, 3, 4, 0, 0, 2, 4, 1, 4, 2, 3, 4, 3, 0, 0, 1, 1, 0, 0, 2, 2, 3, 4, 0, 1, 4, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 3, 1, 3, 0, 1, 4, 3, 4, 4, 3, 3, 0, 4, 0, 4, 2, 2, 4, 2, 2, 4, 2, 4, 2, 1, 3, 2, 4, 0, 1, 4, 1, 4, 1, 3, 3, 2, 4, 3, 1, 1, 4, 3, 0, 4, 1, 1, 2, 3, 3, 0, 0, 2, 2, 1, 4, 2, 2, 1, 1, 1, 2, 2, 1, 1, 3, 4, 0, 1, 4, 2, 3, 3, 0, 3, 3, 0, 2, 3, 1, 2, 3, 1, 4, 4, 0, 2, 0, 2, 3, 0, 0, 4, 2, 0, 4, 2, 3, 0, 0, 0, 2, 1, 4, 0, 0, 1, 4, 4, 2, 2, 3, 3, 1, 2, 4, 4, 0, 2, 2, 4, 3, 2, 2, 1, 2, 3, 0, 3, 4, 3, 0, 1, 0, 2, 3, 2, 1, 3, 3, 3, 2, 0, 3, 1, 1, 0, 0, 4, 2, 2, 3, 4, 3, 2, 1, 4, 0, 4, 3, 0, 1, 1, 1, 2, 0, 4, 1, 3, 4, 3, 0, 3, 3, 0, 2, 3, 1, 3, 3, 0, 1, 2, 3, 2, 1, 0, 3, 2, 2, 3, 3, 0, 2, 3, 3, 4, 1, 3, 0, 4, 0, 4, 2, 4, 1, 1, 1, 2, 2, 2, 4, 3, 0, 1, 0, 1, 4, 3, 1, 4, 4, 4, 2, 2, 3, 2, 4, 1, 2, 0, 1, 0, 4, 0, 3, 1, 1, 4, 0, 0, 3, 1, 1, 3, 2, 0, 0, 0, 3, 1, 0, 1, 4, 3, 4, 0, 1, 1, 1, 2, 2, 4, 0, 0, 3, 1, 4, 2, 3, 1, 3, 4, 3, 4, 1, 1, 1, 1, 2, 2, 1, 4, 3, 2, 2, 4, 1, 4, 0, 1, 0, 1, 4, 2, 4, 1, 4, 2, 4, 0, 1, 1, 3, 0]
pubkeycol1157 = [3, 3, 0, 1, 2, 0, 4, 0, 4, 4, 4, 4, 4, 0, 3, 4, 0, 4, 3, 4, 3, 4, 3, 1, 4, 3, 1, 1, 4, 4, 4, 2, 3, 1, 3, 0, 3, 0, 0, 2, 1, 1, 2, 2, 4, 2, 4, 3, 3, 0, 3, 4, 3, 2, 4, 3, 2, 2, 4, 3, 4, 1, 2, 4, 4, 4, 3, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 4, 3, 3, 2, 0, 0, 0, 4, 2, 3, 1, 1, 3, 2, 2, 0, 4, 1, 3, 1, 1, 4, 1, 4, 3, 0, 3, 4, 4, 3, 2, 4, 0, 0, 1, 2, 1, 4, 1, 4, 1, 3, 2, 0, 4, 0, 0, 4, 2, 3, 3, 2, 3, 1, 2, 1, 0, 3, 0, 3, 3, 4, 1, 4, 1, 1, 2, 4, 3, 1, 0, 3, 3, 3, 3, 0, 2, 1, 4, 0, 3, 0, 0, 0, 1, 3, 1, 1, 2, 3, 3, 1, 2, 2, 4, 1, 2, 4, 1, 3, 0, 4, 0, 3, 0, 1, 2, 4, 4, 1, 4, 2, 3, 2, 3, 3, 0, 1, 4, 3, 4, 3, 1, 0, 1, 0, 1, 0, 3, 1, 3, 3, 3, 1, 1, 1, 0, 4, 2, 3, 2, 4, 3, 0, 3, 4, 0, 2, 0, 0, 3, 1, 0, 0, 0, 3, 4, 1, 2, 3, 4, 0, 0, 4, 2, 1, 2, 3, 3, 3, 1, 1, 0, 0, 0, 3, 1, 3, 1, 0, 3, 4, 4, 0, 0, 2, 2, 1, 2, 4, 3, 4, 0, 2, 2, 0, 0, 0, 4, 2, 1, 4, 4, 1, 3, 1, 3, 4, 3, 1, 3, 0, 3, 2, 1, 1, 0, 0, 2, 1, 3, 4, 4, 1, 3, 2, 1, 1, 2, 0, 2, 3, 2, 1, 4, 4, 2, 2, 1, 4, 3, 1, 3, 0, 4, 0, 1, 2, 2, 2, 3, 4, 0, 2, 3, 0, 0, 4, 1, 3, 1, 0, 1, 0, 1, 2, 2, 2, 4, 0, 2, 1, 1, 0, 4, 2, 2, 4, 3, 3, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 3, 3, 4, 2, 4, 0, 2, 3, 3, 1, 0, 0, 1, 4, 0, 2, 4, 4, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 4, 1, 4]
pubkeycol1158 = [1, 4, 4, 4, 0, 3, 1, 1, 3, 4, 0, 1, 4, 3, 1, 2, 2, 2, 1, 2, 3, 4, 2, 1, 1, 4, 3, 0, 1, 4, 2, 4, 3, 1, 1, 2, 4, 0, 2, 4, 3, 2, 1, 0, 0, 3, 3, 1, 4, 3, 2, 0, 3, 0, 0, 4, 3, 4, 4, 1, 4, 3, 4, 1, 2, 4, 4, 4, 2, 1, 0, 4, 3, 3, 0, 1, 4, 1, 3, 0, 1, 3, 4, 3, 3, 1, 2, 4, 3, 2, 3, 0, 3, 0, 4, 0, 0, 3, 4, 1, 4, 0, 4, 3, 3, 3, 1, 2, 0, 0, 4, 3, 2, 2, 1, 4, 2, 0, 4, 3, 3, 1, 3, 4, 0, 1, 1, 4, 4, 3, 3, 0, 4, 2, 3, 3, 2, 0, 0, 1, 4, 3, 2, 4, 4, 4, 4, 3, 4, 3, 3, 1, 2, 3, 0, 1, 1, 1, 1, 0, 3, 0, 1, 2, 1, 2, 2, 3, 1, 2, 0, 0, 1, 1, 3, 3, 1, 4, 1, 2, 4, 4, 3, 1, 3, 0, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 2, 0, 3, 0, 0, 2, 4, 0, 4, 0, 0, 1, 3, 2, 2, 4, 4, 1, 2, 1, 4, 3, 4, 2, 0, 4, 4, 0, 0, 3, 2, 0, 4, 1, 0, 0, 2, 0, 1, 3, 1, 0, 1, 2, 2, 2, 4, 4, 0, 3, 2, 3, 1, 4, 0, 0, 4, 2, 3, 4, 0, 4, 4, 3, 4, 3, 3, 3, 2, 2, 0, 4, 1, 3, 1, 2, 0, 1, 2, 3, 0, 3, 1, 0, 2, 2, 1, 4, 1, 3, 4, 3, 1, 1, 0, 1, 3, 1, 4, 4, 1, 0, 2, 4, 0, 2, 0, 0, 0, 3, 4, 3, 1, 3, 4, 3, 3, 0, 1, 1, 4, 3, 3, 2, 1, 3, 2, 1, 4, 3, 0, 3, 4, 0, 3, 0, 0, 2, 4, 2, 2, 4, 4, 2, 0, 1, 4, 3, 3, 4, 2, 4, 0, 1, 4, 2, 0, 1, 0, 4, 4, 0, 3, 2, 1, 0, 2, 4, 0, 1, 3, 0, 3, 0, 1, 1, 3, 0, 0, 0, 1, 0, 4, 3, 4, 4, 1, 2, 2, 1, 3, 3, 4, 3, 0, 3, 2, 4, 1, 1]
pubkeycol1159 = [1, 3, 0, 3, 3, 2, 4, 1, 0, 4, 2, 4, 0, 0, 1, 1, 3, 1, 1, 0, 3, 4, 0, 2, 4, 3, 4, 1, 4, 4, 0, 0, 2, 4, 0, 2, 2, 2, 2, 0, 1, 3, 0, 3, 3, 2, 3, 2, 3, 4, 0, 2, 0, 4, 3, 3, 1, 2, 1, 4, 4, 1, 3, 0, 4, 3, 2, 3, 2, 4, 0, 1, 1, 4, 0, 4, 0, 3, 3, 0, 2, 2, 4, 1, 2, 3, 2, 0, 3, 0, 2, 1, 1, 3, 3, 4, 3, 0, 2, 4, 3, 4, 2, 2, 0, 1, 4, 4, 2, 0, 2, 3, 0, 3, 3, 1, 4, 3, 0, 1, 3, 0, 0, 1, 1, 2, 2, 0, 1, 3, 3, 0, 2, 1, 2, 3, 0, 2, 0, 3, 0, 0, 3, 3, 2, 1, 2, 4, 1, 3, 3, 0, 4, 2, 1, 3, 4, 1, 3, 1, 4, 3, 0, 3, 3, 1, 2, 4, 3, 2, 3, 2, 3, 4, 4, 2, 3, 1, 0, 1, 0, 3, 2, 3, 2, 4, 4, 2, 2, 0, 3, 2, 1, 2, 1, 3, 1, 0, 2, 4, 4, 1, 1, 4, 0, 4, 4, 1, 3, 0, 4, 3, 4, 4, 2, 3, 4, 4, 2, 0, 2, 3, 1, 3, 4, 4, 2, 3, 1, 2, 0, 3, 0, 4, 3, 0, 3, 0, 0, 3, 4, 3, 2, 0, 2, 2, 3, 0, 4, 0, 4, 4, 3, 4, 0, 3, 0, 3, 1, 3, 2, 0, 4, 0, 1, 2, 2, 4, 1, 4, 0, 2, 2, 0, 1, 2, 4, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 4, 0, 1, 0, 2, 1, 2, 0, 1, 1, 4, 4, 3, 3, 3, 0, 4, 3, 0, 4, 1, 3, 2, 4, 2, 4, 2, 4, 1, 4, 2, 4, 1, 3, 4, 0, 3, 4, 0, 4, 0, 1, 3, 4, 1, 0, 3, 4, 3, 4, 1, 0, 0, 0, 3, 4, 2, 3, 3, 3, 1, 4, 2, 4, 2, 0, 4, 4, 4, 0, 1, 3, 4, 4, 1, 4, 4, 3, 4, 0, 1, 2, 1, 3, 0, 2, 1, 3, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 3, 4, 2, 3, 2, 1, 4, 3, 2, 3, 3, 0, 2, 2, 3]
pubkeycol1160 = [3, 3, 4, 4, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 3, 4, 2, 1, 2, 4, 4, 4, 3, 2, 3, 4, 2, 2, 2, 1, 2, 3, 1, 2, 2, 4, 3, 3, 1, 3, 3, 4, 1, 4, 1, 4, 0, 4, 4, 0, 3, 0, 1, 3, 1, 1, 2, 3, 0, 3, 2, 1, 1, 4, 4, 1, 2, 4, 3, 3, 3, 1, 3, 1, 4, 0, 1, 3, 3, 1, 2, 1, 2, 0, 1, 3, 2, 2, 4, 3, 3, 2, 2, 4, 4, 0, 3, 1, 0, 2, 2, 0, 3, 3, 4, 1, 2, 1, 3, 0, 2, 4, 3, 0, 4, 2, 1, 3, 0, 3, 3, 1, 4, 3, 1, 1, 2, 2, 3, 3, 4, 3, 3, 3, 4, 0, 1, 0, 3, 1, 1, 1, 1, 2, 4, 2, 1, 3, 3, 0, 3, 0, 3, 1, 3, 2, 1, 3, 1, 0, 1, 4, 4, 1, 0, 0, 2, 4, 0, 4, 1, 2, 2, 1, 2, 1, 3, 4, 4, 1, 3, 1, 0, 0, 4, 4, 2, 4, 4, 2, 3, 3, 2, 3, 0, 0, 1, 3, 4, 0, 4, 2, 0, 1, 1, 3, 3, 1, 0, 4, 4, 4, 0, 2, 1, 4, 1, 1, 2, 0, 4, 3, 0, 0, 4, 2, 4, 0, 2, 4, 3, 4, 2, 3, 4, 0, 4, 0, 1, 0, 2, 4, 4, 1, 4, 4, 3, 4, 2, 1, 0, 4, 1, 4, 3, 0, 0, 2, 1, 2, 3, 1, 4, 1, 4, 3, 1, 0, 1, 0, 0, 1, 0, 3, 0, 0, 4, 2, 4, 2, 4, 0, 2, 1, 3, 0, 1, 0, 2, 0, 4, 0, 2, 1, 3, 2, 4, 2, 2, 0, 4, 3, 1, 3, 0, 0, 0, 0, 2, 2, 2, 2, 4, 2, 3, 1, 2, 0, 2, 2, 4, 3, 4, 2, 3, 2, 3, 1, 2, 4, 2, 0, 0, 3, 4, 1, 2, 2, 3, 3, 4, 1, 2, 0, 4, 1, 3, 3, 0, 4, 0, 2, 2, 4, 4, 1, 1, 3, 1, 0, 3, 3, 2, 3, 1, 0, 4, 4, 2, 1, 1, 2, 3, 4, 1, 0, 3, 0, 4, 4, 0, 2, 4, 0, 3, 1, 2, 2, 3, 2, 3, 0, 3, 0, 2]
pubkeycol1161 = [4, 3, 3, 3, 4, 4, 4, 2, 2, 4, 0, 1, 1, 3, 0, 0, 4, 2, 3, 4, 4, 3, 2, 1, 0, 1, 4, 1, 1, 3, 1, 3, 4, 1, 2, 2, 1, 2, 0, 2, 0, 4, 4, 4, 2, 3, 4, 0, 0, 0, 0, 4, 0, 0, 0, 2, 2, 3, 1, 2, 0, 3, 0, 2, 0, 1, 1, 1, 0, 2, 0, 3, 0, 1, 4, 2, 2, 3, 1, 0, 2, 3, 4, 2, 0, 4, 4, 3, 1, 0, 2, 3, 3, 2, 3, 0, 3, 1, 0, 0, 2, 4, 1, 4, 4, 1, 3, 0, 1, 1, 0, 1, 4, 2, 1, 4, 1, 1, 2, 4, 1, 0, 0, 2, 4, 1, 1, 3, 1, 1, 0, 3, 1, 0, 2, 2, 0, 2, 3, 4, 3, 0, 0, 4, 2, 2, 0, 2, 2, 1, 4, 3, 1, 2, 4, 3, 4, 1, 0, 1, 4, 2, 1, 1, 1, 2, 0, 0, 1, 2, 3, 0, 2, 1, 3, 0, 4, 0, 4, 1, 3, 3, 1, 3, 4, 3, 4, 0, 1, 2, 4, 2, 0, 4, 2, 3, 2, 2, 3, 2, 2, 3, 1, 4, 1, 2, 1, 0, 4, 4, 1, 1, 3, 2, 2, 4, 4, 4, 0, 0, 1, 2, 2, 4, 1, 0, 3, 2, 1, 1, 1, 0, 1, 2, 2, 0, 3, 1, 0, 2, 2, 3, 3, 3, 1, 4, 0, 2, 0, 1, 1, 4, 4, 4, 4, 1, 1, 2, 1, 2, 3, 2, 2, 2, 0, 2, 3, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 4, 1, 2, 3, 3, 3, 1, 2, 2, 4, 2, 0, 2, 2, 4, 1, 3, 3, 1, 0, 3, 1, 3, 2, 4, 2, 3, 2, 3, 2, 4, 0, 2, 3, 4, 3, 3, 0, 3, 3, 2, 1, 1, 0, 3, 1, 4, 3, 1, 3, 3, 3, 2, 3, 0, 4, 1, 1, 0, 0, 0, 4, 2, 1, 2, 3, 1, 2, 3, 2, 1, 1, 2, 2, 4, 0, 4, 0, 1, 3, 2, 2, 0, 1, 2, 4, 4, 0, 3, 2, 2, 3, 2, 0, 2, 1, 1, 4, 1, 1, 1, 1, 4, 2, 2, 1, 2, 0, 4, 2, 3, 2, 0, 1, 4, 3, 2, 3, 4, 0, 3, 4, 4]
pubkeycol1162 = [4, 3, 1, 2, 4, 1, 0, 1, 2, 1, 1, 0, 4, 0, 1, 3, 3, 2, 1, 4, 0, 1, 3, 4, 0, 3, 3, 3, 3, 1, 1, 4, 2, 3, 2, 0, 1, 1, 1, 4, 2, 2, 2, 4, 4, 2, 1, 4, 4, 1, 4, 3, 1, 4, 3, 1, 3, 0, 0, 0, 0, 2, 0, 3, 2, 1, 2, 0, 0, 2, 3, 0, 2, 2, 4, 0, 3, 1, 2, 0, 4, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 0, 4, 4, 1, 4, 1, 3, 0, 3, 0, 2, 0, 3, 0, 4, 4, 4, 2, 4, 4, 4, 1, 0, 2, 2, 2, 1, 3, 0, 3, 0, 1, 2, 4, 2, 1, 4, 0, 0, 0, 4, 0, 3, 0, 2, 4, 3, 2, 2, 2, 3, 4, 0, 2, 4, 3, 4, 2, 0, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 0, 1, 4, 1, 2, 2, 4, 0, 3, 0, 3, 2, 0, 2, 2, 3, 2, 2, 1, 2, 3, 4, 3, 2, 1, 2, 0, 4, 2, 0, 1, 0, 2, 2, 4, 2, 1, 2, 1, 1, 3, 4, 0, 4, 3, 2, 4, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 4, 3, 2, 3, 2, 0, 0, 4, 4, 0, 3, 4, 2, 0, 2, 4, 1, 2, 1, 0, 4, 3, 3, 4, 3, 0, 1, 4, 4, 3, 0, 0, 4, 0, 1, 4, 0, 3, 2, 4, 1, 3, 0, 2, 0, 1, 1, 3, 2, 0, 3, 1, 1, 4, 0, 1, 0, 2, 4, 0, 2, 1, 4, 3, 2, 3, 4, 2, 3, 3, 2, 3, 2, 0, 2, 1, 4, 3, 2, 0, 3, 2, 4, 2, 0, 3, 2, 0, 2, 4, 2, 4, 1, 1, 4, 2, 2, 4, 1, 1, 2, 3, 2, 0, 4, 1, 4, 4, 0, 3, 4, 0, 4, 2, 0, 4, 3, 4, 3, 3, 3, 1, 0, 1, 0, 2, 4, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 4, 0, 1, 2, 1, 4, 4, 4, 2, 0, 3, 4, 0, 2, 3, 0, 3, 3, 1, 0, 2, 4, 4, 4, 2, 3, 2, 2, 0, 2, 3, 3, 3, 2]
pubkeycol1163 = [3, 4, 2, 1, 3, 2, 0, 4, 1, 2, 2, 3, 3, 4, 1, 2, 0, 2, 3, 4, 2, 3, 3, 3, 4, 0, 4, 2, 2, 0, 4, 3, 4, 1, 4, 2, 4, 4, 1, 2, 4, 1, 3, 0, 0, 3, 4, 0, 0, 2, 3, 1, 4, 3, 4, 3, 2, 2, 0, 1, 3, 4, 4, 3, 0, 1, 2, 1, 3, 1, 2, 3, 2, 0, 1, 2, 4, 0, 1, 0, 0, 0, 4, 2, 4, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 2, 3, 2, 0, 1, 1, 3, 0, 1, 4, 0, 0, 3, 1, 3, 0, 4, 3, 1, 2, 2, 1, 0, 0, 4, 4, 4, 1, 1, 0, 0, 0, 2, 2, 3, 2, 2, 1, 0, 4, 1, 0, 0, 1, 4, 1, 4, 1, 3, 4, 2, 1, 0, 3, 2, 4, 1, 4, 2, 3, 0, 0, 3, 2, 1, 3, 0, 1, 4, 3, 2, 3, 0, 3, 2, 1, 2, 3, 3, 0, 3, 1, 3, 4, 1, 4, 1, 2, 2, 4, 4, 3, 3, 0, 0, 4, 3, 1, 4, 1, 4, 2, 3, 1, 0, 4, 4, 3, 3, 1, 3, 2, 0, 0, 2, 3, 2, 1, 4, 4, 4, 0, 3, 4, 3, 4, 2, 2, 2, 1, 4, 1, 3, 4, 3, 4, 1, 1, 3, 2, 4, 3, 0, 4, 0, 4, 3, 3, 0, 3, 3, 2, 4, 3, 2, 1, 2, 1, 2, 4, 1, 4, 0, 0, 4, 3, 1, 0, 2, 2, 4, 1, 1, 3, 1, 4, 2, 1, 3, 0, 1, 0, 0, 3, 2, 0, 4, 2, 1, 3, 1, 4, 0, 1, 2, 4, 0, 0, 2, 4, 0, 1, 1, 2, 4, 4, 3, 0, 3, 2, 3, 1, 1, 2, 3, 4, 3, 4, 3, 0, 1, 4, 0, 2, 3, 4, 1, 1, 3, 2, 0, 4, 3, 1, 0, 2, 2, 2, 4, 0, 4, 2, 4, 2, 3, 0, 4, 3, 4, 1, 2, 4, 3, 1, 0, 2, 3, 4, 3, 3, 1, 0, 4, 4, 1, 0, 4, 4, 4, 0, 2, 3, 2, 4, 3, 1, 4, 2, 1, 4, 2, 0, 2, 0, 2, 3, 2, 2, 0, 2, 2, 2, 3, 1, 3, 2, 3, 2, 1, 3, 0, 3, 0, 0, 1]
pubkeycol1164 = [1, 2, 2, 4, 2, 2, 2, 0, 0, 4, 4, 1, 1, 3, 0, 4, 0, 0, 2, 0, 0, 4, 4, 2, 4, 1, 0, 0, 3, 0, 0, 0, 2, 3, 1, 0, 3, 4, 4, 1, 0, 2, 0, 3, 0, 0, 1, 4, 0, 1, 4, 2, 0, 4, 0, 2, 4, 3, 2, 1, 4, 1, 0, 4, 3, 4, 2, 0, 4, 2, 1, 1, 4, 0, 2, 0, 2, 2, 1, 2, 2, 3, 4, 0, 3, 4, 0, 0, 2, 3, 1, 2, 4, 3, 0, 4, 2, 4, 0, 4, 0, 3, 4, 2, 4, 4, 1, 2, 0, 3, 0, 0, 0, 4, 2, 2, 0, 3, 2, 3, 2, 4, 3, 0, 4, 0, 4, 4, 3, 0, 0, 3, 1, 3, 4, 2, 0, 2, 0, 1, 3, 2, 0, 2, 2, 3, 1, 4, 2, 2, 1, 2, 2, 2, 2, 4, 0, 2, 4, 0, 0, 0, 1, 4, 2, 4, 3, 3, 4, 1, 4, 0, 3, 1, 2, 0, 4, 0, 0, 1, 2, 3, 2, 0, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 0, 3, 0, 0, 1, 2, 0, 2, 3, 0, 4, 1, 4, 3, 3, 3, 0, 3, 1, 0, 2, 2, 2, 3, 1, 1, 4, 2, 3, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 4, 1, 0, 2, 0, 3, 1, 2, 0, 3, 0, 3, 4, 1, 2, 2, 3, 2, 2, 4, 4, 2, 3, 0, 4, 4, 1, 1, 0, 0, 3, 4, 0, 4, 0, 4, 0, 3, 3, 4, 0, 3, 3, 3, 3, 3, 2, 0, 3, 4, 1, 2, 1, 2, 0, 4, 3, 3, 2, 3, 4, 4, 4, 3, 2, 0, 3, 2, 3, 0, 4, 4, 1, 4, 0, 2, 4, 1, 0, 4, 2, 4, 4, 2, 1, 1, 0, 2, 1, 0, 1, 3, 4, 4, 3, 3, 4, 0, 4, 0, 2, 4, 4, 0, 1, 3, 3, 2, 4, 1, 4, 1, 0, 3, 3, 1, 3, 0, 4, 1, 4, 0, 4, 1, 4, 1, 2, 2, 4, 2, 4, 4, 2, 3, 1, 1, 2, 2, 0, 4, 0, 2, 1, 1, 4, 3, 0, 1, 3, 3, 0, 0, 2, 3, 1, 1, 2, 0, 3, 1, 3, 2, 1]
pubkeycol1165 = [1, 4, 3, 4, 3, 3, 1, 1, 3, 2, 4, 4, 1, 2, 3, 4, 4, 0, 3, 4, 3, 0, 1, 3, 4, 3, 0, 2, 1, 3, 3, 0, 0, 2, 3, 2, 0, 3, 2, 2, 3, 3, 2, 4, 4, 1, 0, 1, 0, 3, 0, 0, 4, 4, 4, 3, 0, 0, 1, 4, 0, 0, 4, 4, 0, 1, 0, 1, 3, 1, 3, 0, 0, 1, 4, 3, 3, 3, 2, 4, 3, 2, 1, 1, 2, 4, 3, 4, 1, 0, 3, 1, 3, 1, 1, 1, 2, 2, 4, 2, 4, 4, 0, 4, 4, 4, 3, 2, 2, 4, 4, 4, 2, 0, 0, 4, 0, 1, 3, 3, 3, 2, 1, 2, 3, 0, 4, 0, 4, 0, 2, 3, 1, 3, 0, 2, 1, 2, 2, 0, 1, 4, 3, 0, 1, 0, 0, 2, 4, 4, 3, 3, 0, 1, 3, 2, 1, 3, 0, 2, 2, 0, 0, 1, 2, 1, 1, 4, 2, 0, 2, 4, 0, 2, 4, 2, 2, 0, 0, 1, 2, 2, 4, 2, 1, 3, 3, 1, 0, 3, 2, 0, 2, 0, 4, 4, 0, 3, 0, 1, 2, 3, 2, 0, 4, 2, 0, 2, 2, 0, 1, 4, 3, 1, 2, 4, 0, 4, 4, 3, 0, 4, 3, 4, 3, 4, 0, 2, 3, 2, 2, 1, 1, 3, 3, 2, 3, 2, 1, 1, 3, 3, 0, 4, 1, 1, 0, 1, 4, 0, 2, 4, 3, 0, 1, 4, 1, 1, 0, 3, 0, 4, 0, 4, 3, 3, 4, 0, 2, 4, 2, 4, 0, 2, 3, 3, 0, 0, 2, 0, 0, 4, 2, 4, 2, 2, 0, 2, 2, 0, 0, 3, 0, 4, 0, 1, 4, 1, 3, 2, 0, 4, 2, 1, 1, 3, 1, 4, 2, 3, 3, 1, 4, 4, 0, 4, 1, 0, 0, 4, 3, 0, 1, 0, 3, 2, 3, 4, 4, 3, 0, 4, 1, 1, 2, 2, 1, 0, 3, 2, 4, 1, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 4, 1, 2, 3, 4, 0, 3, 2, 3, 2, 1, 1, 0, 3, 0, 2, 1, 0, 0, 2, 1, 3, 2, 3, 1, 0, 4, 4, 2, 1, 0, 3, 1, 0, 4, 4, 4, 1, 3, 4, 1, 4, 1, 3, 1, 1]
pubkeycol1166 = [3, 3, 0, 1, 0, 4, 4, 2, 1, 1, 3, 0, 1, 0, 1, 2, 0, 0, 0, 3, 1, 2, 1, 1, 3, 4, 1, 3, 3, 0, 4, 1, 1, 0, 3, 3, 3, 0, 0, 4, 1, 4, 3, 3, 2, 4, 2, 2, 4, 4, 2, 3, 2, 0, 4, 2, 4, 0, 1, 1, 0, 3, 1, 4, 2, 1, 0, 0, 2, 3, 1, 1, 3, 3, 1, 4, 0, 1, 3, 2, 2, 0, 3, 4, 0, 3, 1, 2, 0, 1, 3, 0, 0, 2, 0, 1, 4, 3, 4, 2, 2, 2, 2, 2, 2, 3, 4, 1, 3, 3, 4, 0, 3, 1, 1, 1, 2, 1, 0, 0, 4, 2, 2, 3, 2, 2, 3, 4, 1, 3, 3, 1, 3, 3, 3, 2, 4, 4, 4, 4, 0, 2, 3, 1, 3, 1, 0, 0, 0, 0, 3, 2, 0, 1, 1, 2, 1, 4, 0, 1, 0, 3, 2, 4, 4, 4, 4, 3, 3, 1, 1, 4, 4, 3, 2, 1, 3, 0, 0, 3, 1, 2, 4, 0, 2, 1, 2, 2, 4, 2, 0, 4, 2, 0, 2, 2, 1, 3, 0, 1, 0, 1, 1, 3, 2, 1, 1, 3, 4, 3, 0, 2, 4, 3, 1, 2, 3, 0, 4, 1, 3, 3, 3, 1, 3, 3, 1, 1, 0, 2, 0, 3, 4, 3, 1, 3, 3, 0, 3, 4, 1, 4, 0, 0, 3, 4, 4, 3, 2, 3, 3, 2, 0, 4, 2, 2, 3, 3, 0, 3, 0, 2, 4, 3, 2, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 3, 0, 3, 1, 2, 0, 1, 4, 2, 1, 2, 3, 4, 4, 3, 1, 0, 2, 0, 4, 0, 1, 3, 0, 0, 1, 2, 0, 4, 2, 0, 1, 4, 4, 3, 0, 2, 1, 3, 0, 0, 0, 1, 1, 0, 2, 3, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 3, 4, 2, 2, 4, 4, 3, 3, 3, 4, 1, 0, 1, 0, 4, 3, 0, 3, 4, 2, 0, 4, 3, 0, 1, 0, 4, 4, 1, 4, 4, 0, 1, 4, 0, 3, 4, 1, 2, 0, 4, 2, 1, 1, 0, 0, 4, 0, 2, 3, 1, 4, 3, 1, 1, 2, 2, 2, 4, 0, 1, 3, 3, 4, 3, 4]
pubkeycol1167 = [0, 4, 2, 0, 1, 3, 3, 1, 3, 0, 0, 4, 1, 0, 3, 2, 0, 2, 1, 4, 2, 2, 2, 0, 3, 2, 1, 1, 2, 3, 0, 1, 3, 2, 2, 0, 0, 3, 3, 3, 3, 4, 0, 0, 0, 4, 4, 0, 4, 1, 3, 1, 1, 0, 3, 1, 4, 3, 0, 4, 1, 2, 0, 0, 1, 0, 4, 4, 1, 3, 0, 1, 3, 0, 2, 4, 1, 3, 3, 4, 1, 3, 0, 0, 4, 1, 0, 3, 0, 0, 0, 3, 4, 3, 4, 1, 3, 0, 2, 0, 1, 4, 2, 3, 4, 4, 0, 0, 3, 4, 4, 2, 3, 3, 2, 3, 1, 1, 2, 2, 4, 2, 3, 3, 1, 4, 3, 0, 0, 1, 3, 4, 1, 1, 0, 4, 2, 4, 3, 1, 3, 2, 4, 3, 0, 4, 3, 4, 3, 4, 0, 1, 3, 1, 4, 3, 2, 4, 3, 4, 0, 2, 2, 3, 2, 1, 4, 3, 1, 3, 2, 4, 0, 2, 1, 3, 4, 1, 3, 0, 2, 0, 0, 3, 0, 2, 4, 2, 0, 3, 1, 4, 3, 2, 2, 3, 4, 4, 2, 4, 1, 4, 2, 0, 2, 4, 3, 2, 2, 2, 0, 1, 3, 0, 0, 2, 0, 0, 1, 4, 0, 0, 2, 0, 4, 3, 4, 0, 0, 0, 2, 3, 2, 2, 0, 4, 2, 0, 2, 4, 1, 1, 2, 0, 0, 1, 3, 2, 0, 4, 0, 0, 2, 0, 1, 0, 1, 2, 3, 3, 0, 0, 0, 3, 4, 4, 2, 3, 2, 2, 2, 2, 3, 3, 1, 0, 4, 0, 2, 3, 0, 3, 0, 4, 0, 0, 1, 0, 2, 3, 4, 2, 2, 0, 0, 1, 1, 4, 3, 2, 3, 2, 1, 3, 3, 0, 2, 2, 0, 3, 4, 3, 2, 4, 1, 3, 1, 3, 1, 3, 2, 2, 1, 1, 2, 2, 2, 0, 0, 3, 3, 4, 2, 4, 2, 3, 4, 0, 2, 0, 0, 4, 3, 3, 3, 4, 4, 1, 0, 2, 4, 0, 2, 3, 0, 1, 3, 0, 3, 0, 2, 2, 4, 1, 4, 3, 2, 0, 4, 0, 3, 3, 1, 1, 0, 3, 3, 1, 4, 2, 0, 2, 4, 3, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 4, 3, 0, 4, 3, 4]
pubkeycol1168 = [3, 4, 1, 1, 1, 2, 3, 4, 1, 1, 2, 2, 4, 2, 4, 2, 2, 2, 2, 2, 2, 1, 3, 4, 1, 2, 0, 4, 4, 2, 1, 3, 1, 1, 1, 1, 1, 0, 0, 3, 1, 4, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 3, 1, 3, 3, 3, 0, 2, 4, 0, 2, 1, 2, 2, 4, 1, 4, 4, 2, 2, 3, 4, 4, 3, 1, 1, 4, 3, 3, 4, 3, 1, 0, 1, 2, 0, 2, 3, 2, 1, 3, 2, 1, 4, 1, 1, 1, 2, 2, 1, 3, 3, 0, 2, 3, 3, 1, 4, 4, 0, 0, 3, 4, 1, 3, 4, 4, 1, 0, 2, 2, 3, 4, 4, 0, 1, 3, 4, 1, 1, 0, 0, 4, 1, 0, 4, 4, 3, 1, 2, 2, 4, 2, 2, 3, 1, 2, 2, 0, 0, 4, 1, 4, 1, 1, 0, 1, 3, 3, 1, 0, 2, 3, 0, 4, 4, 4, 4, 4, 1, 4, 3, 3, 3, 0, 2, 2, 1, 4, 1, 1, 4, 1, 2, 1, 2, 1, 3, 3, 0, 4, 3, 1, 0, 2, 2, 4, 1, 1, 2, 0, 1, 1, 2, 4, 2, 4, 0, 1, 2, 2, 1, 2, 1, 4, 1, 2, 0, 4, 2, 2, 3, 0, 2, 3, 1, 1, 0, 4, 3, 0, 0, 2, 3, 0, 1, 4, 0, 3, 1, 2, 4, 3, 4, 2, 2, 0, 4, 2, 1, 0, 0, 3, 3, 3, 1, 2, 3, 1, 2, 0, 2, 2, 3, 1, 0, 3, 3, 3, 1, 1, 2, 1, 1, 3, 1, 1, 3, 1, 1, 2, 2, 3, 1, 1, 1, 4, 1, 3, 1, 3, 0, 0, 1, 4, 3, 0, 1, 1, 3, 2, 3, 1, 4, 1, 2, 3, 0, 3, 1, 0, 4, 4, 4, 4, 3, 4, 1, 0, 3, 2, 1, 1, 4, 0, 1, 2, 3, 3, 1, 4, 4, 1, 2, 0, 3, 0, 2, 4, 4, 4, 0, 0, 4, 3, 2, 4, 2, 3, 1, 4, 1, 0, 3, 1, 0, 3, 3, 3, 0, 1, 3, 3, 2, 1, 3, 4, 3, 3, 3, 1, 1, 2, 0, 3, 1, 3, 2, 1, 0, 2, 0, 1, 2, 2, 2, 3, 0, 1, 1, 4, 1, 1, 0, 3, 3, 3, 4]
pubkeycol1169 = [1, 0, 3, 1, 4, 3, 4, 2, 1, 1, 2, 0, 4, 4, 3, 1, 4, 1, 0, 1, 4, 3, 1, 4, 1, 1, 4, 0, 1, 4, 4, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 0, 4, 3, 0, 3, 3, 2, 4, 1, 1, 2, 2, 2, 2, 3, 1, 1, 3, 4, 0, 4, 1, 1, 2, 1, 2, 1, 1, 4, 1, 2, 4, 4, 3, 3, 2, 3, 4, 4, 1, 0, 0, 2, 1, 0, 2, 3, 3, 3, 1, 3, 2, 4, 2, 4, 2, 4, 0, 2, 4, 4, 4, 2, 3, 0, 3, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 4, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 3, 2, 0, 3, 3, 1, 4, 3, 3, 4, 3, 4, 3, 2, 2, 2, 3, 1, 4, 4, 1, 3, 0, 0, 1, 2, 1, 0, 4, 0, 4, 4, 4, 2, 4, 0, 1, 2, 0, 1, 1, 3, 0, 3, 0, 4, 3, 0, 3, 2, 3, 4, 2, 3, 4, 1, 4, 1, 2, 2, 1, 3, 1, 4, 3, 1, 2, 3, 1, 3, 2, 4, 3, 2, 2, 4, 1, 2, 1, 1, 4, 2, 0, 4, 3, 1, 1, 1, 1, 0, 4, 2, 4, 0, 0, 1, 3, 3, 4, 1, 0, 3, 1, 4, 0, 1, 0, 2, 3, 3, 0, 4, 2, 4, 0, 3, 3, 3, 0, 3, 4, 4, 0, 0, 1, 2, 4, 0, 3, 3, 3, 0, 4, 3, 0, 3, 2, 4, 3, 0, 4, 0, 4, 4, 0, 3, 2, 1, 4, 1, 0, 1, 0, 4, 3, 2, 3, 1, 0, 0, 3, 0, 4, 2, 0, 3, 3, 4, 1, 3, 3, 1, 0, 2, 1, 3, 1, 3, 3, 4, 3, 0, 0, 3, 1, 4, 1, 3, 0, 0, 3, 4, 3, 1, 3, 2, 2, 0, 0, 0, 4, 3, 3, 3, 0, 2, 0, 3, 1, 2, 0, 0, 4, 1, 1, 3, 4, 3, 1, 0, 2, 0, 3, 3, 2, 0, 0, 0, 4, 0, 0, 4, 0, 4, 3, 1, 4, 2, 4, 1, 3, 0, 1, 1, 3, 0, 2, 1, 1, 0, 3, 0, 1, 4, 0, 1, 4, 4, 1, 3, 3, 4, 0, 2, 1, 1, 1, 2, 3, 1, 3]
pubkeycol1170 = [2, 0, 4, 0, 0, 4, 2, 1, 3, 4, 4, 0, 1, 4, 0, 0, 0, 0, 4, 1, 4, 2, 4, 1, 1, 2, 0, 3, 4, 4, 1, 3, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 4, 1, 2, 0, 0, 3, 1, 0, 0, 3, 2, 0, 3, 3, 0, 4, 2, 2, 2, 3, 3, 2, 4, 4, 1, 3, 2, 0, 4, 3, 4, 4, 3, 0, 4, 4, 2, 2, 2, 0, 3, 4, 3, 3, 3, 1, 1, 4, 2, 2, 0, 0, 3, 4, 2, 1, 4, 2, 0, 0, 0, 0, 4, 1, 0, 4, 2, 4, 4, 1, 3, 0, 4, 1, 2, 2, 2, 1, 1, 1, 3, 4, 3, 1, 0, 3, 4, 3, 0, 1, 1, 3, 4, 1, 0, 0, 2, 2, 3, 1, 3, 0, 4, 4, 1, 3, 2, 4, 0, 1, 2, 1, 1, 3, 4, 1, 2, 4, 4, 3, 2, 1, 3, 1, 3, 3, 3, 0, 4, 0, 3, 3, 1, 2, 0, 1, 2, 4, 2, 3, 1, 0, 2, 2, 1, 2, 0, 1, 2, 4, 0, 3, 1, 0, 4, 2, 1, 0, 3, 1, 4, 3, 3, 3, 1, 4, 4, 4, 0, 0, 1, 3, 2, 4, 1, 0, 4, 2, 1, 1, 4, 3, 2, 0, 2, 0, 3, 4, 4, 4, 0, 1, 0, 4, 4, 4, 1, 2, 2, 1, 1, 1, 4, 3, 0, 3, 1, 2, 2, 2, 3, 0, 3, 2, 0, 4, 1, 4, 3, 3, 3, 4, 4, 2, 3, 0, 4, 4, 0, 3, 2, 0, 3, 4, 0, 3, 0, 1, 0, 2, 3, 0, 2, 1, 3, 2, 3, 2, 4, 4, 3, 0, 1, 1, 3, 1, 1, 1, 4, 0, 0, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 4, 3, 0, 4, 2, 0, 1, 4, 3, 3, 4, 0, 1, 0, 1, 2, 1, 1, 3, 3, 4, 3, 1, 2, 0, 2, 1, 2, 1, 1, 3, 2, 0, 1, 1, 3, 3, 0, 3, 4, 0, 1, 2, 0, 0, 4, 1, 4, 2, 4, 4, 1, 1, 4, 2, 3, 4, 2, 1, 4, 4, 2, 0, 1, 3, 4, 3, 1, 3, 0, 0, 1, 1, 4, 0, 3, 0, 0, 0, 4, 0, 2, 0, 1, 2, 0]
pubkeycol1171 = [3, 1, 1, 0, 4, 4, 1, 0, 2, 3, 3, 4, 4, 1, 2, 4, 1, 1, 3, 2, 1, 1, 4, 3, 3, 2, 4, 4, 4, 2, 2, 4, 3, 0, 4, 3, 1, 4, 2, 0, 0, 0, 4, 4, 3, 1, 0, 2, 4, 4, 2, 4, 3, 3, 1, 4, 2, 2, 3, 3, 0, 0, 3, 0, 3, 3, 0, 4, 4, 2, 2, 2, 4, 3, 4, 1, 3, 4, 2, 3, 3, 3, 0, 1, 3, 1, 0, 1, 0, 1, 2, 3, 2, 3, 4, 0, 4, 1, 2, 2, 0, 2, 1, 4, 0, 0, 2, 3, 4, 1, 1, 0, 2, 1, 2, 1, 0, 3, 4, 3, 0, 1, 0, 3, 1, 1, 2, 4, 4, 4, 2, 3, 2, 2, 3, 0, 4, 2, 3, 0, 2, 4, 3, 3, 3, 0, 2, 0, 1, 4, 2, 0, 2, 4, 3, 4, 1, 0, 1, 1, 0, 2, 3, 0, 3, 1, 4, 4, 1, 0, 4, 2, 4, 0, 3, 3, 0, 3, 0, 1, 4, 2, 4, 1, 4, 3, 3, 2, 2, 1, 2, 2, 4, 4, 2, 2, 1, 4, 0, 1, 3, 0, 0, 4, 4, 3, 1, 0, 2, 0, 0, 1, 3, 4, 2, 4, 4, 0, 4, 1, 3, 1, 0, 0, 4, 2, 4, 1, 1, 2, 3, 3, 2, 4, 1, 3, 1, 2, 2, 2, 2, 4, 2, 3, 1, 1, 4, 4, 1, 0, 0, 2, 3, 2, 3, 2, 2, 3, 2, 4, 3, 0, 3, 0, 3, 1, 2, 2, 0, 4, 2, 2, 4, 0, 4, 2, 2, 0, 1, 1, 3, 0, 2, 4, 0, 2, 2, 2, 2, 2, 4, 0, 3, 1, 2, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 0, 4, 3, 4, 3, 2, 0, 1, 1, 2, 0, 1, 3, 0, 3, 0, 1, 1, 3, 3, 0, 0, 0, 4, 0, 1, 4, 0, 3, 2, 0, 0, 0, 4, 3, 0, 4, 3, 4, 1, 2, 0, 3, 2, 4, 4, 4, 0, 2, 4, 3, 3, 1, 2, 0, 4, 4, 1, 1, 1, 3, 1, 0, 3, 1, 0, 2, 0, 2, 3, 1, 3, 1, 0, 1, 2, 1, 1, 3, 4, 4, 3, 4, 0, 4, 2, 2, 4, 2, 2, 1, 4, 4, 2, 0]
pubkeycol1172 = [3, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 4, 2, 1, 3, 0, 2, 4, 4, 1, 3, 4, 4, 2, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 3, 4, 0, 1, 1, 0, 4, 4, 2, 3, 1, 2, 3, 1, 3, 3, 4, 0, 2, 1, 1, 3, 3, 3, 4, 0, 1, 4, 1, 4, 2, 3, 3, 3, 2, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 1, 1, 4, 0, 1, 4, 4, 0, 4, 2, 0, 1, 1, 0, 0, 4, 4, 4, 1, 1, 0, 3, 4, 1, 3, 1, 1, 1, 1, 3, 3, 4, 1, 1, 1, 3, 0, 3, 4, 0, 4, 3, 3, 3, 0, 4, 1, 2, 4, 4, 1, 0, 2, 3, 3, 0, 4, 3, 2, 3, 0, 3, 0, 4, 3, 0, 4, 4, 0, 1, 2, 4, 2, 4, 3, 1, 2, 3, 2, 0, 0, 2, 4, 2, 1, 1, 2, 4, 4, 3, 4, 2, 3, 4, 3, 2, 2, 1, 3, 0, 4, 1, 3, 1, 0, 1, 1, 2, 1, 3, 3, 2, 1, 4, 0, 3, 4, 4, 2, 0, 1, 4, 3, 3, 3, 1, 3, 4, 1, 2, 4, 2, 4, 1, 3, 0, 2, 1, 1, 3, 4, 3, 4, 3, 0, 0, 1, 2, 3, 4, 3, 1, 1, 1, 3, 0, 2, 4, 0, 2, 0, 4, 3, 0, 1, 2, 3, 1, 1, 4, 1, 3, 1, 3, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 2, 1, 3, 4, 0, 4, 0, 2, 3, 2, 4, 0, 2, 4, 0, 2, 3, 1, 0, 2, 4, 0, 4, 2, 4, 2, 3, 3, 1, 1, 4, 0, 4, 4, 4, 1, 0, 3, 0, 2, 4, 0, 2, 2, 1, 1, 0, 4, 2, 0, 4, 0, 1, 4, 0, 0, 4, 4, 0, 2, 1, 0, 1, 2, 0, 0, 0, 4, 1, 4, 3, 0, 2, 3, 0, 0, 3, 3, 3, 2, 3, 2, 1, 2, 0, 0, 1, 0, 1, 3, 3, 2, 3, 1, 1, 2, 2, 1, 1, 1, 3, 0, 3, 4, 1, 1, 4, 1, 3, 3, 4, 4, 0, 4, 3, 1, 2, 1, 4, 1, 1, 1, 1, 4, 4, 3, 4, 0, 4, 4, 3, 3, 1, 3, 1, 4, 4]
pubkeycol1173 = [0, 0, 2, 0, 4, 1, 4, 1, 0, 4, 3, 2, 0, 4, 3, 0, 0, 2, 2, 4, 0, 0, 4, 3, 2, 4, 0, 0, 3, 0, 1, 0, 4, 0, 0, 4, 3, 2, 3, 4, 2, 0, 4, 3, 2, 3, 2, 1, 4, 0, 4, 0, 3, 0, 4, 0, 2, 3, 0, 0, 3, 4, 1, 1, 3, 0, 3, 2, 3, 4, 4, 3, 4, 1, 2, 3, 4, 0, 1, 0, 0, 1, 0, 0, 3, 3, 4, 0, 4, 2, 2, 1, 0, 2, 4, 0, 1, 3, 3, 3, 4, 4, 2, 4, 2, 3, 2, 1, 0, 1, 2, 4, 4, 3, 2, 0, 2, 4, 1, 3, 4, 0, 3, 0, 2, 1, 3, 1, 4, 2, 1, 1, 3, 0, 4, 3, 3, 4, 0, 0, 0, 0, 1, 3, 1, 1, 0, 0, 3, 4, 0, 3, 3, 4, 1, 0, 3, 3, 4, 1, 2, 1, 1, 0, 0, 2, 0, 1, 4, 3, 0, 4, 4, 4, 3, 0, 3, 1, 4, 1, 0, 1, 0, 3, 3, 1, 1, 0, 0, 3, 0, 2, 2, 1, 4, 3, 4, 1, 0, 3, 3, 1, 1, 2, 4, 2, 1, 1, 3, 4, 2, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 2, 4, 2, 4, 3, 0, 2, 0, 4, 4, 3, 0, 1, 1, 0, 2, 4, 3, 2, 2, 3, 1, 3, 2, 4, 1, 2, 0, 0, 2, 2, 3, 0, 4, 4, 0, 0, 2, 3, 4, 1, 2, 4, 1, 2, 3, 1, 2, 3, 0, 4, 0, 1, 4, 4, 3, 0, 2, 3, 2, 1, 3, 1, 1, 3, 2, 1, 0, 4, 2, 3, 4, 3, 0, 2, 0, 2, 1, 4, 2, 3, 0, 4, 4, 1, 0, 1, 0, 3, 2, 0, 0, 3, 0, 4, 4, 2, 4, 3, 2, 0, 4, 0, 0, 0, 3, 1, 2, 2, 2, 3, 3, 3, 4, 1, 2, 3, 4, 2, 2, 3, 0, 2, 1, 2, 3, 2, 0, 3, 4, 1, 1, 1, 3, 2, 3, 0, 0, 3, 0, 3, 1, 3, 4, 4, 3, 0, 3, 4, 4, 0, 2, 2, 2, 3, 4, 2, 2, 3, 3, 0, 1, 3, 3, 4, 3, 2, 3, 4, 4, 2, 3, 3, 1, 3, 1, 1, 1, 2]
pubkeycol1174 = [2, 2, 2, 0, 0, 3, 3, 1, 0, 2, 1, 1, 2, 3, 4, 2, 1, 4, 4, 0, 2, 0, 4, 3, 4, 1, 0, 0, 4, 2, 1, 1, 3, 2, 4, 0, 2, 3, 3, 2, 2, 2, 3, 0, 1, 3, 4, 3, 3, 4, 2, 4, 4, 3, 0, 1, 2, 2, 3, 0, 0, 3, 4, 1, 4, 4, 3, 2, 4, 0, 4, 4, 2, 2, 1, 4, 0, 2, 0, 1, 3, 0, 1, 0, 3, 1, 2, 4, 1, 3, 4, 3, 0, 0, 2, 0, 1, 3, 3, 4, 0, 2, 4, 4, 4, 3, 1, 4, 1, 0, 1, 2, 2, 3, 2, 0, 3, 4, 3, 3, 3, 4, 1, 2, 4, 2, 0, 0, 2, 2, 3, 2, 1, 4, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 3, 0, 3, 1, 3, 1, 2, 3, 1, 0, 0, 0, 4, 3, 3, 4, 0, 1, 1, 3, 0, 1, 4, 0, 3, 0, 3, 3, 1, 1, 4, 2, 4, 1, 3, 3, 3, 1, 1, 1, 2, 2, 0, 2, 1, 3, 0, 0, 4, 0, 3, 4, 4, 3, 2, 4, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 4, 1, 4, 4, 2, 2, 0, 2, 0, 4, 0, 3, 0, 2, 3, 4, 0, 4, 4, 2, 3, 4, 0, 4, 2, 4, 2, 1, 4, 1, 1, 2, 4, 2, 4, 2, 4, 3, 1, 3, 0, 2, 3, 0, 4, 1, 3, 3, 0, 1, 2, 2, 1, 1, 2, 4, 1, 2, 2, 3, 0, 4, 0, 4, 0, 0, 1, 3, 3, 3, 3, 3, 4, 2, 0, 4, 1, 0, 0, 2, 0, 0, 3, 3, 1, 3, 1, 1, 2, 3, 1, 3, 4, 1, 2, 3, 4, 0, 1, 3, 4, 0, 4, 1, 0, 1, 0, 1, 0, 4, 0, 4, 1, 3, 0, 2, 2, 0, 2, 4, 0, 2, 1, 3, 4, 3, 4, 1, 3, 3, 4, 2, 2, 4, 3, 2, 3, 4, 3, 3, 1, 0, 1, 2, 2, 4, 0, 2, 4, 2, 1, 3, 0, 4, 0, 1, 0, 0, 1, 4, 0, 0, 0, 0, 3, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 2, 2, 4, 0, 1, 0, 4, 0, 0]
pubkeycol1175 = [0, 0, 1, 3, 3, 4, 4, 1, 3, 3, 3, 4, 1, 4, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 4, 4, 4, 4, 2, 4, 1, 1, 3, 1, 3, 0, 2, 0, 0, 1, 4, 1, 3, 0, 2, 4, 1, 0, 0, 0, 0, 3, 4, 1, 4, 3, 4, 1, 1, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 2, 0, 1, 3, 4, 3, 3, 1, 0, 1, 4, 3, 2, 0, 0, 4, 2, 1, 0, 3, 4, 1, 2, 4, 0, 3, 0, 1, 2, 3, 2, 1, 0, 3, 1, 3, 0, 1, 4, 2, 0, 3, 1, 1, 0, 1, 3, 4, 2, 2, 3, 0, 1, 2, 2, 3, 0, 2, 1, 1, 0, 1, 2, 2, 3, 0, 0, 3, 3, 4, 3, 3, 4, 1, 0, 1, 2, 2, 2, 2, 4, 1, 4, 3, 3, 1, 0, 3, 0, 1, 2, 1, 0, 4, 1, 3, 4, 2, 3, 0, 2, 1, 0, 4, 3, 4, 2, 0, 3, 0, 0, 1, 4, 3, 0, 4, 1, 0, 1, 1, 0, 1, 0, 3, 3, 4, 1, 1, 4, 3, 3, 4, 4, 3, 4, 4, 4, 0, 3, 0, 1, 0, 4, 3, 2, 2, 4, 1, 1, 1, 0, 1, 2, 1, 4, 1, 3, 0, 2, 2, 1, 3, 4, 3, 2, 4, 2, 1, 2, 1, 0, 0, 1, 3, 4, 4, 0, 1, 1, 0, 1, 4, 0, 3, 2, 0, 2, 4, 0, 2, 2, 1, 2, 3, 1, 0, 4, 4, 1, 4, 3, 2, 4, 3, 0, 4, 2, 0, 2, 4, 3, 4, 4, 3, 2, 3, 0, 4, 0, 4, 0, 4, 0, 3, 1, 3, 3, 3, 0, 3, 2, 4, 1, 4, 1, 2, 2, 4, 3, 2, 4, 1, 4, 2, 4, 0, 4, 1, 1, 1, 3, 1, 3, 4, 4, 4, 1, 2, 4, 2, 4, 0, 4, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 3, 0, 2, 2, 1, 3, 3, 4, 2, 3, 0, 4, 2, 3, 3, 3, 1, 0, 4, 4, 4, 0, 0, 3, 0, 1, 1, 3, 4, 4, 1, 4, 3, 0, 4, 0, 0, 2, 1, 3, 0, 2, 1, 0, 4, 0, 0, 3, 3, 2, 2]
pubkeycol1176 = [1, 3, 3, 0, 4, 4, 3, 0, 1, 0, 4, 4, 3, 4, 0, 2, 3, 2, 1, 3, 2, 3, 1, 3, 0, 1, 3, 1, 0, 2, 1, 4, 0, 0, 4, 0, 3, 3, 0, 0, 2, 3, 1, 2, 0, 3, 4, 1, 2, 0, 0, 1, 4, 0, 2, 2, 4, 0, 4, 4, 1, 3, 4, 3, 0, 1, 4, 1, 2, 2, 1, 4, 0, 2, 4, 1, 1, 2, 4, 4, 0, 3, 2, 1, 3, 4, 4, 4, 2, 2, 4, 0, 0, 1, 4, 1, 0, 2, 4, 2, 2, 1, 0, 3, 4, 2, 4, 1, 1, 1, 0, 0, 1, 3, 0, 1, 4, 0, 0, 4, 0, 4, 2, 4, 1, 4, 1, 2, 3, 0, 3, 0, 1, 2, 4, 1, 4, 3, 4, 0, 1, 2, 2, 0, 0, 4, 4, 4, 1, 1, 2, 4, 3, 2, 2, 4, 0, 3, 2, 2, 3, 2, 3, 4, 3, 4, 0, 1, 1, 3, 2, 0, 2, 4, 3, 1, 0, 4, 3, 4, 1, 4, 0, 2, 3, 0, 4, 0, 3, 2, 4, 1, 0, 1, 3, 1, 4, 0, 4, 0, 0, 3, 2, 4, 2, 4, 0, 2, 1, 1, 4, 3, 4, 0, 3, 0, 0, 1, 0, 1, 3, 1, 0, 3, 1, 1, 1, 1, 2, 0, 0, 3, 0, 4, 1, 3, 2, 4, 0, 0, 4, 0, 1, 1, 2, 3, 4, 3, 0, 1, 0, 4, 2, 3, 0, 0, 0, 4, 2, 3, 1, 4, 0, 1, 1, 1, 4, 0, 3, 4, 2, 1, 3, 4, 0, 4, 1, 3, 3, 4, 3, 3, 3, 2, 4, 4, 1, 2, 4, 3, 3, 3, 4, 1, 4, 3, 3, 3, 1, 1, 0, 4, 2, 4, 2, 2, 3, 1, 3, 4, 2, 2, 1, 1, 2, 2, 2, 0, 4, 2, 3, 4, 3, 1, 2, 4, 0, 3, 3, 3, 2, 3, 0, 3, 1, 0, 0, 0, 3, 2, 3, 1, 0, 0, 2, 2, 0, 3, 4, 1, 2, 2, 4, 3, 4, 2, 3, 4, 4, 2, 2, 1, 3, 2, 1, 0, 2, 1, 0, 4, 3, 0, 1, 1, 3, 1, 2, 4, 0, 0, 4, 1, 2, 0, 1, 3, 0, 2, 2, 4, 4, 0, 1, 3, 2, 1, 1, 2, 4, 4]
pubkeycol1177 = [0, 2, 3, 1, 0, 3, 0, 4, 4, 1, 4, 2, 2, 1, 2, 1, 2, 3, 1, 0, 1, 2, 1, 4, 3, 1, 4, 4, 1, 2, 2, 1, 2, 3, 2, 4, 4, 3, 3, 4, 0, 3, 4, 0, 2, 2, 4, 3, 3, 1, 2, 1, 0, 0, 2, 0, 2, 3, 0, 0, 0, 4, 1, 2, 2, 0, 3, 1, 3, 3, 2, 4, 2, 0, 4, 0, 0, 4, 4, 3, 4, 1, 0, 3, 4, 1, 1, 3, 3, 4, 4, 2, 1, 4, 0, 4, 2, 3, 1, 3, 3, 1, 4, 0, 3, 1, 0, 1, 3, 0, 0, 2, 2, 4, 4, 0, 2, 0, 4, 2, 3, 1, 4, 3, 0, 1, 1, 2, 0, 3, 2, 0, 0, 4, 1, 3, 0, 3, 1, 4, 1, 1, 3, 3, 0, 2, 0, 0, 4, 0, 4, 1, 1, 2, 3, 0, 3, 1, 2, 1, 2, 1, 3, 3, 3, 4, 1, 4, 4, 4, 1, 0, 2, 2, 3, 4, 0, 1, 3, 1, 4, 4, 1, 4, 4, 1, 2, 4, 2, 3, 2, 3, 3, 2, 3, 4, 0, 3, 2, 2, 2, 0, 2, 4, 4, 2, 2, 2, 3, 2, 2, 1, 0, 0, 4, 4, 4, 4, 3, 3, 2, 0, 3, 3, 4, 3, 3, 1, 3, 1, 3, 1, 2, 0, 4, 3, 1, 0, 2, 3, 4, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 2, 3, 4, 0, 4, 4, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 3, 2, 2, 4, 0, 1, 3, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 1, 4, 3, 0, 3, 3, 0, 3, 4, 3, 2, 2, 2, 3, 3, 0, 0, 0, 3, 1, 4, 0, 0, 0, 3, 2, 2, 4, 0, 1, 1, 4, 3, 4, 2, 0, 1, 3, 3, 3, 3, 1, 1, 2, 4, 3, 2, 3, 1, 2, 1, 4, 0, 0, 0, 4, 1, 0, 3, 4, 2, 1, 2, 1, 2, 1, 0, 4, 3, 0, 1, 3, 0, 0, 2, 4, 4, 1, 4, 2, 4, 3, 0, 3, 4, 2, 1, 0, 1, 4, 2, 3, 2, 3, 4, 4, 1, 0, 3, 0, 1, 2, 1, 4, 4, 4, 2, 1, 0, 3, 1, 3, 1, 0, 0, 4]
pubkeycol1178 = [1, 0, 0, 4, 0, 0, 0, 2, 1, 4, 1, 0, 3, 3, 0, 2, 0, 1, 0, 2, 0, 0, 3, 0, 4, 1, 3, 0, 2, 2, 0, 4, 3, 1, 2, 0, 0, 2, 3, 4, 1, 0, 3, 1, 0, 2, 1, 2, 3, 2, 1, 1, 3, 0, 0, 0, 1, 2, 0, 0, 0, 3, 0, 4, 3, 3, 0, 1, 3, 4, 0, 4, 2, 3, 3, 1, 2, 3, 1, 4, 3, 0, 2, 2, 1, 0, 3, 0, 1, 2, 1, 3, 4, 4, 3, 1, 1, 0, 4, 2, 1, 4, 4, 4, 4, 0, 0, 4, 2, 4, 3, 1, 0, 2, 3, 3, 3, 1, 4, 1, 4, 3, 1, 2, 0, 0, 1, 3, 0, 1, 3, 3, 0, 3, 4, 1, 0, 4, 4, 1, 1, 0, 0, 0, 3, 4, 3, 4, 0, 4, 3, 1, 0, 4, 3, 2, 1, 0, 2, 2, 1, 0, 4, 2, 3, 0, 3, 1, 1, 2, 3, 4, 3, 4, 3, 3, 3, 4, 2, 4, 1, 4, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 4, 4, 1, 4, 2, 3, 4, 3, 1, 2, 0, 2, 1, 3, 1, 3, 0, 2, 4, 3, 3, 3, 3, 1, 1, 2, 2, 2, 0, 2, 4, 2, 1, 2, 0, 4, 2, 0, 4, 4, 0, 3, 4, 4, 2, 4, 4, 2, 1, 4, 0, 4, 2, 4, 4, 0, 0, 2, 2, 4, 2, 2, 3, 4, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 3, 2, 4, 2, 2, 0, 2, 3, 2, 2, 4, 4, 3, 0, 4, 1, 2, 4, 3, 1, 1, 2, 3, 4, 3, 3, 4, 0, 3, 3, 1, 2, 2, 1, 0, 3, 4, 4, 4, 4, 4, 0, 0, 3, 2, 3, 0, 2, 2, 0, 0, 3, 1, 2, 1, 4, 1, 2, 4, 3, 4, 3, 2, 3, 0, 2, 3, 0, 3, 2, 4, 0, 2, 1, 3, 1, 0, 3, 1, 0, 4, 1, 2, 4, 1, 2, 4, 2, 3, 2, 2, 3, 4, 0, 0, 3, 3, 3, 0, 3, 1, 4, 1, 4, 4, 3, 0, 2, 1, 2, 3, 0, 4, 1, 4, 1, 4, 0, 3, 2, 0, 2, 0, 4, 0, 2, 2, 1, 4, 0, 2, 0, 1]
pubkeycol1179 = [1, 3, 4, 3, 3, 0, 3, 3, 3, 1, 2, 3, 0, 3, 0, 1, 2, 2, 1, 4, 1, 2, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 4, 2, 4, 0, 3, 3, 0, 1, 2, 0, 2, 2, 4, 0, 3, 0, 0, 3, 4, 3, 3, 3, 2, 3, 1, 3, 0, 4, 3, 2, 4, 0, 4, 3, 1, 0, 2, 0, 1, 2, 1, 4, 2, 0, 2, 3, 4, 1, 4, 4, 4, 0, 0, 4, 2, 4, 0, 3, 4, 1, 1, 3, 0, 0, 0, 4, 4, 4, 0, 0, 1, 4, 1, 0, 3, 1, 2, 4, 3, 4, 2, 2, 3, 1, 3, 2, 0, 3, 3, 2, 2, 4, 2, 3, 3, 3, 2, 1, 4, 1, 0, 1, 1, 1, 3, 3, 2, 3, 4, 2, 4, 1, 1, 3, 2, 2, 1, 0, 1, 0, 1, 1, 4, 4, 1, 4, 1, 0, 3, 3, 4, 2, 2, 2, 0, 4, 4, 2, 4, 2, 1, 4, 4, 4, 0, 2, 4, 2, 3, 1, 0, 0, 0, 0, 1, 2, 3, 3, 2, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 3, 1, 1, 0, 2, 1, 0, 1, 2, 2, 3, 2, 1, 2, 0, 2, 1, 1, 2, 3, 3, 1, 3, 1, 0, 0, 3, 0, 0, 3, 3, 4, 1, 1, 0, 1, 1, 0, 4, 2, 1, 1, 0, 1, 0, 3, 1, 1, 4, 2, 3, 3, 1, 0, 1, 4, 0, 3, 0, 2, 4, 4, 1, 0, 0, 4, 1, 1, 2, 3, 4, 4, 0, 4, 1, 2, 0, 0, 3, 1, 3, 1, 2, 4, 3, 4, 2, 1, 4, 0, 0, 3, 4, 2, 2, 0, 0, 0, 3, 4, 1, 1, 4, 2, 0, 2, 2, 1, 0, 2, 0, 3, 2, 1, 4, 4, 3, 3, 2, 4, 1, 1, 0, 2, 0, 1, 3, 0, 2, 4, 3, 1, 2, 3, 3, 2, 4, 1, 4, 2, 1, 3, 2, 3, 0, 2, 0, 4, 1, 4, 3, 2, 3, 0, 2, 0, 1, 0, 2, 2, 1, 4, 4, 2, 4, 3, 0, 2, 4, 2, 3, 1, 0, 2, 0, 4, 0, 2, 4, 1, 0, 4, 0, 2, 4, 2, 1, 4, 3, 0, 4, 0, 2, 3, 2, 3, 2, 2]
pubkeycol1180 = [4, 1, 1, 4, 2, 0, 3, 3, 0, 3, 0, 2, 1, 0, 0, 2, 3, 3, 4, 2, 0, 2, 0, 4, 4, 0, 2, 2, 4, 2, 3, 2, 0, 4, 1, 3, 0, 0, 3, 4, 1, 3, 4, 3, 3, 3, 0, 3, 1, 1, 3, 3, 2, 3, 2, 3, 4, 1, 3, 3, 4, 0, 4, 3, 3, 1, 4, 0, 2, 2, 2, 3, 1, 1, 1, 0, 4, 2, 4, 2, 0, 1, 3, 2, 1, 4, 4, 0, 0, 1, 4, 1, 0, 0, 3, 2, 2, 1, 1, 2, 4, 2, 3, 4, 4, 4, 3, 4, 4, 1, 3, 2, 1, 0, 2, 1, 0, 0, 1, 0, 3, 3, 4, 1, 4, 4, 2, 1, 3, 0, 0, 4, 3, 3, 2, 4, 2, 0, 4, 3, 1, 3, 0, 2, 1, 0, 4, 2, 4, 3, 2, 4, 1, 4, 4, 0, 3, 0, 0, 1, 0, 2, 2, 4, 2, 3, 2, 1, 3, 3, 3, 4, 3, 2, 1, 0, 1, 4, 1, 3, 1, 3, 0, 4, 4, 4, 0, 1, 2, 2, 1, 4, 3, 0, 4, 3, 0, 3, 4, 3, 4, 3, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 3, 1, 4, 2, 4, 1, 4, 2, 3, 2, 0, 0, 1, 1, 3, 3, 3, 4, 0, 3, 0, 3, 2, 4, 2, 4, 1, 2, 0, 2, 2, 0, 3, 4, 2, 3, 1, 2, 1, 3, 4, 1, 2, 2, 0, 4, 4, 3, 1, 4, 4, 4, 1, 3, 4, 1, 1, 0, 4, 2, 2, 1, 3, 3, 2, 1, 0, 3, 1, 4, 3, 2, 0, 3, 2, 4, 1, 4, 0, 3, 2, 2, 1, 0, 4, 4, 4, 2, 1, 3, 2, 4, 1, 1, 1, 2, 1, 2, 0, 1, 3, 4, 4, 2, 1, 1, 2, 4, 3, 4, 0, 3, 0, 2, 0, 0, 1, 1, 4, 3, 1, 1, 3, 2, 4, 0, 2, 4, 0, 1, 3, 4, 4, 0, 3, 1, 3, 3, 4, 3, 4, 0, 4, 2, 0, 2, 2, 2, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 0, 0, 3, 0, 3, 4, 2, 1, 1, 3, 1, 3, 4, 3, 1, 3, 4, 2, 2, 0, 4, 4, 3, 2, 1]
pubkeycol1181 = [0, 2, 0, 0, 1, 2, 2, 1, 4, 1, 3, 3, 0, 0, 4, 1, 2, 2, 4, 2, 4, 0, 0, 4, 4, 1, 3, 0, 2, 2, 0, 1, 3, 2, 3, 1, 1, 2, 0, 4, 3, 1, 3, 4, 2, 1, 4, 4, 4, 2, 3, 4, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 1, 1, 4, 4, 2, 1, 3, 1, 4, 1, 3, 1, 1, 3, 0, 3, 0, 0, 2, 3, 1, 2, 2, 0, 4, 0, 3, 1, 1, 2, 3, 1, 3, 4, 4, 1, 1, 2, 2, 1, 4, 1, 2, 1, 1, 0, 3, 0, 2, 4, 3, 4, 4, 1, 1, 3, 4, 3, 1, 3, 4, 1, 1, 3, 3, 4, 2, 1, 1, 4, 1, 3, 4, 2, 3, 0, 0, 2, 1, 1, 0, 1, 3, 2, 0, 4, 1, 4, 3, 4, 3, 1, 3, 0, 2, 2, 3, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 3, 3, 1, 4, 3, 1, 4, 0, 0, 1, 0, 1, 4, 0, 1, 2, 3, 1, 0, 2, 1, 3, 3, 2, 4, 2, 3, 0, 4, 1, 2, 4, 3, 1, 4, 2, 1, 0, 0, 0, 0, 2, 1, 1, 4, 1, 2, 2, 1, 0, 4, 1, 0, 4, 0, 0, 4, 4, 3, 1, 3, 3, 1, 0, 2, 2, 1, 2, 4, 1, 1, 0, 2, 2, 0, 2, 4, 2, 4, 0, 2, 1, 3, 1, 4, 2, 3, 0, 3, 3, 2, 4, 4, 2, 3, 2, 4, 2, 0, 0, 1, 0, 0, 2, 1, 2, 4, 4, 4, 0, 0, 3, 3, 3, 1, 4, 0, 4, 1, 1, 4, 4, 1, 1, 2, 2, 0, 4, 3, 1, 0, 3, 3, 3, 2, 0, 4, 4, 1, 0, 4, 2, 1, 1, 0, 3, 3, 2, 1, 1, 2, 2, 0, 1, 3, 1, 1, 2, 0, 0, 2, 2, 3, 2, 3, 3, 4, 2, 2, 4, 3, 1, 4, 3, 2, 2, 4, 4, 4, 3, 0, 3, 4, 2, 0, 0, 4, 3, 0, 2, 1, 0, 4, 2, 3, 2, 3, 0, 2, 4, 1, 2, 0, 2, 3, 2, 2, 0, 4, 1, 4, 2, 2, 4, 2, 2, 0, 2, 4, 3, 3, 3, 0, 4, 1, 0, 0, 0, 4]
pubkeycol1182 = [4, 4, 0, 2, 0, 2, 3, 1, 0, 3, 1, 3, 3, 1, 2, 2, 1, 0, 3, 3, 0, 3, 3, 4, 3, 4, 3, 3, 3, 2, 4, 0, 2, 4, 3, 1, 4, 4, 2, 2, 4, 1, 4, 3, 0, 2, 0, 4, 0, 1, 3, 0, 2, 4, 1, 0, 3, 3, 2, 3, 4, 0, 0, 3, 2, 1, 2, 0, 0, 2, 2, 3, 0, 4, 3, 4, 2, 1, 4, 3, 2, 3, 0, 2, 1, 0, 0, 2, 0, 4, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 3, 1, 0, 4, 1, 2, 1, 0, 3, 4, 0, 3, 0, 2, 0, 2, 1, 4, 1, 2, 4, 3, 3, 4, 3, 4, 4, 4, 4, 0, 4, 1, 4, 4, 3, 2, 2, 1, 1, 2, 1, 3, 1, 1, 4, 1, 4, 2, 2, 4, 3, 3, 2, 2, 4, 4, 2, 4, 0, 2, 3, 0, 3, 1, 2, 3, 2, 3, 4, 1, 4, 2, 1, 3, 4, 0, 2, 3, 0, 1, 0, 0, 2, 1, 4, 2, 4, 3, 2, 0, 2, 4, 4, 0, 4, 4, 2, 1, 3, 1, 2, 0, 1, 0, 2, 0, 3, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 4, 4, 0, 2, 2, 3, 1, 4, 0, 1, 1, 2, 1, 4, 4, 4, 1, 0, 4, 1, 3, 0, 3, 2, 2, 0, 0, 1, 4, 3, 3, 2, 3, 1, 0, 0, 1, 2, 4, 3, 0, 3, 2, 2, 3, 1, 2, 3, 2, 3, 1, 3, 2, 1, 2, 4, 2, 1, 2, 0, 3, 4, 3, 3, 1, 4, 0, 2, 0, 0, 1, 2, 4, 1, 3, 0, 1, 0, 0, 2, 1, 1, 4, 0, 1, 3, 0, 1, 2, 2, 3, 0, 0, 2, 3, 3, 2, 0, 2, 3, 1, 0, 3, 2, 1, 0, 4, 2, 3, 4, 1, 3, 1, 3, 3, 3, 0, 3, 3, 1, 3, 4, 2, 2, 0, 0, 2, 4, 3, 2, 4, 1, 2, 1, 1, 4, 4, 2, 2, 2, 3, 1, 4, 2, 0, 3, 0, 1, 2, 2, 0, 3, 1, 3, 1, 3, 3, 0, 0, 1, 3, 0, 3, 1, 3, 1, 0, 4, 0, 1, 1, 1, 0, 0, 3, 1, 3, 4, 4, 3, 3]
pubkeycol1183 = [2, 3, 4, 1, 2, 4, 0, 4, 0, 3, 3, 2, 3, 0, 4, 4, 4, 1, 4, 1, 3, 1, 4, 2, 0, 3, 4, 3, 2, 1, 0, 3, 2, 1, 4, 2, 3, 0, 4, 0, 0, 0, 3, 3, 0, 2, 4, 0, 3, 1, 3, 1, 3, 3, 2, 0, 1, 4, 1, 2, 1, 4, 4, 4, 0, 2, 2, 4, 3, 4, 2, 0, 0, 2, 1, 1, 4, 0, 3, 4, 2, 3, 1, 3, 0, 0, 2, 4, 1, 4, 0, 1, 0, 1, 0, 4, 2, 1, 2, 0, 0, 1, 1, 4, 4, 1, 2, 1, 0, 4, 0, 4, 2, 1, 0, 3, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 3, 2, 0, 3, 2, 2, 2, 1, 2, 0, 4, 4, 3, 1, 3, 2, 4, 1, 0, 1, 1, 1, 4, 1, 4, 3, 2, 1, 3, 1, 0, 0, 2, 3, 2, 1, 0, 2, 0, 4, 4, 0, 4, 1, 0, 4, 1, 0, 2, 0, 4, 3, 0, 3, 1, 0, 1, 1, 0, 2, 4, 1, 1, 4, 0, 4, 4, 4, 0, 2, 3, 1, 1, 1, 4, 3, 0, 3, 0, 2, 0, 2, 3, 0, 3, 0, 3, 4, 3, 1, 2, 1, 3, 0, 1, 2, 4, 3, 1, 1, 3, 3, 1, 1, 1, 4, 4, 3, 1, 1, 4, 2, 3, 2, 4, 2, 1, 1, 1, 2, 2, 4, 3, 2, 1, 4, 0, 2, 4, 0, 0, 1, 3, 3, 4, 4, 2, 1, 1, 1, 4, 1, 3, 3, 0, 3, 3, 0, 4, 2, 3, 0, 2, 4, 0, 0, 4, 0, 3, 1, 2, 0, 1, 3, 0, 1, 3, 2, 1, 3, 3, 0, 0, 3, 4, 2, 4, 0, 1, 0, 3, 2, 1, 0, 1, 4, 3, 2, 1, 1, 1, 2, 2, 3, 2, 1, 3, 4, 3, 2, 0, 4, 1, 3, 1, 3, 4, 1, 1, 2, 3, 0, 1, 0, 3, 2, 1, 1, 1, 1, 0, 1, 3, 0, 4, 2, 4, 1, 1, 1, 2, 4, 4, 1, 3, 2, 2, 4, 1, 0, 3, 3, 0, 3, 0, 0, 2, 4, 3, 3, 0, 4, 4, 3, 3, 4, 3, 4, 0, 2, 0, 0, 0, 4, 3, 4, 3, 1, 0, 0, 0, 4]
pubkeycol1184 = [0, 4, 4, 4, 1, 0, 1, 2, 0, 4, 1, 1, 1, 2, 2, 4, 1, 4, 4, 4, 0, 0, 2, 3, 1, 2, 0, 2, 4, 3, 2, 1, 0, 1, 0, 3, 2, 4, 3, 1, 4, 3, 0, 1, 2, 4, 2, 3, 1, 1, 0, 4, 1, 4, 4, 0, 3, 4, 4, 0, 0, 1, 2, 1, 0, 4, 0, 3, 1, 0, 3, 4, 0, 2, 3, 0, 2, 0, 1, 1, 0, 3, 0, 2, 0, 3, 1, 2, 0, 4, 0, 1, 1, 4, 4, 4, 2, 3, 3, 0, 2, 2, 3, 4, 1, 1, 1, 0, 4, 1, 1, 1, 1, 0, 3, 3, 3, 3, 0, 2, 3, 4, 3, 4, 1, 1, 4, 4, 4, 3, 3, 1, 2, 1, 4, 2, 4, 4, 1, 1, 4, 3, 2, 2, 3, 4, 4, 4, 1, 0, 0, 0, 4, 3, 1, 3, 2, 2, 4, 0, 2, 4, 1, 3, 0, 1, 0, 1, 4, 0, 3, 3, 0, 1, 2, 1, 2, 0, 2, 2, 2, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 2, 0, 4, 1, 3, 2, 3, 0, 1, 4, 2, 4, 2, 0, 2, 1, 1, 2, 2, 3, 3, 0, 2, 1, 3, 3, 3, 0, 4, 4, 1, 4, 2, 0, 1, 0, 3, 0, 3, 3, 0, 0, 4, 1, 0, 4, 2, 0, 0, 4, 3, 1, 3, 3, 0, 1, 0, 0, 4, 2, 2, 1, 4, 0, 3, 3, 1, 2, 0, 4, 3, 4, 2, 1, 2, 1, 4, 1, 0, 3, 4, 2, 0, 3, 0, 3, 4, 3, 0, 1, 0, 2, 2, 2, 2, 3, 2, 3, 4, 3, 0, 0, 4, 3, 1, 3, 0, 1, 0, 3, 0, 2, 0, 0, 0, 0, 0, 4, 4, 0, 3, 2, 4, 2, 4, 3, 3, 0, 2, 1, 0, 1, 1, 4, 4, 1, 2, 0, 3, 0, 0, 4, 1, 0, 2, 0, 3, 4, 1, 3, 2, 4, 1, 3, 4, 0, 3, 0, 4, 2, 0, 1, 0, 4, 4, 0, 3, 0, 3, 2, 1, 3, 4, 4, 3, 2, 1, 2, 4, 1, 2, 2, 2, 3, 1, 0, 0, 2, 2, 2, 3, 3, 4, 0, 3, 1, 3, 3, 1, 1, 2, 1, 4, 0, 3, 0, 0]
pubkeycol1185 = [1, 4, 0, 0, 1, 1, 2, 3, 0, 4, 3, 4, 2, 1, 1, 1, 2, 4, 1, 2, 1, 4, 3, 0, 0, 4, 1, 4, 4, 4, 1, 4, 4, 4, 4, 1, 3, 0, 2, 4, 4, 2, 4, 2, 1, 4, 3, 0, 4, 0, 0, 4, 0, 3, 1, 4, 3, 0, 1, 2, 4, 0, 4, 0, 0, 0, 4, 4, 1, 0, 2, 3, 4, 2, 3, 4, 2, 3, 2, 0, 0, 2, 4, 0, 4, 4, 2, 4, 0, 4, 0, 1, 0, 4, 1, 0, 2, 4, 2, 2, 4, 3, 4, 3, 0, 4, 4, 3, 4, 3, 0, 0, 0, 4, 2, 0, 0, 2, 0, 2, 0, 4, 0, 3, 0, 2, 3, 3, 1, 0, 3, 4, 1, 4, 0, 3, 0, 1, 3, 1, 0, 2, 2, 1, 0, 4, 1, 2, 1, 3, 0, 2, 3, 4, 3, 1, 3, 4, 0, 0, 3, 4, 2, 4, 1, 0, 3, 2, 1, 2, 3, 0, 0, 3, 2, 0, 4, 1, 3, 4, 3, 1, 1, 1, 0, 1, 4, 2, 1, 4, 4, 0, 0, 4, 4, 0, 4, 2, 0, 2, 1, 4, 0, 2, 4, 2, 0, 2, 2, 1, 4, 1, 2, 0, 4, 1, 1, 0, 1, 2, 0, 2, 4, 1, 1, 2, 3, 3, 4, 0, 4, 0, 0, 2, 0, 4, 2, 3, 3, 4, 1, 4, 1, 0, 1, 1, 4, 1, 0, 3, 0, 3, 3, 2, 4, 2, 4, 4, 0, 1, 0, 3, 3, 3, 4, 3, 1, 0, 2, 3, 2, 1, 1, 1, 1, 4, 2, 0, 4, 4, 1, 3, 0, 1, 2, 1, 2, 1, 4, 2, 1, 4, 2, 3, 2, 2, 0, 2, 0, 1, 3, 0, 2, 3, 4, 3, 3, 0, 4, 4, 3, 2, 3, 3, 3, 4, 0, 2, 0, 0, 2, 4, 1, 2, 4, 3, 2, 4, 2, 2, 4, 3, 1, 1, 1, 1, 2, 0, 3, 1, 3, 2, 3, 3, 3, 3, 1, 4, 4, 1, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 4, 3, 4, 4, 4, 4, 4, 4, 2, 0, 2, 2, 1, 1, 2, 2, 3, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 4, 2, 2, 0, 3, 4, 0, 4, 3, 4, 0, 2, 3]
pubkeycol1186 = [0, 0, 0, 1, 1, 3, 4, 0, 2, 3, 1, 3, 4, 4, 3, 3, 4, 0, 2, 2, 2, 3, 2, 4, 1, 3, 1, 2, 2, 0, 1, 4, 1, 1, 3, 2, 0, 4, 1, 4, 4, 2, 2, 1, 2, 4, 1, 2, 3, 1, 0, 1, 2, 4, 1, 4, 3, 1, 3, 1, 4, 4, 4, 1, 4, 0, 0, 3, 1, 3, 3, 4, 4, 0, 0, 0, 2, 4, 0, 1, 0, 4, 0, 4, 4, 1, 3, 1, 3, 1, 3, 1, 3, 4, 1, 4, 2, 3, 0, 4, 4, 1, 3, 4, 4, 4, 0, 4, 4, 0, 1, 2, 1, 0, 3, 1, 2, 4, 3, 0, 4, 1, 2, 1, 0, 1, 0, 4, 2, 0, 1, 4, 1, 4, 4, 4, 1, 3, 0, 4, 0, 0, 4, 3, 0, 3, 1, 2, 2, 1, 4, 4, 4, 0, 0, 4, 1, 4, 2, 1, 0, 2, 4, 3, 1, 0, 0, 1, 0, 3, 0, 4, 4, 2, 3, 2, 0, 4, 1, 1, 3, 2, 0, 1, 2, 2, 1, 4, 0, 4, 1, 3, 2, 1, 2, 1, 3, 3, 4, 4, 1, 2, 4, 2, 0, 4, 4, 4, 1, 4, 2, 2, 2, 2, 4, 0, 1, 1, 4, 1, 4, 4, 1, 2, 0, 3, 2, 1, 0, 1, 1, 2, 4, 2, 3, 4, 3, 0, 2, 1, 0, 0, 1, 4, 0, 0, 1, 4, 0, 0, 4, 3, 0, 3, 3, 4, 1, 4, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 3, 0, 1, 1, 0, 4, 2, 2, 4, 0, 1, 3, 2, 4, 0, 1, 1, 4, 3, 3, 1, 2, 2, 3, 3, 4, 2, 1, 2, 3, 3, 0, 4, 2, 4, 0, 1, 3, 2, 2, 1, 1, 4, 1, 0, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 1, 0, 2, 2, 0, 3, 3, 2, 1, 4, 3, 3, 3, 3, 2, 4, 4, 2, 0, 4, 3, 3, 0, 1, 3, 3, 3, 2, 2, 4, 0, 1, 2, 2, 4, 2, 4, 3, 4, 4, 3, 1, 0, 4, 4, 1, 4, 1, 3, 0, 0, 2, 0, 3, 2, 0, 2, 4, 3, 4, 2, 0, 2, 0, 3, 2, 3, 0, 2, 1, 2, 4, 0, 3, 0]
pubkeycol1187 = [1, 2, 3, 4, 4, 3, 1, 2, 3, 4, 4, 0, 2, 0, 0, 4, 4, 4, 2, 0, 4, 1, 1, 3, 0, 3, 1, 0, 0, 2, 2, 3, 0, 2, 2, 0, 1, 0, 3, 1, 1, 1, 1, 4, 3, 3, 4, 0, 4, 0, 4, 2, 2, 0, 3, 2, 3, 0, 1, 2, 2, 3, 1, 1, 0, 1, 3, 2, 1, 1, 2, 0, 3, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 3, 1, 0, 3, 3, 2, 0, 3, 4, 2, 1, 4, 3, 0, 4, 1, 4, 2, 2, 3, 1, 3, 1, 0, 1, 3, 0, 3, 3, 0, 0, 3, 2, 4, 4, 2, 3, 2, 4, 0, 0, 3, 4, 3, 0, 0, 3, 2, 1, 2, 2, 2, 2, 1, 3, 2, 0, 2, 2, 0, 3, 1, 3, 2, 4, 4, 0, 2, 4, 2, 1, 1, 4, 3, 4, 0, 2, 4, 2, 0, 0, 3, 3, 2, 2, 0, 0, 0, 2, 4, 2, 2, 2, 4, 0, 4, 4, 4, 1, 4, 1, 3, 2, 3, 4, 0, 4, 1, 2, 3, 3, 1, 3, 4, 2, 3, 4, 1, 0, 2, 0, 3, 2, 1, 1, 3, 2, 0, 0, 4, 0, 0, 4, 1, 0, 0, 1, 0, 2, 0, 1, 3, 2, 1, 4, 2, 0, 3, 3, 1, 0, 3, 4, 2, 0, 1, 2, 1, 2, 3, 1, 1, 2, 4, 2, 0, 4, 1, 2, 2, 1, 3, 0, 3, 3, 2, 4, 1, 2, 3, 3, 0, 0, 4, 1, 3, 0, 3, 0, 2, 0, 4, 2, 4, 0, 0, 2, 1, 4, 0, 2, 0, 2, 4, 2, 3, 4, 1, 1, 3, 0, 1, 2, 3, 4, 2, 1, 3, 2, 3, 4, 4, 1, 2, 4, 4, 0, 2, 2, 4, 3, 4, 0, 0, 4, 0, 4, 3, 0, 3, 4, 4, 1, 2, 1, 2, 4, 0, 3, 1, 3, 2, 1, 3, 4, 1, 1, 4, 4, 4, 2, 1, 1, 2, 0, 3, 2, 2, 2, 3, 1, 2, 3, 0, 3, 2, 4, 2, 2, 2, 4, 0, 0, 3, 3, 4, 4, 3, 0, 0, 3, 0, 3, 1, 1, 3, 0, 2, 0, 1, 2, 0, 0, 1, 1, 3, 4, 1, 4, 4, 4, 4, 2, 2, 4, 1, 4]
