kilobytes = 83.9884928072538
q = 5
m = 5
n = 1246
s = 0
t = 16
u = 64
k = 926
w = 40
ciphertext = [1, 2, 2, 3, 4, 4, 3, 0, 4, 2, 0, 3, 2, 2, 1, 0, 1, 4, 4, 2, 0, 1, 4, 4, 1, 0, 2, 2, 3, 3, 0, 4, 2, 3, 1, 1, 1, 2, 4, 2, 0, 4, 0, 1, 3, 3, 4, 1, 4, 3, 0, 3, 3, 1, 1, 3, 3, 3, 2, 4, 1, 1, 0, 2, 2, 1, 1, 4, 1, 4, 3, 0, 4, 3, 0, 0, 3, 4, 2, 4, 2, 4, 3, 3, 0, 2, 2, 3, 3, 0, 4, 3, 0, 3, 2, 0, 3, 3, 0, 3, 2, 1, 1, 3, 0, 2, 3, 3, 3, 3, 2, 3, 0, 0, 0, 0, 4, 0, 2, 2, 2, 2, 3, 4, 3, 1, 4, 0, 4, 4, 2, 0, 3, 0, 3, 4, 4, 3, 3, 3, 3, 1, 3, 0, 2, 3, 4, 3, 4, 2, 0, 3, 3, 2, 0, 2, 2, 3, 3, 1, 2, 0, 4, 4, 2, 0, 4, 3, 1, 0, 3, 1, 2, 3, 3, 0, 0, 2, 1, 3, 2, 3, 0, 4, 2, 3, 2, 3, 2, 3, 0, 0, 2, 2, 3, 1, 4, 3, 2, 0, 2, 2, 1, 2, 3, 0, 1, 2, 2, 3, 1, 0, 3, 0, 1, 0, 1, 1, 1, 3, 0, 2, 3, 2, 4, 0, 1, 3, 4, 4, 0, 0, 1, 1, 1, 0, 3, 1, 2, 0, 0, 0, 3, 1, 2, 0, 2, 0, 1, 1, 0, 4, 4, 1, 0, 4, 2, 3, 1, 0, 3, 3, 1, 0, 1, 2, 1, 2, 4, 0, 2, 1, 1, 4, 3, 2, 4, 1, 2, 1, 4, 1, 4, 3, 1, 1, 0, 1, 2, 0, 3, 0, 0, 1, 2, 3, 0, 3, 1, 2, 1, 0, 4, 0, 2, 0, 1, 2, 0, 2, 4, 3, 3, 3, 4, 1, 4, 4, 2, 2]
recovered_plaintext_using_secret_key = True
pubkeycol320 = [1, 1, 1, 0, 1, 3, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 4, 2, 2, 3, 4, 4, 3, 4, 3, 2, 4, 4, 2, 4, 0, 3, 2, 3, 4, 3, 2, 0, 3, 3, 1, 0, 3, 1, 4, 0, 2, 4, 2, 4, 3, 3, 1, 0, 4, 3, 4, 3, 3, 4, 0, 4, 4, 2, 1, 1, 4, 0, 4, 2, 1, 4, 0, 4, 0, 1, 4, 3, 0, 4, 3, 1, 0, 3, 0, 3, 1, 0, 1, 1, 4, 3, 0, 0, 0, 3, 3, 0, 4, 3, 2, 4, 1, 3, 3, 0, 1, 4, 0, 1, 3, 1, 1, 2, 2, 0, 0, 1, 4, 3, 1, 0, 3, 1, 4, 1, 0, 0, 2, 1, 4, 4, 0, 3, 2, 1, 2, 4, 0, 4, 0, 1, 1, 1, 4, 3, 1, 0, 2, 0, 3, 0, 3, 2, 4, 1, 1, 4, 0, 0, 4, 4, 2, 2, 0, 3, 1, 4, 0, 3, 1, 1, 3, 4, 2, 3, 1, 1, 3, 4, 1, 4, 0, 1, 0, 1, 0, 3, 4, 4, 1, 2, 3, 2, 3, 2, 0, 2, 1, 1, 4, 4, 2, 0, 4, 0, 4, 4, 1, 4, 3, 0, 1, 0, 1, 4, 0, 2, 1, 1, 3, 4, 3, 1, 0, 0, 0, 1, 4, 3, 0, 3, 2, 4, 3, 3, 4, 2, 4, 0, 3, 3, 1, 1, 0, 0, 3, 3, 3, 3, 1, 2, 0, 1, 2, 1, 3, 2, 3, 2, 3, 0, 2, 3, 4, 2, 2, 0, 0, 0, 2, 4, 1, 0, 0, 3, 3, 4, 2, 3, 2, 2, 2, 0, 2, 3, 0, 1, 4, 1, 0, 2, 3, 0, 4, 0, 4, 2, 2, 2, 0, 4, 2, 4, 2, 0, 3, 1, 1, 4, 0, 3, 2, 0, 2, 3, 2, 2, 0, 0]
