kilobytes = 22.6785845318031
q = 3
m = 6
n = 708
s = 0
t = 22
u = 44
k = 444
w = 33
ciphertext = [2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1]
recovered_plaintext_using_secret_key = True
pubkeycol264 = [1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0]
pubkeycol265 = [1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2]
pubkeycol266 = [1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2]
pubkeycol267 = [1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1]
pubkeycol268 = [1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1]
pubkeycol269 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1]
pubkeycol270 = [2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0]
pubkeycol271 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0]
pubkeycol272 = [2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0]
pubkeycol273 = [2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1]
pubkeycol274 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0]
pubkeycol275 = [2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1]
pubkeycol276 = [1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2]
pubkeycol277 = [2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2]
pubkeycol278 = [0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1]
pubkeycol279 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2]
pubkeycol280 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0]
pubkeycol281 = [2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2]
pubkeycol282 = [2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2]
pubkeycol283 = [2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1]
pubkeycol284 = [2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol285 = [2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2]
pubkeycol286 = [0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2]
pubkeycol287 = [0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0]
pubkeycol288 = [0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1]
pubkeycol289 = [1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0]
pubkeycol290 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2]
pubkeycol291 = [0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0]
pubkeycol292 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1]
pubkeycol293 = [1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1]
pubkeycol294 = [1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0]
pubkeycol295 = [2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0]
pubkeycol296 = [1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2]
pubkeycol297 = [0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0]
pubkeycol298 = [2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2]
pubkeycol299 = [1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2]
pubkeycol300 = [1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2]
pubkeycol301 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2]
pubkeycol302 = [2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0]
pubkeycol303 = [2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1]
pubkeycol304 = [0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2]
pubkeycol305 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1]
pubkeycol306 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2]
pubkeycol307 = [0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0]
pubkeycol308 = [2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2]
pubkeycol309 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2]
pubkeycol310 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0]
pubkeycol311 = [2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1]
pubkeycol312 = [1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0]
pubkeycol313 = [2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2]
pubkeycol314 = [1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1]
pubkeycol315 = [1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2]
pubkeycol316 = [2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1]
pubkeycol317 = [2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0]
pubkeycol318 = [0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1]
pubkeycol319 = [0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0]
pubkeycol320 = [0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0]
pubkeycol321 = [2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2]
pubkeycol322 = [2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2]
pubkeycol323 = [0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1]
pubkeycol324 = [0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2]
pubkeycol325 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2]
pubkeycol326 = [2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0]
pubkeycol327 = [1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2]
pubkeycol328 = [2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2]
pubkeycol329 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2]
pubkeycol330 = [0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2]
pubkeycol331 = [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0]
pubkeycol332 = [1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1]
pubkeycol333 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1]
pubkeycol334 = [0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0]
pubkeycol335 = [0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0]
pubkeycol336 = [1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2]
pubkeycol337 = [0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2]
pubkeycol338 = [2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0]
pubkeycol339 = [1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2]
pubkeycol340 = [2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1]
pubkeycol341 = [0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0]
pubkeycol342 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0]
pubkeycol343 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2]
pubkeycol344 = [2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1]
pubkeycol345 = [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1]
pubkeycol346 = [1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0]
pubkeycol347 = [0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0]
pubkeycol348 = [2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1]
pubkeycol349 = [0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2]
pubkeycol350 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0]
pubkeycol351 = [0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2]
pubkeycol352 = [0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0]
pubkeycol353 = [2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2]
pubkeycol354 = [2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2]
pubkeycol355 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1]
pubkeycol356 = [2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2]
pubkeycol357 = [0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2]
pubkeycol358 = [0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0]
pubkeycol359 = [2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2]
pubkeycol360 = [1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0]
pubkeycol361 = [1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0]
pubkeycol362 = [2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1]
pubkeycol363 = [2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2]
pubkeycol364 = [0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0]
pubkeycol365 = [0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2]
pubkeycol366 = [0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0]
pubkeycol367 = [2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2]
pubkeycol368 = [0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2]
pubkeycol369 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2]
pubkeycol370 = [2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2]
pubkeycol371 = [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0]
pubkeycol372 = [1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1]