pubkeycol1188 = [4, 4, 0, 4, 3, 2, 0, 2, 4, 2, 1, 2, 0, 2, 4, 2, 4, 0, 1, 4, 3, 2, 3, 4, 1, 3, 1, 0, 1, 3, 3, 3, 3, 2, 4, 4, 3, 1, 2, 3, 3, 0, 0, 3, 4, 1, 1, 1, 0, 4, 4, 0, 4, 0, 3, 1, 1, 4, 1, 1, 2, 2, 2, 0, 1, 0, 0, 4, 1, 2, 0, 3, 2, 0, 3, 1, 0, 0, 3, 2, 0, 3, 2, 0, 4, 4, 2, 0, 3, 3, 0, 1, 4, 0, 2, 3, 0, 4, 1, 4, 0, 2, 0, 1, 0, 1, 4, 0, 3, 0, 4, 2, 1, 2, 2, 2, 4, 4, 3, 3, 1, 0, 4, 3, 1, 2, 2, 0, 3, 4, 3, 3, 0, 2, 4, 3, 1, 2, 3, 1, 3, 1, 0, 4, 4, 4, 4, 3, 0, 4, 1, 0, 4, 3, 4, 3, 0, 1, 0, 4, 2, 3, 3, 2, 3, 4, 1, 1, 4, 2, 1, 0, 4, 0, 0, 0, 2, 3, 3, 2, 2, 0, 0, 2, 3, 0, 4, 4, 3, 4, 4, 4, 4, 1, 0, 1, 4, 4, 3, 3, 0, 0, 2, 1, 3, 3, 0, 1, 4, 3, 1, 0, 3, 1, 3, 4, 1, 4, 3, 1, 3, 0, 0, 0, 4, 3, 3, 1, 2, 2, 0, 0, 0, 3, 3, 2, 3, 0, 3, 3, 4, 0, 3, 4, 4, 3, 1, 0, 2, 2, 0, 4, 2, 1, 2, 4, 1, 1, 0, 0, 3, 3, 4, 1, 0, 3, 1, 2, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 4, 3, 1, 2, 0, 1, 0, 0, 2, 0, 1, 4, 0, 3, 3, 0, 0, 0, 3, 3, 3, 2, 4, 2, 4, 2, 1, 4, 4, 0, 4, 4, 0, 3, 1, 0, 3, 3, 3, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 4, 2, 4, 4, 2, 1, 3, 1, 2, 2, 0, 4, 0, 3, 1, 0, 3, 4, 2, 3, 2, 0, 1, 4, 2, 1, 3, 0, 3, 1, 3, 3, 4, 0, 0, 3, 3, 1, 4, 0, 0, 2, 3, 3, 2, 2, 1, 4, 2, 0, 3, 3, 1, 3, 4, 3, 1, 2, 1, 3, 4, 2, 0, 0, 0, 1, 1, 3, 2, 1, 2, 3, 2]
pubkeycol1189 = [0, 1, 2, 2, 4, 0, 3, 2, 3, 2, 3, 1, 3, 0, 0, 3, 3, 2, 1, 2, 2, 3, 1, 4, 4, 3, 4, 4, 2, 1, 4, 0, 3, 0, 3, 4, 3, 1, 0, 2, 4, 0, 0, 1, 1, 1, 0, 1, 3, 2, 2, 3, 0, 3, 1, 4, 2, 0, 1, 0, 4, 1, 2, 1, 2, 3, 1, 1, 4, 2, 1, 0, 2, 3, 4, 0, 0, 4, 2, 2, 2, 2, 1, 3, 4, 4, 3, 4, 2, 1, 2, 2, 0, 3, 1, 3, 4, 1, 0, 1, 1, 2, 4, 3, 0, 1, 4, 1, 0, 4, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 0, 1, 3, 4, 4, 2, 4, 3, 4, 3, 4, 1, 0, 4, 3, 1, 1, 0, 1, 2, 2, 3, 3, 2, 0, 3, 4, 2, 3, 2, 1, 3, 0, 3, 0, 4, 0, 3, 4, 4, 2, 3, 1, 3, 1, 4, 1, 3, 2, 0, 0, 2, 3, 1, 3, 1, 2, 0, 2, 2, 1, 3, 0, 0, 1, 2, 4, 3, 4, 0, 3, 3, 1, 4, 4, 2, 3, 4, 1, 2, 0, 3, 0, 0, 3, 3, 4, 2, 4, 2, 4, 4, 0, 4, 4, 0, 2, 3, 4, 3, 3, 3, 1, 2, 1, 4, 3, 3, 0, 2, 2, 1, 1, 4, 4, 0, 0, 3, 0, 4, 1, 0, 4, 3, 1, 1, 2, 0, 3, 4, 1, 0, 2, 3, 1, 3, 0, 3, 1, 2, 0, 2, 4, 3, 0, 0, 3, 4, 2, 4, 4, 3, 2, 4, 2, 4, 2, 0, 2, 2, 4, 4, 3, 0, 1, 4, 3, 0, 3, 3, 4, 1, 0, 1, 0, 4, 2, 0, 4, 1, 1, 0, 4, 0, 0, 3, 4, 4, 0, 0, 3, 3, 3, 0, 4, 2, 4, 4, 2, 2, 2, 0, 0, 3, 2, 0, 3, 2, 3, 4, 2, 4, 4, 0, 0, 4, 0, 4, 4, 1, 3, 1, 2, 4, 2, 0, 3, 2, 0, 3, 2, 1, 2, 1, 0, 1, 2, 4, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 4, 0, 3, 3, 2, 3, 1, 4, 4, 3, 2, 0, 0, 3, 0, 4, 3, 2, 1, 4, 1, 4, 2, 0, 4, 2, 3, 3, 0, 0, 3]
pubkeycol1190 = [3, 1, 0, 3, 3, 2, 1, 0, 3, 2, 3, 4, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 3, 4, 2, 2, 3, 2, 0, 3, 0, 3, 1, 0, 4, 3, 2, 3, 4, 4, 0, 0, 4, 4, 2, 4, 4, 2, 1, 0, 0, 2, 0, 3, 0, 0, 4, 3, 1, 1, 2, 1, 2, 0, 3, 4, 3, 0, 2, 4, 4, 2, 1, 0, 4, 2, 0, 4, 3, 3, 2, 0, 4, 4, 0, 1, 0, 3, 1, 4, 1, 0, 1, 4, 1, 1, 2, 2, 1, 2, 0, 4, 0, 2, 3, 0, 1, 4, 2, 1, 2, 0, 4, 2, 2, 1, 0, 4, 4, 2, 4, 4, 4, 2, 0, 0, 3, 3, 4, 2, 2, 1, 3, 4, 2, 2, 0, 0, 4, 2, 4, 0, 1, 0, 2, 2, 3, 4, 0, 3, 3, 1, 1, 3, 3, 1, 0, 3, 1, 0, 1, 4, 2, 0, 3, 1, 1, 0, 1, 1, 2, 1, 3, 3, 2, 2, 0, 1, 1, 4, 1, 0, 0, 4, 2, 1, 1, 2, 1, 3, 1, 0, 1, 0, 2, 4, 3, 2, 4, 2, 1, 4, 3, 2, 4, 4, 2, 0, 3, 0, 2, 0, 3, 3, 4, 3, 0, 3, 0, 1, 3, 1, 4, 1, 0, 2, 0, 0, 0, 4, 0, 1, 4, 2, 0, 2, 1, 3, 2, 3, 1, 1, 4, 1, 0, 4, 0, 2, 3, 1, 3, 1, 0, 3, 4, 4, 4, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2, 3, 2, 1, 4, 0, 4, 1, 4, 4, 3, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 3, 1, 0, 0, 4, 3, 3, 0, 3, 2, 4, 3, 3, 4, 2, 1, 0, 3, 4, 2, 1, 1, 3, 3, 2, 3, 0, 4, 3, 4, 1, 0, 2, 1, 1, 0, 0, 1, 4, 1, 0, 3, 4, 0, 2, 3, 2, 2, 4, 3, 4, 1, 2, 3, 4, 3, 3, 1, 0, 3, 2, 1, 2, 2, 4, 4, 3, 3, 3, 0, 0, 2, 0, 3, 2, 4, 1, 4, 0, 2, 1, 0, 0, 2, 4, 1, 3, 0, 3, 4, 1, 3, 2, 4, 4, 1, 3, 2, 0, 0, 2, 0, 4, 1, 1, 3, 2, 0, 1]
pubkeycol1191 = [2, 4, 1, 3, 2, 4, 4, 0, 4, 1, 0, 3, 2, 1, 3, 2, 4, 0, 4, 0, 4, 4, 2, 0, 2, 0, 1, 0, 4, 0, 1, 2, 4, 0, 3, 1, 0, 2, 3, 1, 3, 3, 1, 0, 0, 2, 1, 2, 1, 3, 0, 2, 0, 0, 2, 4, 2, 3, 3, 0, 0, 3, 0, 1, 0, 1, 2, 3, 1, 1, 1, 4, 3, 1, 3, 1, 0, 0, 4, 4, 2, 4, 3, 4, 4, 2, 0, 4, 1, 4, 1, 1, 1, 0, 0, 4, 4, 4, 1, 3, 0, 3, 1, 3, 3, 2, 1, 2, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 1, 0, 3, 3, 1, 2, 0, 1, 3, 2, 1, 0, 3, 1, 4, 0, 2, 4, 2, 0, 1, 0, 4, 1, 3, 3, 4, 1, 2, 4, 2, 4, 4, 0, 1, 1, 0, 4, 0, 2, 0, 2, 3, 3, 0, 2, 3, 1, 4, 0, 1, 3, 1, 1, 4, 0, 0, 1, 1, 2, 2, 4, 3, 4, 0, 3, 2, 4, 1, 2, 4, 4, 1, 1, 1, 2, 2, 0, 3, 3, 2, 1, 2, 1, 0, 4, 2, 4, 3, 0, 0, 2, 1, 0, 3, 1, 0, 0, 2, 3, 4, 3, 1, 1, 0, 2, 4, 1, 2, 1, 4, 4, 4, 1, 4, 3, 4, 4, 1, 1, 2, 3, 0, 2, 2, 2, 2, 3, 1, 0, 4, 0, 0, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 4, 1, 3, 0, 1, 2, 1, 2, 3, 1, 2, 4, 4, 1, 1, 3, 1, 1, 0, 0, 2, 1, 0, 4, 4, 3, 2, 1, 3, 2, 3, 2, 3, 4, 3, 2, 0, 3, 0, 4, 1, 2, 1, 4, 4, 3, 1, 3, 0, 1, 3, 2, 3, 4, 2, 3, 4, 1, 2, 4, 2, 4, 3, 1, 1, 2, 1, 0, 0, 3, 0, 4, 2, 2, 3, 3, 2, 1, 0, 1, 2, 2, 3, 2, 2, 2, 4, 4, 3, 2, 1, 1, 4, 3, 1, 4, 1, 3, 2, 2, 4, 4, 0, 2, 3, 3, 2, 0, 3, 2, 4, 3, 3, 3, 2, 3, 1, 1, 2, 0, 3, 1, 2, 2, 3, 4, 4, 0, 4, 4, 1, 0, 2, 3, 3, 0]
pubkeycol1192 = [4, 4, 0, 1, 0, 0, 3, 0, 1, 1, 4, 4, 2, 4, 3, 3, 2, 2, 4, 3, 1, 0, 3, 1, 2, 3, 1, 1, 0, 1, 2, 3, 2, 2, 3, 1, 0, 3, 1, 0, 2, 1, 3, 1, 4, 1, 2, 4, 4, 0, 4, 1, 4, 2, 4, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 2, 0, 2, 2, 3, 2, 1, 4, 2, 1, 4, 3, 4, 1, 0, 3, 3, 2, 0, 2, 4, 1, 1, 4, 3, 1, 2, 2, 3, 1, 2, 3, 3, 2, 4, 4, 0, 0, 0, 3, 0, 4, 1, 2, 0, 0, 3, 4, 3, 2, 1, 0, 3, 3, 3, 1, 4, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 3, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 4, 0, 0, 3, 3, 0, 3, 3, 3, 2, 0, 0, 0, 4, 1, 1, 3, 4, 0, 4, 3, 1, 3, 4, 0, 1, 0, 3, 1, 3, 0, 3, 4, 2, 1, 0, 4, 1, 0, 4, 4, 1, 3, 0, 0, 4, 4, 1, 4, 1, 0, 4, 2, 2, 0, 0, 2, 0, 0, 1, 1, 3, 3, 2, 3, 2, 1, 0, 0, 3, 4, 4, 3, 0, 3, 4, 4, 4, 1, 4, 2, 3, 2, 1, 4, 2, 0, 3, 1, 3, 0, 4, 0, 0, 2, 2, 2, 2, 3, 2, 0, 3, 1, 3, 2, 4, 4, 3, 3, 2, 2, 1, 4, 2, 2, 4, 2, 3, 3, 2, 0, 1, 3, 4, 4, 4, 3, 4, 0, 1, 4, 4, 0, 1, 4, 0, 4, 3, 1, 4, 0, 0, 0, 4, 2, 2, 4, 4, 0, 2, 0, 3, 4, 2, 3, 2, 3, 4, 4, 3, 1, 4, 0, 3, 0, 0, 0, 1, 3, 0, 1, 4, 0, 4, 4, 0, 1, 2, 2, 0, 2, 1, 4, 3, 2, 3, 2, 2, 0, 2, 0, 1, 3, 0, 3, 4, 4, 3, 2, 4, 4, 4, 2, 1, 3, 0, 3, 2, 4, 2, 3, 3, 4, 1, 4, 1, 1, 1, 1, 2, 4, 2, 2, 0, 1, 4, 3, 0, 4, 1, 2, 1, 4, 2, 3, 3, 0, 1, 1, 2, 2, 0, 0, 4, 4, 2, 0, 2, 2, 4, 3, 4, 1, 1, 2, 0]
pubkeycol1193 = [2, 3, 1, 4, 3, 4, 0, 1, 2, 4, 0, 2, 3, 3, 3, 1, 3, 4, 0, 2, 3, 4, 2, 4, 1, 1, 3, 1, 4, 2, 4, 4, 1, 2, 2, 2, 4, 0, 4, 2, 1, 4, 3, 4, 3, 0, 1, 4, 2, 0, 2, 0, 2, 2, 4, 3, 0, 0, 0, 1, 1, 4, 4, 4, 2, 3, 0, 4, 0, 4, 1, 0, 2, 2, 0, 1, 0, 4, 0, 0, 1, 3, 4, 0, 3, 0, 2, 3, 3, 4, 3, 4, 3, 0, 0, 3, 0, 4, 4, 0, 1, 2, 2, 0, 0, 3, 1, 4, 4, 2, 2, 2, 3, 1, 3, 0, 1, 3, 0, 4, 0, 1, 1, 3, 2, 1, 2, 2, 1, 4, 0, 1, 3, 3, 3, 4, 0, 1, 4, 3, 4, 0, 0, 2, 2, 2, 3, 3, 3, 2, 2, 4, 0, 0, 3, 1, 1, 4, 1, 3, 2, 4, 0, 2, 0, 2, 4, 0, 1, 1, 0, 3, 0, 1, 3, 0, 3, 3, 3, 4, 0, 2, 4, 4, 2, 3, 0, 1, 4, 3, 0, 4, 0, 1, 2, 0, 3, 0, 4, 4, 3, 1, 1, 0, 3, 4, 4, 3, 1, 4, 1, 1, 3, 1, 4, 0, 0, 1, 1, 3, 2, 3, 4, 3, 4, 0, 0, 3, 2, 2, 2, 0, 0, 4, 4, 1, 3, 2, 1, 0, 1, 1, 2, 1, 4, 3, 0, 3, 0, 4, 3, 2, 2, 0, 1, 1, 0, 0, 3, 2, 4, 4, 0, 2, 1, 0, 0, 3, 4, 1, 3, 2, 4, 4, 2, 4, 0, 3, 0, 3, 0, 0, 3, 3, 4, 2, 4, 1, 1, 4, 4, 3, 1, 0, 1, 3, 2, 3, 1, 0, 4, 2, 3, 1, 3, 0, 3, 3, 3, 4, 3, 0, 2, 4, 1, 4, 4, 1, 2, 2, 4, 3, 0, 1, 2, 2, 3, 1, 2, 4, 1, 2, 2, 4, 0, 3, 3, 1, 1, 2, 1, 0, 1, 3, 0, 1, 0, 3, 1, 2, 4, 3, 0, 0, 3, 0, 0, 3, 0, 1, 4, 3, 4, 3, 4, 0, 0, 0, 0, 3, 3, 2, 4, 4, 3, 1, 3, 2, 1, 3, 1, 2, 4, 3, 0, 0, 4, 3, 4, 0, 1, 0, 0, 2, 1, 2, 3, 1, 3, 4]
pubkeycol1194 = [4, 1, 3, 1, 1, 0, 1, 1, 2, 0, 4, 3, 0, 0, 4, 1, 3, 4, 2, 4, 3, 2, 4, 0, 2, 0, 2, 3, 0, 4, 4, 1, 2, 1, 1, 3, 1, 2, 2, 2, 0, 0, 3, 3, 4, 4, 1, 4, 1, 1, 4, 4, 3, 0, 0, 3, 3, 4, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 3, 4, 3, 4, 2, 1, 4, 4, 1, 0, 4, 2, 2, 0, 3, 3, 4, 4, 0, 0, 3, 2, 0, 2, 4, 2, 3, 1, 3, 1, 2, 4, 4, 4, 3, 4, 4, 1, 3, 4, 4, 3, 4, 1, 0, 2, 3, 3, 4, 4, 3, 0, 0, 4, 0, 4, 1, 3, 0, 4, 1, 4, 0, 1, 2, 1, 2, 0, 4, 1, 0, 2, 2, 3, 0, 4, 3, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 4, 2, 0, 1, 2, 4, 2, 0, 4, 3, 1, 1, 2, 2, 3, 0, 0, 0, 2, 0, 4, 0, 0, 4, 2, 2, 2, 4, 4, 2, 1, 3, 0, 2, 2, 4, 4, 4, 3, 0, 2, 2, 2, 3, 0, 3, 1, 0, 0, 0, 1, 0, 1, 4, 2, 0, 0, 3, 0, 1, 0, 1, 0, 2, 2, 3, 2, 2, 1, 0, 4, 0, 0, 3, 4, 1, 1, 2, 4, 4, 2, 2, 2, 2, 2, 3, 2, 4, 1, 4, 2, 3, 3, 1, 0, 4, 3, 3, 2, 4, 3, 0, 0, 2, 3, 2, 4, 4, 1, 2, 0, 4, 4, 3, 0, 0, 3, 2, 1, 1, 2, 2, 2, 1, 4, 1, 0, 1, 2, 1, 2, 0, 1, 3, 3, 0, 0, 3, 2, 4, 0, 2, 1, 0, 0, 1, 3, 3, 0, 3, 3, 3, 4, 0, 3, 4, 0, 0, 4, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 4, 0, 3, 1, 0, 0, 1, 1, 4, 4, 1, 0, 1, 4, 0, 2, 0, 4, 4, 4, 2, 2, 1, 0, 2, 3, 1, 1, 0, 1, 0, 1, 1, 3, 1, 1, 0, 2, 3, 1, 4, 3, 3, 2, 3, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 3, 0, 1, 2, 3, 3, 1, 0, 2, 1, 3, 1, 0, 1, 0, 0]
pubkeycol1195 = [0, 3, 0, 2, 1, 4, 0, 1, 3, 4, 0, 4, 0, 0, 4, 1, 4, 4, 2, 4, 0, 3, 0, 2, 0, 1, 0, 3, 1, 3, 0, 0, 0, 0, 1, 0, 3, 3, 2, 4, 3, 4, 3, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 0, 3, 2, 4, 2, 3, 4, 1, 1, 2, 4, 3, 4, 3, 2, 4, 2, 2, 1, 1, 0, 1, 4, 0, 4, 1, 1, 0, 2, 0, 3, 4, 4, 2, 2, 1, 2, 0, 4, 3, 2, 3, 2, 3, 1, 4, 1, 3, 3, 0, 2, 1, 4, 4, 1, 2, 1, 2, 3, 1, 0, 4, 1, 2, 3, 2, 0, 1, 1, 3, 1, 1, 3, 2, 4, 1, 3, 0, 4, 0, 4, 0, 3, 4, 2, 0, 0, 1, 4, 1, 2, 1, 2, 2, 2, 4, 3, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 4, 4, 4, 2, 3, 1, 3, 0, 1, 2, 4, 1, 0, 3, 1, 1, 4, 4, 3, 2, 2, 3, 1, 0, 0, 0, 4, 2, 3, 4, 2, 4, 4, 0, 0, 4, 0, 0, 0, 1, 0, 2, 0, 3, 4, 4, 0, 1, 4, 1, 0, 2, 2, 1, 0, 4, 3, 4, 4, 4, 4, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 0, 3, 0, 1, 0, 2, 0, 4, 3, 1, 0, 3, 3, 3, 1, 1, 2, 4, 4, 2, 3, 1, 3, 1, 1, 0, 2, 2, 0, 1, 4, 2, 3, 0, 0, 2, 3, 0, 2, 4, 2, 4, 0, 0, 0, 4, 4, 2, 0, 1, 2, 0, 3, 3, 4, 4, 2, 0, 3, 3, 4, 4, 1, 1, 0, 1, 2, 1, 2, 4, 3, 4, 2, 2, 0, 0, 2, 3, 0, 1, 1, 0, 1, 1, 1, 4, 1, 0, 2, 3, 4, 1, 3, 4, 4, 2, 2, 2, 4, 4, 3, 0, 2, 3, 3, 0, 1, 3, 0, 4, 3, 4, 4, 4, 1, 3, 3, 4, 2, 2, 1, 1, 4, 3, 1, 1, 1, 4, 0, 4, 0, 3, 1, 2, 2, 4, 0, 1, 4, 4, 3, 3, 3, 4, 2, 3, 1, 3, 1, 3, 1, 1, 0, 4, 0, 1, 0, 0, 0, 2, 4, 0, 3, 1, 2, 3, 1, 3]
pubkeycol1196 = [3, 0, 0, 2, 0, 3, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 4, 4, 2, 2, 0, 3, 0, 3, 4, 1, 2, 4, 1, 4, 0, 2, 0, 1, 1, 0, 0, 3, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 0, 2, 2, 0, 4, 3, 2, 4, 3, 0, 3, 2, 3, 0, 4, 0, 1, 4, 3, 0, 3, 1, 4, 0, 3, 1, 1, 4, 0, 3, 3, 2, 4, 3, 3, 0, 4, 3, 4, 3, 3, 0, 1, 4, 1, 3, 3, 3, 3, 4, 2, 1, 0, 1, 3, 4, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 3, 4, 2, 0, 2, 3, 4, 0, 1, 3, 1, 0, 2, 0, 0, 4, 4, 2, 3, 1, 4, 4, 4, 3, 4, 4, 1, 1, 3, 2, 1, 0, 4, 2, 0, 3, 0, 2, 1, 2, 4, 2, 3, 3, 3, 0, 2, 3, 4, 3, 1, 3, 4, 0, 4, 0, 3, 3, 1, 1, 4, 2, 1, 1, 4, 3, 3, 2, 1, 4, 1, 4, 1, 1, 0, 1, 0, 4, 0, 4, 1, 3, 1, 0, 2, 0, 4, 3, 0, 3, 4, 0, 3, 1, 1, 3, 2, 4, 3, 1, 0, 2, 1, 4, 3, 2, 1, 4, 2, 2, 4, 1, 1, 1, 3, 2, 0, 4, 0, 1, 4, 1, 0, 3, 2, 0, 1, 0, 4, 4, 0, 0, 0, 2, 2, 2, 4, 2, 3, 4, 1, 3, 4, 1, 3, 0, 2, 3, 4, 3, 3, 2, 2, 4, 3, 2, 1, 0, 1, 3, 1, 2, 2, 3, 3, 1, 0, 3, 0, 4, 3, 4, 2, 0, 0, 1, 0, 4, 2, 1, 4, 3, 0, 0, 3, 4, 1, 4, 2, 4, 2, 3, 1, 1, 1, 1, 0, 1, 3, 2, 3, 2, 4, 3, 0, 1, 4, 4, 4, 0, 1, 0, 0, 2, 1, 4, 4, 4, 4, 3, 4, 4, 1, 0, 2, 2, 4, 1, 4, 0, 2, 3, 2, 3, 4, 0, 1, 4, 3, 3, 0, 3, 0, 0, 3, 3, 0, 2, 4, 4, 2, 2, 2, 0, 4, 3, 0, 0, 1, 3, 3, 2, 2, 1, 3, 4, 2, 2, 1, 4, 3, 2, 2, 0, 1, 1, 0, 2, 4, 3, 1, 1, 1]
pubkeycol1197 = [2, 3, 3, 0, 3, 3, 2, 1, 1, 2, 0, 4, 3, 2, 2, 4, 0, 4, 0, 1, 1, 3, 2, 3, 0, 4, 4, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 4, 0, 3, 1, 4, 2, 4, 3, 1, 0, 1, 3, 3, 2, 1, 3, 4, 0, 3, 3, 1, 1, 3, 3, 3, 2, 2, 1, 2, 2, 4, 0, 1, 3, 2, 4, 4, 2, 3, 2, 1, 3, 2, 0, 1, 0, 0, 2, 0, 0, 0, 3, 2, 2, 1, 2, 2, 3, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 1, 2, 4, 4, 0, 2, 0, 4, 1, 2, 3, 0, 0, 0, 2, 2, 3, 1, 1, 1, 3, 1, 3, 3, 3, 3, 0, 0, 1, 1, 3, 1, 3, 3, 2, 1, 3, 4, 0, 0, 2, 1, 3, 3, 2, 4, 4, 4, 4, 1, 2, 0, 2, 0, 4, 1, 1, 0, 0, 3, 0, 2, 1, 3, 0, 3, 1, 0, 4, 0, 4, 3, 0, 4, 4, 0, 0, 2, 4, 3, 1, 3, 1, 1, 2, 1, 4, 0, 2, 3, 1, 1, 0, 1, 1, 3, 1, 4, 1, 4, 2, 1, 2, 1, 3, 2, 1, 3, 4, 4, 1, 0, 4, 0, 3, 1, 2, 3, 3, 3, 2, 1, 3, 0, 4, 2, 4, 3, 2, 2, 4, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 0, 0, 2, 2, 4, 4, 4, 0, 4, 2, 1, 2, 1, 4, 2, 1, 2, 2, 0, 4, 0, 2, 3, 1, 2, 1, 2, 1, 0, 3, 3, 2, 4, 4, 2, 3, 3, 0, 2, 3, 2, 0, 1, 0, 4, 0, 4, 1, 1, 0, 1, 2, 0, 3, 1, 3, 1, 0, 4, 0, 1, 1, 3, 0, 1, 4, 0, 3, 2, 1, 3, 4, 0, 0, 3, 4, 2, 4, 3, 2, 4, 1, 3, 2, 2, 3, 3, 0, 1, 3, 4, 2, 4, 1, 1, 0, 0, 1, 1, 3, 3, 2, 3, 0, 3, 1, 3, 3, 1, 1, 1, 3, 1, 0, 4, 2, 3, 1, 3, 3, 0, 1, 1, 0, 3, 1, 0, 0, 1, 3, 2, 4, 2, 1, 0, 4, 1, 2, 1, 2, 1, 1, 0, 1, 3, 1, 2, 3, 0, 0, 2, 4]
pubkeycol1198 = [2, 1, 0, 1, 0, 3, 3, 3, 3, 1, 1, 3, 1, 0, 3, 3, 4, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 4, 1, 4, 1, 4, 4, 2, 0, 0, 0, 1, 4, 4, 0, 3, 3, 1, 3, 2, 4, 1, 3, 4, 1, 3, 2, 4, 3, 4, 1, 0, 2, 0, 1, 3, 2, 2, 0, 0, 1, 2, 0, 3, 1, 3, 2, 3, 1, 4, 4, 3, 3, 4, 3, 2, 2, 0, 4, 4, 2, 3, 2, 4, 1, 2, 0, 1, 2, 2, 4, 0, 0, 3, 4, 0, 0, 2, 1, 1, 1, 3, 1, 0, 4, 3, 2, 0, 2, 0, 0, 3, 0, 4, 3, 1, 4, 0, 3, 1, 3, 4, 1, 4, 1, 1, 4, 0, 4, 0, 1, 4, 1, 2, 2, 3, 3, 0, 4, 4, 0, 0, 0, 4, 1, 0, 4, 3, 1, 0, 2, 1, 2, 2, 4, 1, 4, 4, 4, 3, 3, 4, 0, 2, 3, 4, 4, 3, 0, 2, 1, 0, 4, 2, 2, 4, 0, 4, 0, 2, 0, 1, 0, 2, 0, 4, 1, 3, 2, 4, 4, 0, 1, 2, 3, 1, 3, 1, 3, 2, 1, 1, 0, 2, 3, 1, 0, 4, 0, 1, 0, 1, 3, 4, 1, 1, 0, 1, 2, 3, 1, 1, 2, 4, 1, 3, 2, 2, 2, 3, 2, 0, 3, 3, 0, 4, 1, 2, 4, 4, 2, 0, 3, 4, 3, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 4, 3, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 3, 0, 2, 4, 2, 4, 4, 2, 2, 3, 2, 3, 2, 3, 2, 4, 3, 2, 4, 4, 4, 3, 2, 2, 2, 1, 2, 2, 1, 4, 4, 2, 3, 0, 1, 0, 0, 3, 4, 4, 1, 4, 2, 4, 1, 2, 2, 0, 1, 0, 1, 0, 0, 4, 1, 0, 4, 1, 0, 3, 4, 1, 0, 1, 1, 4, 0, 3, 1, 1, 3, 1, 0, 3, 0, 1, 1, 3, 2, 4, 4, 1, 1, 4, 1, 4, 4, 0, 0, 0, 1, 3, 0, 3, 2, 4, 3, 1, 0, 4, 3, 2, 4, 3, 4, 0, 3, 0, 2, 0, 0, 0, 0, 2, 1]
pubkeycol1199 = [4, 0, 0, 4, 1, 4, 1, 2, 3, 1, 2, 2, 3, 1, 2, 4, 2, 3, 4, 1, 3, 0, 4, 4, 2, 0, 0, 4, 3, 2, 0, 0, 4, 1, 2, 4, 4, 2, 1, 3, 3, 1, 3, 1, 3, 4, 0, 0, 3, 3, 0, 2, 4, 0, 2, 3, 4, 3, 4, 3, 0, 4, 0, 4, 2, 2, 4, 2, 4, 0, 4, 3, 1, 0, 2, 2, 3, 0, 2, 3, 0, 3, 3, 2, 3, 0, 3, 4, 1, 3, 4, 1, 1, 0, 2, 3, 0, 2, 3, 0, 0, 2, 0, 4, 1, 3, 1, 4, 4, 4, 2, 0, 0, 0, 0, 3, 2, 0, 2, 2, 2, 3, 4, 0, 2, 0, 2, 1, 1, 2, 4, 1, 0, 0, 4, 2, 4, 3, 3, 1, 4, 2, 1, 0, 1, 1, 2, 2, 1, 0, 4, 3, 3, 3, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 3, 0, 3, 1, 0, 1, 4, 1, 1, 0, 4, 4, 4, 4, 2, 1, 0, 1, 0, 3, 1, 1, 4, 0, 3, 0, 0, 3, 4, 1, 4, 1, 2, 3, 2, 0, 3, 1, 3, 3, 3, 0, 1, 4, 4, 1, 0, 2, 0, 0, 4, 4, 2, 3, 4, 4, 1, 1, 3, 1, 4, 0, 2, 4, 2, 1, 3, 3, 1, 1, 2, 3, 3, 4, 4, 1, 4, 2, 1, 0, 1, 0, 4, 3, 3, 2, 1, 0, 3, 4, 4, 2, 2, 3, 2, 1, 1, 2, 0, 2, 0, 3, 4, 1, 3, 0, 3, 0, 0, 0, 2, 2, 3, 3, 0, 2, 4, 3, 4, 1, 1, 2, 1, 1, 0, 1, 0, 3, 1, 3, 3, 2, 4, 3, 2, 4, 1, 4, 4, 3, 0, 2, 2, 1, 1, 1, 0, 2, 2, 3, 0, 2, 3, 3, 1, 3, 4, 4, 2, 4, 3, 2, 0, 4, 1, 2, 0, 3, 3, 3, 3, 1, 0, 3, 4, 3, 1, 2, 0, 3, 0, 2, 2, 4, 3, 4, 3, 1, 4, 1, 2, 0, 0, 1, 1, 2, 3, 4, 1, 3, 1, 3, 1, 2, 0, 0, 1, 4, 3, 2, 4, 3, 3, 2, 2, 4, 2, 2, 2, 3, 0, 1, 3, 3, 3, 4, 0, 3, 0, 3, 3, 4, 4, 3]
pubkeycol1200 = [4, 3, 2, 2, 4, 3, 2, 0, 0, 0, 3, 2, 0, 3, 1, 1, 3, 1, 1, 0, 0, 2, 1, 0, 3, 2, 1, 1, 4, 4, 0, 2, 2, 4, 4, 2, 3, 2, 2, 0, 2, 1, 2, 0, 3, 3, 3, 3, 4, 4, 2, 1, 0, 3, 2, 2, 1, 1, 0, 4, 0, 0, 1, 4, 4, 4, 3, 3, 2, 1, 3, 2, 3, 3, 1, 4, 4, 0, 1, 2, 0, 1, 2, 4, 2, 2, 3, 4, 3, 0, 2, 0, 4, 4, 4, 2, 1, 1, 3, 3, 1, 3, 4, 3, 0, 4, 2, 2, 1, 3, 3, 1, 3, 1, 0, 2, 1, 4, 4, 0, 2, 4, 0, 1, 0, 1, 4, 3, 3, 0, 2, 4, 3, 4, 1, 3, 2, 2, 3, 2, 0, 2, 4, 1, 0, 3, 0, 4, 2, 3, 3, 0, 3, 4, 2, 3, 4, 2, 2, 3, 4, 4, 4, 0, 4, 1, 1, 1, 1, 3, 1, 0, 0, 3, 3, 0, 2, 3, 0, 2, 4, 1, 0, 0, 0, 4, 2, 0, 3, 0, 1, 3, 3, 0, 0, 1, 1, 3, 4, 4, 3, 3, 0, 2, 4, 0, 2, 2, 3, 3, 0, 1, 3, 4, 2, 1, 2, 4, 2, 0, 4, 0, 0, 3, 3, 0, 1, 4, 2, 1, 1, 3, 1, 4, 0, 3, 3, 1, 0, 2, 0, 3, 2, 1, 1, 1, 0, 2, 0, 4, 2, 1, 4, 4, 0, 0, 3, 0, 1, 3, 1, 4, 1, 1, 4, 0, 0, 1, 0, 2, 3, 0, 3, 4, 0, 1, 4, 2, 4, 1, 3, 1, 4, 1, 0, 2, 2, 1, 2, 3, 2, 4, 3, 4, 2, 1, 4, 2, 2, 1, 3, 0, 1, 3, 3, 4, 2, 2, 4, 0, 0, 3, 1, 4, 4, 1, 3, 4, 4, 4, 4, 1, 3, 0, 0, 1, 2, 3, 0, 0, 4, 4, 2, 2, 4, 0, 2, 0, 4, 4, 0, 2, 1, 2, 4, 0, 3, 4, 0, 3, 3, 4, 4, 3, 2, 3, 1, 4, 4, 2, 2, 2, 3, 1, 2, 2, 4, 1, 4, 0, 3, 4, 4, 4, 2, 3, 2, 0, 0, 1, 3, 1, 3, 0, 2, 1, 1, 4, 3, 0, 2, 4, 2, 0, 4, 0, 3, 3, 0, 3]
pubkeycol1201 = [1, 3, 3, 0, 0, 4, 3, 0, 4, 1, 3, 3, 4, 1, 3, 2, 2, 3, 0, 3, 4, 4, 4, 0, 3, 2, 4, 0, 1, 0, 1, 0, 1, 3, 4, 4, 2, 3, 3, 4, 3, 4, 0, 2, 4, 4, 1, 0, 2, 3, 0, 1, 1, 1, 1, 4, 4, 2, 4, 1, 1, 0, 3, 4, 0, 1, 4, 0, 1, 0, 1, 0, 4, 3, 0, 2, 1, 0, 0, 3, 3, 4, 0, 0, 2, 4, 1, 1, 1, 1, 4, 3, 2, 1, 0, 2, 1, 1, 2, 3, 1, 1, 1, 1, 4, 4, 4, 1, 4, 2, 3, 0, 3, 3, 0, 2, 3, 1, 0, 1, 0, 0, 1, 0, 4, 4, 4, 2, 2, 2, 0, 1, 3, 0, 0, 2, 3, 0, 0, 1, 4, 0, 0, 4, 2, 1, 2, 4, 0, 2, 4, 1, 1, 3, 2, 1, 2, 2, 4, 1, 3, 4, 1, 0, 3, 4, 0, 0, 4, 2, 2, 1, 3, 1, 0, 0, 3, 4, 4, 0, 1, 2, 0, 3, 1, 2, 2, 1, 3, 0, 3, 1, 3, 0, 1, 4, 4, 0, 2, 4, 1, 0, 3, 0, 3, 3, 4, 4, 3, 1, 2, 3, 1, 3, 2, 2, 4, 3, 4, 4, 0, 3, 1, 0, 1, 1, 0, 2, 4, 0, 1, 0, 0, 3, 0, 2, 3, 4, 3, 1, 3, 1, 0, 0, 2, 0, 4, 1, 1, 0, 4, 2, 2, 1, 2, 0, 3, 2, 2, 4, 1, 3, 4, 1, 3, 1, 1, 1, 0, 0, 2, 3, 1, 1, 0, 3, 4, 0, 2, 1, 3, 1, 0, 1, 3, 3, 3, 3, 1, 4, 1, 0, 3, 3, 3, 3, 4, 2, 1, 3, 3, 3, 0, 0, 1, 3, 4, 0, 4, 4, 3, 1, 2, 3, 4, 4, 4, 3, 0, 4, 0, 1, 0, 0, 3, 4, 0, 0, 3, 4, 1, 3, 3, 0, 0, 2, 1, 3, 4, 1, 3, 0, 2, 4, 1, 0, 2, 3, 3, 3, 3, 1, 2, 4, 0, 2, 2, 4, 1, 2, 2, 4, 1, 0, 4, 3, 0, 0, 2, 2, 1, 3, 4, 2, 2, 2, 2, 4, 2, 2, 0, 1, 0, 0, 2, 4, 4, 2, 2, 0, 4, 2, 3, 3, 1, 3, 4, 4, 2, 1]
pubkeycol1202 = [1, 0, 0, 3, 3, 0, 2, 1, 2, 1, 3, 3, 1, 0, 2, 4, 3, 2, 4, 4, 4, 2, 0, 4, 3, 3, 4, 1, 4, 2, 1, 4, 0, 0, 4, 3, 4, 0, 4, 3, 2, 0, 0, 0, 0, 4, 3, 2, 2, 4, 3, 3, 2, 1, 1, 2, 3, 0, 2, 4, 0, 3, 3, 4, 1, 4, 2, 0, 1, 3, 1, 1, 2, 4, 0, 2, 0, 3, 2, 4, 2, 4, 1, 4, 1, 4, 4, 4, 4, 0, 1, 2, 3, 3, 3, 0, 3, 3, 2, 2, 2, 3, 4, 0, 2, 4, 3, 3, 1, 2, 3, 0, 4, 2, 4, 4, 3, 4, 2, 3, 1, 4, 0, 2, 2, 4, 4, 4, 1, 3, 4, 2, 0, 3, 0, 1, 3, 3, 3, 4, 0, 1, 4, 3, 4, 1, 0, 4, 3, 0, 0, 0, 3, 1, 3, 1, 3, 0, 1, 3, 3, 0, 1, 0, 2, 4, 4, 2, 2, 1, 2, 4, 0, 2, 4, 2, 3, 1, 2, 1, 0, 0, 3, 1, 2, 4, 2, 3, 0, 0, 0, 0, 4, 2, 2, 4, 1, 0, 4, 1, 0, 2, 2, 4, 0, 2, 0, 3, 4, 0, 3, 0, 4, 3, 3, 4, 0, 1, 2, 2, 4, 4, 1, 0, 0, 4, 0, 2, 4, 0, 4, 1, 4, 0, 1, 4, 1, 3, 4, 3, 2, 1, 1, 4, 4, 4, 0, 3, 4, 2, 3, 3, 2, 1, 0, 4, 3, 1, 4, 2, 4, 2, 3, 1, 1, 3, 0, 0, 0, 3, 2, 0, 4, 3, 4, 0, 0, 0, 2, 1, 4, 1, 1, 4, 0, 0, 0, 2, 1, 0, 1, 0, 3, 2, 4, 2, 1, 3, 0, 3, 1, 2, 3, 1, 1, 3, 2, 3, 1, 0, 0, 0, 3, 4, 2, 0, 0, 4, 4, 0, 2, 0, 3, 3, 3, 4, 3, 1, 2, 2, 1, 3, 2, 0, 4, 1, 2, 3, 0, 1, 3, 0, 1, 1, 0, 0, 2, 2, 2, 0, 4, 0, 4, 0, 3, 2, 0, 0, 0, 2, 4, 4, 0, 0, 3, 2, 2, 4, 4, 4, 0, 2, 1, 2, 1, 3, 4, 4, 3, 2, 3, 2, 4, 1, 4, 2, 3, 1, 2, 3, 4, 1, 0, 1, 1, 1, 3, 4, 4, 1]
pubkeycol1203 = [3, 2, 2, 1, 0, 2, 3, 3, 0, 2, 1, 3, 3, 1, 2, 1, 4, 4, 1, 1, 1, 2, 4, 0, 1, 4, 1, 3, 0, 0, 4, 1, 3, 4, 0, 0, 4, 4, 2, 4, 4, 3, 2, 4, 0, 0, 4, 0, 0, 0, 1, 3, 3, 0, 0, 3, 0, 0, 0, 4, 4, 2, 0, 3, 3, 0, 1, 3, 3, 3, 4, 1, 1, 1, 2, 3, 3, 0, 3, 0, 0, 1, 0, 3, 3, 4, 4, 2, 4, 1, 1, 3, 1, 0, 4, 2, 2, 4, 1, 2, 4, 3, 2, 4, 1, 0, 3, 1, 1, 4, 4, 4, 3, 1, 2, 2, 0, 4, 4, 0, 2, 0, 4, 3, 1, 0, 3, 3, 4, 2, 0, 3, 4, 0, 0, 1, 0, 0, 2, 1, 1, 2, 4, 1, 4, 2, 2, 4, 3, 2, 2, 4, 3, 4, 3, 2, 2, 1, 2, 0, 4, 0, 4, 1, 1, 1, 2, 4, 4, 4, 4, 2, 4, 2, 3, 1, 3, 1, 1, 4, 4, 3, 2, 1, 4, 4, 4, 3, 1, 3, 3, 4, 3, 0, 3, 1, 0, 1, 2, 0, 3, 2, 1, 1, 3, 2, 2, 2, 3, 0, 1, 3, 0, 1, 2, 0, 3, 3, 2, 4, 1, 1, 4, 4, 3, 4, 2, 3, 4, 2, 4, 4, 0, 2, 4, 2, 3, 1, 4, 3, 0, 2, 0, 1, 2, 1, 3, 0, 3, 2, 4, 3, 3, 0, 4, 0, 1, 2, 3, 1, 4, 2, 2, 1, 3, 3, 2, 3, 0, 3, 3, 1, 3, 0, 4, 3, 2, 0, 4, 0, 1, 0, 1, 0, 1, 0, 3, 2, 2, 1, 3, 1, 2, 0, 2, 3, 3, 1, 1, 0, 3, 4, 0, 0, 2, 3, 1, 0, 0, 1, 4, 0, 3, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 4, 3, 3, 2, 4, 3, 3, 2, 4, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 3, 3, 4, 4, 3, 2, 2, 2, 3, 3, 0, 0, 0, 3, 2, 2, 4, 3, 0, 1, 4, 2, 0, 4, 3, 2, 2, 2, 4, 2, 3, 0, 3, 3, 1, 1, 4, 3, 3, 0, 3, 1, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 4, 0, 4, 3]
pubkeycol1204 = [3, 1, 0, 2, 2, 1, 1, 0, 1, 3, 2, 1, 1, 2, 1, 4, 1, 0, 1, 4, 0, 3, 0, 1, 3, 1, 4, 2, 2, 1, 1, 2, 0, 4, 1, 1, 3, 4, 3, 0, 2, 4, 4, 3, 4, 0, 0, 0, 3, 0, 1, 2, 4, 2, 0, 1, 1, 2, 0, 1, 4, 2, 0, 4, 4, 2, 2, 0, 3, 1, 2, 2, 4, 0, 1, 2, 4, 1, 1, 1, 2, 0, 3, 2, 4, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 3, 3, 4, 2, 1, 0, 1, 0, 2, 3, 3, 2, 0, 4, 4, 3, 3, 4, 1, 4, 4, 1, 3, 1, 3, 0, 3, 3, 4, 1, 0, 0, 2, 3, 0, 1, 3, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 4, 1, 4, 2, 1, 1, 4, 3, 1, 1, 3, 1, 1, 3, 3, 2, 2, 2, 1, 2, 0, 2, 0, 4, 1, 1, 3, 3, 0, 0, 2, 4, 1, 4, 2, 2, 3, 1, 1, 4, 3, 0, 4, 4, 2, 4, 4, 0, 2, 3, 4, 1, 1, 3, 2, 3, 1, 4, 0, 1, 0, 0, 4, 2, 3, 4, 4, 4, 4, 2, 3, 0, 4, 4, 1, 4, 2, 0, 4, 2, 2, 0, 2, 2, 4, 1, 1, 2, 3, 2, 1, 2, 2, 1, 4, 1, 2, 0, 2, 3, 2, 0, 4, 4, 4, 0, 3, 4, 4, 2, 0, 1, 1, 4, 0, 1, 3, 2, 0, 3, 0, 3, 2, 1, 2, 4, 3, 0, 3, 0, 1, 2, 1, 2, 0, 1, 1, 4, 1, 2, 0, 2, 2, 1, 0, 4, 3, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 1, 0, 0, 4, 3, 4, 0, 0, 3, 1, 1, 3, 0, 4, 4, 4, 1, 3, 2, 2, 0, 2, 4, 2, 1, 4, 2, 3, 2, 1, 1, 4, 1, 0, 1, 0, 1, 0, 0, 1, 3, 0, 1, 3, 0, 1, 1, 4, 0, 3, 3, 1, 0, 1, 1, 4, 4, 4, 1, 0, 3, 1, 1, 2, 1, 0, 1, 2, 0, 4, 4, 3, 0, 3, 4, 1, 1, 1, 2, 3, 2, 2, 1, 3, 0, 4, 3, 3, 0, 3, 3, 2, 1, 4, 0, 3, 0, 0, 4]
pubkeycol1205 = [0, 0, 2, 2, 3, 1, 4, 3, 3, 0, 3, 4, 4, 1, 3, 3, 4, 4, 3, 1, 2, 1, 3, 1, 4, 1, 3, 1, 4, 3, 3, 0, 4, 3, 3, 0, 0, 1, 3, 4, 1, 4, 3, 1, 2, 3, 3, 3, 3, 2, 1, 3, 4, 1, 0, 1, 2, 0, 0, 4, 2, 0, 0, 1, 0, 4, 3, 2, 4, 3, 0, 0, 0, 0, 4, 4, 0, 4, 3, 2, 3, 0, 0, 0, 1, 1, 4, 2, 3, 0, 3, 3, 1, 0, 3, 0, 1, 2, 1, 4, 3, 0, 4, 2, 3, 2, 0, 2, 4, 1, 1, 3, 1, 1, 4, 4, 2, 1, 3, 1, 4, 2, 0, 4, 2, 3, 1, 3, 1, 3, 0, 2, 1, 4, 3, 0, 3, 3, 0, 1, 1, 0, 3, 1, 2, 1, 0, 4, 3, 2, 0, 1, 2, 1, 3, 1, 4, 3, 4, 2, 1, 4, 0, 4, 2, 3, 1, 4, 1, 4, 4, 1, 4, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 0, 2, 3, 1, 4, 1, 0, 4, 3, 1, 2, 0, 4, 1, 0, 3, 2, 3, 1, 3, 0, 3, 3, 1, 1, 4, 2, 2, 1, 3, 4, 0, 3, 4, 2, 2, 4, 0, 4, 1, 3, 3, 0, 0, 0, 4, 2, 1, 4, 4, 1, 0, 3, 3, 2, 4, 4, 0, 3, 0, 0, 4, 1, 2, 0, 2, 2, 4, 2, 1, 1, 3, 0, 4, 2, 4, 3, 2, 1, 1, 3, 1, 0, 0, 2, 4, 4, 1, 2, 0, 3, 0, 4, 4, 1, 3, 1, 4, 2, 3, 4, 3, 1, 0, 4, 4, 1, 0, 4, 4, 0, 3, 3, 2, 4, 1, 4, 1, 3, 3, 1, 4, 2, 0, 3, 4, 3, 3, 0, 1, 2, 2, 4, 1, 2, 3, 2, 4, 1, 1, 2, 2, 0, 1, 0, 1, 3, 1, 0, 1, 4, 2, 3, 3, 0, 0, 3, 4, 3, 1, 0, 0, 2, 3, 2, 2, 4, 0, 4, 2, 1, 3, 4, 1, 0, 3, 1, 0, 3, 0, 0, 2, 3, 0, 4, 3, 1, 0, 1, 1, 2, 0, 3, 1, 3, 3, 1, 3, 1, 1, 0, 1, 0, 3, 0, 1, 3, 3, 0, 1, 3, 2, 3, 3, 1, 4, 2]
pubkeycol1206 = [1, 0, 1, 1, 2, 3, 0, 1, 0, 2, 1, 0, 0, 2, 0, 3, 4, 1, 1, 3, 4, 1, 3, 4, 0, 1, 4, 3, 4, 3, 1, 1, 1, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 2, 4, 2, 4, 3, 4, 0, 0, 2, 3, 3, 3, 0, 3, 3, 3, 2, 4, 0, 2, 4, 4, 3, 2, 0, 0, 3, 2, 1, 1, 1, 3, 4, 0, 4, 3, 1, 2, 2, 4, 0, 0, 4, 3, 0, 3, 3, 0, 3, 4, 4, 3, 1, 2, 1, 3, 1, 4, 2, 1, 3, 3, 4, 0, 1, 1, 2, 4, 1, 3, 1, 4, 0, 4, 1, 4, 2, 4, 4, 0, 3, 1, 2, 1, 3, 1, 2, 4, 2, 4, 1, 0, 0, 0, 4, 0, 1, 1, 2, 2, 2, 3, 1, 4, 0, 1, 2, 2, 3, 0, 1, 3, 3, 2, 2, 4, 2, 2, 1, 0, 2, 2, 1, 1, 3, 4, 1, 4, 4, 0, 1, 4, 4, 2, 3, 2, 1, 3, 4, 3, 4, 1, 1, 3, 2, 3, 1, 1, 2, 1, 1, 2, 1, 2, 2, 4, 3, 3, 3, 0, 2, 4, 1, 2, 2, 3, 3, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 2, 4, 4, 0, 2, 1, 4, 3, 1, 3, 1, 3, 0, 0, 3, 0, 2, 0, 2, 1, 3, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 3, 4, 2, 4, 1, 4, 1, 4, 3, 0, 3, 0, 2, 4, 2, 3, 1, 1, 4, 0, 3, 2, 3, 0, 4, 4, 1, 3, 3, 0, 2, 1, 2, 2, 4, 2, 3, 1, 1, 3, 0, 3, 3, 1, 2, 4, 4, 2, 2, 3, 2, 3, 0, 3, 1, 1, 1, 3, 3, 4, 2, 2, 0, 4, 0, 3, 0, 4, 1, 0, 0, 2, 0, 2, 0, 3, 4, 4, 4, 0, 3, 1, 3, 1, 4, 3, 3, 1, 1, 4, 0, 3, 1, 4, 3, 2, 4, 3, 3, 3, 3, 0, 2, 2, 2, 1, 2, 2, 3, 3, 2, 1, 3, 4, 4, 1, 4, 4, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 3, 4, 2, 2, 4, 0, 3, 2, 0, 2, 1, 2, 3, 4, 4, 3, 1]
pubkeycol1207 = [0, 2, 0, 0, 2, 3, 0, 3, 1, 3, 0, 0, 0, 4, 0, 0, 0, 4, 1, 3, 4, 2, 4, 3, 0, 1, 0, 2, 3, 1, 2, 2, 4, 0, 4, 1, 2, 3, 2, 4, 0, 0, 1, 3, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 3, 3, 3, 3, 3, 3, 0, 1, 4, 4, 3, 1, 0, 1, 3, 0, 0, 4, 3, 4, 0, 1, 1, 3, 2, 1, 0, 1, 0, 2, 1, 1, 3, 1, 4, 2, 3, 1, 2, 0, 0, 3, 0, 2, 0, 3, 1, 3, 1, 4, 0, 3, 1, 3, 4, 2, 3, 0, 3, 3, 4, 1, 1, 2, 0, 2, 4, 4, 2, 3, 4, 2, 3, 2, 2, 2, 0, 3, 3, 3, 2, 0, 1, 1, 1, 3, 1, 4, 1, 2, 4, 4, 1, 4, 4, 2, 1, 4, 4, 0, 1, 3, 2, 1, 2, 2, 3, 0, 4, 1, 1, 0, 0, 3, 1, 3, 3, 2, 1, 4, 0, 2, 3, 2, 1, 1, 4, 0, 4, 1, 2, 4, 0, 2, 3, 2, 2, 2, 4, 2, 0, 4, 2, 2, 1, 3, 2, 3, 4, 3, 1, 1, 3, 4, 0, 1, 2, 4, 3, 3, 2, 2, 1, 4, 3, 0, 3, 1, 4, 0, 1, 3, 1, 0, 4, 4, 4, 4, 3, 2, 1, 4, 4, 0, 2, 4, 3, 0, 1, 4, 3, 1, 4, 1, 4, 4, 0, 3, 1, 3, 0, 2, 1, 3, 1, 3, 1, 4, 0, 0, 2, 4, 4, 3, 1, 3, 2, 1, 2, 2, 0, 4, 2, 0, 3, 1, 0, 4, 0, 2, 3, 1, 1, 3, 1, 1, 0, 0, 3, 4, 0, 3, 1, 0, 2, 3, 3, 0, 2, 0, 0, 1, 1, 1, 4, 4, 2, 3, 2, 2, 4, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 3, 2, 1, 1, 4, 3, 0, 4, 0, 1, 3, 2, 0, 1, 4, 3, 1, 4, 2, 2, 4, 1, 1, 3, 2, 3, 0, 0, 0, 0, 3, 4, 2, 4, 2, 1, 0, 4, 3, 2, 0, 2, 0, 3, 1, 4, 1, 2, 1, 4, 2, 0, 3, 1, 0, 2, 2, 4, 2, 3, 3, 2, 2, 1, 3, 1, 2, 4, 1]
pubkeycol1208 = [1, 3, 0, 2, 1, 1, 4, 2, 3, 1, 3, 3, 1, 1, 1, 2, 0, 4, 2, 1, 1, 2, 0, 0, 4, 1, 1, 0, 4, 4, 2, 0, 3, 4, 4, 0, 3, 4, 4, 1, 2, 0, 3, 1, 1, 0, 1, 3, 4, 3, 0, 1, 4, 4, 1, 0, 2, 1, 4, 1, 2, 4, 2, 3, 4, 0, 4, 3, 4, 2, 1, 0, 3, 0, 4, 0, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 3, 0, 2, 0, 1, 3, 3, 4, 3, 4, 4, 4, 3, 0, 0, 2, 2, 2, 1, 0, 4, 2, 4, 2, 3, 0, 0, 1, 1, 2, 1, 0, 4, 3, 0, 1, 0, 4, 2, 2, 4, 4, 0, 3, 3, 4, 2, 4, 4, 3, 0, 0, 1, 2, 1, 0, 3, 3, 2, 2, 2, 1, 2, 4, 2, 2, 0, 2, 3, 0, 1, 0, 4, 0, 0, 2, 3, 4, 0, 2, 2, 2, 4, 0, 2, 0, 0, 1, 3, 0, 2, 0, 1, 1, 4, 2, 4, 3, 0, 4, 1, 4, 2, 0, 2, 3, 2, 3, 3, 1, 3, 3, 0, 4, 3, 3, 0, 2, 1, 0, 0, 4, 0, 2, 0, 1, 3, 3, 1, 0, 2, 4, 1, 4, 3, 4, 2, 4, 2, 0, 4, 1, 4, 4, 2, 2, 2, 0, 0, 1, 3, 2, 4, 2, 0, 4, 1, 1, 2, 0, 1, 4, 0, 3, 0, 3, 3, 1, 2, 2, 4, 2, 2, 0, 2, 3, 4, 1, 4, 0, 2, 0, 2, 2, 0, 0, 3, 3, 3, 4, 3, 3, 2, 1, 4, 2, 3, 4, 0, 0, 0, 4, 3, 1, 4, 0, 4, 2, 1, 3, 4, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 3, 4, 0, 2, 1, 0, 3, 1, 1, 0, 2, 2, 4, 2, 3, 0, 0, 3, 3, 3, 4, 1, 1, 4, 0, 3, 0, 2, 1, 0, 4, 0, 4, 1, 4, 4, 0, 1, 2, 1, 0, 0, 1, 3, 1, 3, 1, 3, 2, 1, 0, 4, 0, 3, 1, 0, 2, 4, 2, 4, 1, 2, 4, 0, 4, 2, 3, 4, 0, 4, 1, 1, 2, 3, 4, 3, 2, 2, 3, 4, 1, 1, 3, 2, 3, 3, 0, 2, 1, 4]
pubkeycol1209 = [2, 4, 2, 2, 4, 2, 0, 4, 3, 1, 0, 4, 1, 1, 2, 3, 2, 3, 0, 1, 4, 3, 3, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 3, 1, 3, 3, 1, 0, 4, 2, 2, 4, 3, 4, 2, 3, 2, 4, 3, 0, 4, 2, 3, 2, 2, 0, 4, 4, 3, 3, 4, 1, 0, 1, 1, 2, 3, 1, 0, 0, 0, 3, 4, 4, 4, 1, 1, 1, 1, 4, 0, 1, 4, 2, 3, 1, 4, 1, 4, 0, 3, 4, 3, 0, 3, 2, 1, 2, 3, 3, 1, 2, 1, 3, 4, 0, 1, 1, 0, 0, 3, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 3, 0, 2, 4, 1, 4, 3, 3, 2, 2, 1, 4, 0, 0, 2, 1, 3, 0, 1, 0, 4, 1, 1, 3, 1, 3, 0, 1, 4, 0, 4, 0, 3, 1, 0, 2, 0, 2, 3, 1, 3, 0, 0, 4, 0, 3, 3, 2, 1, 2, 0, 1, 4, 3, 0, 2, 2, 2, 4, 1, 2, 2, 2, 4, 4, 4, 2, 2, 1, 1, 0, 3, 4, 0, 4, 2, 2, 2, 2, 1, 3, 3, 2, 3, 4, 0, 2, 3, 2, 2, 4, 2, 0, 2, 3, 4, 4, 1, 0, 3, 1, 0, 2, 4, 2, 3, 1, 4, 2, 2, 0, 3, 4, 0, 1, 0, 3, 3, 1, 0, 2, 1, 1, 4, 2, 4, 4, 0, 4, 2, 0, 1, 4, 1, 3, 1, 0, 2, 4, 3, 0, 2, 1, 1, 0, 1, 0, 0, 0, 4, 3, 0, 0, 2, 1, 3, 2, 1, 0, 4, 2, 0, 1, 0, 0, 2, 4, 3, 2, 0, 0, 4, 3, 3, 3, 0, 1, 3, 2, 0, 2, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 1, 4, 1, 2, 1, 1, 0, 4, 1, 3, 4, 1, 1, 4, 0, 3, 1, 0, 0, 4, 3, 3, 4, 2, 2, 3, 3, 4, 1, 0, 3, 1, 4, 2, 2, 4, 4, 4, 1, 4, 3, 3, 2, 0, 1, 1, 4, 4, 0, 1, 2, 4, 0, 4, 2, 4, 4, 3, 1, 1, 4, 3, 3, 2, 0, 4, 0, 4, 1, 3, 4, 2, 2, 1, 1, 1, 3, 1, 4, 1, 4, 2, 2]
pubkeycol1210 = [4, 2, 3, 3, 0, 0, 2, 4, 3, 0, 4, 2, 3, 0, 4, 1, 2, 3, 0, 4, 3, 0, 1, 4, 4, 0, 2, 1, 1, 4, 2, 1, 0, 2, 1, 1, 4, 4, 0, 3, 0, 1, 2, 2, 0, 3, 3, 4, 0, 1, 0, 0, 3, 0, 2, 2, 3, 3, 0, 3, 1, 1, 2, 0, 3, 2, 1, 3, 0, 0, 0, 4, 2, 4, 4, 0, 1, 3, 0, 0, 0, 3, 3, 3, 2, 4, 0, 4, 1, 1, 0, 3, 0, 2, 2, 3, 1, 3, 4, 0, 4, 3, 3, 0, 4, 4, 3, 4, 0, 1, 2, 1, 1, 0, 3, 2, 0, 1, 1, 1, 0, 3, 2, 4, 1, 1, 0, 4, 0, 1, 4, 2, 4, 4, 0, 4, 3, 3, 0, 0, 3, 0, 4, 3, 4, 0, 3, 1, 3, 0, 4, 4, 2, 0, 1, 4, 4, 4, 4, 3, 2, 4, 3, 3, 0, 1, 4, 1, 3, 1, 4, 3, 1, 4, 3, 3, 2, 1, 4, 0, 0, 3, 1, 4, 3, 3, 1, 4, 3, 1, 3, 2, 4, 4, 2, 0, 0, 0, 0, 3, 2, 0, 0, 1, 2, 1, 3, 3, 3, 2, 2, 0, 1, 1, 4, 1, 1, 2, 3, 4, 2, 3, 2, 4, 4, 4, 1, 3, 4, 4, 1, 4, 4, 2, 3, 4, 3, 0, 2, 3, 3, 1, 2, 0, 4, 1, 0, 0, 0, 4, 1, 4, 0, 1, 3, 0, 3, 2, 4, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 3, 3, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 3, 4, 4, 1, 2, 4, 0, 1, 2, 1, 4, 3, 2, 4, 2, 1, 1, 4, 4, 0, 4, 1, 1, 0, 0, 3, 1, 0, 4, 0, 4, 4, 1, 4, 2, 0, 2, 3, 3, 2, 1, 2, 4, 0, 0, 0, 2, 3, 4, 3, 0, 4, 2, 2, 3, 1, 3, 1, 0, 2, 3, 3, 3, 4, 2, 0, 0, 1, 1, 0, 4, 4, 4, 2, 4, 2, 4, 0, 2, 4, 3, 3, 2, 2, 0, 0, 3, 4, 1, 1, 1, 0, 1, 4, 4, 2, 2, 4, 3, 2, 2, 3, 1, 0, 4, 3, 0, 4, 4, 3, 2, 0, 4, 0, 1, 0, 3, 2]
pubkeycol1211 = [4, 3, 3, 1, 1, 1, 3, 1, 4, 2, 2, 4, 1, 2, 3, 4, 3, 4, 4, 0, 0, 2, 2, 4, 4, 4, 0, 3, 1, 1, 3, 3, 0, 0, 2, 0, 0, 0, 1, 2, 0, 3, 2, 1, 2, 2, 0, 3, 2, 1, 3, 2, 1, 1, 2, 1, 2, 0, 4, 2, 3, 2, 1, 3, 1, 1, 3, 3, 0, 4, 1, 4, 2, 2, 1, 1, 2, 2, 0, 3, 0, 0, 4, 0, 1, 4, 4, 4, 3, 1, 0, 4, 4, 3, 4, 4, 3, 2, 0, 2, 2, 1, 4, 1, 2, 2, 1, 0, 1, 2, 2, 1, 3, 3, 4, 2, 0, 3, 3, 2, 2, 2, 4, 3, 0, 2, 3, 1, 0, 4, 3, 1, 2, 2, 4, 1, 3, 4, 2, 3, 3, 4, 0, 0, 2, 0, 0, 4, 1, 4, 3, 2, 3, 4, 4, 3, 0, 4, 2, 1, 4, 3, 2, 1, 1, 1, 4, 2, 1, 4, 0, 1, 0, 2, 2, 4, 0, 1, 0, 0, 4, 3, 1, 3, 4, 3, 1, 0, 2, 1, 2, 3, 1, 1, 1, 4, 1, 0, 4, 2, 0, 3, 3, 4, 4, 2, 1, 1, 2, 2, 3, 1, 1, 0, 0, 4, 1, 1, 3, 1, 2, 3, 3, 2, 2, 3, 4, 1, 1, 0, 0, 2, 4, 4, 3, 3, 3, 2, 0, 2, 2, 0, 2, 2, 3, 3, 0, 4, 1, 3, 2, 2, 3, 0, 3, 2, 0, 3, 2, 3, 3, 1, 2, 4, 3, 4, 3, 1, 4, 3, 4, 1, 2, 3, 2, 1, 2, 0, 4, 4, 0, 1, 4, 0, 2, 3, 2, 3, 0, 0, 1, 4, 0, 3, 3, 0, 1, 1, 2, 0, 1, 3, 1, 3, 3, 0, 3, 1, 0, 1, 3, 2, 3, 3, 1, 2, 0, 3, 4, 4, 3, 0, 2, 3, 0, 4, 0, 4, 3, 1, 1, 1, 0, 3, 3, 1, 3, 4, 1, 3, 2, 4, 0, 1, 1, 2, 4, 3, 0, 1, 0, 0, 4, 4, 2, 1, 4, 0, 1, 4, 3, 3, 4, 4, 4, 3, 2, 1, 3, 0, 3, 4, 4, 4, 2, 4, 3, 1, 4, 2, 0, 4, 0, 1, 0, 2, 3, 3, 2, 4, 0, 1, 3, 3, 3, 3, 2, 2, 1, 4]
pubkeycol1212 = [4, 2, 2, 1, 0, 4, 4, 4, 3, 1, 4, 1, 0, 3, 2, 2, 0, 1, 1, 3, 2, 1, 4, 4, 4, 2, 4, 2, 4, 4, 2, 4, 4, 4, 1, 1, 4, 2, 1, 1, 2, 4, 0, 2, 3, 3, 0, 4, 2, 2, 1, 3, 0, 2, 2, 4, 3, 2, 4, 4, 4, 2, 4, 3, 3, 3, 0, 0, 0, 1, 2, 0, 1, 3, 1, 4, 3, 4, 2, 4, 2, 3, 4, 3, 2, 2, 0, 1, 3, 3, 1, 0, 1, 0, 3, 4, 1, 0, 4, 3, 4, 3, 4, 4, 2, 0, 2, 2, 1, 2, 0, 2, 4, 0, 0, 3, 4, 0, 1, 1, 1, 2, 2, 0, 4, 0, 2, 2, 1, 4, 2, 1, 1, 4, 3, 3, 3, 0, 0, 0, 1, 2, 3, 4, 1, 2, 1, 0, 0, 1, 4, 4, 4, 4, 0, 4, 3, 4, 1, 4, 2, 4, 1, 1, 4, 0, 2, 3, 4, 1, 0, 0, 2, 0, 1, 1, 4, 4, 2, 4, 2, 3, 0, 4, 0, 1, 3, 2, 2, 3, 2, 4, 0, 2, 4, 4, 4, 1, 0, 3, 2, 1, 4, 1, 3, 0, 3, 0, 3, 1, 0, 2, 0, 4, 2, 3, 1, 4, 4, 2, 1, 0, 0, 1, 1, 0, 3, 1, 0, 0, 2, 4, 4, 2, 4, 4, 4, 4, 4, 4, 2, 3, 3, 3, 1, 1, 2, 4, 0, 3, 2, 1, 0, 3, 4, 0, 0, 3, 0, 1, 1, 1, 2, 3, 1, 1, 1, 4, 3, 3, 2, 3, 2, 2, 2, 3, 0, 2, 2, 2, 2, 0, 4, 4, 1, 0, 1, 1, 2, 2, 2, 1, 4, 4, 0, 4, 1, 0, 1, 3, 4, 3, 4, 4, 4, 0, 3, 0, 2, 3, 2, 3, 0, 4, 2, 1, 2, 3, 2, 4, 3, 2, 1, 0, 3, 1, 2, 0, 3, 1, 2, 4, 3, 0, 0, 3, 3, 0, 3, 2, 2, 1, 2, 1, 1, 3, 4, 3, 2, 4, 3, 0, 3, 1, 2, 2, 4, 4, 4, 0, 2, 0, 0, 4, 1, 4, 1, 4, 2, 3, 1, 1, 1, 1, 4, 2, 3, 4, 0, 2, 0, 3, 4, 0, 0, 0, 4, 3, 1, 4, 1, 2, 3, 3, 3, 3, 3, 2, 0, 0]
pubkeycol1213 = [2, 2, 4, 4, 4, 1, 2, 4, 4, 1, 0, 1, 3, 1, 3, 2, 1, 4, 3, 3, 0, 3, 1, 3, 3, 0, 1, 1, 3, 3, 4, 1, 0, 1, 1, 4, 4, 1, 2, 4, 2, 3, 2, 4, 4, 4, 0, 2, 4, 1, 0, 4, 1, 0, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 4, 1, 3, 2, 3, 4, 2, 1, 4, 2, 3, 1, 0, 4, 3, 1, 0, 1, 4, 3, 4, 0, 3, 3, 4, 2, 3, 3, 3, 2, 1, 2, 2, 4, 2, 0, 4, 2, 1, 1, 4, 0, 3, 0, 4, 2, 0, 0, 4, 0, 4, 1, 3, 1, 1, 2, 3, 2, 2, 3, 1, 4, 3, 0, 3, 0, 2, 4, 0, 2, 1, 4, 0, 0, 2, 2, 0, 2, 3, 1, 4, 2, 4, 2, 2, 0, 0, 3, 0, 1, 2, 4, 2, 2, 1, 1, 3, 0, 2, 3, 2, 1, 3, 4, 3, 0, 1, 3, 1, 1, 1, 1, 0, 1, 3, 3, 0, 1, 3, 4, 1, 4, 0, 0, 2, 4, 2, 3, 0, 1, 4, 1, 1, 3, 2, 2, 1, 2, 4, 4, 4, 2, 2, 1, 1, 2, 4, 3, 2, 3, 4, 2, 3, 0, 0, 2, 1, 3, 4, 2, 1, 3, 0, 0, 4, 4, 4, 3, 4, 1, 3, 4, 3, 3, 1, 3, 0, 2, 1, 0, 1, 0, 4, 3, 1, 2, 4, 4, 0, 4, 0, 1, 2, 3, 2, 4, 0, 1, 4, 2, 4, 2, 2, 1, 3, 0, 2, 2, 3, 4, 2, 1, 4, 4, 4, 3, 3, 1, 2, 4, 4, 3, 0, 1, 0, 0, 3, 4, 4, 1, 4, 0, 3, 1, 3, 4, 1, 3, 0, 4, 1, 2, 0, 3, 4, 1, 2, 4, 1, 4, 3, 1, 1, 3, 3, 3, 2, 4, 2, 0, 4, 3, 0, 1, 2, 0, 2, 3, 4, 4, 0, 2, 2, 3, 1, 4, 2, 3, 3, 3, 2, 2, 3, 4, 2, 0, 0, 0, 2, 4, 2, 2, 3, 0, 4, 3, 2, 0, 2, 1, 0, 4, 3, 3, 2, 3, 2, 1, 1, 4, 2, 1, 3, 4, 4, 4, 2, 3, 2, 4, 3, 1, 0, 2, 0, 3, 0, 1, 1, 1, 1, 0, 3, 0, 3, 1]
pubkeycol1214 = [4, 2, 2, 0, 3, 0, 2, 2, 4, 4, 3, 3, 0, 3, 3, 1, 1, 2, 0, 3, 3, 2, 2, 0, 3, 4, 4, 4, 4, 1, 3, 4, 3, 0, 4, 3, 0, 1, 4, 1, 1, 3, 4, 1, 3, 1, 0, 1, 0, 3, 1, 4, 0, 1, 3, 0, 1, 2, 1, 2, 2, 4, 4, 4, 2, 4, 4, 4, 1, 2, 0, 0, 1, 2, 4, 0, 2, 3, 4, 1, 4, 2, 2, 4, 3, 2, 4, 2, 2, 3, 0, 4, 3, 1, 1, 2, 0, 3, 4, 1, 0, 2, 0, 4, 3, 3, 4, 1, 1, 2, 3, 0, 3, 4, 4, 1, 1, 0, 2, 0, 1, 3, 4, 3, 4, 1, 0, 1, 3, 1, 3, 3, 0, 4, 1, 3, 2, 0, 3, 1, 1, 4, 2, 3, 0, 1, 2, 4, 3, 0, 2, 0, 1, 1, 4, 0, 3, 1, 1, 0, 4, 2, 2, 0, 3, 0, 1, 1, 4, 2, 2, 4, 3, 0, 3, 0, 4, 3, 2, 0, 0, 4, 2, 3, 2, 1, 3, 2, 4, 3, 4, 2, 1, 0, 0, 4, 1, 3, 4, 3, 4, 2, 0, 3, 3, 3, 0, 2, 4, 4, 0, 4, 2, 3, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 3, 3, 2, 0, 2, 0, 2, 0, 4, 1, 3, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 4, 3, 2, 3, 2, 2, 4, 1, 2, 1, 1, 3, 0, 0, 3, 0, 3, 0, 0, 4, 3, 3, 4, 2, 0, 3, 1, 3, 3, 1, 2, 0, 1, 4, 2, 0, 4, 3, 3, 2, 2, 1, 0, 0, 4, 0, 2, 3, 0, 1, 4, 4, 0, 1, 3, 4, 2, 1, 0, 0, 0, 4, 0, 2, 2, 0, 4, 0, 1, 3, 1, 1, 0, 4, 1, 3, 0, 3, 0, 4, 3, 1, 2, 4, 1, 2, 1, 0, 2, 2, 3, 0, 3, 1, 4, 3, 2, 4, 2, 0, 2, 2, 4, 4, 2, 1, 1, 3, 0, 2, 0, 3, 1, 2, 2, 1, 2, 1, 4, 2, 1, 4, 3, 1, 1, 1, 3, 4, 1, 2, 0, 4, 0, 1, 0, 4, 4, 2, 3, 0, 0, 0, 0, 3, 0, 3, 4, 1, 0, 4, 3]
pubkeycol1215 = [3, 3, 1, 2, 0, 3, 0, 4, 0, 0, 0, 4, 4, 0, 2, 2, 1, 4, 0, 2, 1, 4, 3, 4, 3, 2, 3, 1, 1, 4, 3, 0, 1, 3, 2, 2, 1, 0, 1, 4, 2, 3, 1, 3, 1, 4, 3, 0, 1, 4, 3, 0, 0, 1, 1, 2, 1, 3, 3, 1, 3, 3, 3, 3, 0, 1, 2, 3, 1, 2, 1, 2, 0, 0, 0, 1, 1, 4, 0, 4, 1, 4, 1, 4, 2, 3, 4, 0, 1, 3, 4, 2, 3, 1, 1, 0, 3, 0, 0, 2, 0, 2, 2, 1, 1, 3, 1, 3, 2, 0, 3, 2, 0, 4, 3, 2, 1, 2, 3, 3, 0, 1, 0, 2, 4, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 3, 0, 2, 4, 3, 1, 0, 3, 4, 1, 2, 4, 3, 1, 3, 4, 1, 2, 0, 2, 1, 4, 3, 1, 1, 1, 2, 3, 0, 0, 0, 0, 1, 4, 1, 4, 3, 0, 3, 3, 4, 0, 3, 0, 3, 2, 0, 4, 2, 0, 4, 4, 4, 1, 4, 3, 3, 3, 0, 1, 3, 0, 4, 1, 2, 1, 4, 0, 1, 1, 3, 0, 0, 0, 3, 4, 2, 2, 1, 1, 2, 2, 2, 0, 0, 4, 3, 2, 1, 4, 2, 1, 2, 0, 0, 2, 0, 1, 2, 4, 0, 3, 1, 2, 0, 4, 1, 2, 1, 1, 0, 2, 3, 3, 0, 1, 4, 2, 0, 1, 3, 0, 0, 2, 1, 3, 4, 4, 0, 0, 1, 2, 2, 2, 3, 2, 4, 3, 1, 2, 4, 1, 0, 4, 4, 2, 2, 3, 0, 4, 4, 3, 3, 1, 2, 0, 3, 1, 4, 3, 0, 2, 1, 1, 4, 0, 3, 3, 2, 3, 3, 1, 0, 2, 3, 4, 1, 2, 0, 0, 0, 4, 1, 3, 0, 4, 2, 3, 4, 3, 3, 2, 1, 4, 1, 0, 2, 4, 3, 1, 3, 2, 1, 2, 2, 0, 2, 1, 1, 1, 3, 2, 0, 1, 0, 0, 4, 0, 1, 3, 4, 1, 2, 1, 3, 3, 2, 2, 2, 2, 1, 1, 2, 4, 2, 0, 4, 1, 2, 2, 4, 2, 4, 1, 4, 3, 0, 1, 0, 2, 2, 4, 3, 0, 0, 3, 3, 2, 2, 4, 2, 3, 3, 0]
pubkeycol1216 = [4, 1, 0, 3, 4, 0, 2, 2, 4, 0, 3, 3, 0, 0, 3, 1, 4, 1, 1, 2, 0, 0, 2, 1, 4, 1, 2, 1, 3, 2, 1, 4, 3, 3, 3, 3, 4, 4, 3, 1, 2, 3, 2, 1, 2, 4, 1, 0, 0, 2, 2, 1, 1, 4, 1, 0, 4, 3, 0, 4, 0, 4, 2, 3, 4, 0, 1, 3, 4, 3, 3, 1, 0, 3, 2, 0, 3, 0, 4, 1, 3, 0, 1, 1, 3, 2, 3, 0, 3, 2, 4, 0, 0, 2, 2, 3, 3, 2, 0, 4, 0, 0, 0, 2, 3, 0, 1, 4, 4, 0, 4, 1, 3, 4, 1, 3, 4, 4, 4, 3, 1, 0, 1, 4, 1, 3, 4, 1, 1, 4, 0, 4, 4, 3, 0, 2, 2, 0, 1, 4, 3, 1, 0, 0, 4, 3, 2, 4, 0, 3, 1, 4, 1, 3, 0, 0, 0, 1, 4, 1, 3, 3, 2, 4, 0, 0, 1, 1, 2, 3, 1, 2, 4, 2, 1, 0, 2, 2, 3, 0, 0, 4, 2, 4, 0, 3, 2, 0, 2, 3, 0, 1, 1, 2, 3, 1, 4, 0, 2, 3, 0, 4, 0, 3, 0, 1, 4, 1, 1, 4, 4, 3, 1, 2, 1, 3, 2, 4, 3, 4, 3, 3, 4, 1, 1, 1, 4, 4, 4, 0, 1, 0, 3, 4, 0, 0, 4, 3, 3, 1, 3, 4, 2, 2, 1, 2, 3, 1, 0, 2, 2, 1, 2, 3, 4, 1, 2, 2, 1, 4, 0, 2, 4, 0, 0, 2, 0, 4, 3, 4, 3, 4, 0, 2, 3, 0, 0, 4, 0, 1, 2, 4, 3, 3, 4, 3, 4, 3, 0, 0, 3, 2, 1, 1, 3, 4, 4, 2, 3, 1, 1, 1, 3, 0, 2, 3, 2, 0, 3, 1, 2, 4, 0, 0, 2, 0, 4, 2, 3, 4, 0, 1, 0, 1, 1, 3, 4, 1, 3, 2, 0, 2, 3, 1, 0, 1, 1, 2, 1, 2, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 2, 1, 4, 3, 1, 1, 4, 1, 2, 0, 0, 1, 3, 1, 2, 1, 0, 1, 4, 3, 0, 4, 0, 2, 2, 3, 3, 4, 0, 3, 4, 4, 1, 0, 2, 1, 2, 3, 1, 3, 4, 2, 0, 4, 4, 0, 0, 2, 2]
pubkeycol1217 = [3, 2, 1, 3, 4, 3, 3, 2, 0, 3, 3, 0, 4, 0, 4, 1, 0, 3, 2, 4, 0, 0, 4, 1, 4, 3, 1, 4, 3, 1, 0, 3, 4, 1, 0, 4, 3, 3, 1, 4, 1, 2, 2, 1, 3, 2, 0, 0, 0, 2, 1, 3, 2, 0, 2, 4, 1, 4, 1, 0, 3, 0, 1, 1, 4, 3, 3, 4, 3, 0, 3, 3, 0, 2, 2, 3, 3, 3, 3, 0, 1, 3, 2, 0, 0, 3, 2, 1, 2, 2, 2, 4, 2, 3, 1, 1, 1, 4, 4, 2, 3, 3, 2, 0, 3, 2, 1, 3, 1, 3, 2, 3, 2, 0, 3, 4, 1, 1, 3, 3, 3, 2, 3, 2, 4, 4, 1, 3, 2, 0, 4, 1, 2, 4, 4, 3, 0, 3, 2, 1, 1, 1, 4, 1, 2, 1, 2, 2, 0, 3, 4, 4, 0, 0, 2, 2, 0, 2, 2, 3, 2, 0, 4, 3, 2, 2, 4, 2, 3, 0, 4, 2, 3, 0, 4, 3, 4, 1, 0, 2, 2, 3, 1, 1, 4, 3, 2, 0, 3, 0, 4, 3, 0, 2, 3, 1, 1, 0, 1, 3, 1, 3, 3, 3, 1, 1, 2, 1, 1, 3, 3, 4, 1, 0, 2, 2, 4, 4, 0, 3, 1, 4, 2, 3, 2, 1, 1, 0, 2, 3, 2, 4, 0, 1, 0, 2, 2, 1, 3, 1, 0, 3, 4, 1, 3, 4, 0, 0, 2, 3, 3, 4, 3, 0, 3, 0, 4, 1, 4, 0, 1, 3, 3, 0, 1, 0, 2, 2, 3, 0, 0, 1, 4, 1, 4, 2, 4, 1, 1, 2, 2, 4, 0, 3, 2, 4, 0, 1, 3, 2, 1, 4, 4, 1, 1, 4, 3, 1, 2, 4, 3, 1, 0, 3, 1, 0, 1, 0, 1, 2, 3, 1, 3, 2, 0, 1, 0, 4, 4, 4, 0, 1, 1, 2, 2, 3, 1, 0, 0, 4, 2, 3, 1, 0, 3, 1, 2, 2, 2, 3, 3, 0, 3, 1, 3, 1, 0, 3, 0, 1, 4, 4, 3, 1, 3, 3, 0, 0, 2, 1, 4, 1, 3, 1, 2, 2, 1, 1, 1, 1, 3, 0, 3, 2, 0, 3, 2, 2, 1, 0, 4, 4, 3, 1, 1, 4, 2, 2, 2, 1, 4, 1, 4, 4, 3, 0, 4, 2, 0, 1]
pubkeycol1218 = [1, 4, 0, 0, 1, 1, 0, 3, 4, 2, 4, 3, 3, 3, 1, 0, 3, 3, 0, 4, 4, 4, 0, 4, 1, 0, 2, 2, 4, 2, 1, 2, 2, 0, 4, 1, 1, 3, 2, 4, 2, 2, 2, 0, 3, 4, 1, 4, 2, 2, 0, 4, 3, 2, 1, 3, 4, 1, 3, 0, 0, 3, 3, 2, 3, 2, 3, 0, 0, 0, 2, 2, 0, 1, 1, 3, 3, 2, 4, 1, 4, 2, 0, 3, 2, 3, 0, 4, 3, 3, 3, 3, 4, 3, 4, 4, 0, 2, 0, 0, 1, 0, 2, 2, 3, 4, 4, 0, 4, 4, 4, 4, 0, 4, 2, 4, 0, 1, 3, 4, 1, 0, 1, 3, 4, 1, 4, 4, 1, 2, 0, 2, 4, 4, 0, 0, 0, 0, 4, 3, 0, 2, 0, 2, 1, 4, 0, 3, 1, 0, 0, 0, 4, 3, 1, 2, 3, 1, 4, 0, 0, 3, 4, 1, 4, 2, 3, 4, 2, 2, 0, 1, 0, 1, 4, 4, 0, 1, 1, 3, 4, 1, 1, 2, 1, 3, 1, 3, 0, 3, 1, 1, 3, 0, 2, 1, 2, 4, 2, 0, 2, 4, 0, 0, 3, 2, 3, 3, 4, 2, 4, 3, 4, 1, 4, 4, 0, 1, 4, 1, 2, 2, 1, 2, 2, 2, 2, 4, 2, 3, 2, 1, 1, 4, 2, 0, 0, 3, 2, 0, 3, 3, 4, 0, 0, 3, 1, 4, 1, 2, 4, 2, 0, 4, 1, 3, 2, 0, 0, 1, 2, 1, 3, 1, 2, 2, 2, 0, 3, 4, 0, 0, 0, 4, 1, 0, 3, 2, 4, 4, 4, 2, 0, 3, 1, 1, 2, 2, 2, 1, 2, 2, 4, 0, 2, 0, 4, 2, 0, 3, 4, 4, 0, 3, 1, 0, 4, 3, 2, 3, 0, 2, 1, 2, 3, 2, 2, 2, 4, 1, 3, 4, 1, 3, 3, 0, 0, 1, 2, 4, 0, 2, 4, 1, 1, 1, 1, 0, 1, 2, 3, 3, 0, 1, 4, 2, 3, 1, 0, 4, 4, 2, 1, 3, 4, 1, 4, 0, 1, 0, 2, 3, 3, 3, 4, 1, 1, 4, 4, 1, 0, 3, 1, 4, 0, 2, 2, 3, 4, 1, 1, 2, 1, 1, 3, 4, 3, 3, 4, 0, 3, 2, 1, 3, 1, 3, 4, 0, 0, 0]
pubkeycol1219 = [4, 3, 3, 2, 3, 0, 4, 0, 1, 2, 0, 2, 4, 4, 0, 2, 0, 3, 2, 3, 4, 0, 1, 0, 2, 0, 2, 0, 0, 4, 1, 1, 1, 1, 4, 0, 1, 3, 3, 1, 0, 0, 0, 3, 4, 0, 0, 0, 2, 4, 2, 4, 4, 3, 2, 1, 0, 3, 4, 0, 0, 1, 2, 2, 4, 1, 3, 1, 3, 3, 0, 4, 4, 1, 3, 1, 4, 1, 1, 1, 3, 2, 0, 0, 1, 3, 2, 4, 3, 3, 4, 3, 1, 1, 4, 3, 1, 3, 3, 4, 3, 3, 3, 3, 4, 0, 0, 3, 2, 3, 4, 2, 3, 0, 0, 4, 2, 4, 4, 3, 0, 2, 0, 2, 3, 0, 0, 4, 3, 4, 2, 0, 1, 1, 2, 4, 1, 4, 1, 4, 4, 2, 4, 2, 3, 0, 0, 1, 0, 4, 1, 4, 3, 3, 1, 0, 4, 0, 1, 0, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 3, 4, 0, 4, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 4, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 4, 4, 4, 4, 4, 1, 2, 0, 0, 3, 0, 0, 1, 4, 3, 3, 4, 3, 1, 1, 3, 0, 1, 2, 4, 2, 3, 4, 2, 1, 4, 3, 1, 0, 3, 3, 0, 3, 0, 3, 2, 4, 4, 2, 2, 4, 0, 4, 3, 0, 2, 0, 4, 2, 2, 1, 0, 1, 4, 3, 4, 2, 3, 3, 3, 3, 1, 1, 3, 2, 1, 4, 0, 1, 0, 1, 2, 2, 0, 2, 0, 3, 1, 3, 0, 3, 0, 1, 2, 0, 3, 2, 1, 2, 0, 1, 3, 3, 3, 0, 4, 3, 2, 4, 3, 2, 4, 4, 1, 4, 1, 3, 3, 1, 3, 0, 2, 2, 2, 3, 3, 2, 4, 4, 4, 2, 2, 4, 2, 0, 0, 4, 1, 1, 4, 4, 3, 3, 2, 2, 4, 3, 0, 4, 3, 4, 0, 4, 0, 0, 4, 2, 2, 3, 2, 0, 0, 2, 1, 1, 2, 2, 4, 3, 3, 3, 4, 3, 0, 3, 3, 3, 4, 2, 3, 1, 4, 3, 1, 1, 0, 3, 3, 2, 1, 3, 1, 0, 1, 0, 1, 0, 0, 3, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1]