pubkeycol321 = [2, 0, 3, 2, 3, 3, 1, 0, 1, 2, 2, 0, 3, 4, 1, 2, 3, 3, 4, 1, 4, 3, 1, 4, 2, 3, 0, 4, 4, 1, 0, 3, 2, 3, 2, 3, 2, 3, 4, 3, 2, 4, 3, 3, 2, 2, 3, 0, 4, 4, 3, 1, 0, 0, 4, 1, 0, 3, 3, 1, 0, 0, 4, 3, 0, 1, 4, 2, 0, 0, 2, 3, 0, 0, 0, 4, 2, 4, 0, 2, 2, 4, 1, 4, 3, 0, 3, 3, 4, 3, 1, 3, 1, 1, 2, 0, 4, 4, 2, 4, 3, 2, 1, 2, 2, 3, 4, 2, 3, 3, 2, 3, 3, 0, 3, 3, 2, 3, 1, 2, 1, 2, 3, 2, 3, 2, 4, 2, 0, 0, 0, 4, 4, 4, 3, 0, 0, 1, 0, 0, 4, 3, 2, 2, 2, 0, 2, 2, 0, 4, 1, 4, 4, 3, 3, 1, 2, 1, 0, 2, 0, 4, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 1, 1, 3, 0, 0, 2, 4, 2, 3, 2, 0, 4, 4, 0, 4, 4, 3, 2, 4, 2, 4, 4, 2, 0, 3, 2, 3, 2, 3, 1, 1, 4, 1, 4, 4, 2, 4, 3, 1, 0, 0, 0, 1, 4, 2, 2, 2, 4, 0, 4, 4, 1, 4, 1, 0, 0, 3, 4, 2, 4, 4, 3, 4, 4, 3, 1, 4, 2, 0, 4, 4, 4, 0, 4, 2, 1, 4, 2, 4, 1, 2, 4, 4, 2, 0, 3, 1, 3, 0, 1, 2, 0, 3, 0, 0, 1, 4, 1, 1, 0, 3, 2, 0, 0, 4, 3, 2, 0, 2, 2, 3, 4, 3, 1, 0, 1, 3, 4, 4, 1, 0, 3, 3, 2, 3, 2, 2, 0, 3, 4, 3, 2, 1, 3, 4, 3, 3, 4, 3, 2, 4, 2, 2, 0, 3]
pubkeycol322 = [3, 0, 4, 2, 3, 1, 4, 4, 3, 0, 3, 0, 0, 1, 0, 1, 2, 4, 4, 3, 4, 3, 1, 4, 4, 3, 1, 4, 0, 1, 3, 0, 2, 3, 2, 3, 2, 2, 3, 0, 3, 3, 3, 0, 2, 0, 0, 2, 1, 1, 2, 4, 0, 4, 3, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 4, 1, 2, 4, 1, 3, 2, 2, 0, 0, 2, 4, 2, 0, 3, 3, 1, 0, 1, 1, 0, 0, 3, 2, 1, 2, 4, 0, 2, 1, 1, 0, 0, 3, 1, 3, 1, 1, 1, 0, 1, 4, 2, 3, 4, 0, 2, 0, 1, 2, 3, 2, 4, 4, 4, 4, 2, 4, 0, 1, 1, 4, 0, 3, 4, 0, 1, 3, 4, 1, 0, 3, 0, 2, 3, 2, 2, 0, 1, 2, 0, 0, 3, 3, 0, 4, 0, 2, 3, 1, 0, 0, 1, 1, 0, 2, 3, 2, 2, 0, 2, 1, 3, 1, 3, 2, 1, 3, 3, 0, 0, 1, 1, 3, 3, 4, 0, 2, 3, 1, 2, 4, 3, 1, 4, 4, 4, 3, 2, 1, 3, 1, 1, 2, 0, 3, 2, 4, 4, 0, 4, 