pubkeycol373 = [2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1]
pubkeycol374 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0]
pubkeycol375 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2]
pubkeycol376 = [1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0]
pubkeycol377 = [1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2]
pubkeycol378 = [2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0]
pubkeycol379 = [2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2]
pubkeycol380 = [0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0]
pubkeycol381 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2]
pubkeycol382 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1]
pubkeycol383 = [1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1]
pubkeycol384 = [1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2]
pubkeycol385 = [1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1]
pubkeycol386 = [2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol387 = [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0]
pubkeycol388 = [1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1]
pubkeycol389 = [2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2]
pubkeycol390 = [0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2]
pubkeycol391 = [0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2]
pubkeycol392 = [0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0]
pubkeycol393 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1]
pubkeycol394 = [2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0]
pubkeycol395 = [1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1]
pubkeycol396 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2]
pubkeycol397 = [1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1]
pubkeycol398 = [2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0]
pubkeycol399 = [1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2]
pubkeycol400 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2]
pubkeycol401 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2]
pubkeycol402 = [2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2]
pubkeycol403 = [1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1]
pubkeycol404 = [1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0]
pubkeycol405 = [2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2]
pubkeycol406 = [0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0]
pubkeycol407 = [1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0]
pubkeycol408 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0]
pubkeycol409 = [0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1]
pubkeycol410 = [2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0]
pubkeycol411 = [2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2]
pubkeycol412 = [2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0]
pubkeycol413 = [1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1]
pubkeycol414 = [0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2]
pubkeycol415 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1]
pubkeycol416 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1]
pubkeycol417 = [2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1]
pubkeycol418 = [2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0]
pubkeycol419 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0]
pubkeycol420 = [1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2]
pubkeycol421 = [1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0]
pubkeycol422 = [0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2]
pubkeycol423 = [2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0]
pubkeycol424 = [1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0]
pubkeycol425 = [1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2]
pubkeycol426 = [1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1]
pubkeycol427 = [0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2]
pubkeycol428 = [2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2]
pubkeycol429 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1]
pubkeycol430 = [2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1]
pubkeycol431 = [2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2]
pubkeycol432 = [0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2]
pubkeycol433 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2]
pubkeycol434 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2]
pubkeycol435 = [1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0]
pubkeycol436 = [2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2]
pubkeycol437 = [0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0]
pubkeycol438 = [0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2]
pubkeycol439 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2]
pubkeycol440 = [1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1]
pubkeycol441 = [0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0]
pubkeycol442 = [2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2]
pubkeycol443 = [2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0]
pubkeycol444 = [2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2]
pubkeycol445 = [0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1]
pubkeycol446 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0]
pubkeycol447 = [1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0]
pubkeycol448 = [0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0]
pubkeycol449 = [2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2]
pubkeycol450 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1]
pubkeycol451 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1]
pubkeycol452 = [2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2]
pubkeycol453 = [2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0]
pubkeycol454 = [2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2]
pubkeycol455 = [2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2]
pubkeycol456 = [1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1]
pubkeycol457 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1]
pubkeycol458 = [2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1]
pubkeycol459 = [0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1]
pubkeycol460 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2]
pubkeycol461 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1]
pubkeycol462 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2]
pubkeycol463 = [0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0]
pubkeycol464 = [1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0]
pubkeycol465 = [2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1]
pubkeycol466 = [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0]
pubkeycol467 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1]
pubkeycol468 = [1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2]
pubkeycol469 = [2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0]
pubkeycol470 = [2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1]
pubkeycol471 = [1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2]
pubkeycol472 = [0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2]
pubkeycol473 = [2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1]
pubkeycol474 = [1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0]
pubkeycol475 = [1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1]
pubkeycol476 = [1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0]
pubkeycol477 = [0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2]
pubkeycol478 = [0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2]
pubkeycol479 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0]
pubkeycol480 = [0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0]
pubkeycol481 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1]
pubkeycol482 = [0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1]
pubkeycol483 = [1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1]
pubkeycol484 = [0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0]