pubkeycol1220 = [4, 0, 3, 2, 4, 3, 4, 2, 0, 1, 3, 2, 0, 4, 2, 1, 1, 0, 1, 1, 1, 3, 1, 1, 0, 3, 2, 0, 2, 3, 4, 0, 4, 2, 4, 3, 2, 2, 3, 1, 1, 2, 3, 1, 3, 4, 3, 0, 4, 3, 0, 2, 1, 1, 4, 3, 2, 0, 3, 2, 2, 3, 3, 2, 3, 2, 2, 4, 1, 3, 1, 4, 1, 0, 0, 2, 2, 0, 2, 4, 4, 3, 1, 0, 3, 4, 0, 0, 1, 0, 3, 0, 4, 3, 1, 3, 3, 3, 2, 0, 4, 0, 2, 0, 4, 2, 4, 1, 4, 2, 4, 1, 1, 1, 1, 2, 3, 3, 3, 2, 2, 2, 4, 2, 4, 1, 2, 2, 0, 0, 2, 0, 4, 3, 4, 1, 0, 0, 2, 3, 0, 4, 2, 3, 3, 1, 0, 1, 2, 3, 3, 0, 3, 0, 0, 4, 0, 4, 1, 3, 3, 3, 0, 2, 3, 0, 0, 4, 0, 3, 3, 2, 1, 2, 4, 4, 0, 4, 1, 2, 1, 2, 1, 1, 0, 3, 4, 2, 3, 1, 1, 2, 3, 0, 1, 4, 4, 2, 2, 4, 4, 1, 2, 0, 3, 4, 0, 0, 2, 2, 3, 0, 0, 2, 0, 2, 1, 4, 1, 1, 3, 3, 1, 2, 1, 1, 1, 0, 1, 4, 2, 4, 4, 3, 0, 2, 1, 1, 0, 1, 4, 2, 1, 3, 2, 1, 3, 3, 3, 4, 0, 1, 4, 0, 3, 4, 4, 2, 2, 0, 3, 1, 2, 4, 1, 1, 0, 2, 1, 0, 3, 4, 3, 3, 0, 0, 0, 4, 1, 1, 0, 4, 0, 2, 3, 0, 2, 1, 2, 4, 3, 0, 3, 4, 4, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 2, 2, 2, 1, 3, 2, 3, 2, 0, 4, 4, 2, 1, 4, 0, 0, 0, 4, 1, 2, 3, 0, 0, 3, 1, 3, 1, 0, 2, 4, 0, 2, 1, 2, 4, 3, 3, 3, 4, 2, 3, 3, 0, 2, 2, 2, 0, 3, 4, 4, 3, 3, 2, 3, 4, 4, 1, 2, 1, 3, 0, 1, 1, 2, 1, 4, 4, 1, 4, 4, 4, 2, 3, 1, 1, 4, 3, 1, 3, 3, 3, 1, 1, 0, 3, 1, 0, 0, 3, 3, 4, 1, 1, 3]
pubkeycol1221 = [0, 2, 1, 3, 1, 3, 4, 2, 3, 4, 1, 3, 3, 1, 4, 1, 4, 1, 4, 1, 2, 3, 0, 0, 2, 4, 0, 1, 3, 1, 1, 1, 2, 4, 3, 3, 1, 4, 4, 0, 0, 2, 2, 4, 1, 3, 4, 1, 1, 4, 3, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 4, 2, 1, 4, 4, 3, 4, 1, 0, 4, 4, 1, 2, 4, 3, 2, 3, 1, 3, 4, 3, 4, 0, 3, 4, 4, 3, 4, 4, 3, 1, 2, 1, 2, 0, 3, 0, 3, 3, 4, 2, 0, 4, 2, 1, 2, 0, 2, 4, 2, 2, 0, 1, 4, 0, 0, 2, 0, 3, 2, 1, 3, 4, 1, 1, 2, 4, 3, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 3, 3, 2, 0, 2, 1, 0, 0, 2, 0, 0, 3, 4, 0, 1, 3, 0, 0, 1, 1, 2, 0, 4, 3, 3, 0, 3, 0, 2, 3, 2, 4, 4, 0, 2, 3, 0, 4, 0, 3, 1, 2, 4, 3, 3, 1, 4, 1, 1, 2, 3, 1, 4, 3, 2, 0, 4, 0, 0, 2, 3, 3, 2, 3, 1, 2, 0, 3, 3, 4, 4, 0, 3, 1, 2, 3, 3, 3, 2, 4, 3, 3, 4, 3, 4, 4, 1, 1, 4, 2, 3, 1, 1, 1, 3, 0, 4, 0, 2, 2, 0, 2, 4, 1, 0, 2, 0, 4, 0, 3, 0, 0, 3, 1, 0, 3, 0, 3, 1, 4, 2, 2, 4, 4, 4, 1, 0, 0, 4, 1, 2, 1, 3, 4, 1, 1, 1, 0, 2, 0, 0, 1, 4, 4, 4, 0, 4, 0, 4, 1, 4, 2, 1, 4, 1, 2, 2, 0, 3, 0, 2, 2, 4, 0, 4, 2, 3, 1, 3, 3, 1, 1, 2, 0, 4, 0, 4, 4, 3, 0, 2, 1, 2, 0, 2, 4, 0, 4, 0, 2, 2, 2, 0, 4, 4, 3, 2, 2, 4, 3, 4, 2, 4, 4, 1, 1, 3, 1, 2, 1, 2, 1, 1, 0, 3, 2, 3, 0, 4, 2, 4, 3, 4, 3, 1, 2, 0, 3, 1, 4, 4, 3, 3, 4, 2, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 3, 1, 1, 0, 0, 3, 4, 0, 0, 1, 2]
pubkeycol1222 = [4, 4, 4, 1, 0, 4, 2, 4, 4, 0, 2, 4, 1, 3, 1, 0, 2, 2, 1, 4, 1, 4, 1, 2, 2, 3, 2, 4, 1, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 4, 2, 1, 3, 4, 0, 0, 3, 0, 0, 3, 0, 2, 2, 2, 0, 0, 0, 3, 4, 0, 2, 0, 2, 3, 0, 2, 4, 0, 1, 2, 1, 3, 4, 4, 2, 3, 1, 2, 0, 0, 0, 4, 3, 4, 0, 0, 3, 1, 2, 3, 1, 4, 2, 3, 0, 2, 2, 3, 2, 1, 4, 4, 0, 4, 3, 2, 1, 4, 2, 3, 4, 4, 1, 2, 0, 3, 2, 4, 0, 2, 0, 0, 0, 2, 4, 1, 0, 2, 2, 3, 1, 4, 3, 0, 3, 2, 3, 3, 2, 3, 0, 4, 2, 1, 3, 2, 1, 3, 4, 1, 2, 0, 1, 2, 2, 2, 2, 0, 4, 4, 4, 2, 1, 0, 3, 0, 4, 1, 4, 0, 0, 0, 2, 3, 0, 1, 4, 3, 3, 4, 2, 2, 3, 4, 1, 3, 4, 0, 3, 3, 4, 2, 1, 3, 2, 4, 4, 3, 1, 2, 0, 3, 4, 3, 2, 4, 1, 0, 0, 1, 1, 0, 3, 3, 2, 2, 1, 1, 0, 1, 1, 1, 3, 4, 1, 0, 1, 4, 4, 3, 3, 1, 0, 0, 4, 0, 3, 3, 1, 3, 3, 2, 4, 3, 1, 0, 3, 0, 4, 3, 2, 2, 2, 4, 2, 4, 3, 0, 0, 2, 4, 1, 4, 4, 3, 0, 3, 1, 2, 2, 0, 2, 0, 3, 2, 0, 1, 1, 0, 0, 0, 0, 1, 3, 0, 2, 2, 3, 4, 0, 3, 3, 2, 0, 4, 0, 3, 1, 0, 1, 4, 2, 4, 4, 2, 1, 4, 1, 0, 2, 0, 1, 1, 4, 3, 3, 4, 1, 4, 3, 3, 4, 2, 0, 0, 0, 2, 2, 0, 4, 3, 2, 0, 0, 0, 4, 1, 3, 3, 0, 3, 2, 1, 1, 2, 4, 2, 3, 3, 4, 1, 2, 0, 2, 3, 3, 2, 3, 3, 3, 3, 3, 0, 2, 3, 1, 2, 3, 1, 3, 4, 0, 3, 1, 3, 4, 4, 3, 0, 2, 3, 2, 4, 0, 0, 2, 4, 3, 4, 3, 3, 3, 2, 2, 2, 2, 1, 2, 0, 0]
pubkeycol1223 = [3, 2, 3, 0, 4, 2, 2, 4, 2, 1, 0, 2, 0, 1, 0, 4, 3, 4, 4, 0, 1, 4, 3, 2, 4, 1, 1, 0, 0, 1, 4, 3, 4, 0, 0, 3, 2, 0, 1, 4, 1, 1, 0, 3, 0, 4, 2, 3, 0, 4, 4, 2, 2, 1, 2, 0, 0, 1, 0, 0, 3, 3, 1, 0, 4, 1, 3, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 1, 0, 4, 4, 2, 4, 2, 2, 4, 0, 4, 3, 4, 0, 0, 0, 4, 1, 0, 4, 1, 3, 3, 0, 2, 0, 2, 3, 1, 1, 2, 0, 0, 4, 0, 0, 4, 0, 0, 1, 1, 4, 4, 1, 1, 0, 2, 2, 3, 3, 1, 0, 4, 3, 1, 2, 1, 4, 4, 0, 1, 3, 2, 0, 2, 1, 3, 1, 2, 0, 4, 0, 1, 4, 1, 3, 2, 1, 1, 2, 3, 1, 3, 3, 4, 2, 1, 3, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 4, 1, 1, 4, 3, 2, 0, 1, 0, 1, 3, 2, 3, 3, 1, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 4, 2, 1, 4, 4, 0, 0, 2, 1, 3, 1, 1, 0, 2, 2, 2, 4, 2, 0, 2, 3, 3, 2, 1, 4, 1, 4, 0, 1, 0, 1, 1, 3, 4, 2, 2, 2, 3, 1, 4, 3, 3, 1, 3, 4, 0, 4, 1, 3, 3, 4, 4, 4, 3, 4, 3, 2, 4, 3, 2, 4, 1, 2, 0, 0, 4, 1, 3, 1, 3, 1, 3, 4, 1, 1, 1, 4, 2, 3, 2, 1, 2, 2, 4, 0, 4, 0, 1, 3, 3, 4, 1, 1, 1, 1, 2, 4, 0, 2, 4, 1, 4, 2, 0, 0, 1, 0, 4, 2, 1, 2, 1, 4, 3, 1, 1, 1, 3, 0, 4, 2, 2, 0, 2, 2, 2, 3, 0, 0, 3, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 3, 0, 1, 2, 2, 4, 4, 3, 4, 2, 4, 4, 3, 4, 4, 3, 0, 3, 0, 3, 4, 4, 3, 1, 0, 0, 0, 3, 1, 4, 1, 4, 0, 3, 3, 1, 0, 2, 4, 4, 1, 0, 0, 3, 4, 1, 0, 3, 3, 2, 3, 3, 3, 1, 1, 2, 3, 4]
pubkeycol1224 = [2, 3, 2, 0, 3, 0, 4, 1, 1, 1, 0, 0, 1, 2, 3, 2, 3, 4, 4, 1, 1, 0, 3, 3, 3, 0, 3, 0, 2, 1, 2, 1, 3, 0, 0, 1, 0, 0, 4, 2, 0, 4, 4, 3, 3, 1, 4, 4, 2, 2, 4, 0, 3, 0, 2, 3, 4, 2, 1, 0, 2, 0, 2, 1, 0, 4, 1, 1, 0, 3, 0, 3, 2, 2, 0, 2, 4, 2, 4, 1, 2, 4, 2, 2, 2, 1, 2, 2, 4, 3, 1, 1, 2, 2, 4, 0, 4, 3, 1, 3, 1, 4, 1, 3, 2, 1, 3, 2, 0, 0, 2, 2, 1, 3, 3, 1, 4, 4, 3, 0, 2, 0, 2, 4, 1, 3, 4, 2, 0, 1, 2, 2, 0, 3, 0, 2, 3, 1, 1, 0, 4, 4, 2, 0, 2, 0, 0, 4, 4, 2, 4, 1, 4, 2, 2, 4, 2, 1, 4, 3, 0, 1, 2, 4, 4, 1, 1, 1, 4, 0, 4, 4, 4, 3, 4, 1, 1, 3, 3, 3, 3, 0, 1, 3, 4, 3, 0, 1, 1, 4, 1, 3, 1, 2, 3, 2, 1, 0, 2, 2, 1, 3, 3, 0, 3, 2, 1, 4, 1, 0, 4, 4, 1, 2, 4, 3, 3, 4, 1, 4, 4, 3, 1, 4, 4, 3, 3, 1, 2, 4, 2, 3, 4, 3, 4, 0, 0, 3, 2, 4, 0, 1, 1, 3, 2, 0, 0, 2, 4, 4, 0, 3, 2, 0, 3, 0, 2, 4, 2, 2, 2, 2, 1, 3, 2, 4, 0, 4, 3, 2, 4, 4, 4, 4, 3, 4, 2, 3, 3, 4, 3, 1, 2, 0, 0, 1, 3, 3, 1, 3, 4, 4, 4, 0, 1, 1, 2, 3, 0, 3, 1, 4, 0, 1, 1, 2, 0, 4, 3, 3, 3, 2, 3, 1, 2, 4, 1, 0, 2, 0, 2, 2, 3, 2, 0, 1, 3, 0, 2, 3, 0, 4, 1, 2, 1, 0, 1, 4, 2, 1, 1, 3, 4, 3, 4, 0, 2, 3, 0, 1, 3, 4, 0, 2, 3, 3, 3, 2, 3, 1, 4, 0, 2, 1, 2, 4, 1, 1, 0, 1, 0, 4, 0, 4, 0, 3, 4, 4, 2, 1, 3, 1, 1, 3, 4, 4, 2, 4, 2, 3, 1, 4, 4, 4, 2, 2, 3, 1, 2, 2]
pubkeycol1225 = [4, 4, 1, 2, 2, 2, 0, 0, 2, 2, 2, 4, 3, 4, 4, 4, 0, 4, 2, 0, 3, 0, 3, 1, 3, 2, 1, 2, 2, 3, 1, 0, 0, 3, 3, 1, 1, 1, 2, 1, 3, 0, 4, 2, 3, 4, 0, 0, 4, 2, 0, 2, 1, 4, 0, 2, 2, 3, 2, 3, 0, 4, 1, 4, 4, 3, 2, 4, 2, 4, 1, 1, 3, 1, 4, 0, 0, 3, 1, 2, 0, 0, 3, 3, 4, 2, 2, 2, 4, 1, 0, 4, 0, 0, 0, 1, 2, 0, 0, 0, 3, 0, 2, 3, 0, 2, 3, 2, 4, 3, 2, 4, 3, 4, 4, 4, 0, 2, 3, 0, 2, 0, 4, 2, 3, 0, 3, 4, 1, 0, 4, 3, 0, 0, 2, 4, 2, 3, 1, 1, 1, 0, 4, 4, 1, 3, 0, 1, 1, 3, 3, 4, 0, 0, 2, 1, 3, 3, 2, 4, 3, 0, 0, 4, 0, 4, 4, 4, 3, 4, 2, 0, 1, 3, 2, 1, 2, 4, 2, 3, 4, 3, 3, 2, 3, 4, 2, 2, 4, 3, 1, 3, 1, 1, 4, 1, 2, 4, 3, 2, 4, 1, 4, 2, 0, 3, 3, 4, 0, 0, 3, 1, 1, 2, 2, 3, 1, 1, 3, 2, 0, 0, 1, 2, 2, 4, 0, 2, 0, 0, 0, 4, 0, 3, 0, 3, 2, 2, 1, 2, 4, 0, 1, 1, 0, 1, 0, 3, 0, 0, 3, 3, 4, 4, 0, 4, 0, 4, 3, 4, 3, 4, 3, 0, 0, 0, 3, 4, 2, 3, 2, 1, 0, 0, 1, 0, 2, 1, 0, 4, 0, 2, 1, 4, 3, 0, 1, 1, 1, 1, 2, 1, 0, 3, 1, 4, 0, 3, 2, 2, 4, 3, 2, 2, 3, 2, 2, 1, 3, 1, 1, 1, 4, 2, 0, 0, 4, 2, 2, 2, 2, 2, 3, 4, 3, 1, 4, 2, 2, 2, 0, 3, 0, 4, 2, 4, 3, 2, 4, 1, 1, 4, 1, 2, 3, 3, 3, 0, 4, 2, 0, 0, 1, 2, 4, 2, 4, 1, 0, 3, 0, 0, 2, 1, 2, 2, 2, 0, 4, 0, 2, 3, 0, 4, 1, 2, 0, 1, 3, 1, 0, 4, 3, 1, 4, 2, 1, 0, 0, 0, 0, 2, 3, 0, 4, 3, 0, 2, 1, 0]
pubkeycol1226 = [2, 1, 1, 1, 1, 0, 2, 4, 4, 4, 1, 2, 3, 2, 1, 0, 4, 1, 1, 1, 3, 4, 2, 2, 4, 1, 2, 2, 2, 3, 2, 0, 0, 1, 4, 4, 4, 2, 0, 1, 2, 0, 3, 3, 1, 4, 4, 4, 3, 4, 1, 4, 2, 2, 0, 3, 1, 0, 0, 1, 4, 4, 4, 0, 0, 4, 4, 3, 4, 4, 4, 1, 0, 2, 4, 2, 1, 0, 3, 4, 3, 4, 0, 3, 4, 4, 1, 2, 1, 2, 0, 1, 1, 1, 3, 1, 1, 2, 1, 2, 0, 3, 2, 2, 2, 0, 2, 3, 0, 4, 2, 3, 1, 0, 0, 4, 3, 3, 0, 1, 3, 4, 0, 2, 3, 4, 1, 4, 0, 1, 1, 0, 3, 2, 4, 1, 4, 4, 1, 4, 2, 3, 4, 0, 4, 1, 2, 1, 0, 0, 3, 0, 3, 0, 0, 4, 3, 3, 0, 2, 2, 0, 4, 0, 1, 0, 1, 3, 4, 2, 4, 1, 4, 0, 3, 2, 3, 0, 1, 0, 0, 1, 0, 0, 2, 3, 3, 2, 1, 0, 4, 2, 2, 1, 1, 1, 3, 1, 2, 4, 4, 4, 0, 1, 4, 1, 2, 0, 0, 3, 1, 3, 0, 1, 0, 4, 1, 4, 4, 3, 2, 1, 2, 2, 0, 0, 4, 2, 4, 0, 2, 3, 0, 4, 2, 3, 4, 2, 3, 1, 1, 0, 0, 4, 0, 2, 0, 2, 4, 0, 0, 4, 1, 1, 2, 4, 2, 2, 0, 1, 0, 4, 0, 4, 1, 3, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 1, 0, 3, 2, 2, 2, 2, 0, 4, 3, 0, 1, 0, 0, 0, 3, 0, 4, 3, 1, 1, 2, 0, 0, 0, 0, 3, 0, 3, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 3, 1, 3, 1, 3, 3, 3, 4, 2, 0, 0, 3, 3, 2, 3, 0, 2, 2, 2, 4, 1, 2, 3, 0, 2, 2, 1, 4, 0, 1, 1, 0, 2, 3, 0, 4, 1, 0, 0, 2, 1, 4, 3, 3, 3, 4, 0, 1, 4, 2, 1, 0, 0, 2, 4, 2, 3, 0, 1, 0, 4, 4, 2, 1, 3, 0, 1, 0, 0, 2, 1, 2, 4, 0, 2, 3, 2, 4, 4, 2, 0, 0, 4, 0, 1]
pubkeycol1227 = [4, 1, 0, 3, 2, 1, 4, 3, 4, 0, 1, 0, 4, 0, 2, 4, 0, 1, 4, 4, 3, 1, 2, 1, 2, 1, 2, 0, 4, 4, 1, 3, 2, 2, 1, 0, 1, 0, 4, 4, 0, 3, 0, 1, 0, 1, 1, 3, 4, 0, 3, 2, 2, 4, 1, 0, 1, 1, 1, 0, 3, 0, 1, 3, 0, 0, 3, 1, 4, 4, 2, 1, 4, 1, 1, 4, 1, 4, 0, 2, 2, 0, 4, 0, 1, 3, 1, 1, 0, 3, 2, 4, 2, 4, 2, 3, 2, 1, 1, 0, 1, 3, 0, 4, 3, 0, 0, 1, 1, 3, 0, 0, 1, 2, 3, 1, 3, 4, 1, 3, 4, 2, 1, 1, 3, 3, 4, 4, 2, 3, 0, 3, 2, 4, 2, 0, 2, 0, 3, 3, 3, 4, 0, 4, 1, 3, 1, 2, 3, 4, 0, 1, 3, 2, 4, 4, 3, 4, 3, 0, 4, 3, 3, 0, 0, 4, 0, 0, 1, 3, 0, 1, 0, 0, 1, 3, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 3, 0, 2, 1, 1, 0, 1, 1, 4, 4, 1, 3, 4, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 3, 2, 4, 0, 0, 1, 2, 0, 1, 0, 3, 2, 4, 0, 4, 1, 4, 4, 4, 1, 1, 3, 3, 3, 4, 1, 1, 2, 4, 1, 2, 1, 1, 4, 4, 0, 3, 4, 1, 4, 1, 1, 3, 0, 3, 4, 2, 0, 0, 0, 2, 3, 4, 0, 0, 4, 3, 4, 3, 3, 4, 1, 4, 4, 0, 3, 4, 2, 3, 1, 4, 0, 2, 3, 1, 3, 1, 3, 0, 2, 1, 0, 3, 2, 0, 3, 0, 0, 0, 3, 3, 3, 1, 2, 3, 2, 3, 0, 3, 2, 0, 3, 1, 1, 2, 4, 2, 4, 1, 2, 1, 4, 4, 4, 1, 3, 0, 4, 0, 3, 0, 2, 3, 3, 1, 4, 4, 3, 4, 1, 2, 4, 1, 2, 4, 0, 3, 3, 2, 3, 3, 2, 2, 0, 4, 1, 4, 2, 2, 2, 4, 2, 0, 3, 4, 1, 1, 3, 0, 4, 0, 3, 0, 4, 2, 4, 0, 2, 0, 2, 4, 4, 2, 2, 1, 3, 2, 1, 3, 4, 0, 3, 0, 1, 4, 3, 1, 4]
pubkeycol1228 = [2, 3, 3, 0, 1, 3, 2, 1, 0, 1, 4, 0, 2, 0, 2, 2, 2, 2, 3, 1, 1, 1, 2, 4, 0, 1, 4, 2, 3, 2, 1, 0, 2, 2, 2, 2, 1, 4, 1, 3, 3, 4, 1, 3, 2, 1, 1, 3, 0, 1, 1, 4, 3, 2, 0, 3, 3, 2, 0, 2, 2, 3, 4, 0, 2, 3, 2, 0, 4, 4, 2, 2, 2, 0, 2, 4, 4, 4, 2, 0, 3, 0, 4, 2, 0, 2, 0, 2, 2, 4, 1, 2, 0, 3, 2, 3, 2, 4, 2, 4, 1, 4, 0, 3, 3, 2, 1, 4, 1, 4, 2, 2, 2, 2, 4, 2, 1, 4, 3, 3, 3, 4, 0, 0, 0, 3, 1, 1, 3, 1, 0, 3, 1, 4, 4, 3, 2, 4, 1, 2, 4, 4, 1, 4, 1, 3, 1, 3, 0, 2, 2, 3, 3, 0, 1, 2, 1, 2, 3, 1, 4, 2, 2, 4, 2, 2, 2, 2, 3, 0, 3, 1, 1, 3, 4, 3, 1, 3, 1, 2, 4, 4, 0, 0, 0, 4, 2, 2, 2, 4, 4, 2, 4, 4, 3, 0, 3, 2, 2, 4, 1, 4, 2, 4, 4, 0, 4, 2, 2, 3, 2, 2, 2, 2, 3, 3, 4, 2, 4, 1, 3, 1, 0, 2, 1, 3, 4, 4, 2, 4, 0, 1, 0, 1, 4, 2, 3, 2, 1, 2, 2, 0, 1, 3, 2, 0, 1, 2, 0, 1, 4, 0, 2, 4, 0, 3, 0, 3, 2, 0, 0, 4, 1, 4, 0, 2, 2, 1, 3, 1, 3, 0, 2, 4, 2, 1, 3, 4, 0, 0, 4, 0, 1, 0, 3, 0, 1, 2, 3, 1, 0, 3, 2, 0, 2, 3, 0, 0, 1, 0, 3, 1, 3, 1, 3, 2, 4, 2, 2, 3, 0, 4, 4, 4, 3, 2, 2, 0, 3, 4, 2, 2, 3, 1, 3, 3, 4, 2, 0, 1, 2, 0, 3, 4, 2, 4, 0, 3, 2, 2, 0, 2, 1, 3, 0, 4, 4, 2, 1, 2, 3, 3, 3, 2, 3, 4, 3, 4, 1, 0, 4, 3, 4, 1, 2, 0, 4, 3, 2, 1, 3, 2, 0, 2, 1, 2, 2, 0, 4, 1, 2, 1, 4, 2, 3, 0, 0, 0, 4, 0, 1, 0, 2, 3, 4, 4, 4, 3, 3, 4]
pubkeycol1229 = [4, 3, 0, 2, 3, 0, 2, 1, 1, 0, 2, 4, 4, 3, 2, 1, 2, 0, 0, 4, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 3, 1, 0, 1, 4, 3, 1, 3, 0, 1, 3, 0, 0, 4, 0, 4, 2, 3, 0, 0, 0, 1, 4, 4, 3, 3, 3, 4, 1, 4, 3, 1, 3, 4, 4, 4, 3, 3, 3, 0, 2, 0, 3, 2, 0, 2, 0, 2, 4, 3, 4, 3, 4, 3, 2, 2, 3, 1, 2, 2, 3, 1, 0, 2, 1, 2, 3, 0, 3, 2, 3, 1, 0, 4, 3, 0, 1, 4, 4, 1, 2, 1, 1, 2, 0, 1, 4, 0, 2, 0, 2, 4, 1, 3, 1, 3, 0, 4, 4, 4, 4, 4, 4, 2, 1, 4, 0, 0, 1, 2, 3, 4, 4, 0, 2, 2, 3, 3, 4, 4, 0, 0, 4, 4, 1, 2, 2, 1, 1, 2, 2, 4, 4, 2, 4, 3, 2, 4, 0, 1, 1, 1, 2, 0, 2, 0, 2, 4, 0, 2, 0, 2, 4, 2, 1, 2, 3, 0, 4, 0, 1, 2, 0, 2, 2, 3, 4, 2, 0, 4, 2, 4, 3, 0, 0, 0, 0, 2, 4, 0, 3, 0, 1, 4, 0, 1, 1, 3, 2, 1, 4, 3, 3, 3, 3, 3, 1, 4, 3, 3, 1, 4, 0, 4, 3, 4, 2, 2, 2, 4, 1, 3, 0, 3, 0, 4, 1, 3, 0, 4, 1, 0, 4, 4, 4, 4, 2, 0, 2, 1, 1, 1, 1, 0, 4, 2, 1, 3, 2, 1, 0, 4, 0, 4, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2, 2, 3, 2, 4, 0, 3, 0, 3, 4, 3, 0, 1, 4, 2, 1, 0, 2, 4, 1, 0, 3, 4, 3, 3, 0, 2, 3, 4, 4, 1, 3, 4, 4, 2, 3, 2, 0, 4, 3, 2, 1, 3, 4, 0, 4, 0, 0, 1, 3, 2, 3, 0, 2, 0, 1, 1, 0, 0, 1, 4, 4, 4, 4, 1, 2, 1, 0, 4, 2, 4, 3, 3, 1, 0, 3, 1, 1, 4, 0, 4, 4, 3, 0, 3, 3, 4, 0, 0, 3, 0, 0, 3, 1, 0, 0, 0, 3, 1, 1, 3, 4, 4, 0, 2, 4, 1, 0, 0, 1, 3, 4, 4, 1]
pubkeycol1230 = [1, 1, 2, 2, 0, 3, 1, 0, 4, 2, 2, 0, 3, 3, 3, 0, 1, 0, 1, 0, 0, 1, 4, 2, 2, 2, 1, 0, 1, 4, 2, 4, 4, 3, 1, 2, 1, 2, 2, 3, 3, 4, 0, 2, 1, 2, 4, 3, 3, 1, 3, 2, 1, 4, 1, 0, 0, 3, 4, 2, 1, 3, 3, 1, 0, 0, 1, 1, 4, 2, 2, 4, 2, 2, 0, 1, 0, 0, 3, 0, 0, 3, 2, 4, 0, 0, 4, 2, 1, 4, 4, 1, 0, 4, 4, 0, 3, 1, 0, 2, 1, 1, 3, 1, 3, 2, 1, 3, 1, 0, 4, 3, 3, 0, 1, 4, 2, 4, 2, 4, 1, 0, 3, 0, 4, 1, 4, 4, 1, 0, 3, 2, 4, 2, 1, 4, 1, 4, 4, 3, 1, 2, 0, 3, 4, 1, 1, 4, 3, 1, 1, 4, 0, 4, 0, 0, 1, 4, 2, 0, 2, 0, 4, 1, 4, 0, 3, 0, 1, 4, 3, 2, 2, 3, 2, 1, 3, 2, 0, 0, 2, 4, 4, 2, 4, 0, 1, 3, 4, 1, 3, 3, 2, 0, 1, 0, 3, 4, 4, 1, 2, 0, 1, 4, 4, 2, 1, 3, 1, 3, 4, 4, 4, 1, 1, 3, 4, 3, 4, 2, 4, 3, 1, 4, 4, 1, 0, 3, 3, 2, 3, 1, 2, 4, 0, 2, 3, 1, 0, 1, 4, 4, 2, 3, 1, 4, 2, 4, 2, 2, 2, 3, 3, 3, 2, 0, 0, 4, 3, 0, 0, 0, 0, 1, 2, 1, 2, 1, 4, 4, 1, 0, 1, 1, 3, 1, 4, 3, 1, 4, 0, 0, 3, 3, 4, 3, 0, 4, 3, 1, 3, 2, 3, 0, 0, 1, 2, 1, 1, 0, 3, 4, 2, 2, 3, 1, 4, 0, 1, 2, 0, 2, 3, 0, 2, 1, 2, 3, 2, 0, 1, 4, 0, 3, 3, 0, 4, 0, 4, 0, 4, 2, 1, 3, 2, 3, 0, 2, 1, 2, 0, 2, 1, 4, 2, 0, 1, 0, 3, 0, 4, 3, 3, 1, 2, 3, 3, 4, 4, 1, 1, 0, 3, 4, 0, 0, 1, 0, 3, 0, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 2, 0, 4, 4, 1, 3, 3, 4, 4, 4, 4, 3]
pubkeycol1231 = [2, 3, 0, 2, 2, 1, 0, 3, 0, 4, 1, 1, 4, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 4, 3, 0, 0, 3, 1, 4, 3, 2, 3, 0, 2, 2, 2, 0, 0, 4, 4, 2, 2, 3, 0, 3, 3, 2, 0, 2, 2, 2, 0, 1, 3, 1, 4, 4, 4, 1, 0, 0, 3, 0, 0, 3, 2, 0, 1, 1, 2, 3, 3, 1, 3, 0, 2, 0, 3, 1, 4, 1, 1, 0, 2, 0, 2, 1, 3, 2, 0, 0, 0, 2, 2, 4, 4, 0, 3, 3, 1, 2, 3, 1, 0, 4, 2, 3, 3, 0, 1, 3, 1, 0, 2, 3, 1, 2, 4, 2, 1, 2, 4, 4, 0, 4, 0, 0, 0, 0, 4, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 3, 3, 0, 4, 2, 4, 3, 2, 0, 3, 4, 3, 2, 2, 0, 3, 3, 3, 0, 0, 1, 2, 0, 0, 3, 0, 1, 3, 3, 0, 3, 0, 1, 1, 0, 0, 0, 2, 4, 4, 2, 2, 3, 3, 0, 2, 4, 0, 2, 4, 1, 0, 4, 2, 0, 0, 3, 4, 3, 1, 0, 3, 3, 2, 4, 1, 1, 1, 2, 3, 4, 1, 0, 1, 3, 3, 2, 0, 3, 2, 4, 3, 3, 4, 3, 4, 3, 3, 4, 0, 0, 4, 3, 3, 1, 4, 4, 2, 0, 2, 4, 3, 1, 2, 0, 4, 2, 0, 4, 1, 1, 2, 4, 2, 4, 2, 3, 3, 2, 4, 3, 4, 0, 4, 1, 4, 0, 1, 4, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 4, 0, 3, 2, 1, 3, 2, 3, 2, 3, 4, 0, 0, 2, 4, 3, 2, 2, 4, 0, 2, 0, 1, 4, 3, 0, 4, 2, 2, 1, 1, 0, 2, 4, 0, 0, 2, 4, 3, 3, 2, 2, 0, 1, 0, 1, 0, 1, 3, 2, 3, 2, 1, 4, 4, 0, 0, 2, 3, 0, 3, 3, 1, 2, 0, 4, 4, 1, 4, 4, 0, 3, 4, 0, 3, 0, 3, 1, 4, 1, 2, 4, 1, 3, 4, 3, 4, 2, 1, 3, 1, 1, 3, 1, 0, 0, 4, 4, 1, 0, 3, 4, 2, 1, 4, 1, 3, 4, 4, 3, 4, 2, 3, 1, 4, 2]
pubkeycol1232 = [4, 1, 3, 4, 3, 0, 3, 2, 0, 3, 3, 3, 3, 3, 4, 2, 0, 4, 4, 4, 3, 4, 2, 0, 2, 2, 0, 0, 4, 3, 1, 0, 4, 3, 0, 3, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 4, 4, 1, 1, 4, 3, 1, 2, 1, 3, 0, 1, 2, 0, 2, 3, 3, 3, 1, 0, 0, 4, 4, 1, 4, 4, 4, 1, 0, 3, 2, 1, 4, 1, 0, 1, 2, 4, 4, 4, 4, 0, 0, 2, 3, 4, 0, 4, 0, 2, 1, 4, 3, 3, 2, 3, 3, 4, 1, 2, 3, 3, 3, 1, 3, 1, 4, 2, 1, 4, 4, 0, 4, 3, 4, 1, 2, 0, 3, 4, 1, 4, 1, 4, 3, 0, 4, 1, 0, 2, 1, 1, 2, 1, 2, 0, 4, 4, 0, 4, 3, 3, 2, 2, 1, 1, 0, 1, 0, 3, 2, 2, 3, 1, 2, 1, 2, 0, 0, 3, 3, 1, 0, 1, 1, 4, 3, 4, 3, 1, 1, 4, 1, 0, 1, 1, 1, 2, 2, 1, 0, 4, 4, 4, 2, 3, 1, 1, 4, 1, 1, 1, 1, 3, 0, 3, 3, 1, 4, 3, 2, 4, 4, 1, 2, 4, 4, 0, 3, 3, 1, 2, 3, 1, 4, 1, 4, 2, 3, 1, 4, 4, 3, 4, 1, 3, 4, 4, 1, 3, 4, 2, 4, 4, 1, 4, 2, 2, 0, 0, 3, 0, 4, 2, 4, 1, 1, 2, 3, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 4, 2, 3, 3, 2, 3, 1, 4, 3, 3, 1, 1, 1, 3, 4, 2, 3, 0, 4, 2, 3, 3, 4, 0, 0, 3, 1, 4, 0, 2, 3, 4, 1, 2, 0, 2, 4, 1, 4, 2, 4, 0, 1, 2, 0, 4, 4, 3, 2, 0, 0, 1, 2, 3, 3, 4, 0, 4, 0, 4, 4, 1, 2, 2, 4, 0, 2, 3, 4, 0, 0, 0, 3, 0, 3, 2, 4, 0, 2, 3, 0, 1, 2, 0, 0, 3, 1, 0, 4, 1, 1, 2, 2, 4, 1, 0, 0, 2, 2, 4, 1, 0, 0, 3, 2, 0, 4, 3, 0, 4, 4, 4, 2, 1, 4, 0, 3, 1, 3, 2, 1, 3, 1, 3, 2, 0, 4, 4, 4]
pubkeycol1233 = [3, 3, 2, 4, 4, 3, 2, 2, 1, 1, 4, 1, 2, 0, 0, 3, 1, 2, 3, 4, 2, 0, 2, 2, 0, 0, 4, 4, 0, 3, 2, 1, 1, 0, 0, 4, 2, 3, 3, 3, 3, 0, 4, 0, 3, 4, 4, 1, 4, 2, 4, 1, 1, 3, 0, 3, 0, 3, 4, 1, 3, 0, 1, 0, 0, 0, 1, 3, 2, 0, 1, 2, 3, 0, 4, 4, 0, 1, 1, 3, 1, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 4, 1, 1, 4, 3, 2, 1, 1, 4, 4, 4, 2, 1, 2, 0, 3, 0, 1, 4, 1, 1, 0, 0, 4, 2, 0, 1, 2, 1, 4, 0, 4, 0, 0, 1, 1, 3, 4, 0, 0, 2, 2, 3, 3, 4, 4, 2, 0, 0, 0, 2, 4, 0, 4, 1, 1, 3, 0, 2, 3, 4, 3, 1, 3, 4, 4, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 4, 1, 4, 4, 3, 4, 1, 2, 1, 3, 0, 2, 1, 4, 1, 4, 3, 1, 1, 0, 4, 3, 1, 4, 2, 4, 1, 2, 0, 3, 0, 1, 3, 0, 4, 3, 0, 3, 0, 3, 0, 3, 2, 3, 0, 4, 1, 3, 0, 4, 0, 0, 1, 3, 4, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 3, 0, 2, 1, 4, 4, 2, 2, 2, 1, 0, 2, 1, 4, 0, 2, 4, 1, 2, 2, 1, 0, 2, 0, 2, 1, 3, 3, 4, 3, 0, 1, 2, 1, 2, 1, 4, 3, 2, 4, 2, 0, 3, 0, 2, 1, 3, 2, 2, 0, 2, 3, 1, 2, 3, 1, 3, 3, 1, 4, 1, 4, 4, 2, 4, 4, 1, 3, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 4, 0, 3, 3, 4, 4, 0, 0, 0, 0, 2, 3, 3, 3, 0, 1, 4, 4, 1, 3, 3, 1, 0, 0, 1, 1, 0, 2, 4, 0, 3, 0, 1, 4, 3, 2, 4, 2, 0, 1, 3, 3, 1, 2, 4, 4, 2, 3, 2, 2, 0, 3, 0, 0, 2, 0, 1, 4, 3, 2, 0, 0, 2, 4, 3, 3, 0, 4, 1, 2, 2, 0, 2, 3, 3, 0, 1, 2, 4, 3, 2, 2, 2, 0]
pubkeycol1234 = [0, 3, 0, 3, 0, 4, 1, 0, 1, 4, 3, 3, 1, 2, 2, 3, 2, 1, 4, 2, 3, 1, 3, 0, 3, 0, 3, 3, 1, 4, 4, 3, 3, 1, 2, 1, 2, 4, 2, 3, 3, 4, 1, 4, 0, 2, 4, 2, 4, 0, 3, 4, 1, 2, 0, 4, 1, 4, 4, 3, 2, 3, 1, 0, 0, 4, 3, 4, 3, 0, 3, 4, 1, 3, 3, 4, 1, 2, 1, 1, 1, 0, 4, 1, 2, 0, 2, 3, 4, 1, 3, 1, 4, 2, 1, 4, 1, 0, 0, 3, 0, 2, 2, 4, 4, 3, 2, 1, 2, 0, 3, 0, 1, 0, 1, 4, 0, 3, 0, 3, 3, 4, 3, 1, 3, 2, 2, 1, 4, 2, 2, 2, 4, 0, 3, 0, 0, 3, 2, 2, 1, 2, 0, 1, 4, 2, 1, 0, 2, 0, 1, 1, 4, 1, 1, 4, 0, 3, 4, 2, 0, 1, 1, 3, 2, 4, 4, 2, 1, 3, 1, 4, 3, 0, 3, 2, 0, 4, 4, 0, 3, 3, 4, 1, 1, 1, 1, 4, 2, 2, 0, 3, 4, 2, 2, 0, 0, 1, 3, 2, 3, 4, 1, 2, 4, 3, 0, 0, 2, 2, 4, 1, 4, 0, 3, 4, 3, 2, 3, 3, 4, 0, 4, 2, 3, 1, 2, 2, 3, 2, 0, 3, 0, 4, 3, 2, 4, 3, 0, 3, 0, 3, 4, 2, 1, 2, 2, 0, 3, 1, 2, 3, 0, 0, 2, 2, 2, 1, 0, 3, 4, 4, 3, 4, 2, 4, 0, 3, 3, 2, 4, 4, 0, 2, 0, 3, 4, 4, 1, 2, 3, 0, 3, 0, 3, 3, 1, 0, 1, 4, 1, 1, 4, 0, 0, 0, 2, 2, 4, 0, 0, 4, 1, 0, 1, 1, 0, 3, 3, 0, 3, 1, 3, 2, 3, 0, 2, 4, 1, 4, 4, 2, 4, 4, 1, 1, 4, 4, 0, 4, 0, 2, 0, 1, 4, 2, 4, 4, 3, 4, 1, 0, 1, 0, 0, 4, 1, 3, 2, 3, 2, 3, 0, 2, 3, 0, 1, 2, 3, 2, 4, 4, 0, 4, 3, 4, 1, 4, 1, 1, 2, 2, 3, 2, 1, 2, 0, 4, 4, 3, 0, 1, 1, 3, 3, 4, 0, 1, 0, 4, 3, 4, 1, 3, 3, 2, 3, 4, 3, 4]
pubkeycol1235 = [3, 0, 0, 4, 2, 0, 1, 0, 1, 2, 2, 3, 2, 0, 1, 2, 2, 3, 4, 0, 0, 2, 3, 0, 3, 3, 1, 3, 0, 0, 2, 1, 3, 4, 2, 4, 2, 2, 1, 4, 4, 4, 0, 4, 4, 0, 2, 1, 4, 2, 4, 4, 3, 4, 4, 4, 3, 1, 0, 2, 0, 1, 0, 1, 1, 4, 1, 2, 2, 4, 3, 2, 0, 0, 2, 2, 1, 1, 4, 1, 3, 1, 3, 1, 3, 4, 3, 2, 2, 2, 1, 2, 3, 3, 3, 4, 2, 1, 1, 4, 2, 1, 1, 2, 4, 3, 2, 0, 1, 1, 3, 1, 0, 3, 3, 1, 4, 3, 4, 3, 2, 3, 4, 0, 1, 3, 1, 4, 0, 1, 1, 3, 3, 3, 3, 0, 2, 1, 4, 0, 0, 4, 0, 3, 4, 2, 4, 1, 4, 1, 0, 3, 3, 4, 2, 4, 0, 1, 4, 2, 4, 4, 4, 4, 0, 0, 2, 2, 2, 0, 4, 3, 2, 1, 0, 1, 4, 3, 0, 3, 2, 4, 3, 2, 3, 4, 1, 2, 0, 4, 1, 1, 3, 0, 4, 3, 2, 4, 0, 1, 0, 4, 0, 1, 3, 2, 1, 4, 3, 2, 0, 3, 3, 4, 0, 4, 1, 3, 3, 1, 1, 0, 4, 4, 1, 3, 2, 4, 3, 3, 2, 0, 0, 4, 4, 3, 3, 3, 2, 0, 0, 4, 4, 4, 0, 4, 4, 2, 3, 0, 2, 0, 1, 3, 2, 2, 2, 4, 0, 2, 0, 1, 1, 0, 4, 2, 3, 1, 0, 3, 3, 4, 4, 1, 4, 3, 3, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 1, 0, 4, 3, 0, 4, 3, 4, 4, 2, 3, 4, 3, 0, 3, 1, 4, 1, 1, 1, 0, 4, 4, 3, 1, 1, 4, 3, 3, 0, 2, 3, 1, 4, 2, 3, 0, 1, 0, 3, 2, 3, 3, 2, 0, 3, 2, 0, 1, 2, 3, 3, 1, 2, 1, 0, 0, 3, 4, 0, 1, 0, 0, 2, 1, 4, 2, 2, 4, 3, 4, 3, 2, 1, 1, 0, 4, 2, 0, 4, 1, 3, 1, 4, 1, 2, 3, 1, 3, 4, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 2, 4, 2, 3, 4, 1, 1, 3, 4, 3, 2, 0, 0]
pubkeycol1236 = [2, 4, 4, 1, 1, 3, 2, 1, 1, 4, 1, 1, 0, 1, 1, 0, 3, 2, 0, 4, 2, 2, 2, 1, 4, 0, 0, 1, 0, 3, 0, 4, 4, 3, 4, 3, 2, 3, 2, 1, 4, 1, 3, 0, 3, 3, 0, 1, 2, 0, 4, 2, 0, 2, 0, 4, 1, 0, 3, 4, 3, 3, 4, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 3, 0, 4, 0, 3, 2, 2, 4, 2, 3, 2, 4, 1, 2, 3, 2, 0, 1, 2, 3, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 3, 0, 2, 3, 1, 2, 1, 0, 1, 2, 3, 4, 2, 1, 4, 3, 3, 1, 2, 3, 2, 1, 3, 3, 4, 2, 3, 2, 1, 2, 1, 2, 0, 4, 4, 4, 3, 4, 2, 3, 3, 3, 3, 0, 4, 4, 2, 3, 4, 1, 1, 3, 0, 4, 4, 2, 1, 1, 1, 2, 1, 4, 1, 2, 3, 0, 4, 0, 0, 1, 4, 2, 0, 2, 0, 4, 0, 0, 2, 0, 4, 3, 4, 3, 3, 4, 1, 2, 0, 4, 1, 3, 2, 3, 1, 2, 4, 2, 3, 0, 2, 2, 0, 2, 0, 3, 0, 3, 0, 2, 2, 0, 4, 4, 2, 2, 0, 0, 0, 4, 2, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 3, 2, 4, 4, 4, 2, 2, 1, 2, 1, 1, 3, 3, 0, 0, 3, 4, 0, 1, 4, 0, 4, 4, 1, 1, 2, 4, 2, 2, 0, 3, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 2, 4, 0, 2, 2, 2, 1, 0, 1, 3, 4, 2, 3, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 3, 3, 1, 1, 3, 3, 3, 3, 1, 2, 0, 4, 2, 4, 0, 3, 3, 2, 3, 2, 3, 4, 4, 2, 3, 3, 4, 0, 1, 0, 0, 0, 1, 3, 2, 4, 0, 0, 1, 3, 4, 3, 2, 2, 4, 0, 1, 4, 3, 0, 1, 4, 0, 4, 2, 3, 3, 4, 0, 1, 2, 2, 4, 0, 4, 2, 2, 4, 3, 3, 0, 4, 2, 1, 3, 4, 2, 4, 3, 1, 0, 0, 0, 0, 0, 4, 2, 3, 1, 0, 3, 1, 3, 1, 2, 0, 3, 1, 1]
pubkeycol1237 = [3, 0, 3, 1, 4, 0, 3, 3, 2, 2, 1, 0, 2, 2, 4, 0, 2, 3, 0, 0, 2, 4, 2, 1, 1, 4, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 0, 2, 0, 3, 1, 1, 1, 4, 2, 0, 0, 3, 1, 3, 1, 1, 4, 0, 4, 4, 4, 1, 2, 0, 3, 3, 1, 1, 0, 1, 3, 1, 4, 0, 0, 2, 4, 4, 1, 2, 1, 4, 1, 0, 1, 3, 0, 3, 4, 4, 0, 1, 2, 3, 4, 0, 1, 1, 1, 1, 0, 0, 0, 4, 3, 3, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 4, 2, 2, 3, 1, 0, 1, 4, 2, 1, 3, 0, 0, 2, 3, 1, 4, 1, 4, 1, 0, 3, 2, 4, 2, 0, 2, 0, 2, 1, 3, 0, 2, 4, 2, 4, 2, 4, 3, 3, 4, 2, 0, 2, 4, 4, 0, 3, 2, 4, 3, 0, 3, 0, 0, 4, 0, 1, 3, 2, 1, 1, 1, 2, 1, 2, 4, 1, 2, 4, 2, 4, 2, 1, 1, 1, 4, 2, 2, 0, 2, 1, 0, 2, 3, 4, 1, 4, 0, 1, 4, 0, 3, 3, 1, 1, 1, 2, 4, 1, 1, 4, 3, 2, 3, 2, 2, 2, 1, 2, 0, 0, 3, 4, 0, 2, 1, 3, 2, 0, 2, 2, 4, 0, 1, 1, 3, 2, 1, 1, 3, 4, 1, 3, 4, 3, 4, 1, 0, 3, 0, 3, 4, 4, 4, 3, 4, 2, 2, 2, 2, 2, 1, 0, 3, 0, 0, 2, 2, 2, 3, 1, 3, 1, 2, 1, 1, 2, 0, 0, 4, 1, 3, 4, 0, 0, 0, 1, 2, 0, 0, 4, 3, 4, 0, 4, 4, 4, 4, 2, 3, 2, 0, 4, 1, 4, 3, 3, 1, 1, 4, 0, 1, 2, 4, 0, 0, 3, 1, 4, 2, 3, 0, 2, 3, 4, 4, 3, 2, 2, 2, 0, 4, 0, 4, 0, 3, 3, 1, 3, 3, 0, 3, 2, 1, 4, 0, 0, 0, 2, 1, 4, 0, 0, 3, 1, 3, 4, 0, 2, 3, 3, 2, 1, 2, 0, 1, 1, 4, 2, 0, 0, 3, 1, 4, 2, 2, 2, 1, 4, 0, 4, 4, 3, 1, 2, 1, 1, 0, 4, 1, 1, 3, 0, 2, 4, 4]
pubkeycol1238 = [0, 0, 4, 0, 4, 1, 3, 1, 3, 1, 1, 2, 4, 1, 0, 0, 1, 3, 0, 4, 1, 0, 0, 2, 1, 0, 4, 4, 4, 1, 1, 4, 3, 3, 2, 0, 4, 3, 4, 0, 3, 2, 2, 1, 4, 2, 3, 0, 3, 3, 1, 0, 2, 0, 2, 0, 4, 1, 4, 2, 4, 4, 1, 3, 4, 2, 4, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 3, 2, 4, 3, 3, 4, 0, 1, 4, 0, 3, 1, 1, 3, 0, 1, 4, 4, 3, 1, 2, 2, 3, 0, 1, 1, 2, 2, 0, 2, 4, 1, 4, 2, 0, 1, 3, 2, 0, 0, 2, 2, 3, 0, 3, 4, 3, 3, 1, 2, 1, 2, 4, 2, 3, 4, 4, 1, 2, 4, 4, 1, 0, 4, 3, 0, 4, 4, 2, 1, 0, 3, 4, 2, 0, 0, 4, 0, 3, 4, 4, 4, 2, 0, 3, 2, 0, 3, 2, 1, 3, 0, 3, 4, 2, 2, 3, 4, 1, 1, 0, 1, 3, 2, 2, 3, 1, 2, 0, 2, 2, 2, 0, 2, 0, 4, 3, 4, 2, 4, 4, 1, 0, 1, 3, 4, 4, 0, 4, 3, 4, 3, 4, 4, 2, 3, 3, 2, 2, 0, 1, 2, 2, 4, 2, 0, 4, 2, 0, 3, 2, 3, 2, 1, 0, 4, 4, 4, 0, 1, 1, 3, 3, 4, 2, 1, 4, 3, 2, 1, 3, 3, 4, 1, 4, 3, 3, 0, 3, 1, 1, 4, 1, 2, 4, 2, 1, 3, 2, 4, 1, 2, 1, 0, 3, 0, 1, 4, 2, 0, 1, 1, 4, 0, 3, 4, 1, 0, 0, 1, 2, 2, 0, 0, 4, 4, 3, 3, 1, 2, 4, 0, 0, 0, 0, 1, 3, 2, 3, 0, 4, 4, 0, 0, 1, 2, 1, 2, 4, 4, 2, 2, 1, 3, 2, 1, 4, 1, 4, 0, 2, 2, 3, 1, 2, 4, 2, 3, 0, 3, 4, 4, 1, 3, 1, 1, 4, 2, 4, 2, 4, 2, 1, 0, 0, 1, 3, 4, 3, 0, 4, 2, 0, 1, 4, 4, 4, 0, 0, 3, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 1, 1, 3, 0, 2, 1, 1, 0, 3, 2, 0, 2, 4, 2, 4, 1, 2, 4, 0, 0, 1]
pubkeycol1239 = [0, 3, 3, 3, 1, 0, 1, 1, 3, 4, 2, 4, 2, 3, 2, 4, 1, 4, 3, 3, 4, 1, 1, 4, 3, 1, 2, 2, 4, 0, 4, 3, 4, 2, 3, 3, 0, 3, 4, 1, 3, 0, 4, 1, 0, 4, 3, 1, 3, 1, 4, 4, 0, 0, 2, 2, 2, 0, 4, 4, 0, 1, 4, 3, 2, 1, 0, 2, 3, 0, 4, 3, 3, 1, 3, 1, 2, 0, 4, 1, 3, 0, 4, 3, 4, 2, 4, 3, 3, 0, 0, 2, 1, 3, 1, 3, 2, 1, 2, 2, 2, 0, 3, 3, 0, 4, 1, 1, 1, 0, 4, 1, 2, 2, 0, 0, 4, 1, 0, 4, 0, 3, 1, 0, 0, 2, 3, 2, 3, 0, 1, 0, 2, 1, 4, 1, 1, 3, 0, 3, 2, 3, 2, 0, 2, 2, 1, 4, 4, 2, 1, 2, 3, 4, 4, 3, 1, 3, 4, 0, 1, 4, 2, 0, 4, 0, 2, 4, 4, 0, 1, 3, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 4, 1, 0, 0, 0, 1, 4, 1, 4, 1, 3, 2, 2, 2, 0, 3, 3, 0, 0, 4, 0, 3, 1, 2, 3, 4, 1, 2, 0, 0, 1, 3, 0, 2, 0, 4, 0, 3, 1, 3, 1, 4, 3, 3, 0, 4, 1, 2, 4, 1, 1, 0, 1, 2, 2, 1, 2, 4, 4, 1, 1, 0, 0, 2, 2, 4, 3, 0, 4, 0, 4, 3, 3, 4, 2, 4, 4, 1, 1, 1, 4, 1, 0, 3, 0, 3, 3, 1, 4, 2, 3, 2, 2, 4, 3, 0, 3, 3, 1, 4, 0, 1, 3, 0, 4, 1, 2, 0, 4, 0, 1, 3, 4, 2, 4, 1, 0, 3, 2, 4, 1, 1, 0, 0, 2, 1, 4, 1, 3, 0, 0, 1, 2, 4, 3, 0, 1, 4, 2, 1, 2, 3, 3, 0, 4, 2, 4, 3, 0, 4, 2, 2, 4, 4, 4, 0, 4, 2, 4, 2, 0, 0, 2, 0, 4, 0, 4, 2, 3, 4, 2, 0, 0, 1, 2, 0, 4, 0, 1, 1, 0, 1, 3, 3, 2, 1, 2, 0, 3, 1, 0, 1, 1, 2, 1, 4, 0, 1, 3, 0, 2, 4, 3, 2, 4, 1, 2, 3, 1, 1, 4, 1, 1, 4, 0, 0, 1]
pubkeycol1240 = [0, 4, 4, 2, 2, 1, 4, 0, 1, 0, 1, 3, 0, 4, 1, 2, 4, 0, 3, 4, 1, 2, 1, 1, 1, 1, 4, 0, 1, 1, 3, 0, 0, 2, 3, 3, 3, 1, 2, 4, 4, 3, 4, 4, 0, 0, 4, 1, 1, 3, 0, 3, 3, 3, 1, 4, 0, 4, 0, 1, 3, 1, 1, 2, 2, 1, 1, 2, 1, 2, 3, 1, 4, 3, 4, 0, 1, 1, 2, 2, 1, 0, 2, 2, 4, 1, 3, 2, 0, 1, 3, 3, 2, 3, 0, 3, 2, 0, 0, 3, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3, 1, 1, 1, 3, 4, 3, 3, 1, 3, 2, 3, 4, 3, 2, 3, 4, 2, 2, 4, 0, 0, 4, 0, 4, 1, 1, 1, 3, 1, 1, 4, 4, 2, 3, 4, 2, 3, 4, 4, 3, 1, 3, 4, 1, 3, 4, 0, 1, 0, 4, 3, 0, 0, 3, 3, 3, 1, 4, 4, 4, 0, 2, 1, 1, 4, 3, 4, 0, 4, 3, 1, 0, 2, 4, 1, 4, 1, 3, 2, 1, 2, 3, 4, 1, 2, 4, 0, 1, 0, 1, 4, 0, 2, 4, 1, 0, 1, 0, 0, 1, 3, 0, 1, 4, 4, 4, 4, 4, 3, 4, 4, 1, 0, 2, 1, 2, 0, 4, 2, 4, 4, 3, 4, 3, 0, 2, 3, 3, 0, 4, 4, 0, 2, 0, 2, 3, 4, 2, 4, 1, 2, 0, 0, 1, 3, 4, 1, 0, 4, 4, 2, 2, 3, 0, 3, 4, 0, 1, 1, 0, 3, 2, 4, 3, 2, 1, 0, 4, 4, 0, 4, 1, 0, 4, 3, 2, 4, 1, 4, 2, 3, 0, 4, 4, 3, 3, 4, 3, 4, 0, 1, 1, 0, 4, 2, 2, 1, 1, 4, 1, 4, 3, 2, 3, 1, 4, 4, 1, 1, 1, 0, 4, 1, 3, 0, 2, 4, 3, 1, 0, 2, 2, 4, 4, 3, 0, 2, 3, 0, 0, 1, 3, 1, 1, 2, 1, 0, 4, 1, 3, 0, 2, 2, 3, 3, 1, 2, 4, 3, 1, 1, 2, 1, 2, 4, 4, 4, 4, 3, 4, 3, 1, 4, 0, 3, 0, 2, 0, 2, 3, 2, 4, 0, 2, 4, 0, 1, 2, 1, 4, 1, 2, 0, 3, 1, 4, 1, 2, 3, 3]
pubkeycol1241 = [2, 1, 3, 2, 1, 1, 4, 0, 0, 3, 0, 1, 0, 1, 1, 3, 1, 2, 1, 0, 0, 4, 0, 0, 3, 1, 0, 2, 0, 2, 4, 0, 2, 4, 4, 1, 4, 1, 1, 2, 0, 2, 2, 3, 3, 1, 2, 4, 3, 4, 0, 3, 3, 0, 2, 1, 3, 0, 3, 4, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 2, 3, 0, 4, 4, 3, 2, 0, 4, 0, 4, 4, 0, 3, 4, 2, 0, 0, 1, 0, 4, 4, 0, 1, 2, 3, 1, 1, 2, 3, 4, 2, 2, 1, 0, 4, 4, 1, 1, 0, 4, 1, 2, 0, 2, 2, 3, 2, 4, 0, 0, 0, 0, 1, 1, 1, 4, 0, 1, 1, 1, 1, 4, 4, 3, 2, 1, 3, 2, 4, 1, 0, 2, 4, 1, 3, 4, 4, 1, 2, 2, 3, 1, 0, 4, 4, 1, 2, 0, 1, 0, 1, 4, 2, 3, 2, 2, 3, 1, 2, 0, 0, 3, 1, 2, 0, 2, 3, 2, 4, 3, 1, 0, 3, 3, 1, 4, 2, 4, 3, 1, 0, 3, 4, 4, 4, 0, 3, 3, 0, 1, 1, 4, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 1, 4, 2, 1, 1, 0, 3, 1, 4, 2, 1, 0, 3, 0, 3, 0, 1, 1, 4, 4, 4, 4, 3, 0, 3, 4, 3, 1, 0, 0, 2, 3, 2, 1, 3, 4, 2, 2, 4, 2, 2, 0, 2, 3, 1, 0, 0, 1, 1, 2, 0, 0, 4, 2, 4, 2, 1, 0, 3, 3, 0, 3, 2, 1, 1, 0, 3, 0, 3, 1, 1, 0, 0, 1, 0, 1, 3, 3, 1, 4, 2, 2, 3, 1, 4, 2, 4, 3, 1, 1, 1, 4, 3, 2, 4, 1, 4, 2, 0, 1, 1, 1, 4, 2, 4, 3, 1, 1, 4, 3, 3, 4, 4, 3, 3, 0, 0, 0, 1, 1, 2, 0, 4, 3, 0, 0, 2, 3, 1, 2, 1, 3, 0, 4, 0, 0, 4, 0, 3, 0, 1, 4, 1, 1, 3, 2, 3, 3, 4, 4, 1, 2, 4, 0, 1, 0, 0, 2, 1, 2, 1, 2, 4, 4, 3, 2, 4, 1, 1, 4, 1, 2, 2, 2, 3, 4, 2, 4, 3, 2, 1, 1, 3]
pubkeycol1242 = [2, 3, 3, 1, 2, 3, 0, 3, 4, 0, 2, 4, 4, 2, 1, 3, 3, 0, 0, 3, 2, 3, 1, 0, 2, 2, 0, 2, 0, 0, 2, 4, 0, 0, 4, 3, 0, 2, 1, 1, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 2, 0, 4, 4, 1, 0, 1, 0, 0, 0, 2, 4, 2, 3, 4, 4, 3, 1, 0, 1, 2, 3, 1, 2, 4, 1, 3, 4, 0, 0, 0, 0, 2, 1, 2, 3, 4, 0, 1, 4, 4, 3, 3, 1, 0, 2, 4, 2, 3, 4, 3, 0, 3, 2, 0, 4, 1, 4, 1, 1, 0, 1, 0, 0, 0, 0, 3, 1, 4, 3, 2, 0, 1, 0, 3, 1, 4, 2, 4, 1, 3, 3, 0, 2, 2, 2, 1, 4, 4, 2, 4, 0, 2, 3, 1, 2, 2, 1, 0, 4, 4, 1, 1, 2, 3, 4, 0, 3, 2, 3, 1, 0, 4, 3, 1, 4, 4, 2, 2, 0, 0, 1, 2, 1, 1, 4, 0, 1, 4, 1, 4, 3, 2, 3, 4, 0, 4, 3, 3, 2, 2, 1, 0, 2, 0, 3, 4, 1, 4, 3, 0, 0, 4, 0, 2, 0, 4, 0, 4, 1, 3, 4, 2, 3, 0, 2, 2, 4, 1, 3, 4, 3, 2, 4, 0, 4, 2, 0, 2, 3, 3, 3, 0, 0, 1, 4, 0, 1, 0, 3, 4, 1, 4, 0, 2, 3, 4, 1, 0, 0, 4, 3, 1, 0, 4, 3, 0, 1, 0, 4, 0, 0, 3, 1, 2, 0, 0, 0, 3, 2, 1, 3, 2, 1, 4, 2, 1, 1, 2, 1, 2, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 4, 3, 2, 2, 1, 0, 3, 3, 1, 4, 3, 0, 1, 1, 0, 2, 1, 0, 2, 1, 3, 2, 1, 3, 1, 3, 1, 0, 2, 1, 0, 2, 4, 2, 1, 3, 4, 3, 1, 4, 0, 3, 4, 1, 2, 0, 2, 4, 4, 3, 1, 3, 1, 4, 3, 2, 2, 3, 0, 2, 3, 3, 0, 0, 4, 1, 4, 0, 2, 3, 1, 3, 3, 3, 3, 2, 2, 1, 2, 1, 0, 0, 3, 1, 2, 0, 0, 2, 4, 4, 1, 3, 3, 1, 3, 4, 0, 4, 0, 4, 0, 4, 2, 4, 2, 0]
pubkeycol1243 = [1, 1, 4, 1, 4, 3, 0, 1, 0, 4, 0, 4, 3, 4, 4, 4, 0, 4, 3, 3, 1, 4, 0, 4, 4, 4, 3, 0, 0, 1, 4, 3, 3, 4, 1, 4, 0, 0, 3, 4, 4, 3, 0, 3, 1, 0, 2, 1, 1, 2, 4, 3, 0, 0, 1, 4, 3, 0, 3, 0, 3, 2, 4, 1, 3, 1, 4, 1, 1, 2, 3, 1, 4, 4, 0, 0, 1, 2, 2, 4, 2, 0, 2, 2, 3, 4, 0, 3, 3, 0, 3, 1, 2, 3, 4, 0, 2, 0, 1, 3, 2, 4, 4, 3, 2, 2, 0, 3, 0, 0, 2, 4, 0, 1, 3, 4, 2, 1, 3, 4, 2, 1, 3, 1, 1, 0, 0, 4, 2, 1, 4, 4, 2, 2, 3, 0, 2, 1, 3, 1, 1, 0, 0, 0, 3, 3, 4, 1, 3, 3, 0, 3, 0, 2, 4, 0, 1, 4, 3, 4, 0, 2, 2, 0, 0, 4, 2, 3, 2, 3, 3, 4, 1, 2, 4, 1, 2, 3, 1, 1, 1, 3, 2, 0, 1, 2, 4, 0, 0, 1, 1, 1, 4, 0, 0, 0, 0, 0, 2, 2, 4, 2, 2, 3, 4, 3, 3, 1, 2, 2, 1, 2, 1, 3, 3, 4, 4, 2, 0, 3, 2, 2, 0, 3, 1, 2, 2, 3, 2, 2, 3, 3, 4, 1, 0, 3, 2, 0, 3, 2, 4, 0, 2, 3, 1, 3, 3, 4, 1, 0, 2, 3, 0, 1, 1, 1, 4, 4, 4, 4, 2, 4, 0, 0, 4, 0, 2, 0, 4, 2, 0, 4, 3, 2, 3, 0, 1, 4, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4, 1, 1, 3, 4, 0, 3, 4, 2, 0, 0, 3, 3, 2, 0, 3, 3, 4, 2, 4, 4, 2, 4, 0, 1, 0, 3, 2, 2, 0, 1, 0, 1, 4, 4, 3, 1, 3, 1, 2, 1, 2, 1, 4, 1, 2, 0, 4, 4, 1, 3, 0, 4, 2, 3, 3, 1, 0, 0, 1, 1, 3, 3, 4, 2, 0, 0, 0, 1, 3, 1, 4, 4, 3, 0, 3, 0, 2, 3, 0, 0, 4, 1, 1, 4, 3, 4, 0, 4, 0, 0, 0, 0, 4, 3, 0, 2, 4, 1, 3, 0, 3, 4, 4, 3, 4, 3, 1, 0, 4, 3, 2, 1]
pubkeycol1244 = [2, 4, 1, 4, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 4, 4, 0, 2, 1, 0, 4, 0, 1, 3, 0, 1, 3, 2, 4, 1, 1, 4, 2, 1, 1, 0, 3, 3, 2, 2, 3, 3, 4, 2, 1, 0, 0, 4, 0, 2, 1, 4, 1, 3, 1, 3, 3, 2, 0, 3, 1, 2, 4, 0, 4, 2, 0, 0, 0, 2, 2, 4, 3, 0, 0, 4, 3, 0, 1, 4, 2, 1, 3, 1, 1, 2, 0, 3, 2, 4, 0, 0, 0, 3, 2, 1, 3, 0, 4, 2, 3, 3, 1, 1, 0, 4, 3, 1, 0, 3, 4, 1, 1, 0, 3, 1, 4, 0, 3, 4, 0, 1, 1, 1, 0, 0, 0, 4, 1, 4, 0, 3, 4, 2, 3, 0, 2, 3, 1, 4, 3, 3, 1, 2, 0, 1, 4, 0, 4, 2, 4, 2, 1, 4, 1, 1, 3, 0, 4, 3, 4, 2, 2, 4, 3, 4, 4, 1, 0, 1, 1, 0, 3, 0, 1, 2, 0, 2, 2, 2, 0, 3, 2, 4, 4, 1, 2, 1, 4, 1, 4, 3, 3, 1, 3, 3, 3, 4, 0, 4, 1, 2, 0, 3, 3, 3, 4, 1, 4, 3, 2, 1, 2, 0, 4, 4, 4, 2, 1, 1, 2, 3, 3, 4, 0, 2, 4, 3, 3, 3, 3, 1, 0, 3, 0, 2, 2, 1, 0, 2, 2, 4, 4, 1, 4, 2, 4, 2, 1, 1, 3, 3, 0, 3, 2, 1, 0, 3, 3, 1, 0, 4, 4, 4, 3, 2, 3, 1, 2, 1, 4, 2, 3, 4, 3, 2, 4, 2, 2, 0, 4, 3, 1, 2, 4, 0, 1, 3, 4, 2, 1, 2, 1, 2, 1, 4, 0, 3, 4, 4, 2, 4, 0, 0, 1, 1, 2, 2, 4, 0, 0, 0, 0, 0, 2, 2, 4, 3, 3, 1, 1, 0, 4, 0, 0, 1, 3, 1, 3, 1, 2, 3, 1, 0, 4, 0, 0, 2, 4, 3, 0, 2, 3, 3, 1, 3, 1, 3, 0, 1, 0, 3, 0, 4, 0, 3, 2, 2, 4, 3, 2, 3, 3, 4, 4, 1, 2, 1, 2, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 2, 0, 1, 1, 3, 3, 0, 0, 2, 0, 1, 2, 4, 4, 1, 4, 2, 0, 1, 2, 1]
pubkeycol1245 = [3, 2, 0, 4, 2, 4, 0, 3, 2, 1, 1, 0, 4, 3, 3, 2, 3, 0, 2, 4, 1, 2, 3, 3, 4, 2, 4, 3, 2, 2, 2, 0, 1, 4, 1, 3, 2, 4, 1, 2, 1, 3, 3, 4, 4, 0, 0, 3, 1, 1, 2, 0, 2, 3, 1, 1, 2, 1, 0, 4, 0, 2, 4, 0, 1, 2, 0, 0, 1, 3, 1, 2, 2, 0, 0, 0, 2, 1, 0, 3, 4, 0, 3, 3, 2, 4, 3, 2, 1, 3, 1, 2, 1, 2, 0, 3, 1, 0, 0, 4, 3, 4, 4, 3, 3, 1, 0, 2, 0, 1, 3, 2, 3, 0, 2, 0, 2, 0, 4, 2, 4, 3, 2, 3, 3, 4, 0, 2, 2, 2, 3, 4, 3, 2, 1, 1, 4, 4, 2, 2, 4, 3, 4, 0, 4, 0, 1, 2, 4, 2, 3, 4, 3, 1, 2, 3, 1, 4, 4, 2, 1, 1, 1, 1, 0, 3, 2, 1, 2, 4, 3, 1, 4, 3, 3, 2, 1, 0, 4, 2, 4, 1, 4, 3, 3, 3, 1, 3, 0, 4, 4, 4, 2, 1, 1, 3, 0, 0, 3, 0, 3, 3, 0, 0, 2, 2, 4, 0, 4, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 1, 3, 1, 1, 0, 1, 2, 3, 0, 1, 2, 3, 2, 1, 4, 3, 2, 1, 2, 4, 2, 3, 0, 2, 1, 4, 1, 1, 2, 3, 0, 2, 1, 1, 2, 4, 3, 1, 1, 3, 1, 0, 0, 0, 2, 4, 3, 4, 2, 2, 1, 3, 0, 3, 1, 4, 3, 1, 0, 3, 4, 0, 3, 2, 3, 3, 1, 0, 2, 2, 2, 1, 2, 4, 4, 1, 1, 0, 4, 2, 4, 4, 3, 3, 0, 3, 3, 1, 3, 2, 4, 1, 1, 2, 1, 4, 4, 0, 3, 3, 1, 0, 1, 4, 0, 0, 0, 2, 1, 4, 0, 2, 3, 0, 4, 1, 1, 2, 1, 3, 1, 2, 0, 0, 1, 1, 3, 0, 0, 4, 3, 2, 1, 1, 0, 1, 4, 3, 4, 4, 1, 2, 0, 1, 0, 0, 1, 2, 4, 0, 2, 2, 3, 3, 1, 2, 3, 2, 2, 3, 2, 2, 2, 4, 3, 0, 3, 2, 3, 2, 3, 2, 3, 0, 2, 1, 4, 2, 4, 3, 1]
pubkeycol1246 = [0, 0, 3, 2, 0, 2, 3, 3, 4, 1, 1, 0, 1, 2, 0, 4, 4, 4, 2, 4, 2, 2, 0, 1, 4, 1, 1, 3, 2, 3, 3, 4, 3, 0, 2, 0, 1, 4, 1, 2, 0, 3, 0, 1, 2, 3, 3, 0, 4, 4, 2, 4, 0, 1, 1, 2, 3, 2, 1, 4, 4, 4, 3, 3, 3, 3, 3, 1, 3, 0, 0, 1, 0, 2, 2, 3, 4, 4, 3, 4, 4, 3, 3, 0, 1, 0, 4, 2, 4, 3, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 3, 3, 0, 3, 1, 4, 0, 0, 1, 3, 4, 1, 1, 0, 1, 2, 4, 0, 3, 0, 4, 2, 0, 2, 1, 2, 2, 3, 2, 1, 4, 1, 3, 2, 4, 2, 3, 4, 0, 0, 0, 3, 1, 1, 3, 3, 4, 2, 2, 1, 3, 1, 1, 4, 3, 3, 2, 3, 4, 3, 3, 2, 1, 1, 3, 2, 2, 1, 3, 2, 1, 4, 2, 1, 1, 1, 2, 0, 1, 2, 3, 3, 3, 1, 4, 1, 0, 4, 3, 3, 3, 1, 4, 2, 3, 3, 3, 1, 3, 2, 4, 0, 4, 0, 2, 2, 4, 2, 1, 0, 1, 1, 0, 3, 2, 1, 0, 1, 0, 0, 3, 3, 2, 4, 2, 1, 3, 2, 1, 2, 1, 4, 1, 0, 0, 1, 3, 0, 2, 0, 1, 1, 3, 3, 2, 1, 0, 4, 3, 1, 4, 4, 3, 2, 3, 2, 4, 1, 1, 3, 3, 2, 4, 2, 2, 3, 4, 0, 1, 4, 1, 2, 3, 4, 0, 0, 4, 4, 0, 1, 3, 4, 4, 3, 2, 2, 4, 2, 0, 2, 3, 4, 1, 1, 2, 0, 3, 4, 3, 4, 0, 0, 2, 4, 2, 4, 1, 0, 0, 4, 3, 1, 3, 0, 1, 4, 2, 0, 1, 4, 0, 2, 4, 2, 2, 1, 1, 3, 0, 3, 4, 1, 3, 1, 3, 4, 4, 4, 1, 0, 4, 4, 0, 3, 4, 3, 4, 1, 4, 2, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 4, 2, 2, 4, 4, 3, 0, 1, 2, 0, 1, 0, 4, 0, 4, 1, 1, 4, 1, 3, 3, 2, 4, 3, 3, 4, 4, 2, 1, 1, 3, 1, 1, 1, 0, 1, 3]
pubkeycol1247 = [2, 2, 1, 4, 1, 0, 1, 1, 2, 1, 3, 1, 2, 0, 0, 4, 4, 2, 1, 1, 3, 4, 2, 1, 1, 2, 0, 3, 0, 2, 2, 4, 1, 4, 1, 0, 4, 0, 1, 3, 0, 1, 0, 4, 1, 3, 0, 3, 0, 0, 0, 3, 4, 1, 0, 1, 3, 3, 0, 4, 3, 4, 3, 3, 2, 4, 4, 4, 0, 2, 0, 1, 3, 4, 4, 0, 3, 0, 0, 4, 4, 1, 0, 0, 0, 1, 3, 1, 1, 1, 3, 3, 0, 0, 3, 4, 0, 1, 2, 1, 3, 3, 3, 1, 1, 3, 2, 3, 1, 2, 4, 3, 3, 3, 4, 3, 3, 0, 3, 0, 4, 4, 0, 2, 2, 1, 4, 3, 4, 0, 4, 4, 4, 2, 3, 4, 2, 0, 3, 4, 0, 0, 4, 4, 0, 4, 1, 0, 1, 4, 2, 1, 1, 2, 2, 1, 0, 0, 3, 1, 3, 4, 3, 0, 0, 3, 0, 0, 0, 1, 4, 4, 0, 2, 2, 3, 3, 3, 1, 3, 0, 2, 0, 0, 4, 1, 3, 4, 4, 0, 3, 3, 4, 3, 0, 3, 1, 3, 1, 1, 2, 1, 3, 0, 0, 3, 3, 0, 1, 4, 3, 1, 4, 0, 4, 1, 4, 1, 0, 2, 3, 3, 1, 4, 1, 2, 0, 4, 1, 1, 4, 3, 0, 0, 0, 3, 1, 1, 0, 3, 0, 3, 2, 4, 3, 0, 4, 0, 1, 3, 0, 2, 2, 4, 2, 2, 3, 0, 1, 3, 2, 0, 0, 1, 1, 0, 4, 1, 4, 1, 0, 0, 2, 2, 2, 1, 3, 4, 4, 1, 2, 2, 4, 1, 3, 0, 2, 4, 4, 1, 1, 4, 4, 4, 4, 3, 1, 4, 3, 3, 0, 4, 4, 1, 4, 4, 4, 4, 2, 2, 1, 3, 0, 4, 1, 2, 3, 2, 1, 1, 0, 3, 3, 3, 2, 4, 2, 2, 1, 0, 1, 1, 4, 3, 4, 3, 2, 4, 2, 0, 2, 1, 0, 3, 2, 3, 0, 3, 0, 0, 3, 4, 3, 0, 4, 2, 2, 3, 1, 4, 0, 4, 4, 0, 3, 2, 2, 4, 4, 3, 4, 2, 0, 1, 3, 3, 3, 2, 3, 3, 3, 3, 3, 0, 3, 1, 1, 3, 3, 3, 3, 2, 1, 1, 1, 0, 2, 1, 0, 4]
pubkeycol1248 = [1, 3, 1, 3, 0, 3, 2, 2, 4, 1, 3, 1, 3, 4, 3, 1, 0, 0, 3, 2, 1, 1, 3, 2, 1, 4, 0, 4, 1, 4, 2, 2, 1, 2, 3, 0, 0, 2, 0, 0, 3, 1, 2, 2, 4, 3, 3, 0, 3, 0, 1, 0, 3, 0, 0, 1, 3, 4, 0, 0, 0, 1, 3, 2, 1, 0, 2, 0, 3, 0, 0, 3, 4, 4, 2, 4, 3, 1, 0, 2, 3, 0, 3, 2, 2, 0, 3, 3, 1, 0, 3, 2, 1, 1, 4, 2, 2, 3, 3, 0, 4, 3, 1, 3, 0, 2, 3, 0, 0, 3, 1, 3, 4, 0, 2, 1, 0, 0, 1, 0, 2, 4, 3, 2, 4, 0, 0, 2, 2, 3, 3, 1, 3, 3, 0, 2, 4, 3, 1, 2, 1, 4, 4, 1, 4, 0, 2, 1, 3, 1, 1, 3, 3, 4, 0, 0, 4, 2, 0, 1, 3, 2, 4, 1, 2, 1, 0, 3, 4, 0, 0, 4, 1, 0, 0, 0, 2, 0, 0, 0, 3, 0, 4, 4, 0, 4, 4, 2, 1, 3, 1, 3, 1, 1, 0, 1, 1, 0, 0, 3, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 4, 2, 4, 3, 3, 0, 3, 2, 4, 0, 4, 2, 1, 2, 4, 0, 0, 0, 1, 4, 1, 4, 3, 0, 0, 1, 4, 3, 3, 4, 4, 4, 1, 0, 1, 1, 3, 2, 3, 1, 4, 4, 3, 4, 2, 1, 1, 4, 2, 3, 1, 3, 2, 1, 0, 1, 0, 3, 0, 3, 3, 2, 3, 2, 1, 3, 0, 2, 3, 1, 1, 3, 4, 4, 1, 1, 3, 0, 0, 4, 3, 3, 2, 3, 2, 2, 2, 2, 0, 4, 0, 0, 0, 2, 4, 4, 2, 0, 1, 1, 1, 0, 4, 3, 0, 0, 3, 4, 4, 3, 4, 4, 3, 0, 2, 1, 1, 4, 2, 3, 0, 4, 2, 4, 1, 2, 2, 1, 0, 3, 0, 1, 2, 1, 1, 4, 0, 3, 4, 3, 3, 3, 0, 1, 2, 2, 0, 4, 2, 2, 0, 0, 1, 0, 3, 1, 2, 4, 3, 4, 1, 4, 1, 3, 1, 0, 2, 3, 0, 2, 2, 4, 4, 4, 0, 4, 4, 1, 4, 0, 2, 3, 3, 4, 4, 1, 4, 1, 1, 4]
pubkeycol1249 = [0, 0, 4, 4, 2, 2, 1, 4, 1, 3, 1, 0, 1, 1, 2, 3, 1, 3, 3, 0, 2, 0, 2, 3, 2, 3, 1, 1, 1, 1, 2, 0, 2, 3, 0, 1, 2, 2, 2, 0, 0, 2, 3, 2, 1, 3, 0, 1, 3, 4, 3, 1, 1, 3, 1, 3, 0, 3, 1, 1, 4, 2, 2, 3, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 4, 4, 1, 3, 2, 4, 2, 4, 4, 4, 1, 2, 0, 2, 3, 4, 2, 1, 3, 0, 2, 2, 3, 2, 0, 4, 4, 1, 3, 3, 1, 4, 3, 3, 3, 0, 2, 0, 4, 2, 0, 4, 3, 4, 3, 3, 0, 3, 2, 0, 3, 1, 1, 1, 1, 3, 1, 0, 4, 4, 4, 3, 1, 2, 2, 0, 1, 4, 0, 3, 2, 2, 3, 4, 2, 1, 1, 0, 2, 4, 0, 2, 0, 2, 3, 1, 4, 1, 2, 4, 1, 4, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 4, 4, 1, 3, 4, 3, 3, 0, 1, 0, 1, 2, 4, 2, 0, 1, 0, 0, 3, 4, 3, 1, 3, 2, 3, 0, 1, 0, 1, 0, 1, 0, 3, 4, 3, 4, 2, 0, 0, 0, 3, 3, 3, 2, 2, 3, 2, 0, 0, 3, 1, 0, 1, 4, 2, 1, 2, 3, 1, 1, 0, 3, 1, 0, 1, 0, 0, 0, 4, 3, 4, 4, 4, 4, 1, 1, 4, 0, 4, 2, 1, 0, 3, 1, 4, 2, 2, 2, 1, 4, 2, 2, 4, 2, 0, 2, 1, 0, 4, 1, 3, 1, 0, 0, 2, 2, 1, 4, 4, 1, 1, 2, 0, 3, 1, 3, 1, 3, 4, 1, 1, 4, 2, 3, 4, 2, 4, 2, 3, 4, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 2, 3, 3, 3, 4, 1, 3, 2, 3, 2, 1, 3, 1, 0, 4, 0, 3, 3, 4, 1, 2, 4, 2, 3, 3, 2, 0, 0, 0, 0, 1, 0, 0, 1, 3, 4, 2, 1, 4, 0, 0, 1, 0, 4, 1, 2, 3, 1, 2, 3, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 2, 0, 3, 3, 3, 0, 3, 2, 1, 3, 4, 3, 1, 3, 4, 0, 2, 2, 3]
pubkeycol1250 = [1, 1, 1, 4, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 4, 1, 3, 0, 2, 4, 4, 2, 0, 0, 3, 1, 2, 1, 3, 2, 3, 0, 2, 2, 0, 3, 3, 1, 2, 2, 1, 3, 1, 0, 1, 2, 0, 2, 2, 4, 4, 1, 4, 4, 0, 4, 3, 2, 4, 3, 0, 3, 1, 0, 0, 1, 0, 3, 4, 3, 0, 0, 0, 3, 4, 4, 1, 4, 4, 4, 0, 3, 4, 1, 0, 1, 3, 1, 3, 0, 4, 3, 0, 3, 4, 3, 1, 0, 2, 3, 3, 4, 3, 0, 0, 4, 0, 2, 3, 4, 0, 1, 3, 4, 3, 3, 0, 4, 3, 3, 1, 3, 2, 0, 0, 0, 2, 1, 1, 4, 4, 0, 0, 2, 4, 0, 4, 3, 1, 1, 3, 3, 3, 0, 3, 1, 4, 1, 1, 3, 1, 0, 4, 1, 1, 0, 4, 1, 3, 4, 1, 2, 0, 4, 2, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 3, 2, 1, 2, 3, 0, 4, 1, 2, 3, 3, 1, 1, 2, 0, 3, 1, 3, 4, 4, 3, 2, 2, 0, 3, 3, 4, 3, 4, 3, 0, 4, 4, 2, 3, 0, 1, 3, 4, 4, 1, 3, 4, 3, 1, 1, 1, 1, 0, 1, 4, 1, 3, 2, 0, 1, 4, 3, 1, 4, 2, 3, 4, 0, 4, 0, 1, 1, 4, 1, 1, 1, 4, 3, 2, 3, 2, 1, 4, 2, 2, 4, 2, 0, 2, 4, 4, 2, 0, 4, 2, 3, 4, 4, 4, 4, 1, 0, 4, 0, 4, 3, 1, 1, 0, 4, 1, 2, 3, 3, 2, 4, 2, 2, 1, 4, 4, 0, 3, 1, 1, 4, 0, 1, 4, 4, 3, 3, 4, 0, 4, 4, 1, 4, 1, 0, 4, 1, 2, 0, 4, 2, 3, 1, 3, 3, 4, 3, 0, 3, 4, 2, 4, 3, 0, 3, 3, 0, 3, 4, 0, 3, 4, 3, 2, 1, 3, 4, 0, 1, 0, 1, 1, 3, 4, 3, 0, 1, 4, 2, 1, 4, 1, 1, 0, 4, 4, 1, 0, 2, 3, 0, 1, 0, 0, 1, 0, 3, 1, 0, 0, 0, 4, 1, 2, 2, 1, 2, 1, 2, 4, 1, 1, 4, 4, 2, 4, 3, 4, 2, 0, 0, 4, 4, 4]
pubkeycol1251 = [3, 0, 3, 0, 2, 2, 1, 3, 3, 3, 1, 2, 1, 3, 0, 4, 2, 4, 0, 0, 2, 4, 2, 3, 2, 2, 3, 4, 2, 0, 0, 3, 3, 4, 3, 3, 1, 1, 0, 0, 3, 3, 1, 4, 4, 2, 3, 2, 1, 3, 2, 4, 2, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 2, 1, 2, 4, 2, 4, 1, 1, 4, 3, 1, 3, 2, 0, 2, 4, 1, 4, 4, 3, 0, 4, 3, 2, 2, 0, 4, 2, 2, 4, 0, 1, 3, 2, 1, 1, 0, 3, 0, 2, 3, 1, 4, 3, 1, 4, 2, 4, 2, 2, 3, 1, 3, 4, 3, 0, 4, 4, 2, 0, 0, 3, 0, 3, 0, 0, 1, 0, 2, 1, 3, 2, 2, 2, 4, 2, 0, 3, 2, 2, 4, 1, 0, 3, 0, 2, 1, 2, 3, 3, 3, 2, 2, 0, 2, 1, 1, 2, 3, 2, 3, 2, 0, 0, 4, 0, 0, 2, 0, 4, 2, 3, 4, 0, 2, 0, 4, 2, 1, 0, 0, 3, 1, 1, 3, 3, 4, 1, 4, 3, 0, 1, 3, 4, 1, 3, 2, 2, 3, 1, 0, 2, 2, 2, 3, 0, 1, 4, 4, 1, 0, 0, 0, 0, 1, 4, 1, 4, 1, 2, 3, 2, 4, 3, 2, 0, 1, 3, 2, 0, 4, 4, 2, 2, 4, 4, 0, 1, 1, 0, 4, 3, 2, 1, 3, 2, 0, 1, 1, 4, 1, 0, 4, 2, 0, 4, 1, 2, 0, 2, 0, 4, 4, 1, 0, 1, 1, 4, 4, 4, 0, 1, 0, 3, 0, 1, 4, 1, 1, 4, 4, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 0, 0, 2, 1, 2, 4, 3, 1, 2, 2, 0, 4, 1, 4, 1, 3, 2, 0, 3, 4, 1, 4, 0, 1, 4, 3, 1, 0, 2, 1, 0, 4, 0, 1, 1, 0, 1, 0, 4, 2, 1, 4, 2, 4, 1, 1, 3, 0, 0, 2, 4, 3, 1, 3, 2, 2, 3, 1, 4, 2, 3, 1, 3, 1, 4, 0, 2, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 2, 2, 0, 4, 2, 4, 1]
pubkeycol1252 = [2, 1, 0, 3, 4, 2, 2, 4, 3, 1, 4, 2, 2, 0, 1, 1, 1, 3, 1, 0, 0, 3, 4, 3, 0, 0, 4, 3, 1, 3, 0, 3, 4, 3, 3, 1, 4, 3, 0, 0, 4, 1, 3, 3, 4, 3, 2, 0, 2, 2, 2, 1, 0, 4, 1, 3, 0, 2, 1, 0, 1, 2, 0, 1, 1, 3, 1, 1, 4, 1, 4, 0, 3, 4, 3, 2, 0, 2, 4, 4, 4, 2, 3, 4, 4, 1, 4, 0, 2, 4, 1, 4, 3, 1, 3, 3, 0, 2, 0, 0, 0, 1, 4, 3, 0, 3, 1, 3, 0, 1, 3, 2, 2, 1, 3, 1, 1, 3, 2, 4, 1, 3, 1, 2, 3, 4, 0, 2, 1, 2, 0, 2, 2, 3, 0, 3, 4, 2, 0, 1, 4, 1, 2, 1, 0, 1, 1, 0, 3, 3, 0, 3, 2, 2, 2, 3, 4, 1, 2, 3, 2, 0, 3, 3, 4, 0, 4, 3, 4, 3, 1, 0, 2, 4, 0, 1, 2, 0, 4, 4, 4, 0, 2, 0, 3, 2, 1, 1, 0, 3, 1, 1, 3, 4, 0, 3, 1, 2, 2, 3, 2, 3, 0, 4, 3, 1, 3, 0, 2, 1, 1, 1, 1, 4, 3, 4, 3, 3, 2, 0, 1, 1, 0, 0, 3, 3, 4, 4, 4, 3, 4, 3, 2, 3, 1, 1, 0, 3, 1, 1, 1, 2, 3, 1, 0, 3, 4, 3, 1, 4, 0, 3, 0, 2, 3, 3, 0, 2, 2, 0, 2, 2, 0, 1, 3, 0, 4, 0, 1, 3, 4, 1, 1, 1, 3, 0, 4, 2, 4, 2, 2, 2, 0, 3, 4, 3, 0, 1, 1, 0, 0, 3, 0, 0, 1, 3, 0, 2, 3, 3, 1, 0, 3, 4, 4, 3, 4, 2, 3, 3, 0, 4, 1, 0, 2, 0, 0, 2, 1, 3, 1, 1, 0, 0, 3, 3, 2, 3, 4, 1, 2, 0, 2, 1, 4, 0, 3, 1, 1, 0, 4, 1, 3, 4, 4, 3, 0, 0, 2, 0, 3, 1, 0, 2, 1, 1, 3, 4, 2, 1, 0, 4, 4, 0, 1, 3, 1, 2, 0, 1, 1, 1, 3, 3, 2, 0, 2, 3, 0, 2, 2, 1, 3, 0, 3, 3, 2, 2, 3, 3, 4, 4, 1, 0, 0, 0, 0, 2, 2, 0]