1, 2, 0, 3, 4, 1, 1, 0, 3, 2, 3, 4, 4, 3, 2, 0, 2, 1, 1, 2, 1, 3, 0, 0, 3, 3, 0, 3, 2, 0, 1, 0, 3, 2, 3, 4, 4, 0, 2, 1, 3, 3, 0, 3, 3, 2, 3, 0, 0, 3, 1, 4, 4, 4, 0, 0, 3, 3, 0, 3, 0, 0, 0, 4, 0, 1, 1, 2, 4, 0, 2, 0, 2, 0, 2, 3, 1, 0, 0, 4, 0, 4, 4, 0, 1, 0, 0, 1, 3, 4, 2, 3, 0, 1, 1, 2, 1, 4, 0, 4, 4, 2, 2, 3, 0, 1, 3, 0, 0, 0, 1, 2, 1, 1]
pubkeycol323 = [4, 4, 3, 0, 2, 0, 3, 1, 3, 0, 3, 0, 4, 0, 4, 0, 1, 4, 4, 2, 4, 2, 4, 4, 3, 0, 0, 3, 0, 2, 0, 4, 0, 4, 3, 2, 3, 1, 2, 4, 0, 1, 3, 2, 1, 1, 2, 2, 0, 2, 3, 3, 3, 4, 0, 1, 2, 3, 4, 3, 2, 4, 1, 2, 4, 0, 3, 1, 3, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 1, 2, 3, 0, 1, 4, 4, 4, 4, 1, 4, 0, 3, 1, 3, 3, 0, 3, 2, 4, 1, 4, 4, 4, 3, 3, 2, 3, 1, 2, 4, 0, 1, 2, 0, 3, 4, 0, 1, 0, 1, 1, 0, 0, 3, 3, 2, 3, 3, 4, 3, 3, 1, 2, 3, 0, 0, 4, 4, 4, 4, 3, 0, 4, 2, 1, 4, 4, 2, 4, 0, 0, 3, 0, 1, 1, 1, 3, 0, 1, 1, 1, 4, 3, 4, 1, 3, 3, 4, 0, 4, 4, 2, 0, 4, 1, 3, 2, 4, 4, 3, 4, 3, 0, 1, 4, 2, 2, 1, 0, 3, 1, 2, 3, 1, 3, 0, 1, 4, 1, 0, 0, 4, 4, 0, 3, 2, 0, 1, 0, 2, 2, 4, 0, 4, 3, 0, 1, 0, 0, 0, 2, 4, 0, 3, 4, 0, 4, 1, 1, 4, 1, 0, 3, 1, 4, 1, 4, 1, 0, 1, 2, 0, 3, 4, 3, 0, 2, 0, 0, 3, 3, 4, 3, 2, 0, 2, 4, 0, 1, 4, 3, 0, 2, 1, 4, 2, 1, 1, 3, 2, 1, 2, 3, 4, 0, 1, 4, 2, 4, 1, 2, 4, 2, 2, 0, 4, 1, 1, 3, 3, 1, 2, 0, 2, 1, 1, 3, 0, 1, 0, 2, 4, 4, 3, 4, 4, 2, 1, 3, 1, 4, 0, 2, 4, 1, 1, 3, 0, 4]
pubkeycol324 = [3, 2, 3, 0, 0, 2, 0, 2, 4, 2, 4, 4, 3, 2, 4, 0, 2, 0, 0, 3, 3, 2, 4, 0, 1, 3, 4, 4, 4, 2, 3, 4, 0, 3, 2, 1, 1, 1, 0, 1, 2, 1, 3, 0, 3, 1, 4, 0, 2, 1, 0, 4, 2, 3, 3, 4, 1, 0, 2, 0, 0, 4, 1, 3, 2, 0, 3, 3, 0, 0, 3, 4, 2, 3, 4, 4, 2, 1, 4, 1, 1, 2, 4, 2, 0, 1, 2, 1, 4, 4, 3, 0, 1, 3, 4, 0, 3, 1, 1, 2, 3, 3, 4, 0, 1, 0, 2, 2, 4, 4, 1, 2, 0, 1, 3, 4, 4, 0, 0, 1, 2, 4, 2, 0, 1, 0, 4, 4, 0, 4, 2, 3, 3, 2, 4, 0, 3, 3, 4, 1, 3, 3, 1, 4, 1, 4, 4, 1, 1, 2, 4, 3, 1, 1, 0, 1, 0, 4, 4, 2, 1, 1, 0, 3, 3, 1, 3, 4, 3, 4, 1, 4, 4, 3, 