pubkeycol485 = [1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0]
pubkeycol486 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0]
pubkeycol487 = [0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0]
pubkeycol488 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1]
pubkeycol489 = [1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1]
pubkeycol490 = [0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2]
pubkeycol491 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0]
pubkeycol492 = [0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2]
pubkeycol493 = [2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0]
pubkeycol494 = [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0]
pubkeycol495 = [0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0]
pubkeycol496 = [0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2]
pubkeycol497 = [2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2]
pubkeycol498 = [1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2]
pubkeycol499 = [2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0]
pubkeycol500 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2]
pubkeycol501 = [2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1]
pubkeycol502 = [2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0]
pubkeycol503 = [0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2]
pubkeycol504 = [2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2]
pubkeycol505 = [2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2]
pubkeycol506 = [1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0]
pubkeycol507 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2]
pubkeycol508 = [2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2]
pubkeycol509 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0]
pubkeycol510 = [2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1]
pubkeycol511 = [0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1]
pubkeycol512 = [1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1]
pubkeycol513 = [0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1]
pubkeycol514 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0]
pubkeycol515 = [0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2]
pubkeycol516 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1]
pubkeycol517 = [0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2]
pubkeycol518 = [0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1]
pubkeycol519 = [2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0]
pubkeycol520 = [0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0]
pubkeycol521 = [2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1]
pubkeycol522 = [2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1]
pubkeycol523 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0]
pubkeycol524 = [2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0]
pubkeycol525 = [2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2]
pubkeycol526 = [1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0]
pubkeycol527 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0]
pubkeycol528 = [0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2]
pubkeycol529 = [0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1]
pubkeycol530 = [0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1]
pubkeycol531 = [1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2]
pubkeycol532 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2]
pubkeycol533 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2]
pubkeycol534 = [1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1]
pubkeycol535 = [0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2]
pubkeycol536 = [0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2]
pubkeycol537 = [1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0]
pubkeycol538 = [1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0]
pubkeycol539 = [2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1]
pubkeycol540 = [1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0]
pubkeycol541 = [0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2]
pubkeycol542 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2]
pubkeycol543 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1]
pubkeycol544 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1]
pubkeycol545 = [1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0]
pubkeycol546 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0]
pubkeycol547 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0]
pubkeycol548 = [0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0]
pubkeycol549 = [1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2]
pubkeycol550 = [0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2]
pubkeycol551 = [0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0]
pubkeycol552 = [1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0]
pubkeycol553 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0]
pubkeycol554 = [1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2]
pubkeycol555 = [0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1]
pubkeycol556 = [0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0]
pubkeycol557 = [1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1]
pubkeycol558 = [1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2]
pubkeycol559 = [1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1]
pubkeycol560 = [2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0]
pubkeycol561 = [0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0]
pubkeycol562 = [1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0]
pubkeycol563 = [1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0]
pubkeycol564 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1]
pubkeycol565 = [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2]
pubkeycol566 = [2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0]
pubkeycol567 = [2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1]
pubkeycol568 = [2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1]
pubkeycol569 = [2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1]
pubkeycol570 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2]
pubkeycol571 = [1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0]
pubkeycol572 = [1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1]
pubkeycol573 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2]
pubkeycol574 = [2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2]
pubkeycol575 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0]
pubkeycol576 = [0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2]
pubkeycol577 = [0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0]
pubkeycol578 = [0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2]
pubkeycol579 = [1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2]
pubkeycol580 = [1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1]
pubkeycol581 = [1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2]
pubkeycol582 = [2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1]
pubkeycol583 = [2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0]
pubkeycol584 = [0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1]
pubkeycol585 = [1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2]
pubkeycol586 = [0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0]
pubkeycol587 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0]
pubkeycol588 = [1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1]
pubkeycol589 = [1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0]
pubkeycol590 = [1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2]
pubkeycol591 = [2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2]
pubkeycol592 = [1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2]
pubkeycol593 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1]
pubkeycol594 = [2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]
pubkeycol595 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2]