pubkeycol1253 = [1, 3, 3, 0, 2, 2, 3, 2, 1, 4, 0, 3, 3, 2, 4, 0, 1, 4, 0, 3, 3, 2, 1, 0, 2, 4, 0, 3, 0, 0, 4, 0, 0, 0, 1, 0, 0, 3, 4, 0, 1, 4, 4, 0, 3, 1, 4, 3, 3, 3, 3, 3, 4, 3, 1, 2, 1, 3, 1, 3, 0, 0, 4, 3, 3, 3, 4, 1, 1, 3, 1, 3, 4, 4, 3, 4, 1, 0, 1, 0, 1, 1, 0, 2, 4, 2, 3, 0, 1, 4, 4, 1, 0, 1, 4, 4, 4, 0, 2, 1, 2, 3, 1, 3, 4, 4, 3, 4, 4, 2, 1, 1, 0, 0, 4, 2, 2, 1, 3, 1, 3, 3, 0, 1, 4, 3, 1, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 0, 0, 2, 3, 0, 4, 0, 3, 1, 3, 4, 0, 4, 3, 1, 0, 4, 2, 0, 1, 0, 4, 3, 4, 4, 1, 1, 2, 4, 0, 0, 2, 3, 0, 2, 3, 1, 0, 2, 0, 2, 0, 0, 2, 0, 4, 1, 1, 2, 2, 1, 2, 0, 4, 0, 3, 1, 3, 3, 0, 0, 4, 0, 1, 0, 3, 3, 1, 1, 3, 3, 2, 1, 4, 2, 1, 2, 4, 4, 2, 0, 2, 1, 2, 3, 0, 2, 3, 0, 2, 2, 2, 4, 4, 1, 2, 0, 2, 3, 0, 2, 0, 1, 2, 3, 1, 1, 2, 0, 2, 0, 1, 0, 2, 3, 1, 0, 0, 3, 1, 0, 0, 1, 4, 1, 0, 3, 2, 1, 4, 2, 3, 3, 3, 3, 3, 4, 2, 2, 0, 0, 0, 1, 3, 0, 1, 4, 2, 1, 0, 3, 0, 4, 2, 3, 1, 3, 3, 0, 3, 4, 0, 3, 1, 2, 0, 1, 0, 3, 0, 4, 0, 1, 2, 1, 2, 0, 3, 2, 1, 4, 3, 1, 3, 4, 4, 4, 1, 0, 4, 1, 2, 4, 4, 2, 4, 4, 4, 2, 1, 2, 3, 3, 2, 1, 1, 4, 2, 2, 0, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 2, 3, 2, 3, 2, 0, 4, 0, 2, 0, 2, 2, 1, 0, 3, 1, 3, 4, 4, 1, 1, 1, 3, 0, 1, 1, 4, 2, 1, 0, 3, 4, 0, 3, 3, 0, 2, 4, 3]
pubkeycol1254 = [3, 4, 2, 1, 2, 3, 3, 4, 3, 2, 1, 3, 4, 3, 3, 4, 4, 4, 2, 2, 2, 2, 4, 4, 1, 4, 1, 4, 0, 4, 1, 1, 3, 2, 3, 0, 3, 4, 3, 1, 4, 0, 2, 4, 4, 4, 4, 3, 1, 4, 2, 3, 1, 4, 3, 4, 1, 0, 0, 3, 2, 3, 3, 3, 3, 3, 0, 3, 3, 1, 3, 4, 1, 0, 2, 0, 1, 0, 4, 1, 3, 1, 1, 1, 3, 3, 2, 3, 4, 3, 4, 2, 4, 0, 2, 0, 0, 2, 4, 4, 2, 2, 3, 3, 1, 3, 0, 1, 3, 3, 0, 4, 1, 4, 1, 2, 1, 1, 4, 3, 1, 0, 0, 4, 3, 3, 3, 1, 4, 0, 3, 2, 0, 2, 1, 1, 2, 3, 0, 2, 3, 0, 4, 2, 1, 4, 0, 3, 0, 4, 1, 4, 3, 0, 2, 4, 0, 0, 1, 1, 1, 1, 3, 0, 3, 2, 1, 1, 4, 0, 2, 2, 4, 4, 0, 4, 1, 1, 4, 3, 2, 2, 0, 3, 3, 0, 1, 2, 4, 0, 2, 1, 4, 0, 4, 2, 0, 1, 3, 3, 2, 4, 4, 1, 0, 4, 2, 4, 2, 1, 0, 1, 3, 0, 1, 4, 3, 0, 3, 4, 1, 1, 4, 2, 4, 3, 1, 1, 3, 2, 1, 4, 2, 0, 2, 0, 3, 3, 0, 1, 0, 3, 0, 1, 1, 0, 0, 3, 0, 4, 0, 2, 0, 3, 3, 0, 4, 4, 4, 1, 1, 0, 2, 1, 2, 3, 3, 0, 3, 3, 4, 4, 0, 1, 2, 4, 1, 3, 3, 3, 1, 3, 4, 4, 1, 3, 2, 4, 2, 0, 3, 1, 2, 2, 0, 4, 4, 1, 2, 2, 2, 2, 1, 2, 3, 4, 4, 2, 2, 4, 4, 3, 1, 2, 2, 1, 1, 2, 1, 4, 2, 3, 1, 2, 4, 3, 2, 3, 0, 3, 0, 0, 4, 0, 4, 0, 4, 2, 1, 1, 2, 0, 4, 0, 0, 3, 4, 1, 3, 2, 0, 3, 1, 1, 1, 3, 4, 4, 1, 3, 2, 0, 0, 4, 1, 1, 4, 4, 1, 1, 0, 3, 0, 2, 4, 2, 4, 2, 1, 1, 3, 4, 4, 3, 4, 1, 1, 3, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 0]
pubkeycol1255 = [2, 2, 3, 1, 2, 4, 4, 3, 1, 3, 1, 2, 4, 3, 3, 2, 1, 0, 3, 2, 2, 4, 2, 0, 2, 1, 0, 0, 3, 2, 3, 3, 3, 0, 4, 0, 3, 1, 2, 3, 0, 3, 2, 3, 3, 4, 2, 1, 4, 2, 3, 2, 4, 1, 4, 3, 3, 1, 4, 1, 3, 0, 3, 3, 1, 1, 3, 0, 4, 3, 2, 0, 0, 0, 0, 2, 1, 2, 4, 1, 0, 0, 4, 4, 4, 1, 3, 1, 4, 4, 3, 1, 2, 2, 2, 1, 3, 2, 0, 4, 1, 0, 3, 2, 2, 0, 0, 3, 4, 2, 3, 4, 4, 0, 2, 4, 2, 1, 4, 4, 4, 0, 2, 4, 1, 0, 3, 4, 4, 2, 1, 4, 2, 0, 2, 2, 1, 4, 0, 3, 4, 1, 3, 4, 4, 2, 4, 2, 2, 3, 2, 4, 4, 2, 0, 0, 4, 1, 1, 0, 2, 2, 3, 4, 3, 1, 3, 0, 1, 2, 1, 1, 0, 3, 4, 2, 4, 1, 1, 2, 4, 1, 2, 4, 2, 0, 3, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 3, 3, 4, 1, 3, 4, 3, 1, 1, 1, 3, 2, 1, 2, 4, 2, 0, 4, 3, 1, 3, 2, 3, 1, 1, 3, 1, 3, 0, 0, 0, 3, 4, 1, 1, 2, 2, 2, 4, 1, 0, 2, 0, 2, 0, 3, 1, 1, 3, 1, 2, 0, 0, 1, 4, 4, 2, 4, 4, 3, 0, 2, 0, 0, 4, 3, 4, 1, 2, 2, 3, 1, 0, 1, 2, 0, 1, 1, 0, 1, 3, 0, 4, 0, 3, 2, 0, 1, 4, 0, 0, 1, 2, 3, 1, 4, 4, 4, 3, 0, 4, 3, 1, 1, 2, 2, 4, 4, 1, 1, 0, 0, 0, 0, 2, 4, 4, 3, 0, 1, 2, 4, 0, 2, 2, 4, 3, 2, 1, 4, 3, 0, 0, 3, 2, 1, 0, 3, 3, 4, 3, 3, 4, 4, 0, 0, 4, 4, 1, 3, 3, 2, 2, 0, 4, 3, 0, 4, 4, 3, 1, 3, 2, 1, 4, 4, 3, 4, 2, 3, 1, 1, 4, 4, 2, 1, 3, 0, 4, 3, 0, 4, 0, 0, 3, 4, 0, 3, 1, 1, 4, 1, 4, 0, 4, 4, 4, 0, 1, 3, 1, 1]
pubkeycol1256 = [4, 0, 4, 0, 2, 0, 3, 1, 2, 0, 3, 0, 4, 3, 1, 3, 2, 2, 4, 3, 0, 2, 1, 2, 3, 3, 2, 0, 4, 0, 4, 1, 3, 2, 4, 0, 4, 3, 0, 3, 0, 1, 0, 3, 2, 2, 1, 3, 1, 1, 4, 0, 2, 4, 4, 3, 4, 2, 2, 0, 3, 3, 4, 4, 1, 2, 1, 4, 2, 3, 1, 0, 3, 4, 4, 4, 4, 4, 2, 1, 1, 1, 3, 1, 2, 4, 3, 4, 3, 0, 0, 0, 2, 1, 4, 3, 0, 2, 3, 2, 3, 2, 2, 0, 3, 1, 2, 2, 1, 4, 2, 1, 3, 3, 0, 3, 2, 0, 3, 0, 4, 3, 2, 4, 3, 0, 1, 4, 2, 0, 2, 3, 2, 2, 3, 3, 1, 2, 4, 4, 2, 2, 1, 3, 3, 2, 4, 1, 0, 2, 3, 4, 1, 4, 4, 0, 2, 2, 4, 0, 1, 1, 0, 4, 0, 2, 2, 0, 1, 4, 0, 4, 1, 3, 2, 2, 1, 4, 2, 1, 0, 2, 0, 0, 2, 1, 3, 2, 2, 2, 2, 2, 3, 4, 0, 0, 2, 1, 3, 1, 3, 3, 4, 2, 3, 2, 2, 3, 0, 4, 4, 3, 0, 1, 3, 2, 3, 4, 4, 1, 4, 2, 3, 4, 3, 1, 3, 2, 2, 1, 0, 2, 3, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 3, 3, 1, 3, 0, 3, 1, 1, 0, 0, 4, 4, 2, 0, 3, 1, 2, 0, 3, 0, 0, 1, 4, 4, 2, 4, 3, 0, 3, 4, 3, 1, 1, 3, 2, 3, 0, 3, 0, 3, 2, 3, 0, 1, 1, 2, 4, 2, 2, 0, 2, 0, 2, 3, 4, 3, 2, 2, 3, 3, 0, 2, 4, 3, 1, 3, 1, 4, 4, 2, 2, 1, 4, 0, 3, 4, 1, 2, 2, 0, 0, 3, 2, 2, 4, 3, 2, 4, 1, 2, 1, 2, 4, 1, 0, 3, 2, 4, 4, 2, 2, 2, 4, 1, 2, 4, 3, 2, 0, 2, 1, 4, 0, 2, 0, 0, 0, 3, 0, 2, 0, 2, 3, 2, 1, 3, 3, 4, 1, 4, 3, 2, 1, 2, 0, 2, 0, 3, 2, 3, 0, 2, 3, 2, 3, 1, 0, 2, 1, 1, 0, 0, 0, 3]
pubkeycol1257 = [4, 4, 2, 0, 3, 0, 1, 1, 4, 2, 1, 4, 0, 4, 4, 1, 3, 1, 1, 3, 2, 4, 0, 3, 4, 4, 0, 1, 4, 4, 0, 4, 3, 4, 1, 1, 4, 3, 1, 1, 0, 0, 2, 1, 4, 1, 4, 2, 3, 4, 1, 2, 4, 1, 3, 4, 0, 3, 4, 0, 2, 0, 2, 2, 1, 4, 2, 1, 2, 1, 4, 0, 0, 2, 4, 4, 2, 1, 1, 0, 4, 2, 4, 1, 0, 2, 4, 0, 3, 0, 0, 0, 1, 0, 1, 0, 4, 3, 4, 1, 2, 2, 0, 4, 4, 2, 1, 0, 3, 2, 3, 4, 4, 1, 3, 1, 0, 2, 4, 2, 1, 4, 2, 2, 2, 2, 4, 0, 1, 0, 3, 4, 4, 1, 3, 0, 4, 1, 4, 3, 3, 4, 3, 2, 1, 3, 4, 4, 4, 0, 1, 0, 2, 1, 2, 2, 4, 3, 0, 1, 3, 0, 3, 1, 2, 0, 1, 4, 4, 0, 4, 0, 2, 0, 3, 1, 3, 2, 3, 1, 1, 1, 4, 1, 0, 2, 0, 1, 0, 4, 0, 1, 2, 4, 1, 2, 4, 3, 2, 1, 0, 3, 4, 1, 4, 1, 2, 2, 1, 1, 3, 0, 2, 0, 4, 2, 4, 1, 3, 0, 1, 2, 3, 2, 4, 3, 2, 4, 0, 0, 2, 3, 2, 4, 3, 4, 1, 3, 1, 0, 0, 2, 0, 0, 2, 3, 4, 2, 4, 3, 3, 3, 3, 0, 0, 2, 1, 0, 4, 4, 2, 1, 4, 4, 0, 3, 3, 4, 4, 0, 1, 0, 0, 4, 4, 1, 4, 2, 0, 2, 3, 2, 3, 2, 1, 3, 0, 1, 0, 3, 1, 2, 3, 3, 0, 4, 3, 2, 1, 1, 2, 3, 3, 4, 3, 0, 2, 3, 1, 1, 3, 1, 4, 2, 0, 0, 4, 0, 2, 3, 3, 0, 2, 2, 4, 1, 2, 3, 3, 4, 2, 1, 0, 1, 0, 2, 4, 3, 4, 3, 1, 4, 1, 3, 4, 0, 3, 1, 1, 4, 0, 0, 1, 1, 1, 3, 2, 1, 3, 0, 3, 1, 4, 0, 1, 3, 0, 0, 0, 4, 2, 0, 3, 3, 3, 0, 2, 0, 1, 4, 2, 2, 2, 4, 3, 3, 1, 3, 0, 3, 1, 2, 4, 1, 3, 2, 0, 1, 1, 0]
pubkeycol1258 = [4, 0, 2, 0, 3, 2, 2, 0, 3, 2, 3, 3, 4, 2, 0, 3, 2, 3, 0, 1, 1, 3, 3, 3, 2, 4, 3, 0, 3, 0, 1, 4, 1, 0, 1, 4, 2, 0, 1, 1, 2, 1, 3, 0, 4, 3, 2, 0, 3, 1, 1, 2, 1, 4, 1, 2, 4, 3, 0, 3, 3, 1, 3, 2, 4, 1, 0, 1, 4, 2, 2, 4, 0, 2, 0, 4, 0, 3, 3, 0, 0, 1, 4, 2, 4, 1, 1, 3, 1, 0, 3, 4, 1, 1, 3, 4, 0, 0, 2, 3, 1, 4, 2, 0, 0, 4, 1, 2, 1, 3, 4, 1, 3, 3, 3, 2, 1, 4, 1, 4, 0, 4, 0, 1, 3, 1, 4, 0, 1, 4, 1, 4, 2, 1, 0, 3, 0, 0, 1, 1, 3, 2, 2, 4, 1, 0, 0, 1, 3, 3, 0, 0, 3, 3, 0, 3, 3, 1, 0, 4, 2, 0, 2, 1, 3, 1, 0, 2, 2, 1, 3, 2, 0, 0, 2, 4, 2, 1, 0, 1, 3, 0, 4, 3, 4, 2, 2, 3, 0, 3, 4, 2, 4, 0, 4, 3, 1, 1, 3, 4, 3, 0, 1, 1, 1, 1, 1, 4, 1, 2, 4, 1, 2, 3, 1, 3, 1, 3, 0, 3, 0, 0, 3, 3, 0, 4, 4, 4, 0, 2, 4, 2, 4, 3, 4, 3, 1, 3, 2, 2, 4, 3, 1, 1, 0, 1, 0, 4, 2, 3, 2, 4, 3, 2, 4, 4, 1, 2, 1, 0, 2, 4, 3, 2, 2, 4, 4, 2, 1, 4, 3, 0, 3, 3, 1, 1, 2, 0, 4, 1, 4, 4, 0, 4, 3, 4, 1, 4, 2, 4, 4, 4, 4, 0, 4, 2, 1, 1, 2, 1, 0, 2, 0, 0, 3, 4, 3, 2, 4, 4, 3, 2, 4, 2, 1, 3, 1, 2, 4, 3, 1, 0, 2, 4, 4, 0, 0, 4, 1, 4, 4, 3, 0, 1, 3, 1, 1, 1, 3, 1, 3, 2, 2, 1, 0, 4, 0, 4, 1, 1, 4, 4, 1, 0, 3, 4, 4, 4, 2, 2, 2, 2, 4, 1, 0, 0, 2, 3, 3, 3, 0, 2, 0, 2, 4, 2, 4, 3, 3, 0, 0, 4, 4, 4, 4, 4, 2, 0, 2, 0, 1, 4, 2, 1, 2, 3, 4, 4, 2, 2]
pubkeycol1259 = [0, 0, 3, 4, 1, 4, 1, 3, 2, 2, 0, 2, 4, 3, 2, 1, 3, 0, 1, 2, 1, 2, 1, 4, 0, 1, 3, 4, 4, 4, 2, 3, 3, 4, 0, 0, 4, 1, 4, 4, 3, 1, 4, 1, 0, 3, 3, 0, 4, 2, 0, 1, 3, 4, 4, 4, 2, 3, 0, 2, 2, 1, 3, 4, 0, 0, 4, 1, 0, 2, 1, 4, 4, 3, 1, 0, 3, 3, 1, 1, 0, 2, 1, 4, 3, 0, 4, 0, 4, 0, 0, 3, 0, 4, 2, 2, 3, 0, 3, 3, 1, 2, 0, 2, 1, 3, 1, 2, 3, 3, 1, 4, 2, 0, 0, 4, 3, 0, 3, 3, 3, 0, 4, 3, 3, 2, 4, 0, 4, 0, 2, 4, 2, 2, 3, 4, 2, 4, 3, 4, 4, 3, 2, 1, 1, 2, 4, 4, 1, 2, 4, 4, 0, 1, 1, 3, 0, 2, 3, 0, 2, 3, 0, 0, 3, 2, 2, 2, 4, 0, 1, 2, 2, 3, 2, 4, 4, 4, 0, 3, 1, 1, 2, 3, 3, 1, 4, 4, 1, 1, 2, 1, 3, 2, 1, 0, 2, 3, 1, 1, 0, 2, 4, 4, 3, 4, 0, 1, 0, 3, 0, 2, 4, 0, 1, 1, 3, 4, 1, 0, 2, 1, 1, 2, 4, 1, 3, 2, 1, 0, 2, 4, 0, 2, 4, 1, 1, 3, 2, 4, 2, 1, 3, 3, 0, 3, 0, 2, 0, 3, 3, 1, 3, 2, 0, 0, 2, 0, 4, 3, 1, 1, 3, 4, 4, 2, 4, 1, 1, 4, 2, 3, 1, 4, 1, 2, 4, 3, 4, 0, 3, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 3, 1, 1, 3, 2, 2, 3, 2, 1, 4, 0, 1, 1, 1, 1, 0, 4, 2, 0, 2, 2, 4, 3, 4, 0, 3, 4, 0, 0, 1, 0, 1, 1, 3, 2, 1, 1, 4, 0, 4, 4, 2, 3, 4, 2, 4, 2, 1, 1, 2, 0, 3, 4, 1, 4, 3, 0, 1, 1, 0, 0, 0, 3, 3, 2, 0, 4, 3, 0, 3, 1, 3, 0, 0, 4, 3, 3, 2, 1, 0, 2, 0, 0, 0, 3, 1, 3, 1, 4, 3, 2, 2, 1, 4, 1, 0, 4, 4, 0, 4, 4, 3, 3, 2, 4, 3, 4, 2, 2]
pubkeycol1260 = [3, 2, 0, 4, 4, 4, 0, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 1, 0, 1, 4, 3, 0, 1, 4, 4, 4, 0, 0, 1, 0, 0, 1, 0, 1, 0, 3, 1, 1, 2, 4, 1, 2, 1, 4, 4, 3, 2, 1, 2, 0, 2, 4, 0, 4, 1, 3, 2, 1, 2, 2, 3, 0, 3, 3, 2, 0, 0, 2, 1, 2, 2, 4, 4, 1, 3, 4, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 3, 1, 3, 3, 2, 4, 1, 0, 4, 4, 4, 2, 2, 4, 3, 3, 3, 4, 4, 4, 2, 4, 4, 4, 0, 1, 2, 4, 1, 1, 3, 3, 3, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 4, 1, 4, 3, 2, 2, 4, 2, 2, 2, 4, 0, 1, 4, 3, 4, 4, 3, 0, 2, 1, 0, 2, 0, 4, 4, 2, 1, 3, 0, 1, 1, 0, 1, 3, 2, 3, 1, 4, 0, 4, 0, 3, 0, 2, 2, 2, 4, 3, 4, 2, 2, 4, 1, 0, 1, 2, 1, 4, 3, 0, 4, 1, 3, 0, 4, 0, 1, 3, 3, 3, 3, 3, 0, 3, 4, 3, 1, 2, 1, 1, 4, 1, 1, 1, 2, 3, 4, 0, 2, 1, 4, 2, 0, 2, 0, 3, 4, 1, 4, 0, 1, 0, 1, 4, 1, 2, 4, 1, 2, 3, 4, 3, 0, 1, 2, 4, 2, 1, 1, 4, 4, 0, 2, 2, 0, 3, 1, 3, 1, 2, 0, 3, 3, 0, 3, 2, 2, 4, 2, 3, 1, 4, 4, 1, 0, 0, 3, 0, 0, 2, 1, 3, 4, 2, 2, 4, 3, 3, 3, 2, 4, 3, 2, 1, 4, 0, 1, 3, 4, 4, 0, 1, 1, 4, 0, 0, 1, 4, 3, 4, 2, 2, 2, 4, 2, 3, 4, 1, 2, 4, 1, 2, 2, 2, 4, 3, 3, 3, 0, 1, 2, 2, 3, 2, 1, 1, 2, 3, 1, 2, 0, 0, 0, 2, 4, 1, 4, 3, 2, 0, 1, 0, 0, 2, 2, 0, 4, 4, 1, 4, 4, 3, 4, 3, 3, 1, 3, 3, 1, 3, 4, 4, 2, 4, 1, 3, 3, 2, 1, 2, 1, 4, 0, 4, 2, 0, 2, 1, 3, 2, 3, 4, 0, 3, 3, 3]
pubkeycol1261 = [0, 0, 3, 2, 1, 1, 0, 2, 1, 0, 4, 1, 1, 2, 4, 0, 4, 1, 4, 2, 0, 0, 1, 0, 1, 1, 3, 3, 4, 0, 2, 1, 2, 2, 2, 4, 1, 3, 3, 2, 3, 1, 1, 2, 2, 2, 2, 0, 2, 4, 0, 0, 0, 0, 1, 1, 2, 1, 3, 0, 4, 2, 4, 0, 0, 1, 2, 1, 3, 4, 1, 0, 1, 0, 0, 1, 0, 0, 4, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 3, 2, 2, 1, 1, 0, 4, 1, 2, 2, 4, 0, 3, 0, 1, 4, 2, 2, 0, 0, 0, 4, 0, 1, 3, 0, 2, 2, 4, 2, 0, 3, 1, 4, 0, 3, 4, 2, 0, 0, 3, 0, 0, 4, 3, 2, 3, 4, 0, 3, 1, 0, 0, 1, 1, 0, 0, 1, 3, 1, 4, 2, 3, 4, 3, 2, 4, 4, 2, 2, 1, 4, 0, 0, 4, 0, 4, 4, 2, 1, 1, 3, 3, 0, 1, 3, 1, 0, 1, 4, 2, 3, 1, 1, 1, 4, 3, 4, 4, 1, 0, 2, 1, 0, 3, 0, 0, 2, 1, 2, 1, 3, 4, 3, 2, 0, 3, 4, 3, 2, 3, 2, 2, 3, 2, 3, 2, 4, 2, 0, 4, 1, 2, 0, 1, 0, 3, 4, 0, 2, 1, 2, 4, 3, 2, 3, 2, 1, 2, 3, 1, 2, 0, 3, 4, 0, 4, 3, 4, 3, 1, 3, 1, 0, 1, 1, 3, 3, 0, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 0, 2, 1, 1, 0, 4, 2, 4, 3, 3, 1, 2, 0, 2, 2, 1, 3, 3, 2, 2, 4, 2, 2, 0, 3, 4, 3, 0, 2, 4, 2, 3, 3, 0, 1, 0, 1, 4, 2, 3, 3, 2, 1, 1, 0, 3, 1, 1, 0, 4, 4, 3, 1, 0, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 1, 4, 2, 2, 0, 3, 0, 3, 1, 1, 0, 4, 2, 1, 2, 3, 0, 1, 1, 4, 0, 1, 0, 4, 3, 1, 1, 3, 0, 2, 0, 2, 0, 0, 4, 0, 2, 2, 3, 1, 1, 0, 4, 2, 2, 2, 1, 0, 4, 4, 4, 0, 4, 0, 2]
pubkeycol1262 = [2, 1, 0, 0, 2, 0, 0, 3, 3, 3, 2, 1, 4, 4, 4, 4, 0, 1, 4, 1, 0, 2, 2, 4, 0, 4, 2, 0, 0, 3, 1, 2, 0, 1, 4, 4, 3, 4, 2, 1, 3, 3, 3, 1, 0, 2, 1, 1, 2, 2, 3, 3, 1, 4, 0, 0, 2, 2, 4, 1, 0, 3, 1, 2, 3, 1, 4, 0, 0, 4, 2, 0, 2, 1, 2, 1, 2, 1, 2, 3, 2, 1, 3, 4, 3, 2, 3, 3, 1, 4, 1, 0, 2, 1, 2, 3, 4, 4, 3, 0, 1, 4, 4, 4, 0, 4, 2, 2, 4, 3, 1, 3, 4, 1, 1, 0, 2, 0, 0, 4, 4, 4, 1, 3, 2, 1, 2, 1, 3, 4, 0, 4, 3, 4, 0, 2, 2, 4, 0, 1, 0, 2, 2, 0, 3, 2, 3, 4, 3, 2, 4, 4, 2, 0, 3, 2, 2, 1, 1, 3, 3, 1, 1, 3, 0, 1, 2, 3, 4, 0, 2, 0, 4, 3, 0, 0, 2, 0, 2, 0, 4, 0, 3, 2, 3, 4, 2, 0, 2, 2, 0, 1, 4, 2, 2, 1, 2, 1, 0, 2, 4, 3, 0, 0, 2, 4, 3, 0, 3, 0, 2, 2, 1, 0, 2, 3, 4, 4, 4, 0, 4, 3, 1, 3, 2, 1, 4, 0, 0, 1, 3, 1, 3, 1, 1, 1, 0, 3, 4, 3, 3, 2, 3, 3, 0, 4, 2, 2, 0, 0, 4, 3, 2, 1, 4, 2, 3, 1, 0, 1, 4, 4, 3, 0, 4, 2, 4, 1, 0, 0, 1, 1, 4, 4, 2, 0, 0, 1, 4, 2, 0, 1, 3, 3, 4, 2, 0, 0, 3, 2, 3, 4, 2, 4, 1, 4, 3, 2, 0, 1, 0, 0, 4, 2, 3, 3, 0, 0, 4, 1, 0, 0, 0, 1, 2, 0, 2, 2, 3, 2, 3, 2, 0, 0, 3, 2, 2, 1, 3, 4, 2, 3, 2, 3, 2, 0, 0, 3, 3, 2, 3, 4, 0, 1, 1, 2, 4, 1, 4, 4, 1, 3, 0, 2, 3, 3, 2, 4, 1, 0, 0, 1, 1, 0, 1, 2, 4, 2, 0, 4, 4, 2, 4, 0, 0, 3, 4, 3, 1, 0, 3, 3, 4, 0, 3, 2, 4, 2, 3, 0, 3, 2, 1, 1, 2, 4, 2, 4, 1, 1]
pubkeycol1263 = [1, 4, 1, 2, 0, 4, 3, 2, 1, 4, 0, 1, 0, 3, 0, 0, 4, 4, 4, 3, 2, 4, 2, 3, 3, 3, 4, 0, 2, 4, 0, 2, 0, 0, 0, 1, 0, 2, 2, 3, 3, 1, 2, 4, 0, 2, 0, 3, 4, 1, 4, 3, 3, 4, 3, 2, 0, 0, 0, 3, 2, 3, 3, 2, 4, 4, 3, 3, 3, 2, 3, 0, 2, 1, 3, 4, 2, 4, 0, 3, 1, 4, 0, 4, 4, 2, 3, 1, 4, 1, 0, 4, 1, 1, 1, 0, 4, 2, 0, 0, 1, 0, 0, 3, 1, 0, 0, 3, 1, 2, 3, 0, 1, 1, 3, 3, 3, 4, 2, 4, 4, 1, 4, 3, 1, 1, 0, 4, 3, 0, 4, 3, 0, 3, 1, 3, 4, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 2, 0, 3, 1, 3, 1, 0, 0, 0, 4, 2, 4, 3, 4, 0, 0, 2, 0, 4, 1, 0, 1, 0, 0, 0, 3, 0, 2, 3, 1, 2, 2, 4, 1, 2, 1, 1, 2, 4, 1, 3, 0, 0, 2, 4, 4, 4, 1, 4, 0, 2, 4, 0, 1, 3, 1, 0, 2, 3, 3, 4, 1, 4, 4, 1, 2, 1, 3, 3, 1, 1, 0, 1, 2, 4, 0, 0, 3, 2, 2, 3, 2, 0, 4, 2, 0, 1, 3, 4, 2, 4, 1, 0, 3, 1, 0, 4, 3, 2, 0, 2, 0, 4, 1, 1, 4, 0, 0, 2, 1, 3, 1, 1, 4, 0, 4, 1, 2, 3, 2, 0, 2, 1, 1, 3, 2, 4, 0, 1, 0, 1, 4, 4, 1, 2, 3, 4, 1, 4, 2, 2, 2, 0, 4, 1, 4, 4, 4, 4, 2, 2, 1, 0, 1, 3, 0, 1, 1, 2, 2, 1, 3, 3, 1, 3, 2, 0, 0, 1, 1, 1, 0, 1, 2, 3, 2, 3, 4, 1, 1, 4, 4, 4, 2, 3, 3, 1, 0, 0, 3, 1, 2, 1, 2, 3, 1, 2, 4, 4, 3, 1, 3, 3, 4, 2, 0, 0, 4, 3, 1, 0, 2, 1, 1, 4, 4, 4, 4, 4, 3, 0, 1, 2, 3, 0, 4, 4, 4, 2, 3, 3, 0, 4, 2, 0, 0, 3, 3, 4, 1, 2, 1, 0, 1, 2, 4, 4, 4, 3, 3, 2, 3]
pubkeycol1264 = [0, 4, 4, 1, 3, 0, 2, 0, 4, 1, 3, 4, 2, 4, 4, 3, 2, 4, 1, 2, 1, 0, 2, 2, 0, 2, 2, 3, 0, 2, 3, 3, 4, 2, 0, 2, 3, 3, 1, 2, 4, 4, 0, 0, 3, 0, 3, 1, 3, 2, 1, 0, 4, 4, 1, 4, 3, 0, 4, 1, 0, 3, 4, 0, 1, 0, 1, 3, 3, 0, 3, 3, 2, 0, 4, 1, 1, 3, 2, 4, 1, 0, 1, 1, 3, 0, 4, 1, 3, 3, 2, 0, 4, 1, 4, 1, 1, 3, 4, 0, 4, 1, 4, 0, 4, 4, 0, 1, 4, 1, 1, 0, 1, 0, 2, 1, 0, 4, 4, 4, 2, 1, 0, 0, 2, 3, 0, 3, 0, 3, 4, 4, 2, 2, 4, 2, 1, 3, 0, 2, 2, 1, 1, 2, 1, 1, 4, 1, 0, 3, 2, 4, 3, 2, 2, 2, 3, 1, 0, 3, 3, 2, 1, 2, 4, 3, 4, 0, 3, 2, 2, 0, 3, 0, 1, 4, 0, 2, 3, 0, 4, 4, 4, 2, 2, 3, 1, 0, 3, 1, 2, 3, 1, 2, 3, 4, 2, 2, 3, 3, 0, 4, 0, 2, 1, 0, 4, 2, 3, 2, 2, 1, 0, 0, 1, 0, 0, 2, 4, 3, 2, 4, 1, 1, 1, 4, 4, 4, 2, 3, 2, 3, 2, 1, 3, 0, 2, 3, 3, 1, 3, 4, 2, 2, 2, 3, 4, 4, 1, 4, 3, 1, 2, 2, 2, 2, 3, 3, 1, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 4, 3, 2, 0, 0, 4, 1, 3, 2, 1, 3, 4, 3, 2, 0, 1, 0, 1, 1, 1, 4, 0, 4, 0, 3, 3, 4, 3, 0, 1, 2, 1, 4, 3, 2, 2, 3, 3, 3, 1, 3, 2, 4, 0, 2, 2, 2, 2, 4, 0, 4, 4, 3, 3, 1, 4, 4, 1, 4, 4, 4, 4, 0, 0, 2, 1, 3, 3, 0, 3, 4, 3, 3, 1, 2, 3, 0, 4, 3, 1, 1, 4, 3, 0, 1, 3, 2, 2, 2, 0, 4, 3, 4, 2, 4, 0, 3, 4, 1, 2, 2, 4, 1, 4, 4, 2, 3, 2, 3, 4, 2, 4, 1, 2, 2, 3, 1, 0, 2, 2, 1, 4, 2, 2, 3, 3, 3, 0, 1, 4, 2]
pubkeycol1265 = [0, 1, 3, 0, 2, 0, 2, 1, 4, 2, 2, 1, 3, 4, 1, 1, 4, 1, 1, 2, 4, 1, 2, 0, 2, 4, 3, 0, 4, 1, 4, 4, 4, 4, 1, 2, 0, 4, 3, 0, 4, 3, 1, 1, 4, 0, 4, 2, 0, 0, 3, 3, 1, 3, 3, 3, 3, 3, 4, 0, 3, 4, 3, 1, 2, 0, 2, 2, 2, 4, 2, 3, 1, 1, 0, 3, 3, 4, 1, 4, 0, 4, 4, 3, 2, 1, 0, 2, 1, 4, 2, 2, 3, 4, 2, 1, 0, 3, 3, 2, 3, 4, 2, 2, 3, 3, 2, 2, 3, 1, 4, 4, 2, 4, 0, 4, 1, 3, 1, 1, 3, 4, 3, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 4, 4, 2, 0, 0, 1, 3, 3, 4, 3, 3, 2, 3, 2, 1, 0, 1, 4, 1, 3, 1, 2, 2, 4, 3, 2, 4, 3, 1, 0, 2, 2, 1, 4, 1, 2, 2, 2, 4, 2, 4, 2, 0, 1, 2, 2, 2, 3, 2, 3, 4, 1, 4, 2, 2, 1, 3, 4, 2, 0, 1, 1, 3, 2, 0, 0, 4, 3, 0, 1, 2, 4, 3, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 4, 3, 3, 3, 4, 2, 3, 0, 1, 4, 1, 4, 3, 3, 0, 1, 0, 1, 1, 2, 2, 3, 4, 1, 4, 3, 1, 3, 1, 0, 4, 1, 4, 3, 3, 3, 0, 3, 0, 3, 1, 1, 3, 4, 1, 4, 1, 2, 4, 2, 4, 4, 3, 2, 3, 2, 4, 0, 3, 3, 0, 4, 0, 2, 4, 1, 2, 0, 3, 2, 4, 4, 2, 4, 0, 1, 3, 3, 1, 2, 1, 3, 3, 3, 0, 4, 3, 3, 1, 2, 3, 0, 1, 4, 0, 0, 3, 0, 4, 3, 3, 4, 1, 1, 3, 0, 2, 2, 2, 0, 1, 0, 4, 2, 0, 0, 2, 2, 0, 4, 2, 2, 3, 4, 1, 0, 1, 3, 4, 0, 4, 1, 3, 2, 4, 3, 2, 3, 2, 3, 4, 0, 0, 1, 3, 1, 4, 2, 0, 2, 4, 3, 0, 4, 0, 0, 2, 3, 1, 1, 0, 2, 2, 2, 3, 1, 1, 0, 3, 4, 4, 4, 1, 3, 2, 3, 2, 1, 1, 3, 2, 0, 3, 0]
pubkeycol1266 = [3, 4, 2, 0, 0, 4, 3, 1, 4, 3, 3, 0, 2, 3, 2, 2, 2, 4, 3, 1, 3, 4, 4, 4, 2, 3, 4, 3, 4, 2, 1, 4, 3, 0, 4, 1, 1, 1, 4, 4, 1, 3, 0, 1, 0, 2, 2, 4, 4, 3, 1, 4, 0, 3, 3, 4, 2, 3, 4, 3, 3, 1, 3, 2, 2, 0, 0, 0, 4, 3, 4, 0, 4, 2, 1, 2, 1, 3, 4, 3, 4, 1, 3, 3, 2, 2, 1, 0, 4, 3, 0, 2, 0, 1, 4, 2, 2, 3, 1, 4, 2, 4, 0, 3, 0, 4, 2, 4, 3, 4, 4, 2, 1, 0, 1, 4, 4, 2, 4, 4, 0, 4, 2, 4, 4, 1, 4, 1, 4, 2, 4, 2, 2, 1, 0, 2, 1, 1, 4, 2, 3, 2, 1, 4, 4, 2, 2, 4, 2, 0, 1, 0, 0, 2, 1, 3, 3, 0, 0, 1, 1, 0, 0, 1, 4, 0, 0, 1, 2, 4, 4, 3, 0, 0, 1, 0, 2, 1, 0, 4, 4, 3, 1, 0, 4, 1, 2, 0, 1, 1, 2, 2, 1, 3, 2, 3, 0, 2, 3, 0, 3, 1, 3, 3, 0, 3, 2, 0, 3, 1, 0, 3, 0, 3, 1, 1, 2, 0, 1, 4, 0, 3, 2, 3, 0, 0, 0, 0, 3, 1, 1, 4, 3, 0, 4, 4, 1, 0, 3, 1, 4, 2, 4, 4, 2, 2, 2, 0, 2, 3, 0, 2, 0, 4, 1, 0, 3, 2, 1, 2, 2, 0, 1, 0, 1, 3, 1, 0, 4, 1, 2, 4, 3, 2, 1, 4, 2, 2, 0, 4, 3, 4, 3, 4, 0, 0, 3, 1, 4, 2, 1, 2, 4, 2, 2, 0, 0, 0, 3, 4, 2, 0, 0, 0, 3, 4, 4, 3, 4, 2, 2, 3, 0, 4, 0, 3, 1, 3, 3, 4, 0, 4, 2, 1, 1, 3, 2, 3, 0, 0, 1, 2, 2, 3, 4, 1, 2, 1, 3, 4, 1, 3, 2, 2, 3, 0, 1, 1, 3, 4, 1, 4, 0, 2, 4, 0, 1, 1, 1, 2, 0, 4, 2, 4, 3, 0, 3, 0, 2, 2, 3, 4, 3, 4, 1, 2, 3, 4, 2, 4, 0, 0, 3, 1, 1, 4, 3, 0, 2, 1, 2, 3, 0, 0, 1, 0, 3, 0, 0, 3]
pubkeycol1267 = [2, 3, 0, 4, 2, 2, 4, 4, 2, 1, 1, 4, 4, 1, 4, 2, 4, 1, 4, 3, 2, 1, 0, 1, 1, 3, 3, 4, 2, 4, 0, 4, 2, 3, 1, 1, 2, 3, 0, 0, 2, 2, 4, 1, 1, 3, 1, 0, 3, 3, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 4, 1, 3, 1, 1, 3, 3, 3, 1, 4, 0, 0, 1, 1, 0, 3, 3, 4, 1, 2, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 3, 1, 1, 2, 0, 3, 0, 3, 1, 1, 1, 1, 0, 1, 4, 2, 3, 3, 4, 4, 0, 2, 0, 0, 4, 3, 0, 3, 3, 0, 1, 0, 1, 1, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 1, 3, 0, 0, 3, 2, 0, 3, 3, 4, 4, 3, 0, 3, 3, 3, 2, 0, 4, 3, 3, 3, 4, 2, 0, 4, 4, 4, 3, 1, 0, 2, 1, 3, 0, 4, 2, 3, 4, 0, 2, 2, 4, 0, 2, 0, 3, 4, 1, 1, 4, 3, 0, 4, 4, 2, 2, 2, 2, 2, 1, 4, 0, 1, 4, 3, 4, 0, 2, 2, 1, 3, 1, 0, 3, 3, 4, 4, 1, 2, 3, 0, 4, 2, 3, 4, 1, 1, 0, 2, 0, 1, 4, 0, 4, 4, 0, 4, 1, 4, 3, 4, 0, 1, 4, 4, 2, 2, 1, 1, 0, 2, 4, 4, 1, 4, 4, 0, 2, 2, 3, 0, 4, 3, 3, 1, 0, 1, 4, 3, 1, 2, 4, 3, 0, 2, 3, 1, 4, 0, 1, 0, 2, 3, 3, 0, 3, 1, 0, 2, 0, 2, 1, 2, 3, 2, 3, 0, 4, 2, 4, 0, 0, 2, 0, 1, 1, 0, 3, 3, 2, 2, 1, 2, 1, 3, 0, 0, 3, 1, 1, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 0, 4, 0, 0, 1, 0, 3, 0, 2, 4, 0, 0, 0, 1, 3, 1, 2, 2, 4, 0, 0, 2, 3, 0, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 4, 0, 3, 0, 2, 1, 3, 2, 4, 4, 3, 1, 0, 2, 3, 1, 4, 0, 1, 4, 1, 4, 1, 1, 1, 1, 0, 4, 0]
pubkeycol1268 = [2, 1, 0, 0, 1, 1, 3, 0, 4, 3, 1, 2, 3, 3, 0, 1, 4, 1, 2, 2, 4, 4, 3, 4, 3, 1, 2, 4, 2, 4, 2, 3, 1, 1, 0, 4, 1, 1, 2, 4, 3, 4, 1, 3, 1, 2, 2, 0, 4, 0, 3, 1, 2, 0, 1, 1, 0, 3, 4, 3, 2, 0, 0, 3, 3, 2, 0, 1, 4, 0, 1, 0, 2, 2, 2, 3, 3, 3, 3, 1, 0, 1, 1, 1, 2, 1, 3, 3, 4, 2, 3, 0, 1, 3, 1, 2, 0, 0, 4, 0, 0, 1, 0, 0, 2, 0, 2, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 3, 4, 0, 0, 3, 4, 4, 3, 4, 2, 1, 1, 0, 0, 3, 3, 3, 2, 1, 1, 1, 4, 3, 0, 0, 0, 3, 1, 0, 4, 3, 3, 2, 0, 3, 1, 1, 3, 2, 4, 1, 4, 0, 0, 1, 4, 2, 4, 0, 1, 2, 0, 3, 2, 3, 0, 2, 3, 0, 4, 2, 1, 2, 3, 1, 2, 2, 4, 0, 2, 4, 2, 1, 4, 2, 1, 3, 4, 3, 2, 0, 3, 4, 3, 2, 1, 4, 2, 2, 0, 0, 2, 0, 4, 0, 0, 0, 4, 2, 0, 3, 3, 0, 4, 4, 3, 2, 1, 2, 4, 3, 4, 2, 3, 4, 4, 1, 1, 2, 1, 2, 2, 4, 0, 0, 3, 3, 3, 4, 3, 0, 1, 3, 3, 4, 2, 1, 0, 1, 3, 4, 2, 2, 1, 3, 4, 4, 3, 0, 3, 4, 0, 2, 0, 4, 4, 2, 2, 4, 0, 1, 3, 0, 4, 3, 4, 3, 3, 4, 3, 0, 3, 0, 4, 2, 1, 3, 2, 0, 0, 4, 1, 1, 4, 4, 1, 2, 2, 2, 2, 3, 0, 0, 1, 1, 1, 1, 0, 1, 2, 4, 4, 1, 4, 0, 0, 3, 3, 1, 0, 1, 2, 0, 4, 3, 2, 1, 0, 1, 2, 1, 1, 4, 2, 3, 4, 2, 0, 3, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 3, 2, 3, 2, 3, 1, 4, 2, 3, 3, 2, 1, 4, 4, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 2, 4, 0, 3, 0, 4, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 3, 1, 2]
pubkeycol1269 = [2, 2, 2, 2, 1, 3, 2, 1, 2, 2, 0, 3, 2, 4, 0, 0, 3, 4, 0, 4, 0, 3, 3, 2, 2, 3, 2, 4, 0, 3, 2, 2, 2, 2, 0, 3, 3, 4, 4, 0, 3, 4, 1, 1, 1, 2, 0, 1, 3, 1, 4, 3, 1, 1, 0, 4, 1, 1, 4, 2, 2, 2, 1, 1, 2, 4, 3, 1, 4, 0, 0, 0, 3, 0, 4, 2, 4, 0, 4, 4, 3, 2, 2, 4, 3, 4, 2, 4, 2, 1, 0, 3, 1, 1, 3, 3, 3, 0, 4, 2, 2, 3, 0, 4, 3, 4, 1, 0, 3, 3, 0, 3, 1, 4, 3, 1, 4, 1, 0, 3, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 4, 4, 2, 4, 0, 3, 3, 1, 0, 4, 2, 2, 4, 4, 3, 3, 1, 3, 3, 1, 4, 4, 1, 4, 0, 1, 4, 4, 1, 2, 4, 1, 4, 3, 3, 3, 4, 0, 3, 2, 1, 1, 1, 2, 4, 2, 4, 0, 4, 3, 4, 2, 3, 2, 1, 4, 4, 1, 2, 0, 1, 0, 0, 2, 0, 3, 1, 0, 0, 4, 2, 3, 3, 1, 2, 0, 4, 0, 2, 3, 0, 2, 3, 4, 3, 0, 4, 4, 4, 0, 1, 3, 3, 3, 1, 4, 0, 0, 3, 4, 2, 3, 0, 4, 0, 1, 3, 0, 0, 1, 2, 1, 2, 4, 3, 1, 2, 2, 0, 0, 2, 1, 3, 3, 3, 4, 4, 3, 3, 0, 4, 0, 3, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 4, 1, 3, 2, 4, 2, 3, 4, 3, 2, 0, 1, 3, 3, 0, 4, 2, 4, 0, 0, 2, 0, 3, 0, 0, 1, 3, 2, 0, 3, 1, 3, 4, 2, 2, 4, 0, 3, 4, 0, 2, 0, 3, 1, 3, 3, 1, 1, 0, 4, 4, 2, 4, 1, 4, 3, 4, 3, 0, 2, 1, 3, 1, 4, 1, 1, 1, 2, 3, 4, 4, 1, 1, 2, 0, 4, 0, 1, 1, 0, 0, 1, 0, 0, 4, 1, 2, 1, 4, 1, 2, 1, 0, 4, 3, 1, 3, 1, 3, 2, 1, 4, 3, 1, 0, 4, 2, 0, 2, 2, 2, 0]
pubkeycol1270 = [2, 0, 4, 2, 1, 1, 1, 4, 3, 2, 2, 4, 0, 0, 0, 0, 2, 1, 1, 3, 0, 2, 2, 1, 4, 2, 3, 4, 4, 4, 4, 1, 4, 1, 3, 1, 1, 4, 0, 3, 1, 3, 0, 1, 4, 1, 3, 2, 3, 3, 4, 1, 4, 4, 2, 0, 3, 3, 1, 4, 4, 2, 0, 2, 4, 3, 1, 2, 2, 0, 4, 0, 3, 4, 2, 4, 0, 4, 1, 0, 0, 4, 1, 3, 1, 1, 3, 2, 2, 2, 0, 1, 1, 0, 3, 3, 2, 1, 4, 4, 3, 4, 2, 1, 3, 4, 1, 2, 1, 0, 0, 0, 0, 4, 3, 3, 3, 1, 3, 1, 2, 4, 2, 1, 4, 3, 3, 0, 2, 3, 3, 3, 2, 3, 0, 1, 4, 4, 0, 1, 3, 4, 2, 0, 3, 2, 3, 1, 2, 3, 0, 1, 4, 2, 4, 1, 3, 0, 2, 1, 3, 4, 0, 3, 2, 4, 3, 1, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 1, 1, 3, 4, 1, 0, 4, 1, 1, 3, 0, 4, 1, 1, 2, 1, 4, 0, 2, 4, 2, 3, 0, 3, 2, 0, 3, 1, 4, 3, 4, 3, 3, 0, 3, 4, 1, 2, 3, 3, 2, 4, 1, 1, 0, 1, 0, 1, 0, 1, 4, 4, 4, 2, 1, 4, 3, 4, 0, 0, 2, 1, 3, 3, 1, 3, 3, 4, 1, 3, 0, 1, 4, 2, 2, 0, 2, 4, 1, 2, 1, 0, 4, 1, 0, 4, 1, 2, 3, 0, 0, 0, 1, 0, 4, 1, 1, 0, 3, 1, 4, 3, 2, 4, 1, 0, 3, 3, 1, 3, 1, 2, 3, 3, 2, 4, 1, 3, 0, 0, 0, 3, 4, 0, 0, 4, 4, 0, 3, 4, 0, 3, 2, 2, 3, 4, 4, 2, 0, 3, 0, 3, 1, 2, 0, 0, 0, 2, 1, 4, 2, 2, 2, 1, 3, 3, 0, 1, 2, 2, 1, 3, 1, 4, 2, 4, 0, 3, 3, 4, 1, 4, 1, 1, 1, 2, 4, 1, 4, 0, 3, 3, 0, 2, 4, 4, 1, 4, 4, 2, 4, 2, 0, 1, 4, 0, 1, 1, 0, 0, 0, 3, 1, 2, 0, 2, 4, 0, 3, 1, 0, 0, 2, 3, 4, 4, 0, 3, 2, 1, 1, 4]
pubkeycol1271 = [0, 0, 1, 0, 1, 1, 0, 3, 4, 2, 4, 2, 4, 1, 2, 3, 4, 0, 0, 0, 0, 2, 1, 1, 0, 0, 4, 0, 4, 3, 0, 2, 2, 4, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 3, 4, 1, 4, 1, 0, 3, 1, 3, 2, 0, 3, 0, 1, 3, 3, 4, 1, 3, 0, 3, 3, 3, 1, 4, 0, 3, 3, 4, 4, 1, 0, 2, 2, 4, 3, 1, 0, 2, 2, 3, 4, 3, 0, 1, 1, 4, 1, 2, 1, 4, 2, 0, 4, 1, 1, 3, 4, 3, 4, 2, 3, 1, 2, 0, 0, 1, 4, 2, 2, 3, 4, 0, 2, 2, 1, 2, 1, 3, 4, 3, 2, 3, 3, 3, 0, 2, 0, 4, 2, 4, 4, 4, 4, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 4, 1, 4, 4, 1, 2, 1, 2, 3, 3, 0, 1, 1, 0, 0, 2, 4, 0, 1, 4, 4, 3, 3, 3, 1, 0, 3, 0, 3, 0, 1, 4, 0, 2, 2, 0, 0, 2, 4, 1, 2, 3, 1, 4, 3, 1, 3, 3, 0, 2, 0, 4, 4, 0, 2, 0, 3, 0, 3, 4, 2, 4, 0, 4, 1, 3, 4, 3, 2, 4, 1, 4, 4, 0, 1, 0, 3, 0, 1, 4, 3, 3, 3, 1, 2, 0, 4, 1, 1, 4, 1, 0, 3, 0, 2, 3, 2, 2, 1, 1, 0, 3, 0, 4, 3, 3, 4, 4, 4, 4, 1, 2, 4, 0, 3, 1, 3, 3, 2, 4, 0, 3, 3, 0, 1, 3, 2, 4, 4, 1, 2, 2, 1, 2, 4, 4, 4, 4, 4, 2, 3, 0, 4, 1, 1, 2, 4, 4, 1, 0, 4, 0, 1, 0, 3, 4, 3, 0, 3, 0, 3, 1, 3, 2, 0, 3, 0, 0, 1, 0, 4, 1, 3, 1, 2, 3, 4, 1, 3, 3, 3, 4, 3, 0, 4, 4, 0, 4, 3, 1, 2, 1, 1, 1, 1, 0, 4, 0, 2, 3, 4, 3, 2, 3, 0, 0, 3, 2, 3, 2, 3, 0, 0, 2, 4, 2, 0, 2, 4, 1, 0, 0, 4, 2, 2, 1, 1, 4, 2, 2, 1, 0, 4, 1, 0, 0, 2, 3, 2, 0, 2, 0, 2, 4, 3, 3, 0, 4, 4, 1, 4, 3]
pubkeycol1272 = [0, 1, 1, 3, 2, 0, 4, 0, 4, 2, 3, 3, 3, 3, 3, 1, 0, 3, 4, 3, 3, 3, 3, 1, 1, 2, 3, 1, 2, 2, 1, 2, 4, 1, 0, 2, 2, 2, 0, 1, 0, 4, 3, 3, 0, 4, 1, 0, 0, 2, 3, 3, 4, 0, 1, 1, 1, 3, 1, 2, 0, 0, 4, 1, 2, 1, 2, 2, 3, 4, 2, 3, 0, 4, 3, 2, 1, 2, 3, 0, 1, 1, 0, 3, 3, 4, 4, 2, 1, 3, 4, 1, 1, 0, 2, 4, 0, 0, 4, 4, 1, 2, 1, 2, 3, 2, 2, 0, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 4, 0, 1, 2, 3, 2, 3, 2, 3, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 4, 2, 3, 3, 3, 2, 0, 4, 3, 0, 2, 1, 3, 2, 2, 1, 1, 1, 3, 0, 3, 2, 4, 0, 0, 2, 2, 2, 0, 2, 2, 4, 3, 2, 3, 1, 1, 2, 1, 2, 4, 0, 1, 4, 2, 4, 0, 3, 3, 1, 0, 3, 1, 3, 0, 1, 0, 0, 3, 3, 2, 2, 1, 4, 1, 4, 4, 1, 1, 4, 1, 4, 3, 1, 1, 3, 0, 4, 3, 4, 1, 0, 3, 2, 2, 2, 4, 0, 1, 1, 4, 2, 0, 3, 4, 1, 4, 1, 3, 4, 4, 2, 1, 4, 4, 4, 0, 3, 2, 0, 1, 2, 4, 2, 3, 1, 1, 2, 0, 0, 1, 0, 4, 3, 3, 3, 0, 1, 2, 4, 0, 2, 3, 1, 0, 3, 2, 2, 2, 3, 4, 0, 2, 3, 2, 3, 3, 0, 1, 3, 1, 3, 2, 4, 2, 3, 0, 3, 1, 3, 4, 4, 3, 4, 1, 1, 2, 2, 3, 1, 3, 1, 4, 0, 2, 2, 4, 4, 2, 1, 1, 4, 1, 4, 3, 0, 2, 2, 3, 3, 3, 0, 2, 1, 1, 4, 2, 4, 1, 3, 2, 2, 2, 3, 0, 2, 1, 3, 1, 2, 4, 4, 3, 0, 2, 0, 3, 4, 3, 2, 0, 2, 1, 1, 2, 3, 1, 3, 1, 1, 1, 0, 4, 3, 3, 0, 1, 3, 0, 1, 0, 4, 4, 3, 2, 4, 4, 3, 1, 4, 1, 3, 3, 2, 2, 4, 4, 1, 3, 3, 2]
pubkeycol1273 = [3, 4, 4, 2, 1, 4, 3, 0, 1, 3, 0, 1, 4, 3, 2, 4, 3, 0, 2, 2, 3, 4, 1, 2, 4, 4, 1, 0, 3, 2, 4, 1, 2, 4, 0, 0, 2, 4, 1, 0, 0, 2, 3, 2, 4, 2, 2, 3, 2, 4, 1, 2, 3, 0, 3, 3, 2, 4, 4, 1, 4, 2, 1, 4, 4, 0, 2, 1, 0, 4, 2, 2, 3, 2, 0, 2, 2, 0, 0, 3, 2, 2, 2, 3, 2, 2, 3, 1, 1, 2, 0, 1, 0, 2, 2, 1, 4, 1, 2, 1, 1, 0, 3, 0, 2, 2, 2, 2, 1, 2, 1, 4, 1, 2, 2, 1, 2, 0, 0, 4, 0, 4, 1, 2, 1, 0, 3, 0, 3, 0, 2, 2, 4, 1, 1, 4, 4, 2, 2, 2, 4, 4, 2, 1, 4, 4, 1, 3, 1, 1, 1, 2, 2, 1, 4, 3, 1, 4, 4, 4, 2, 1, 1, 1, 1, 4, 0, 4, 1, 3, 1, 1, 0, 3, 2, 2, 2, 1, 3, 0, 2, 0, 1, 3, 0, 1, 3, 2, 2, 0, 1, 2, 0, 1, 3, 3, 4, 0, 3, 3, 1, 0, 0, 2, 1, 2, 4, 2, 2, 1, 1, 4, 1, 4, 3, 4, 3, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 4, 4, 3, 3, 0, 1, 1, 4, 0, 3, 3, 4, 1, 1, 1, 0, 3, 3, 1, 3, 3, 0, 0, 0, 0, 4, 4, 3, 2, 3, 1, 0, 0, 1, 3, 0, 3, 3, 3, 3, 4, 0, 4, 1, 4, 4, 3, 2, 1, 0, 1, 3, 0, 2, 1, 1, 1, 2, 3, 3, 3, 3, 1, 0, 0, 0, 1, 3, 2, 4, 3, 3, 3, 4, 1, 2, 4, 4, 4, 3, 2, 2, 3, 4, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 3, 3, 2, 1, 4, 1, 1, 1, 0, 2, 0, 1, 4, 3, 3, 3, 3, 1, 2, 4, 2, 3, 0, 1, 4, 4, 0, 3, 4, 0, 4, 3, 2, 0, 4, 2, 3, 3, 1, 1, 2, 3, 2, 2, 0, 4, 3, 3, 3, 3, 3, 3, 3, 0, 4, 1, 2, 0, 2, 3, 4, 2, 4, 4, 0, 0, 2, 3, 2, 4, 1, 1, 1, 2, 1]
pubkeycol1274 = [0, 3, 4, 3, 4, 2, 3, 3, 3, 2, 3, 2, 0, 0, 4, 1, 4, 3, 4, 4, 1, 1, 2, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 0, 3, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 4, 0, 4, 0, 1, 2, 3, 3, 1, 4, 2, 2, 0, 0, 4, 3, 0, 2, 0, 3, 3, 2, 0, 2, 2, 2, 0, 3, 2, 0, 3, 2, 0, 4, 2, 1, 0, 2, 0, 2, 0, 0, 3, 2, 2, 4, 3, 1, 2, 2, 3, 0, 4, 4, 4, 0, 3, 4, 3, 1, 2, 4, 4, 0, 2, 4, 3, 1, 2, 1, 4, 2, 3, 1, 4, 0, 1, 3, 2, 4, 4, 2, 3, 3, 0, 0, 0, 1, 0, 4, 4, 0, 3, 3, 1, 3, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 2, 3, 0, 3, 3, 1, 3, 1, 1, 3, 1, 3, 4, 4, 2, 1, 3, 3, 3, 1, 3, 0, 0, 2, 2, 0, 1, 2, 4, 4, 1, 4, 2, 1, 1, 2, 4, 2, 0, 0, 1, 4, 1, 4, 0, 2, 2, 4, 3, 0, 4, 0, 3, 3, 0, 1, 4, 1, 2, 2, 3, 0, 4, 4, 3, 4, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 3, 2, 0, 1, 1, 4, 1, 3, 0, 4, 2, 4, 1, 4, 0, 0, 4, 2, 4, 2, 4, 4, 2, 3, 3, 2, 3, 0, 4, 1, 3, 2, 3, 1, 0, 1, 4, 3, 2, 3, 1, 0, 1, 3, 3, 3, 2, 2, 3, 4, 0, 3, 4, 3, 4, 2, 1, 2, 2, 0, 1, 4, 0, 1, 3, 3, 2, 2, 4, 4, 0, 3, 4, 4, 2, 1, 3, 0, 4, 2, 4, 4, 1, 3, 1, 2, 1, 0, 1, 4, 0, 0, 0, 4, 0, 4, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 4, 3, 1, 1, 2, 2, 0, 0, 0, 4, 3, 2, 4, 0, 3, 3, 4, 0, 4, 4, 4, 1, 2, 1, 2, 1, 4, 3, 0, 4, 1, 4, 3, 3, 2, 4, 2, 3, 4, 4, 2, 4, 3, 0, 0, 2, 3, 0, 3, 3, 3, 0, 0, 2, 3, 2, 1, 1, 1, 1, 2]
pubkeycol1275 = [3, 1, 2, 4, 1, 0, 1, 2, 3, 3, 0, 2, 3, 0, 1, 4, 4, 1, 2, 3, 0, 3, 1, 0, 3, 0, 2, 4, 2, 0, 1, 1, 2, 1, 1, 0, 3, 4, 3, 0, 0, 2, 4, 4, 4, 1, 4, 3, 1, 0, 2, 0, 4, 1, 2, 2, 4, 0, 4, 4, 3, 2, 2, 4, 4, 3, 3, 3, 2, 3, 2, 3, 0, 3, 2, 1, 2, 2, 3, 3, 1, 1, 1, 3, 0, 1, 2, 3, 2, 4, 0, 1, 4, 0, 4, 1, 4, 4, 1, 0, 0, 4, 4, 4, 4, 0, 0, 4, 3, 4, 4, 3, 0, 0, 2, 2, 1, 3, 1, 3, 2, 1, 3, 4, 2, 0, 2, 3, 2, 2, 0, 0, 3, 4, 4, 2, 4, 2, 0, 2, 1, 4, 0, 1, 0, 3, 4, 1, 4, 0, 4, 0, 0, 0, 4, 3, 0, 3, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 1, 2, 0, 1, 2, 1, 3, 1, 2, 0, 4, 1, 2, 3, 2, 2, 3, 1, 4, 0, 2, 0, 0, 0, 0, 4, 1, 0, 1, 2, 1, 2, 4, 4, 1, 1, 3, 0, 4, 3, 0, 2, 1, 2, 3, 4, 3, 0, 0, 0, 3, 3, 3, 4, 3, 4, 3, 2, 3, 3, 0, 3, 1, 0, 4, 0, 4, 1, 3, 3, 4, 0, 3, 4, 3, 1, 4, 0, 1, 0, 4, 3, 0, 0, 4, 0, 3, 3, 4, 2, 1, 3, 0, 3, 0, 0, 1, 3, 1, 3, 2, 3, 1, 0, 4, 1, 0, 2, 2, 4, 0, 3, 0, 4, 1, 2, 1, 2, 4, 0, 3, 1, 4, 2, 0, 1, 4, 4, 0, 3, 3, 3, 2, 3, 2, 3, 4, 4, 0, 4, 1, 2, 1, 3, 4, 1, 1, 1, 4, 0, 2, 1, 1, 4, 1, 2, 3, 1, 0, 0, 1, 2, 1, 2, 3, 0, 2, 2, 4, 0, 3, 2, 1, 1, 3, 4, 1, 0, 1, 2, 2, 4, 4, 1, 4, 1, 0, 3, 1, 4, 3, 2, 1, 4, 1, 4, 3, 4, 2, 4, 3, 4, 0, 3, 4, 1, 2, 2, 3, 3, 4, 4, 3, 2, 0, 3, 1, 3, 2, 2, 2, 3]
pubkeycol1276 = [0, 4, 3, 3, 2, 3, 2, 1, 0, 3, 4, 0, 3, 4, 4, 2, 0, 1, 0, 2, 2, 3, 1, 1, 1, 4, 2, 4, 2, 4, 2, 4, 1, 3, 0, 3, 3, 0, 4, 2, 0, 4, 0, 3, 0, 4, 4, 3, 0, 3, 0, 2, 3, 3, 3, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 4, 1, 3, 2, 2, 3, 0, 4, 0, 2, 4, 1, 3, 4, 2, 2, 3, 1, 3, 2, 3, 0, 2, 0, 4, 3, 0, 3, 2, 4, 1, 0, 4, 0, 4, 4, 1, 1, 4, 0, 3, 0, 0, 3, 0, 0, 1, 0, 2, 1, 0, 1, 2, 4, 0, 1, 4, 0, 4, 3, 1, 0, 4, 2, 4, 4, 1, 3, 0, 2, 0, 2, 1, 0, 4, 3, 4, 1, 3, 4, 3, 2, 4, 2, 0, 3, 3, 3, 2, 4, 1, 3, 1, 2, 0, 1, 4, 0, 2, 4, 4, 1, 1, 1, 2, 4, 0, 3, 3, 1, 0, 2, 0, 4, 4, 0, 4, 4, 0, 1, 3, 4, 1, 3, 0, 2, 1, 4, 1, 2, 3, 3, 4, 2, 4, 2, 3, 1, 0, 4, 2, 0, 0, 3, 4, 0, 2, 3, 1, 1, 1, 3, 2, 2, 0, 2, 2, 2, 0, 1, 3, 3, 4, 4, 4, 4, 0, 1, 0, 1, 2, 1, 1, 0, 4, 1, 3, 1, 2, 4, 0, 1, 1, 0, 4, 4, 1, 1, 3, 2, 1, 2, 3, 0, 3, 0, 0, 4, 0, 3, 4, 4, 2, 4, 1, 1, 4, 1, 4, 0, 1, 2, 0, 2, 0, 2, 4, 2, 2, 4, 0, 1, 4, 3, 4, 3, 3, 4, 1, 4, 1, 4, 3, 0, 1, 4, 0, 4, 3, 3, 2, 1, 0, 4, 3, 4, 2, 2, 4, 4, 2, 2, 0, 2, 0, 2, 2, 1, 1, 3, 0, 0, 3, 1, 1, 2, 1, 3, 3, 1, 0, 3, 1, 4, 0, 3, 0, 1, 0, 4, 3, 4, 0, 3, 3, 2, 1, 2, 3, 1, 3, 1, 0, 1, 3, 0, 2, 1, 3, 2, 1, 0, 2, 2, 3, 0, 2, 3, 2, 4, 1, 2, 4, 1, 2, 4, 3, 3, 4, 4, 0, 0, 0, 0, 3, 1, 4, 4, 1, 0, 1, 1, 2]
pubkeycol1277 = [1, 4, 1, 3, 4, 0, 3, 1, 2, 4, 0, 3, 4, 1, 1, 1, 0, 4, 0, 2, 0, 1, 1, 4, 2, 0, 4, 4, 0, 0, 4, 4, 3, 3, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 2, 2, 4, 3, 4, 2, 3, 1, 0, 3, 2, 3, 1, 2, 0, 0, 1, 4, 1, 0, 3, 0, 4, 1, 4, 2, 4, 3, 2, 1, 0, 2, 3, 1, 3, 2, 4, 0, 1, 4, 0, 1, 0, 0, 3, 1, 4, 2, 2, 3, 2, 1, 3, 1, 3, 3, 4, 3, 0, 1, 4, 3, 4, 4, 0, 4, 1, 4, 3, 0, 2, 0, 0, 2, 3, 1, 3, 2, 1, 0, 0, 3, 3, 4, 4, 3, 0, 4, 3, 2, 1, 0, 4, 0, 4, 4, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 3, 3, 1, 4, 2, 0, 2, 3, 1, 2, 2, 4, 2, 1, 1, 0, 4, 2, 1, 3, 0, 4, 2, 3, 1, 4, 3, 3, 3, 1, 1, 4, 3, 2, 4, 1, 1, 3, 0, 1, 1, 0, 4, 1, 3, 0, 0, 4, 0, 4, 0, 0, 0, 0, 1, 1, 2, 4, 3, 4, 2, 1, 2, 3, 0, 0, 0, 4, 0, 3, 1, 2, 1, 1, 3, 0, 0, 0, 2, 3, 4, 2, 4, 3, 4, 1, 0, 1, 4, 4, 3, 3, 3, 4, 2, 3, 0, 2, 3, 2, 0, 1, 1, 1, 3, 0, 0, 2, 4, 0, 3, 1, 0, 2, 2, 1, 4, 2, 2, 4, 3, 1, 2, 3, 3, 4, 3, 4, 4, 0, 3, 1, 0, 2, 1, 4, 4, 2, 2, 2, 0, 4, 3, 0, 2, 2, 0, 3, 3, 0, 1, 4, 0, 1, 0, 3, 0, 4, 0, 0, 1, 0, 1, 4, 4, 1, 1, 2, 3, 1, 1, 1, 3, 4, 0, 1, 3, 1, 4, 2, 0, 3, 4, 1, 2, 1, 2, 0, 2, 2, 0, 2, 3, 4, 0, 3, 4, 1, 0, 0, 3, 0, 4, 4, 1, 3, 4, 0, 3, 2, 3, 0, 1, 4, 1, 2, 2, 4, 1, 4, 0, 0, 0, 3, 3, 1, 0, 1, 3, 4, 3, 1, 3, 4, 3, 4, 0, 4, 2, 3, 2, 1, 1, 3, 2, 0, 3]
pubkeycol1278 = [1, 0, 4, 4, 0, 4, 1, 3, 1, 0, 1, 3, 3, 3, 1, 4, 4, 0, 2, 4, 4, 2, 0, 4, 0, 4, 4, 0, 1, 3, 1, 3, 4, 3, 1, 1, 1, 4, 0, 4, 4, 0, 1, 1, 2, 3, 2, 4, 1, 3, 3, 2, 4, 2, 3, 3, 3, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 3, 0, 2, 1, 2, 0, 2, 4, 1, 3, 1, 3, 1, 4, 4, 4, 4, 3, 1, 2, 1, 2, 1, 0, 3, 1, 2, 3, 1, 4, 1, 2, 2, 2, 0, 4, 4, 0, 0, 3, 2, 2, 4, 4, 0, 1, 2, 0, 2, 4, 0, 3, 1, 0, 4, 0, 0, 4, 2, 0, 2, 2, 0, 0, 4, 2, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 3, 0, 1, 0, 4, 3, 0, 0, 2, 1, 4, 0, 2, 4, 1, 2, 0, 0, 2, 4, 0, 0, 1, 3, 2, 1, 3, 2, 3, 2, 1, 4, 0, 2, 0, 2, 2, 3, 0, 0, 1, 0, 4, 2, 2, 2, 1, 2, 0, 2, 3, 2, 2, 0, 1, 2, 4, 0, 4, 0, 2, 4, 3, 1, 0, 2, 2, 0, 0, 2, 4, 3, 2, 0, 4, 2, 4, 2, 3, 1, 2, 2, 2, 4, 1, 4, 4, 4, 2, 3, 2, 4, 0, 0, 3, 1, 2, 3, 0, 4, 1, 3, 4, 4, 4, 0, 0, 2, 0, 3, 4, 2, 3, 2, 2, 4, 0, 2, 1, 2, 0, 4, 1, 4, 2, 0, 2, 2, 2, 4, 4, 3, 2, 4, 0, 2, 0, 1, 0, 3, 0, 1, 0, 0, 3, 3, 4, 1, 2, 4, 3, 0, 1, 0, 1, 0, 1, 1, 2, 1, 4, 1, 1, 3, 2, 3, 0, 1, 0, 4, 0, 2, 3, 4, 1, 1, 1, 0, 2, 3, 1, 1, 0, 2, 0, 2, 3, 0, 0, 2, 2, 2, 2, 4, 2, 0, 3, 1, 2, 3, 2, 2, 1, 0, 3, 2, 2, 0, 0, 1, 2, 4, 3, 3, 4, 0, 1, 2, 4, 4, 1, 0, 0, 2, 0, 0, 2, 0, 2, 3, 2, 4, 2, 4, 3, 2, 4, 0, 4, 1, 4, 3, 1, 0, 2, 2, 3, 4, 2, 2, 1, 3, 4, 0, 4, 1, 3]
pubkeycol1279 = [0, 0, 0, 3, 3, 2, 4, 4, 1, 1, 1, 0, 1, 2, 1, 3, 3, 4, 1, 4, 4, 4, 2, 3, 1, 4, 0, 0, 0, 3, 1, 1, 1, 0, 0, 4, 1, 0, 4, 1, 1, 3, 0, 4, 4, 1, 0, 1, 2, 2, 4, 2, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 3, 4, 3, 2, 0, 1, 0, 2, 2, 0, 4, 2, 0, 4, 3, 4, 3, 3, 4, 0, 1, 3, 1, 1, 2, 0, 1, 4, 1, 3, 3, 1, 2, 2, 0, 4, 3, 0, 4, 4, 4, 2, 0, 3, 0, 2, 4, 3, 1, 1, 1, 3, 1, 1, 0, 1, 4, 4, 3, 1, 0, 2, 4, 1, 2, 3, 4, 3, 3, 3, 1, 4, 2, 1, 1, 3, 0, 1, 2, 1, 4, 3, 1, 3, 3, 3, 3, 2, 1, 0, 2, 2, 2, 1, 4, 2, 1, 0, 3, 3, 0, 1, 0, 4, 3, 3, 0, 4, 1, 3, 3, 3, 0, 1, 3, 2, 1, 4, 4, 4, 4, 0, 2, 1, 4, 0, 1, 2, 4, 0, 2, 3, 0, 0, 3, 1, 2, 3, 2, 4, 2, 2, 0, 1, 3, 2, 4, 1, 1, 3, 0, 1, 4, 4, 1, 0, 0, 2, 4, 0, 1, 2, 4, 4, 2, 3, 0, 0, 3, 0, 4, 0, 3, 1, 0, 0, 1, 0, 0, 1, 0, 4, 4, 2, 2, 0, 0, 2, 4, 3, 1, 1, 4, 3, 3, 1, 1, 3, 2, 2, 1, 1, 4, 2, 0, 4, 2, 1, 1, 1, 1, 4, 3, 4, 4, 0, 2, 1, 2, 1, 3, 2, 1, 1, 2, 3, 3, 0, 0, 3, 0, 1, 1, 4, 1, 3, 0, 0, 4, 4, 2, 2, 1, 4, 2, 0, 3, 3, 4, 1, 0, 1, 1, 4, 2, 4, 4, 1, 2, 2, 2, 4, 2, 1, 2, 4, 4, 2, 0, 1, 3, 2, 2, 4, 4, 1, 0, 3, 2, 3, 0, 2, 2, 3, 4, 1, 1, 4, 4, 1, 3, 3, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 4, 3, 3, 1, 4, 1, 0, 4, 2, 1, 0, 1, 2, 0, 2, 3, 0, 2, 0, 3, 1, 4, 1, 0, 0, 4, 2, 2, 0, 3, 3, 2, 0, 2, 3, 2]
pubkeycol1280 = [2, 0, 0, 0, 3, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 1, 4, 2, 0, 0, 4, 3, 2, 0, 4, 4, 0, 2, 0, 0, 4, 3, 1, 1, 3, 0, 3, 0, 0, 2, 0, 0, 2, 2, 1, 3, 1, 3, 3, 2, 3, 2, 0, 2, 0, 2, 0, 3, 3, 4, 1, 1, 1, 0, 2, 0, 3, 0, 3, 0, 1, 4, 4, 2, 1, 3, 0, 3, 4, 2, 0, 4, 0, 4, 1, 3, 2, 2, 3, 3, 4, 3, 2, 1, 1, 3, 0, 1, 1, 0, 3, 0, 3, 0, 4, 3, 3, 1, 1, 1, 2, 1, 4, 0, 3, 4, 0, 3, 4, 3, 2, 2, 3, 2, 0, 4, 3, 4, 2, 1, 0, 1, 0, 0, 2, 1, 0, 4, 1, 0, 4, 0, 1, 2, 2, 4, 0, 4, 1, 4, 1, 3, 0, 3, 3, 2, 4, 0, 2, 4, 4, 0, 3, 4, 1, 1, 3, 1, 1, 2, 0, 4, 4, 3, 2, 2, 4, 1, 2, 0, 4, 0, 4, 1, 3, 2, 3, 3, 4, 2, 4, 1, 2, 0, 0, 1, 2, 4, 2, 1, 4, 4, 2, 4, 1, 4, 1, 4, 4, 4, 2, 4, 3, 4, 4, 3, 2, 1, 1, 4, 2, 0, 1, 2, 2, 4, 3, 0, 3, 0, 2, 4, 4, 1, 2, 3, 1, 2, 0, 4, 4, 2, 3, 1, 3, 2, 0, 2, 2, 0, 2, 1, 2, 0, 4, 0, 3, 4, 3, 1, 0, 2, 4, 2, 1, 4, 0, 0, 0, 2, 3, 2, 1, 3, 2, 2, 3, 3, 3, 1, 0, 4, 0, 0, 1, 1, 0, 1, 3, 4, 0, 3, 1, 0, 4, 3, 2, 0, 4, 2, 0, 1, 1, 1, 2, 2, 2, 2, 3, 1, 0, 3, 3, 4, 3, 2, 2, 0, 2, 2, 4, 3, 2, 4, 2, 1, 0, 3, 3, 1, 0, 2, 0, 0, 2, 3, 2, 3, 1, 1, 2, 1, 1, 3, 1, 2, 0, 3, 1, 2, 0, 1, 4, 0, 3, 4, 3, 1, 3, 0, 0, 2, 0, 0, 3, 4, 1, 2, 0, 1, 2, 4, 2, 3, 4, 3, 3, 2, 2, 3, 1, 4, 2, 1, 1, 2, 1, 4, 3, 3, 3, 0, 1]
pubkeycol1281 = [1, 4, 0, 2, 4, 4, 2, 2, 2, 4, 1, 3, 4, 0, 2, 2, 0, 1, 1, 4, 0, 0, 4, 4, 3, 2, 2, 4, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 4, 0, 1, 4, 1, 2, 2, 3, 3, 2, 2, 1, 4, 2, 2, 3, 0, 2, 0, 4, 3, 1, 4, 0, 0, 4, 1, 3, 3, 4, 4, 0, 0, 2, 1, 3, 2, 3, 1, 3, 0, 2, 4, 0, 1, 4, 4, 3, 1, 2, 0, 3, 4, 3, 4, 4, 3, 4, 1, 1, 4, 3, 3, 0, 0, 2, 4, 2, 2, 1, 0, 0, 2, 3, 0, 2, 4, 0, 4, 1, 2, 3, 3, 0, 3, 0, 2, 4, 0, 4, 3, 3, 4, 4, 3, 0, 4, 2, 4, 1, 2, 3, 0, 3, 3, 2, 2, 0, 4, 1, 2, 0, 1, 0, 4, 0, 4, 4, 2, 4, 2, 1, 0, 3, 0, 4, 3, 4, 3, 1, 4, 4, 2, 4, 0, 4, 2, 1, 0, 3, 0, 0, 3, 4, 3, 0, 0, 0, 0, 0, 3, 1, 3, 4, 3, 1, 2, 4, 3, 0, 0, 0, 1, 1, 1, 4, 2, 4, 4, 3, 2, 4, 1, 1, 4, 4, 2, 4, 2, 1, 3, 0, 1, 2, 1, 1, 3, 1, 0, 4, 4, 0, 0, 3, 2, 2, 4, 3, 1, 4, 4, 0, 1, 3, 2, 2, 2, 2, 4, 1, 2, 1, 2, 0, 3, 2, 2, 1, 0, 2, 3, 4, 0, 0, 0, 2, 4, 0, 1, 3, 3, 4, 2, 2, 4, 1, 2, 0, 2, 2, 0, 1, 2, 2, 3, 4, 1, 4, 1, 2, 3, 1, 1, 3, 1, 0, 4, 3, 1, 2, 4, 0, 1, 4, 1, 0, 2, 2, 1, 2, 0, 2, 3, 3, 1, 1, 1, 4, 0, 0, 3, 0, 0, 1, 1, 0, 3, 0, 2, 4, 3, 4, 3, 3, 0, 1, 4, 3, 1, 3, 4, 0, 2, 3, 2, 0, 1, 3, 0, 3, 1, 2, 0, 4, 3, 1, 1, 0, 4, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 4, 2, 1, 1, 1, 3, 4, 3, 2, 2, 0, 3, 2, 2, 4, 2, 2, 3, 2, 2, 0, 3, 2, 0, 4, 2, 4, 0, 0, 0, 0]
pubkeycol1282 = [4, 0, 3, 3, 3, 0, 3, 1, 1, 0, 1, 2, 2, 4, 3, 3, 2, 4, 4, 2, 4, 4, 1, 3, 0, 0, 0, 4, 0, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 4, 2, 1, 4, 3, 1, 1, 1, 3, 4, 3, 2, 3, 0, 4, 2, 1, 4, 4, 1, 2, 4, 0, 2, 3, 2, 0, 2, 2, 4, 1, 0, 2, 4, 0, 1, 1, 4, 4, 1, 2, 0, 0, 1, 2, 3, 3, 1, 2, 0, 4, 0, 1, 1, 2, 3, 0, 0, 0, 3, 1, 2, 1, 1, 0, 4, 1, 3, 1, 0, 1, 1, 4, 4, 0, 4, 3, 1, 0, 1, 0, 2, 3, 2, 1, 1, 2, 0, 3, 3, 0, 1, 0, 2, 1, 4, 2, 3, 3, 4, 2, 1, 4, 4, 4, 2, 1, 2, 4, 2, 2, 4, 4, 3, 0, 4, 2, 1, 1, 1, 3, 2, 3, 1, 1, 4, 3, 1, 0, 4, 2, 3, 2, 2, 4, 0, 0, 1, 2, 0, 3, 2, 3, 3, 0, 2, 4, 0, 1, 0, 0, 4, 2, 2, 4, 2, 0, 3, 1, 1, 3, 3, 2, 3, 2, 1, 4, 2, 4, 1, 0, 2, 1, 2, 2, 3, 4, 1, 3, 0, 1, 0, 1, 1, 0, 2, 4, 4, 1, 3, 0, 3, 2, 1, 3, 3, 2, 2, 4, 4, 4, 2, 1, 3, 4, 4, 3, 0, 2, 4, 1, 2, 1, 3, 0, 4, 2, 3, 0, 1, 2, 0, 4, 4, 3, 3, 0, 1, 2, 1, 2, 1, 3, 0, 0, 0, 2, 2, 1, 2, 2, 2, 3, 3, 0, 2, 4, 2, 2, 4, 1, 2, 1, 0, 2, 1, 0, 0, 2, 3, 2, 1, 0, 3, 0, 2, 3, 3, 4, 1, 0, 1, 3, 1, 0, 4, 3, 1, 2, 0, 2, 0, 3, 4, 2, 2, 4, 0, 2, 2, 0, 4, 3, 0, 3, 0, 1, 0, 0, 1, 3, 0, 1, 4, 4, 0, 0, 2, 4, 2, 0, 2, 1, 3, 2, 2, 1, 0, 3, 3, 3, 1, 1, 2, 3, 2, 0, 0, 0, 1, 3, 3, 1, 2, 3, 0, 3, 3, 0, 1, 2, 3, 2, 0, 2, 0, 4, 0, 0, 2, 0, 1, 4, 0, 0, 0, 1, 3, 0, 1, 3]
pubkeycol1283 = [4, 3, 3, 4, 0, 2, 2, 1, 1, 1, 4, 4, 4, 3, 0, 3, 1, 1, 1, 3, 2, 3, 2, 2, 4, 4, 0, 1, 4, 3, 0, 4, 1, 4, 3, 4, 4, 3, 2, 0, 4, 0, 0, 0, 3, 0, 2, 2, 3, 0, 1, 4, 2, 1, 1, 0, 3, 4, 3, 0, 3, 0, 3, 1, 4, 3, 3, 2, 0, 3, 4, 3, 0, 3, 3, 3, 1, 4, 4, 1, 2, 0, 1, 4, 0, 3, 0, 3, 3, 3, 0, 0, 1, 1, 3, 4, 1, 3, 3, 1, 4, 3, 3, 3, 2, 3, 2, 2, 3, 4, 2, 3, 1, 0, 3, 2, 3, 2, 0, 2, 1, 4, 2, 0, 0, 4, 4, 0, 4, 0, 3, 1, 0, 4, 2, 4, 4, 3, 1, 3, 2, 3, 1, 3, 4, 3, 4, 4, 2, 2, 3, 1, 1, 1, 0, 3, 3, 4, 1, 1, 2, 4, 4, 3, 4, 1, 2, 3, 1, 1, 1, 3, 4, 1, 3, 4, 2, 3, 1, 0, 1, 4, 1, 3, 4, 1, 3, 0, 3, 3, 4, 4, 0, 0, 3, 3, 0, 4, 4, 3, 2, 2, 0, 2, 2, 3, 0, 4, 4, 4, 3, 4, 4, 4, 0, 4, 0, 3, 4, 2, 3, 3, 0, 3, 0, 1, 4, 3, 3, 1, 3, 2, 4, 1, 4, 4, 0, 0, 1, 2, 1, 2, 3, 3, 1, 4, 1, 0, 4, 4, 2, 4, 4, 3, 1, 3, 2, 1, 0, 2, 4, 4, 4, 0, 4, 0, 2, 0, 4, 2, 3, 2, 4, 2, 0, 3, 0, 2, 2, 4, 2, 3, 2, 1, 1, 0, 3, 2, 4, 0, 3, 4, 0, 4, 3, 0, 0, 3, 2, 1, 0, 1, 2, 0, 0, 3, 1, 3, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 3, 0, 3, 3, 0, 3, 4, 2, 3, 3, 3, 0, 2, 1, 4, 1, 2, 0, 2, 3, 0, 0, 1, 1, 2, 3, 3, 1, 4, 0, 4, 0, 0, 3, 0, 1, 2, 0, 4, 2, 4, 3, 4, 2, 1, 3, 3, 4, 2, 0, 4, 0, 4, 1, 4, 0, 2, 1, 3, 0, 2, 3, 4, 3, 2, 2, 3, 3, 1, 4, 3, 3, 0, 0, 3, 1, 3, 2, 0, 4]
pubkeycol1284 = [3, 4, 0, 0, 0, 0, 4, 4, 1, 0, 0, 0, 3, 3, 3, 0, 0, 1, 0, 4, 4, 1, 1, 2, 3, 4, 4, 1, 4, 2, 2, 2, 4, 0, 4, 2, 4, 3, 2, 4, 0, 1, 3, 1, 3, 3, 2, 2, 4, 4, 0, 3, 1, 4, 1, 0, 4, 1, 3, 3, 4, 1, 3, 2, 0, 0, 4, 0, 4, 1, 4, 0, 3, 3, 1, 2, 0, 1, 4, 3, 2, 2, 4, 2, 3, 1, 1, 2, 4, 3, 1, 1, 1, 2, 2, 4, 0, 1, 1, 1, 3, 1, 3, 0, 1, 0, 1, 3, 3, 4, 4, 1, 1, 4, 4, 3, 1, 0, 1, 0, 4, 2, 4, 2, 1, 4, 3, 3, 3, 2, 4, 0, 1, 0, 3, 0, 0, 1, 0, 0, 0, 3, 0, 4, 0, 1, 0, 1, 0, 3, 3, 2, 4, 1, 3, 2, 1, 1, 4, 3, 0, 3, 0, 3, 2, 1, 1, 0, 0, 0, 2, 0, 2, 4, 0, 4, 0, 3, 4, 3, 4, 3, 3, 1, 0, 3, 0, 3, 0, 4, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 4, 0, 0, 3, 2, 1, 2, 2, 0, 4, 1, 3, 1, 3, 4, 2, 3, 3, 3, 4, 1, 3, 1, 2, 1, 4, 4, 0, 4, 1, 1, 1, 4, 0, 4, 3, 0, 2, 4, 4, 0, 0, 2, 1, 2, 1, 4, 3, 4, 4, 1, 0, 4, 3, 1, 3, 1, 4, 2, 4, 1, 2, 0, 2, 4, 4, 2, 2, 0, 3, 0, 0, 4, 1, 3, 2, 2, 0, 1, 1, 2, 4, 3, 4, 3, 3, 4, 0, 2, 2, 3, 3, 3, 1, 3, 0, 2, 1, 3, 0, 3, 4, 4, 0, 3, 4, 3, 0, 4, 4, 2, 2, 1, 1, 4, 1, 3, 0, 0, 0, 1, 2, 1, 0, 2, 4, 3, 4, 4, 4, 3, 1, 1, 3, 0, 4, 2, 1, 2, 1, 4, 2, 4, 4, 0, 0, 4, 3, 2, 3, 3, 3, 3, 3, 0, 1, 2, 2, 2, 2, 3, 0, 4, 2, 1, 3, 3, 3, 4, 2, 2, 1, 1, 4, 4, 0, 3, 4, 3, 3, 3, 2, 2, 2, 3, 1, 0, 2, 1, 3, 2, 2, 4]