2, 0, 3, 2, 0, 4, 0, 1, 1, 2, 2, 3, 1, 3, 2, 2, 4, 1, 0, 0, 0, 3, 3, 2, 0, 1, 4, 0, 0, 3, 0, 0, 3, 3, 0, 1, 0, 3, 0, 0, 0, 1, 1, 1, 3, 3, 2, 2, 1, 1, 0, 1, 2, 3, 0, 3, 3, 4, 4, 1, 3, 2, 2, 2, 3, 0, 4, 0, 3, 4, 0, 4, 4, 1, 4, 3, 3, 1, 1, 2, 0, 0, 3, 2, 0, 1, 0, 4, 3, 0, 3, 4, 1, 1, 0, 3, 0, 3, 4, 0, 0, 4, 3, 1, 4, 4, 0, 0, 4, 1, 0, 2, 0, 4, 3, 1, 3, 4, 2, 0, 3, 4, 0, 4, 0, 0, 1, 4, 0, 3, 4, 3, 3, 2, 2, 1, 0, 3, 0, 0, 1, 0, 0, 3, 4, 1]
pubkeycol325 = [3, 3, 1, 4, 0, 4, 2, 1, 0, 2, 3, 3, 0, 4, 1, 3, 1, 3, 2, 1, 1, 4, 2, 0, 4, 4, 1, 2, 0, 2, 1, 1, 0, 1, 4, 2, 2, 3, 3, 3, 2, 0, 4, 1, 0, 2, 0, 0, 3, 4, 2, 0, 0, 4, 3, 4, 0, 0, 1, 1, 2, 4, 4, 2, 1, 3, 0, 2, 3, 4, 2, 3, 4, 3, 1, 3, 1, 3, 4, 0, 2, 2, 2, 2, 2, 4, 2, 4, 4, 4, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 4, 3, 1, 3, 0, 0, 4, 0, 3, 2, 0, 0, 4, 3, 4, 2, 3, 2, 1, 3, 3, 4, 4, 2, 1, 4, 1, 3, 1, 0, 2, 0, 2, 3, 2, 0, 1, 0, 1, 4, 0, 1, 2, 0, 4, 0, 4, 3, 1, 4, 3, 0, 4, 2, 3, 2, 4, 4, 1, 1, 0, 4, 1, 0, 3, 3, 2, 3, 2, 4, 3, 4, 1, 3, 4, 1, 3, 3, 1, 2, 1, 4, 4, 0, 1, 4, 1, 0, 4, 3, 4, 2, 2, 0, 3, 1, 1, 1, 4, 2, 2, 0, 4, 0, 3, 0, 2, 2, 2, 3, 0, 4, 3, 3, 4, 0, 3, 3, 0, 4, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 3, 1, 2, 3, 4, 1, 0, 0, 1, 0, 4, 2, 1, 4, 4, 3, 1, 0, 1, 1, 0, 1, 3, 0, 3, 0, 3, 4, 1, 4, 1, 3, 4, 3, 3, 3, 1, 2, 1, 2, 2, 0, 3, 4, 3, 0, 0, 4, 1, 2, 4, 4, 1, 0, 1, 4, 3, 0, 0, 1, 4, 0, 1, 4, 3, 2, 0, 1, 2, 1, 0, 2, 3, 2, 2, 0, 4, 2, 3, 4, 2, 3, 4, 1, 3, 0, 1, 2, 0]
pubkeycol326 = [0, 3, 2, 0, 0, 1, 3, 4, 3, 2, 2, 1, 3, 3, 1, 4, 4, 1, 4, 2, 3, 3, 1, 1, 3, 1, 1, 0, 2, 2, 3, 2, 1, 1, 1, 4, 1, 0, 2, 4, 0, 4, 4, 4, 2, 1, 1, 3, 1, 0, 1, 4, 2, 0, 3, 4, 3, 2, 4, 4, 0, 3, 2, 4, 2, 2, 3, 2, 1, 1, 2, 4, 3, 3, 3, 3, 4, 1, 1, 2, 0, 3, 0, 3, 0, 0, 0, 1, 0, 3, 2, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 0, 4, 1, 0, 1, 1, 1, 4, 0, 0, 0, 4, 4, 3, 2, 0, 4, 3, 4, 3, 1, 3, 0, 0, 4, 3, 