pubkeycol596 = [0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2]
pubkeycol597 = [0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1]
pubkeycol598 = [0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2]
pubkeycol599 = [0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1]
pubkeycol600 = [2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1]
pubkeycol601 = [2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0]
pubkeycol602 = [0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2]
pubkeycol603 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2]
pubkeycol604 = [2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0]
pubkeycol605 = [1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2]
pubkeycol606 = [2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1]
pubkeycol607 = [1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0]
pubkeycol608 = [1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1]
pubkeycol609 = [0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1]
pubkeycol610 = [1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2]
pubkeycol611 = [0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2]
pubkeycol612 = [0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1]
pubkeycol613 = [2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2]
pubkeycol614 = [1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2]
pubkeycol615 = [2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0]
pubkeycol616 = [2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1]
pubkeycol617 = [2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1]
pubkeycol618 = [1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0]
pubkeycol619 = [2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1]
pubkeycol620 = [1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2]
pubkeycol621 = [2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1]
pubkeycol622 = [1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1]
pubkeycol623 = [1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0]
pubkeycol624 = [0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1]
pubkeycol625 = [1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0]
pubkeycol626 = [2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2]
pubkeycol627 = [0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1]
pubkeycol628 = [0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2]
pubkeycol629 = [0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0]
pubkeycol630 = [1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1]
pubkeycol631 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1]
pubkeycol632 = [2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1]
pubkeycol633 = [1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0]
pubkeycol634 = [2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0]
pubkeycol635 = [2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0]
pubkeycol636 = [2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0]
pubkeycol637 = [2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2]
pubkeycol638 = [2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0]
pubkeycol639 = [2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0]
pubkeycol640 = [0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0]
pubkeycol641 = [0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1]
pubkeycol642 = [2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0]
pubkeycol643 = [1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0]
pubkeycol644 = [0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0]
pubkeycol645 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2]
pubkeycol646 = [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2]
pubkeycol647 = [1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0]
pubkeycol648 = [2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1]
pubkeycol649 = [1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1]
pubkeycol650 = [1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1]
pubkeycol651 = [1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0]
pubkeycol652 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2]
pubkeycol653 = [1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0]
pubkeycol654 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0]
pubkeycol655 = [2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0]
pubkeycol656 = [1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1]
pubkeycol657 = [2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2]
pubkeycol658 = [1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0]
pubkeycol659 = [2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1]
pubkeycol660 = [2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol661 = [0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0]
pubkeycol662 = [0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2]
pubkeycol663 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1]
pubkeycol664 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2]
pubkeycol665 = [1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2]
pubkeycol666 = [1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0]
pubkeycol667 = [0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2]
pubkeycol668 = [2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1]
pubkeycol669 = [2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2]
pubkeycol670 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2]
pubkeycol671 = [1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0]
pubkeycol672 = [1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1]
pubkeycol673 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0]
pubkeycol674 = [0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2]
pubkeycol675 = [1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2]
pubkeycol676 = [1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2]
pubkeycol677 = [0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0]
pubkeycol678 = [2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1]
pubkeycol679 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2]
pubkeycol680 = [1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1]
pubkeycol681 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0]
pubkeycol682 = [2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2]
pubkeycol683 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0]
pubkeycol684 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2]
pubkeycol685 = [1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1]
pubkeycol686 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1]
pubkeycol687 = [0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2]
pubkeycol688 = [2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2]
pubkeycol689 = [2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2]
pubkeycol690 = [1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0]
pubkeycol691 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2]
pubkeycol692 = [2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0]
pubkeycol693 = [2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0]
pubkeycol694 = [0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0]
pubkeycol695 = [0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1]
pubkeycol696 = [1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0]
pubkeycol697 = [0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1]
pubkeycol698 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0]
pubkeycol699 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0]
pubkeycol700 = [2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0]
pubkeycol701 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2]
pubkeycol702 = [1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1]
pubkeycol703 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2]
pubkeycol704 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2]
pubkeycol705 = [2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0]
pubkeycol706 = [2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0]
pubkeycol707 = [0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2]