pubkeycol1285 = [4, 1, 2, 0, 3, 1, 4, 3, 1, 0, 0, 0, 1, 1, 4, 1, 2, 0, 2, 4, 3, 0, 1, 2, 0, 1, 1, 3, 2, 3, 3, 3, 2, 0, 0, 0, 1, 2, 2, 4, 4, 3, 3, 1, 2, 1, 0, 0, 2, 1, 0, 4, 3, 4, 1, 0, 1, 1, 2, 3, 1, 0, 1, 2, 3, 1, 1, 2, 1, 4, 2, 0, 2, 0, 3, 4, 3, 0, 0, 0, 3, 2, 0, 2, 4, 2, 1, 2, 1, 3, 0, 0, 0, 3, 2, 2, 4, 0, 0, 2, 4, 3, 2, 1, 3, 4, 1, 2, 0, 2, 2, 2, 3, 1, 1, 4, 4, 1, 3, 1, 1, 0, 0, 0, 2, 4, 0, 3, 0, 3, 2, 1, 3, 3, 0, 4, 4, 1, 3, 2, 1, 0, 4, 0, 2, 1, 0, 1, 0, 2, 4, 4, 4, 2, 3, 3, 2, 2, 1, 1, 1, 3, 2, 1, 4, 1, 3, 4, 2, 4, 3, 4, 1, 1, 1, 1, 4, 3, 0, 1, 1, 1, 0, 3, 2, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 4, 0, 0, 0, 1, 2, 0, 3, 3, 0, 4, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 4, 1, 4, 3, 3, 1, 1, 1, 0, 0, 3, 1, 0, 3, 4, 2, 1, 4, 1, 2, 4, 4, 0, 2, 1, 4, 3, 0, 3, 1, 4, 2, 4, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 3, 2, 0, 2, 0, 3, 1, 1, 1, 3, 2, 3, 1, 4, 4, 1, 1, 2, 2, 1, 3, 0, 3, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 3, 1, 4, 1, 3, 3, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 3, 1, 4, 1, 0, 0, 4, 3, 1, 1, 4, 2, 4, 3, 2, 4, 2, 4, 2, 4, 4, 3, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 0, 2, 0, 4, 4, 1, 0, 3, 1, 0, 0, 0, 2, 2, 1, 2, 0, 3, 2, 3, 3, 1, 4, 0, 4, 4, 4, 4, 0, 0, 1, 1, 4, 2, 3, 2, 0, 2, 4, 3, 1, 3, 1, 4, 3, 2, 2, 2, 0, 2, 1, 4, 0]
pubkeycol1286 = [0, 0, 3, 3, 3, 1, 0, 2, 4, 1, 0, 2, 0, 4, 1, 3, 1, 2, 4, 2, 1, 2, 0, 3, 4, 3, 4, 0, 4, 4, 4, 1, 4, 3, 4, 0, 4, 0, 3, 1, 3, 4, 3, 1, 1, 3, 1, 4, 2, 2, 0, 4, 3, 2, 1, 0, 4, 1, 0, 3, 4, 4, 1, 4, 0, 0, 1, 0, 3, 0, 0, 3, 0, 1, 4, 2, 3, 0, 2, 4, 2, 1, 0, 0, 2, 2, 3, 2, 0, 0, 3, 1, 2, 0, 2, 1, 2, 3, 2, 3, 3, 4, 0, 1, 3, 0, 2, 2, 2, 3, 3, 2, 3, 1, 4, 1, 2, 2, 0, 4, 0, 2, 4, 4, 4, 2, 1, 3, 4, 2, 3, 4, 0, 1, 2, 4, 3, 1, 4, 3, 2, 1, 2, 1, 1, 3, 3, 1, 1, 3, 2, 0, 2, 1, 4, 1, 1, 4, 0, 1, 3, 0, 2, 3, 3, 4, 0, 2, 2, 3, 2, 0, 2, 4, 2, 0, 1, 2, 2, 4, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 3, 4, 4, 1, 4, 1, 3, 2, 1, 2, 0, 3, 4, 0, 4, 0, 3, 1, 4, 4, 2, 2, 1, 1, 3, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 3, 2, 3, 3, 0, 4, 2, 0, 2, 1, 1, 1, 0, 2, 4, 2, 0, 3, 0, 1, 0, 3, 4, 0, 3, 4, 1, 4, 4, 1, 1, 0, 0, 3, 1, 4, 1, 3, 4, 1, 4, 4, 1, 3, 1, 4, 3, 0, 4, 3, 2, 2, 3, 2, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 1, 2, 0, 3, 3, 1, 2, 2, 2, 0, 1, 2, 2, 3, 2, 3, 4, 0, 4, 3, 2, 2, 4, 1, 2, 3, 1, 1, 0, 4, 0, 0, 4, 0, 4, 3, 0, 0, 0, 1, 4, 1, 0, 3, 2, 2, 4, 2, 2, 3, 2, 0, 2, 4, 2, 4, 1, 1, 4, 0, 3, 2, 2, 3, 0, 4, 0, 4, 1, 2, 2, 4, 0, 2, 4, 3, 0, 2, 1, 3, 0, 1, 4, 0, 3, 3, 4, 2, 2, 0, 1, 2, 2, 4, 0, 3, 0, 4, 3]
pubkeycol1287 = [4, 1, 1, 1, 3, 1, 2, 3, 2, 0, 0, 1, 2, 1, 0, 1, 3, 2, 1, 2, 2, 4, 4, 1, 1, 4, 4, 1, 3, 0, 4, 4, 0, 0, 2, 4, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 4, 4, 3, 0, 1, 2, 3, 4, 3, 2, 2, 1, 1, 2, 2, 4, 4, 4, 2, 1, 1, 2, 4, 4, 4, 4, 4, 2, 1, 4, 0, 3, 3, 2, 1, 1, 4, 3, 4, 1, 3, 2, 1, 1, 3, 2, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 4, 4, 2, 2, 3, 4, 2, 4, 0, 1, 3, 0, 4, 3, 0, 3, 2, 4, 1, 4, 2, 4, 1, 3, 3, 0, 4, 1, 1, 2, 0, 0, 3, 3, 2, 2, 2, 1, 1, 1, 0, 4, 4, 4, 1, 0, 2, 1, 3, 2, 3, 3, 1, 2, 1, 3, 3, 2, 2, 4, 1, 2, 2, 0, 1, 3, 2, 4, 4, 0, 4, 4, 2, 3, 2, 4, 1, 4, 2, 1, 3, 3, 4, 3, 2, 3, 1, 0, 3, 3, 0, 0, 2, 0, 1, 2, 3, 2, 3, 2, 4, 0, 0, 2, 0, 3, 2, 3, 4, 4, 1, 3, 3, 1, 1, 1, 4, 0, 1, 1, 1, 4, 0, 1, 0, 0, 1, 3, 0, 4, 0, 3, 2, 4, 0, 1, 3, 1, 0, 3, 1, 2, 3, 4, 4, 4, 4, 3, 3, 3, 2, 4, 4, 4, 1, 2, 3, 0, 3, 0, 3, 1, 3, 4, 4, 0, 4, 2, 3, 0, 4, 0, 3, 3, 3, 4, 3, 4, 3, 4, 0, 1, 3, 2, 1, 1, 0, 0, 1, 0, 1, 3, 3, 4, 3, 3, 1, 3, 0, 1, 1, 2, 0, 0, 3, 1, 3, 2, 1, 2, 2, 0, 3, 3, 3, 3, 4, 1, 4, 3, 0, 1, 3, 3, 0, 0, 1, 3, 1, 0, 2, 2, 0, 2, 2, 0, 4, 3, 4, 2, 2, 4, 0, 0, 4, 1, 3, 2, 3, 0, 4, 3, 2, 4, 2, 4, 1, 3, 1, 3, 0, 0, 1, 0, 2, 3, 2, 3, 0, 3, 2, 1, 1, 4, 1, 4, 3, 4, 4, 2, 2, 0, 4, 3, 0, 0, 1, 2]
pubkeycol1288 = [3, 4, 1, 1, 2, 4, 3, 1, 0, 1, 0, 1, 3, 4, 3, 4, 0, 2, 2, 1, 1, 3, 4, 2, 4, 3, 2, 0, 3, 3, 4, 3, 0, 2, 4, 0, 2, 3, 4, 3, 1, 2, 2, 3, 0, 1, 4, 1, 4, 2, 3, 4, 3, 1, 0, 1, 4, 2, 2, 0, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 1, 0, 4, 2, 0, 3, 1, 1, 1, 2, 0, 3, 4, 2, 4, 4, 4, 1, 1, 3, 2, 1, 3, 1, 1, 3, 0, 4, 0, 0, 2, 1, 1, 4, 4, 0, 3, 3, 2, 2, 1, 0, 0, 1, 0, 0, 3, 0, 2, 1, 4, 4, 1, 2, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 1, 3, 0, 4, 1, 4, 1, 0, 2, 0, 2, 3, 1, 0, 0, 1, 2, 1, 3, 3, 0, 2, 4, 1, 0, 3, 2, 2, 4, 4, 4, 3, 0, 0, 2, 2, 4, 1, 4, 4, 4, 0, 3, 4, 0, 1, 3, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 4, 3, 3, 0, 1, 1, 0, 4, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 1, 0, 4, 4, 0, 0, 1, 2, 2, 3, 3, 0, 1, 0, 1, 0, 4, 2, 1, 1, 2, 2, 0, 2, 4, 4, 3, 3, 1, 3, 4, 1, 3, 2, 3, 2, 2, 2, 3, 4, 4, 4, 4, 0, 1, 0, 1, 1, 3, 0, 3, 4, 0, 3, 4, 1, 2, 0, 1, 4, 2, 3, 3, 4, 3, 4, 2, 2, 2, 4, 1, 0, 3, 1, 0, 1, 1, 3, 3, 2, 0, 4, 4, 2, 3, 3, 2, 4, 1, 0, 3, 3, 1, 1, 0, 0, 2, 2, 3, 2, 4, 4, 4, 4, 1, 0, 3, 1, 2, 3, 2, 4, 4, 0, 3, 4, 2, 1, 3, 1, 0, 4, 0, 2, 3, 2, 1, 3, 4, 4, 0, 0, 3, 4, 4, 3, 0, 1, 2, 0, 3, 0, 2, 0, 0, 1, 3, 2, 2, 2, 0, 4, 2, 1, 3, 0, 3, 3, 2, 4, 2, 0, 4, 4, 0, 3, 3, 3, 0, 3, 0, 1, 1, 4, 4, 1, 0, 3, 4, 3, 4, 1, 1]
pubkeycol1289 = [3, 3, 2, 0, 1, 3, 0, 3, 0, 1, 0, 0, 3, 3, 1, 3, 3, 2, 2, 4, 0, 1, 2, 1, 4, 1, 4, 0, 0, 0, 4, 3, 2, 3, 2, 1, 1, 1, 0, 4, 4, 3, 4, 0, 0, 2, 2, 0, 4, 2, 4, 1, 0, 1, 0, 2, 1, 0, 0, 1, 3, 0, 4, 1, 2, 3, 4, 0, 0, 2, 1, 2, 3, 0, 0, 0, 1, 2, 2, 4, 1, 1, 3, 2, 2, 1, 0, 0, 1, 2, 3, 1, 4, 4, 2, 2, 1, 1, 4, 2, 0, 3, 2, 2, 1, 4, 1, 2, 3, 3, 0, 2, 1, 1, 3, 0, 3, 2, 0, 4, 1, 3, 4, 2, 3, 3, 1, 3, 0, 2, 4, 4, 2, 1, 0, 4, 2, 3, 2, 2, 0, 2, 4, 2, 0, 2, 3, 1, 1, 1, 0, 3, 2, 1, 1, 4, 1, 3, 1, 2, 3, 1, 4, 0, 3, 1, 1, 2, 2, 2, 2, 3, 4, 3, 0, 0, 3, 0, 0, 3, 3, 2, 3, 0, 2, 1, 4, 4, 1, 0, 2, 3, 0, 2, 1, 4, 3, 3, 2, 0, 0, 4, 1, 1, 3, 4, 0, 1, 4, 4, 3, 2, 4, 1, 4, 0, 1, 1, 3, 2, 4, 2, 2, 0, 4, 3, 1, 3, 1, 4, 2, 4, 3, 2, 3, 4, 0, 4, 1, 0, 2, 2, 0, 4, 0, 2, 4, 4, 1, 3, 3, 4, 3, 0, 3, 2, 4, 2, 4, 1, 4, 1, 4, 0, 2, 0, 4, 3, 1, 3, 3, 4, 3, 4, 3, 3, 3, 3, 0, 4, 0, 0, 2, 1, 3, 1, 2, 3, 2, 4, 0, 0, 1, 2, 4, 1, 2, 1, 1, 4, 1, 4, 3, 0, 4, 4, 0, 3, 1, 0, 1, 3, 0, 0, 3, 3, 4, 1, 4, 0, 4, 4, 1, 0, 0, 1, 1, 3, 4, 3, 3, 1, 0, 0, 0, 3, 3, 4, 3, 3, 0, 4, 3, 0, 1, 2, 2, 0, 1, 1, 4, 0, 1, 3, 1, 0, 4, 1, 1, 1, 2, 3, 0, 0, 1, 3, 4, 1, 2, 2, 2, 1, 3, 4, 0, 3, 0, 2, 0, 2, 1, 0, 0, 3, 3, 0, 4, 3, 2, 4, 4, 0, 3, 0, 0, 2, 0, 4, 2, 4]
pubkeycol1290 = [1, 2, 3, 1, 0, 0, 4, 0, 4, 4, 4, 2, 4, 2, 0, 2, 0, 2, 0, 2, 4, 0, 1, 0, 4, 2, 0, 4, 1, 0, 1, 4, 0, 3, 1, 3, 1, 2, 4, 3, 4, 0, 1, 3, 2, 3, 3, 0, 4, 4, 0, 3, 2, 3, 4, 3, 3, 4, 1, 3, 3, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 4, 2, 4, 2, 2, 4, 0, 0, 1, 0, 4, 1, 2, 2, 2, 4, 3, 4, 0, 4, 1, 4, 3, 1, 1, 2, 3, 1, 4, 0, 1, 2, 4, 4, 3, 2, 0, 4, 4, 3, 0, 4, 0, 1, 3, 0, 4, 1, 0, 1, 4, 1, 4, 1, 3, 3, 1, 0, 2, 4, 3, 3, 0, 3, 0, 0, 3, 1, 2, 4, 1, 0, 4, 2, 2, 1, 2, 4, 0, 4, 4, 3, 0, 3, 4, 4, 2, 1, 2, 1, 3, 1, 4, 1, 2, 3, 2, 4, 2, 3, 2, 3, 1, 0, 4, 0, 0, 2, 4, 4, 0, 0, 2, 0, 2, 4, 2, 0, 0, 0, 4, 1, 3, 1, 3, 0, 0, 3, 3, 0, 2, 0, 0, 2, 2, 3, 0, 3, 0, 3, 0, 4, 0, 1, 3, 2, 2, 2, 0, 1, 4, 3, 2, 4, 1, 0, 4, 3, 2, 0, 2, 1, 2, 1, 0, 3, 3, 3, 2, 0, 0, 2, 2, 2, 1, 4, 3, 0, 1, 3, 4, 3, 1, 3, 1, 4, 3, 0, 4, 1, 3, 0, 3, 2, 2, 3, 4, 3, 3, 4, 2, 2, 4, 1, 1, 2, 1, 3, 4, 4, 3, 4, 2, 3, 4, 3, 1, 1, 2, 2, 4, 3, 3, 0, 0, 2, 1, 3, 4, 4, 2, 0, 3, 0, 3, 4, 4, 3, 1, 3, 2, 1, 4, 1, 0, 0, 0, 0, 3, 4, 2, 4, 4, 1, 1, 3, 2, 2, 4, 0, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 3, 3, 1, 0, 0, 1, 2, 2, 3, 2, 2, 0, 2, 0, 3, 2, 4, 1, 4, 3, 0, 3, 0, 3, 3, 0, 3, 4, 2, 0, 4, 2, 2, 3, 1, 4, 2, 0, 0, 2, 3, 0, 4, 2, 2, 2, 4, 0, 2, 3, 0, 3, 1, 1, 2, 2, 3]
pubkeycol1291 = [0, 0, 0, 1, 4, 3, 0, 0, 3, 2, 0, 4, 1, 3, 2, 4, 0, 3, 2, 2, 3, 4, 4, 4, 1, 2, 2, 4, 1, 3, 2, 2, 4, 2, 4, 0, 3, 2, 2, 4, 0, 2, 3, 4, 0, 3, 1, 4, 2, 2, 3, 0, 2, 4, 0, 2, 1, 4, 2, 2, 4, 0, 1, 1, 4, 1, 0, 2, 3, 1, 4, 0, 3, 2, 1, 1, 0, 4, 2, 3, 3, 3, 0, 2, 1, 4, 2, 3, 3, 2, 2, 0, 2, 3, 4, 2, 2, 0, 0, 1, 2, 2, 4, 1, 3, 2, 2, 0, 3, 0, 4, 1, 0, 4, 1, 4, 0, 4, 3, 3, 0, 4, 1, 1, 3, 2, 1, 2, 1, 4, 4, 1, 1, 0, 2, 0, 0, 3, 4, 4, 3, 1, 3, 0, 3, 3, 1, 4, 1, 3, 0, 4, 2, 4, 0, 1, 1, 1, 1, 3, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 3, 2, 1, 0, 3, 3, 3, 1, 2, 0, 3, 1, 2, 0, 2, 4, 3, 1, 4, 4, 4, 2, 3, 2, 0, 3, 2, 1, 1, 4, 1, 2, 2, 0, 4, 2, 1, 1, 1, 3, 2, 4, 4, 0, 1, 2, 4, 3, 0, 1, 0, 0, 1, 0, 1, 4, 1, 2, 4, 0, 3, 1, 1, 4, 0, 0, 1, 4, 0, 3, 0, 4, 0, 1, 1, 4, 4, 3, 1, 0, 1, 4, 1, 3, 0, 2, 3, 2, 3, 1, 3, 0, 3, 4, 0, 4, 3, 4, 1, 0, 4, 3, 0, 2, 0, 1, 0, 0, 3, 3, 0, 4, 4, 1, 3, 4, 2, 4, 1, 4, 2, 3, 2, 2, 1, 3, 3, 1, 3, 0, 3, 2, 4, 4, 2, 2, 4, 2, 2, 2, 0, 3, 2, 2, 3, 0, 0, 2, 3, 1, 2, 2, 2, 2, 1, 0, 3, 0, 4, 0, 4, 3, 4, 2, 0, 2, 3, 2, 1, 0, 0, 2, 4, 2, 2, 0, 3, 1, 0, 1, 2, 1, 3, 4, 0, 0, 1, 4, 0, 4, 2, 3, 3, 4, 3, 3, 3, 0, 0, 4, 0, 3, 4, 0, 3, 2, 2, 4, 3, 2, 3, 0, 4, 2, 2, 4, 4, 2, 1, 0, 3, 1, 0, 0, 1, 2, 4]
pubkeycol1292 = [3, 2, 2, 1, 1, 2, 3, 0, 3, 3, 3, 4, 4, 3, 2, 4, 1, 1, 0, 3, 0, 1, 1, 2, 4, 4, 4, 1, 0, 3, 2, 4, 0, 3, 0, 0, 3, 2, 1, 4, 3, 0, 4, 2, 4, 2, 3, 0, 4, 3, 1, 2, 4, 3, 0, 1, 1, 2, 3, 0, 4, 3, 0, 2, 4, 4, 1, 4, 2, 4, 4, 1, 2, 4, 4, 1, 4, 3, 3, 3, 1, 4, 4, 4, 2, 0, 4, 4, 4, 2, 4, 1, 3, 0, 1, 4, 3, 1, 3, 2, 4, 0, 4, 1, 1, 3, 2, 2, 0, 2, 3, 3, 4, 3, 3, 0, 4, 2, 2, 2, 4, 2, 3, 1, 4, 3, 4, 4, 2, 3, 3, 0, 4, 4, 3, 1, 1, 0, 2, 0, 0, 0, 4, 3, 2, 4, 2, 1, 1, 3, 3, 0, 3, 0, 4, 4, 1, 0, 3, 4, 4, 2, 1, 2, 1, 2, 3, 4, 0, 4, 0, 2, 2, 3, 3, 2, 1, 0, 3, 0, 2, 2, 4, 1, 1, 0, 3, 1, 4, 1, 0, 1, 3, 1, 0, 1, 0, 4, 4, 1, 3, 4, 1, 0, 4, 0, 0, 1, 3, 4, 3, 2, 4, 4, 0, 3, 1, 2, 1, 4, 2, 4, 0, 1, 1, 0, 4, 0, 4, 2, 4, 0, 0, 0, 4, 4, 3, 3, 1, 3, 4, 0, 4, 1, 0, 4, 2, 0, 4, 1, 0, 3, 3, 2, 2, 0, 3, 2, 4, 2, 1, 3, 4, 1, 3, 0, 2, 3, 0, 2, 1, 2, 2, 2, 4, 1, 3, 0, 1, 2, 3, 2, 2, 2, 1, 3, 4, 1, 3, 3, 3, 0, 4, 1, 1, 0, 3, 2, 1, 4, 2, 1, 3, 4, 3, 1, 0, 3, 3, 2, 3, 1, 1, 4, 0, 4, 1, 2, 0, 1, 2, 1, 3, 3, 1, 0, 4, 0, 3, 4, 2, 4, 3, 1, 2, 1, 0, 0, 1, 0, 0, 0, 4, 1, 0, 2, 1, 1, 4, 2, 4, 1, 2, 0, 4, 3, 3, 3, 0, 0, 3, 0, 2, 3, 4, 3, 0, 1, 3, 0, 1, 4, 4, 0, 0, 1, 3, 4, 3, 1, 4, 1, 3, 2, 2, 3, 4, 1, 3, 3, 0, 2, 2, 4, 0, 2, 1, 0, 4, 4]
pubkeycol1293 = [2, 3, 2, 2, 4, 0, 2, 3, 0, 1, 0, 2, 4, 1, 3, 1, 1, 2, 4, 1, 3, 3, 3, 0, 4, 2, 4, 3, 2, 0, 1, 2, 3, 4, 2, 1, 3, 1, 3, 0, 0, 1, 4, 3, 2, 1, 0, 3, 4, 3, 2, 3, 1, 1, 1, 3, 2, 4, 4, 2, 3, 2, 3, 4, 3, 4, 4, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 3, 3, 2, 4, 1, 3, 3, 3, 0, 1, 4, 3, 0, 2, 2, 4, 4, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1, 4, 0, 0, 3, 1, 2, 4, 3, 4, 0, 2, 1, 1, 0, 1, 4, 4, 2, 3, 3, 0, 4, 1, 0, 1, 1, 4, 3, 0, 3, 2, 1, 2, 0, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 0, 0, 3, 3, 4, 2, 1, 3, 0, 2, 4, 0, 3, 4, 3, 4, 1, 2, 0, 4, 3, 1, 0, 2, 4, 3, 1, 1, 0, 0, 1, 4, 3, 4, 4, 4, 4, 0, 0, 1, 2, 4, 3, 4, 0, 3, 1, 4, 0, 3, 0, 1, 4, 3, 2, 0, 1, 0, 1, 1, 4, 1, 1, 1, 3, 3, 0, 2, 3, 4, 3, 4, 4, 2, 2, 2, 1, 4, 1, 0, 4, 4, 3, 3, 3, 1, 4, 1, 0, 1, 1, 2, 4, 1, 3, 2, 0, 2, 1, 2, 3, 4, 1, 1, 4, 4, 1, 2, 4, 0, 0, 1, 4, 0, 4, 2, 1, 2, 0, 0, 4, 0, 3, 1, 0, 1, 1, 0, 3, 0, 4, 0, 4, 2, 0, 2, 0, 0, 3, 0, 3, 2, 1, 2, 0, 4, 3, 3, 2, 1, 3, 1, 3, 4, 1, 1, 2, 3, 4, 1, 3, 3, 1, 3, 2, 4, 0, 0, 4, 3, 0, 3, 0, 2, 4, 4, 1, 4, 4, 2, 0, 3, 3, 1, 3, 1, 2, 1, 1, 0, 3, 1, 0, 4, 0, 3, 4, 4, 2, 1, 0, 2, 2, 1, 4, 1, 2, 1, 1, 2, 0, 2, 2, 3, 0, 4, 0, 4, 2, 0, 4, 1, 0, 3, 3, 0, 3, 3, 4, 4, 3, 0, 2, 3, 0, 3, 1, 0, 2, 4, 3, 1, 3, 4, 2, 1, 1, 3, 4, 4, 1]
pubkeycol1294 = [3, 0, 0, 0, 2, 2, 3, 3, 1, 4, 3, 1, 1, 2, 2, 4, 4, 0, 1, 4, 0, 2, 2, 1, 0, 3, 0, 1, 0, 3, 4, 3, 4, 4, 4, 3, 1, 2, 1, 2, 1, 3, 3, 2, 0, 1, 4, 0, 1, 3, 0, 1, 0, 0, 1, 2, 1, 3, 3, 4, 3, 2, 0, 0, 1, 0, 1, 3, 0, 3, 1, 3, 1, 0, 4, 0, 0, 4, 3, 1, 2, 2, 1, 2, 2, 3, 0, 1, 4, 4, 2, 1, 4, 3, 1, 2, 3, 1, 1, 0, 2, 1, 4, 3, 0, 2, 0, 0, 4, 0, 2, 0, 0, 3, 2, 2, 1, 2, 4, 3, 3, 2, 3, 1, 2, 2, 1, 0, 2, 3, 0, 2, 0, 4, 0, 4, 0, 3, 4, 3, 1, 2, 3, 1, 1, 2, 0, 4, 4, 1, 1, 4, 4, 2, 2, 1, 0, 0, 4, 4, 3, 2, 3, 0, 4, 0, 4, 3, 1, 1, 2, 4, 3, 2, 4, 2, 4, 2, 3, 3, 2, 2, 4, 4, 1, 2, 3, 4, 3, 4, 0, 0, 4, 2, 0, 1, 2, 4, 0, 0, 2, 4, 1, 0, 3, 0, 3, 0, 1, 0, 0, 3, 1, 2, 3, 3, 2, 1, 3, 2, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 4, 0, 1, 3, 0, 0, 3, 0, 0, 3, 2, 4, 2, 3, 4, 1, 2, 1, 0, 1, 2, 1, 2, 2, 3, 0, 4, 3, 2, 0, 4, 1, 0, 0, 1, 1, 0, 1, 4, 0, 4, 1, 3, 0, 2, 4, 4, 1, 2, 3, 0, 2, 1, 1, 2, 3, 4, 3, 3, 3, 2, 1, 2, 4, 0, 3, 3, 2, 2, 0, 4, 4, 0, 4, 1, 0, 3, 3, 4, 0, 2, 1, 3, 4, 2, 0, 2, 0, 3, 4, 0, 4, 2, 0, 3, 3, 0, 3, 3, 1, 2, 1, 1, 2, 1, 4, 1, 4, 1, 0, 4, 4, 4, 2, 2, 1, 0, 0, 1, 3, 3, 0, 4, 2, 4, 1, 3, 4, 2, 4, 0, 3, 1, 0, 2, 1, 4, 2, 1, 4, 1, 1, 3, 4, 3, 0, 1, 2, 3, 3, 1, 2, 1, 0, 0, 0, 0, 4, 1, 0, 4, 1, 4, 4, 3, 3, 3, 3, 0]
pubkeycol1295 = [4, 0, 2, 1, 1, 0, 3, 4, 4, 4, 2, 1, 1, 1, 4, 2, 1, 1, 3, 0, 3, 3, 0, 2, 0, 1, 2, 1, 2, 3, 1, 2, 4, 3, 3, 3, 4, 0, 2, 4, 4, 2, 0, 1, 0, 1, 1, 3, 4, 1, 3, 4, 3, 0, 0, 1, 3, 0, 1, 3, 2, 4, 4, 4, 0, 0, 1, 1, 3, 0, 1, 2, 2, 4, 0, 1, 2, 2, 1, 3, 2, 1, 4, 4, 1, 4, 2, 3, 2, 1, 0, 2, 3, 0, 0, 3, 2, 1, 3, 2, 0, 1, 1, 2, 3, 4, 2, 0, 0, 2, 1, 1, 2, 3, 2, 3, 0, 3, 4, 2, 0, 0, 3, 3, 2, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 3, 4, 4, 4, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 4, 2, 0, 3, 3, 0, 4, 1, 0, 4, 2, 4, 1, 3, 0, 3, 4, 1, 4, 4, 4, 4, 2, 0, 0, 0, 2, 0, 3, 0, 3, 0, 3, 2, 0, 4, 4, 4, 0, 2, 0, 2, 0, 4, 2, 3, 1, 3, 1, 2, 3, 4, 2, 0, 1, 2, 1, 4, 2, 4, 1, 0, 4, 0, 2, 0, 4, 3, 0, 3, 3, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 3, 4, 3, 3, 3, 1, 0, 0, 4, 0, 2, 4, 2, 3, 2, 2, 2, 3, 3, 1, 4, 4, 3, 2, 3, 0, 2, 1, 2, 4, 3, 2, 2, 0, 0, 1, 0, 4, 3, 4, 1, 0, 1, 1, 3, 2, 3, 0, 2, 3, 0, 1, 1, 0, 0, 3, 1, 0, 4, 4, 1, 0, 4, 3, 4, 0, 0, 1, 3, 4, 1, 4, 4, 0, 4, 3, 1, 2, 4, 3, 0, 0, 2, 3, 3, 0, 4, 2, 0, 3, 1, 0, 2, 2, 3, 2, 0, 1, 3, 1, 0, 2, 2, 1, 0, 4, 3, 0, 0, 2, 0, 0, 1, 1, 0, 3, 0, 2, 1, 3, 4, 3, 1, 2, 4, 0, 3, 2, 0, 0, 3, 4, 3, 2, 4, 2, 0, 4, 4, 3, 0, 0, 4, 3, 2, 4, 2, 4, 0, 2, 4, 0, 2, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 0, 0]
pubkeycol1296 = [2, 4, 1, 0, 0, 3, 3, 0, 2, 3, 1, 1, 2, 4, 3, 4, 1, 0, 3, 4, 1, 0, 1, 2, 1, 3, 4, 3, 2, 1, 0, 3, 4, 2, 0, 2, 4, 2, 3, 4, 3, 2, 2, 0, 2, 3, 2, 0, 1, 0, 1, 4, 2, 0, 0, 3, 0, 1, 1, 1, 4, 4, 2, 1, 3, 1, 1, 0, 2, 4, 3, 0, 2, 0, 3, 1, 0, 1, 3, 1, 3, 0, 1, 0, 1, 0, 1, 0, 3, 4, 0, 2, 4, 3, 3, 3, 3, 2, 2, 0, 0, 2, 4, 4, 4, 3, 4, 3, 2, 1, 2, 4, 0, 4, 2, 4, 3, 2, 2, 1, 3, 3, 3, 4, 1, 4, 3, 2, 0, 4, 3, 1, 3, 0, 0, 2, 3, 3, 0, 3, 2, 4, 0, 4, 2, 3, 3, 3, 2, 4, 4, 3, 3, 4, 4, 1, 1, 0, 3, 3, 1, 4, 0, 2, 3, 0, 1, 1, 0, 4, 1, 1, 4, 3, 3, 2, 0, 0, 3, 4, 0, 4, 2, 2, 4, 4, 3, 3, 1, 0, 1, 3, 4, 1, 0, 2, 0, 4, 4, 1, 0, 2, 4, 3, 4, 1, 0, 0, 0, 4, 3, 1, 3, 3, 0, 4, 3, 4, 3, 3, 3, 1, 3, 1, 0, 2, 2, 0, 1, 4, 2, 1, 0, 4, 1, 3, 4, 0, 0, 2, 4, 2, 0, 2, 2, 1, 0, 2, 3, 4, 2, 1, 2, 1, 4, 3, 4, 1, 4, 3, 3, 2, 4, 4, 0, 0, 1, 3, 0, 2, 2, 0, 4, 0, 4, 1, 1, 2, 3, 4, 3, 4, 1, 2, 1, 3, 4, 1, 4, 0, 4, 1, 3, 2, 1, 3, 4, 4, 3, 4, 3, 0, 0, 3, 3, 4, 4, 4, 1, 2, 3, 0, 1, 3, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 4, 2, 3, 3, 4, 0, 4, 3, 1, 3, 4, 1, 4, 2, 4, 0, 2, 1, 0, 3, 4, 4, 0, 4, 3, 1, 3, 2, 0, 3, 2, 2, 4, 1, 0, 0, 0, 0, 1, 2, 3, 0, 2, 0, 0, 1, 3, 0, 1, 3, 0, 4, 1, 2, 2, 1, 4, 4, 0, 2, 4, 3, 2, 3, 3, 4, 4, 3, 4, 1, 3, 1, 3, 0, 0, 0]
pubkeycol1297 = [3, 2, 4, 3, 3, 2, 3, 3, 4, 2, 0, 4, 1, 1, 0, 3, 1, 3, 0, 2, 3, 0, 0, 2, 0, 2, 1, 2, 1, 0, 3, 4, 4, 2, 0, 1, 4, 3, 0, 3, 4, 4, 0, 4, 4, 1, 1, 2, 3, 0, 0, 0, 1, 0, 4, 3, 0, 2, 4, 3, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 4, 0, 1, 2, 3, 0, 2, 3, 3, 3, 1, 0, 2, 0, 0, 4, 1, 2, 0, 1, 2, 0, 2, 1, 1, 4, 0, 3, 3, 3, 1, 4, 1, 1, 1, 4, 2, 0, 0, 4, 4, 3, 3, 4, 1, 3, 1, 2, 3, 2, 0, 4, 2, 2, 4, 1, 0, 1, 4, 0, 4, 0, 2, 4, 1, 4, 0, 0, 0, 1, 1, 3, 3, 0, 2, 1, 4, 1, 3, 3, 2, 2, 0, 4, 0, 4, 1, 2, 0, 1, 3, 3, 4, 2, 4, 4, 0, 4, 3, 1, 0, 1, 3, 0, 3, 3, 0, 1, 0, 0, 3, 3, 3, 2, 4, 2, 2, 4, 0, 2, 1, 2, 3, 3, 2, 4, 0, 2, 4, 4, 2, 1, 3, 2, 1, 3, 3, 2, 1, 0, 0, 1, 2, 0, 4, 2, 3, 2, 1, 0, 4, 3, 1, 1, 0, 1, 2, 3, 0, 4, 4, 1, 2, 3, 2, 4, 4, 1, 3, 0, 2, 0, 0, 0, 0, 3, 0, 3, 3, 1, 1, 4, 1, 1, 3, 3, 1, 4, 0, 1, 1, 3, 0, 1, 1, 0, 1, 4, 4, 3, 2, 4, 2, 3, 2, 4, 1, 3, 2, 1, 3, 2, 3, 4, 1, 3, 1, 1, 3, 2, 1, 2, 1, 3, 2, 3, 0, 0, 3, 2, 2, 4, 0, 0, 4, 4, 0, 3, 0, 2, 0, 0, 4, 3, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 4, 0, 4, 3, 1, 4, 0, 0, 4, 3, 0, 3, 1, 4, 0, 3, 2, 2, 4, 3, 0, 4, 4, 2, 2, 2, 0, 3, 4, 2, 1, 3, 1, 3, 0, 0, 0, 1, 3, 3, 4, 1, 2, 3, 0, 1, 4, 4, 2, 4, 4, 2, 4, 1, 3, 0, 0, 0, 3, 1, 4, 4, 2, 0, 1, 4, 2, 0, 4, 2, 1, 1, 1, 2]
pubkeycol1298 = [1, 3, 4, 4, 3, 1, 1, 1, 3, 3, 4, 1, 1, 3, 1, 2, 3, 4, 1, 3, 3, 4, 4, 2, 3, 3, 0, 4, 0, 2, 2, 2, 2, 0, 2, 3, 4, 3, 4, 1, 0, 1, 3, 1, 1, 3, 0, 2, 4, 0, 0, 3, 2, 4, 2, 1, 1, 2, 2, 0, 3, 1, 4, 0, 2, 2, 2, 1, 0, 1, 3, 4, 3, 2, 3, 1, 0, 0, 3, 1, 2, 1, 3, 1, 1, 0, 0, 3, 1, 0, 1, 4, 3, 1, 1, 2, 1, 2, 2, 3, 0, 3, 1, 0, 4, 4, 2, 1, 1, 1, 0, 4, 4, 2, 4, 4, 4, 3, 2, 1, 0, 2, 2, 4, 3, 3, 0, 1, 0, 3, 3, 3, 3, 2, 1, 3, 0, 0, 2, 4, 0, 1, 1, 2, 4, 4, 2, 2, 3, 4, 0, 3, 4, 3, 1, 4, 0, 1, 1, 4, 0, 0, 3, 1, 0, 0, 0, 4, 2, 1, 3, 1, 1, 0, 4, 1, 2, 3, 4, 4, 2, 4, 4, 2, 3, 0, 3, 1, 0, 3, 2, 0, 0, 4, 2, 0, 4, 2, 2, 1, 2, 1, 3, 4, 4, 2, 0, 1, 3, 2, 0, 1, 3, 0, 0, 4, 0, 1, 1, 1, 1, 2, 3, 0, 2, 0, 3, 1, 2, 0, 0, 0, 1, 2, 4, 4, 3, 3, 0, 2, 3, 3, 2, 0, 4, 0, 3, 4, 1, 0, 1, 2, 2, 3, 4, 4, 0, 2, 2, 0, 1, 1, 1, 3, 3, 4, 4, 2, 1, 0, 2, 3, 2, 1, 3, 1, 1, 0, 0, 3, 0, 2, 0, 3, 4, 1, 1, 1, 3, 1, 2, 3, 0, 0, 1, 2, 2, 2, 2, 3, 4, 3, 0, 2, 0, 0, 4, 3, 1, 4, 0, 0, 1, 0, 2, 0, 4, 2, 4, 0, 3, 4, 4, 1, 2, 3, 1, 2, 2, 0, 4, 4, 2, 4, 0, 1, 4, 1, 2, 1, 3, 1, 3, 4, 2, 1, 4, 2, 3, 3, 4, 3, 2, 4, 0, 4, 1, 0, 3, 3, 3, 1, 0, 2, 0, 2, 0, 1, 3, 2, 4, 3, 0, 2, 0, 2, 1, 3, 1, 4, 4, 1, 2, 4, 1, 0, 0, 4, 4, 4, 1, 1, 0, 2, 4, 2, 3, 1, 0, 4]
pubkeycol1299 = [0, 1, 4, 0, 4, 1, 1, 3, 1, 1, 4, 1, 0, 1, 3, 3, 4, 4, 2, 0, 2, 2, 1, 4, 3, 4, 0, 1, 0, 1, 4, 0, 4, 1, 1, 1, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 4, 2, 1, 4, 2, 0, 3, 1, 2, 1, 2, 4, 0, 0, 3, 3, 1, 3, 2, 2, 0, 4, 3, 1, 3, 3, 4, 0, 0, 1, 2, 4, 3, 1, 0, 1, 3, 4, 1, 4, 3, 3, 1, 0, 4, 2, 0, 4, 1, 4, 0, 3, 2, 4, 2, 2, 0, 2, 1, 2, 3, 1, 0, 0, 4, 0, 1, 1, 1, 1, 3, 4, 1, 1, 3, 1, 0, 4, 1, 1, 2, 2, 3, 1, 2, 3, 0, 1, 4, 4, 0, 2, 1, 3, 4, 3, 0, 0, 4, 1, 0, 2, 1, 2, 4, 2, 4, 2, 0, 4, 2, 3, 2, 1, 1, 0, 0, 4, 1, 3, 2, 2, 2, 2, 1, 0, 3, 2, 4, 2, 0, 3, 1, 4, 2, 0, 3, 1, 0, 2, 2, 3, 0, 1, 4, 4, 2, 2, 4, 4, 3, 0, 0, 2, 0, 3, 4, 2, 4, 3, 2, 0, 0, 3, 0, 3, 3, 0, 4, 0, 0, 3, 4, 4, 2, 1, 3, 1, 2, 4, 1, 2, 1, 0, 3, 1, 0, 0, 2, 1, 2, 1, 4, 1, 4, 3, 2, 0, 1, 3, 3, 2, 0, 3, 1, 0, 0, 3, 2, 4, 0, 2, 2, 1, 4, 1, 0, 4, 4, 4, 2, 4, 1, 0, 2, 1, 0, 3, 0, 0, 3, 4, 3, 4, 0, 3, 1, 2, 1, 4, 3, 4, 1, 1, 4, 0, 3, 3, 4, 3, 2, 3, 2, 3, 2, 3, 4, 1, 2, 0, 2, 2, 0, 0, 3, 4, 3, 1, 2, 2, 1, 1, 1, 4, 1, 1, 4, 2, 4, 2, 2, 2, 2, 4, 4, 4, 2, 0, 1, 1, 2, 2, 2, 1, 1, 3, 1, 0, 4, 0, 1, 4, 1, 0, 1, 0, 4, 1, 3, 1, 3, 2, 0, 1, 2, 1, 4, 4, 4, 2, 0, 3, 3, 3, 3, 3, 1, 4, 2, 4, 2, 1, 0, 2, 2, 2, 3, 3, 4, 1, 0, 3, 1, 0, 3, 0, 1, 0, 4, 0, 3]
pubkeycol1300 = [2, 2, 4, 4, 3, 3, 3, 0, 2, 3, 0, 0, 4, 2, 1, 1, 3, 4, 3, 3, 4, 3, 1, 0, 1, 3, 0, 2, 3, 4, 3, 0, 1, 2, 1, 3, 4, 1, 4, 2, 3, 2, 2, 4, 1, 3, 3, 1, 3, 0, 0, 2, 4, 4, 1, 1, 0, 3, 1, 1, 2, 0, 3, 3, 1, 2, 1, 4, 3, 4, 0, 1, 4, 1, 0, 0, 4, 1, 3, 4, 1, 4, 4, 2, 3, 0, 2, 1, 3, 4, 4, 4, 1, 2, 2, 0, 2, 0, 1, 4, 3, 1, 4, 2, 2, 1, 0, 0, 2, 2, 2, 4, 3, 1, 1, 3, 3, 2, 4, 0, 2, 3, 0, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 4, 4, 1, 0, 3, 4, 1, 2, 4, 1, 1, 4, 0, 4, 1, 2, 0, 0, 3, 3, 3, 4, 0, 0, 3, 4, 1, 4, 0, 1, 2, 0, 0, 1, 4, 3, 1, 1, 3, 4, 3, 1, 0, 2, 0, 2, 2, 1, 4, 3, 3, 2, 2, 2, 4, 1, 4, 3, 2, 3, 0, 0, 0, 1, 0, 3, 3, 0, 0, 3, 2, 4, 1, 2, 2, 3, 2, 0, 3, 3, 0, 3, 4, 1, 0, 2, 1, 0, 3, 0, 4, 1, 0, 2, 2, 4, 2, 1, 4, 4, 1, 4, 0, 4, 0, 0, 3, 0, 1, 2, 0, 3, 0, 2, 3, 0, 4, 0, 3, 4, 3, 2, 0, 4, 4, 4, 4, 0, 3, 0, 3, 2, 4, 0, 0, 1, 4, 3, 3, 2, 1, 0, 4, 4, 1, 3, 2, 4, 4, 1, 1, 3, 4, 2, 4, 4, 3, 0, 0, 0, 1, 1, 0, 0, 4, 1, 3, 2, 0, 1, 3, 2, 2, 4, 2, 2, 2, 4, 0, 4, 0, 1, 4, 1, 4, 4, 4, 4, 4, 1, 1, 0, 4, 4, 2, 4, 2, 2, 4, 3, 4, 4, 4, 0, 1, 1, 4, 4, 2, 4, 1, 1, 4, 2, 4, 4, 4, 3, 4, 1, 3, 2, 4, 0, 3, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 4, 0, 2, 0, 3, 0, 2, 4, 2, 1, 0, 1, 1, 4, 2, 3, 0, 0, 2, 1, 4, 4, 1, 2, 0, 2, 3, 0, 2, 4, 0, 1]
pubkeycol1301 = [2, 1, 4, 2, 1, 0, 0, 3, 4, 0, 3, 4, 0, 1, 0, 2, 0, 1, 4, 3, 1, 1, 0, 0, 1, 4, 4, 0, 2, 2, 4, 2, 1, 0, 4, 2, 3, 2, 2, 3, 2, 4, 2, 1, 0, 0, 4, 3, 2, 3, 0, 4, 0, 2, 2, 4, 3, 0, 0, 3, 3, 2, 0, 3, 2, 0, 0, 4, 4, 1, 4, 0, 2, 3, 2, 3, 1, 1, 0, 0, 0, 2, 3, 0, 2, 0, 4, 4, 3, 0, 1, 1, 3, 0, 2, 0, 4, 3, 1, 1, 4, 3, 0, 3, 4, 1, 1, 0, 1, 3, 0, 3, 1, 0, 3, 0, 4, 1, 1, 3, 3, 1, 0, 0, 1, 4, 0, 4, 3, 2, 4, 2, 2, 0, 0, 2, 4, 1, 4, 4, 4, 4, 1, 1, 1, 1, 3, 4, 0, 0, 3, 4, 4, 0, 0, 0, 2, 4, 2, 4, 4, 2, 1, 1, 2, 1, 1, 0, 0, 3, 3, 3, 4, 3, 3, 3, 3, 1, 4, 0, 4, 2, 1, 3, 4, 4, 3, 0, 0, 1, 2, 2, 0, 3, 4, 4, 2, 3, 3, 0, 1, 3, 2, 0, 1, 3, 1, 4, 1, 4, 2, 4, 0, 1, 2, 1, 0, 0, 3, 0, 3, 4, 1, 1, 1, 2, 0, 0, 0, 4, 0, 2, 0, 3, 4, 4, 1, 0, 0, 2, 3, 4, 4, 1, 4, 1, 1, 0, 3, 4, 0, 1, 2, 3, 0, 2, 3, 4, 4, 2, 0, 4, 4, 2, 0, 0, 0, 1, 1, 4, 1, 0, 0, 0, 4, 4, 4, 1, 3, 0, 3, 0, 2, 3, 1, 4, 2, 0, 2, 4, 2, 4, 3, 4, 2, 1, 3, 2, 3, 0, 0, 2, 1, 3, 0, 4, 3, 3, 1, 0, 3, 0, 0, 1, 4, 2, 4, 0, 1, 3, 3, 3, 3, 2, 2, 1, 4, 2, 3, 3, 2, 0, 2, 3, 4, 3, 1, 0, 3, 1, 3, 0, 3, 1, 4, 2, 1, 0, 0, 0, 1, 3, 0, 2, 0, 1, 3, 0, 3, 2, 1, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 1, 4, 1, 1, 2, 0, 1, 3, 4, 2, 4, 1, 1, 4, 2, 1, 4, 4, 1, 1, 3, 1, 4, 3, 0, 1, 2, 2]
pubkeycol1302 = [0, 0, 1, 4, 1, 2, 2, 1, 3, 3, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 3, 3, 4, 4, 0, 2, 3, 3, 4, 4, 1, 2, 1, 3, 4, 2, 4, 4, 2, 4, 3, 3, 2, 1, 0, 1, 0, 4, 0, 2, 2, 3, 3, 3, 1, 2, 2, 4, 3, 3, 3, 0, 0, 2, 4, 2, 0, 0, 2, 4, 0, 3, 0, 0, 2, 2, 2, 3, 2, 4, 4, 4, 0, 1, 3, 1, 3, 3, 2, 2, 3, 4, 4, 2, 2, 2, 0, 4, 3, 3, 0, 0, 0, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 0, 3, 3, 0, 2, 3, 3, 0, 2, 2, 0, 1, 2, 1, 4, 3, 0, 4, 1, 3, 4, 0, 1, 0, 3, 2, 4, 2, 3, 2, 3, 4, 4, 1, 1, 1, 1, 1, 1, 3, 0, 3, 2, 1, 4, 4, 4, 2, 2, 1, 1, 4, 3, 2, 1, 4, 4, 2, 2, 1, 3, 0, 3, 0, 1, 1, 4, 3, 4, 1, 3, 2, 1, 2, 3, 3, 1, 2, 3, 0, 0, 3, 3, 4, 0, 1, 1, 4, 1, 3, 0, 0, 0, 4, 4, 1, 0, 0, 0, 3, 3, 2, 3, 0, 2, 4, 0, 2, 4, 0, 2, 1, 4, 2, 1, 2, 2, 0, 0, 4, 0, 2, 3, 3, 2, 1, 4, 4, 4, 4, 3, 4, 0, 3, 0, 1, 4, 2, 3, 2, 1, 2, 0, 4, 3, 0, 4, 0, 1, 0, 1, 2, 2, 3, 2, 0, 4, 3, 4, 4, 4, 3, 4, 0, 0, 4, 0, 0, 4, 2, 2, 0, 1, 1, 1, 3, 1, 0, 0, 2, 4, 1, 2, 3, 1, 2, 3, 0, 0, 0, 0, 2, 3, 4, 0, 2, 1, 2, 0, 3, 2, 4, 3, 0, 3, 0, 1, 0, 4, 2, 3, 4, 4, 2, 1, 1, 1, 0, 4, 4, 3, 0, 2, 4, 1, 0, 3, 1, 0, 2, 4, 4, 0, 4, 0, 0, 3, 4, 3, 3, 0, 0, 4, 4, 2, 1, 3, 3, 0, 1, 0, 4, 0, 2, 3, 1, 3, 2, 0, 0, 2, 3, 3, 2, 1, 2, 1, 3, 3, 1, 2, 1, 3, 0, 4, 0, 3, 3, 1, 1, 1, 2, 4, 0, 4, 1]
pubkeycol1303 = [4, 2, 4, 3, 3, 3, 4, 0, 0, 1, 3, 1, 2, 4, 4, 0, 3, 1, 2, 4, 4, 3, 1, 3, 1, 4, 1, 0, 3, 1, 4, 0, 4, 2, 4, 0, 2, 3, 2, 3, 1, 2, 1, 2, 3, 0, 1, 2, 0, 2, 1, 1, 2, 4, 0, 3, 3, 0, 3, 0, 3, 0, 4, 1, 2, 0, 1, 2, 3, 0, 1, 4, 1, 0, 2, 0, 4, 2, 4, 0, 0, 3, 4, 4, 1, 2, 3, 3, 4, 3, 2, 0, 2, 0, 4, 0, 3, 3, 1, 1, 2, 4, 0, 4, 3, 4, 4, 0, 3, 2, 0, 4, 0, 2, 2, 2, 2, 3, 2, 2, 4, 1, 3, 4, 0, 3, 1, 1, 4, 2, 1, 4, 3, 1, 4, 1, 0, 1, 1, 1, 4, 1, 2, 1, 4, 3, 3, 1, 4, 3, 2, 0, 0, 3, 0, 2, 0, 0, 3, 0, 2, 4, 0, 3, 1, 2, 3, 3, 3, 4, 3, 0, 4, 2, 2, 3, 3, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 3, 3, 4, 4, 0, 4, 1, 0, 0, 0, 1, 4, 1, 4, 4, 1, 3, 1, 3, 1, 0, 4, 4, 2, 0, 1, 1, 0, 1, 3, 4, 0, 3, 3, 2, 3, 2, 1, 1, 0, 0, 3, 3, 1, 2, 2, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 4, 1, 1, 3, 2, 1, 0, 0, 1, 4, 4, 4, 2, 0, 4, 2, 2, 4, 2, 2, 0, 0, 4, 0, 1, 4, 1, 3, 1, 4, 2, 3, 3, 2, 1, 3, 3, 0, 4, 0, 2, 0, 1, 1, 2, 1, 1, 2, 4, 2, 2, 0, 3, 4, 2, 0, 0, 0, 4, 4, 1, 3, 0, 0, 2, 4, 3, 4, 3, 3, 0, 1, 2, 3, 1, 0, 2, 3, 1, 0, 2, 2, 2, 1, 3, 0, 2, 0, 4, 0, 1, 1, 4, 4, 2, 2, 1, 0, 2, 4, 0, 2, 2, 0, 1, 1, 3, 4, 3, 4, 4, 4, 0, 1, 1, 0, 0, 4, 3, 0, 3, 3, 0, 4, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 1, 0, 2, 3, 1, 0, 2, 4, 3, 1, 1, 4, 4, 2, 3, 0, 4]
pubkeycol1304 = [4, 3, 2, 4, 2, 0, 4, 1, 1, 3, 0, 1, 2, 0, 2, 1, 2, 4, 1, 4, 3, 4, 0, 2, 1, 4, 2, 0, 4, 2, 4, 3, 4, 4, 2, 0, 4, 1, 3, 3, 1, 2, 4, 3, 3, 2, 2, 1, 2, 0, 0, 1, 3, 0, 4, 0, 4, 0, 4, 1, 1, 0, 3, 0, 0, 3, 2, 0, 1, 4, 1, 0, 0, 0, 2, 3, 3, 2, 0, 4, 0, 4, 3, 4, 1, 3, 0, 4, 1, 1, 2, 3, 4, 3, 0, 2, 3, 4, 4, 1, 2, 4, 1, 1, 1, 2, 4, 1, 0, 4, 3, 4, 4, 3, 1, 4, 3, 1, 2, 0, 1, 1, 3, 3, 0, 1, 3, 2, 3, 0, 0, 0, 0, 4, 3, 4, 4, 4, 2, 1, 4, 1, 4, 3, 4, 1, 3, 4, 3, 4, 3, 1, 2, 4, 0, 2, 2, 4, 4, 4, 4, 2, 1, 0, 0, 0, 3, 4, 2, 1, 4, 1, 2, 1, 0, 1, 3, 4, 3, 4, 1, 2, 1, 2, 1, 4, 3, 2, 4, 1, 4, 3, 4, 4, 2, 1, 4, 4, 0, 1, 0, 4, 3, 4, 1, 1, 3, 4, 1, 1, 1, 2, 2, 4, 2, 1, 0, 2, 4, 2, 2, 3, 2, 0, 3, 0, 0, 4, 2, 2, 0, 3, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 4, 2, 0, 1, 2, 0, 2, 4, 1, 4, 2, 3, 4, 2, 2, 4, 0, 1, 1, 2, 3, 4, 2, 4, 0, 3, 2, 2, 1, 0, 3, 0, 1, 3, 2, 0, 2, 2, 3, 2, 4, 0, 1, 3, 2, 1, 4, 2, 1, 2, 4, 2, 0, 1, 1, 1, 3, 2, 3, 1, 0, 1, 1, 1, 3, 2, 3, 3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 3, 3, 3, 4, 4, 1, 2, 1, 4, 2, 3, 0, 1, 0, 4, 0, 0, 1, 4, 2, 2, 1, 0, 3, 4, 2, 3, 2, 4, 1, 1, 3, 2, 2, 3, 2, 3, 1, 1, 0, 2, 3, 3, 0, 0, 2, 1, 0, 4, 4, 1, 3, 4, 0, 0, 2, 0, 0, 0, 4, 2, 2, 1, 1, 0, 0, 2, 1, 4, 0, 0, 0, 4, 2, 0, 0, 0, 1]
pubkeycol1305 = [1, 0, 1, 0, 4, 0, 3, 0, 0, 2, 2, 1, 3, 4, 0, 4, 0, 4, 1, 1, 0, 0, 3, 3, 1, 0, 2, 2, 0, 4, 3, 1, 0, 1, 1, 2, 3, 2, 0, 1, 4, 4, 1, 0, 2, 1, 4, 2, 0, 1, 4, 1, 4, 0, 0, 3, 0, 1, 1, 2, 1, 3, 3, 0, 4, 3, 3, 1, 2, 4, 1, 0, 1, 2, 4, 4, 2, 0, 0, 2, 3, 2, 3, 4, 4, 3, 4, 0, 3, 4, 0, 3, 1, 1, 3, 1, 2, 3, 4, 1, 4, 1, 3, 0, 3, 2, 1, 0, 1, 1, 0, 0, 2, 3, 0, 2, 4, 4, 2, 2, 3, 3, 4, 3, 3, 2, 1, 3, 3, 3, 4, 2, 0, 1, 4, 4, 0, 1, 1, 4, 3, 0, 0, 1, 1, 0, 4, 3, 0, 0, 0, 2, 0, 3, 0, 0, 0, 0, 4, 3, 3, 2, 1, 1, 1, 0, 4, 4, 3, 4, 4, 4, 1, 2, 1, 4, 1, 3, 2, 4, 4, 3, 2, 0, 3, 4, 4, 3, 2, 4, 0, 1, 4, 0, 3, 2, 2, 4, 2, 3, 1, 3, 0, 4, 3, 3, 4, 0, 2, 1, 4, 2, 3, 2, 3, 1, 0, 3, 3, 0, 0, 1, 1, 0, 3, 4, 4, 3, 1, 0, 2, 2, 1, 4, 4, 2, 3, 2, 1, 4, 4, 3, 1, 1, 3, 3, 0, 2, 4, 3, 0, 1, 1, 0, 2, 3, 4, 2, 0, 1, 3, 1, 4, 0, 2, 0, 2, 3, 3, 1, 1, 4, 2, 0, 0, 2, 2, 4, 1, 3, 4, 2, 3, 3, 0, 4, 2, 2, 3, 3, 3, 0, 2, 0, 1, 2, 2, 2, 2, 1, 3, 4, 1, 0, 3, 1, 2, 4, 1, 0, 4, 3, 3, 3, 0, 0, 3, 0, 2, 4, 4, 3, 0, 3, 1, 1, 0, 2, 2, 2, 4, 3, 2, 2, 1, 2, 1, 3, 4, 0, 0, 0, 2, 4, 1, 3, 1, 2, 2, 0, 4, 3, 0, 2, 3, 1, 1, 2, 1, 3, 1, 4, 4, 2, 4, 3, 3, 3, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 1, 4, 4, 1, 3, 0]
pubkeycol1306 = [2, 1, 4, 0, 1, 4, 2, 1, 0, 4, 3, 0, 2, 2, 3, 3, 4, 2, 4, 0, 2, 3, 0, 2, 4, 2, 3, 1, 2, 2, 1, 1, 1, 1, 3, 1, 3, 2, 4, 3, 2, 0, 1, 4, 4, 0, 2, 3, 1, 1, 0, 2, 1, 1, 2, 3, 1, 0, 4, 1, 4, 4, 0, 3, 1, 2, 2, 0, 0, 2, 1, 3, 2, 1, 0, 3, 1, 4, 2, 0, 1, 0, 3, 4, 3, 1, 4, 4, 4, 1, 1, 2, 2, 2, 4, 0, 0, 4, 4, 1, 2, 1, 1, 2, 2, 0, 2, 4, 4, 1, 2, 3, 4, 3, 4, 4, 4, 3, 2, 4, 3, 0, 4, 3, 0, 0, 4, 0, 0, 4, 4, 4, 1, 3, 3, 4, 4, 1, 3, 2, 0, 2, 4, 1, 1, 2, 3, 1, 4, 1, 0, 2, 4, 1, 3, 1, 2, 0, 2, 4, 4, 1, 2, 0, 4, 0, 3, 3, 2, 1, 3, 2, 2, 2, 4, 3, 1, 4, 2, 4, 1, 1, 4, 3, 0, 3, 3, 4, 4, 0, 2, 0, 3, 4, 1, 1, 0, 2, 2, 0, 2, 3, 4, 3, 1, 4, 2, 1, 3, 1, 2, 2, 4, 4, 1, 1, 4, 4, 3, 2, 3, 3, 0, 4, 1, 0, 2, 1, 1, 2, 4, 0, 3, 1, 4, 4, 1, 3, 0, 2, 2, 0, 2, 2, 0, 0, 4, 2, 0, 2, 3, 2, 3, 4, 0, 1, 0, 2, 0, 4, 4, 0, 0, 1, 0, 0, 1, 0, 3, 2, 0, 2, 1, 1, 1, 3, 2, 3, 3, 1, 3, 3, 4, 3, 2, 3, 1, 0, 0, 4, 1, 0, 4, 4, 0, 0, 4, 2, 4, 2, 2, 2, 4, 3, 0, 0, 2, 1, 4, 0, 4, 1, 2, 0, 3, 4, 3, 2, 0, 1, 0, 0, 3, 1, 1, 1, 0, 4, 3, 3, 4, 2, 1, 1, 2, 1, 3, 1, 4, 4, 3, 1, 1, 2, 3, 4, 0, 4, 3, 4, 1, 2, 3, 4, 2, 4, 3, 1, 3, 1, 2, 3, 4, 0, 1, 1, 3, 0, 3, 1, 4, 4, 1, 0, 4, 4, 3, 0, 4, 3, 2, 2, 0, 1, 4, 2, 3, 1, 4, 2, 1, 4, 2, 3, 1, 2, 0, 1, 1, 4]
pubkeycol1307 = [2, 2, 4, 4, 4, 1, 0, 4, 1, 1, 1, 3, 4, 4, 4, 4, 1, 3, 4, 4, 2, 4, 1, 0, 1, 2, 4, 2, 1, 1, 4, 0, 1, 4, 3, 4, 0, 2, 0, 0, 4, 0, 1, 4, 0, 4, 4, 2, 2, 4, 0, 4, 2, 0, 3, 2, 2, 0, 4, 0, 1, 4, 3, 1, 0, 0, 4, 3, 4, 4, 2, 0, 2, 0, 3, 3, 2, 4, 1, 3, 4, 3, 1, 0, 4, 2, 2, 0, 3, 2, 1, 4, 0, 0, 1, 2, 3, 2, 3, 2, 3, 1, 2, 4, 1, 0, 3, 2, 0, 4, 0, 0, 0, 0, 1, 2, 3, 0, 3, 4, 0, 2, 4, 0, 2, 4, 2, 3, 1, 4, 1, 2, 3, 1, 4, 1, 3, 4, 2, 1, 1, 2, 4, 4, 2, 1, 2, 3, 4, 2, 2, 3, 3, 3, 1, 3, 1, 2, 0, 2, 1, 3, 2, 4, 2, 4, 2, 2, 4, 2, 0, 3, 2, 2, 2, 1, 3, 4, 3, 4, 0, 1, 3, 1, 1, 2, 4, 2, 2, 1, 3, 1, 0, 2, 0, 1, 1, 2, 0, 3, 3, 4, 0, 2, 1, 1, 3, 3, 0, 2, 2, 1, 0, 1, 0, 3, 4, 3, 2, 3, 1, 0, 2, 2, 2, 3, 2, 2, 1, 2, 4, 4, 0, 1, 1, 4, 0, 2, 1, 3, 3, 1, 3, 4, 1, 0, 4, 4, 3, 1, 2, 1, 1, 4, 3, 2, 4, 4, 0, 1, 0, 4, 0, 1, 4, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 0, 2, 0, 4, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 3, 4, 2, 0, 3, 4, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 4, 1, 3, 1, 4, 4, 0, 4, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 3, 2, 2, 1, 4, 0, 4, 1, 4, 1, 0, 1, 2, 1, 3, 0, 2, 4, 3, 2, 4, 1, 2, 0, 2, 1, 1, 0, 2, 3, 4, 2, 4, 4, 4, 2, 3, 0, 2, 2, 0, 0, 0, 0, 3, 4, 4, 3, 3, 0, 3, 4, 3, 2, 4, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 2, 3, 4, 2, 0, 3, 4, 0, 1, 1, 0]
pubkeycol1308 = [3, 2, 0, 0, 1, 2, 3, 0, 4, 3, 3, 0, 4, 4, 2, 3, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 3, 4, 3, 2, 2, 1, 3, 3, 0, 0, 3, 1, 4, 2, 3, 2, 1, 0, 3, 3, 1, 2, 4, 4, 4, 0, 4, 4, 4, 4, 3, 1, 1, 3, 1, 3, 0, 2, 0, 1, 3, 0, 4, 0, 4, 4, 4, 4, 0, 0, 2, 1, 3, 1, 2, 2, 3, 0, 2, 1, 4, 2, 3, 2, 0, 0, 0, 0, 1, 1, 4, 3, 2, 2, 1, 0, 1, 3, 4, 3, 4, 4, 0, 3, 2, 4, 1, 2, 2, 2, 2, 0, 1, 1, 4, 2, 0, 2, 3, 4, 2, 0, 2, 0, 1, 3, 1, 2, 4, 0, 0, 2, 1, 2, 0, 2, 0, 3, 1, 3, 4, 1, 4, 3, 3, 1, 0, 4, 2, 1, 0, 3, 2, 2, 4, 3, 3, 2, 1, 1, 3, 3, 1, 4, 2, 4, 2, 2, 1, 4, 3, 2, 2, 1, 1, 1, 2, 2, 2, 4, 2, 3, 0, 1, 1, 2, 3, 1, 2, 4, 3, 4, 3, 2, 1, 3, 2, 1, 0, 1, 0, 2, 4, 3, 4, 0, 0, 3, 1, 2, 2, 3, 1, 2, 0, 3, 0, 3, 0, 4, 3, 3, 4, 3, 1, 4, 0, 0, 4, 0, 0, 0, 2, 0, 2, 0, 0, 4, 1, 3, 3, 4, 2, 1, 0, 2, 2, 4, 1, 3, 1, 0, 0, 0, 1, 3, 1, 2, 3, 3, 1, 2, 4, 3, 0, 0, 0, 1, 0, 3, 0, 1, 3, 2, 2, 1, 1, 2, 4, 0, 1, 3, 3, 2, 4, 2, 1, 4, 2, 0, 2, 4, 3, 1, 0, 1, 4, 2, 4, 0, 1, 2, 2, 3, 1, 4, 3, 3, 1, 3, 2, 3, 4, 4, 0, 0, 1, 1, 2, 4, 0, 3, 4, 0, 3, 3, 2, 4, 0, 3, 1, 0, 4, 4, 0, 0, 4, 4, 4, 1, 0, 3, 3, 2, 3, 2, 2, 4, 1, 1, 0, 4, 2, 0, 0, 1, 2, 2, 4, 1, 3, 2, 4, 4, 2, 2, 4, 3, 2, 4, 0, 2, 4, 1, 4, 0, 4, 0, 1, 3, 3, 0, 0, 2, 3, 4, 0, 4, 0, 4, 3, 1, 0]
pubkeycol1309 = [1, 4, 4, 4, 0, 2, 1, 1, 3, 2, 3, 1, 0, 1, 4, 1, 1, 4, 1, 2, 2, 1, 4, 1, 3, 1, 3, 1, 3, 2, 0, 3, 1, 3, 3, 4, 3, 4, 2, 4, 0, 3, 0, 2, 1, 2, 4, 3, 2, 0, 2, 4, 0, 3, 4, 3, 2, 4, 0, 2, 3, 3, 2, 3, 4, 2, 4, 0, 3, 0, 3, 4, 1, 0, 0, 2, 0, 3, 3, 4, 1, 3, 1, 2, 2, 3, 4, 3, 2, 4, 0, 0, 4, 3, 3, 0, 3, 0, 2, 4, 1, 3, 3, 3, 1, 3, 2, 0, 1, 3, 0, 0, 1, 4, 3, 1, 1, 0, 0, 0, 4, 2, 1, 3, 4, 3, 4, 3, 1, 0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 3, 4, 2, 0, 4, 0, 2, 3, 4, 0, 2, 1, 2, 0, 0, 2, 3, 0, 2, 3, 4, 1, 3, 3, 4, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 3, 1, 2, 2, 0, 0, 3, 0, 0, 0, 0, 3, 0, 1, 0, 2, 4, 2, 4, 1, 0, 4, 2, 0, 0, 4, 4, 0, 1, 0, 3, 2, 3, 3, 3, 4, 0, 2, 3, 2, 0, 4, 1, 0, 0, 1, 3, 3, 4, 3, 0, 0, 4, 0, 4, 2, 4, 3, 4, 4, 2, 4, 4, 2, 2, 4, 2, 2, 3, 3, 3, 0, 3, 0, 0, 3, 3, 1, 3, 2, 1, 4, 2, 3, 0, 2, 1, 3, 2, 2, 0, 4, 3, 3, 0, 0, 1, 1, 3, 3, 2, 1, 2, 0, 0, 4, 0, 0, 4, 3, 2, 4, 0, 2, 4, 3, 2, 0, 4, 4, 1, 0, 4, 3, 0, 3, 2, 3, 0, 3, 4, 0, 0, 0, 2, 3, 1, 3, 3, 2, 4, 4, 3, 2, 2, 0, 1, 3, 0, 3, 4, 3, 3, 2, 4, 2, 0, 3, 2, 1, 0, 2, 1, 2, 0, 3, 3, 3, 1, 3, 1, 2, 3, 4, 2, 2, 1, 0, 0, 3, 0, 3, 0, 1, 3, 2, 2, 0, 0, 2, 4, 3, 1, 3, 0, 2, 4, 4, 2, 3, 2, 1, 0, 3, 2, 3, 3, 1, 3, 0, 1, 4, 0, 0, 3, 0, 2, 2, 3, 0]
pubkeycol1310 = [0, 3, 2, 1, 1, 0, 3, 1, 4, 2, 2, 3, 0, 3, 4, 0, 0, 2, 0, 4, 2, 0, 3, 0, 1, 3, 2, 1, 1, 2, 1, 0, 3, 2, 3, 4, 0, 2, 3, 0, 0, 1, 0, 2, 1, 4, 3, 2, 1, 3, 4, 3, 2, 3, 0, 1, 0, 0, 0, 0, 4, 3, 3, 0, 1, 1, 3, 0, 2, 1, 0, 1, 3, 1, 0, 4, 1, 1, 3, 1, 0, 1, 0, 2, 1, 0, 2, 0, 3, 3, 1, 0, 1, 1, 1, 2, 4, 2, 3, 4, 2, 0, 2, 0, 2, 3, 0, 2, 4, 4, 1, 2, 2, 4, 4, 4, 0, 0, 1, 3, 2, 4, 0, 1, 1, 1, 1, 4, 3, 0, 3, 3, 0, 3, 0, 1, 1, 4, 0, 4, 2, 4, 2, 2, 1, 1, 4, 1, 0, 2, 0, 3, 2, 4, 4, 4, 3, 3, 0, 2, 3, 4, 2, 2, 1, 1, 2, 2, 3, 3, 4, 2, 1, 4, 1, 4, 3, 3, 1, 1, 0, 1, 0, 2, 3, 0, 2, 1, 1, 4, 0, 2, 3, 4, 0, 1, 0, 3, 3, 2, 2, 0, 1, 2, 1, 0, 2, 4, 1, 2, 2, 4, 1, 2, 0, 2, 4, 1, 2, 1, 4, 2, 3, 1, 1, 3, 1, 0, 3, 3, 2, 2, 1, 2, 0, 1, 3, 3, 0, 3, 0, 2, 1, 4, 0, 4, 1, 2, 2, 2, 4, 1, 1, 0, 1, 3, 4, 1, 4, 4, 0, 4, 3, 0, 3, 3, 3, 4, 2, 1, 2, 3, 3, 0, 4, 1, 3, 3, 1, 2, 4, 2, 0, 3, 3, 3, 2, 2, 0, 1, 2, 0, 2, 4, 3, 2, 4, 0, 2, 2, 1, 1, 3, 0, 3, 0, 2, 2, 4, 4, 3, 2, 2, 3, 0, 3, 3, 4, 2, 1, 3, 3, 2, 2, 1, 2, 0, 2, 0, 3, 4, 3, 0, 1, 1, 4, 2, 3, 2, 0, 4, 1, 4, 3, 3, 1, 2, 1, 3, 3, 1, 1, 0, 3, 3, 1, 2, 2, 2, 4, 1, 2, 1, 4, 3, 1, 1, 2, 3, 1, 4, 0, 1, 0, 0, 1, 4, 0, 3, 4, 4, 4, 4, 4, 3, 1, 4, 2, 2, 4, 2, 2, 2, 1, 3, 4, 3, 0, 2, 1]
pubkeycol1311 = [0, 0, 4, 4, 0, 3, 0, 1, 1, 0, 0, 2, 3, 2, 3, 3, 3, 4, 4, 2, 4, 3, 2, 1, 2, 3, 3, 1, 2, 4, 0, 3, 3, 0, 1, 1, 1, 3, 0, 0, 4, 4, 4, 1, 2, 2, 0, 4, 2, 4, 4, 3, 0, 2, 3, 0, 0, 2, 4, 1, 2, 0, 3, 0, 0, 0, 3, 4, 4, 3, 0, 4, 2, 4, 2, 3, 3, 3, 1, 1, 2, 4, 2, 1, 3, 2, 4, 2, 1, 4, 1, 4, 2, 4, 1, 0, 3, 3, 4, 2, 2, 1, 3, 3, 1, 0, 2, 2, 2, 3, 0, 1, 3, 0, 4, 4, 1, 2, 0, 2, 4, 4, 0, 3, 3, 4, 3, 2, 0, 0, 3, 2, 0, 1, 1, 4, 4, 3, 1, 3, 0, 4, 0, 0, 3, 0, 1, 0, 2, 3, 3, 4, 4, 1, 3, 4, 3, 4, 2, 1, 0, 3, 2, 2, 4, 1, 4, 3, 4, 1, 0, 1, 4, 3, 3, 3, 2, 0, 0, 3, 3, 0, 4, 0, 2, 2, 3, 1, 2, 1, 1, 1, 3, 0, 2, 3, 2, 3, 1, 1, 3, 2, 1, 2, 0, 4, 1, 1, 0, 3, 0, 3, 4, 2, 2, 3, 4, 4, 4, 1, 4, 2, 3, 2, 1, 1, 2, 0, 1, 2, 0, 0, 4, 4, 4, 4, 0, 2, 0, 3, 1, 1, 0, 1, 0, 1, 4, 4, 0, 4, 3, 0, 4, 3, 2, 4, 0, 2, 2, 2, 4, 2, 2, 4, 3, 2, 1, 1, 2, 1, 2, 0, 3, 0, 1, 1, 0, 0, 4, 4, 4, 1, 4, 0, 3, 1, 4, 1, 3, 1, 2, 0, 2, 2, 0, 2, 3, 4, 0, 1, 0, 1, 1, 4, 3, 1, 2, 1, 3, 2, 4, 4, 2, 2, 0, 0, 4, 3, 1, 0, 2, 2, 1, 0, 3, 1, 4, 4, 2, 1, 1, 2, 3, 0, 4, 1, 3, 0, 4, 0, 1, 3, 2, 0, 4, 2, 2, 4, 1, 3, 0, 2, 0, 4, 2, 2, 2, 0, 2, 4, 2, 3, 1, 2, 1, 3, 3, 0, 3, 4, 4, 4, 0, 4, 4, 2, 3, 0, 3, 2, 0, 4, 0, 2, 2, 1, 4, 1, 3, 4, 1, 4, 2, 1, 0, 2, 3, 0, 2, 4]
pubkeycol1312 = [4, 3, 4, 3, 2, 2, 3, 1, 2, 2, 3, 3, 4, 2, 1, 1, 0, 3, 1, 3, 3, 4, 3, 4, 0, 0, 3, 0, 1, 1, 1, 4, 0, 4, 0, 0, 0, 0, 2, 3, 2, 4, 1, 4, 1, 0, 3, 2, 3, 3, 4, 4, 0, 0, 4, 0, 0, 3, 1, 4, 1, 1, 4, 3, 2, 2, 0, 2, 3, 4, 3, 3, 0, 1, 3, 4, 3, 0, 3, 4, 3, 3, 2, 3, 1, 1, 4, 4, 0, 3, 2, 1, 3, 4, 4, 0, 2, 4, 0, 3, 3, 4, 0, 4, 0, 3, 2, 0, 0, 0, 3, 4, 3, 2, 1, 0, 2, 0, 0, 4, 1, 2, 4, 2, 0, 1, 3, 0, 0, 2, 1, 4, 0, 4, 3, 0, 0, 1, 3, 0, 0, 1, 0, 3, 2, 0, 4, 3, 0, 3, 2, 0, 3, 4, 1, 2, 1, 4, 1, 1, 4, 4, 2, 0, 1, 4, 3, 3, 2, 0, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 2, 3, 4, 2, 4, 2, 2, 2, 3, 2, 3, 2, 2, 0, 2, 0, 3, 1, 0, 2, 4, 0, 1, 1, 1, 0, 1, 3, 3, 4, 4, 1, 4, 1, 4, 4, 0, 0, 3, 2, 4, 0, 3, 3, 0, 0, 1, 0, 0, 3, 4, 4, 3, 1, 2, 0, 3, 3, 2, 0, 1, 2, 3, 4, 0, 0, 1, 0, 4, 3, 2, 0, 3, 2, 4, 2, 2, 4, 3, 1, 3, 2, 4, 0, 2, 1, 4, 1, 3, 1, 3, 4, 0, 2, 3, 2, 2, 0, 0, 3, 1, 1, 3, 0, 3, 1, 1, 3, 0, 4, 2, 0, 1, 2, 4, 3, 0, 0, 4, 0, 1, 0, 2, 4, 1, 1, 0, 1, 3, 2, 2, 0, 2, 2, 2, 0, 3, 1, 1, 2, 2, 3, 1, 0, 0, 2, 4, 0, 0, 3, 4, 3, 1, 0, 2, 0, 1, 0, 2, 3, 4, 2, 0, 4, 1, 1, 4, 3, 4, 1, 2, 2, 0, 0, 0, 0, 4, 2, 1, 3, 0, 3, 3, 1, 0, 4, 4, 2, 3, 0, 0, 1, 1, 1, 1, 4, 2, 0, 1, 1, 4, 0, 2, 1, 0, 2, 3, 4, 0, 1, 4, 3, 3, 2, 3, 4, 2]
pubkeycol1313 = [3, 4, 4, 0, 3, 1, 2, 2, 3, 0, 0, 4, 4, 0, 2, 1, 4, 1, 0, 2, 3, 3, 4, 2, 0, 1, 3, 3, 1, 4, 4, 0, 1, 2, 2, 4, 4, 0, 2, 0, 3, 0, 0, 2, 0, 2, 4, 1, 0, 3, 3, 1, 1, 0, 3, 0, 1, 1, 2, 1, 0, 2, 0, 2, 3, 4, 3, 2, 1, 4, 0, 1, 1, 2, 2, 4, 1, 1, 3, 2, 3, 1, 1, 0, 0, 1, 1, 4, 4, 0, 2, 0, 4, 3, 3, 3, 0, 0, 2, 0, 1, 2, 1, 2, 0, 4, 0, 2, 1, 4, 0, 1, 4, 2, 4, 1, 0, 2, 3, 3, 1, 2, 2, 1, 3, 0, 0, 3, 3, 1, 2, 2, 1, 3, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 3, 0, 2, 1, 3, 4, 0, 2, 1, 2, 3, 2, 4, 1, 0, 4, 1, 0, 1, 3, 0, 3, 1, 2, 0, 4, 1, 2, 4, 4, 0, 1, 1, 1, 4, 1, 4, 4, 2, 3, 0, 4, 4, 1, 2, 4, 1, 3, 0, 3, 2, 3, 3, 2, 4, 1, 1, 0, 3, 2, 4, 2, 0, 3, 2, 0, 2, 3, 1, 3, 4, 1, 1, 4, 4, 0, 1, 1, 2, 2, 3, 3, 4, 2, 1, 1, 0, 2, 3, 3, 0, 1, 2, 2, 2, 1, 4, 3, 1, 4, 1, 3, 3, 1, 2, 2, 1, 0, 4, 2, 0, 1, 3, 1, 0, 2, 1, 1, 3, 1, 1, 3, 2, 3, 4, 2, 0, 4, 3, 2, 0, 4, 1, 3, 2, 2, 0, 1, 3, 0, 3, 3, 4, 0, 4, 3, 2, 2, 4, 0, 1, 2, 0, 1, 4, 0, 4, 1, 1, 4, 3, 2, 3, 3, 0, 2, 0, 3, 0, 0, 1, 3, 0, 4, 4, 4, 4, 3, 3, 1, 1, 4, 4, 3, 2, 1, 1, 4, 4, 4, 1, 2, 4, 3, 3, 1, 2, 1, 3, 3, 1, 2, 0, 3, 2, 2, 4, 2, 4, 2, 1, 4, 1, 0, 0, 4, 1, 3, 0, 0, 0, 4, 2, 1, 0, 1, 1, 1, 1, 3, 2, 0, 4, 4, 4, 2, 4, 1, 4, 3, 4, 1, 4, 2, 2, 1, 3, 0, 4, 0, 4, 4, 1, 1, 0, 1]
pubkeycol1314 = [0, 1, 3, 0, 4, 3, 2, 2, 4, 3, 2, 0, 3, 4, 4, 0, 3, 0, 0, 0, 1, 0, 3, 1, 0, 2, 3, 2, 1, 2, 3, 4, 4, 4, 0, 0, 2, 4, 2, 1, 4, 2, 0, 4, 3, 1, 2, 3, 3, 1, 1, 1, 1, 3, 2, 4, 2, 1, 4, 3, 0, 1, 3, 0, 1, 4, 4, 0, 2, 4, 2, 1, 1, 0, 4, 3, 1, 0, 4, 0, 2, 1, 3, 2, 4, 1, 1, 1, 0, 0, 2, 3, 4, 4, 1, 0, 1, 3, 2, 2, 0, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 4, 2, 2, 3, 1, 2, 1, 2, 2, 4, 2, 2, 2, 4, 3, 2, 3, 0, 0, 1, 3, 0, 3, 0, 1, 3, 3, 0, 1, 2, 0, 1, 0, 0, 1, 3, 2, 2, 4, 0, 2, 3, 2, 3, 3, 0, 4, 0, 3, 1, 0, 4, 3, 4, 4, 3, 2, 1, 3, 3, 1, 1, 2, 4, 3, 2, 2, 0, 2, 2, 0, 0, 3, 1, 4, 1, 2, 2, 4, 2, 3, 2, 4, 3, 1, 4, 0, 1, 0, 1, 2, 1, 0, 0, 1, 4, 3, 1, 4, 1, 2, 0, 3, 1, 4, 0, 3, 3, 2, 3, 3, 0, 2, 1, 1, 4, 4, 1, 4, 0, 2, 2, 3, 2, 4, 1, 3, 1, 3, 3, 1, 4, 2, 1, 0, 2, 3, 3, 2, 1, 4, 4, 1, 3, 2, 4, 4, 1, 0, 3, 3, 3, 4, 2, 0, 4, 1, 4, 2, 1, 2, 3, 4, 2, 4, 2, 3, 3, 0, 4, 3, 4, 1, 2, 2, 3, 2, 1, 3, 3, 3, 4, 2, 2, 2, 1, 3, 3, 2, 2, 1, 2, 2, 0, 4, 4, 4, 0, 2, 2, 0, 0, 3, 1, 1, 4, 1, 3, 4, 4, 2, 3, 1, 4, 2, 4, 0, 2, 3, 4, 3, 3, 2, 4, 1, 1, 1, 4, 1, 3, 4, 0, 4, 4, 1, 3, 1, 1, 1, 2, 3, 0, 0, 4, 0, 3, 2, 2, 1, 3, 3, 1, 1, 2, 4, 4, 4, 4, 4, 3, 3, 1, 1, 2, 3, 2, 0, 0, 3, 4, 1, 2, 0, 0, 3, 4, 2, 1, 4, 0, 2, 3, 3, 1, 2, 4, 1, 2, 3]
pubkeycol1315 = [4, 1, 0, 2, 3, 0, 0, 2, 3, 3, 1, 4, 0, 0, 1, 3, 0, 0, 4, 2, 2, 4, 3, 3, 4, 2, 0, 0, 0, 4, 1, 4, 0, 1, 4, 2, 1, 1, 4, 3, 2, 3, 2, 4, 3, 4, 2, 4, 1, 2, 3, 2, 3, 0, 0, 0, 4, 1, 4, 3, 1, 3, 4, 0, 2, 3, 2, 3, 1, 3, 3, 3, 3, 3, 1, 4, 2, 4, 0, 4, 4, 4, 3, 0, 4, 2, 4, 1, 2, 1, 2, 1, 0, 2, 4, 4, 4, 3, 3, 2, 2, 0, 1, 0, 3, 0, 2, 4, 3, 0, 4, 0, 0, 3, 2, 0, 3, 3, 3, 4, 3, 3, 0, 4, 1, 4, 3, 4, 4, 1, 3, 0, 0, 4, 1, 2, 1, 3, 1, 4, 4, 2, 4, 1, 3, 1, 0, 0, 4, 1, 4, 1, 0, 2, 2, 1, 3, 2, 3, 4, 2, 2, 1, 0, 1, 2, 1, 3, 4, 2, 4, 1, 1, 3, 0, 0, 3, 1, 3, 0, 0, 0, 2, 1, 4, 0, 1, 2, 0, 2, 4, 3, 4, 2, 2, 3, 1, 1, 0, 0, 1, 2, 3, 3, 1, 3, 4, 2, 4, 0, 3, 4, 3, 1, 1, 3, 4, 0, 0, 2, 4, 3, 3, 1, 4, 1, 0, 4, 3, 4, 2, 1, 1, 3, 0, 1, 3, 1, 1, 4, 1, 0, 0, 0, 4, 4, 3, 3, 4, 1, 4, 4, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 3, 0, 2, 2, 0, 0, 4, 3, 0, 2, 3, 4, 1, 1, 3, 2, 2, 4, 1, 3, 3, 0, 1, 3, 1, 2, 3, 0, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 0, 1, 0, 3, 1, 3, 1, 1, 3, 3, 3, 2, 1, 3, 4, 1, 2, 3, 0, 2, 1, 3, 1, 2, 2, 3, 2, 4, 1, 1, 1, 4, 0, 3, 2, 3, 0, 4, 2, 4, 3, 0, 1, 2, 2, 3, 4, 2, 0, 2, 2, 3, 1, 4, 1, 0, 0, 4, 0, 2, 2, 4, 0, 0, 4, 3, 0, 3, 2, 2, 1, 0, 0, 4, 4, 2, 1, 3, 2, 0, 1, 0, 1, 1, 1, 4, 1, 2, 0, 2, 1, 1, 1, 4, 3, 3, 2, 3]
pubkeycol1316 = [3, 0, 3, 3, 1, 2, 3, 2, 2, 4, 1, 4, 4, 1, 3, 0, 2, 4, 2, 3, 3, 0, 4, 3, 3, 2, 1, 4, 0, 0, 2, 3, 3, 2, 2, 3, 1, 0, 2, 1, 2, 3, 1, 0, 3, 0, 4, 2, 4, 2, 3, 2, 0, 2, 2, 2, 0, 2, 4, 3, 3, 2, 1, 2, 4, 1, 0, 1, 0, 3, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 4, 0, 4, 3, 0, 4, 4, 3, 4, 0, 1, 4, 0, 0, 2, 2, 4, 2, 2, 1, 3, 4, 3, 0, 1, 1, 1, 2, 2, 0, 2, 2, 4, 3, 0, 2, 4, 4, 0, 2, 3, 1, 0, 2, 0, 4, 2, 4, 3, 4, 0, 1, 0, 0, 2, 2, 2, 3, 0, 3, 4, 3, 3, 1, 3, 1, 2, 4, 0, 3, 2, 4, 4, 4, 4, 0, 1, 1, 3, 4, 3, 1, 3, 0, 4, 2, 4, 4, 2, 3, 3, 3, 0, 3, 2, 3, 3, 3, 4, 4, 1, 3, 0, 3, 2, 4, 4, 3, 0, 2, 3, 1, 3, 0, 2, 2, 2, 4, 4, 1, 2, 1, 2, 0, 4, 3, 2, 1, 4, 0, 1, 3, 2, 4, 4, 1, 4, 4, 3, 4, 3, 4, 3, 0, 2, 0, 0, 3, 4, 1, 2, 2, 1, 3, 4, 2, 3, 4, 0, 0, 4, 1, 1, 4, 2, 4, 0, 3, 2, 2, 0, 4, 3, 1, 1, 0, 0, 4, 0, 2, 1, 1, 1, 0, 2, 4, 0, 0, 1, 0, 2, 2, 0, 4, 0, 3, 4, 1, 2, 3, 3, 0, 2, 1, 1, 2, 4, 2, 4, 1, 1, 4, 3, 2, 1, 0, 3, 4, 3, 4, 3, 2, 1, 4, 1, 1, 4, 3, 1, 0, 3, 4, 1, 1, 1, 4, 1, 4, 2, 0, 2, 1, 1, 2, 3, 0, 1, 4, 3, 4, 4, 2, 1, 1, 1, 4, 4, 3, 4, 0, 0, 1, 3, 0, 2, 3, 2, 3, 2, 1, 2, 3, 3, 0, 2, 4, 3, 2, 2, 0, 3, 2, 4, 0, 1, 1, 3, 4, 1, 0, 4, 1, 4, 0, 2, 4, 0, 0, 0, 2, 2, 4, 2, 4, 3, 1, 4, 1, 2, 2, 4, 4, 3, 0, 2, 2, 3, 1, 0, 4]