3, 2, 4, 1, 0, 0, 2, 1, 0, 3, 1, 2, 0, 4, 1, 2, 3, 1, 1, 1, 2, 0, 2, 0, 4, 3, 3, 4, 1, 3, 4, 0, 1, 1, 4, 4, 0, 0, 3, 2, 0, 3, 1, 3, 2, 4, 1, 3, 0, 2, 2, 2, 3, 2, 3, 4, 0, 0, 1, 2, 3, 3, 2, 1, 4, 4, 3, 2, 4, 1, 2, 4, 0, 4, 1, 4, 4, 3, 1, 0, 2, 2, 3, 2, 1, 0, 3, 3, 1, 1, 2, 0, 4, 0, 0, 3, 2, 3, 2, 1, 3, 3, 3, 3, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 4, 3, 1, 2, 3, 2, 2, 1, 4, 3, 2, 2, 2, 1, 4, 3, 0, 1, 2, 3, 0, 0, 1, 3, 2, 1, 1, 0, 2, 4, 4, 3, 1, 4, 4, 3, 4, 0, 2, 2, 1, 4, 4, 0, 4, 2, 1, 3, 4, 3, 4, 4, 1, 0, 1, 2, 2, 1, 2, 4, 3, 4, 2, 4, 3, 3, 0, 0, 3, 3, 2, 2, 2, 4, 2, 4, 2, 4, 0]
pubkeycol327 = [1, 2, 3, 0, 0, 4, 4, 4, 2, 2, 1, 2, 2, 1, 2, 3, 1, 4, 2, 2, 4, 2, 3, 2, 4, 2, 4, 2, 3, 1, 0, 3, 0, 2, 1, 4, 2, 2, 0, 0, 4, 0, 3, 0, 0, 2, 2, 0, 1, 4, 4, 1, 4, 1, 4, 0, 0, 3, 2, 0, 0, 3, 4, 1, 1, 4, 2, 4, 0, 4, 1, 0, 1, 4, 3, 1, 3, 3, 0, 4, 3, 1, 2, 3, 4, 4, 1, 1, 1, 2, 1, 3, 2, 2, 1, 0, 4, 4, 0, 0, 1, 0, 2, 1, 0, 4, 2, 4, 3, 0, 3, 3, 0, 0, 1, 0, 2, 0, 1, 3, 0, 3, 3, 4, 2, 1, 0, 0, 1, 2, 0, 3, 2, 0, 0, 4, 4, 1, 1, 0, 1, 1, 3, 2, 0, 2, 1, 3, 4, 1, 2, 1, 4, 4, 4, 0, 1, 4, 0, 1, 2, 4, 3, 1, 0, 4, 0, 0, 0, 4, 2, 1, 1, 0, 1, 2, 2, 2, 0, 3, 1, 1, 0, 1, 2, 4, 1, 4, 1, 1, 2, 1, 0, 3, 0, 3, 0, 0, 3, 1, 1, 1, 1, 1, 4, 1, 2, 2, 0, 0, 1, 0, 4, 1, 1, 4, 3, 2, 3, 1, 3, 3, 4, 1, 2, 0, 2, 2, 2, 0, 3, 0, 2, 3, 1, 3, 0, 3, 2, 3, 0, 1, 3, 4, 4, 0, 0, 2, 0, 2, 0, 4, 3, 3, 2, 3, 1, 0, 4, 2, 3, 4, 1, 4, 1, 3, 3, 4, 0, 1, 1, 4, 2, 0, 1, 3, 3, 4, 4, 4, 4, 1, 4, 2, 2, 3, 3, 1, 3, 0, 0, 2, 3, 2, 3, 1, 1, 1, 4, 0, 1, 0, 3, 1, 2, 2, 4, 1, 0, 4, 2, 2, 1, 4, 4, 3, 1, 0, 1, 4]
pubkeycol328 = [2, 2, 4, 1, 3, 3, 1, 2, 3, 1, 1, 1, 4, 4, 1, 3, 0, 3, 4, 0, 1, 4, 0, 1, 0, 4, 2, 4, 0, 1, 4, 4, 3, 0, 4, 2, 2, 1, 1, 0, 1, 0, 1, 1, 3, 4, 2, 4, 2, 0, 1, 0, 4, 4, 1, 0, 2, 3, 3, 2, 0, 2, 4, 3, 4, 1, 1, 4, 3, 4, 0, 0, 3, 3, 0, 0, 1, 1, 4, 1, 0, 0, 0, 1, 0, 2, 1, 3, 4, 1, 4, 2, 3, 