pubkeycol1317 = [0, 1, 3, 1, 2, 1, 1, 2, 4, 2, 2, 0, 2, 2, 0, 3, 0, 0, 1, 2, 1, 2, 2, 4, 1, 2, 0, 4, 2, 1, 1, 3, 0, 1, 3, 4, 2, 2, 2, 4, 2, 3, 0, 1, 1, 4, 3, 3, 4, 1, 0, 4, 4, 3, 0, 3, 3, 4, 4, 4, 4, 0, 2, 2, 3, 2, 3, 2, 2, 0, 3, 2, 4, 0, 1, 4, 0, 2, 0, 0, 0, 4, 4, 0, 1, 1, 3, 3, 3, 1, 0, 3, 0, 2, 1, 3, 4, 2, 3, 1, 0, 1, 0, 0, 2, 4, 2, 1, 2, 2, 2, 3, 2, 2, 0, 1, 3, 2, 4, 0, 2, 1, 3, 0, 4, 4, 4, 2, 0, 2, 0, 2, 3, 2, 0, 2, 2, 1, 3, 4, 4, 1, 0, 4, 2, 4, 2, 0, 2, 1, 0, 2, 2, 4, 0, 2, 1, 3, 0, 4, 1, 4, 3, 0, 3, 2, 2, 1, 4, 3, 1, 1, 4, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 4, 3, 0, 3, 3, 0, 0, 1, 2, 3, 1, 0, 2, 2, 2, 0, 4, 4, 4, 1, 2, 0, 2, 3, 1, 0, 3, 3, 2, 0, 1, 1, 0, 1, 3, 1, 3, 1, 1, 0, 4, 4, 3, 1, 3, 0, 4, 2, 1, 3, 0, 2, 1, 0, 3, 1, 0, 2, 3, 4, 3, 3, 1, 3, 0, 2, 4, 0, 3, 1, 2, 0, 3, 2, 0, 4, 1, 0, 0, 2, 0, 4, 1, 2, 1, 2, 1, 1, 4, 4, 4, 0, 4, 1, 2, 2, 0, 2, 1, 3, 3, 1, 2, 3, 2, 0, 4, 2, 2, 4, 4, 2, 4, 2, 4, 1, 4, 4, 2, 2, 2, 4, 0, 2, 3, 3, 0, 3, 4, 2, 4, 0, 2, 1, 1, 2, 4, 1, 2, 3, 3, 1, 4, 1, 1, 1, 2, 3, 2, 3, 3, 0, 2, 1, 4, 1, 2, 2, 0, 3, 1, 3, 4, 0, 4, 1, 4, 4, 1, 4, 3, 1, 0, 0, 4, 4, 4, 4, 1, 3, 3, 2, 0, 2, 1, 3, 1, 4, 0, 0, 0, 2, 0, 3, 0, 1, 3, 4, 1, 3, 2, 2, 3, 0, 0, 4, 2, 1, 0, 0, 2, 4, 4, 2, 3, 3, 3]
pubkeycol1318 = [2, 2, 3, 0, 4, 4, 4, 0, 2, 2, 1, 0, 3, 3, 4, 3, 1, 2, 4, 4, 0, 4, 1, 4, 3, 4, 1, 0, 4, 3, 2, 3, 4, 3, 1, 2, 1, 3, 2, 1, 4, 1, 4, 4, 3, 0, 2, 3, 0, 4, 2, 1, 2, 0, 0, 3, 0, 2, 3, 1, 1, 4, 3, 1, 3, 3, 1, 1, 4, 3, 3, 2, 0, 4, 1, 1, 2, 3, 2, 1, 1, 0, 0, 4, 1, 2, 0, 2, 3, 1, 0, 4, 4, 1, 3, 1, 4, 2, 0, 1, 2, 4, 4, 0, 4, 4, 2, 4, 0, 2, 1, 2, 0, 3, 0, 2, 0, 0, 2, 0, 3, 0, 1, 2, 1, 1, 1, 4, 1, 4, 3, 3, 2, 1, 1, 0, 4, 3, 0, 3, 3, 3, 4, 2, 0, 0, 3, 3, 2, 3, 1, 0, 1, 2, 0, 4, 3, 4, 0, 3, 2, 4, 1, 2, 4, 1, 3, 0, 3, 1, 3, 1, 1, 0, 2, 3, 4, 1, 3, 2, 0, 2, 2, 0, 3, 3, 3, 1, 2, 4, 2, 1, 4, 3, 4, 2, 0, 4, 0, 3, 3, 4, 3, 4, 2, 4, 1, 3, 4, 3, 1, 0, 3, 4, 3, 3, 2, 4, 3, 0, 1, 2, 4, 1, 2, 3, 4, 2, 2, 2, 1, 3, 1, 0, 1, 1, 3, 4, 1, 0, 1, 1, 0, 0, 1, 2, 0, 3, 4, 0, 3, 4, 4, 4, 0, 2, 0, 4, 3, 0, 3, 0, 2, 3, 2, 3, 4, 4, 0, 1, 4, 2, 2, 2, 3, 1, 1, 1, 4, 2, 1, 4, 4, 1, 3, 0, 4, 2, 1, 3, 2, 0, 0, 3, 4, 2, 1, 4, 0, 4, 3, 2, 4, 0, 4, 2, 4, 4, 1, 3, 2, 1, 0, 1, 4, 1, 4, 4, 1, 3, 1, 3, 1, 4, 0, 0, 2, 0, 0, 1, 3, 3, 2, 3, 4, 4, 0, 0, 1, 3, 2, 3, 0, 4, 4, 4, 4, 3, 3, 3, 2, 4, 3, 0, 1, 4, 3, 4, 0, 1, 3, 2, 1, 1, 4, 3, 1, 4, 2, 0, 2, 4, 4, 0, 1, 4, 4, 3, 1, 1, 2, 1, 2, 1, 0, 1, 4, 4, 4, 2, 4, 4, 3, 2, 0, 3, 3, 4, 1, 1]
pubkeycol1319 = [2, 0, 4, 4, 0, 2, 1, 0, 2, 4, 2, 1, 4, 0, 3, 2, 0, 0, 2, 4, 3, 3, 0, 3, 0, 1, 3, 0, 3, 0, 3, 0, 0, 4, 1, 4, 3, 1, 0, 4, 2, 1, 3, 0, 4, 2, 0, 3, 1, 1, 4, 3, 2, 4, 3, 3, 3, 1, 4, 2, 3, 2, 2, 4, 2, 2, 4, 1, 4, 4, 4, 3, 3, 0, 1, 0, 4, 0, 1, 1, 0, 0, 1, 2, 0, 4, 4, 4, 3, 0, 0, 3, 3, 3, 0, 3, 2, 1, 0, 2, 0, 3, 2, 0, 4, 4, 1, 0, 2, 0, 2, 0, 3, 1, 4, 4, 1, 3, 4, 1, 3, 1, 0, 0, 4, 2, 2, 4, 1, 1, 3, 4, 1, 0, 4, 4, 3, 0, 2, 3, 0, 2, 0, 0, 2, 2, 4, 4, 2, 4, 4, 4, 2, 2, 4, 4, 1, 4, 3, 1, 4, 3, 2, 2, 2, 1, 3, 2, 4, 2, 3, 4, 4, 0, 3, 3, 2, 3, 3, 0, 1, 4, 4, 1, 3, 4, 4, 3, 4, 0, 3, 3, 0, 0, 1, 4, 2, 3, 1, 2, 3, 4, 3, 0, 1, 0, 4, 3, 2, 3, 0, 4, 2, 2, 0, 0, 1, 2, 4, 2, 4, 4, 2, 2, 1, 4, 0, 0, 1, 3, 3, 3, 2, 2, 3, 4, 4, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 4, 3, 0, 0, 4, 0, 4, 3, 0, 2, 0, 4, 2, 2, 3, 4, 2, 4, 4, 3, 3, 2, 4, 2, 3, 1, 4, 0, 4, 2, 1, 2, 1, 3, 2, 3, 3, 1, 1, 2, 0, 2, 0, 2, 3, 0, 2, 3, 2, 1, 3, 2, 0, 3, 2, 2, 1, 1, 1, 1, 2, 1, 4, 0, 2, 2, 2, 4, 3, 1, 3, 1, 4, 1, 4, 2, 3, 1, 2, 0, 3, 3, 2, 2, 0, 3, 2, 0, 3, 0, 4, 4, 2, 0, 1, 4, 4, 4, 0, 4, 1, 2, 1, 3, 4, 3, 3, 4, 0, 0, 1, 1, 2, 2, 1, 1, 4, 1, 3, 4, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 3, 0, 3, 0, 4, 0, 0, 1, 3, 0, 0, 3, 2, 1, 4, 2, 2, 1, 2, 2, 4, 0]
pubkeycol1320 = [4, 3, 0, 3, 4, 2, 2, 0, 3, 0, 1, 0, 3, 0, 3, 1, 0, 2, 4, 4, 2, 2, 2, 4, 4, 0, 4, 2, 2, 4, 0, 1, 0, 4, 1, 2, 2, 0, 0, 1, 3, 1, 3, 3, 3, 3, 3, 4, 2, 0, 0, 4, 4, 2, 3, 3, 4, 1, 2, 0, 3, 1, 4, 0, 2, 2, 2, 1, 4, 0, 0, 1, 0, 1, 0, 2, 3, 0, 0, 4, 4, 0, 0, 3, 2, 2, 3, 0, 0, 3, 0, 1, 1, 4, 0, 3, 2, 4, 1, 3, 4, 3, 1, 3, 3, 2, 3, 3, 2, 1, 4, 1, 0, 0, 4, 3, 2, 4, 2, 1, 2, 2, 0, 3, 3, 2, 3, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 4, 1, 0, 4, 1, 0, 3, 4, 1, 2, 2, 0, 4, 4, 4, 3, 3, 4, 3, 3, 1, 1, 2, 0, 2, 1, 3, 2, 1, 4, 2, 2, 4, 0, 0, 2, 2, 2, 1, 4, 0, 4, 2, 1, 1, 0, 4, 2, 3, 0, 0, 1, 3, 2, 4, 2, 2, 0, 4, 1, 4, 1, 3, 4, 3, 1, 2, 2, 2, 1, 1, 3, 2, 0, 4, 1, 3, 0, 3, 1, 0, 0, 4, 3, 0, 3, 1, 2, 1, 2, 0, 3, 2, 3, 0, 2, 1, 3, 4, 1, 4, 0, 3, 2, 0, 1, 0, 3, 0, 2, 3, 1, 3, 3, 1, 1, 4, 0, 0, 3, 4, 1, 4, 2, 1, 3, 2, 4, 3, 2, 1, 2, 0, 0, 2, 4, 4, 2, 3, 2, 1, 3, 1, 2, 3, 4, 3, 4, 1, 0, 2, 0, 0, 1, 4, 4, 4, 1, 3, 0, 4, 0, 2, 0, 4, 4, 1, 2, 4, 1, 3, 4, 2, 2, 2, 2, 4, 1, 0, 1, 2, 1, 0, 3, 4, 3, 1, 4, 1, 3, 3, 3, 3, 4, 3, 3, 0, 3, 3, 2, 3, 1, 2, 1, 3, 2, 4, 0, 1, 2, 0, 3, 3, 4, 1, 2, 0, 0, 2, 3, 4, 1, 4, 4, 2, 1, 3, 1, 2, 4, 3, 1, 2, 4, 0, 4, 2, 4, 3, 0, 4, 3, 1, 4, 1, 1, 3, 3, 3, 2, 4, 3, 0, 1, 1, 2, 2, 0, 2, 1, 0, 4, 1]
pubkeycol1321 = [0, 1, 4, 0, 0, 2, 2, 3, 1, 2, 0, 1, 3, 2, 3, 1, 2, 4, 1, 2, 1, 0, 3, 4, 0, 4, 0, 2, 3, 3, 4, 3, 2, 2, 1, 4, 3, 0, 2, 4, 0, 2, 3, 1, 2, 3, 2, 0, 2, 2, 1, 4, 4, 4, 3, 1, 2, 0, 4, 2, 4, 3, 0, 3, 4, 0, 3, 4, 0, 3, 2, 1, 4, 4, 1, 1, 2, 0, 1, 2, 3, 4, 0, 0, 3, 0, 0, 4, 0, 0, 4, 1, 2, 0, 4, 4, 3, 4, 1, 1, 3, 0, 0, 3, 1, 3, 2, 4, 2, 4, 2, 1, 2, 0, 1, 2, 3, 3, 4, 4, 1, 3, 4, 0, 3, 1, 1, 1, 4, 4, 1, 1, 3, 3, 4, 3, 2, 4, 2, 4, 2, 3, 0, 1, 0, 4, 1, 1, 2, 3, 3, 2, 3, 2, 0, 0, 1, 2, 1, 0, 4, 2, 0, 0, 0, 3, 3, 0, 0, 2, 4, 1, 2, 0, 2, 0, 1, 2, 2, 4, 2, 3, 0, 3, 2, 1, 1, 1, 0, 0, 3, 3, 2, 1, 2, 2, 3, 1, 2, 1, 4, 0, 1, 0, 1, 1, 0, 0, 4, 2, 3, 0, 0, 4, 4, 1, 4, 2, 4, 2, 3, 4, 0, 2, 4, 1, 3, 0, 1, 3, 0, 1, 4, 0, 2, 1, 3, 4, 0, 3, 4, 4, 3, 4, 1, 3, 2, 2, 1, 1, 4, 0, 4, 3, 1, 0, 3, 1, 4, 0, 1, 2, 0, 4, 3, 2, 2, 1, 3, 2, 2, 3, 4, 3, 2, 2, 1, 3, 3, 4, 2, 2, 1, 3, 1, 1, 1, 2, 4, 1, 1, 3, 2, 3, 1, 2, 1, 3, 0, 2, 1, 0, 1, 1, 3, 0, 0, 4, 0, 1, 3, 4, 4, 0, 4, 4, 1, 2, 0, 1, 3, 1, 0, 4, 4, 0, 4, 2, 0, 0, 2, 1, 3, 1, 4, 2, 3, 2, 1, 1, 4, 3, 4, 0, 4, 0, 2, 2, 4, 3, 3, 2, 4, 2, 1, 1, 3, 4, 4, 0, 0, 2, 1, 4, 1, 1, 2, 4, 1, 2, 3, 0, 2, 3, 4, 2, 4, 3, 0, 2, 3, 0, 3, 1, 4, 1, 2, 0, 4, 1, 1, 2, 4, 2, 1, 4, 1, 4, 2, 2]
pubkeycol1322 = [1, 1, 4, 4, 1, 2, 4, 2, 2, 0, 0, 2, 3, 0, 3, 3, 0, 4, 0, 2, 2, 2, 3, 0, 1, 0, 4, 1, 1, 3, 1, 0, 0, 4, 0, 4, 1, 2, 2, 0, 4, 0, 4, 4, 1, 4, 4, 4, 0, 3, 2, 4, 2, 3, 0, 1, 2, 1, 0, 3, 2, 1, 4, 0, 3, 0, 2, 2, 1, 0, 3, 0, 4, 3, 4, 2, 1, 0, 1, 1, 0, 4, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 4, 4, 1, 4, 0, 3, 0, 4, 0, 4, 3, 0, 4, 1, 0, 3, 0, 0, 4, 0, 3, 1, 4, 0, 3, 3, 4, 0, 4, 4, 1, 2, 2, 1, 3, 4, 4, 1, 1, 3, 1, 2, 0, 4, 1, 2, 1, 4, 2, 1, 2, 4, 3, 1, 2, 2, 4, 2, 4, 4, 3, 0, 2, 3, 4, 1, 0, 0, 0, 2, 0, 1, 3, 0, 1, 4, 0, 2, 0, 1, 0, 2, 2, 0, 3, 1, 4, 1, 3, 2, 2, 0, 3, 0, 2, 1, 4, 0, 2, 4, 0, 3, 2, 1, 0, 2, 3, 0, 0, 2, 0, 0, 0, 4, 4, 3, 1, 3, 1, 1, 4, 0, 4, 3, 4, 4, 1, 1, 2, 0, 2, 2, 3, 4, 4, 3, 1, 3, 1, 1, 1, 4, 0, 2, 4, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 4, 1, 1, 2, 2, 2, 0, 4, 4, 0, 3, 2, 3, 0, 4, 1, 1, 2, 2, 2, 1, 4, 2, 1, 1, 1, 3, 0, 0, 2, 3, 3, 3, 2, 4, 4, 4, 4, 2, 1, 3, 4, 1, 1, 3, 0, 1, 0, 3, 1, 2, 2, 3, 1, 3, 4, 1, 3, 1, 3, 4, 4, 2, 0, 4, 4, 4, 1, 0, 0, 1, 2, 3, 4, 0, 4, 1, 3, 1, 1, 4, 2, 3, 4, 2, 2, 3, 4, 1, 1, 4, 1, 0, 3, 2, 2, 1, 3, 4, 4, 1, 1, 3, 3, 1, 2, 0, 0, 3, 0, 4, 0, 0, 2, 4, 1, 4, 2, 4, 3, 0, 1, 0, 2, 1, 1, 4, 3, 1, 0, 3, 3, 0, 4, 2, 0, 0, 3, 4, 2, 1, 1, 2, 4, 1, 3, 3, 4, 1]
pubkeycol1323 = [0, 1, 2, 1, 4, 0, 1, 4, 2, 4, 2, 2, 1, 1, 3, 3, 4, 0, 1, 3, 1, 4, 1, 4, 3, 0, 0, 2, 0, 1, 0, 3, 4, 1, 1, 4, 3, 1, 0, 1, 2, 4, 4, 3, 3, 4, 1, 3, 4, 4, 4, 3, 2, 3, 3, 3, 0, 3, 3, 1, 3, 1, 0, 3, 2, 1, 0, 3, 4, 4, 1, 1, 4, 2, 0, 1, 1, 0, 2, 0, 0, 3, 3, 4, 1, 0, 3, 4, 2, 2, 3, 1, 1, 4, 3, 3, 3, 1, 4, 1, 3, 1, 3, 2, 3, 4, 4, 2, 3, 3, 4, 1, 0, 0, 4, 2, 3, 2, 0, 3, 3, 0, 0, 1, 0, 3, 3, 4, 3, 0, 2, 0, 2, 0, 0, 1, 3, 2, 2, 0, 3, 2, 3, 0, 4, 3, 1, 0, 2, 3, 4, 2, 0, 4, 0, 3, 0, 0, 3, 1, 3, 4, 2, 3, 4, 3, 3, 0, 2, 1, 3, 1, 1, 0, 4, 4, 1, 4, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 2, 1, 3, 2, 0, 1, 4, 4, 4, 4, 3, 2, 0, 2, 3, 4, 2, 3, 1, 4, 3, 2, 3, 2, 0, 3, 2, 1, 1, 2, 0, 2, 1, 3, 2, 0, 1, 2, 1, 0, 4, 0, 3, 4, 4, 4, 0, 4, 4, 2, 1, 1, 3, 0, 3, 3, 3, 2, 0, 2, 4, 3, 0, 0, 2, 0, 4, 1, 0, 0, 1, 0, 3, 2, 2, 1, 2, 3, 4, 4, 0, 0, 2, 1, 1, 3, 4, 3, 4, 2, 4, 0, 1, 1, 2, 4, 4, 3, 1, 2, 3, 4, 4, 4, 1, 0, 4, 2, 4, 1, 2, 4, 0, 1, 3, 3, 2, 0, 1, 4, 0, 4, 0, 4, 3, 4, 3, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 3, 2, 1, 4, 1, 1, 2, 3, 0, 4, 4, 1, 3, 3, 4, 1, 4, 0, 1, 0, 1, 4, 0, 4, 0, 4, 4, 4, 0, 3, 0, 2, 2, 4, 3, 1, 4, 0, 3, 1, 4, 1, 1, 3, 3, 0, 3, 4, 1, 4, 3, 3, 2, 1, 1, 4, 4, 4, 1, 3, 4, 4, 3, 2, 4, 0, 4, 2, 3, 2]
pubkeycol1324 = [0, 0, 1, 4, 3, 2, 4, 2, 2, 2, 2, 1, 0, 4, 4, 4, 4, 2, 2, 3, 1, 0, 4, 0, 4, 2, 1, 0, 2, 2, 3, 0, 2, 2, 4, 2, 2, 3, 0, 4, 4, 4, 2, 2, 3, 4, 1, 4, 1, 4, 4, 1, 4, 3, 2, 2, 4, 0, 1, 1, 2, 0, 1, 4, 1, 1, 4, 1, 3, 0, 1, 4, 3, 1, 4, 0, 2, 2, 3, 3, 3, 0, 3, 0, 2, 1, 0, 0, 2, 0, 4, 4, 4, 4, 3, 2, 2, 1, 1, 3, 4, 0, 1, 0, 0, 3, 3, 3, 1, 1, 0, 2, 3, 1, 2, 2, 0, 3, 0, 2, 4, 0, 4, 4, 1, 4, 0, 2, 0, 1, 0, 0, 4, 3, 3, 0, 1, 1, 2, 2, 4, 1, 0, 3, 4, 0, 2, 0, 0, 2, 3, 3, 1, 3, 4, 2, 2, 1, 0, 1, 2, 3, 1, 4, 2, 0, 2, 3, 2, 1, 1, 2, 4, 0, 2, 0, 0, 4, 1, 1, 3, 4, 1, 0, 0, 4, 4, 1, 3, 0, 3, 2, 0, 1, 4, 3, 2, 2, 3, 4, 4, 4, 3, 3, 4, 2, 2, 2, 2, 0, 2, 0, 4, 2, 3, 1, 1, 4, 3, 1, 1, 0, 4, 1, 1, 4, 0, 0, 1, 1, 2, 4, 4, 1, 0, 2, 4, 4, 4, 2, 4, 2, 4, 4, 1, 0, 4, 4, 3, 4, 0, 4, 2, 2, 2, 0, 4, 0, 2, 4, 4, 4, 2, 1, 1, 0, 0, 0, 3, 0, 1, 2, 3, 3, 2, 2, 1, 3, 2, 4, 3, 0, 3, 2, 4, 0, 1, 0, 2, 1, 2, 0, 2, 0, 4, 0, 4, 0, 1, 2, 2, 3, 4, 2, 0, 0, 2, 3, 4, 0, 0, 3, 0, 0, 0, 3, 2, 2, 3, 1, 4, 3, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 3, 0, 0, 1, 1, 4, 4, 2, 3, 0, 0, 0, 2, 3, 3, 4, 1, 3, 3, 3, 1, 0, 3, 1, 0, 0, 2, 2, 1, 3, 1, 0, 0, 0, 0, 1, 3, 0, 0, 4, 4, 4, 0, 2, 1, 0, 1, 1, 3, 1, 0, 2, 2, 2, 1, 4, 1, 2, 0, 3, 0, 1, 1, 3, 1, 1]
pubkeycol1325 = [4, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 3, 4, 0, 4, 2, 2, 3, 3, 1, 1, 4, 1, 1, 4, 4, 3, 3, 4, 3, 4, 2, 1, 1, 3, 1, 2, 0, 2, 3, 4, 2, 1, 4, 2, 3, 2, 2, 0, 1, 4, 0, 3, 0, 0, 4, 0, 2, 0, 3, 3, 0, 0, 0, 3, 1, 0, 2, 4, 4, 1, 3, 3, 3, 1, 0, 3, 4, 1, 1, 2, 3, 3, 1, 4, 2, 4, 0, 3, 2, 1, 2, 4, 0, 3, 2, 1, 0, 2, 4, 2, 0, 4, 3, 4, 0, 4, 2, 3, 2, 0, 2, 2, 0, 3, 0, 3, 0, 2, 2, 0, 1, 2, 2, 4, 3, 3, 3, 1, 1, 3, 3, 3, 3, 2, 0, 3, 4, 4, 4, 3, 3, 1, 2, 3, 3, 1, 2, 4, 4, 1, 3, 3, 2, 1, 2, 1, 1, 2, 0, 4, 3, 0, 0, 1, 2, 3, 2, 2, 4, 0, 3, 3, 0, 0, 0, 0, 2, 0, 4, 3, 4, 2, 2, 4, 3, 3, 4, 4, 2, 4, 1, 1, 0, 4, 2, 4, 3, 2, 3, 0, 2, 0, 2, 2, 1, 1, 2, 4, 4, 4, 2, 2, 2, 0, 0, 1, 1, 2, 1, 3, 0, 4, 1, 3, 3, 3, 3, 2, 3, 2, 0, 2, 3, 1, 2, 3, 3, 0, 2, 1, 4, 1, 3, 2, 3, 4, 3, 3, 2, 0, 3, 4, 3, 1, 4, 0, 1, 4, 4, 1, 2, 4, 4, 4, 3, 3, 0, 3, 2, 1, 0, 0, 2, 3, 2, 0, 0, 0, 1, 4, 1, 4, 0, 3, 4, 0, 4, 2, 0, 1, 1, 0, 4, 1, 2, 3, 4, 3, 0, 1, 2, 1, 0, 2, 0, 1, 4, 2, 2, 1, 2, 3, 1, 1, 1, 4, 0, 4, 1, 2, 3, 1, 2, 0, 2, 3, 0, 3, 0, 4, 4, 4, 0, 3, 2, 3, 2, 1, 3, 0, 3, 0, 1, 4, 3, 1, 0, 1, 3, 4, 1, 3, 4, 2, 1, 4, 4, 3, 3, 1, 1, 2, 0, 4, 2, 0, 4, 4, 0, 3, 2, 3, 4, 0, 4, 0, 1, 4, 2, 3, 4, 1, 2, 0, 2, 4, 2, 4, 3, 4, 0, 2, 3, 4, 3, 2, 4, 2]
pubkeycol1326 = [1, 4, 3, 2, 3, 2, 0, 4, 4, 2, 2, 2, 0, 2, 1, 3, 0, 3, 1, 4, 0, 0, 2, 2, 0, 2, 0, 2, 3, 3, 0, 2, 0, 4, 0, 1, 2, 3, 3, 3, 2, 3, 3, 4, 3, 1, 1, 1, 3, 0, 0, 0, 2, 3, 3, 1, 3, 2, 1, 3, 2, 1, 1, 0, 0, 4, 0, 0, 0, 4, 4, 2, 1, 2, 2, 0, 3, 4, 0, 4, 1, 4, 3, 0, 1, 2, 1, 2, 4, 0, 2, 4, 1, 4, 3, 3, 4, 4, 4, 0, 3, 0, 1, 1, 3, 4, 0, 4, 0, 2, 1, 1, 1, 2, 1, 1, 3, 1, 4, 0, 0, 1, 1, 2, 1, 3, 3, 4, 3, 4, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 3, 4, 3, 0, 3, 0, 3, 0, 3, 4, 0, 4, 1, 1, 4, 1, 0, 1, 3, 2, 0, 4, 2, 2, 3, 0, 3, 2, 1, 4, 0, 0, 4, 2, 2, 3, 2, 1, 1, 2, 1, 3, 0, 1, 4, 2, 4, 2, 2, 0, 1, 4, 0, 2, 1, 4, 3, 1, 4, 3, 3, 0, 2, 2, 2, 4, 4, 4, 4, 3, 3, 0, 2, 0, 0, 2, 0, 2, 2, 4, 2, 0, 2, 4, 0, 3, 3, 4, 4, 2, 3, 1, 4, 3, 3, 4, 1, 2, 0, 4, 2, 4, 0, 4, 1, 3, 1, 4, 2, 1, 4, 0, 1, 2, 4, 2, 4, 2, 2, 1, 2, 3, 2, 1, 3, 4, 3, 1, 3, 4, 2, 4, 4, 2, 0, 1, 1, 1, 1, 3, 3, 4, 3, 1, 2, 3, 0, 1, 4, 0, 2, 3, 0, 4, 2, 4, 3, 4, 2, 0, 4, 1, 0, 4, 3, 1, 1, 3, 3, 1, 2, 0, 0, 1, 1, 0, 0, 1, 4, 3, 2, 2, 2, 4, 1, 1, 2, 4, 2, 1, 1, 0, 3, 3, 0, 3, 4, 0, 2, 1, 1, 0, 0, 1, 0, 4, 1, 1, 3, 2, 0, 4, 3, 2, 0, 2, 3, 2, 4, 3, 1, 3, 4, 3, 2, 3, 2, 1, 2, 0, 4, 1, 0, 1, 1, 2, 1, 4, 4, 1, 2, 2, 4, 3, 2, 3, 4, 3, 1, 1, 2, 1, 0, 3, 2]
pubkeycol1327 = [3, 4, 2, 3, 4, 4, 3, 4, 3, 0, 1, 4, 1, 2, 4, 4, 4, 4, 2, 1, 0, 3, 0, 0, 4, 0, 1, 0, 3, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 0, 1, 3, 4, 3, 4, 0, 2, 0, 0, 3, 2, 2, 1, 0, 1, 1, 3, 2, 4, 3, 3, 4, 0, 0, 3, 3, 3, 4, 3, 4, 2, 1, 0, 0, 0, 2, 1, 1, 0, 4, 2, 3, 1, 3, 3, 0, 2, 1, 3, 2, 3, 1, 1, 3, 4, 3, 4, 1, 2, 3, 4, 2, 1, 3, 3, 2, 3, 1, 0, 3, 2, 4, 0, 1, 4, 4, 4, 4, 0, 2, 1, 4, 3, 3, 0, 2, 2, 3, 2, 4, 4, 4, 1, 4, 3, 3, 3, 2, 1, 0, 4, 4, 3, 3, 0, 4, 0, 0, 1, 2, 4, 2, 1, 0, 4, 0, 0, 4, 4, 1, 0, 3, 0, 1, 0, 1, 4, 0, 4, 0, 1, 0, 3, 4, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 0, 2, 2, 3, 2, 3, 2, 1, 4, 3, 3, 2, 3, 4, 0, 2, 3, 0, 3, 4, 2, 3, 0, 4, 3, 0, 3, 0, 4, 1, 4, 0, 2, 2, 0, 3, 0, 4, 1, 1, 3, 4, 4, 1, 3, 1, 1, 4, 3, 1, 3, 0, 3, 0, 1, 4, 3, 4, 3, 3, 1, 3, 2, 3, 3, 4, 0, 0, 3, 1, 3, 0, 3, 0, 0, 0, 4, 4, 4, 1, 1, 2, 1, 0, 4, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 4, 2, 0, 4, 2, 2, 1, 4, 1, 3, 4, 3, 2, 3, 0, 4, 3, 3, 2, 2, 2, 1, 3, 2, 3, 3, 1, 4, 2, 4, 1, 2, 3, 2, 1, 2, 3, 3, 2, 0, 4, 0, 3, 4, 0, 3, 3, 0, 0, 0, 4, 3, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 4, 4, 1, 3, 3, 4, 3, 4, 1, 4, 1, 4, 1, 2, 0, 2, 2, 0, 0, 1, 1, 4, 2, 4, 2, 4, 0, 3, 1, 0, 3, 1, 2, 2, 4, 1, 3, 0, 1, 1, 1, 1, 3, 3, 4, 2, 3, 1, 2, 1, 1, 2, 0, 0, 1, 1, 3, 0]
pubkeycol1328 = [2, 3, 4, 0, 2, 0, 2, 2, 3, 4, 4, 1, 0, 0, 0, 2, 1, 1, 3, 3, 2, 4, 2, 3, 3, 4, 0, 3, 4, 1, 3, 0, 2, 1, 0, 3, 1, 4, 2, 3, 3, 2, 4, 1, 3, 2, 3, 4, 3, 1, 4, 0, 4, 3, 3, 3, 3, 2, 1, 4, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3, 1, 0, 0, 0, 0, 0, 2, 0, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 4, 1, 4, 1, 2, 0, 0, 3, 2, 3, 1, 1, 1, 4, 3, 2, 4, 4, 3, 4, 1, 4, 0, 0, 4, 3, 1, 2, 2, 2, 2, 1, 0, 2, 1, 4, 0, 4, 0, 4, 0, 2, 3, 1, 3, 4, 3, 4, 0, 3, 4, 4, 0, 3, 3, 1, 1, 4, 2, 2, 3, 3, 2, 0, 4, 0, 3, 3, 4, 0, 1, 3, 0, 1, 0, 1, 1, 4, 0, 3, 1, 2, 4, 3, 4, 4, 1, 1, 0, 0, 4, 4, 3, 4, 3, 4, 4, 3, 0, 1, 3, 3, 1, 4, 0, 0, 3, 0, 1, 0, 0, 1, 2, 4, 1, 3, 2, 3, 2, 1, 2, 4, 0, 1, 0, 4, 0, 2, 2, 4, 1, 2, 0, 1, 4, 0, 4, 4, 2, 3, 3, 4, 3, 0, 3, 2, 0, 4, 2, 2, 0, 2, 3, 4, 3, 2, 2, 3, 1, 1, 1, 0, 3, 0, 2, 2, 2, 0, 0, 4, 0, 2, 2, 2, 4, 4, 3, 1, 2, 4, 0, 1, 4, 4, 2, 4, 1, 3, 4, 3, 1, 0, 4, 2, 0, 0, 1, 2, 0, 1, 0, 3, 2, 1, 0, 0, 1, 1, 4, 2, 4, 1, 4, 1, 1, 4, 4, 4, 0, 2, 1, 3, 0, 4, 1, 1, 4, 3, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 4, 2, 3, 2, 0, 4, 0, 3, 4, 3, 2, 3, 2, 0, 4, 2, 2, 4, 2, 2, 4, 3, 0, 3, 1, 2, 4, 0, 1, 4, 3, 0, 0, 3, 4, 0, 4, 4, 4, 4, 4, 3, 3, 3, 2, 3, 4, 3, 1, 2, 2, 0, 2, 3, 2, 1, 0, 2, 3, 0, 2, 0, 2, 0, 2, 1, 1, 3, 0, 4, 0, 4]
pubkeycol1329 = [2, 2, 2, 0, 3, 0, 3, 2, 0, 3, 2, 0, 4, 1, 3, 4, 2, 1, 0, 2, 3, 3, 4, 2, 3, 4, 3, 1, 4, 4, 3, 2, 2, 4, 3, 4, 2, 3, 2, 1, 1, 3, 1, 1, 1, 3, 4, 2, 2, 3, 4, 0, 0, 3, 4, 0, 0, 4, 2, 2, 4, 2, 1, 2, 3, 0, 1, 1, 3, 1, 3, 1, 2, 2, 2, 2, 4, 0, 2, 4, 0, 4, 1, 0, 0, 4, 4, 4, 2, 0, 4, 3, 1, 3, 4, 4, 2, 1, 3, 0, 4, 0, 2, 3, 3, 2, 4, 0, 4, 3, 0, 2, 1, 4, 1, 2, 4, 2, 4, 4, 1, 3, 1, 2, 4, 4, 2, 3, 3, 4, 0, 4, 2, 1, 1, 0, 3, 2, 4, 1, 3, 4, 2, 0, 0, 3, 2, 4, 1, 3, 0, 2, 2, 4, 1, 2, 1, 0, 3, 2, 2, 3, 4, 4, 0, 4, 0, 3, 4, 0, 3, 1, 4, 0, 2, 2, 3, 1, 4, 2, 0, 0, 4, 3, 0, 4, 0, 0, 3, 1, 1, 3, 4, 4, 4, 2, 1, 4, 4, 0, 4, 0, 3, 0, 1, 1, 2, 4, 3, 2, 3, 3, 2, 3, 4, 4, 2, 4, 1, 4, 3, 4, 1, 3, 2, 3, 0, 1, 2, 1, 2, 2, 0, 2, 3, 2, 0, 2, 1, 0, 1, 2, 0, 3, 3, 4, 2, 1, 4, 1, 1, 4, 2, 0, 2, 4, 4, 4, 3, 4, 4, 3, 1, 4, 3, 0, 0, 0, 2, 2, 0, 0, 2, 3, 3, 3, 4, 3, 4, 0, 0, 2, 2, 4, 1, 1, 4, 3, 0, 4, 1, 0, 4, 2, 2, 0, 0, 3, 3, 4, 1, 0, 4, 2, 3, 1, 0, 3, 4, 1, 0, 0, 1, 2, 3, 4, 1, 2, 0, 2, 3, 0, 4, 3, 4, 3, 3, 0, 0, 4, 3, 1, 0, 2, 2, 1, 4, 1, 3, 3, 2, 0, 2, 4, 3, 1, 1, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 3, 4, 2, 4, 0, 4, 0, 2, 2, 0, 3, 0, 2, 1, 3, 4, 4, 4, 1, 2, 3, 1, 3, 0, 0, 3, 0, 3, 0, 4, 1, 0, 0, 4, 2, 0]
pubkeycol1330 = [2, 1, 1, 0, 0, 0, 2, 4, 4, 0, 2, 3, 1, 4, 3, 0, 3, 1, 4, 2, 1, 1, 4, 4, 0, 1, 1, 3, 0, 2, 3, 1, 0, 1, 4, 2, 1, 2, 1, 4, 3, 1, 3, 4, 3, 4, 2, 1, 2, 2, 4, 0, 4, 4, 0, 0, 1, 1, 3, 3, 2, 3, 4, 2, 2, 2, 4, 2, 3, 0, 3, 0, 4, 2, 2, 2, 1, 4, 4, 1, 2, 1, 1, 2, 3, 4, 1, 4, 0, 4, 1, 4, 0, 0, 1, 3, 2, 4, 1, 0, 0, 4, 0, 1, 0, 4, 1, 4, 0, 3, 3, 3, 1, 3, 2, 3, 1, 2, 0, 3, 0, 0, 1, 1, 2, 3, 4, 4, 1, 1, 1, 4, 4, 4, 1, 3, 3, 3, 3, 2, 1, 4, 2, 3, 3, 2, 0, 3, 4, 3, 3, 3, 1, 1, 0, 3, 0, 3, 0, 2, 1, 2, 3, 2, 3, 0, 1, 1, 2, 1, 3, 4, 3, 3, 3, 0, 4, 3, 0, 1, 3, 0, 3, 1, 2, 4, 4, 1, 1, 2, 2, 0, 3, 3, 2, 0, 0, 1, 3, 0, 3, 2, 3, 2, 1, 0, 3, 1, 0, 4, 3, 2, 3, 1, 0, 3, 0, 0, 1, 1, 4, 2, 2, 0, 0, 2, 2, 1, 3, 4, 2, 1, 4, 0, 1, 0, 3, 4, 4, 1, 2, 0, 1, 3, 3, 0, 0, 4, 4, 4, 3, 4, 4, 1, 2, 0, 4, 1, 0, 0, 0, 1, 0, 2, 1, 2, 3, 4, 1, 1, 0, 2, 3, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 1, 3, 3, 4, 4, 3, 0, 2, 2, 0, 3, 3, 3, 4, 1, 1, 3, 3, 1, 4, 4, 1, 3, 3, 0, 4, 0, 2, 1, 4, 3, 2, 1, 0, 2, 3, 2, 3, 4, 4, 4, 4, 0, 0, 4, 0, 0, 3, 1, 3, 3, 3, 2, 4, 3, 0, 1, 4, 3, 4, 3, 4, 3, 2, 4, 0, 1, 2, 2, 4, 4, 3, 3, 4, 4, 1, 0, 4, 1, 2, 1, 3, 1, 0, 3, 0, 1, 1, 2, 0, 2, 2, 3, 1, 0, 3, 3, 1, 4, 3, 0, 2, 4, 0, 3, 4, 3, 4, 2, 4, 1, 0, 1, 3, 4, 3]
pubkeycol1331 = [2, 0, 4, 2, 4, 4, 1, 1, 1, 1, 4, 3, 4, 3, 2, 3, 0, 0, 2, 3, 2, 4, 0, 2, 0, 1, 3, 2, 3, 4, 0, 1, 4, 2, 0, 3, 4, 1, 2, 4, 1, 1, 4, 4, 1, 4, 4, 4, 1, 2, 2, 1, 0, 2, 0, 4, 3, 1, 3, 4, 1, 0, 0, 0, 1, 4, 2, 3, 3, 2, 1, 0, 4, 3, 1, 1, 1, 4, 1, 4, 1, 4, 4, 0, 0, 4, 0, 0, 3, 4, 1, 0, 2, 0, 3, 1, 0, 4, 1, 1, 0, 0, 4, 0, 4, 3, 1, 1, 1, 4, 0, 1, 2, 0, 3, 1, 0, 4, 1, 4, 3, 1, 2, 3, 4, 4, 2, 4, 0, 2, 0, 2, 3, 4, 0, 1, 4, 1, 2, 4, 3, 1, 3, 1, 2, 3, 2, 2, 0, 3, 2, 4, 1, 3, 3, 3, 3, 2, 2, 1, 2, 2, 4, 3, 3, 1, 2, 1, 3, 3, 2, 3, 4, 4, 4, 0, 3, 4, 4, 3, 3, 2, 3, 0, 2, 3, 4, 1, 0, 2, 3, 4, 3, 4, 4, 0, 4, 1, 1, 4, 4, 2, 0, 0, 3, 2, 0, 2, 2, 1, 4, 2, 2, 4, 2, 4, 3, 1, 4, 2, 3, 2, 0, 4, 4, 4, 4, 0, 1, 3, 2, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 3, 0, 3, 2, 4, 0, 3, 4, 0, 0, 1, 1, 0, 3, 2, 1, 3, 1, 1, 2, 4, 3, 2, 1, 0, 2, 2, 2, 0, 4, 2, 1, 1, 2, 2, 4, 4, 2, 2, 2, 0, 4, 4, 2, 0, 2, 2, 1, 3, 1, 0, 1, 1, 2, 4, 4, 4, 4, 0, 1, 0, 4, 2, 0, 4, 3, 0, 0, 0, 0, 3, 1, 2, 4, 0, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 4, 2, 2, 4, 0, 3, 4, 0, 3, 1, 4, 4, 2, 1, 4, 3, 0, 3, 1, 1, 1, 0, 0, 2, 0, 0, 1, 4, 1, 0, 4, 0, 3, 0, 0, 4, 3, 4, 4, 0, 1, 0, 4, 1, 2, 0, 0, 4, 1, 4, 0, 2, 1, 1, 2, 1, 3, 0, 3, 4, 4, 2, 1, 1, 3, 2, 0, 3, 1, 4, 4, 4, 0, 3]
pubkeycol1332 = [1, 0, 1, 1, 4, 1, 2, 1, 4, 1, 1, 3, 4, 3, 1, 0, 2, 1, 2, 3, 2, 3, 2, 0, 1, 4, 1, 3, 1, 3, 0, 2, 3, 2, 4, 1, 1, 0, 3, 1, 4, 0, 3, 4, 4, 4, 2, 3, 3, 0, 4, 1, 4, 2, 2, 3, 1, 1, 0, 0, 3, 4, 4, 1, 2, 2, 3, 0, 4, 2, 1, 3, 3, 0, 1, 3, 0, 2, 3, 4, 2, 1, 1, 1, 3, 2, 2, 4, 2, 3, 2, 1, 0, 2, 3, 2, 0, 1, 3, 1, 4, 4, 2, 2, 3, 4, 4, 2, 4, 4, 3, 1, 2, 0, 4, 2, 4, 1, 3, 3, 4, 2, 2, 1, 4, 1, 0, 4, 4, 2, 0, 0, 0, 1, 1, 4, 0, 0, 2, 2, 1, 1, 3, 1, 0, 2, 4, 2, 2, 0, 3, 1, 1, 2, 4, 2, 0, 0, 3, 4, 2, 0, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 4, 1, 1, 3, 3, 4, 2, 4, 1, 2, 0, 3, 4, 0, 0, 2, 0, 4, 3, 4, 4, 0, 1, 2, 0, 4, 1, 2, 0, 2, 0, 0, 3, 3, 4, 2, 4, 0, 4, 3, 2, 1, 1, 4, 0, 1, 2, 1, 4, 2, 1, 3, 4, 3, 3, 0, 3, 2, 0, 2, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 0, 4, 3, 3, 3, 1, 1, 2, 0, 1, 0, 2, 2, 3, 4, 3, 1, 3, 0, 2, 0, 1, 1, 3, 3, 4, 0, 3, 0, 4, 1, 1, 4, 1, 3, 0, 4, 2, 1, 4, 1, 4, 0, 1, 0, 3, 2, 3, 3, 3, 2, 4, 3, 2, 1, 4, 3, 4, 4, 4, 0, 2, 2, 3, 2, 1, 1, 3, 1, 2, 2, 1, 4, 3, 2, 3, 3, 4, 4, 2, 2, 4, 4, 3, 0, 0, 2, 1, 2, 1, 0, 4, 3, 1, 1, 4, 3, 4, 1, 3, 3, 1, 3, 4, 1, 0, 4, 1, 2, 3, 0, 1, 0, 3, 4, 4, 3, 4, 1, 1, 1, 1, 3, 3, 2, 2, 4, 4, 1, 4, 0, 2, 1, 3, 4, 2, 3, 0, 0, 0, 1, 0, 3, 1, 3, 2, 4, 0, 4, 1, 2]
pubkeycol1333 = [3, 0, 2, 0, 4, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 1, 4, 4, 3, 4, 0, 3, 0, 1, 1, 4, 0, 4, 4, 0, 1, 1, 3, 3, 0, 1, 2, 4, 0, 0, 3, 4, 3, 3, 2, 4, 2, 4, 3, 0, 0, 0, 0, 1, 0, 4, 0, 2, 2, 2, 4, 2, 4, 2, 2, 2, 3, 1, 0, 1, 1, 0, 3, 4, 2, 0, 4, 3, 0, 3, 0, 2, 2, 3, 2, 0, 2, 4, 4, 4, 2, 3, 1, 4, 4, 1, 4, 3, 4, 2, 4, 0, 2, 3, 3, 4, 1, 2, 2, 1, 4, 2, 0, 4, 1, 1, 4, 0, 3, 4, 4, 4, 1, 2, 3, 2, 4, 2, 0, 2, 1, 4, 3, 3, 0, 1, 1, 1, 2, 3, 1, 3, 4, 2, 3, 3, 3, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 4, 1, 0, 4, 1, 1, 3, 0, 0, 3, 3, 4, 3, 0, 0, 4, 1, 3, 4, 0, 0, 4, 0, 0, 2, 2, 0, 2, 2, 0, 4, 3, 3, 4, 2, 1, 4, 1, 4, 3, 3, 1, 1, 0, 1, 4, 3, 1, 1, 1, 4, 4, 3, 3, 2, 0, 2, 1, 4, 1, 0, 0, 4, 0, 0, 1, 0, 4, 2, 2, 0, 1, 1, 0, 3, 3, 2, 2, 1, 3, 4, 1, 1, 3, 1, 4, 2, 3, 4, 0, 0, 3, 3, 2, 2, 0, 0, 2, 4, 3, 1, 4, 2, 2, 3, 1, 2, 0, 1, 4, 0, 0, 1, 0, 3, 3, 4, 3, 4, 1, 1, 1, 3, 4, 1, 1, 4, 2, 4, 1, 1, 1, 2, 0, 0, 4, 1, 0, 3, 3, 2, 3, 0, 0, 3, 0, 3, 1, 1, 1, 2, 0, 1, 2, 4, 3, 4, 1, 2, 4, 0, 1, 1, 3, 2, 4, 4, 0, 2, 1, 4, 1, 4, 1, 1, 2, 2, 0, 0, 0, 3, 2, 0, 1, 2, 4, 0, 3, 4, 4, 0, 3, 3, 3, 3, 1, 0, 1, 2, 3, 2, 3, 1, 2, 3, 0, 0, 4, 3, 0, 3, 4, 2, 4, 0, 4, 2, 1, 3, 0, 3, 4, 2, 2, 1, 1, 4, 1, 2, 2, 2, 4, 1, 3, 0, 0, 0, 0, 3, 4, 2, 2, 3]
pubkeycol1334 = [0, 4, 1, 4, 4, 1, 1, 1, 3, 0, 3, 2, 1, 4, 4, 1, 3, 4, 1, 4, 0, 3, 4, 4, 1, 0, 2, 0, 2, 0, 3, 2, 0, 4, 0, 1, 2, 0, 3, 2, 2, 2, 3, 3, 0, 0, 4, 2, 2, 2, 2, 2, 4, 4, 2, 2, 3, 2, 2, 2, 4, 0, 1, 1, 3, 2, 4, 0, 3, 1, 1, 3, 0, 3, 0, 0, 4, 4, 3, 3, 0, 3, 0, 3, 4, 2, 2, 1, 0, 4, 4, 0, 0, 2, 4, 0, 2, 1, 0, 4, 2, 1, 4, 2, 2, 0, 3, 2, 1, 0, 0, 3, 1, 3, 3, 1, 3, 1, 0, 4, 0, 3, 1, 0, 1, 2, 1, 4, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 4, 4, 3, 0, 2, 2, 0, 0, 2, 0, 3, 4, 0, 1, 3, 0, 3, 4, 4, 3, 0, 4, 0, 1, 4, 1, 3, 2, 0, 3, 0, 4, 0, 3, 2, 1, 2, 1, 3, 3, 1, 1, 4, 1, 4, 1, 0, 1, 1, 1, 1, 0, 3, 4, 3, 4, 2, 2, 1, 1, 4, 0, 1, 4, 1, 1, 2, 1, 2, 1, 3, 0, 4, 2, 3, 2, 2, 1, 2, 3, 4, 1, 3, 4, 3, 3, 4, 0, 1, 4, 1, 3, 4, 1, 2, 3, 4, 3, 0, 0, 0, 2, 2, 2, 2, 2, 4, 0, 0, 0, 2, 4, 2, 0, 0, 1, 1, 2, 0, 0, 0, 3, 0, 4, 0, 3, 4, 1, 4, 1, 0, 0, 1, 4, 4, 1, 0, 0, 2, 0, 1, 4, 3, 2, 4, 4, 4, 4, 4, 2, 0, 1, 0, 2, 1, 3, 2, 1, 2, 4, 2, 4, 1, 0, 1, 4, 2, 4, 1, 1, 0, 2, 1, 4, 2, 1, 4, 4, 2, 0, 0, 3, 0, 4, 0, 2, 4, 3, 4, 3, 3, 2, 2, 2, 3, 1, 3, 3, 3, 2, 4, 2, 4, 4, 0, 2, 0, 1, 0, 4, 4, 3, 3, 3, 0, 4, 0, 1, 2, 2, 2, 3, 1, 0, 2, 3, 4, 0, 4, 2, 3, 0, 3, 1, 4, 1, 2, 1, 0, 1, 3, 4, 4, 0, 0, 4, 3, 4, 4, 1, 4, 0, 1, 1, 1, 0, 2, 1, 4, 4, 4, 4]
pubkeycol1335 = [3, 0, 1, 1, 4, 3, 1, 3, 3, 2, 0, 1, 4, 4, 4, 3, 1, 4, 2, 4, 4, 0, 3, 1, 2, 2, 4, 1, 1, 2, 3, 4, 3, 4, 0, 1, 0, 3, 2, 3, 3, 1, 0, 0, 0, 3, 1, 4, 3, 1, 3, 4, 4, 2, 1, 1, 0, 1, 0, 0, 3, 3, 4, 4, 4, 2, 2, 2, 4, 4, 1, 1, 0, 4, 2, 4, 2, 2, 2, 4, 4, 0, 3, 4, 0, 0, 1, 0, 4, 2, 4, 1, 1, 0, 2, 3, 4, 1, 4, 4, 1, 3, 2, 4, 3, 2, 0, 0, 1, 2, 3, 3, 2, 2, 3, 3, 0, 2, 3, 0, 1, 2, 3, 3, 4, 4, 3, 3, 0, 0, 0, 2, 1, 3, 2, 0, 1, 0, 1, 4, 3, 1, 2, 0, 4, 3, 4, 1, 2, 4, 2, 1, 1, 3, 4, 4, 1, 2, 1, 4, 0, 0, 2, 2, 2, 3, 4, 4, 0, 1, 4, 2, 4, 0, 0, 2, 4, 0, 1, 1, 4, 0, 2, 3, 1, 1, 0, 2, 2, 3, 4, 2, 3, 1, 0, 3, 4, 2, 0, 2, 2, 4, 3, 0, 2, 4, 2, 3, 2, 2, 1, 4, 3, 4, 4, 2, 3, 1, 4, 2, 3, 4, 3, 3, 2, 1, 3, 4, 1, 2, 4, 4, 4, 2, 4, 3, 3, 4, 1, 0, 3, 0, 1, 4, 2, 0, 3, 3, 2, 1, 0, 4, 4, 4, 4, 1, 1, 0, 0, 3, 2, 0, 4, 4, 1, 0, 3, 1, 4, 1, 1, 2, 2, 0, 3, 4, 2, 4, 2, 3, 1, 3, 1, 0, 1, 1, 3, 2, 3, 1, 3, 3, 4, 4, 3, 3, 4, 3, 2, 1, 1, 4, 3, 4, 0, 0, 3, 1, 3, 4, 2, 0, 2, 4, 1, 2, 0, 0, 4, 3, 0, 2, 0, 4, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 0, 1, 2, 4, 0, 2, 1, 1, 0, 3, 4, 4, 1, 4, 1, 4, 3, 2, 2, 2, 0, 1, 2, 2, 4, 2, 2, 3, 1, 4, 1, 0, 3, 0, 2, 3, 4, 0, 0, 4, 1, 0, 2, 0, 3, 3, 0, 4, 4, 1, 2, 2, 0, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 0, 1, 3]
pubkeycol1336 = [1, 4, 4, 0, 2, 0, 3, 1, 2, 0, 2, 1, 1, 0, 3, 2, 2, 0, 3, 2, 3, 0, 4, 1, 2, 3, 0, 0, 4, 0, 3, 3, 1, 4, 3, 1, 2, 3, 2, 1, 1, 1, 4, 1, 4, 2, 2, 0, 4, 2, 3, 1, 2, 2, 3, 1, 4, 1, 1, 2, 4, 4, 1, 1, 4, 4, 0, 3, 3, 2, 0, 2, 4, 0, 3, 1, 4, 0, 2, 0, 2, 2, 0, 3, 0, 4, 4, 0, 1, 1, 0, 2, 4, 4, 0, 1, 3, 0, 0, 1, 2, 1, 1, 0, 4, 1, 4, 0, 4, 3, 0, 4, 3, 1, 0, 3, 3, 3, 3, 3, 4, 2, 4, 3, 1, 4, 3, 3, 3, 2, 1, 1, 1, 4, 3, 0, 2, 2, 1, 1, 1, 1, 3, 0, 1, 2, 4, 4, 4, 4, 3, 1, 2, 1, 1, 1, 2, 3, 1, 0, 4, 4, 0, 0, 0, 4, 3, 4, 4, 0, 4, 1, 0, 1, 2, 2, 1, 1, 1, 3, 2, 3, 0, 0, 1, 0, 4, 3, 1, 4, 4, 2, 3, 2, 3, 3, 2, 0, 2, 3, 1, 4, 0, 0, 4, 1, 4, 0, 0, 3, 3, 0, 1, 2, 4, 2, 4, 4, 3, 1, 0, 3, 0, 1, 3, 3, 1, 4, 4, 2, 3, 1, 2, 0, 1, 3, 2, 3, 2, 4, 1, 0, 2, 3, 4, 1, 2, 1, 0, 3, 3, 0, 3, 1, 1, 0, 2, 3, 0, 1, 0, 2, 3, 1, 1, 3, 0, 2, 0, 4, 1, 0, 2, 0, 1, 1, 3, 0, 2, 3, 4, 4, 3, 0, 3, 4, 3, 3, 3, 1, 4, 0, 3, 4, 4, 3, 3, 1, 3, 4, 3, 1, 1, 4, 4, 3, 2, 3, 2, 1, 2, 4, 1, 2, 1, 2, 0, 1, 0, 4, 3, 0, 3, 3, 4, 0, 4, 0, 4, 2, 4, 3, 2, 2, 4, 0, 0, 1, 4, 2, 2, 2, 2, 0, 4, 0, 1, 1, 4, 1, 3, 4, 1, 1, 0, 1, 1, 1, 1, 1, 4, 1, 4, 4, 0, 2, 3, 2, 3, 2, 1, 2, 2, 2, 0, 0, 0, 2, 3, 1, 4, 4, 4, 3, 0, 1, 0, 1, 4, 1, 4, 1, 0, 0, 1, 2, 3, 2, 2, 2]
pubkeycol1337 = [2, 2, 3, 0, 1, 4, 2, 4, 2, 4, 4, 0, 4, 0, 2, 4, 4, 4, 1, 1, 2, 2, 2, 2, 1, 1, 0, 3, 4, 3, 0, 3, 0, 2, 4, 4, 2, 0, 4, 3, 0, 2, 2, 4, 2, 0, 1, 0, 0, 2, 3, 3, 3, 2, 4, 3, 2, 3, 4, 4, 2, 2, 2, 4, 1, 0, 2, 4, 2, 4, 0, 2, 4, 1, 4, 4, 2, 0, 3, 2, 3, 1, 1, 3, 4, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 4, 0, 3, 0, 1, 3, 0, 3, 0, 1, 0, 0, 0, 1, 0, 3, 3, 2, 1, 0, 0, 4, 4, 1, 2, 2, 0, 2, 0, 0, 4, 3, 3, 1, 3, 3, 0, 2, 2, 4, 4, 3, 1, 3, 0, 1, 2, 0, 1, 0, 4, 3, 3, 1, 0, 1, 4, 2, 4, 4, 2, 2, 1, 3, 1, 3, 1, 3, 3, 3, 3, 1, 1, 3, 0, 2, 0, 0, 3, 0, 4, 3, 0, 1, 2, 2, 0, 2, 3, 1, 3, 1, 4, 3, 2, 0, 3, 1, 1, 3, 2, 1, 0, 0, 2, 4, 2, 2, 3, 0, 4, 0, 3, 1, 0, 1, 3, 1, 2, 4, 1, 0, 1, 3, 4, 3, 2, 2, 3, 1, 3, 4, 0, 4, 3, 1, 0, 3, 2, 1, 4, 3, 1, 0, 1, 0, 4, 1, 2, 0, 2, 1, 3, 0, 4, 3, 2, 2, 4, 1, 3, 3, 2, 0, 4, 2, 4, 1, 4, 4, 3, 3, 0, 0, 2, 0, 4, 3, 0, 1, 2, 2, 3, 1, 0, 3, 1, 3, 1, 0, 0, 2, 3, 2, 4, 4, 4, 4, 0, 2, 3, 0, 0, 2, 2, 2, 1, 4, 2, 4, 1, 2, 0, 1, 1, 1, 2, 4, 0, 4, 2, 3, 4, 1, 3, 3, 2, 4, 4, 2, 4, 0, 2, 0, 2, 4, 1, 3, 0, 0, 1, 3, 2, 4, 1, 2, 4, 0, 3, 0, 2, 2, 3, 1, 2, 0, 4, 0, 2, 4, 2, 2, 2, 4, 2, 2, 4, 2, 0, 4, 4, 0, 4, 4, 0, 2, 4, 3, 4, 2, 1, 2, 0, 3, 4, 2, 2, 0, 2, 0, 1, 0, 4, 3, 2, 2, 2, 4, 2, 3, 4, 1]
pubkeycol1338 = [2, 3, 0, 3, 2, 0, 3, 3, 2, 3, 1, 2, 3, 2, 2, 0, 0, 2, 0, 1, 4, 3, 1, 3, 3, 1, 0, 2, 4, 1, 4, 4, 4, 0, 3, 0, 4, 3, 3, 2, 1, 0, 3, 0, 1, 2, 4, 2, 1, 2, 2, 1, 4, 0, 4, 4, 3, 0, 2, 4, 4, 4, 2, 3, 2, 4, 1, 3, 3, 0, 4, 2, 0, 2, 3, 0, 3, 2, 2, 1, 4, 3, 4, 1, 2, 0, 2, 2, 1, 0, 4, 0, 2, 4, 1, 1, 1, 3, 1, 2, 1, 0, 4, 1, 4, 0, 2, 3, 4, 0, 4, 3, 3, 0, 2, 1, 2, 3, 3, 3, 0, 4, 2, 2, 0, 0, 0, 4, 3, 0, 1, 2, 2, 3, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 0, 2, 3, 0, 4, 3, 2, 2, 3, 4, 0, 1, 4, 3, 1, 2, 1, 1, 2, 4, 4, 3, 2, 4, 0, 1, 3, 1, 2, 0, 3, 3, 4, 2, 2, 0, 1, 3, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 3, 2, 0, 3, 2, 1, 4, 4, 0, 1, 2, 4, 4, 3, 1, 0, 2, 4, 4, 0, 4, 3, 4, 2, 0, 2, 0, 0, 0, 4, 1, 2, 2, 2, 3, 3, 0, 3, 0, 0, 4, 4, 1, 2, 2, 2, 2, 3, 0, 4, 1, 1, 1, 2, 2, 2, 2, 2, 0, 3, 1, 3, 3, 3, 1, 0, 1, 4, 0, 0, 1, 0, 2, 4, 2, 2, 4, 0, 1, 0, 2, 3, 3, 4, 0, 2, 0, 3, 4, 0, 1, 0, 1, 4, 4, 0, 1, 0, 0, 4, 2, 0, 3, 1, 3, 4, 1, 4, 2, 2, 2, 1, 0, 3, 3, 2, 2, 0, 2, 4, 0, 2, 3, 4, 3, 0, 3, 0, 2, 3, 1, 3, 3, 3, 2, 1, 0, 4, 2, 4, 3, 2, 2, 0, 3, 0, 3, 4, 2, 3, 4, 2, 0, 4, 1, 3, 0, 4, 3, 2, 3, 2, 0, 1, 3, 4, 1, 4, 0, 2, 1, 4, 2, 2, 2, 2, 2, 2, 0, 2, 4, 2, 4, 0, 0, 0, 4, 0, 2, 2, 4, 3, 2, 0, 2, 2, 3, 2, 2, 3, 0, 0, 2, 2, 1, 1]
pubkeycol1339 = [1, 2, 2, 3, 3, 3, 1, 4, 3, 4, 4, 2, 1, 2, 3, 0, 2, 3, 2, 1, 3, 2, 0, 4, 1, 3, 3, 0, 3, 4, 4, 2, 1, 1, 4, 0, 1, 1, 3, 1, 2, 4, 0, 2, 1, 2, 0, 3, 0, 3, 2, 2, 1, 2, 3, 4, 1, 0, 0, 2, 4, 1, 2, 1, 3, 1, 3, 0, 3, 2, 1, 3, 2, 4, 3, 3, 0, 3, 1, 1, 0, 1, 1, 4, 4, 2, 3, 3, 2, 4, 4, 0, 3, 2, 3, 4, 0, 0, 4, 1, 1, 4, 0, 2, 3, 3, 4, 3, 2, 0, 1, 4, 3, 4, 2, 3, 1, 2, 4, 2, 1, 3, 3, 3, 3, 4, 0, 3, 4, 0, 0, 1, 2, 0, 4, 1, 2, 1, 3, 1, 4, 4, 4, 3, 4, 2, 4, 2, 4, 4, 4, 1, 2, 3, 0, 0, 4, 4, 3, 2, 4, 1, 2, 3, 2, 2, 4, 1, 0, 2, 4, 2, 4, 4, 1, 1, 3, 4, 4, 4, 2, 2, 4, 0, 0, 0, 2, 3, 2, 0, 2, 4, 3, 2, 0, 2, 4, 0, 4, 4, 1, 1, 3, 0, 0, 2, 3, 2, 3, 4, 0, 0, 3, 4, 3, 4, 2, 4, 3, 1, 1, 1, 2, 4, 0, 3, 3, 0, 2, 3, 2, 0, 0, 3, 2, 1, 0, 1, 2, 0, 2, 0, 3, 3, 0, 0, 4, 2, 3, 2, 4, 2, 2, 2, 1, 3, 1, 0, 3, 3, 2, 0, 3, 2, 3, 2, 2, 1, 0, 2, 3, 1, 3, 0, 4, 0, 2, 3, 0, 2, 2, 0, 1, 3, 1, 3, 4, 3, 3, 3, 0, 1, 1, 4, 3, 2, 4, 1, 3, 4, 2, 4, 0, 0, 2, 4, 1, 3, 3, 0, 4, 4, 2, 0, 1, 4, 0, 0, 0, 1, 4, 2, 4, 2, 3, 0, 3, 4, 2, 0, 2, 4, 1, 4, 0, 2, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 4, 1, 3, 1, 0, 4, 0, 4, 2, 2, 0, 1, 0, 3, 1, 3, 0, 3, 2, 1, 0, 3, 4, 4, 0, 3, 4, 1, 4, 0, 4, 3, 2, 1, 3, 4, 1, 0, 1, 0, 3, 4, 0, 1, 2, 1, 1, 4, 3, 0, 0, 1, 4]
pubkeycol1340 = [3, 0, 1, 0, 1, 4, 1, 0, 4, 2, 1, 2, 3, 3, 4, 1, 3, 3, 0, 1, 2, 2, 4, 3, 3, 0, 1, 2, 4, 3, 0, 2, 2, 0, 3, 4, 3, 2, 0, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 0, 3, 1, 2, 0, 0, 2, 4, 3, 2, 3, 1, 1, 0, 0, 1, 4, 4, 1, 4, 3, 2, 1, 1, 4, 2, 1, 1, 4, 3, 0, 3, 0, 0, 0, 3, 1, 4, 1, 1, 2, 4, 2, 3, 4, 1, 2, 0, 1, 2, 4, 0, 3, 4, 3, 2, 4, 1, 0, 3, 3, 1, 0, 0, 4, 4, 3, 4, 1, 1, 1, 3, 2, 2, 4, 4, 0, 3, 2, 0, 2, 1, 4, 0, 2, 2, 4, 4, 2, 2, 0, 4, 0, 0, 2, 0, 2, 3, 3, 3, 0, 1, 2, 3, 3, 1, 0, 3, 3, 0, 0, 1, 1, 4, 2, 3, 4, 4, 3, 1, 1, 0, 3, 0, 3, 0, 3, 1, 1, 4, 3, 0, 3, 0, 3, 1, 2, 2, 0, 4, 0, 4, 0, 1, 4, 3, 3, 0, 2, 4, 2, 0, 4, 4, 2, 0, 4, 1, 2, 3, 2, 4, 4, 4, 0, 4, 2, 1, 1, 3, 3, 0, 1, 0, 1, 1, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 1, 3, 3, 4, 2, 0, 1, 2, 2, 2, 0, 3, 2, 0, 3, 1, 1, 4, 2, 1, 2, 0, 3, 0, 3, 2, 3, 3, 3, 0, 3, 3, 1, 1, 4, 4, 4, 2, 0, 1, 0, 1, 4, 4, 4, 2, 3, 0, 2, 0, 2, 2, 3, 3, 4, 3, 0, 4, 1, 0, 3, 4, 2, 2, 3, 2, 2, 4, 3, 1, 0, 2, 4, 0, 4, 2, 1, 2, 4, 2, 4, 3, 1, 0, 1, 2, 4, 2, 1, 4, 1, 2, 1, 2, 3, 4, 2, 2, 1, 3, 1, 2, 4, 2, 4, 3, 2, 1, 0, 2, 3, 2, 1, 3, 3, 4, 0, 3, 4, 1, 4, 2, 1, 3, 1, 1, 2, 0, 4, 1, 1, 0, 3, 2, 1, 2, 2, 0, 3, 3, 4, 1, 0, 2, 0, 1, 4, 3, 4, 1, 3, 0, 4, 1, 3, 4, 2, 1, 2, 4, 4, 4, 3, 0, 4]
pubkeycol1341 = [0, 1, 4, 1, 3, 0, 2, 0, 4, 0, 1, 2, 4, 1, 2, 1, 3, 4, 4, 4, 4, 4, 3, 0, 4, 4, 2, 4, 1, 1, 3, 4, 2, 0, 4, 1, 0, 4, 1, 1, 0, 2, 3, 2, 1, 1, 2, 2, 4, 3, 3, 3, 2, 2, 0, 4, 1, 1, 0, 2, 4, 0, 1, 1, 3, 2, 2, 1, 4, 4, 0, 1, 0, 2, 4, 3, 4, 4, 2, 4, 3, 4, 3, 4, 1, 2, 1, 3, 3, 0, 1, 3, 1, 0, 4, 2, 4, 1, 4, 2, 3, 0, 0, 0, 1, 2, 0, 2, 4, 2, 2, 0, 4, 3, 2, 0, 3, 3, 0, 0, 2, 0, 2, 4, 3, 0, 3, 2, 3, 0, 2, 3, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 4, 2, 2, 3, 0, 0, 4, 1, 2, 3, 3, 3, 4, 3, 0, 4, 2, 2, 4, 4, 1, 3, 0, 4, 3, 4, 4, 3, 2, 0, 0, 2, 2, 0, 0, 3, 0, 1, 4, 0, 0, 2, 2, 3, 3, 1, 0, 2, 1, 3, 3, 2, 2, 4, 1, 3, 4, 3, 4, 4, 2, 1, 0, 4, 3, 4, 3, 1, 1, 1, 1, 3, 2, 4, 3, 2, 1, 3, 0, 1, 1, 1, 4, 1, 2, 4, 0, 0, 3, 0, 1, 1, 1, 0, 3, 2, 4, 4, 2, 0, 3, 0, 4, 4, 1, 2, 3, 3, 3, 4, 1, 0, 3, 0, 4, 2, 2, 1, 0, 4, 0, 1, 1, 2, 3, 3, 1, 2, 2, 1, 1, 2, 4, 1, 3, 1, 1, 2, 2, 2, 3, 1, 3, 1, 1, 0, 4, 0, 0, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 4, 3, 1, 0, 3, 0, 4, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 4, 3, 0, 2, 0, 4, 3, 2, 3, 2, 1, 0, 0, 0, 2, 0, 4, 4, 2, 2, 3, 1, 0, 2, 0, 3, 1, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 0, 4, 3, 1, 3, 2, 0, 1, 3, 4, 0, 3, 4, 0, 3, 3, 2, 0, 1, 2, 1, 4, 3, 0, 4, 2, 4, 2, 4, 0, 4, 1, 3, 0, 3, 0, 2, 2, 4, 2, 1, 4, 4, 0, 1]
pubkeycol1342 = [0, 2, 2, 1, 0, 1, 3, 0, 0, 1, 3, 2, 0, 0, 0, 4, 2, 4, 0, 2, 1, 4, 0, 4, 4, 3, 3, 0, 4, 0, 4, 0, 3, 0, 0, 1, 1, 4, 3, 4, 3, 0, 3, 2, 1, 2, 3, 2, 2, 2, 3, 0, 0, 0, 4, 4, 2, 4, 3, 4, 4, 1, 2, 2, 3, 1, 4, 2, 1, 3, 1, 4, 2, 3, 3, 1, 1, 1, 0, 0, 0, 2, 3, 0, 0, 0, 0, 2, 1, 2, 2, 3, 4, 4, 1, 0, 4, 3, 1, 2, 3, 3, 2, 1, 3, 2, 3, 0, 2, 0, 3, 3, 4, 2, 4, 1, 4, 1, 2, 1, 0, 1, 0, 3, 3, 1, 2, 3, 4, 3, 1, 2, 0, 4, 3, 0, 1, 0, 3, 1, 3, 1, 0, 0, 3, 4, 3, 4, 0, 3, 2, 2, 2, 4, 4, 0, 1, 1, 3, 4, 3, 3, 0, 4, 2, 0, 0, 4, 1, 0, 4, 1, 1, 0, 4, 1, 4, 1, 1, 3, 1, 2, 0, 2, 1, 1, 1, 0, 1, 3, 3, 0, 2, 0, 3, 3, 0, 0, 4, 0, 1, 0, 2, 3, 1, 3, 2, 2, 3, 0, 0, 0, 0, 4, 4, 4, 3, 0, 2, 0, 0, 3, 4, 2, 4, 4, 1, 1, 0, 4, 4, 1, 0, 0, 4, 1, 0, 4, 3, 3, 1, 1, 0, 3, 2, 0, 3, 3, 0, 0, 1, 2, 4, 1, 4, 4, 1, 4, 0, 4, 2, 4, 3, 4, 4, 4, 0, 4, 1, 2, 4, 3, 3, 0, 2, 1, 2, 3, 1, 3, 3, 3, 1, 2, 0, 1, 0, 2, 4, 1, 0, 1, 4, 3, 0, 0, 4, 3, 2, 3, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 3, 2, 1, 1, 1, 3, 0, 0, 3, 3, 0, 3, 4, 3, 4, 4, 4, 3, 3, 3, 2, 1, 0, 4, 2, 4, 1, 4, 4, 3, 3, 0, 0, 2, 1, 1, 0, 4, 4, 0, 0, 2, 1, 4, 4, 3, 4, 2, 1, 0, 0, 2, 2, 2, 4, 2, 1, 1, 2, 0, 1, 3, 3, 0, 3, 2, 3, 4, 1, 2, 4, 1, 1, 1, 0, 0, 4, 4, 1, 2, 2, 4, 4, 4, 2, 3, 3, 0]
pubkeycol1343 = [4, 3, 4, 2, 2, 3, 3, 1, 4, 4, 1, 4, 3, 4, 4, 0, 1, 3, 3, 1, 4, 4, 2, 1, 0, 2, 0, 0, 2, 2, 4, 2, 0, 2, 4, 1, 3, 0, 4, 4, 0, 4, 1, 0, 3, 0, 4, 3, 1, 0, 2, 2, 1, 4, 2, 3, 2, 2, 4, 1, 4, 3, 0, 3, 1, 4, 2, 3, 0, 2, 4, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 4, 0, 4, 2, 0, 2, 3, 4, 2, 2, 3, 1, 1, 2, 4, 0, 3, 1, 4, 0, 3, 4, 4, 4, 0, 3, 1, 1, 0, 4, 4, 2, 0, 1, 4, 1, 0, 2, 0, 2, 2, 4, 2, 2, 3, 1, 4, 0, 4, 4, 2, 4, 2, 2, 2, 2, 2, 1, 1, 4, 1, 2, 2, 4, 3, 0, 3, 1, 2, 3, 1, 1, 1, 1, 4, 3, 0, 3, 3, 3, 3, 4, 4, 2, 2, 4, 3, 2, 1, 4, 0, 3, 1, 3, 2, 1, 0, 2, 1, 4, 1, 2, 3, 0, 2, 3, 4, 4, 3, 0, 0, 0, 4, 2, 0, 0, 2, 2, 2, 2, 2, 3, 4, 4, 1, 0, 3, 2, 2, 0, 2, 0, 1, 2, 4, 2, 0, 4, 0, 1, 3, 4, 3, 2, 1, 4, 0, 2, 0, 1, 1, 2, 3, 2, 4, 1, 4, 1, 1, 4, 2, 3, 1, 2, 3, 4, 1, 1, 4, 2, 0, 1, 0, 4, 1, 0, 1, 1, 4, 2, 0, 1, 2, 1, 4, 2, 1, 2, 4, 1, 1, 4, 3, 1, 0, 3, 3, 4, 3, 3, 3, 4, 1, 1, 3, 3, 1, 2, 1, 4, 4, 1, 0, 4, 2, 1, 4, 0, 3, 2, 3, 3, 1, 1, 0, 1, 0, 4, 0, 4, 0, 1, 4, 2, 3, 4, 1, 0, 0, 0, 0, 4, 2, 0, 4, 1, 2, 4, 2, 4, 1, 1, 2, 1, 2, 3, 0, 3, 4, 1, 2, 4, 1, 1, 0, 0, 1, 2, 0, 3, 1, 3, 4, 3, 4, 3, 0, 0, 4, 1, 3, 1, 2, 4, 0, 0, 4, 2, 2, 2, 0, 4, 3, 0, 2, 0, 4, 2, 2, 0, 1, 3, 2, 2, 2, 0, 1, 3, 0, 2, 3, 1, 1, 3, 2, 4, 4, 3]
pubkeycol1344 = [1, 3, 1, 4, 3, 1, 1, 0, 4, 3, 2, 4, 3, 1, 4, 2, 1, 2, 1, 1, 2, 1, 4, 3, 1, 3, 1, 3, 0, 3, 2, 3, 0, 4, 0, 1, 0, 1, 3, 1, 1, 0, 1, 0, 1, 0, 3, 1, 0, 3, 0, 2, 1, 3, 1, 2, 2, 2, 2, 3, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 4, 0, 1, 2, 2, 4, 0, 3, 2, 1, 1, 4, 1, 2, 2, 1, 1, 1, 0, 0, 3, 2, 3, 3, 1, 4, 0, 1, 3, 4, 4, 1, 1, 3, 4, 1, 3, 3, 3, 2, 2, 4, 3, 2, 0, 0, 3, 4, 0, 4, 3, 1, 1, 2, 1, 0, 1, 1, 2, 4, 3, 0, 1, 3, 4, 1, 0, 1, 4, 0, 1, 3, 1, 1, 4, 2, 1, 4, 4, 0, 2, 4, 1, 2, 4, 0, 2, 4, 3, 3, 4, 2, 2, 2, 0, 1, 4, 3, 0, 3, 2, 4, 2, 1, 4, 0, 3, 1, 2, 0, 3, 3, 3, 4, 1, 1, 0, 2, 1, 3, 2, 0, 4, 3, 3, 1, 3, 2, 2, 4, 0, 0, 2, 1, 4, 1, 1, 1, 1, 0, 3, 2, 1, 1, 4, 0, 4, 1, 0, 3, 0, 3, 3, 0, 3, 1, 1, 1, 0, 1, 2, 0, 2, 1, 3, 1, 4, 2, 2, 0, 1, 3, 2, 1, 1, 4, 1, 0, 3, 0, 3, 3, 0, 2, 0, 3, 0, 2, 4, 2, 3, 4, 3, 4, 3, 1, 2, 0, 2, 1, 3, 1, 0, 2, 4, 0, 1, 3, 0, 0, 2, 4, 4, 2, 0, 3, 3, 1, 2, 0, 1, 3, 2, 3, 4, 2, 0, 3, 2, 1, 3, 4, 4, 3, 2, 0, 3, 3, 2, 1, 1, 3, 3, 4, 3, 3, 0, 4, 2, 2, 1, 2, 4, 3, 1, 0, 0, 3, 0, 4, 0, 2, 0, 1, 0, 0, 0, 0, 2, 3, 0, 4, 4, 4, 2, 0, 2, 2, 3, 1, 2, 4, 2, 3, 2, 3, 4, 1, 3, 1, 0, 3, 4, 2, 1, 2, 0, 4, 4, 2, 1, 4, 0, 0, 2, 3, 4, 4, 2, 4, 4, 0, 1, 3, 1, 1, 2, 3, 2, 3, 1, 2, 4, 3, 1, 3, 4, 1, 0]
pubkeycol1345 = [0, 4, 4, 2, 0, 3, 4, 2, 3, 3, 3, 0, 2, 1, 2, 3, 2, 4, 3, 1, 2, 0, 4, 1, 2, 3, 1, 2, 4, 1, 0, 1, 3, 0, 0, 1, 0, 4, 3, 1, 1, 3, 0, 4, 4, 3, 3, 2, 4, 2, 4, 2, 4, 4, 0, 3, 1, 2, 1, 0, 1, 2, 2, 2, 3, 1, 4, 0, 2, 0, 1, 2, 2, 0, 3, 4, 4, 1, 3, 3, 3, 1, 0, 1, 3, 0, 2, 3, 1, 4, 0, 0, 3, 3, 4, 2, 2, 3, 2, 4, 0, 2, 2, 2, 1, 2, 3, 0, 3, 3, 4, 0, 3, 4, 0, 4, 3, 0, 3, 0, 1, 3, 1, 2, 3, 2, 0, 1, 1, 0, 1, 4, 1, 0, 4, 0, 2, 0, 3, 3, 0, 0, 4, 1, 3, 0, 3, 3, 4, 0, 1, 2, 3, 1, 2, 4, 4, 1, 3, 0, 0, 3, 3, 0, 3, 1, 1, 0, 2, 3, 2, 2, 4, 4, 4, 2, 0, 1, 0, 4, 0, 1, 1, 3, 4, 1, 0, 3, 2, 4, 1, 0, 3, 1, 0, 3, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 3, 1, 4, 1, 2, 2, 2, 4, 3, 0, 1, 2, 4, 4, 2, 0, 1, 2, 0, 2, 4, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 4, 3, 1, 4, 1, 2, 2, 1, 3, 4, 4, 2, 0, 4, 4, 0, 1, 4, 2, 3, 4, 4, 4, 4, 3, 0, 1, 1, 3, 3, 3, 2, 1, 2, 2, 3, 4, 0, 3, 0, 1, 4, 2, 3, 4, 0, 4, 3, 3, 0, 1, 3, 1, 2, 4, 0, 2, 3, 2, 4, 2, 3, 4, 1, 1, 2, 0, 3, 1, 1, 1, 4, 0, 3, 0, 2, 3, 4, 0, 0, 2, 3, 4, 0, 3, 4, 4, 3, 2, 2, 1, 4, 1, 2, 3, 4, 3, 2, 0, 2, 4, 4, 2, 2, 4, 3, 2, 4, 4, 4, 3, 4, 4, 0, 0, 3, 0, 4, 4, 2, 2, 0, 0, 2, 1, 4, 1, 0, 3, 0, 0, 4, 1, 0, 3, 0, 3, 3, 4, 1, 4, 1, 3, 0, 0, 2, 2, 4, 2, 2, 3, 4, 0, 4, 4, 0, 2, 3, 2, 0, 0, 2, 3]
pubkeycol1346 = [1, 3, 3, 3, 4, 0, 2, 3, 1, 4, 1, 1, 3, 0, 4, 1, 4, 1, 3, 3, 0, 3, 4, 3, 4, 4, 3, 3, 3, 2, 0, 1, 1, 0, 2, 1, 2, 0, 4, 3, 4, 4, 0, 4, 4, 1, 4, 2, 2, 2, 1, 1, 4, 4, 2, 0, 3, 2, 4, 1, 3, 2, 4, 4, 2, 1, 0, 4, 2, 0, 2, 0, 2, 0, 2, 0, 4, 2, 1, 2, 2, 0, 3, 2, 1, 4, 4, 1, 3, 1, 2, 0, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 3, 1, 1, 2, 4, 0, 4, 2, 2, 1, 2, 0, 3, 0, 0, 2, 4, 4, 3, 3, 1, 0, 3, 1, 2, 0, 3, 1, 3, 3, 3, 3, 3, 1, 2, 4, 3, 1, 0, 3, 4, 4, 4, 1, 4, 1, 1, 2, 2, 4, 1, 3, 0, 1, 0, 4, 1, 3, 1, 0, 2, 0, 3, 4, 4, 4, 4, 4, 0, 1, 0, 2, 4, 4, 3, 3, 0, 3, 3, 0, 3, 1, 0, 4, 1, 2, 4, 1, 2, 3, 1, 4, 3, 4, 4, 4, 0, 4, 2, 1, 4, 0, 0, 1, 0, 4, 4, 4, 3, 1, 2, 0, 0, 0, 3, 1, 0, 2, 2, 3, 4, 2, 1, 2, 1, 3, 1, 2, 3, 0, 0, 1, 3, 0, 0, 4, 0, 0, 2, 1, 4, 0, 2, 2, 3, 2, 0, 3, 1, 3, 3, 3, 4, 2, 3, 3, 4, 1, 2, 3, 3, 4, 1, 1, 3, 3, 2, 0, 3, 2, 3, 3, 4, 1, 0, 1, 4, 2, 1, 3, 1, 0, 1, 1, 3, 2, 0, 1, 4, 4, 1, 1, 1, 3, 3, 0, 4, 4, 2, 3, 4, 0, 1, 3, 4, 4, 2, 3, 2, 2, 0, 1, 2, 2, 2, 3, 2, 4, 4, 1, 4, 1, 3, 3, 0, 1, 4, 0, 4, 3, 4, 4, 2, 1, 4, 1, 1, 3, 3, 2, 1, 4, 3, 2, 1, 1, 3, 3, 4, 0, 2, 2, 2, 3, 4, 1, 3, 3, 1, 4, 2, 3, 2, 1, 3, 2, 1, 3, 4, 3, 3, 1, 3, 2, 0, 3, 0, 4, 0, 3, 0, 2, 3, 2, 2, 0, 4, 4, 4, 3, 1, 1, 2, 3, 3, 0, 2, 1]
pubkeycol1347 = [4, 3, 0, 0, 4, 1, 1, 2, 4, 0, 3, 2, 3, 3, 3, 4, 0, 0, 4, 4, 0, 2, 3, 2, 2, 4, 1, 1, 3, 0, 1, 2, 4, 3, 2, 1, 0, 1, 0, 4, 0, 2, 0, 0, 4, 3, 0, 4, 1, 0, 1, 4, 4, 2, 0, 1, 0, 1, 0, 4, 4, 4, 2, 2, 0, 1, 0, 2, 2, 3, 1, 4, 4, 3, 1, 4, 1, 0, 2, 2, 2, 1, 4, 2, 0, 3, 2, 4, 2, 3, 3, 2, 2, 2, 3, 0, 1, 1, 2, 4, 2, 1, 2, 4, 0, 2, 1, 0, 0, 0, 0, 4, 4, 1, 3, 4, 2, 2, 2, 1, 2, 4, 1, 0, 1, 2, 4, 4, 4, 4, 4, 3, 3, 0, 2, 3, 4, 2, 2, 0, 0, 4, 4, 4, 3, 1, 3, 2, 4, 1, 3, 0, 3, 0, 1, 0, 4, 3, 1, 0, 3, 2, 4, 3, 1, 4, 4, 3, 3, 4, 1, 3, 3, 4, 0, 2, 2, 1, 4, 0, 0, 0, 3, 2, 1, 3, 3, 2, 4, 4, 0, 0, 2, 2, 1, 4, 0, 2, 3, 4, 4, 0, 1, 3, 2, 1, 0, 2, 1, 2, 4, 0, 3, 0, 0, 1, 2, 2, 1, 0, 1, 4, 1, 3, 4, 4, 2, 1, 4, 4, 1, 1, 4, 3, 3, 3, 1, 3, 1, 1, 2, 4, 3, 1, 0, 0, 2, 0, 4, 2, 1, 1, 3, 2, 3, 4, 4, 1, 1, 1, 4, 0, 0, 1, 0, 1, 4, 2, 4, 0, 3, 1, 2, 3, 1, 3, 2, 2, 1, 4, 3, 0, 2, 3, 1, 0, 0, 2, 4, 0, 3, 4, 0, 0, 2, 3, 1, 0, 2, 0, 2, 0, 4, 1, 4, 1, 2, 1, 3, 0, 0, 3, 4, 4, 0, 1, 3, 4, 4, 0, 0, 2, 4, 4, 4, 3, 0, 0, 2, 4, 2, 1, 2, 4, 1, 1, 2, 1, 1, 3, 1, 4, 0, 1, 1, 3, 3, 0, 3, 4, 1, 2, 4, 2, 4, 3, 0, 1, 4, 1, 0, 3, 3, 1, 4, 4, 3, 4, 3, 3, 4, 1, 0, 3, 2, 0, 1, 3, 2, 2, 1, 1, 3, 1, 2, 0, 4, 0, 2, 4, 4, 0, 3, 3, 0, 1, 4, 1, 1, 1]
pubkeycol1348 = [0, 3, 1, 1, 3, 2, 0, 1, 3, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 4, 2, 2, 2, 3, 0, 4, 2, 1, 0, 0, 2, 3, 0, 2, 2, 0, 0, 3, 4, 2, 3, 1, 4, 4, 0, 4, 0, 3, 0, 1, 4, 1, 0, 4, 4, 4, 2, 4, 3, 0, 4, 3, 4, 0, 4, 0, 3, 3, 1, 0, 3, 4, 0, 0, 4, 2, 2, 0, 1, 1, 0, 4, 0, 2, 1, 3, 4, 0, 4, 0, 1, 0, 1, 0, 0, 3, 3, 1, 1, 0, 1, 4, 2, 4, 0, 1, 3, 4, 4, 4, 4, 0, 4, 2, 1, 4, 3, 4, 4, 3, 0, 0, 0, 0, 1, 2, 2, 2, 3, 0, 0, 4, 3, 0, 3, 2, 3, 3, 1, 4, 0, 2, 3, 0, 1, 0, 0, 1, 4, 3, 4, 3, 0, 4, 4, 0, 3, 0, 3, 2, 2, 3, 0, 4, 4, 2, 4, 3, 2, 4, 1, 4, 0, 3, 2, 3, 1, 3, 2, 3, 3, 1, 4, 0, 2, 3, 0, 3, 2, 0, 0, 0, 0, 2, 4, 2, 3, 4, 4, 3, 3, 1, 2, 2, 4, 1, 2, 4, 2, 0, 0, 0, 1, 1, 4, 3, 0, 3, 2, 1, 0, 0, 3, 2, 2, 1, 1, 2, 0, 2, 1, 2, 3, 3, 0, 3, 3, 2, 2, 0, 2, 4, 0, 3, 0, 3, 1, 1, 4, 0, 1, 3, 3, 3, 1, 4, 0, 1, 4, 0, 3, 4, 2, 2, 0, 1, 3, 0, 3, 0, 1, 0, 4, 4, 3, 4, 2, 0, 0, 2, 0, 2, 1, 3, 2, 2, 4, 3, 3, 3, 0, 2, 4, 3, 1, 3, 1, 4, 1, 2, 1, 2, 2, 0, 3, 2, 2, 4, 4, 0, 3, 4, 3, 1, 2, 2, 1, 3, 4, 3, 3, 4, 1, 1, 1, 0, 0, 2, 2, 3, 4, 4, 2, 2, 3, 2, 2, 4, 0, 0, 4, 1, 4, 1, 2, 1, 2, 2, 1, 0, 0, 3, 3, 4, 2, 3, 4, 3, 1, 1, 4, 2, 0, 3, 3, 1, 1, 2, 1, 2, 0, 0, 4, 0, 4, 2, 0, 0, 3, 1, 2, 0, 4, 4, 2, 1, 3, 0, 1, 0, 4, 0, 3, 3, 1, 4, 2, 1, 0, 0]
pubkeycol1349 = [0, 2, 1, 2, 3, 1, 1, 3, 1, 4, 3, 0, 0, 1, 4, 2, 1, 0, 3, 3, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 3, 4, 2, 2, 4, 3, 4, 3, 0, 3, 1, 1, 3, 4, 3, 3, 3, 1, 3, 4, 3, 0, 3, 4, 0, 3, 2, 2, 1, 0, 3, 0, 0, 0, 4, 2, 2, 1, 2, 2, 2, 3, 1, 1, 1, 3, 4, 4, 4, 0, 3, 0, 4, 1, 1, 2, 2, 3, 1, 3, 4, 0, 3, 2, 2, 2, 3, 3, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 3, 3, 0, 0, 0, 0, 1, 1, 3, 4, 4, 1, 1, 0, 3, 0, 3, 0, 3, 2, 0, 2, 0, 1, 4, 4, 0, 3, 4, 1, 0, 2, 3, 0, 4, 4, 0, 4, 3, 4, 3, 2, 1, 0, 0, 1, 3, 3, 0, 0, 4, 4, 1, 4, 4, 0, 1, 1, 4, 0, 2, 4, 1, 1, 4, 2, 3, 4, 1, 2, 2, 1, 4, 0, 0, 0, 4, 1, 4, 0, 4, 1, 2, 2, 1, 1, 1, 1, 0, 3, 2, 3, 0, 2, 4, 2, 0, 4, 3, 4, 4, 2, 4, 4, 0, 2, 3, 2, 4, 0, 1, 4, 3, 1, 2, 0, 4, 1, 1, 3, 0, 2, 1, 3, 1, 0, 4, 4, 4, 1, 0, 3, 1, 1, 2, 2, 3, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 3, 3, 1, 3, 2, 2, 2, 4, 2, 3, 1, 2, 1, 1, 2, 4, 2, 0, 0, 2, 0, 1, 0, 1, 3, 0, 0, 4, 0, 3, 1, 2, 4, 0, 1, 3, 4, 4, 1, 1, 1, 4, 2, 0, 1, 3, 0, 2, 0, 4, 2, 3, 3, 2, 3, 3, 3, 0, 2, 2, 1, 1, 4, 4, 1, 2, 1, 0, 2, 4, 4, 2, 1, 3, 1, 2, 0, 0, 1, 4, 2, 3, 2, 3, 4, 2, 2, 3, 1, 4, 3, 2, 0, 0, 1, 0, 3, 1, 3, 3, 4, 3, 1, 1, 0, 0, 0, 1, 0, 3, 2, 0, 3, 4, 4, 2, 3, 4, 3, 1, 0, 0, 4, 4, 1, 4, 1, 4, 1, 4, 1, 4, 3, 0, 3, 3, 2, 2, 2, 3]
pubkeycol1350 = [2, 0, 4, 2, 0, 0, 1, 2, 1, 2, 1, 4, 3, 1, 0, 0, 2, 0, 0, 2, 4, 2, 1, 1, 4, 4, 3, 4, 0, 4, 2, 3, 3, 1, 2, 0, 4, 2, 2, 4, 0, 3, 4, 4, 2, 2, 4, 2, 1, 3, 2, 1, 4, 0, 3, 2, 1, 4, 0, 1, 2, 2, 2, 4, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 1, 0, 1, 2, 3, 1, 1, 2, 4, 4, 0, 2, 4, 2, 3, 4, 0, 2, 2, 3, 4, 4, 4, 0, 4, 2, 0, 4, 1, 4, 0, 3, 0, 2, 1, 2, 3, 2, 3, 0, 3, 3, 1, 4, 4, 3, 3, 4, 4, 1, 2, 4, 0, 3, 3, 4, 2, 3, 3, 2, 1, 1, 3, 3, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 4, 0, 3, 2, 2, 2, 3, 0, 1, 3, 0, 3, 2, 4, 1, 1, 2, 1, 2, 2, 3, 4, 1, 0, 0, 4, 2, 3, 2, 4, 0, 0, 3, 3, 3, 4, 0, 1, 4, 4, 2, 0, 4, 1, 1, 0, 0, 3, 4, 1, 2, 3, 4, 4, 0, 2, 2, 3, 3, 1, 2, 1, 0, 4, 3, 0, 2, 4, 2, 2, 2, 3, 1, 0, 1, 2, 0, 3, 0, 4, 0, 2, 2, 0, 2, 4, 0, 4, 2, 2, 1, 0, 1, 3, 1, 1, 3, 1, 3, 2, 3, 1, 4, 0, 0, 4, 2, 1, 0, 1, 2, 4, 0, 1, 4, 2, 0, 4, 3, 1, 4, 4, 4, 2, 1, 4, 2, 1, 3, 0, 0, 3, 0, 0, 4, 1, 0, 1, 2, 4, 1, 0, 3, 2, 4, 0, 2, 0, 3, 1, 2, 2, 1, 4, 3, 1, 0, 4, 4, 0, 1, 0, 2, 2, 0, 2, 2, 2, 4, 3, 1, 0, 2, 4, 2, 4, 4, 1, 3, 4, 0, 1, 2, 2, 0, 4, 3, 3, 3, 3, 4, 0, 4, 1, 3, 3, 1, 4, 4, 2, 0, 1, 1, 1, 2, 4, 3, 0, 4, 4, 3, 3, 3, 1, 0, 4, 1, 4, 1, 0, 0, 0, 3, 0, 4, 0, 3, 2, 3, 4, 3, 3, 1, 3, 3, 4, 4, 0, 0, 2, 1, 2, 0, 2, 4, 4, 3, 3, 3, 1, 2, 4]
pubkeycol1351 = [3, 0, 1, 0, 2, 4, 2, 2, 1, 3, 1, 1, 4, 1, 0, 1, 4, 2, 2, 0, 0, 4, 4, 2, 2, 4, 4, 4, 2, 3, 3, 3, 2, 3, 3, 0, 3, 0, 2, 0, 0, 2, 2, 4, 4, 1, 3, 0, 2, 4, 1, 0, 0, 0, 3, 4, 2, 0, 0, 4, 0, 0, 1, 3, 2, 0, 2, 1, 4, 1, 2, 1, 4, 0, 4, 4, 0, 2, 1, 2, 1, 1, 2, 2, 4, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 3, 3, 2, 3, 2, 3, 0, 0, 3, 1, 3, 4, 4, 4, 3, 4, 4, 1, 2, 4, 2, 2, 3, 1, 0, 2, 3, 3, 4, 1, 1, 1, 3, 1, 2, 1, 1, 3, 0, 4, 0, 1, 1, 0, 0, 2, 3, 0, 4, 4, 4, 1, 3, 1, 0, 0, 0, 4, 2, 3, 1, 0, 2, 2, 0, 1, 0, 2, 3, 2, 1, 2, 4, 0, 4, 2, 4, 2, 3, 4, 2, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 4, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 2, 1, 0, 4, 4, 1, 3, 4, 2, 3, 3, 4, 4, 3, 2, 4, 1, 3, 0, 2, 4, 4, 3, 1, 4, 4, 2, 4, 0, 1, 4, 4, 2, 2, 1, 0, 3, 4, 1, 4, 0, 3, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 4, 1, 4, 0, 1, 3, 4, 4, 3, 1, 2, 2, 2, 4, 1, 4, 3, 2, 3, 3, 3, 0, 2, 3, 3, 1, 1, 4, 2, 2, 2, 0, 4, 3, 3, 2, 3, 4, 3, 1, 1, 0, 0, 0, 1, 3, 0, 3, 1, 1, 1, 4, 3, 3, 3, 1, 3, 1, 1, 4, 2, 1, 2, 1, 2, 4, 2, 3, 2, 1, 1, 0, 3, 2, 0, 1, 4, 3, 0, 3, 0, 3, 2, 3, 0, 0, 3, 2, 3, 2, 2, 2, 2, 0, 4, 1, 3, 0, 1, 3, 4, 1, 4, 3, 0, 0, 4, 3, 2, 3, 3, 3, 1, 2, 3, 4, 0, 2, 1, 1, 0, 3, 2, 3, 1, 1, 1, 2, 2, 4, 2, 1, 1, 0, 3, 4, 3, 3, 0, 1, 3, 4, 1, 0, 0, 4]
pubkeycol1352 = [4, 3, 4, 1, 4, 0, 0, 1, 1, 0, 3, 2, 3, 0, 1, 1, 4, 2, 0, 2, 0, 1, 2, 2, 2, 1, 3, 3, 4, 3, 3, 4, 2, 2, 4, 2, 3, 1, 4, 4, 1, 0, 0, 3, 2, 3, 0, 2, 4, 3, 4, 4, 4, 1, 2, 3, 4, 1, 3, 4, 1, 3, 0, 1, 1, 4, 2, 4, 2, 2, 4, 2, 1, 2, 2, 2, 3, 4, 1, 1, 2, 1, 1, 3, 3, 2, 0, 3, 3, 3, 1, 4, 3, 3, 1, 3, 2, 0, 1, 4, 3, 0, 0, 4, 1, 4, 4, 1, 2, 2, 2, 3, 2, 4, 1, 1, 1, 3, 4, 3, 3, 2, 4, 0, 0, 4, 1, 1, 0, 0, 0, 3, 4, 2, 2, 3, 1, 2, 4, 3, 3, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 4, 0, 3, 2, 3, 0, 1, 1, 3, 4, 0, 4, 2, 1, 4, 0, 2, 3, 0, 3, 1, 4, 2, 1, 4, 4, 2, 0, 4, 2, 4, 4, 2, 3, 1, 0, 3, 1, 3, 1, 0, 1, 4, 2, 2, 0, 0, 4, 3, 1, 0, 2, 4, 3, 2, 2, 0, 0, 0, 0, 4, 3, 0, 2, 3, 3, 2, 1, 4, 0, 0, 3, 4, 2, 0, 2, 2, 2, 4, 2, 1, 1, 0, 4, 3, 2, 3, 2, 4, 4, 0, 3, 0, 4, 3, 3, 2, 1, 3, 2, 3, 0, 4, 2, 2, 2, 3, 4, 2, 3, 1, 4, 3, 2, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 1, 4, 4, 1, 1, 4, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 4, 4, 4, 3, 3, 4, 3, 4, 1, 0, 4, 3, 4, 4, 3, 4, 2, 4, 1, 1, 1, 0, 0, 1, 4, 4, 4, 4, 4, 1, 4, 2, 3, 0, 2, 4, 2, 4, 1, 1, 1, 0, 3, 3, 0, 4, 4, 0, 3, 0, 4, 2, 0, 0, 1, 4, 2, 2, 4, 3, 4, 1, 1, 0, 0, 2, 3, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 3, 0, 4, 4, 2, 2, 4, 0, 4, 2, 3, 2, 1, 1, 0, 4, 2, 0, 1, 4, 4, 4, 2, 4, 1, 2, 4, 2, 2, 3, 2]
pubkeycol1353 = [3, 1, 2, 0, 4, 0, 3, 2, 3, 2, 2, 1, 0, 4, 0, 3, 2, 1, 4, 4, 0, 4, 2, 1, 1, 0, 2, 2, 4, 1, 4, 1, 0, 3, 1, 0, 4, 1, 1, 3, 2, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 2, 1, 0, 2, 1, 4, 4, 2, 4, 4, 4, 4, 1, 3, 3, 2, 3, 3, 0, 3, 3, 2, 0, 4, 1, 1, 2, 0, 1, 2, 2, 4, 0, 3, 1, 3, 4, 2, 0, 0, 1, 0, 3, 2, 2, 0, 2, 2, 1, 4, 4, 3, 1, 1, 2, 3, 4, 0, 4, 1, 2, 2, 0, 3, 2, 4, 1, 4, 1, 2, 1, 4, 1, 2, 4, 0, 2, 2, 3, 3, 3, 2, 0, 1, 0, 0, 3, 4, 2, 2, 4, 0, 4, 0, 3, 2, 1, 1, 4, 4, 4, 3, 4, 3, 0, 1, 1, 3, 2, 4, 2, 0, 0, 2, 0, 1, 0, 0, 4, 3, 0, 1, 0, 2, 4, 3, 0, 3, 3, 0, 1, 0, 0, 1, 3, 0, 0, 4, 0, 1, 4, 1, 0, 4, 2, 3, 1, 0, 2, 3, 4, 4, 1, 4, 1, 0, 0, 2, 3, 4, 0, 3, 0, 4, 3, 0, 3, 2, 1, 3, 2, 1, 3, 0, 2, 2, 2, 4, 1, 1, 0, 1, 3, 2, 2, 3, 1, 3, 1, 2, 2, 4, 3, 4, 1, 2, 4, 3, 4, 3, 4, 1, 0, 0, 4, 1, 3, 1, 4, 3, 2, 4, 4, 3, 3, 2, 0, 1, 4, 0, 4, 2, 3, 4, 3, 4, 1, 3, 4, 2, 4, 4, 1, 3, 1, 4, 4, 4, 0, 4, 0, 4, 0, 1, 3, 1, 4, 0, 3, 2, 0, 0, 2, 4, 4, 0, 3, 2, 3, 3, 4, 2, 2, 1, 1, 2, 3, 3, 1, 0, 1, 4, 3, 0, 0, 1, 0, 3, 4, 0, 0, 3, 2, 1, 1, 4, 2, 2, 4, 0, 4, 3, 0, 2, 1, 3, 3, 1, 1, 3, 2, 4, 3, 4, 3, 1, 1, 3, 1, 3, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 4, 4, 1, 4, 0, 0, 4, 3, 3, 0, 2, 4, 2, 4, 1, 3, 3, 3, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2]
pubkeycol1354 = [4, 2, 2, 0, 3, 0, 4, 4, 1, 3, 3, 3, 1, 0, 2, 2, 4, 4, 1, 2, 0, 2, 2, 3, 3, 3, 4, 0, 2, 2, 4, 4, 0, 0, 1, 0, 0, 2, 0, 2, 2, 3, 3, 3, 0, 4, 1, 1, 4, 3, 4, 3, 0, 2, 4, 1, 0, 2, 1, 0, 4, 1, 1, 1, 0, 0, 3, 0, 1, 3, 0, 1, 0, 3, 0, 3, 0, 0, 1, 1, 2, 3, 1, 4, 2, 3, 4, 4, 2, 2, 3, 2, 0, 0, 3, 3, 1, 2, 0, 1, 1, 2, 2, 3, 0, 2, 1, 4, 1, 4, 1, 4, 1, 4, 4, 2, 1, 0, 2, 0, 3, 0, 4, 4, 2, 1, 4, 2, 1, 4, 3, 2, 0, 1, 1, 1, 4, 2, 4, 3, 1, 1, 4, 1, 4, 4, 1, 3, 3, 3, 1, 4, 0, 1, 4, 0, 2, 3, 0, 1, 0, 3, 3, 1, 0, 4, 0, 3, 4, 4, 3, 4, 4, 4, 0, 1, 3, 3, 0, 4, 2, 2, 2, 1, 2, 1, 0, 4, 4, 1, 0, 3, 2, 4, 0, 2, 1, 3, 1, 0, 3, 4, 0, 0, 1, 0, 4, 4, 4, 2, 2, 4, 2, 3, 2, 3, 2, 2, 0, 0, 4, 0, 4, 4, 4, 3, 3, 0, 2, 0, 4, 4, 3, 1, 1, 1, 3, 3, 0, 2, 0, 4, 1, 3, 1, 3, 4, 1, 0, 2, 1, 2, 1, 3, 1, 4, 1, 3, 3, 2, 3, 3, 0, 0, 2, 1, 0, 2, 3, 0, 0, 2, 0, 0, 1, 4, 0, 1, 2, 2, 1, 4, 3, 2, 4, 3, 1, 2, 3, 4, 2, 1, 3, 0, 1, 3, 3, 1, 1, 0, 0, 3, 0, 3, 1, 4, 2, 0, 1, 0, 3, 4, 3, 3, 1, 1, 2, 2, 2, 3, 4, 4, 1, 1, 2, 0, 0, 4, 0, 4, 0, 3, 4, 1, 1, 4, 2, 1, 0, 1, 4, 4, 3, 0, 2, 4, 2, 2, 2, 1, 1, 3, 1, 0, 3, 0, 4, 3, 2, 0, 0, 3, 4, 4, 2, 1, 3, 2, 0, 0, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 3, 4, 4, 0, 1, 4, 2, 4, 2, 3, 4, 1, 0, 3, 1, 1, 2, 3, 1, 4]
pubkeycol1355 = [1, 3, 3, 1, 3, 3, 3, 0, 2, 2, 4, 4, 1, 0, 2, 3, 0, 3, 1, 0, 3, 1, 2, 0, 0, 3, 2, 2, 2, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 4, 2, 3, 3, 3, 1, 3, 0, 0, 2, 1, 4, 1, 0, 0, 4, 3, 2, 4, 1, 0, 3, 0, 4, 0, 3, 4, 0, 1, 1, 1, 0, 3, 1, 3, 3, 1, 1, 1, 2, 2, 1, 3, 0, 2, 3, 2, 1, 3, 4, 3, 3, 3, 2, 0, 0, 4, 3, 2, 4, 1, 3, 4, 3, 1, 2, 3, 4, 0, 0, 3, 2, 1, 3, 3, 2, 2, 4, 0, 1, 2, 3, 2, 4, 3, 0, 3, 3, 0, 4, 3, 4, 0, 2, 4, 2, 4, 4, 4, 4, 2, 0, 2, 3, 0, 3, 0, 2, 2, 0, 3, 1, 4, 4, 0, 3, 0, 1, 0, 3, 2, 0, 3, 4, 2, 2, 3, 0, 1, 3, 4, 2, 2, 4, 0, 0, 4, 0, 2, 2, 4, 4, 3, 2, 0, 3, 3, 1, 2, 4, 4, 0, 4, 2, 2, 3, 3, 1, 4, 4, 0, 3, 3, 3, 3, 0, 4, 2, 2, 3, 1, 4, 0, 3, 2, 2, 0, 2, 1, 3, 2, 0, 1, 1, 0, 3, 2, 3, 1, 3, 3, 2, 2, 1, 4, 0, 4, 4, 1, 1, 2, 1, 4, 3, 4, 1, 2, 3, 4, 3, 2, 1, 1, 1, 3, 4, 3, 2, 4, 1, 2, 1, 0, 2, 0, 2, 2, 4, 0, 3, 3, 4, 3, 0, 3, 0, 0, 4, 3, 1, 2, 3, 2, 1, 3, 2, 0, 4, 1, 0, 4, 0, 3, 0, 0, 4, 4, 3, 4, 4, 0, 4, 1, 1, 2, 0, 3, 3, 0, 1, 4, 2, 2, 3, 3, 4, 0, 4, 4, 1, 4, 4, 0, 3, 3, 0, 1, 2, 3, 0, 2, 4, 2, 0, 4, 3, 1, 3, 3, 1, 2, 2, 0, 4, 2, 0, 4, 0, 0, 3, 3, 0, 0, 1, 1, 0, 4, 3, 3, 1, 3, 1, 1, 0, 0, 2, 0, 0, 2, 0, 4, 4, 3, 0, 3, 0, 2, 2, 4, 2, 3, 4, 3, 2, 0, 2, 2, 1, 0, 0, 3, 1, 2, 4, 3, 2, 1, 4, 1, 2, 3]
pubkeycol1356 = [1, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 4, 4, 0, 3, 1, 3, 3, 0, 2, 4, 1, 3, 4, 2, 2, 4, 2, 2, 2, 3, 2, 4, 3, 3, 1, 1, 3, 2, 2, 3, 3, 4, 2, 4, 4, 4, 2, 1, 1, 4, 3, 0, 2, 2, 4, 0, 2, 2, 1, 1, 0, 2, 3, 3, 2, 4, 2, 4, 1, 1, 1, 4, 3, 4, 4, 1, 4, 1, 1, 1, 4, 1, 2, 1, 3, 2, 1, 0, 4, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 3, 0, 4, 2, 2, 3, 2, 0, 1, 1, 3, 2, 0, 3, 4, 3, 3, 3, 2, 1, 2, 1, 4, 2, 4, 0, 2, 4, 4, 2, 3, 0, 4, 2, 3, 3, 4, 2, 1, 3, 1, 0, 0, 3, 3, 2, 2, 4, 2, 2, 0, 1, 1, 4, 4, 3, 2, 4, 1, 3, 3, 3, 4, 0, 1, 0, 3, 4, 4, 0, 1, 1, 3, 3, 0, 4, 4, 0, 3, 3, 3, 2, 2, 1, 2, 3, 0, 3, 3, 1, 0, 3, 4, 3, 4, 3, 4, 0, 4, 2, 1, 0, 1, 0, 3, 3, 1, 0, 2, 2, 0, 4, 3, 4, 4, 2, 2, 3, 1, 4, 0, 3, 0, 4, 3, 0, 0, 0, 2, 4, 0, 2, 2, 2, 0, 1, 4, 0, 1, 2, 4, 3, 1, 1, 2, 1, 4, 1, 0, 1, 2, 4, 2, 3, 2, 4, 4, 3, 3, 0, 1, 0, 2, 2, 4, 1, 2, 3, 0, 0, 0, 1, 0, 0, 3, 1, 0, 1, 0, 1, 2, 0, 0, 3, 0, 4, 0, 4, 1, 1, 0, 0, 3, 1, 4, 2, 0, 4, 3, 2, 1, 3, 4, 0, 2, 1, 0, 1, 4, 0, 3, 1, 3, 4, 1, 1, 1, 3, 0, 1, 2, 3, 4, 3, 2, 4, 2, 3, 4, 0, 1, 1, 4, 1, 1, 2, 1, 4, 2, 0, 3, 4, 2, 2, 2, 0, 1, 1, 1, 0, 1, 4, 3, 1, 2, 0, 1, 0, 3, 3, 3, 2, 4, 3, 3, 1, 2, 0, 2, 2, 2, 0, 2, 4, 3, 2, 1, 4, 0, 4, 0, 4, 2, 3, 3, 0, 2, 4, 0, 4, 3, 1, 3, 1, 0, 3, 0, 3, 0, 4]
pubkeycol1357 = [4, 1, 4, 4, 2, 4, 4, 4, 2, 1, 3, 4, 0, 0, 3, 0, 3, 3, 2, 1, 1, 4, 1, 0, 0, 1, 1, 4, 4, 1, 1, 1, 0, 4, 0, 3, 2, 4, 1, 3, 2, 4, 2, 1, 1, 1, 1, 1, 1, 3, 2, 4, 0, 0, 0, 4, 3, 3, 4, 0, 2, 2, 3, 1, 3, 1, 3, 1, 2, 0, 1, 1, 1, 4, 4, 2, 1, 3, 2, 3, 2, 1, 3, 1, 3, 4, 2, 3, 3, 4, 0, 1, 2, 0, 3, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 4, 3, 1, 2, 1, 0, 1, 4, 0, 4, 4, 1, 4, 1, 2, 4, 2, 1, 4, 2, 1, 3, 0, 0, 3, 4, 2, 3, 0, 0, 3, 4, 3, 4, 4, 0, 4, 1, 0, 1, 0, 3, 3, 2, 4, 0, 2, 0, 1, 0, 4, 1, 4, 4, 2, 1, 1, 1, 4, 4, 4, 4, 2, 3, 2, 3, 3, 3, 4, 1, 2, 4, 1, 0, 3, 3, 4, 4, 0, 1, 1, 3, 4, 1, 2, 1, 4, 3, 2, 2, 1, 3, 2, 4, 3, 3, 2, 1, 0, 3, 0, 1, 0, 3, 0, 2, 1, 1, 2, 2, 4, 2, 3, 4, 4, 3, 0, 2, 3, 2, 0, 0, 2, 0, 3, 3, 3, 3, 4, 1, 1, 1, 0, 1, 1, 1, 1, 4, 1, 2, 4, 2, 1, 3, 4, 4, 4, 0, 4, 4, 3, 3, 2, 4, 3, 2, 3, 1, 0, 3, 3, 0, 4, 1, 0, 4, 1, 4, 1, 2, 2, 1, 4, 0, 0, 0, 0, 1, 3, 2, 1, 4, 1, 0, 1, 0, 3, 3, 2, 4, 1, 0, 0, 3, 3, 0, 4, 4, 3, 0, 3, 4, 3, 0, 0, 3, 0, 1, 3, 2, 1, 2, 4, 4, 1, 3, 0, 1, 3, 4, 1, 3, 0, 3, 3, 0, 1, 4, 2, 3, 0, 1, 0, 2, 4, 1, 1, 0, 0, 0, 4, 2, 0, 1, 2, 3, 4, 0, 4, 3, 4, 3, 3, 1, 0, 2, 2, 0, 2, 3, 0, 0, 4, 0, 0, 2, 4, 0, 0, 0, 2, 1, 3, 2, 2, 2, 1, 3, 1, 0, 0, 1, 3, 4, 1]
pubkeycol1358 = [1, 2, 0, 4, 1, 2, 4, 3, 3, 2, 1, 4, 1, 0, 2, 4, 2, 1, 1, 3, 4, 2, 0, 3, 3, 2, 1, 0, 3, 1, 2, 3, 2, 3, 4, 0, 1, 4, 1, 3, 1, 4, 0, 3, 1, 1, 0, 0, 4, 0, 3, 0, 3, 1, 0, 1, 1, 4, 3, 3, 3, 2, 1, 4, 2, 3, 1, 3, 0, 3, 3, 0, 4, 4, 0, 4, 2, 0, 3, 0, 2, 3, 2, 4, 2, 2, 3, 4, 1, 1, 1, 3, 3, 2, 1, 3, 3, 0, 1, 3, 3, 4, 3, 1, 3, 2, 2, 0, 1, 2, 1, 1, 3, 0, 2, 4, 0, 0, 3, 2, 0, 2, 0, 2, 0, 4, 4, 2, 1, 0, 1, 2, 4, 2, 4, 2, 3, 3, 4, 2, 0, 0, 4, 0, 2, 2, 2, 4, 0, 1, 2, 3, 4, 2, 3, 1, 1, 4, 1, 3, 0, 0, 3, 3, 0, 2, 4, 3, 1, 0, 2, 4, 4, 1, 1, 0, 2, 2, 0, 3, 0, 2, 0, 4, 1, 3, 0, 1, 2, 3, 2, 2, 3, 4, 2, 3, 2, 2, 2, 3, 3, 0, 3, 1, 2, 0, 1, 0, 4, 3, 3, 0, 2, 4, 1, 3, 1, 1, 0, 0, 4, 3, 2, 2, 4, 1, 0, 0, 2, 1, 2, 1, 4, 1, 2, 4, 3, 1, 2, 0, 0, 2, 1, 2, 1, 3, 4, 4, 2, 2, 1, 1, 1, 3, 3, 2, 1, 2, 4, 0, 0, 4, 4, 0, 2, 0, 3, 4, 3, 2, 3, 3, 0, 3, 4, 1, 2, 0, 0, 1, 2, 1, 3, 0, 0, 2, 0, 1, 0, 4, 2, 1, 2, 4, 3, 1, 0, 1, 0, 3, 0, 3, 4, 1, 0, 1, 0, 3, 1, 4, 1, 1, 4, 2, 0, 0, 3, 4, 2, 3, 2, 1, 0, 0, 1, 0, 1, 2, 0, 3, 1, 4, 3, 3, 1, 3, 2, 1, 3, 3, 3, 0, 0, 2, 0, 4, 0, 0, 1, 1, 3, 4, 1, 3, 0, 0, 1, 4, 2, 3, 0, 0, 2, 2, 0, 3, 4, 0, 1, 4, 0, 1, 0, 0, 1, 1, 0, 2, 0, 3, 1, 1, 2, 1, 4, 0, 1, 0, 2, 1, 3, 3, 4, 2, 0, 0, 3, 4, 3, 2]
pubkeycol1359 = [4, 3, 1, 0, 1, 4, 4, 4, 1, 0, 4, 2, 0, 1, 4, 3, 1, 1, 1, 4, 3, 2, 2, 0, 4, 0, 3, 2, 4, 3, 0, 0, 3, 2, 1, 1, 1, 0, 1, 3, 0, 2, 1, 1, 0, 0, 2, 3, 4, 2, 4, 2, 4, 4, 4, 4, 2, 1, 1, 4, 1, 4, 0, 1, 4, 0, 1, 1, 1, 4, 3, 4, 1, 3, 0, 3, 1, 1, 1, 3, 1, 4, 2, 0, 0, 4, 3, 1, 3, 1, 3, 0, 3, 0, 2, 0, 4, 2, 4, 2, 1, 0, 1, 4, 1, 0, 0, 3, 3, 1, 3, 1, 0, 1, 2, 4, 3, 4, 1, 2, 0, 0, 0, 2, 0, 1, 0, 4, 3, 0, 2, 3, 0, 1, 1, 3, 1, 1, 2, 1, 4, 2, 2, 1, 1, 2, 2, 3, 2, 1, 2, 0, 4, 2, 1, 2, 2, 3, 2, 0, 1, 3, 1, 4, 1, 0, 4, 4, 1, 1, 0, 0, 1, 2, 1, 3, 1, 4, 4, 3, 0, 4, 4, 2, 0, 4, 4, 0, 3, 1, 4, 1, 3, 2, 4, 4, 0, 4, 0, 0, 1, 2, 4, 4, 4, 2, 3, 3, 4, 3, 2, 0, 1, 4, 4, 2, 4, 3, 3, 3, 3, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 4, 0, 3, 1, 2, 3, 0, 0, 0, 1, 4, 4, 4, 2, 1, 0, 3, 3, 1, 3, 4, 2, 0, 3, 2, 2, 4, 0, 4, 1, 3, 1, 1, 2, 2, 0, 1, 1, 4, 4, 0, 1, 2, 2, 3, 2, 1, 0, 2, 3, 2, 2, 2, 0, 1, 4, 3, 3, 2, 4, 1, 0, 2, 1, 0, 1, 4, 0, 2, 2, 2, 0, 0, 4, 0, 3, 4, 0, 2, 3, 2, 1, 4, 2, 1, 0, 0, 0, 4, 4, 4, 1, 0, 3, 4, 2, 2, 0, 3, 3, 1, 2, 1, 1, 1, 0, 0, 3, 2, 3, 0, 1, 2, 2, 2, 4, 3, 1, 2, 1, 2, 1, 4, 1, 2, 2, 0, 4, 4, 0, 0, 1, 1, 4, 0, 1, 2, 0, 0, 2, 0, 1, 4, 0, 3, 4, 3, 4, 3, 0, 4, 2, 1, 2, 0, 4, 1, 4, 1, 4, 4, 1, 0, 0, 3, 2, 0, 3, 0]
pubkeycol1360 = [3, 4, 0, 3, 4, 1, 2, 2, 0, 2, 2, 3, 4, 1, 1, 0, 1, 3, 4, 1, 3, 4, 4, 3, 2, 3, 2, 2, 3, 0, 4, 1, 4, 0, 2, 2, 0, 3, 1, 0, 4, 4, 3, 0, 4, 3, 4, 1, 0, 0, 4, 1, 3, 3, 1, 1, 0, 4, 2, 4, 1, 1, 2, 2, 3, 4, 4, 4, 2, 3, 3, 0, 0, 4, 0, 3, 3, 4, 3, 4, 2, 3, 3, 0, 1, 0, 1, 2, 4, 1, 3, 2, 1, 2, 0, 4, 3, 0, 0, 0, 3, 0, 2, 0, 2, 1, 2, 4, 2, 4, 2, 0, 1, 4, 3, 4, 2, 2, 2, 2, 0, 3, 0, 3, 0, 1, 4, 1, 4, 1, 0, 1, 3, 2, 3, 2, 3, 1, 0, 2, 0, 3, 4, 3, 1, 3, 1, 4, 0, 2, 2, 3, 1, 1, 0, 2, 1, 3, 4, 2, 1, 1, 2, 1, 1, 1, 4, 3, 0, 2, 2, 1, 1, 0, 1, 1, 3, 3, 4, 2, 0, 3, 0, 1, 3, 2, 0, 4, 1, 3, 2, 4, 3, 4, 3, 0, 4, 4, 1, 0, 2, 4, 4, 4, 1, 2, 3, 0, 4, 4, 2, 4, 4, 3, 3, 4, 4, 4, 1, 2, 1, 4, 0, 0, 3, 4, 1, 1, 2, 1, 1, 4, 0, 2, 1, 3, 2, 4, 3, 4, 0, 2, 2, 2, 2, 4, 0, 1, 2, 3, 0, 1, 1, 1, 3, 4, 1, 1, 1, 0, 4, 4, 0, 1, 1, 0, 0, 4, 3, 3, 3, 3, 0, 3, 3, 1, 4, 0, 0, 4, 1, 2, 3, 1, 0, 0, 3, 0, 0, 1, 2, 4, 3, 3, 3, 3, 0, 3, 2, 1, 1, 1, 0, 4, 3, 2, 0, 4, 3, 0, 1, 3, 2, 2, 2, 4, 0, 3, 3, 2, 1, 1, 2, 1, 1, 4, 2, 1, 3, 4, 2, 1, 3, 3, 3, 2, 3, 4, 2, 4, 3, 1, 3, 1, 3, 3, 4, 4, 3, 2, 3, 2, 3, 1, 0, 3, 1, 4, 0, 2, 3, 4, 2, 0, 0, 0, 3, 4, 0, 3, 2, 2, 3, 0, 4, 1, 1, 2, 4, 0, 1, 1, 0, 3, 4, 4, 2, 4, 4, 0, 1, 3, 2, 0, 4, 1, 2, 3, 3, 2]
pubkeycol1361 = [1, 4, 2, 1, 0, 4, 3, 1, 0, 4, 1, 2, 4, 4, 3, 3, 3, 0, 2, 4, 0, 3, 0, 0, 3, 0, 3, 2, 1, 4, 2, 0, 2, 0, 3, 4, 4, 0, 1, 4, 4, 3, 2, 3, 3, 0, 0, 0, 4, 1, 2, 1, 3, 0, 3, 2, 1, 2, 1, 3, 1, 1, 2, 4, 0, 0, 2, 0, 2, 2, 0, 2, 4, 4, 1, 2, 0, 4, 0, 3, 2, 3, 2, 0, 3, 2, 2, 4, 0, 2, 2, 0, 2, 2, 3, 0, 2, 0, 0, 1, 0, 4, 0, 4, 3, 3, 1, 1, 0, 1, 4, 1, 1, 3, 2, 2, 3, 3, 2, 1, 2, 0, 3, 4, 0, 1, 1, 4, 1, 4, 2, 2, 0, 1, 1, 1, 4, 1, 3, 0, 4, 4, 1, 0, 2, 1, 0, 4, 2, 1, 4, 2, 2, 1, 4, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 4, 4, 1, 0, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 3, 4, 3, 4, 0, 3, 1, 3, 0, 4, 0, 4, 2, 1, 1, 4, 3, 4, 4, 2, 1, 1, 3, 3, 3, 0, 0, 3, 3, 1, 0, 3, 4, 3, 0, 4, 1, 2, 2, 0, 4, 0, 2, 0, 3, 4, 4, 3, 1, 4, 1, 4, 3, 3, 4, 3, 4, 3, 1, 2, 0, 1, 0, 4, 1, 3, 3, 2, 4, 2, 1, 2, 4, 4, 2, 3, 4, 2, 3, 2, 0, 0, 4, 1, 0, 1, 2, 2, 2, 1, 4, 2, 2, 4, 0, 3, 0, 3, 4, 4, 4, 0, 4, 1, 0, 2, 1, 1, 3, 0, 3, 1, 3, 1, 0, 3, 4, 3, 4, 1, 0, 1, 0, 1, 4, 0, 1, 3, 3, 1, 4, 2, 4, 3, 3, 3, 2, 1, 1, 1, 4, 0, 2, 4, 4, 0, 3, 1, 0, 1, 2, 3, 4, 4, 1, 1, 1, 4, 2, 2, 4, 3, 1, 0, 0, 4, 3, 2, 4, 0, 1, 4, 0, 4, 3, 0, 0, 0, 3, 4, 3, 4, 1, 4, 3, 1, 4, 4, 3, 1, 4, 3, 0, 2, 1, 2, 3, 2, 4, 4, 3, 0, 3, 2, 0, 1, 3, 2, 2, 4, 0, 4, 2, 1, 1, 2, 1, 0, 2, 3]
pubkeycol1362 = [3, 4, 2, 2, 0, 4, 4, 2, 4, 2, 1, 1, 0, 4, 4, 2, 2, 0, 0, 4, 3, 2, 3, 4, 1, 2, 1, 4, 1, 2, 1, 0, 2, 3, 3, 0, 3, 4, 1, 1, 2, 0, 2, 4, 1, 2, 4, 1, 2, 2, 4, 1, 0, 3, 4, 2, 2, 1, 3, 2, 0, 3, 1, 2, 4, 2, 1, 4, 3, 2, 1, 2, 1, 4, 3, 3, 3, 4, 4, 3, 3, 2, 2, 2, 1, 0, 2, 4, 0, 3, 0, 4, 3, 1, 1, 0, 1, 3, 3, 1, 3, 3, 0, 1, 3, 4, 1, 4, 2, 1, 2, 1, 3, 3, 3, 2, 4, 4, 2, 4, 3, 1, 2, 2, 2, 3, 2, 3, 4, 2, 4, 1, 2, 3, 0, 1, 3, 3, 4, 3, 3, 3, 4, 4, 0, 0, 4, 4, 2, 1, 3, 2, 3, 3, 3, 0, 4, 0, 0, 4, 4, 2, 4, 1, 4, 0, 2, 1, 0, 3, 4, 3, 4, 2, 0, 1, 0, 3, 2, 1, 4, 2, 4, 2, 3, 0, 4, 3, 3, 2, 2, 3, 0, 4, 2, 0, 2, 3, 1, 2, 3, 1, 0, 4, 3, 4, 2, 0, 4, 4, 4, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 3, 4, 0, 2, 0, 4, 3, 4, 0, 4, 2, 2, 1, 2, 3, 0, 2, 4, 3, 4, 2, 4, 0, 0, 3, 2, 2, 1, 2, 4, 1, 0, 2, 2, 4, 3, 4, 2, 3, 2, 3, 3, 4, 0, 2, 3, 1, 3, 4, 4, 1, 3, 1, 1, 4, 1, 2, 1, 2, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 0, 4, 2, 2, 0, 3, 1, 2, 0, 0, 3, 3, 2, 4, 4, 2, 2, 0, 0, 0, 3, 2, 0, 0, 4, 4, 1, 1, 4, 2, 2, 4, 4, 3, 2, 4, 3, 4, 4, 3, 4, 1, 2, 4, 1, 4, 2, 1, 0, 1, 2, 2, 3, 4, 4, 2, 3, 3, 4, 4, 4, 0, 4, 4, 2, 3, 2, 2, 0, 3, 3, 2, 4, 4, 2, 0, 2, 4, 2, 2, 4, 3, 3, 0, 4, 0, 4, 1, 3, 4, 4, 3, 2, 4, 0, 0, 0, 2, 0, 0, 4, 3, 3, 0, 2, 0, 2, 4, 2]
pubkeycol1363 = [2, 1, 1, 2, 2, 2, 4, 4, 2, 1, 0, 4, 4, 0, 1, 1, 1, 0, 3, 4, 1, 4, 4, 2, 1, 4, 3, 1, 1, 2, 3, 2, 4, 3, 1, 2, 1, 1, 3, 2, 0, 4, 2, 4, 3, 3, 1, 2, 3, 2, 2, 2, 2, 1, 1, 4, 2, 1, 3, 4, 0, 0, 4, 1, 2, 1, 0, 2, 1, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 4, 1, 2, 1, 2, 4, 0, 0, 4, 1, 4, 2, 3, 1, 1, 4, 1, 1, 1, 1, 0, 3, 0, 2, 0, 1, 1, 3, 1, 4, 2, 1, 0, 2, 3, 2, 3, 3, 1, 4, 2, 2, 2, 2, 3, 1, 1, 0, 3, 1, 4, 3, 3, 3, 3, 2, 2, 4, 3, 3, 0, 0, 3, 1, 1, 1, 2, 1, 4, 0, 3, 2, 1, 2, 4, 2, 1, 3, 4, 3, 3, 3, 3, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 0, 0, 3, 2, 0, 4, 4, 1, 0, 4, 2, 3, 0, 4, 4, 3, 2, 0, 0, 3, 0, 1, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 3, 2, 0, 0, 4, 3, 1, 2, 0, 4, 1, 0, 0, 0, 0, 3, 3, 2, 2, 4, 4, 1, 0, 4, 1, 3, 0, 2, 3, 4, 2, 3, 1, 4, 3, 3, 0, 3, 0, 4, 0, 1, 0, 4, 4, 4, 1, 1, 1, 3, 2, 4, 1, 2, 2, 3, 4, 1, 0, 4, 2, 4, 1, 4, 3, 3, 4, 4, 0, 4, 3, 1, 1, 4, 3, 4, 4, 4, 1, 0, 1, 2, 1, 3, 4, 4, 0, 4, 3, 0, 4, 0, 2, 1, 3, 0, 2, 3, 1, 1, 0, 1, 4, 1, 3, 2, 2, 2, 4, 0, 1, 2, 2, 4, 1, 0, 1, 0, 4, 3, 1, 2, 4, 4, 4, 2, 2, 2, 1, 1, 0, 3, 2, 0, 4, 0, 0, 4, 4, 3, 3, 0, 4, 3, 3, 0, 0, 4, 1, 3, 1, 1, 1, 4, 4, 3, 2, 0, 3, 0, 1, 1, 2, 0, 2, 3, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 4, 2, 4, 0, 0, 2, 4, 3, 0, 0, 0, 1, 4, 2, 0, 2, 3, 1, 3]
pubkeycol1364 = [1, 4, 0, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 0, 0, 0, 0, 3, 2, 3, 0, 4, 4, 2, 0, 0, 4, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 4, 2, 1, 4, 2, 0, 4, 2, 0, 1, 4, 1, 3, 4, 3, 1, 2, 4, 3, 3, 1, 3, 1, 0, 1, 4, 4, 0, 1, 0, 4, 2, 2, 1, 0, 0, 1, 0, 4, 4, 0, 3, 4, 0, 0, 4, 2, 4, 2, 2, 4, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 3, 3, 3, 2, 2, 4, 0, 3, 2, 1, 2, 4, 1, 3, 3, 0, 0, 4, 3, 0, 3, 0, 4, 3, 1, 4, 1, 1, 2, 3, 2, 0, 2, 2, 0, 0, 2, 3, 3, 3, 4, 0, 2, 3, 4, 0, 0, 2, 1, 1, 3, 2, 4, 4, 0, 4, 0, 2, 1, 3, 0, 4, 0, 3, 1, 0, 1, 0, 2, 0, 4, 0, 4, 1, 1, 1, 2, 1, 0, 4, 0, 0, 3, 0, 4, 1, 0, 2, 0, 3, 0, 3, 1, 2, 0, 3, 4, 3, 3, 3, 4, 3, 1, 0, 0, 0, 1, 1, 3, 4, 2, 3, 0, 0, 2, 2, 3, 3, 2, 3, 2, 3, 4, 2, 3, 4, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 4, 2, 1, 2, 1, 4, 4, 1, 2, 2, 4, 3, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 3, 4, 0, 2, 2, 2, 4, 0, 2, 1, 2, 2, 1, 3, 0, 4, 4, 4, 1, 0, 4, 3, 0, 4, 4, 0, 1, 3, 0, 3, 4, 4, 0, 4, 0, 0, 2, 2, 3, 2, 3, 3, 4, 2, 2, 3, 0, 4, 3, 4, 3, 0, 2, 4, 4, 1, 3, 3, 3, 0, 2, 3, 3, 0, 2, 1, 4, 2, 2, 2, 2, 2, 3, 2, 3, 0, 3, 3, 3, 3, 4, 1, 0, 1, 3, 3, 4, 3, 4, 0, 2, 3, 2, 1, 0, 2, 2, 4, 3, 2, 1, 4, 3, 0, 0, 3, 2, 0, 3, 4, 3, 3, 1, 3, 2, 0, 2, 3, 0, 0, 2, 2, 1, 2, 1, 0, 1, 3, 2, 0, 2]
pubkeycol1365 = [4, 2, 1, 1, 2, 1, 1, 2, 0, 1, 4, 0, 0, 0, 2, 2, 2, 4, 4, 1, 4, 0, 3, 2, 0, 1, 2, 1, 4, 0, 2, 4, 0, 1, 2, 4, 3, 3, 4, 4, 3, 2, 4, 2, 0, 2, 3, 1, 2, 3, 0, 2, 4, 4, 1, 3, 0, 3, 3, 2, 0, 4, 4, 0, 2, 1, 1, 1, 4, 3, 1, 2, 3, 4, 1, 3, 4, 0, 4, 1, 3, 2, 0, 2, 4, 3, 1, 0, 1, 1, 4, 0, 1, 2, 3, 4, 2, 1, 3, 2, 3, 2, 0, 4, 0, 1, 3, 0, 1, 1, 1, 4, 2, 2, 1, 1, 2, 3, 2, 0, 3, 2, 3, 4, 1, 3, 1, 0, 3, 4, 4, 1, 1, 0, 4, 2, 1, 1, 3, 4, 2, 0, 1, 3, 3, 0, 3, 1, 3, 1, 1, 1, 1, 2, 4, 3, 0, 0, 4, 2, 3, 2, 0, 2, 4, 4, 0, 0, 3, 0, 1, 4, 2, 0, 3, 2, 2, 2, 4, 0, 4, 4, 2, 2, 3, 1, 0, 1, 2, 3, 4, 4, 1, 2, 3, 1, 4, 0, 0, 3, 0, 1, 1, 1, 0, 3, 3, 4, 3, 1, 2, 3, 0, 4, 4, 4, 0, 1, 2, 3, 3, 0, 2, 0, 4, 4, 4, 1, 4, 3, 3, 3, 1, 0, 3, 2, 4, 0, 2, 0, 3, 4, 0, 4, 1, 2, 4, 1, 2, 0, 1, 1, 4, 1, 4, 2, 2, 1, 1, 2, 3, 1, 4, 0, 0, 0, 1, 0, 2, 2, 3, 4, 1, 1, 1, 4, 4, 2, 3, 3, 2, 1, 0, 1, 3, 3, 1, 1, 4, 4, 0, 2, 4, 3, 0, 3, 2, 3, 2, 4, 3, 2, 2, 1, 1, 2, 3, 3, 0, 1, 0, 3, 2, 3, 1, 3, 4, 3, 2, 0, 2, 2, 0, 4, 3, 0, 2, 2, 4, 4, 4, 4, 1, 3, 1, 4, 0, 0, 2, 3, 1, 3, 1, 2, 4, 3, 1, 2, 4, 1, 3, 3, 1, 1, 1, 4, 1, 1, 4, 1, 2, 3, 0, 1, 1, 3, 0, 4, 0, 4, 4, 0, 4, 4, 2, 0, 1, 4, 0, 2, 1, 4, 2, 4, 1, 3, 3, 0, 4, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 3]
pubkeycol1366 = [4, 2, 1, 0, 3, 1, 2, 4, 2, 4, 4, 3, 2, 3, 3, 4, 1, 1, 3, 3, 2, 1, 0, 4, 0, 0, 2, 0, 1, 1, 4, 2, 0, 3, 4, 0, 4, 1, 3, 2, 4, 4, 3, 3, 4, 2, 1, 1, 3, 2, 0, 1, 2, 3, 1, 4, 1, 2, 2, 4, 1, 3, 4, 0, 1, 3, 2, 2, 1, 2, 4, 4, 3, 4, 4, 0, 1, 2, 3, 0, 1, 1, 3, 0, 0, 3, 1, 4, 3, 0, 0, 0, 4, 3, 0, 1, 3, 3, 4, 2, 1, 1, 0, 2, 1, 3, 2, 1, 1, 0, 3, 3, 0, 2, 1, 1, 2, 4, 0, 3, 1, 1, 3, 4, 4, 3, 2, 2, 2, 2, 2, 4, 4, 4, 2, 3, 4, 1, 3, 0, 2, 2, 0, 2, 0, 0, 4, 4, 3, 1, 1, 0, 2, 0, 3, 3, 1, 2, 2, 2, 0, 4, 1, 3, 0, 2, 1, 0, 0, 4, 1, 4, 2, 3, 1, 3, 1, 1, 4, 3, 3, 1, 1, 1, 2, 4, 3, 2, 2, 0, 4, 4, 2, 4, 4, 4, 1, 1, 4, 2, 2, 4, 1, 2, 1, 3, 2, 0, 1, 3, 1, 4, 0, 1, 0, 4, 3, 4, 2, 1, 4, 4, 0, 0, 1, 3, 4, 1, 3, 1, 0, 4, 1, 0, 2, 2, 4, 4, 0, 4, 0, 1, 4, 3, 2, 0, 1, 3, 1, 1, 3, 4, 2, 1, 2, 1, 4, 3, 0, 4, 1, 1, 4, 3, 2, 4, 4, 1, 4, 4, 4, 3, 0, 0, 4, 4, 3, 0, 1, 0, 3, 1, 3, 3, 0, 4, 3, 2, 3, 3, 2, 4, 0, 2, 3, 3, 2, 4, 0, 0, 0, 4, 4, 3, 1, 1, 0, 0, 2, 4, 4, 4, 3, 2, 4, 2, 1, 1, 2, 0, 0, 4, 1, 4, 4, 1, 0, 4, 0, 3, 2, 1, 2, 3, 0, 2, 4, 4, 4, 1, 4, 2, 1, 3, 0, 1, 3, 2, 2, 3, 0, 4, 4, 0, 2, 1, 4, 2, 0, 2, 1, 2, 3, 4, 4, 4, 3, 4, 0, 2, 1, 3, 1, 2, 2, 1, 0, 0, 1, 3, 3, 3, 1, 0, 4, 2, 2, 1, 4, 0, 2, 3, 3, 0, 3, 2, 4, 0, 1, 1]
pubkeycol1367 = [3, 1, 0, 4, 2, 1, 3, 1, 0, 3, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 4, 4, 3, 2, 0, 1, 1, 1, 2, 0, 3, 2, 0, 0, 3, 4, 4, 1, 4, 3, 3, 3, 1, 2, 0, 0, 3, 3, 3, 0, 4, 4, 4, 1, 0, 4, 3, 0, 4, 4, 3, 0, 2, 1, 2, 2, 0, 2, 1, 1, 3, 3, 0, 4, 1, 2, 2, 3, 3, 0, 1, 2, 2, 3, 4, 1, 2, 1, 3, 0, 2, 3, 3, 2, 4, 3, 0, 2, 3, 2, 1, 4, 4, 3, 0, 2, 4, 2, 2, 2, 1, 3, 1, 2, 0, 4, 2, 0, 0, 4, 4, 1, 4, 2, 3, 4, 0, 2, 1, 1, 3, 0, 3, 3, 1, 0, 3, 1, 2, 4, 1, 4, 0, 1, 3, 3, 3, 4, 0, 4, 1, 0, 2, 1, 3, 0, 0, 1, 0, 2, 1, 1, 2, 2, 3, 0, 2, 2, 4, 1, 1, 2, 3, 2, 2, 1, 2, 3, 1, 4, 3, 1, 3, 0, 0, 1, 2, 1, 2, 1, 0, 1, 4, 4, 0, 2, 0, 1, 2, 4, 1, 3, 1, 4, 1, 2, 4, 3, 2, 1, 2, 0, 3, 4, 2, 3, 2, 1, 0, 4, 2, 0, 4, 1, 1, 0, 3, 0, 4, 3, 1, 3, 1, 2, 3, 2, 3, 4, 2, 4, 0, 4, 3, 2, 4, 4, 3, 4, 4, 2, 3, 2, 0, 3, 1, 4, 1, 2, 0, 4, 3, 2, 4, 4, 1, 0, 0, 3, 4, 3, 0, 2, 2, 4, 4, 0, 3, 0, 2, 3, 0, 0, 1, 3, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 0, 2, 1, 4, 3, 2, 0, 3, 0, 1, 0, 3, 2, 4, 3, 4, 2, 0, 0, 0, 0, 3, 1, 0, 4, 0, 3, 4, 0, 3, 2, 4, 1, 4, 3, 2, 3, 4, 4, 4, 3, 3, 4, 3, 0, 0, 2, 2, 2, 4, 4, 1, 2, 4, 4, 2, 0, 0, 4, 1, 2, 0, 0, 2, 4, 4, 4, 3, 4, 1, 2, 2, 4, 4, 4, 0, 1, 3, 0, 1, 2, 2, 0, 1, 4, 4, 4, 3, 3, 1, 1, 0, 2, 3, 1, 1, 2, 3, 4, 0, 0, 4, 1, 3, 0]
pubkeycol1368 = [1, 1, 4, 3, 3, 4, 0, 0, 4, 1, 2, 1, 2, 1, 1, 4, 0, 1, 0, 1, 2, 2, 3, 2, 4, 4, 1, 3, 4, 3, 1, 3, 0, 2, 4, 0, 4, 3, 4, 4, 1, 0, 4, 3, 2, 0, 2, 0, 4, 1, 4, 2, 0, 0, 0, 4, 2, 3, 4, 3, 1, 0, 1, 4, 1, 2, 2, 4, 3, 0, 0, 4, 3, 1, 1, 3, 0, 4, 3, 2, 3, 4, 3, 1, 0, 3, 1, 0, 1, 0, 0, 4, 0, 1, 4, 3, 2, 0, 3, 4, 1, 4, 3, 1, 1, 1, 2, 4, 1, 4, 2, 2, 3, 0, 2, 3, 4, 1, 4, 3, 1, 4, 4, 1, 4, 0, 3, 4, 2, 1, 1, 2, 2, 0, 1, 2, 4, 2, 1, 4, 3, 3, 3, 3, 0, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 3, 4, 0, 3, 4, 1, 1, 1, 2, 3, 1, 1, 2, 0, 4, 2, 1, 3, 4, 1, 4, 0, 1, 2, 4, 1, 3, 2, 0, 4, 4, 3, 3, 2, 1, 0, 2, 3, 0, 2, 3, 0, 3, 0, 2, 1, 2, 4, 1, 2, 1, 2, 1, 0, 3, 0, 2, 4, 4, 3, 0, 0, 0, 3, 0, 2, 1, 1, 1, 2, 4, 4, 1, 4, 1, 2, 1, 2, 1, 4, 4, 3, 4, 0, 4, 3, 2, 3, 1, 0, 0, 2, 4, 4, 1, 2, 3, 4, 2, 0, 0, 1, 2, 0, 0, 4, 1, 1, 4, 2, 2, 4, 0, 1, 3, 1, 4, 1, 3, 3, 0, 2, 2, 1, 3, 0, 1, 2, 0, 3, 4, 1, 3, 3, 3, 2, 2, 3, 2, 0, 4, 1, 3, 1, 4, 0, 1, 1, 2, 2, 0, 4, 1, 2, 2, 4, 4, 1, 4, 2, 4, 1, 0, 0, 0, 3, 0, 0, 1, 3, 4, 1, 2, 4, 0, 2, 2, 2, 2, 3, 1, 0, 3, 2, 4, 2, 4, 0, 2, 3, 0, 3, 3, 1, 1, 4, 2, 0, 4, 4, 0, 4, 0, 1, 2, 3, 3, 2, 4, 4, 1, 2, 0, 0, 3, 2, 0, 3, 0, 2, 3, 0, 0, 1, 3, 3, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 0, 0, 4, 3, 4, 0, 3]
pubkeycol1369 = [3, 4, 0, 4, 4, 1, 4, 3, 4, 0, 2, 4, 3, 3, 3, 3, 4, 3, 4, 2, 2, 1, 0, 2, 2, 4, 4, 0, 2, 4, 2, 4, 0, 3, 1, 1, 4, 2, 2, 3, 2, 2, 2, 1, 3, 4, 0, 1, 3, 0, 4, 0, 3, 2, 2, 1, 2, 2, 2, 2, 0, 4, 2, 2, 3, 0, 3, 1, 3, 4, 3, 2, 2, 2, 4, 4, 0, 0, 2, 3, 3, 2, 3, 3, 3, 4, 1, 0, 3, 1, 2, 2, 2, 0, 3, 0, 3, 0, 4, 0, 2, 0, 2, 3, 2, 3, 2, 1, 4, 0, 0, 1, 0, 2, 4, 1, 2, 2, 3, 0, 3, 4, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 2, 4, 0, 4, 1, 2, 1, 3, 2, 0, 4, 4, 2, 3, 1, 4, 2, 1, 1, 1, 1, 1, 0, 2, 4, 0, 4, 0, 1, 1, 0, 1, 2, 1, 4, 3, 1, 3, 1, 1, 1, 2, 4, 1, 0, 3, 0, 3, 4, 4, 4, 2, 1, 1, 2, 0, 1, 4, 4, 4, 1, 1, 3, 3, 1, 1, 2, 3, 4, 2, 3, 2, 0, 2, 3, 0, 3, 0, 2, 3, 2, 1, 1, 1, 1, 0, 1, 2, 4, 3, 3, 1, 4, 1, 0, 2, 3, 1, 3, 0, 3, 2, 3, 4, 1, 3, 0, 1, 0, 2, 4, 4, 4, 2, 0, 2, 2, 2, 2, 2, 1, 0, 3, 2, 1, 3, 4, 1, 0, 3, 3, 4, 4, 1, 1, 4, 4, 1, 1, 3, 4, 2, 1, 3, 4, 0, 4, 1, 2, 2, 2, 3, 4, 4, 4, 1, 1, 0, 0, 3, 1, 1, 4, 0, 1, 2, 3, 1, 4, 0, 4, 4, 2, 2, 4, 4, 1, 4, 4, 3, 2, 0, 2, 2, 4, 1, 2, 1, 1, 2, 0, 1, 3, 1, 4, 0, 4, 4, 2, 4, 3, 2, 1, 1, 4, 4, 1, 4, 4, 0, 4, 1, 1, 4, 3, 3, 1, 4, 3, 3, 3, 1, 2, 0, 2, 2, 1, 2, 2, 4, 1, 0, 1, 1, 3, 2, 2, 1, 0, 0, 0, 4, 0, 0, 0, 4, 3, 1, 4, 3, 0, 0, 3, 4, 4, 2, 2, 1, 3, 0, 1, 4, 0, 4, 4, 4, 4, 3]
pubkeycol1370 = [0, 2, 3, 2, 3, 2, 1, 0, 4, 4, 0, 1, 2, 4, 3, 1, 2, 3, 3, 4, 2, 1, 4, 1, 1, 1, 3, 3, 0, 2, 3, 0, 3, 0, 4, 4, 1, 4, 1, 2, 3, 4, 3, 4, 2, 3, 3, 1, 2, 0, 2, 3, 1, 4, 4, 2, 1, 3, 4, 0, 2, 0, 4, 2, 1, 4, 2, 3, 3, 4, 1, 4, 0, 2, 2, 1, 0, 3, 3, 1, 3, 4, 3, 3, 2, 4, 3, 0, 0, 1, 2, 1, 0, 3, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 3, 1, 3, 0, 1, 0, 2, 2, 1, 3, 3, 4, 1, 1, 1, 2, 3, 3, 2, 4, 3, 4, 3, 3, 2, 4, 1, 2, 2, 3, 2, 3, 3, 3, 0, 0, 0, 3, 1, 2, 2, 0, 4, 0, 4, 0, 3, 3, 3, 2, 4, 1, 2, 3, 1, 0, 3, 4, 1, 4, 0, 2, 1, 0, 1, 4, 1, 2, 4, 3, 4, 2, 3, 1, 3, 1, 1, 0, 3, 1, 1, 3, 0, 1, 1, 4, 0, 0, 4, 0, 3, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 1, 0, 1, 3, 4, 2, 4, 3, 2, 2, 1, 3, 1, 0, 4, 3, 3, 1, 4, 2, 2, 0, 2, 1, 1, 4, 2, 3, 4, 2, 4, 0, 4, 4, 4, 3, 3, 3, 4, 3, 4, 2, 2, 0, 1, 1, 0, 3, 0, 2, 2, 4, 1, 2, 2, 1, 3, 4, 0, 4, 2, 3, 4, 2, 3, 4, 4, 3, 2, 3, 0, 4, 1, 1, 2, 4, 2, 4, 1, 0, 4, 1, 2, 1, 2, 0, 0, 0, 4, 2, 0, 2, 3, 2, 1, 1, 1, 2, 0, 2, 3, 0, 2, 0, 3, 0, 1, 1, 0, 4, 2, 1, 3, 1, 2, 3, 0, 3, 3, 3, 0, 4, 0, 0, 2, 3, 0, 2, 2, 4, 3, 0, 1, 2, 3, 3, 3, 0, 0, 3, 1, 4, 0, 3, 2, 3, 1, 2, 2, 0, 3, 0, 0, 4, 0, 1, 1, 2, 4, 3, 0, 4, 4, 3, 0, 2, 3, 0, 2, 1, 1, 2, 1, 2, 2, 0, 3, 3, 0, 2, 0, 3, 4, 3, 2, 4, 2, 0, 2, 0, 0, 3, 3, 2]
pubkeycol1371 = [3, 4, 4, 4, 2, 1, 3, 1, 4, 3, 0, 2, 4, 3, 4, 2, 0, 4, 1, 4, 4, 1, 4, 2, 2, 4, 0, 4, 1, 4, 0, 1, 3, 3, 2, 4, 2, 4, 4, 1, 1, 4, 4, 1, 0, 4, 2, 3, 1, 2, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 4, 1, 1, 4, 1, 2, 1, 4, 2, 2, 0, 1, 0, 2, 1, 4, 4, 2, 4, 3, 1, 2, 2, 0, 4, 4, 2, 1, 0, 2, 1, 2, 1, 2, 4, 0, 3, 2, 2, 3, 0, 1, 2, 4, 1, 3, 1, 1, 4, 1, 3, 4, 4, 0, 2, 2, 0, 1, 3, 2, 2, 1, 1, 4, 3, 2, 0, 2, 3, 4, 3, 3, 1, 1, 2, 2, 4, 4, 4, 3, 2, 2, 3, 0, 4, 2, 3, 2, 4, 3, 4, 3, 3, 2, 3, 4, 2, 1, 2, 3, 3, 3, 2, 4, 0, 0, 1, 4, 1, 1, 3, 1, 3, 0, 1, 0, 3, 2, 3, 1, 1, 3, 2, 3, 3, 2, 4, 0, 4, 0, 0, 3, 3, 1, 1, 0, 4, 1, 1, 0, 4, 4, 4, 0, 1, 0, 0, 1, 0, 0, 3, 4, 2, 0, 0, 2, 3, 0, 4, 4, 4, 3, 3, 1, 4, 2, 1, 4, 3, 4, 1, 4, 3, 4, 2, 4, 1, 3, 0, 2, 4, 1, 3, 2, 4, 4, 1, 0, 0, 3, 2, 3, 1, 2, 4, 2, 3, 2, 3, 3, 3, 2, 3, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 3, 0, 4, 1, 1, 3, 1, 2, 1, 2, 1, 3, 2, 3, 3, 2, 0, 3, 0, 1, 2, 2, 4, 0, 2, 4, 0, 4, 3, 0, 4, 2, 0, 3, 0, 0, 3, 4, 1, 0, 0, 4, 0, 4, 0, 0, 0, 1, 4, 2, 4, 0, 3, 2, 1, 3, 3, 4, 0, 4, 2, 3, 0, 0, 0, 2, 2, 3, 4, 3, 3, 0, 2, 0, 0, 0, 0, 4, 4, 0, 1, 3, 3, 0, 0, 4, 2, 4, 3, 4, 4, 0, 2, 3, 2, 1, 2, 3, 0, 1, 3, 1, 0, 0, 3, 0, 2, 3, 4, 3, 0, 4, 2, 4, 2, 2, 2, 3, 4, 0, 0, 2, 0, 3]
pubkeycol1372 = [0, 4, 3, 3, 0, 0, 2, 1, 4, 0, 3, 2, 0, 4, 1, 4, 0, 2, 2, 3, 3, 2, 3, 2, 0, 4, 1, 2, 0, 0, 3, 1, 2, 0, 3, 1, 1, 3, 1, 2, 3, 1, 3, 0, 0, 1, 1, 0, 0, 3, 3, 2, 1, 2, 1, 1, 2, 3, 1, 4, 4, 1, 0, 1, 4, 3, 4, 4, 4, 4, 1, 4, 3, 1, 4, 3, 3, 4, 4, 3, 1, 2, 3, 4, 3, 1, 3, 0, 1, 3, 3, 4, 1, 3, 3, 4, 1, 4, 0, 4, 4, 3, 3, 3, 3, 1, 0, 2, 2, 3, 2, 2, 0, 4, 4, 1, 0, 2, 1, 2, 2, 1, 4, 0, 1, 2, 0, 4, 2, 1, 3, 0, 2, 1, 0, 4, 1, 3, 1, 0, 0, 4, 1, 0, 4, 0, 3, 4, 1, 3, 0, 0, 3, 3, 1, 1, 2, 2, 4, 2, 3, 0, 2, 3, 4, 0, 1, 1, 4, 4, 1, 2, 3, 0, 4, 0, 3, 4, 0, 3, 1, 1, 2, 4, 0, 2, 0, 1, 0, 3, 0, 4, 0, 3, 1, 3, 1, 1, 2, 3, 0, 2, 0, 3, 0, 3, 4, 3, 0, 2, 3, 4, 3, 4, 0, 2, 1, 2, 3, 0, 4, 3, 3, 2, 0, 4, 1, 4, 2, 4, 4, 0, 0, 4, 3, 3, 2, 1, 3, 2, 1, 0, 2, 0, 2, 1, 0, 3, 4, 3, 1, 3, 3, 4, 3, 0, 4, 2, 3, 4, 3, 4, 0, 3, 1, 1, 2, 2, 3, 1, 2, 3, 1, 4, 0, 4, 1, 1, 4, 3, 4, 3, 2, 3, 0, 4, 1, 1, 2, 3, 0, 0, 1, 1, 4, 2, 4, 4, 1, 3, 3, 4, 3, 0, 1, 4, 0, 0, 3, 1, 2, 4, 2, 2, 0, 0, 2, 2, 0, 3, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 4, 2, 3, 3, 0, 3, 2, 3, 2, 4, 4, 0, 1, 1, 4, 0, 0, 3, 0, 2, 1, 2, 3, 1, 1, 3, 3, 4, 4, 1, 3, 4, 1, 0, 4, 3, 3, 0, 4, 0, 0, 4, 4, 1, 2, 2, 2, 3, 2, 4, 0, 0, 3, 4, 0, 2, 3, 2, 2, 0, 1, 1, 4, 4, 1, 1, 1, 3, 4, 2]
pubkeycol1373 = [0, 2, 4, 4, 2, 3, 0, 4, 0, 0, 4, 1, 1, 3, 2, 4, 0, 3, 0, 2, 2, 0, 0, 1, 3, 2, 3, 4, 0, 1, 3, 2, 4, 1, 3, 0, 2, 3, 0, 2, 2, 4, 0, 0, 1, 3, 4, 2, 4, 2, 4, 0, 4, 3, 1, 3, 3, 4, 1, 4, 1, 3, 4, 0, 1, 1, 3, 2, 3, 1, 3, 4, 4, 2, 0, 1, 4, 0, 4, 0, 3, 1, 2, 4, 0, 2, 1, 1, 3, 4, 0, 4, 1, 2, 0, 3, 3, 2, 4, 3, 1, 3, 3, 4, 1, 3, 0, 3, 4, 3, 2, 3, 4, 0, 0, 3, 3, 2, 3, 4, 4, 2, 1, 2, 1, 2, 2, 0, 2, 4, 1, 1, 1, 2, 2, 3, 0, 3, 2, 1, 4, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 3, 4, 4, 3, 1, 0, 3, 1, 4, 3, 3, 1, 0, 3, 1, 3, 0, 2, 3, 0, 4, 0, 0, 4, 1, 3, 1, 1, 4, 0, 2, 0, 4, 3, 3, 3, 4, 2, 2, 1, 0, 0, 0, 1, 3, 2, 0, 4, 4, 3, 1, 0, 3, 3, 4, 3, 1, 0, 0, 4, 4, 1, 2, 3, 2, 0, 1, 2, 1, 2, 4, 3, 3, 2, 4, 3, 4, 1, 2, 1, 3, 1, 2, 2, 3, 2, 4, 0, 1, 1, 1, 2, 3, 3, 3, 4, 1, 0, 2, 0, 1, 2, 2, 3, 1, 4, 2, 1, 1, 1, 2, 0, 1, 1, 3, 1, 3, 2, 0, 0, 4, 0, 4, 4, 2, 3, 0, 2, 1, 0, 1, 3, 2, 4, 4, 0, 2, 2, 0, 2, 2, 3, 1, 0, 2, 3, 1, 4, 2, 3, 3, 0, 4, 4, 2, 3, 3, 1, 4, 0, 0, 4, 4, 4, 1, 2, 2, 0, 3, 2, 3, 2, 4, 4, 4, 0, 4, 1, 3, 4, 1, 1, 3, 0, 1, 2, 4, 1, 2, 2, 0, 0, 3, 3, 1, 2, 2, 4, 3, 1, 4, 4, 1, 1, 4, 1, 2, 4, 3, 1, 2, 3, 0, 4, 1, 4, 1, 2, 3, 1, 3, 4, 0, 2, 4, 4, 1, 0, 0, 4, 2, 1, 1, 1, 2, 4, 1, 1, 0, 1, 4, 1, 0, 1, 4, 3]
pubkeycol1374 = [1, 1, 3, 3, 0, 3, 4, 2, 2, 1, 4, 4, 2, 0, 4, 3, 1, 1, 2, 3, 1, 0, 4, 0, 4, 0, 1, 0, 2, 1, 4, 4, 2, 3, 4, 0, 3, 0, 4, 0, 3, 1, 3, 3, 1, 1, 1, 4, 0, 3, 4, 4, 3, 0, 2, 2, 0, 0, 4, 1, 0, 3, 4, 2, 2, 1, 0, 2, 3, 4, 2, 4, 1, 4, 4, 3, 1, 1, 0, 3, 4, 1, 3, 0, 1, 3, 4, 0, 2, 1, 3, 0, 3, 4, 1, 2, 4, 3, 4, 0, 4, 1, 4, 1, 0, 0, 2, 2, 1, 1, 2, 1, 3, 1, 0, 3, 3, 4, 1, 2, 0, 2, 0, 3, 2, 4, 4, 3, 0, 2, 2, 0, 4, 1, 4, 4, 2, 1, 4, 1, 1, 2, 1, 4, 3, 4, 4, 2, 0, 4, 0, 0, 2, 2, 0, 3, 4, 1, 2, 1, 2, 4, 0, 0, 3, 4, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 3, 3, 2, 1, 4, 3, 4, 0, 0, 3, 1, 2, 3, 2, 4, 3, 3, 2, 4, 2, 4, 1, 3, 3, 2, 1, 4, 3, 2, 1, 1, 1, 4, 3, 3, 1, 0, 0, 0, 4, 0, 1, 1, 1, 2, 3, 4, 3, 4, 2, 4, 0, 1, 3, 3, 4, 1, 0, 4, 4, 1, 3, 4, 3, 4, 2, 4, 0, 3, 0, 1, 4, 2, 4, 4, 4, 0, 3, 4, 4, 3, 4, 3, 3, 4, 2, 0, 1, 1, 1, 3, 4, 0, 4, 4, 1, 1, 0, 2, 0, 0, 2, 2, 3, 1, 2, 1, 0, 4, 3, 3, 4, 2, 2, 4, 0, 4, 2, 4, 2, 4, 0, 1, 4, 1, 0, 1, 0, 3, 4, 0, 0, 0, 3, 1, 3, 0, 2, 4, 1, 4, 2, 4, 3, 3, 4, 1, 1, 3, 0, 2, 3, 3, 0, 3, 0, 1, 4, 1, 1, 3, 1, 1, 4, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 0, 2, 0, 0, 4, 2, 1, 4, 1, 0, 1, 2, 4, 3, 1, 4, 4, 1, 0, 1, 2, 1, 4, 0, 3, 4, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 4, 0, 3, 0, 2, 3, 1]
pubkeycol1375 = [0, 1, 0, 0, 3, 2, 3, 1, 2, 3, 0, 0, 0, 0, 1, 0, 3, 4, 3, 1, 3, 4, 2, 4, 0, 2, 0, 0, 0, 1, 0, 4, 4, 4, 2, 4, 3, 3, 4, 1, 1, 4, 2, 2, 2, 1, 1, 4, 4, 1, 0, 2, 1, 3, 3, 1, 3, 3, 2, 1, 1, 1, 0, 4, 2, 0, 3, 4, 4, 2, 3, 0, 1, 0, 0, 3, 2, 3, 1, 1, 3, 4, 4, 1, 3, 4, 4, 2, 4, 3, 4, 1, 1, 1, 2, 3, 4, 4, 0, 4, 2, 1, 4, 3, 0, 2, 4, 0, 2, 3, 4, 2, 3, 2, 0, 2, 1, 1, 4, 4, 2, 2, 2, 0, 3, 2, 3, 2, 4, 1, 1, 1, 3, 1, 0, 2, 0, 3, 4, 1, 3, 1, 0, 0, 4, 3, 0, 2, 1, 3, 1, 1, 0, 2, 0, 2, 3, 4, 0, 3, 2, 4, 0, 4, 0, 0, 3, 4, 1, 0, 0, 2, 1, 1, 2, 2, 3, 3, 1, 2, 4, 4, 4, 0, 4, 1, 0, 4, 0, 0, 1, 3, 1, 0, 1, 4, 0, 2, 2, 2, 2, 1, 2, 4, 2, 1, 4, 2, 0, 2, 1, 4, 1, 1, 3, 4, 0, 0, 0, 3, 1, 4, 1, 4, 4, 2, 2, 2, 1, 2, 4, 4, 3, 3, 3, 4, 4, 3, 1, 3, 1, 1, 3, 1, 1, 2, 1, 2, 4, 3, 0, 4, 2, 4, 0, 4, 2, 3, 1, 0, 4, 2, 2, 0, 2, 0, 1, 1, 2, 0, 3, 1, 2, 3, 2, 2, 4, 2, 1, 0, 3, 4, 1, 0, 2, 2, 2, 0, 3, 3, 2, 0, 2, 1, 1, 4, 2, 2, 4, 0, 2, 4, 2, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 4, 0, 2, 1, 3, 3, 4, 0, 3, 0, 0, 1, 1, 2, 3, 0, 0, 0, 1, 1, 4, 3, 2, 3, 2, 0, 4, 2, 4, 3, 0, 0, 4, 0, 2, 0, 0, 1, 3, 0, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 2, 1, 2, 3, 2, 1, 1, 1, 2, 4, 3, 0, 4, 1, 4, 2, 2, 3, 4, 1, 1, 1, 4, 0, 2, 3, 0]
pubkeycol1376 = [2, 2, 0, 0, 3, 1, 2, 4, 2, 0, 4, 1, 2, 3, 4, 0, 4, 3, 1, 2, 0, 1, 4, 3, 0, 3, 2, 2, 3, 2, 0, 1, 2, 2, 2, 4, 4, 4, 2, 4, 0, 3, 4, 2, 3, 4, 3, 3, 3, 1, 4, 3, 0, 3, 0, 4, 1, 4, 2, 4, 2, 3, 0, 0, 2, 1, 3, 0, 3, 3, 2, 4, 3, 0, 0, 1, 2, 4, 0, 3, 0, 0, 4, 0, 3, 4, 2, 2, 2, 2, 2, 4, 0, 2, 4, 2, 3, 1, 4, 1, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 0, 4, 2, 1, 1, 0, 1, 3, 0, 2, 1, 4, 2, 3, 3, 3, 2, 4, 4, 1, 0, 1, 4, 1, 3, 3, 3, 1, 4, 1, 4, 4, 1, 1, 4, 3, 4, 0, 0, 1, 3, 3, 0, 1, 2, 4, 0, 0, 2, 1, 0, 0, 2, 2, 3, 2, 3, 1, 4, 3, 0, 3, 2, 1, 4, 3, 0, 4, 3, 2, 4, 2, 4, 0, 3, 3, 2, 3, 2, 4, 0, 3, 0, 4, 2, 3, 4, 4, 3, 0, 3, 0, 2, 2, 4, 4, 1, 0, 4, 4, 1, 3, 3, 1, 4, 1, 3, 3, 0, 1, 0, 0, 4, 3, 0, 1, 3, 1, 0, 0, 2, 2, 2, 2, 4, 0, 0, 1, 2, 4, 3, 0, 2, 1, 3, 1, 4, 0, 1, 4, 2, 3, 4, 4, 4, 1, 3, 0, 4, 1, 3, 3, 2, 2, 4, 0, 0, 4, 3, 0, 4, 2, 0, 3, 0, 2, 3, 4, 3, 3, 1, 3, 1, 3, 4, 2, 1, 1, 2, 4, 2, 1, 0, 4, 3, 2, 4, 3, 4, 3, 0, 3, 2, 4, 1, 4, 4, 3, 3, 3, 1, 3, 1, 2, 1, 1, 1, 1, 3, 4, 0, 2, 1, 4, 1, 4, 4, 0, 4, 2, 2, 2, 4, 0, 2, 0, 3, 0, 4, 1, 0, 0, 4, 2, 3, 4, 0, 2, 0, 1, 2, 3, 2, 4, 1, 4, 1, 1, 0, 2, 4, 1, 1, 3, 1, 3, 4, 0, 2, 4, 2, 1, 2, 3, 4, 2, 2, 1, 1, 1, 2, 4, 3, 4, 3, 1, 4, 1, 0, 0, 3, 1, 3, 4, 4, 0, 3, 1, 1, 4]
pubkeycol1377 = [3, 0, 4, 4, 0, 3, 2, 1, 0, 0, 0, 1, 0, 4, 3, 4, 2, 2, 3, 0, 3, 2, 4, 3, 1, 2, 0, 0, 3, 1, 0, 3, 3, 4, 1, 0, 2, 4, 2, 0, 1, 4, 4, 3, 3, 1, 0, 3, 3, 2, 0, 1, 4, 1, 2, 3, 1, 0, 3, 2, 0, 4, 2, 4, 4, 3, 2, 4, 3, 0, 1, 4, 4, 3, 2, 1, 2, 3, 4, 2, 0, 1, 3, 3, 1, 1, 2, 4, 3, 1, 4, 4, 3, 0, 2, 4, 3, 2, 4, 0, 0, 1, 1, 2, 4, 1, 0, 2, 1, 4, 2, 3, 1, 4, 1, 4, 0, 2, 0, 3, 2, 3, 2, 4, 3, 3, 3, 3, 2, 4, 3, 2, 1, 0, 0, 1, 2, 2, 2, 3, 3, 1, 1, 2, 0, 3, 3, 0, 3, 3, 2, 0, 4, 4, 0, 1, 4, 1, 0, 2, 0, 2, 1, 2, 2, 1, 4, 3, 0, 2, 2, 3, 3, 4, 2, 2, 1, 3, 2, 4, 0, 4, 2, 1, 4, 2, 4, 1, 3, 3, 4, 2, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 2, 3, 1, 0, 1, 4, 4, 0, 3, 3, 3, 1, 3, 2, 1, 4, 0, 3, 3, 4, 1, 1, 0, 3, 3, 2, 3, 3, 3, 2, 1, 4, 4, 3, 3, 2, 0, 2, 4, 0, 0, 1, 2, 2, 2, 4, 0, 0, 3, 4, 1, 0, 1, 0, 2, 0, 1, 3, 0, 1, 1, 3, 0, 1, 0, 1, 3, 0, 1, 3, 0, 4, 2, 3, 2, 4, 0, 0, 1, 3, 0, 1, 0, 2, 2, 2, 0, 0, 0, 4, 0, 2, 3, 3, 1, 1, 4, 4, 1, 2, 3, 2, 0, 2, 0, 1, 1, 1, 3, 3, 3, 3, 2, 4, 2, 1, 1, 4, 2, 0, 4, 0, 4, 3, 0, 1, 1, 4, 4, 2, 2, 3, 1, 4, 1, 0, 0, 3, 3, 2, 3, 1, 4, 0, 2, 0, 2, 2, 0, 1, 4, 3, 1, 1, 4, 0, 3, 2, 3, 3, 2, 4, 0, 4, 2, 2, 0, 2, 2, 1, 1, 0, 4, 2, 4, 1, 3, 0, 3, 0, 1, 2, 3, 3, 0, 2, 0, 4, 2, 4, 4, 2, 0, 3, 2, 1, 4, 2]
pubkeycol1378 = [2, 0, 3, 2, 0, 4, 2, 3, 4, 3, 3, 3, 0, 0, 4, 4, 1, 4, 4, 3, 4, 2, 1, 2, 2, 4, 3, 4, 0, 4, 4, 0, 3, 0, 0, 1, 1, 4, 2, 0, 4, 4, 0, 3, 1, 1, 1, 3, 4, 4, 2, 4, 1, 4, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 4, 1, 4, 3, 4, 2, 3, 0, 2, 3, 4, 0, 0, 1, 3, 2, 0, 0, 2, 3, 1, 1, 2, 1, 3, 4, 3, 4, 2, 0, 0, 0, 3, 1, 1, 4, 4, 2, 0, 3, 0, 4, 3, 0, 0, 3, 2, 4, 3, 3, 0, 1, 1, 2, 3, 4, 2, 3, 0, 1, 4, 2, 1, 4, 3, 1, 2, 1, 3, 2, 3, 3, 0, 2, 2, 1, 1, 3, 2, 2, 0, 0, 2, 3, 0, 1, 2, 4, 4, 1, 1, 0, 4, 2, 3, 2, 2, 3, 3, 1, 1, 3, 1, 4, 2, 3, 1, 3, 0, 1, 3, 2, 3, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 4, 3, 2, 3, 3, 2, 4, 1, 2, 2, 4, 0, 0, 3, 3, 1, 4, 0, 1, 2, 4, 4, 2, 4, 1, 1, 1, 2, 4, 0, 0, 3, 0, 2, 2, 1, 1, 1, 2, 4, 3, 2, 1, 0, 4, 3, 1, 1, 2, 3, 2, 1, 1, 0, 4, 0, 0, 4, 0, 4, 1, 1, 2, 3, 2, 3, 2, 4, 2, 2, 0, 3, 3, 0, 2, 4, 2, 2, 4, 4, 1, 2, 1, 1, 3, 1, 0, 2, 4, 1, 3, 0, 0, 2, 0, 1, 0, 3, 3, 2, 2, 0, 3, 1, 2, 0, 3, 1, 4, 1, 0, 2, 4, 3, 2, 0, 1, 4, 0, 2, 0, 3, 3, 1, 0, 0, 2, 3, 0, 1, 2, 0, 0, 1, 3, 0, 0, 3, 3, 1, 4, 3, 4, 1, 1, 3, 1, 1, 0, 4, 2, 2, 0, 0, 1, 3, 0, 0, 2, 0, 3, 3, 4, 2, 2, 1, 3, 4, 0, 3, 0, 3, 0, 4, 2, 2, 0, 1, 4, 4, 3, 1, 2, 4, 0, 4, 0, 2, 4, 3, 4, 3, 1, 4, 0, 0, 4, 3, 3, 3, 3, 1, 3, 1, 3, 0, 4, 0, 4]
pubkeycol1379 = [2, 4, 2, 1, 1, 3, 0, 2, 1, 3, 2, 4, 4, 1, 1, 3, 3, 1, 0, 0, 3, 2, 4, 0, 1, 1, 1, 4, 1, 4, 2, 1, 0, 0, 4, 3, 0, 0, 2, 1, 2, 2, 3, 2, 2, 4, 4, 4, 2, 2, 2, 4, 3, 3, 2, 3, 3, 1, 1, 1, 2, 2, 0, 3, 3, 1, 2, 2, 1, 1, 0, 1, 0, 4, 1, 4, 1, 3, 3, 0, 1, 2, 3, 0, 2, 3, 2, 3, 2, 3, 2, 4, 1, 1, 4, 3, 0, 3, 3, 1, 3, 1, 1, 4, 4, 0, 1, 4, 4, 2, 0, 1, 1, 2, 4, 2, 2, 3, 1, 3, 0, 2, 4, 4, 1, 3, 1, 2, 1, 1, 0, 2, 3, 4, 3, 3, 0, 4, 4, 2, 3, 1, 3, 0, 4, 2, 3, 4, 0, 4, 2, 2, 0, 3, 2, 0, 1, 3, 3, 0, 4, 0, 2, 1, 1, 4, 3, 0, 1, 4, 2, 1, 1, 4, 4, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 4, 3, 0, 2, 3, 0, 1, 4, 2, 2, 4, 1, 0, 3, 0, 0, 0, 3, 3, 0, 2, 1, 1, 0, 1, 1, 3, 4, 3, 4, 2, 3, 3, 3, 0, 1, 4, 0, 4, 4, 1, 3, 3, 1, 0, 3, 3, 3, 3, 1, 1, 0, 0, 4, 0, 2, 1, 3, 1, 3, 0, 2, 0, 3, 4, 4, 2, 1, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 1, 3, 0, 1, 0, 2, 4, 3, 0, 2, 1, 3, 1, 0, 4, 0, 1, 3, 0, 1, 2, 4, 0, 1, 2, 2, 4, 2, 2, 2, 3, 2, 2, 0, 1, 2, 2, 3, 2, 3, 4, 1, 0, 3, 1, 3, 1, 0, 4, 1, 4, 4, 3, 2, 1, 4, 3, 0, 4, 3, 4, 2, 0, 4, 2, 3, 4, 2, 1, 0, 1, 3, 2, 3, 1, 1, 2, 4, 0, 4, 4, 3, 1, 4, 4, 4, 3, 4, 2, 2, 3, 2, 4, 1, 2, 4, 0, 3, 2, 0, 3, 2, 1, 4, 1, 4, 3, 4, 1, 0, 4, 2, 2, 2, 0, 3, 3, 4, 1, 1, 3, 0, 2, 0, 1, 4, 4, 1, 3, 1, 1, 4, 0, 2, 1]
pubkeycol1380 = [4, 0, 2, 3, 4, 2, 0, 3, 0, 3, 4, 0, 2, 3, 2, 3, 4, 1, 4, 0, 2, 2, 3, 4, 2, 3, 0, 2, 1, 4, 3, 3, 2, 2, 3, 0, 0, 2, 1, 1, 0, 4, 0, 3, 4, 2, 4, 3, 0, 0, 0, 4, 2, 3, 1, 1, 2, 2, 2, 2, 0, 4, 3, 1, 2, 4, 3, 3, 0, 4, 2, 0, 4, 0, 3, 0, 3, 0, 4, 1, 4, 1, 0, 3, 0, 1, 2, 4, 1, 0, 1, 2, 4, 4, 2, 1, 4, 2, 0, 2, 4, 3, 4, 0, 0, 4, 4, 4, 0, 4, 2, 3, 0, 4, 2, 3, 4, 4, 4, 0, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 2, 2, 3, 1, 4, 0, 3, 1, 1, 4, 2, 0, 4, 1, 2, 1, 2, 4, 0, 3, 3, 0, 0, 1, 4, 2, 2, 3, 1, 4, 1, 3, 4, 0, 0, 1, 1, 4, 4, 2, 4, 1, 2, 1, 3, 1, 1, 2, 2, 4, 0, 3, 3, 1, 1, 2, 4, 1, 2, 2, 1, 0, 3, 3, 1, 3, 2, 2, 4, 2, 3, 4, 4, 4, 4, 2, 3, 2, 1, 4, 3, 2, 0, 2, 4, 0, 0, 3, 1, 1, 4, 0, 4, 2, 4, 0, 2, 4, 3, 0, 1, 4, 3, 4, 1, 0, 4, 2, 3, 3, 2, 2, 4, 0, 3, 3, 3, 0, 2, 2, 1, 1, 4, 3, 4, 1, 0, 3, 4, 1, 1, 4, 0, 1, 3, 0, 0, 1, 4, 1, 3, 3, 4, 4, 3, 1, 3, 3, 2, 4, 0, 3, 3, 4, 3, 0, 3, 3, 3, 0, 1, 2, 4, 4, 4, 3, 0, 0, 3, 3, 1, 2, 2, 2, 2, 3, 4, 1, 0, 4, 2, 0, 2, 2, 2, 2, 4, 3, 0, 3, 0, 3, 0, 1, 4, 0, 2, 1, 4, 3, 1, 3, 2, 1, 3, 0, 0, 0, 3, 3, 1, 2, 1, 1, 4, 1, 3, 0, 0, 1, 4, 2, 2, 1, 1, 3, 4, 4, 3, 2, 0, 3, 1, 4, 0, 2, 2, 3, 1, 3, 2, 1, 0, 1, 3, 2, 0, 4, 1, 1, 1, 4, 1, 2, 2, 1, 1, 0, 4, 2, 4, 1, 1, 3, 0, 4, 0]
pubkeycol1381 = [3, 1, 0, 2, 3, 1, 4, 1, 4, 0, 1, 4, 3, 0, 2, 2, 4, 3, 1, 1, 0, 0, 4, 3, 0, 1, 3, 1, 3, 0, 0, 0, 1, 1, 2, 3, 2, 0, 4, 4, 2, 4, 4, 3, 4, 2, 4, 4, 2, 2, 3, 1, 1, 1, 0, 3, 2, 0, 0, 4, 2, 0, 1, 4, 3, 2, 0, 1, 0, 0, 0, 1, 0, 2, 4, 4, 4, 3, 4, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 4, 2, 1, 3, 0, 0, 0, 0, 3, 2, 2, 3, 4, 0, 1, 3, 4, 0, 3, 4, 2, 3, 3, 3, 4, 2, 2, 1, 4, 3, 2, 0, 4, 0, 3, 3, 4, 2, 0, 2, 4, 2, 1, 2, 1, 0, 3, 0, 4, 2, 3, 0, 3, 3, 2, 3, 1, 0, 4, 2, 0, 4, 1, 3, 3, 3, 2, 3, 1, 0, 3, 0, 1, 3, 1, 2, 0, 2, 3, 1, 2, 3, 2, 4, 2, 2, 2, 4, 3, 1, 1, 3, 2, 4, 0, 3, 0, 2, 0, 1, 1, 0, 4, 4, 4, 1, 1, 3, 4, 2, 3, 1, 1, 1, 4, 3, 0, 2, 0, 1, 4, 4, 2, 2, 4, 2, 4, 2, 0, 4, 2, 3, 2, 4, 4, 3, 2, 1, 0, 3, 0, 2, 0, 4, 0, 2, 4, 0, 3, 2, 4, 1, 3, 1, 0, 4, 1, 2, 3, 2, 2, 4, 1, 2, 4, 0, 0, 2, 4, 0, 3, 4, 4, 2, 0, 1, 4, 3, 3, 0, 3, 2, 3, 1, 3, 3, 1, 2, 0, 3, 0, 2, 3, 1, 4, 3, 0, 3, 4, 1, 1, 1, 3, 1, 1, 4, 2, 0, 3, 0, 1, 0, 4, 4, 1, 4, 0, 0, 3, 3, 1, 1, 0, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 3, 0, 1, 4, 2, 3, 4, 1, 0, 3, 0, 2, 3, 0, 1, 4, 4, 4, 1, 4, 2, 3, 1, 0, 3, 0, 2, 2, 0, 0, 0, 0, 3, 0, 4, 0, 4, 3, 3, 3, 1, 2, 0, 0, 2, 4, 2, 3, 1, 2, 3, 3, 2, 0, 1, 3, 4, 1, 1, 1, 3, 4, 0, 4, 0, 0, 3, 1, 0, 4, 4, 0, 0, 3]
pubkeycol1382 = [0, 2, 4, 2, 3, 3, 0, 4, 2, 3, 1, 3, 0, 4, 2, 1, 0, 1, 3, 1, 2, 3, 2, 3, 2, 4, 3, 2, 1, 3, 0, 0, 1, 0, 2, 3, 1, 3, 0, 0, 3, 3, 0, 4, 2, 3, 2, 2, 1, 1, 3, 2, 4, 3, 0, 2, 0, 1, 3, 1, 3, 3, 1, 2, 1, 0, 1, 3, 4, 1, 3, 0, 0, 0, 2, 4, 0, 3, 0, 4, 4, 0, 4, 3, 3, 1, 3, 4, 1, 0, 0, 1, 1, 4, 0, 4, 4, 2, 4, 3, 2, 2, 3, 3, 1, 0, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 3, 0, 4, 3, 3, 4, 0, 3, 4, 4, 2, 4, 3, 2, 4, 3, 0, 2, 4, 3, 3, 2, 1, 2, 4, 1, 4, 2, 3, 3, 2, 4, 0, 0, 0, 2, 1, 3, 4, 3, 4, 0, 1, 1, 3, 2, 4, 0, 0, 0, 1, 2, 2, 2, 3, 0, 0, 4, 2, 1, 0, 2, 4, 2, 0, 0, 0, 2, 4, 3, 0, 4, 1, 3, 0, 2, 1, 4, 1, 2, 1, 1, 3, 1, 1, 3, 0, 2, 3, 0, 0, 0, 0, 0, 3, 2, 0, 1, 1, 1, 3, 0, 1, 2, 1, 3, 1, 0, 3, 0, 0, 3, 0, 0, 1, 1, 2, 2, 4, 0, 0, 0, 3, 0, 2, 4, 2, 3, 2, 3, 3, 2, 4, 1, 0, 2, 4, 4, 2, 2, 2, 2, 0, 1, 0, 1, 0, 3, 2, 3, 1, 1, 3, 4, 0, 3, 4, 4, 3, 1, 3, 2, 4, 0, 1, 1, 3, 0, 0, 2, 4, 1, 3, 2, 0, 4, 1, 2, 1, 4, 4, 4, 2, 0, 4, 0, 1, 4, 0, 0, 1, 3, 1, 1, 4, 2, 3, 4, 3, 2, 3, 1, 0, 2, 4, 1, 4, 2, 4, 4, 0, 4, 0, 4, 1, 2, 2, 4, 0, 0, 3, 2, 2, 2, 3, 1, 0, 2, 0, 0, 2, 0, 1, 3, 0, 0, 1, 1, 1, 4, 2, 3, 4, 1, 0, 0, 3, 1, 3, 0, 4, 0, 3, 0, 1, 1, 0, 2, 4, 4, 4, 3, 0, 2, 3, 4, 0, 3, 2, 2, 1, 4, 3, 4, 2, 3, 1, 3, 3, 2, 0, 4, 2, 0]
pubkeycol1383 = [3, 1, 1, 3, 2, 2, 1, 0, 3, 3, 4, 4, 4, 3, 1, 3, 0, 2, 2, 1, 0, 2, 4, 4, 0, 0, 3, 0, 2, 4, 4, 4, 3, 3, 2, 0, 1, 0, 3, 3, 3, 3, 3, 0, 4, 0, 3, 2, 4, 0, 0, 2, 1, 2, 0, 4, 0, 0, 0, 2, 0, 3, 2, 2, 3, 2, 1, 2, 2, 4, 2, 4, 1, 2, 1, 3, 3, 3, 3, 2, 0, 4, 4, 4, 1, 4, 2, 2, 2, 0, 1, 2, 4, 2, 0, 1, 0, 0, 0, 0, 2, 4, 4, 1, 3, 0, 1, 2, 4, 3, 0, 4, 4, 1, 1, 2, 1, 3, 3, 3, 1, 3, 0, 0, 2, 1, 4, 1, 4, 4, 0, 1, 2, 4, 2, 4, 4, 3, 1, 1, 2, 4, 4, 0, 1, 3, 3, 2, 0, 1, 4, 4, 0, 3, 0, 3, 2, 3, 4, 0, 1, 3, 2, 1, 2, 2, 0, 2, 3, 2, 3, 1, 2, 0, 3, 4, 4, 1, 0, 3, 3, 2, 4, 3, 4, 2, 3, 3, 1, 2, 3, 2, 3, 1, 3, 4, 3, 4, 1, 3, 1, 0, 0, 1, 3, 4, 4, 0, 2, 2, 0, 1, 2, 2, 3, 4, 1, 0, 0, 2, 3, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 4, 0, 4, 3, 3, 4, 0, 2, 0, 0, 3, 3, 3, 3, 3, 1, 1, 4, 4, 0, 1, 4, 4, 4, 1, 2, 1, 3, 1, 3, 4, 3, 2, 0, 0, 4, 1, 3, 3, 1, 4, 3, 2, 0, 3, 1, 3, 2, 1, 0, 4, 4, 1, 3, 1, 4, 2, 3, 4, 3, 0, 4, 0, 1, 1, 1, 4, 4, 0, 2, 3, 1, 1, 0, 0, 2, 4, 3, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 4, 1, 1, 2, 2, 4, 3, 3, 0, 3, 3, 3, 0, 2, 0, 3, 4, 0, 4, 1, 3, 0, 1, 3, 1, 4, 4, 4, 3, 3, 0, 0, 0, 3, 4, 2, 0, 0, 1, 1, 3, 0, 1, 2, 4, 3, 2, 0, 3, 4, 0, 2, 4, 1, 3, 2, 2, 2, 3, 0, 2, 1, 1, 3, 0, 3, 0, 1, 3, 0, 4, 1]
pubkeycol1384 = [4, 0, 4, 1, 3, 2, 1, 3, 2, 3, 1, 4, 0, 3, 2, 1, 0, 2, 1, 3, 2, 3, 2, 2, 1, 4, 0, 3, 3, 3, 1, 4, 2, 1, 1, 2, 3, 1, 1, 3, 2, 1, 3, 4, 3, 4, 4, 0, 0, 4, 1, 4, 0, 1, 4, 3, 0, 3, 2, 0, 3, 0, 1, 0, 3, 1, 0, 2, 0, 0, 3, 4, 4, 4, 3, 1, 3, 1, 1, 3, 1, 0, 1, 2, 4, 2, 1, 0, 1, 1, 2, 4, 4, 1, 3, 4, 2, 3, 0, 2, 4, 0, 2, 1, 2, 2, 0, 2, 4, 1, 4, 3, 3, 1, 2, 3, 0, 0, 3, 0, 4, 2, 4, 4, 2, 0, 1, 0, 1, 4, 2, 4, 4, 1, 1, 3, 2, 2, 2, 0, 3, 2, 3, 1, 0, 3, 4, 0, 0, 0, 3, 3, 3, 4, 2, 2, 3, 1, 3, 2, 4, 2, 3, 2, 4, 3, 1, 3, 2, 2, 3, 1, 1, 4, 3, 4, 0, 4, 2, 1, 4, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 4, 3, 2, 2, 3, 2, 4, 2, 2, 1, 0, 4, 2, 0, 4, 4, 2, 3, 2, 0, 2, 4, 2, 1, 2, 0, 4, 1, 2, 0, 4, 3, 1, 0, 0, 0, 2, 2, 4, 4, 3, 0, 4, 0, 1, 1, 2, 2, 4, 3, 0, 1, 2, 1, 4, 4, 3, 4, 0, 1, 3, 4, 2, 3, 3, 1, 2, 3, 4, 4, 1, 2, 2, 2, 4, 0, 0, 1, 4, 2, 0, 1, 3, 1, 4, 1, 0, 3, 0, 2, 0, 2, 0, 1, 2, 3, 2, 1, 1, 3, 0, 3, 4, 3, 4, 4, 0, 0, 2, 4, 1, 2, 1, 3, 2, 1, 2, 1, 0, 1, 3, 3, 3, 1, 0, 3, 0, 3, 1, 4, 4, 0, 4, 4, 2, 2, 3, 4, 2, 2, 4, 4, 4, 3, 2, 3, 0, 1, 2, 2, 0, 2, 4, 0, 0, 4, 1, 1, 3, 3, 1, 4, 4, 0, 4, 2, 4, 1, 3, 0, 0, 1, 3, 3, 1, 2, 0, 1, 3, 0, 1, 4, 0, 0, 2, 2, 2, 4, 2, 3, 2, 3, 1, 0, 2, 2, 2, 4, 2, 0, 3, 1, 0]
pubkeycol1385 = [1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 3, 1, 2, 0, 1, 3, 1, 1, 2, 0, 0, 0, 4, 0, 3, 2, 3, 3, 3, 0, 1, 1, 3, 4, 2, 1, 3, 3, 1, 0, 4, 2, 1, 0, 2, 3, 0, 3, 4, 1, 4, 4, 4, 4, 4, 2, 1, 1, 4, 4, 3, 1, 4, 4, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 3, 1, 2, 3, 4, 2, 2, 4, 4, 3, 2, 1, 2, 1, 0, 0, 4, 3, 3, 1, 2, 2, 3, 2, 2, 0, 4, 1, 4, 3, 1, 0, 3, 1, 3, 2, 4, 3, 3, 0, 0, 1, 4, 4, 2, 0, 1, 3, 4, 2, 4, 2, 1, 4, 3, 0, 1, 3, 4, 2, 1, 3, 3, 2, 0, 3, 4, 4, 0, 0, 1, 4, 3, 1, 2, 1, 2, 4, 2, 1, 3, 4, 0, 1, 3, 1, 1, 0, 0, 2, 1, 3, 3, 2, 1, 4, 3, 1, 1, 0, 0, 0, 3, 1, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 4, 0, 4, 2, 1, 3, 0, 3, 0, 0, 3, 3, 4, 1, 0, 1, 0, 4, 3, 1, 1, 3, 2, 2, 0, 3, 4, 3, 3, 2, 0, 0, 4, 1, 4, 0, 2, 4, 0, 2, 1, 3, 1, 3, 1, 0, 2, 2, 2, 2, 0, 0, 1, 4, 1, 1, 4, 1, 3, 4, 4, 4, 3, 4, 2, 1, 3, 4, 1, 0, 2, 1, 4, 3, 2, 3, 2, 3, 4, 3, 4, 2, 4, 3, 4, 2, 3, 3, 0, 0, 4, 2, 1, 3, 1, 1, 3, 0, 1, 3, 4, 4, 4, 2, 0, 1, 2, 1, 3, 3, 2, 0, 3, 1, 4, 4, 2, 4, 2, 1, 4, 0, 0, 4, 2, 1, 4, 4, 3, 4, 0, 3, 2, 3, 3, 2, 3, 3, 3, 1, 0, 4, 3, 1, 2, 1, 1, 2, 3, 1, 4, 4, 4, 0, 4, 2, 1, 4, 2, 0, 3, 1, 1, 2, 0, 0, 4, 4, 2, 1, 1, 4, 4, 1, 2, 0, 1, 0, 4, 3, 1, 3, 1, 3, 0, 2, 2, 0, 2, 0, 4, 0, 3, 1, 0, 0, 4, 0, 1, 0, 4, 0, 1, 2, 1, 1, 1, 3, 2, 0]
pubkeycol1386 = [2, 2, 3, 3, 2, 4, 0, 3, 1, 4, 3, 4, 2, 4, 3, 4, 1, 4, 1, 1, 0, 0, 0, 1, 3, 0, 4, 1, 4, 1, 1, 4, 3, 4, 0, 1, 0, 3, 4, 2, 4, 2, 1, 2, 3, 4, 4, 0, 2, 3, 2, 4, 2, 0, 2, 3, 2, 1, 0, 2, 2, 3, 4, 4, 4, 1, 2, 0, 4, 3, 4, 0, 3, 4, 3, 3, 4, 4, 0, 3, 1, 4, 2, 3, 4, 2, 0, 3, 2, 4, 4, 0, 0, 1, 2, 0, 1, 2, 2, 3, 1, 2, 4, 4, 3, 4, 0, 2, 3, 3, 1, 2, 1, 1, 0, 2, 4, 1, 4, 3, 0, 1, 4, 2, 0, 2, 2, 2, 2, 4, 4, 4, 2, 0, 4, 1, 4, 2, 4, 4, 0, 1, 2, 1, 3, 0, 0, 0, 2, 3, 1, 4, 2, 1, 2, 0, 1, 2, 3, 0, 4, 2, 1, 0, 2, 3, 0, 3, 3, 2, 0, 0, 0, 0, 2, 3, 3, 0, 2, 4, 4, 3, 0, 2, 2, 2, 0, 1, 2, 3, 4, 2, 2, 4, 1, 4, 2, 4, 2, 1, 3, 0, 0, 1, 4, 2, 2, 3, 3, 0, 3, 2, 3, 0, 4, 0, 2, 2, 4, 3, 1, 3, 3, 3, 2, 1, 3, 3, 1, 4, 3, 3, 0, 1, 4, 1, 1, 1, 4, 0, 0, 1, 2, 0, 1, 3, 1, 1, 0, 2, 1, 3, 0, 1, 4, 1, 2, 1, 4, 3, 0, 0, 0, 3, 3, 1, 1, 3, 0, 2, 4, 3, 1, 2, 1, 3, 4, 2, 1, 2, 0, 3, 3, 1, 3, 2, 2, 4, 2, 2, 0, 3, 4, 1, 4, 2, 4, 4, 2, 1, 4, 3, 2, 3, 3, 2, 0, 3, 2, 0, 0, 2, 1, 4, 1, 4, 1, 3, 1, 2, 4, 1, 0, 1, 4, 2, 4, 0, 0, 0, 4, 2, 2, 1, 1, 3, 0, 2, 0, 0, 2, 2, 0, 1, 3, 3, 1, 0, 2, 3, 0, 0, 4, 1, 3, 0, 0, 0, 0, 3, 4, 3, 2, 4, 4, 3, 2, 3, 0, 2, 0, 4, 4, 0, 1, 4, 0, 3, 1, 2, 2, 2, 4, 4, 2, 0, 3, 2, 1, 2, 3, 3, 3, 2, 4, 0, 3, 2, 2, 2]
pubkeycol1387 = [1, 2, 1, 0, 3, 0, 0, 4, 3, 1, 0, 4, 3, 3, 0, 0, 0, 3, 4, 1, 2, 2, 3, 0, 0, 3, 3, 3, 1, 3, 2, 4, 3, 1, 4, 1, 1, 3, 3, 4, 1, 0, 0, 3, 3, 3, 3, 4, 2, 0, 3, 4, 2, 0, 4, 4, 0, 0, 3, 3, 2, 4, 3, 3, 3, 4, 4, 0, 4, 4, 0, 1, 2, 2, 0, 2, 4, 1, 1, 4, 1, 3, 2, 4, 1, 2, 4, 2, 2, 4, 0, 1, 0, 0, 0, 2, 1, 4, 1, 4, 2, 0, 0, 3, 0, 1, 1, 0, 0, 1, 2, 1, 4, 3, 2, 3, 0, 0, 0, 0, 0, 2, 0, 3, 2, 0, 2, 2, 4, 0, 3, 2, 0, 2, 1, 4, 0, 2, 0, 0, 4, 1, 2, 0, 1, 4, 4, 0, 3, 2, 3, 3, 2, 4, 3, 2, 3, 1, 4, 2, 3, 4, 2, 1, 3, 1, 4, 3, 4, 1, 0, 4, 3, 3, 3, 3, 0, 4, 3, 0, 3, 2, 4, 2, 2, 4, 4, 2, 1, 2, 2, 3, 2, 4, 4, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 0, 2, 3, 0, 0, 0, 1, 1, 4, 3, 0, 4, 2, 4, 0, 2, 3, 4, 4, 1, 0, 1, 0, 3, 2, 3, 4, 4, 4, 0, 1, 2, 0, 3, 0, 0, 3, 0, 2, 0, 1, 2, 0, 0, 2, 3, 4, 2, 4, 2, 0, 1, 4, 3, 4, 4, 4, 1, 1, 0, 4, 0, 2, 3, 1, 4, 2, 0, 2, 2, 4, 1, 2, 4, 4, 3, 0, 1, 2, 2, 4, 3, 0, 0, 4, 4, 0, 3, 4, 1, 3, 3, 4, 4, 4, 1, 0, 1, 1, 0, 4, 3, 1, 4, 1, 4, 3, 2, 3, 2, 4, 2, 1, 4, 3, 2, 3, 1, 0, 0, 3, 1, 3, 1, 3, 4, 4, 3, 0, 4, 4, 2, 3, 1, 0, 4, 1, 1, 0, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 1, 1, 4, 1, 4, 1, 0, 1, 2, 2, 4, 2, 4, 2, 4, 0, 3, 1, 1, 3, 4, 1, 1, 2, 2, 2, 0, 3, 2, 3, 0, 4, 1, 3, 1, 4, 4]
pubkeycol1388 = [0, 3, 3, 4, 0, 4, 0, 2, 1, 2, 4, 2, 1, 1, 0, 4, 3, 0, 1, 2, 1, 2, 3, 2, 2, 1, 4, 3, 2, 0, 3, 4, 0, 4, 0, 1, 3, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 3, 2, 4, 2, 1, 1, 0, 3, 3, 3, 0, 3, 4, 2, 2, 0, 1, 1, 0, 2, 4, 4, 4, 1, 4, 3, 0, 3, 0, 4, 0, 1, 4, 4, 4, 3, 4, 0, 0, 3, 1, 3, 4, 3, 2, 2, 0, 2, 3, 1, 1, 0, 4, 1, 1, 0, 3, 3, 2, 2, 3, 1, 0, 3, 4, 1, 3, 3, 1, 0, 3, 4, 1, 3, 2, 0, 3, 0, 3, 0, 3, 0, 4, 0, 2, 0, 3, 0, 3, 3, 2, 2, 1, 4, 1, 1, 1, 0, 3, 0, 0, 0, 0, 2, 0, 3, 1, 2, 4, 0, 4, 1, 2, 3, 2, 2, 0, 0, 0, 4, 0, 3, 0, 2, 2, 0, 2, 0, 3, 1, 0, 3, 4, 0, 2, 4, 2, 1, 1, 4, 4, 3, 1, 3, 2, 1, 1, 1, 3, 0, 4, 4, 4, 1, 3, 4, 2, 4, 0, 4, 4, 1, 3, 4, 4, 1, 4, 0, 2, 2, 0, 0, 2, 1, 3, 0, 1, 0, 1, 4, 3, 1, 4, 1, 3, 4, 2, 1, 3, 3, 3, 4, 2, 0, 1, 1, 2, 4, 4, 1, 0, 1, 3, 0, 2, 1, 1, 0, 4, 2, 1, 1, 0, 1, 1, 3, 0, 2, 2, 2, 0, 4, 1, 2, 3, 1, 3, 2, 4, 2, 1, 2, 1, 0, 2, 4, 1, 2, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 3, 4, 0, 1, 1, 0, 0, 1, 3, 1, 3, 0, 3, 2, 0, 0, 4, 3, 4, 3, 3, 3, 1, 4, 4, 3, 1, 4, 4, 0, 1, 2, 2, 1, 0, 3, 2, 4, 3, 3, 3, 4, 0, 3, 4, 2, 2, 1, 4, 0, 1, 3, 4, 1, 0, 2, 0, 1, 2, 4, 0, 1, 3, 3, 4, 4, 1, 3, 4, 0, 1, 0, 4, 0, 4, 0, 1, 4, 2, 3, 0, 2, 1, 2, 4, 2, 3, 1, 0, 4, 3, 1, 0, 1, 1, 3, 3, 2, 1, 2]
pubkeycol1389 = [0, 1, 1, 4, 0, 1, 1, 3, 3, 0, 3, 4, 0, 2, 3, 2, 4, 0, 4, 4, 0, 2, 3, 0, 3, 3, 2, 1, 2, 0, 2, 0, 3, 1, 1, 3, 1, 4, 0, 0, 0, 4, 2, 1, 0, 2, 0, 4, 4, 1, 4, 1, 4, 4, 1, 3, 0, 0, 0, 0, 2, 4, 1, 3, 3, 0, 0, 0, 0, 0, 4, 0, 4, 0, 1, 3, 1, 3, 0, 2, 3, 1, 4, 4, 0, 0, 3, 1, 1, 0, 3, 1, 1, 3, 3, 2, 0, 0, 3, 4, 4, 3, 2, 4, 1, 0, 4, 3, 0, 3, 2, 3, 3, 4, 0, 2, 4, 4, 2, 0, 4, 4, 4, 2, 4, 0, 2, 3, 3, 4, 0, 4, 4, 4, 3, 1, 2, 0, 1, 2, 4, 3, 1, 2, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 4, 1, 4, 1, 4, 3, 4, 2, 4, 4, 2, 1, 4, 0, 3, 3, 0, 4, 4, 2, 1, 4, 4, 2, 1, 3, 3, 3, 2, 1, 3, 1, 4, 4, 3, 4, 3, 1, 2, 2, 2, 1, 2, 2, 1, 2, 4, 0, 3, 4, 1, 1, 0, 4, 1, 1, 3, 2, 2, 3, 3, 3, 1, 2, 0, 4, 2, 2, 3, 1, 1, 0, 3, 0, 1, 0, 0, 1, 3, 4, 1, 2, 4, 0, 3, 2, 2, 0, 1, 4, 0, 0, 0, 2, 4, 3, 4, 2, 4, 1, 1, 3, 0, 4, 1, 4, 2, 3, 2, 4, 2, 4, 4, 4, 4, 2, 0, 3, 4, 0, 1, 2, 4, 0, 3, 3, 3, 2, 2, 2, 1, 4, 3, 3, 4, 3, 2, 1, 4, 2, 0, 2, 0, 2, 1, 0, 2, 0, 4, 0, 0, 0, 0, 3, 2, 3, 0, 1, 2, 0, 1, 4, 1, 0, 3, 1, 3, 2, 1, 2, 0, 1, 1, 3, 4, 2, 3, 2, 1, 2, 4, 2, 1, 2, 4, 1, 3, 3, 3, 4, 2, 2, 0, 0, 3, 3, 1, 3, 2, 0, 3, 4, 0, 0, 2, 4, 3, 4, 4, 4, 1, 2, 1, 4, 1, 4, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 3, 4, 1, 1, 3, 3, 1, 4, 4, 1, 4, 1, 0, 4, 3, 4, 1, 2, 4]
pubkeycol1390 = [2, 3, 4, 1, 4, 2, 4, 4, 4, 2, 4, 0, 4, 3, 3, 1, 2, 3, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 4, 4, 1, 1, 3, 1, 4, 4, 0, 3, 0, 0, 3, 4, 3, 3, 3, 3, 1, 1, 4, 1, 1, 2, 1, 4, 1, 4, 1, 2, 4, 1, 2, 0, 2, 3, 3, 4, 4, 4, 2, 4, 0, 3, 1, 2, 0, 4, 2, 1, 4, 0, 3, 3, 2, 1, 4, 2, 4, 3, 1, 1, 2, 3, 3, 4, 0, 1, 1, 1, 1, 4, 3, 1, 1, 1, 4, 3, 3, 2, 3, 0, 2, 4, 4, 3, 1, 0, 4, 1, 1, 4, 3, 2, 2, 1, 3, 2, 3, 4, 0, 2, 0, 0, 3, 2, 3, 4, 1, 3, 2, 1, 2, 2, 4, 0, 1, 0, 4, 0, 1, 4, 2, 4, 2, 1, 4, 0, 4, 0, 3, 1, 3, 3, 4, 3, 2, 4, 3, 2, 4, 1, 4, 1, 3, 2, 0, 3, 0, 4, 4, 0, 4, 3, 3, 3, 1, 0, 1, 1, 3, 4, 3, 2, 3, 1, 1, 0, 0, 2, 4, 2, 1, 4, 0, 1, 1, 1, 3, 0, 0, 2, 1, 3, 1, 4, 2, 3, 1, 1, 4, 1, 4, 1, 3, 3, 3, 1, 1, 0, 3, 1, 2, 2, 3, 3, 3, 0, 3, 3, 0, 0, 2, 2, 4, 2, 3, 2, 1, 4, 2, 4, 0, 0, 2, 4, 0, 1, 1, 4, 2, 1, 4, 3, 1, 1, 1, 3, 0, 4, 0, 4, 2, 0, 0, 2, 4, 3, 4, 1, 4, 1, 1, 0, 4, 0, 3, 2, 3, 3, 2, 3, 3, 2, 4, 2, 0, 4, 1, 0, 3, 2, 0, 1, 1, 0, 0, 0, 0, 1, 4, 4, 4, 1, 4, 4, 1, 0, 2, 1, 0, 4, 3, 2, 0, 2, 0, 1, 2, 0, 3, 4, 0, 4, 3, 1, 3, 4, 0, 1, 2, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 0, 2, 0, 1, 4, 2, 4, 1, 0, 4, 2, 3, 2, 0, 2, 4, 3, 2, 2, 0, 3, 0, 2, 3, 0, 0, 0, 4, 3, 3, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 4, 0, 1, 2, 3]
pubkeycol1391 = [4, 3, 2, 1, 1, 1, 4, 1, 3, 1, 3, 4, 4, 2, 1, 3, 4, 3, 3, 2, 3, 4, 0, 1, 3, 0, 3, 0, 1, 1, 4, 1, 3, 1, 3, 0, 1, 2, 4, 4, 3, 4, 1, 4, 3, 2, 0, 2, 4, 0, 3, 2, 2, 2, 4, 4, 4, 2, 2, 2, 3, 1, 0, 3, 3, 2, 0, 4, 3, 4, 2, 1, 2, 3, 1, 0, 3, 3, 0, 1, 1, 2, 4, 2, 2, 4, 0, 2, 1, 2, 4, 0, 3, 1, 2, 1, 1, 2, 0, 4, 3, 3, 2, 4, 4, 4, 2, 0, 3, 3, 3, 4, 4, 3, 3, 1, 1, 1, 2, 4, 2, 1, 0, 3, 3, 0, 2, 3, 4, 2, 0, 1, 3, 2, 2, 1, 1, 4, 2, 3, 2, 1, 2, 0, 3, 0, 4, 4, 2, 4, 3, 4, 2, 0, 4, 2, 4, 1, 3, 0, 0, 0, 4, 4, 3, 1, 3, 4, 4, 2, 2, 0, 4, 2, 3, 0, 0, 1, 1, 4, 2, 2, 1, 0, 3, 3, 3, 0, 0, 2, 3, 2, 0, 1, 2, 3, 3, 0, 3, 1, 1, 1, 0, 3, 4, 1, 3, 2, 2, 0, 4, 0, 1, 1, 1, 0, 3, 3, 1, 4, 2, 3, 1, 3, 3, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 3, 4, 0, 2, 1, 2, 0, 4, 4, 0, 0, 3, 3, 2, 1, 3, 0, 3, 4, 3, 2, 3, 2, 2, 4, 1, 1, 4, 3, 3, 1, 2, 0, 0, 1, 3, 2, 1, 3, 3, 2, 4, 1, 3, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 2, 1, 4, 0, 4, 4, 4, 2, 3, 0, 3, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 4, 3, 3, 4, 3, 1, 3, 2, 1, 4, 3, 4, 3, 1, 2, 4, 1, 0, 1, 1, 3, 2, 1, 3, 4, 4, 4, 2, 1, 2, 2, 0, 0, 4, 4, 2, 2, 2, 4, 1, 4, 3, 1, 1, 3, 0, 2, 0, 3, 4, 0, 0, 0, 4, 1, 3, 0, 0, 1, 1, 2, 4, 1, 2, 1, 4, 2, 2, 0, 4, 3, 4, 1, 2, 4, 3, 1, 1, 0, 4, 0, 3, 0, 1, 1, 2]
pubkeycol1392 = [2, 4, 2, 3, 4, 1, 4, 0, 2, 3, 1, 1, 1, 4, 3, 4, 3, 4, 0, 1, 2, 2, 1, 2, 1, 4, 3, 0, 1, 0, 0, 1, 1, 3, 2, 4, 1, 0, 4, 2, 4, 4, 2, 4, 0, 4, 0, 1, 0, 4, 4, 4, 3, 1, 4, 2, 4, 2, 1, 2, 1, 2, 1, 2, 4, 4, 4, 3, 4, 1, 0, 2, 1, 1, 0, 4, 3, 1, 0, 2, 3, 1, 2, 2, 2, 4, 2, 4, 2, 4, 1, 1, 1, 4, 0, 2, 4, 3, 0, 1, 4, 0, 4, 0, 1, 0, 3, 2, 0, 4, 0, 1, 1, 1, 3, 3, 4, 3, 3, 3, 2, 2, 3, 0, 2, 1, 0, 2, 4, 0, 2, 2, 0, 2, 3, 2, 2, 1, 1, 0, 3, 3, 1, 2, 4, 2, 3, 4, 2, 4, 3, 0, 1, 3, 2, 2, 1, 1, 1, 2, 3, 0, 4, 0, 4, 4, 2, 0, 0, 1, 4, 1, 3, 3, 4, 0, 2, 0, 3, 1, 0, 3, 4, 4, 2, 2, 2, 3, 1, 0, 3, 2, 3, 3, 1, 1, 1, 4, 0, 3, 0, 1, 1, 1, 4, 1, 3, 4, 1, 3, 2, 1, 0, 4, 2, 0, 4, 1, 2, 2, 4, 1, 1, 1, 4, 0, 0, 2, 0, 4, 4, 1, 1, 2, 4, 4, 0, 3, 4, 0, 4, 4, 3, 1, 3, 2, 1, 1, 1, 1, 2, 0, 3, 0, 3, 0, 3, 0, 4, 4, 1, 3, 2, 4, 2, 2, 3, 0, 4, 0, 1, 0, 2, 2, 4, 2, 2, 0, 2, 4, 0, 4, 4, 1, 4, 4, 0, 3, 4, 4, 3, 0, 2, 1, 3, 2, 1, 0, 4, 1, 0, 2, 4, 2, 3, 3, 3, 3, 2, 2, 3, 4, 2, 1, 2, 0, 0, 1, 0, 3, 0, 2, 4, 3, 4, 2, 4, 2, 3, 1, 0, 0, 2, 3, 3, 1, 2, 2, 2, 1, 3, 0, 3, 1, 2, 4, 0, 3, 3, 2, 4, 1, 0, 1, 2, 4, 3, 2, 3, 2, 3, 4, 3, 2, 3, 3, 0, 1, 4, 2, 3, 3, 0, 0, 4, 0, 3, 2, 3, 3, 2, 4, 4, 1, 4, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 3, 2, 0, 4, 2]
pubkeycol1393 = [3, 3, 3, 1, 2, 4, 1, 0, 3, 4, 1, 4, 0, 3, 0, 4, 4, 3, 4, 2, 2, 1, 0, 0, 4, 1, 0, 1, 1, 4, 3, 4, 1, 3, 2, 0, 0, 0, 1, 0, 0, 2, 0, 4, 4, 2, 2, 0, 2, 0, 4, 4, 1, 4, 3, 1, 0, 4, 2, 3, 2, 2, 4, 2, 4, 4, 4, 0, 4, 3, 1, 1, 1, 0, 4, 4, 0, 4, 2, 1, 3, 1, 3, 1, 1, 0, 2, 4, 3, 2, 0, 3, 0, 2, 4, 4, 0, 0, 1, 3, 0, 2, 0, 1, 4, 4, 0, 1, 4, 1, 4, 3, 0, 3, 0, 4, 0, 2, 2, 0, 4, 0, 4, 2, 0, 1, 1, 1, 1, 4, 2, 1, 0, 1, 2, 2, 4, 3, 3, 0, 1, 1, 4, 1, 0, 3, 3, 1, 4, 2, 1, 4, 4, 1, 0, 1, 4, 2, 0, 4, 0, 4, 2, 0, 0, 3, 4, 4, 4, 4, 1, 4, 2, 3, 4, 2, 3, 2, 4, 1, 0, 1, 2, 4, 0, 3, 1, 4, 2, 4, 0, 2, 0, 3, 1, 3, 0, 1, 1, 0, 4, 0, 3, 3, 0, 3, 2, 2, 3, 0, 0, 0, 3, 2, 1, 2, 3, 3, 3, 4, 0, 1, 3, 1, 1, 2, 2, 1, 3, 3, 4, 2, 4, 0, 1, 1, 3, 3, 2, 2, 3, 4, 2, 1, 3, 2, 2, 2, 3, 0, 1, 0, 3, 1, 3, 4, 2, 1, 4, 3, 2, 0, 3, 3, 4, 4, 0, 0, 2, 3, 0, 4, 1, 2, 0, 2, 4, 1, 4, 1, 2, 1, 4, 3, 3, 4, 0, 4, 4, 3, 1, 1, 2, 0, 3, 0, 1, 1, 3, 3, 4, 3, 2, 3, 1, 2, 2, 2, 0, 1, 1, 4, 1, 1, 0, 4, 1, 0, 4, 1, 1, 3, 0, 1, 4, 1, 2, 3, 4, 2, 1, 0, 2, 1, 4, 3, 3, 0, 3, 1, 1, 1, 4, 4, 2, 4, 0, 2, 3, 3, 3, 4, 4, 1, 3, 4, 2, 2, 1, 2, 3, 0, 2, 3, 4, 4, 0, 0, 1, 2, 4, 2, 4, 3, 2, 2, 4, 0, 2, 2, 2, 1, 2, 1, 4, 1, 4, 2, 4, 1, 1, 4, 2, 0, 1, 3, 2, 1, 3, 1]
pubkeycol1394 = [4, 0, 1, 0, 1, 1, 2, 0, 2, 2, 3, 0, 0, 0, 3, 3, 3, 2, 3, 0, 1, 3, 0, 0, 2, 1, 1, 4, 1, 3, 2, 4, 2, 3, 2, 1, 1, 4, 0, 1, 0, 1, 1, 2, 0, 2, 2, 3, 1, 3, 0, 0, 4, 4, 3, 0, 0, 3, 3, 4, 4, 3, 1, 4, 0, 0, 4, 1, 3, 2, 0, 4, 4, 0, 1, 4, 3, 1, 4, 0, 4, 1, 0, 3, 1, 3, 0, 4, 2, 4, 4, 3, 3, 2, 3, 2, 2, 1, 2, 4, 3, 1, 3, 4, 3, 3, 1, 0, 0, 0, 4, 4, 1, 1, 1, 4, 3, 0, 4, 0, 1, 3, 4, 3, 2, 0, 2, 3, 0, 3, 1, 3, 4, 4, 1, 4, 3, 2, 0, 4, 1, 1, 4, 4, 1, 3, 4, 0, 0, 0, 0, 2, 1, 1, 4, 1, 2, 2, 0, 1, 1, 4, 1, 1, 3, 0, 3, 0, 3, 4, 1, 3, 1, 3, 4, 2, 1, 1, 0, 3, 2, 3, 3, 0, 4, 0, 4, 3, 2, 3, 0, 3, 3, 1, 4, 3, 1, 0, 1, 1, 4, 2, 1, 4, 2, 1, 3, 1, 2, 3, 2, 4, 3, 3, 4, 1, 3, 1, 3, 1, 0, 4, 4, 0, 3, 0, 1, 2, 4, 0, 0, 4, 4, 0, 1, 2, 3, 2, 3, 0, 1, 2, 3, 4, 0, 2, 4, 2, 0, 0, 3, 1, 4, 2, 4, 3, 0, 0, 4, 2, 2, 3, 4, 0, 1, 0, 2, 3, 4, 0, 0, 0, 1, 2, 1, 0, 3, 1, 2, 1, 0, 2, 3, 1, 3, 2, 3, 4, 1, 2, 0, 4, 1, 0, 4, 1, 1, 0, 4, 0, 0, 4, 2, 4, 4, 0, 0, 3, 4, 1, 2, 2, 1, 3, 4, 2, 1, 0, 1, 0, 3, 0, 3, 3, 4, 0, 0, 1, 2, 2, 2, 0, 4, 2, 4, 4, 3, 1, 0, 4, 0, 2, 4, 3, 0, 4, 3, 3, 0, 1, 3, 3, 3, 3, 0, 1, 3, 0, 3, 4, 0, 2, 1, 3, 2, 2, 0, 0, 4, 0, 1, 1, 3, 0, 3, 1, 4, 4, 0, 3, 4, 3, 1, 2, 1, 0, 3, 0, 2, 1, 1, 0, 4, 2, 0, 1, 2, 0, 4, 0]
pubkeycol1395 = [2, 3, 4, 2, 4, 2, 4, 3, 3, 3, 0, 2, 2, 0, 3, 2, 1, 0, 3, 3, 3, 4, 3, 0, 1, 1, 4, 0, 1, 3, 0, 3, 2, 1, 1, 4, 3, 1, 2, 3, 3, 2, 4, 0, 2, 0, 2, 2, 2, 0, 1, 4, 3, 3, 1, 1, 3, 3, 4, 2, 1, 1, 3, 2, 3, 3, 4, 0, 4, 4, 4, 4, 3, 1, 0, 0, 4, 4, 2, 4, 2, 4, 4, 4, 3, 0, 2, 0, 3, 4, 1, 0, 2, 4, 4, 4, 4, 4, 2, 4, 0, 4, 0, 3, 0, 2, 3, 4, 3, 4, 1, 0, 3, 4, 2, 2, 1, 3, 2, 3, 4, 2, 2, 4, 2, 2, 1, 1, 3, 3, 1, 1, 2, 0, 0, 0, 3, 2, 4, 1, 2, 1, 0, 4, 3, 4, 3, 4, 1, 1, 0, 2, 3, 0, 1, 1, 1, 3, 4, 1, 1, 3, 3, 3, 1, 1, 2, 4, 1, 1, 1, 1, 4, 4, 1, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 1, 4, 4, 1, 1, 4, 0, 0, 3, 4, 2, 1, 1, 4, 2, 3, 0, 2, 3, 4, 0, 0, 4, 1, 0, 3, 4, 0, 4, 3, 0, 4, 1, 1, 3, 0, 2, 0, 0, 0, 1, 1, 4, 3, 1, 4, 2, 0, 2, 1, 2, 3, 4, 3, 4, 0, 3, 2, 1, 1, 0, 0, 4, 3, 4, 3, 2, 3, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 4, 1, 1, 0, 2, 2, 3, 2, 1, 1, 3, 2, 1, 0, 4, 3, 2, 0, 3, 0, 3, 4, 4, 4, 1, 0, 3, 0, 1, 2, 4, 1, 1, 2, 3, 0, 1, 4, 0, 4, 1, 3, 2, 0, 2, 0, 3, 3, 4, 3, 2, 4, 0, 0, 3, 3, 1, 4, 2, 2, 2, 1, 1, 1, 4, 0, 2, 0, 4, 3, 4, 3, 1, 3, 3, 2, 1, 4, 0, 1, 2, 2, 3, 0, 3, 4, 4, 2, 1, 3, 0, 2, 2, 2, 3, 0, 2, 0, 0, 1, 1, 0, 0, 3, 3, 3, 1, 4, 1, 1, 0, 4, 2, 4, 2, 1, 3, 3, 3, 4, 0, 3, 3, 0, 4, 4, 0, 1, 2, 3, 1, 2, 4, 4, 0, 4, 3]
pubkeycol1396 = [0, 0, 1, 4, 3, 4, 2, 4, 1, 2, 4, 2, 1, 4, 4, 0, 0, 4, 4, 1, 0, 3, 3, 2, 1, 0, 4, 4, 2, 4, 4, 0, 4, 1, 4, 4, 4, 4, 1, 1, 0, 4, 3, 3, 0, 4, 0, 1, 1, 4, 0, 3, 4, 4, 1, 0, 4, 3, 0, 0, 4, 2, 0, 2, 0, 4, 0, 0, 1, 0, 2, 1, 2, 4, 4, 4, 1, 3, 2, 4, 4, 3, 1, 3, 3, 3, 4, 3, 2, 4, 0, 3, 2, 2, 0, 0, 2, 2, 0, 1, 2, 4, 2, 2, 4, 3, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 3, 4, 3, 3, 0, 2, 3, 0, 0, 3, 0, 3, 1, 0, 3, 0, 2, 1, 2, 3, 3, 4, 0, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 0, 3, 2, 0, 1, 4, 4, 1, 2, 1, 1, 4, 0, 1, 2, 0, 0, 3, 2, 3, 4, 2, 2, 0, 0, 4, 3, 1, 3, 3, 0, 2, 2, 0, 0, 1, 0, 2, 3, 1, 1, 1, 2, 1, 0, 2, 3, 0, 4, 4, 4, 2, 0, 4, 4, 0, 4, 3, 3, 1, 0, 2, 1, 4, 1, 3, 0, 2, 0, 0, 1, 4, 1, 4, 4, 0, 1, 2, 4, 2, 2, 2, 2, 1, 0, 0, 3, 1, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 2, 2, 0, 2, 2, 3, 1, 2, 3, 0, 0, 2, 1, 0, 2, 4, 1, 2, 0, 3, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 3, 1, 2, 2, 3, 1, 2, 1, 3, 3, 2, 2, 0, 2, 1, 2, 4, 1, 1, 3, 2, 0, 3, 3, 1, 3, 0, 0, 4, 2, 0, 3, 3, 0, 3, 1, 4, 2, 3, 2, 2, 4, 2, 2, 3, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 3, 1, 1, 3, 3, 1, 3, 4, 0, 1, 0, 4, 1, 4, 1, 1, 2, 3, 2, 2, 1, 1, 3, 0, 3, 1, 0, 3, 0, 4, 1, 3, 3, 1, 2, 1, 4, 1, 0, 0, 3, 4, 3, 2, 4, 0, 4, 3, 0, 2, 3, 0, 4, 4, 0, 3, 2, 4, 2, 1, 3, 4, 3, 1]
pubkeycol1397 = [0, 2, 1, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 4, 0, 4, 0, 1, 2, 0, 0, 2, 2, 4, 4, 4, 2, 3, 4, 3, 0, 0, 3, 0, 4, 0, 3, 0, 3, 0, 2, 0, 3, 3, 2, 0, 0, 2, 1, 4, 3, 2, 2, 2, 2, 4, 0, 4, 0, 2, 2, 0, 1, 1, 3, 1, 3, 2, 3, 4, 3, 2, 0, 0, 1, 3, 4, 0, 2, 3, 0, 2, 0, 1, 3, 4, 3, 3, 0, 4, 2, 2, 2, 4, 3, 4, 4, 0, 1, 2, 2, 4, 1, 1, 0, 4, 3, 4, 2, 0, 1, 3, 4, 2, 4, 4, 4, 3, 2, 0, 3, 2, 4, 0, 4, 2, 1, 0, 4, 4, 3, 1, 0, 3, 0, 3, 1, 2, 0, 1, 1, 0, 0, 3, 2, 4, 3, 1, 3, 0, 2, 4, 0, 4, 2, 4, 3, 4, 1, 1, 2, 3, 0, 2, 2, 3, 0, 1, 1, 4, 0, 1, 2, 2, 4, 1, 1, 4, 3, 2, 3, 3, 0, 4, 4, 1, 0, 4, 2, 0, 3, 3, 3, 1, 2, 4, 4, 0, 1, 3, 0, 0, 0, 0, 4, 4, 0, 2, 3, 1, 2, 4, 4, 4, 3, 2, 3, 1, 4, 2, 4, 1, 3, 1, 1, 1, 3, 3, 0, 2, 3, 4, 0, 0, 4, 0, 2, 2, 1, 4, 2, 2, 0, 2, 3, 0, 3, 4, 3, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 3, 4, 4, 4, 2, 0, 2, 2, 1, 2, 4, 1, 2, 3, 3, 1, 0, 3, 3, 1, 1, 1, 3, 1, 1, 0, 1, 4, 3, 1, 4, 0, 3, 0, 1, 4, 1, 2, 0, 2, 1, 2, 4, 2, 0, 2, 0, 4, 3, 2, 3, 1, 4, 1, 1, 4, 0, 2, 2, 4, 0, 2, 1, 0, 2, 0, 3, 1, 2, 0, 2, 1, 2, 0, 3, 3, 4, 4, 0, 0, 4, 0, 3, 1, 4, 4, 0, 3, 0, 3, 1, 4, 3, 1, 4, 4, 1, 3, 4, 0, 3, 2, 4, 3, 2, 3, 1, 2, 2, 0, 0, 4, 2, 1, 0, 4, 1, 4, 1, 3, 4, 4, 3, 4, 2, 2, 2, 4, 3, 0, 0, 1, 2, 4, 4, 2, 4, 2]
pubkeycol1398 = [2, 1, 1, 2, 3, 2, 0, 0, 4, 2, 4, 1, 1, 0, 3, 1, 2, 1, 2, 3, 3, 4, 1, 0, 1, 3, 2, 0, 3, 3, 1, 1, 0, 1, 3, 0, 2, 3, 3, 2, 0, 1, 1, 0, 2, 3, 4, 2, 1, 0, 1, 4, 2, 3, 1, 1, 4, 4, 4, 1, 0, 4, 4, 4, 2, 3, 0, 4, 3, 3, 0, 0, 1, 1, 2, 1, 3, 1, 1, 0, 4, 2, 0, 2, 3, 3, 3, 2, 4, 4, 3, 1, 4, 4, 3, 3, 3, 3, 4, 4, 3, 0, 1, 3, 3, 1, 0, 1, 4, 1, 3, 2, 4, 2, 3, 3, 0, 2, 1, 2, 0, 1, 0, 2, 3, 1, 0, 3, 0, 1, 2, 2, 0, 2, 4, 1, 0, 3, 3, 1, 3, 0, 2, 3, 0, 0, 0, 4, 1, 0, 0, 2, 0, 3, 4, 4, 1, 2, 4, 3, 0, 1, 1, 1, 0, 0, 3, 4, 4, 1, 3, 2, 2, 2, 3, 0, 2, 0, 3, 3, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 3, 4, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 4, 1, 2, 4, 4, 1, 1, 3, 4, 3, 3, 3, 0, 3, 0, 0, 4, 4, 3, 0, 4, 4, 0, 0, 2, 4, 4, 0, 1, 0, 2, 2, 1, 2, 1, 2, 3, 4, 3, 2, 4, 1, 2, 1, 3, 2, 4, 4, 0, 1, 2, 0, 1, 1, 0, 2, 1, 4, 2, 3, 0, 2, 0, 3, 3, 0, 2, 4, 0, 4, 1, 1, 1, 2, 0, 0, 4, 1, 2, 4, 1, 4, 2, 4, 3, 2, 1, 0, 0, 3, 1, 4, 0, 1, 2, 1, 4, 4, 2, 1, 4, 1, 1, 2, 3, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 3, 2, 1, 3, 1, 4, 2, 3, 4, 3, 0, 3, 0, 1, 0, 0, 3, 4, 4, 3, 1, 0, 1, 0, 4, 1, 4, 0, 0, 2, 1, 1, 2, 4, 0, 3, 2, 3, 1, 4, 3, 2, 0, 2, 2, 4, 1, 3, 2, 0, 0, 0, 2, 2, 1, 1, 3, 2, 1, 0, 2, 3, 3, 1, 0, 1, 0, 0, 4, 3, 3, 2, 4, 1, 1, 1, 0, 2, 4]
pubkeycol1399 = [0, 0, 3, 0, 4, 1, 0, 2, 0, 0, 4, 1, 4, 3, 2, 4, 2, 1, 2, 3, 4, 3, 3, 1, 4, 1, 0, 3, 0, 4, 4, 3, 4, 4, 1, 4, 3, 1, 2, 1, 2, 0, 0, 2, 3, 3, 2, 3, 1, 0, 3, 2, 4, 1, 0, 2, 2, 4, 1, 3, 3, 4, 2, 4, 2, 3, 2, 4, 1, 0, 4, 1, 2, 1, 3, 1, 2, 4, 2, 4, 3, 3, 3, 2, 0, 1, 3, 3, 2, 1, 3, 2, 2, 4, 2, 1, 2, 1, 2, 1, 1, 0, 1, 3, 4, 4, 3, 2, 1, 4, 3, 2, 2, 3, 3, 2, 0, 2, 3, 0, 2, 4, 0, 0, 4, 1, 2, 0, 4, 2, 2, 3, 2, 4, 3, 1, 0, 4, 2, 1, 2, 0, 2, 4, 2, 3, 3, 4, 4, 1, 1, 4, 3, 2, 2, 1, 2, 3, 1, 2, 0, 4, 3, 3, 2, 1, 4, 4, 1, 4, 4, 4, 0, 0, 2, 0, 1, 4, 1, 0, 2, 4, 0, 1, 1, 2, 3, 3, 2, 0, 0, 0, 0, 1, 2, 4, 4, 1, 0, 2, 1, 1, 0, 1, 0, 4, 4, 2, 4, 0, 2, 3, 4, 3, 2, 1, 1, 2, 1, 4, 2, 0, 1, 4, 0, 4, 1, 0, 1, 3, 3, 4, 3, 4, 1, 2, 2, 0, 1, 4, 1, 1, 0, 2, 4, 1, 2, 0, 4, 1, 3, 4, 2, 2, 4, 3, 0, 0, 4, 3, 4, 1, 0, 2, 3, 0, 1, 3, 4, 1, 4, 3, 1, 0, 2, 1, 2, 1, 0, 0, 3, 4, 2, 2, 4, 2, 4, 4, 1, 2, 3, 3, 3, 3, 3, 1, 1, 4, 1, 2, 0, 2, 3, 0, 4, 3, 1, 2, 1, 4, 2, 4, 1, 0, 4, 3, 0, 1, 3, 2, 2, 3, 1, 3, 4, 4, 0, 1, 0, 1, 3, 1, 2, 1, 2, 1, 0, 3, 3, 1, 2, 3, 2, 0, 3, 4, 4, 1, 3, 4, 4, 2, 4, 1, 4, 0, 3, 4, 1, 1, 4, 0, 3, 4, 4, 2, 0, 3, 1, 0, 2, 4, 4, 0, 3, 4, 4, 4, 2, 2, 4, 4, 2, 1, 1, 1, 4, 2, 2, 4, 2, 3, 4, 0, 2, 2, 4, 4, 2, 0]
pubkeycol1400 = [3, 3, 1, 2, 0, 4, 1, 4, 3, 4, 3, 2, 0, 3, 0, 4, 1, 0, 3, 1, 0, 4, 1, 0, 3, 2, 4, 4, 3, 4, 2, 1, 0, 4, 2, 4, 0, 4, 4, 1, 3, 1, 0, 3, 3, 2, 4, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 4, 0, 2, 3, 4, 1, 3, 1, 2, 2, 2, 1, 4, 0, 0, 1, 1, 2, 0, 1, 3, 1, 0, 1, 2, 4, 0, 1, 1, 3, 3, 4, 4, 0, 0, 3, 0, 2, 3, 1, 3, 4, 4, 1, 1, 2, 2, 0, 4, 1, 3, 3, 2, 4, 3, 0, 0, 4, 1, 0, 1, 3, 1, 2, 3, 0, 4, 3, 0, 4, 2, 1, 1, 1, 0, 4, 3, 1, 1, 4, 1, 3, 2, 2, 1, 0, 2, 4, 2, 0, 1, 2, 1, 2, 2, 4, 1, 4, 4, 2, 4, 1, 4, 2, 4, 3, 2, 1, 2, 1, 1, 0, 2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 3, 2, 4, 3, 1, 3, 2, 0, 4, 1, 3, 3, 1, 4, 1, 4, 1, 1, 4, 1, 0, 4, 1, 1, 1, 2, 0, 2, 3, 0, 3, 1, 0, 3, 4, 2, 4, 4, 2, 1, 1, 3, 0, 2, 2, 1, 3, 1, 0, 2, 4, 1, 0, 4, 4, 1, 3, 2, 1, 4, 0, 1, 2, 4, 2, 1, 3, 4, 0, 0, 2, 2, 4, 3, 0, 0, 3, 0, 0, 0, 1, 4, 0, 1, 3, 3, 1, 0, 1, 2, 0, 0, 3, 1, 4, 3, 1, 2, 2, 4, 1, 3, 2, 4, 0, 2, 1, 4, 1, 3, 0, 4, 3, 4, 0, 1, 0, 1, 0, 2, 0, 0, 1, 3, 3, 2, 1, 4, 0, 0, 0, 3, 2, 4, 2, 1, 0, 4, 2, 2, 1, 4, 2, 0, 2, 2, 0, 2, 3, 3, 4, 4, 0, 1, 3, 0, 4, 3, 3, 4, 2, 0, 2, 4, 1, 2, 3, 2, 1, 2, 3, 0, 3, 1, 3, 1, 3, 0, 0, 3, 4, 4, 0, 2, 3, 2, 3, 4, 3, 0, 1, 4, 2, 3, 4, 3, 2, 1, 3, 4, 2, 3, 3, 1, 4, 2, 0, 3, 0, 4, 4, 3, 4, 3, 3, 0, 4, 2, 2, 1, 2]
pubkeycol1401 = [4, 3, 0, 2, 2, 3, 2, 3, 2, 1, 4, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 3, 0, 0, 4, 2, 1, 2, 0, 1, 2, 2, 1, 4, 2, 3, 1, 4, 2, 2, 3, 3, 3, 1, 2, 2, 0, 4, 1, 2, 3, 3, 3, 1, 3, 3, 0, 3, 3, 1, 4, 3, 4, 4, 4, 1, 4, 1, 4, 0, 3, 2, 0, 4, 0, 0, 0, 1, 1, 3, 3, 0, 2, 1, 1, 0, 1, 2, 2, 3, 4, 3, 1, 0, 2, 0, 4, 2, 3, 0, 2, 3, 2, 3, 0, 3, 2, 0, 3, 3, 2, 3, 3, 2, 3, 4, 1, 4, 1, 1, 1, 4, 2, 1, 4, 3, 1, 0, 3, 1, 4, 4, 1, 1, 3, 4, 1, 3, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 4, 2, 4, 1, 4, 0, 0, 1, 3, 4, 4, 4, 4, 4, 0, 3, 3, 2, 1, 0, 2, 4, 4, 1, 1, 0, 1, 4, 3, 1, 2, 2, 3, 2, 1, 0, 0, 2, 1, 4, 3, 3, 3, 2, 4, 2, 4, 0, 0, 2, 1, 1, 0, 2, 4, 1, 3, 1, 0, 1, 0, 2, 0, 4, 3, 4, 1, 3, 3, 1, 4, 1, 3, 1, 1, 4, 2, 4, 2, 3, 2, 1, 4, 0, 1, 0, 1, 4, 0, 4, 4, 3, 0, 2, 1, 4, 3, 4, 0, 4, 4, 0, 2, 1, 4, 3, 2, 4, 0, 3, 2, 4, 2, 1, 2, 2, 1, 4, 1, 1, 4, 3, 1, 4, 4, 4, 4, 0, 0, 0, 3, 1, 4, 0, 0, 3, 1, 2, 3, 4, 0, 0, 4, 3, 1, 4, 0, 3, 1, 1, 1, 1, 4, 4, 1, 2, 4, 1, 2, 3, 0, 4, 1, 1, 3, 2, 3, 2, 0, 2, 2, 4, 4, 0, 0, 3, 0, 4, 2, 3, 4, 2, 4, 1, 3, 1, 3, 4, 2, 3, 3, 1, 4, 0, 3, 0, 2, 4, 1, 1, 3, 4, 2, 2, 0, 1, 0, 2, 2, 2, 3, 0, 1, 3, 0, 2, 3, 2, 3, 1, 3, 4, 4, 0, 3, 4, 2, 4, 4, 2, 1, 2, 2, 2, 4, 3, 4, 2, 2, 3, 2, 2, 4, 4, 2, 1, 0, 1, 3, 2, 1]
pubkeycol1402 = [4, 4, 4, 2, 4, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 4, 1, 0, 0, 2, 0, 4, 4, 4, 0, 4, 0, 0, 3, 1, 2, 3, 1, 0, 2, 3, 0, 0, 3, 2, 3, 4, 2, 2, 3, 1, 2, 4, 3, 1, 3, 4, 3, 0, 4, 3, 2, 4, 2, 1, 2, 3, 0, 3, 2, 0, 1, 2, 3, 1, 4, 0, 1, 2, 4, 3, 2, 4, 3, 1, 3, 4, 0, 0, 4, 2, 0, 0, 0, 2, 1, 1, 1, 0, 4, 3, 3, 3, 2, 2, 4, 3, 3, 1, 1, 1, 2, 0, 4, 3, 3, 1, 1, 0, 0, 2, 0, 4, 3, 1, 0, 0, 2, 0, 0, 1, 0, 3, 3, 0, 3, 0, 0, 1, 0, 4, 0, 3, 4, 2, 1, 1, 3, 3, 4, 3, 4, 3, 3, 2, 0, 4, 0, 2, 0, 0, 4, 4, 0, 4, 2, 1, 0, 3, 0, 1, 0, 0, 4, 2, 0, 2, 0, 1, 4, 2, 3, 4, 4, 0, 4, 3, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 0, 4, 2, 0, 4, 2, 3, 4, 4, 2, 2, 2, 4, 1, 3, 4, 4, 2, 4, 1, 0, 4, 1, 2, 4, 1, 3, 1, 2, 1, 2, 3, 2, 2, 3, 0, 2, 3, 4, 0, 1, 0, 2, 4, 2, 3, 0, 4, 1, 3, 0, 2, 3, 2, 2, 2, 3, 4, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 3, 1, 3, 1, 0, 3, 0, 3, 1, 4, 2, 4, 3, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 3, 3, 1, 1, 2, 2, 2, 1, 3, 3, 2, 1, 2, 3, 2, 0, 0, 2, 3, 2, 4, 1, 2, 0, 1, 2, 2, 4, 4, 3, 4, 1, 2, 2, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 0, 0, 1, 3, 4, 2, 4, 4, 2, 3, 1, 4, 1, 3, 0, 4, 1, 3, 1, 1, 0, 4, 0, 1, 4, 2, 3, 1, 0, 0, 0, 4, 3, 3, 4, 0, 3, 2, 3, 0, 0, 3, 4, 1, 2, 0, 0, 0, 2, 3, 3, 0, 2, 0, 4, 1, 3, 1, 0, 3, 3, 4, 0, 0, 1, 2, 4]
pubkeycol1403 = [3, 3, 2, 2, 0, 2, 2, 0, 3, 4, 3, 4, 0, 2, 4, 4, 3, 3, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 4, 3, 1, 3, 2, 1, 0, 4, 2, 4, 2, 4, 3, 0, 2, 1, 4, 1, 4, 0, 1, 2, 3, 4, 4, 1, 4, 3, 1, 4, 1, 1, 4, 0, 1, 2, 3, 0, 1, 3, 0, 1, 0, 4, 3, 1, 3, 1, 3, 0, 3, 0, 4, 1, 3, 2, 0, 4, 4, 0, 4, 3, 0, 4, 1, 0, 4, 3, 0, 1, 3, 2, 3, 0, 1, 4, 1, 4, 1, 0, 1, 1, 1, 4, 3, 2, 3, 4, 3, 4, 1, 4, 0, 1, 4, 0, 1, 3, 3, 0, 4, 1, 1, 4, 0, 0, 0, 4, 0, 3, 0, 0, 1, 4, 2, 1, 4, 1, 3, 4, 1, 3, 4, 0, 2, 2, 4, 3, 0, 4, 2, 4, 4, 0, 4, 1, 2, 4, 4, 4, 3, 1, 3, 2, 0, 2, 0, 0, 3, 2, 0, 2, 0, 2, 3, 3, 1, 1, 3, 0, 2, 3, 0, 4, 3, 4, 0, 4, 2, 3, 4, 3, 0, 4, 0, 3, 1, 1, 1, 4, 1, 3, 0, 0, 4, 4, 2, 2, 4, 4, 1, 0, 4, 2, 4, 3, 2, 1, 3, 1, 1, 4, 1, 4, 0, 4, 1, 4, 2, 2, 3, 0, 3, 0, 0, 4, 3, 4, 2, 2, 1, 4, 1, 3, 4, 4, 0, 2, 4, 3, 4, 4, 4, 1, 0, 1, 0, 4, 4, 4, 2, 4, 4, 4, 1, 1, 4, 4, 3, 1, 1, 2, 3, 2, 4, 3, 2, 2, 2, 4, 1, 3, 0, 4, 2, 2, 3, 0, 4, 1, 1, 1, 1, 3, 1, 1, 0, 1, 4, 1, 2, 3, 2, 0, 1, 4, 4, 1, 0, 0, 2, 4, 0, 2, 1, 0, 4, 1, 4, 0, 4, 3, 0, 4, 1, 4, 4, 4, 2, 4, 0, 0, 0, 1, 4, 1, 0, 0, 1, 2, 2, 0, 0, 3, 3, 1, 4, 4, 0, 3, 3, 4, 0, 0, 4, 1, 2, 3, 3, 3, 2, 1, 4, 2, 2, 2, 2, 3, 1, 0, 1, 3, 1, 4, 0, 1, 2, 4, 4, 1, 3, 0, 4, 2, 3, 0, 4, 2, 2, 2, 1]
pubkeycol1404 = [2, 0, 1, 1, 0, 4, 2, 1, 2, 3, 0, 1, 4, 3, 4, 0, 1, 3, 0, 3, 4, 4, 2, 1, 0, 1, 2, 4, 1, 2, 3, 0, 3, 1, 0, 4, 4, 3, 0, 1, 3, 3, 1, 3, 0, 1, 3, 4, 4, 2, 1, 1, 3, 2, 2, 4, 2, 0, 0, 2, 4, 4, 4, 3, 0, 1, 2, 3, 3, 1, 0, 1, 3, 2, 0, 2, 1, 1, 2, 3, 0, 4, 4, 1, 0, 3, 3, 2, 3, 0, 2, 1, 4, 3, 1, 1, 1, 1, 4, 3, 0, 0, 0, 4, 4, 2, 2, 3, 1, 4, 0, 4, 4, 1, 0, 3, 4, 4, 2, 4, 2, 1, 1, 1, 2, 0, 0, 4, 0, 3, 1, 2, 4, 4, 1, 3, 2, 3, 2, 4, 0, 3, 1, 2, 2, 2, 1, 0, 0, 3, 2, 0, 1, 4, 0, 1, 3, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 4, 3, 2, 3, 4, 4, 2, 0, 0, 2, 2, 1, 2, 3, 3, 0, 1, 2, 0, 2, 4, 3, 2, 2, 3, 1, 0, 0, 3, 3, 1, 3, 3, 3, 0, 3, 1, 4, 0, 1, 2, 3, 0, 0, 1, 1, 0, 3, 2, 0, 4, 4, 1, 3, 2, 3, 3, 3, 2, 0, 4, 4, 0, 4, 4, 3, 2, 1, 4, 1, 2, 4, 1, 3, 1, 3, 2, 3, 3, 3, 4, 4, 3, 3, 4, 3, 0, 0, 3, 0, 3, 2, 3, 3, 3, 1, 0, 1, 2, 4, 0, 4, 2, 4, 0, 2, 1, 4, 4, 2, 2, 2, 4, 0, 1, 4, 4, 2, 3, 2, 3, 1, 2, 4, 4, 0, 2, 4, 4, 0, 3, 3, 2, 1, 0, 4, 4, 0, 1, 2, 3, 4, 2, 4, 4, 3, 0, 4, 0, 3, 4, 4, 3, 2, 4, 4, 4, 0, 1, 2, 2, 0, 4, 4, 2, 2, 4, 0, 2, 1, 4, 2, 0, 2, 3, 3, 4, 1, 2, 0, 3, 3, 3, 0, 3, 4, 2, 2, 1, 1, 1, 4, 0, 2, 0, 0, 0, 1, 4, 3, 0, 3, 2, 1, 2, 0, 2, 2, 0, 4, 4, 4, 4, 0, 1, 2, 3, 4, 2, 2, 0, 3, 3, 1, 0, 4, 3, 4, 4, 1, 3]
pubkeycol1405 = [3, 4, 2, 3, 4, 4, 1, 2, 3, 1, 2, 4, 1, 0, 1, 3, 4, 3, 1, 4, 2, 3, 3, 3, 4, 4, 0, 4, 4, 3, 4, 2, 2, 2, 1, 3, 2, 4, 0, 0, 2, 4, 1, 1, 3, 4, 4, 4, 4, 0, 3, 2, 3, 0, 4, 1, 3, 4, 1, 1, 4, 3, 1, 4, 1, 0, 0, 2, 2, 2, 2, 4, 3, 0, 0, 3, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 3, 4, 3, 2, 2, 0, 1, 0, 0, 3, 0, 4, 2, 2, 2, 1, 0, 1, 1, 1, 3, 0, 2, 0, 2, 4, 1, 1, 2, 4, 2, 4, 3, 0, 4, 2, 1, 3, 0, 2, 4, 1, 4, 2, 2, 0, 0, 4, 0, 0, 1, 3, 2, 2, 0, 4, 1, 2, 0, 2, 2, 2, 1, 3, 2, 1, 4, 0, 0, 1, 1, 1, 2, 0, 0, 2, 4, 1, 3, 2, 1, 3, 3, 0, 4, 0, 4, 1, 3, 1, 0, 3, 3, 2, 0, 4, 1, 4, 1, 0, 2, 3, 3, 1, 1, 4, 1, 4, 0, 0, 2, 4, 3, 3, 0, 4, 1, 1, 0, 0, 4, 1, 3, 1, 2, 4, 2, 4, 0, 3, 4, 3, 0, 3, 1, 4, 0, 3, 1, 2, 4, 1, 1, 3, 2, 0, 3, 2, 4, 3, 0, 3, 3, 0, 2, 2, 1, 2, 1, 2, 3, 0, 3, 1, 0, 3, 0, 0, 2, 3, 1, 0, 1, 1, 4, 4, 3, 3, 3, 4, 3, 3, 1, 3, 2, 0, 0, 1, 1, 3, 3, 2, 3, 4, 2, 3, 4, 3, 0, 2, 2, 3, 3, 1, 2, 4, 3, 1, 2, 4, 2, 4, 3, 3, 2, 2, 4, 4, 1, 3, 4, 3, 4, 1, 3, 2, 0, 3, 4, 4, 0, 1, 3, 4, 1, 1, 4, 0, 0, 2, 3, 1, 2, 3, 0, 2, 2, 3, 1, 1, 2, 4, 3, 0, 2, 1, 0, 3, 2, 1, 1, 3, 0, 2, 1, 2, 0, 2, 2, 3, 2, 0, 1, 0, 3, 1, 2, 0, 0, 0, 0, 4, 3, 2, 2, 3, 3, 1, 3, 4, 4, 4, 0, 1, 3, 3, 0, 2, 1, 3, 1, 2, 2, 0, 3, 2, 3, 4, 2, 2, 4]
pubkeycol1406 = [2, 3, 3, 3, 2, 3, 4, 0, 2, 1, 0, 3, 1, 2, 4, 1, 3, 3, 4, 1, 0, 4, 0, 2, 2, 1, 4, 1, 3, 3, 0, 2, 3, 0, 2, 4, 3, 1, 1, 3, 0, 2, 2, 3, 3, 3, 4, 3, 1, 3, 1, 4, 2, 1, 4, 2, 0, 0, 0, 2, 0, 4, 2, 1, 3, 4, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 4, 0, 3, 3, 0, 1, 4, 2, 3, 4, 1, 4, 1, 4, 2, 2, 2, 4, 4, 0, 0, 1, 0, 2, 4, 1, 0, 1, 4, 4, 0, 3, 3, 4, 4, 4, 2, 3, 0, 2, 0, 3, 1, 0, 1, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 3, 1, 3, 0, 1, 4, 4, 2, 4, 3, 2, 3, 1, 2, 1, 0, 4, 0, 1, 3, 3, 2, 0, 2, 0, 0, 4, 0, 0, 1, 1, 2, 4, 3, 1, 3, 0, 3, 3, 0, 2, 1, 4, 2, 2, 4, 3, 4, 1, 1, 3, 0, 4, 1, 4, 3, 1, 3, 0, 1, 4, 3, 0, 0, 4, 1, 0, 3, 4, 0, 4, 4, 0, 4, 1, 4, 4, 4, 3, 2, 1, 2, 1, 0, 1, 4, 0, 2, 1, 1, 0, 1, 0, 0, 4, 0, 1, 2, 1, 3, 0, 2, 2, 4, 2, 1, 2, 1, 3, 4, 2, 2, 2, 3, 4, 3, 0, 1, 1, 3, 0, 1, 2, 4, 3, 2, 4, 4, 1, 0, 4, 0, 4, 0, 1, 1, 3, 3, 0, 4, 4, 3, 1, 0, 0, 1, 4, 2, 3, 2, 2, 0, 3, 0, 2, 4, 0, 4, 1, 1, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 3, 0, 4, 1, 1, 3, 0, 2, 3, 0, 3, 2, 3, 0, 1, 1, 4, 3, 3, 3, 1, 3, 0, 2, 4, 1, 4, 3, 3, 2, 1, 3, 3, 0, 0, 1, 0, 4, 1, 3, 4, 3, 3, 4, 2, 1, 2, 0, 2, 3, 2, 0, 0, 1, 3, 2, 3, 0, 0, 2, 4, 4, 1, 0, 0, 3, 0, 3, 1, 3, 4, 3, 3, 1, 0, 0, 2, 3, 4, 4, 3, 1, 0, 4, 1, 0, 2, 4, 0, 0, 1, 0, 1, 3, 4, 3, 4, 2, 4]
pubkeycol1407 = [3, 4, 1, 1, 2, 1, 1, 2, 2, 1, 4, 1, 1, 2, 4, 0, 0, 4, 0, 3, 2, 4, 4, 3, 2, 1, 0, 1, 1, 4, 1, 2, 3, 4, 0, 4, 3, 0, 1, 4, 3, 1, 0, 4, 1, 2, 2, 1, 1, 1, 3, 1, 2, 2, 1, 4, 1, 0, 4, 1, 1, 1, 2, 2, 2, 2, 4, 1, 1, 2, 0, 4, 0, 2, 0, 4, 4, 1, 1, 4, 0, 4, 4, 3, 1, 4, 1, 4, 2, 1, 2, 4, 4, 1, 2, 1, 2, 1, 0, 0, 1, 4, 1, 3, 1, 0, 1, 2, 4, 4, 3, 4, 3, 1, 0, 1, 2, 2, 3, 2, 3, 2, 0, 1, 3, 0, 3, 3, 3, 2, 2, 4, 1, 1, 0, 4, 1, 0, 0, 2, 0, 4, 4, 3, 1, 2, 3, 4, 0, 0, 3, 4, 3, 4, 4, 1, 4, 3, 0, 2, 3, 1, 2, 2, 1, 1, 2, 2, 3, 4, 1, 4, 0, 0, 4, 3, 1, 3, 3, 2, 1, 2, 3, 0, 1, 2, 1, 2, 3, 0, 4, 4, 0, 0, 1, 3, 0, 1, 2, 3, 2, 1, 2, 2, 1, 2, 1, 0, 3, 0, 2, 3, 0, 3, 0, 3, 3, 2, 3, 0, 3, 3, 3, 1, 0, 0, 2, 0, 4, 4, 4, 3, 2, 2, 2, 3, 0, 1, 1, 4, 3, 4, 0, 0, 1, 0, 0, 0, 2, 0, 4, 0, 1, 1, 0, 3, 4, 0, 2, 2, 3, 4, 2, 2, 3, 1, 0, 3, 2, 0, 3, 0, 3, 3, 3, 4, 1, 3, 2, 2, 4, 0, 0, 0, 1, 2, 4, 3, 0, 3, 3, 0, 0, 3, 4, 0, 2, 3, 3, 2, 0, 0, 2, 2, 2, 1, 0, 1, 3, 0, 0, 3, 0, 3, 4, 1, 2, 4, 4, 1, 2, 2, 2, 2, 2, 0, 2, 4, 1, 2, 3, 2, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 4, 1, 4, 3, 1, 1, 2, 4, 4, 2, 1, 4, 3, 2, 0, 2, 4, 3, 0, 2, 2, 0, 3, 2, 0, 0, 2, 2, 1, 4, 1, 2, 2, 0, 2, 1, 4, 4, 0, 1, 4, 1, 1, 2, 1, 0, 1, 0, 3, 0, 4, 0, 1, 2, 1, 3, 1, 4]
pubkeycol1408 = [2, 4, 1, 0, 1, 0, 2, 4, 4, 4, 4, 1, 0, 1, 3, 1, 1, 4, 1, 1, 4, 2, 4, 2, 2, 1, 3, 2, 1, 0, 3, 3, 4, 4, 2, 3, 4, 4, 1, 0, 2, 1, 0, 0, 4, 2, 0, 3, 2, 0, 1, 4, 4, 2, 3, 0, 4, 0, 0, 1, 1, 3, 3, 3, 4, 3, 1, 1, 4, 3, 2, 2, 2, 2, 0, 3, 0, 1, 1, 1, 2, 3, 4, 1, 4, 2, 2, 0, 2, 2, 3, 2, 3, 1, 4, 2, 4, 2, 4, 2, 0, 1, 2, 1, 1, 0, 4, 4, 2, 3, 1, 4, 4, 3, 4, 3, 3, 3, 4, 0, 2, 1, 3, 4, 2, 4, 4, 3, 4, 1, 2, 4, 2, 1, 4, 4, 2, 3, 2, 2, 2, 1, 4, 3, 0, 3, 3, 3, 3, 1, 4, 3, 4, 3, 1, 1, 2, 0, 3, 4, 1, 3, 4, 0, 1, 2, 0, 2, 4, 3, 2, 4, 0, 2, 2, 3, 2, 4, 0, 4, 4, 3, 3, 2, 0, 0, 3, 3, 2, 1, 2, 1, 1, 4, 1, 1, 1, 2, 3, 0, 1, 3, 3, 2, 3, 1, 2, 3, 0, 2, 4, 1, 1, 4, 2, 1, 1, 0, 4, 0, 4, 3, 3, 4, 1, 0, 2, 0, 1, 3, 3, 2, 0, 3, 0, 2, 3, 4, 3, 4, 1, 4, 0, 3, 4, 4, 4, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 3, 3, 4, 1, 1, 4, 0, 4, 3, 2, 0, 2, 2, 1, 2, 2, 2, 2, 4, 4, 0, 1, 2, 1, 0, 0, 0, 2, 2, 4, 4, 2, 1, 0, 2, 0, 2, 3, 4, 2, 4, 1, 4, 2, 0, 2, 2, 3, 0, 0, 4, 1, 2, 1, 1, 1, 4, 3, 4, 3, 4, 0, 0, 4, 4, 1, 2, 0, 4, 0, 2, 3, 3, 1, 4, 0, 1, 0, 1, 2, 4, 4, 4, 2, 0, 3, 0, 3, 2, 2, 3, 1, 3, 4, 0, 4, 2, 0, 0, 3, 4, 0, 1, 0, 2, 4, 0, 0, 3, 2, 4, 2, 4, 0, 0, 1, 0, 3, 1, 4, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 4, 3, 4, 1, 0, 0, 4, 0, 4, 0, 2, 2]
pubkeycol1409 = [3, 4, 2, 0, 0, 1, 1, 1, 0, 3, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 3, 2, 1, 4, 4, 3, 1, 3, 3, 3, 0, 3, 4, 2, 4, 4, 4, 0, 2, 3, 3, 4, 0, 1, 3, 3, 3, 4, 3, 2, 0, 2, 1, 3, 0, 0, 2, 4, 0, 4, 1, 3, 0, 4, 3, 0, 2, 3, 1, 3, 0, 4, 2, 0, 3, 4, 3, 2, 2, 0, 0, 4, 0, 3, 4, 2, 3, 1, 4, 1, 0, 1, 3, 4, 0, 2, 1, 0, 1, 0, 1, 1, 4, 1, 1, 0, 0, 2, 2, 1, 4, 1, 0, 2, 2, 2, 3, 2, 2, 3, 2, 1, 4, 0, 3, 0, 2, 4, 2, 3, 4, 3, 3, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 3, 1, 2, 1, 1, 1, 4, 1, 1, 0, 1, 3, 2, 2, 3, 4, 2, 3, 0, 2, 3, 0, 1, 4, 4, 2, 0, 4, 3, 3, 4, 0, 3, 2, 3, 4, 2, 4, 0, 0, 2, 4, 2, 1, 3, 2, 1, 1, 1, 4, 0, 3, 3, 1, 2, 3, 0, 3, 4, 4, 3, 2, 0, 0, 0, 0, 3, 2, 3, 2, 4, 0, 4, 4, 3, 2, 2, 3, 2, 1, 0, 0, 3, 2, 3, 2, 1, 3, 0, 2, 4, 3, 2, 3, 3, 0, 0, 1, 1, 1, 0, 3, 4, 4, 4, 4, 3, 2, 4, 2, 2, 3, 1, 1, 4, 3, 3, 2, 1, 1, 2, 1, 0, 1, 0, 1, 3, 3, 2, 3, 1, 1, 3, 2, 4, 3, 1, 3, 0, 0, 4, 4, 2, 4, 2, 3, 1, 4, 2, 4, 0, 4, 0, 2, 2, 4, 0, 0, 0, 2, 1, 4, 4, 1, 1, 3, 4, 0, 2, 0, 0, 2, 0, 4, 4, 1, 4, 3, 0, 3, 2, 0, 1, 1, 1, 1, 3, 0, 3, 1, 3, 4, 3, 3, 2, 0, 3, 0, 2, 0, 3, 4, 0, 1, 1, 1, 4, 1, 3, 2, 2, 3, 0, 1, 0, 4, 2, 3, 4, 4, 0, 3, 4, 4, 0, 1, 4, 4, 2, 0, 2, 0, 1, 3, 4, 4, 2, 4, 0, 4, 4, 4, 0, 1, 4, 4, 3, 2, 1, 0, 0, 2]
pubkeycol1410 = [4, 0, 4, 2, 0, 4, 2, 0, 4, 4, 4, 3, 3, 0, 2, 3, 0, 3, 3, 3, 3, 2, 1, 4, 0, 2, 1, 1, 3, 1, 2, 0, 2, 4, 1, 3, 0, 1, 1, 1, 4, 3, 2, 2, 1, 2, 1, 4, 0, 0, 4, 1, 2, 4, 1, 3, 1, 1, 1, 3, 3, 0, 4, 0, 3, 2, 3, 3, 3, 4, 4, 3, 0, 2, 1, 0, 2, 0, 4, 0, 0, 4, 0, 0, 3, 2, 4, 2, 2, 4, 2, 1, 4, 1, 4, 1, 2, 4, 2, 0, 0, 0, 1, 0, 0, 3, 3, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 4, 0, 3, 4, 4, 4, 0, 4, 0, 0, 1, 2, 1, 4, 3, 1, 0, 0, 2, 0, 0, 3, 1, 0, 1, 3, 1, 4, 0, 1, 0, 1, 0, 3, 4, 4, 0, 3, 1, 2, 4, 4, 3, 4, 1, 0, 2, 1, 0, 1, 4, 3, 4, 1, 1, 3, 4, 4, 4, 0, 4, 0, 2, 1, 0, 2, 4, 4, 0, 0, 3, 2, 2, 3, 1, 0, 3, 0, 4, 1, 3, 4, 0, 0, 1, 1, 1, 0, 0, 4, 1, 2, 2, 1, 2, 1, 0, 1, 2, 4, 0, 0, 0, 3, 0, 2, 2, 1, 2, 1, 4, 0, 4, 3, 2, 2, 4, 3, 3, 0, 2, 1, 0, 4, 4, 4, 3, 0, 2, 3, 0, 4, 3, 3, 4, 0, 0, 1, 1, 4, 2, 1, 2, 0, 3, 1, 4, 1, 3, 0, 2, 3, 2, 2, 2, 3, 3, 1, 1, 3, 4, 2, 2, 0, 2, 1, 3, 3, 4, 4, 4, 3, 4, 4, 2, 3, 2, 0, 4, 4, 4, 1, 0, 3, 1, 1, 0, 3, 1, 1, 3, 1, 3, 4, 0, 1, 4, 3, 1, 2, 2, 4, 2, 4, 2, 2, 0, 0, 3, 3, 3, 3, 1, 4, 4, 4, 4, 3, 3, 3, 0, 2, 2, 1, 0, 0, 4, 1, 2, 2, 4, 2, 1, 0, 2, 1, 1, 4, 3, 1, 0, 1, 1, 4, 3, 3, 3, 4, 2, 3, 0, 0, 1, 3, 4, 4, 4, 2, 2, 3, 3, 1, 0, 1, 1, 3, 2, 1, 1, 3, 4, 0, 4, 2, 4, 3, 0, 3, 1, 1, 2, 0, 0]
pubkeycol1411 = [4, 2, 0, 4, 1, 2, 2, 4, 1, 0, 3, 1, 2, 3, 0, 0, 1, 2, 2, 4, 4, 3, 3, 2, 2, 3, 0, 1, 4, 4, 3, 1, 2, 3, 4, 2, 4, 2, 4, 1, 3, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 4, 2, 0, 0, 3, 1, 4, 0, 1, 4, 2, 4, 0, 3, 0, 0, 3, 3, 0, 4, 4, 2, 4, 1, 1, 0, 4, 1, 1, 2, 4, 1, 0, 4, 4, 1, 2, 1, 3, 2, 4, 0, 0, 1, 4, 0, 3, 3, 3, 0, 2, 3, 3, 0, 1, 2, 2, 4, 2, 3, 4, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 4, 3, 4, 1, 3, 3, 0, 4, 3, 0, 3, 2, 2, 2, 4, 4, 4, 2, 0, 1, 3, 4, 2, 4, 2, 1, 3, 4, 2, 1, 3, 0, 2, 4, 0, 2, 2, 3, 2, 1, 2, 3, 2, 2, 0, 2, 4, 2, 3, 0, 0, 4, 3, 2, 0, 3, 1, 0, 1, 4, 0, 0, 4, 3, 4, 3, 1, 3, 0, 4, 2, 2, 3, 4, 2, 1, 3, 3, 1, 0, 0, 2, 4, 4, 2, 0, 2, 4, 3, 3, 4, 0, 0, 4, 2, 3, 1, 4, 0, 0, 3, 3, 4, 1, 1, 3, 1, 4, 2, 0, 2, 0, 3, 0, 1, 1, 0, 3, 2, 2, 0, 3, 4, 4, 2, 2, 0, 1, 1, 4, 1, 4, 2, 3, 0, 1, 4, 4, 3, 3, 4, 0, 0, 0, 1, 0, 1, 3, 4, 1, 1, 3, 0, 0, 1, 4, 0, 3, 1, 3, 3, 2, 0, 2, 4, 0, 2, 2, 1, 2, 0, 2, 1, 1, 3, 0, 1, 4, 2, 4, 2, 3, 0, 2, 3, 0, 3, 4, 3, 0, 0, 3, 3, 2, 0, 3, 0, 3, 3, 2, 2, 2, 1, 1, 3, 2, 3, 4, 4, 4, 0, 1, 4, 2, 3, 2, 0, 2, 2, 1, 2, 1, 3, 2, 1, 2, 1, 1, 1, 3, 0, 3, 0, 3, 1, 2, 1, 4, 1, 4, 2, 4, 2, 0, 3, 0, 2, 3, 0, 4, 2, 4, 1, 0, 1, 0, 0, 3, 4, 3, 1, 4, 0, 3, 2, 4, 3, 1, 1, 3, 2, 0, 3, 0, 4, 4, 0, 4]
pubkeycol1412 = [3, 3, 1, 4, 0, 0, 4, 3, 1, 3, 0, 4, 0, 4, 4, 0, 3, 2, 3, 1, 4, 1, 2, 1, 4, 3, 3, 1, 2, 0, 1, 0, 2, 4, 3, 0, 4, 0, 4, 0, 0, 3, 4, 3, 4, 0, 4, 4, 1, 1, 3, 1, 3, 1, 0, 0, 3, 2, 4, 1, 2, 3, 0, 4, 4, 4, 3, 2, 0, 2, 0, 2, 4, 4, 3, 3, 3, 2, 4, 0, 2, 0, 4, 4, 0, 4, 2, 3, 3, 4, 2, 2, 0, 2, 4, 0, 0, 0, 1, 2, 2, 3, 2, 3, 1, 1, 1, 4, 3, 4, 2, 1, 3, 1, 1, 3, 2, 1, 3, 3, 0, 3, 1, 2, 1, 1, 3, 1, 2, 2, 3, 2, 3, 3, 0, 2, 0, 2, 4, 0, 1, 4, 1, 4, 1, 0, 2, 4, 4, 0, 0, 2, 1, 1, 4, 1, 2, 0, 3, 3, 0, 3, 1, 2, 4, 0, 1, 2, 4, 2, 0, 0, 0, 4, 1, 0, 4, 2, 2, 2, 0, 0, 0, 0, 1, 4, 0, 1, 2, 1, 3, 3, 0, 4, 3, 1, 0, 2, 3, 4, 1, 0, 3, 3, 4, 0, 3, 2, 0, 3, 0, 0, 3, 2, 0, 3, 0, 1, 4, 3, 4, 1, 1, 0, 2, 1, 1, 3, 4, 2, 3, 0, 2, 4, 2, 1, 4, 0, 0, 3, 0, 3, 0, 4, 1, 3, 4, 0, 1, 4, 3, 0, 4, 4, 0, 3, 1, 0, 3, 2, 4, 4, 0, 2, 0, 3, 2, 3, 4, 2, 4, 3, 1, 3, 4, 0, 1, 1, 1, 1, 0, 4, 2, 0, 4, 3, 3, 4, 0, 2, 3, 4, 4, 3, 3, 2, 0, 1, 3, 0, 1, 1, 0, 0, 4, 0, 4, 1, 2, 3, 3, 3, 1, 2, 1, 3, 4, 4, 0, 1, 1, 1, 2, 4, 3, 3, 0, 3, 3, 3, 2, 3, 1, 3, 2, 2, 1, 1, 4, 0, 2, 1, 0, 4, 3, 1, 2, 0, 0, 0, 0, 1, 2, 4, 2, 0, 4, 0, 4, 0, 3, 1, 1, 0, 2, 2, 0, 4, 0, 3, 2, 3, 3, 4, 3, 1, 4, 4, 2, 1, 4, 0, 4, 2, 1, 0, 4, 3, 2, 1, 3, 4, 0, 2, 4, 4, 4, 0, 2, 3]
pubkeycol1413 = [2, 1, 3, 2, 2, 0, 4, 4, 1, 2, 4, 1, 2, 1, 2, 1, 3, 3, 2, 3, 1, 1, 3, 2, 4, 0, 1, 0, 1, 3, 2, 3, 3, 2, 2, 0, 4, 2, 4, 4, 3, 3, 0, 3, 3, 2, 3, 4, 2, 3, 1, 3, 3, 4, 2, 2, 3, 3, 1, 3, 2, 0, 2, 0, 0, 2, 3, 0, 3, 2, 2, 4, 3, 0, 4, 4, 3, 2, 2, 0, 2, 0, 2, 0, 4, 2, 4, 4, 2, 3, 0, 3, 4, 1, 1, 2, 0, 1, 0, 4, 2, 3, 2, 4, 3, 4, 2, 2, 4, 3, 4, 1, 0, 3, 1, 4, 2, 0, 0, 3, 2, 4, 2, 0, 1, 1, 1, 2, 1, 0, 3, 4, 3, 0, 3, 3, 3, 1, 4, 3, 4, 0, 4, 1, 3, 4, 4, 1, 4, 2, 1, 3, 0, 2, 3, 0, 1, 0, 4, 2, 0, 1, 4, 3, 1, 4, 0, 0, 2, 0, 0, 3, 0, 2, 1, 4, 2, 1, 2, 3, 1, 2, 0, 1, 2, 2, 4, 4, 4, 4, 3, 4, 0, 0, 3, 3, 0, 1, 4, 0, 2, 4, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 2, 0, 3, 2, 1, 0, 1, 1, 2, 0, 4, 4, 1, 3, 0, 1, 2, 1, 0, 4, 3, 0, 4, 4, 2, 3, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 3, 2, 3, 2, 4, 3, 0, 0, 1, 2, 0, 2, 0, 4, 1, 1, 3, 2, 1, 0, 2, 3, 2, 0, 1, 4, 0, 1, 2, 0, 1, 4, 0, 2, 3, 0, 4, 1, 4, 4, 1, 2, 3, 1, 3, 4, 1, 1, 1, 2, 3, 4, 1, 4, 4, 3, 2, 3, 4, 4, 4, 0, 1, 3, 1, 0, 1, 3, 2, 4, 1, 1, 1, 0, 4, 3, 2, 3, 1, 0, 0, 0, 4, 3, 4, 3, 1, 1, 2, 2, 4, 3, 2, 0, 2, 4, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 4, 2, 4, 2, 2, 2, 0, 0, 2, 4, 1, 2, 1, 0, 3, 1, 2, 0, 0, 0, 2, 0, 1, 0, 3, 0, 4, 1, 3, 2, 0, 0, 0, 4, 1, 4, 1, 4, 0, 3, 0, 2, 3, 4, 1]