1, 3, 3, 1, 3, 2, 0, 2, 4, 0, 3, 4, 4, 4, 4, 0, 0, 0, 2, 3, 3, 1, 3, 2, 0, 4, 0, 1, 0, 2, 1, 4, 4, 3, 4, 1, 2, 0, 4, 3, 0, 3, 0, 1, 4, 1, 2, 4, 0, 0, 2, 0, 0, 2, 1, 1, 1, 4, 3, 3, 1, 2, 1, 2, 3, 2, 1, 3, 0, 3, 1, 4, 4, 4, 3, 3, 1, 0, 4, 1, 2, 3, 2, 1, 2, 0, 3, 3, 3, 3, 2, 3, 1, 4, 2, 3, 0, 3, 4, 3, 3, 3, 2, 2, 4, 1, 4, 4, 3, 0, 2, 0, 3, 1, 3, 3, 0, 0, 2, 3, 0, 1, 3, 3, 3, 0, 4, 4, 3, 4, 1, 2, 0, 2, 3, 0, 0, 2, 3, 2, 2, 0, 4, 4, 4, 1, 2, 1, 4, 2, 4, 4, 4, 1, 2, 0, 3, 1, 4, 0, 1, 3, 1, 1, 2, 1, 3, 1, 3, 0, 4, 1, 4, 4, 3, 1, 1, 0, 3, 0, 2, 4, 2, 4, 1, 0, 1, 4, 3, 1, 0, 1, 4, 2, 2, 3, 2, 0, 3, 1, 2, 1, 0, 1, 3, 2, 3, 4, 4, 0, 3, 3, 2, 1, 0, 3, 1, 0, 4, 1, 3, 2, 4, 0, 0, 1, 4]
pubkeycol329 = [4, 3, 0, 2, 0, 1, 2, 1, 1, 4, 4, 3, 4, 4, 2, 4, 1, 3, 1, 2, 1, 4, 4, 1, 3, 1, 2, 1, 4, 3, 1, 1, 1, 0, 2, 2, 2, 3, 0, 0, 0, 4, 3, 4, 4, 1, 1, 0, 3, 2, 0, 3, 4, 0, 0, 4, 2, 1, 0, 4, 4, 2, 1, 4, 0, 1, 4, 4, 1, 0, 0, 0, 2, 4, 4, 4, 1, 0, 4, 4, 0, 2, 1, 4, 2, 2, 0, 2, 3, 2, 0, 1, 2, 2, 0, 4, 1, 0, 4, 3, 1, 3, 2, 1, 0, 1, 4, 0, 1, 2, 0, 3, 3, 1, 3, 2, 4, 1, 0, 2, 0, 0, 0, 4, 4, 3, 4, 3, 4, 3, 4, 3, 2, 2, 3, 2, 4, 4, 3, 0, 3, 3, 4, 2, 3, 1, 0, 2, 3, 2, 0, 4, 4, 0, 3, 3, 4, 2, 0, 2, 2, 4, 2, 1, 4, 3, 4, 4, 3, 3, 4, 1, 4, 3, 1, 1, 3, 4, 3, 4, 4, 4, 2, 3, 2, 4, 2, 4, 4, 1, 0, 3, 1, 3, 0, 3, 3, 2, 1, 1, 4, 2, 0, 1, 4, 0, 4, 1, 0, 3, 4, 3, 3, 2, 3, 2, 3, 1, 2, 0, 4, 2, 0, 3, 4, 2, 3, 3, 3, 3, 1, 2, 3, 0, 2, 0, 4, 4, 2, 1, 1, 4, 0, 0, 0, 3, 1, 3, 0, 0, 3, 4, 4, 4, 1, 0, 3, 2, 3, 3, 4, 4, 1, 3, 4, 4, 4, 3, 2, 0, 4, 4, 3, 3, 3, 0, 4, 4, 0, 3, 1, 2, 0, 4, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 3, 2, 4, 3, 1, 0, 3, 0, 0, 3, 0, 3, 0, 2, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 1, 3]
pubkeycol330 = [2, 3, 0, 3, 1, 1, 4, 3, 4, 3, 2, 1, 4, 0, 1, 3, 2, 1, 2, 3, 2, 1, 2, 3, 1, 0, 3, 0, 2, 0, 2, 3, 2, 2, 0, 0, 3, 0, 0, 3, 3, 4, 0, 3, 2, 3, 3, 4, 3, 3, 0, 2, 2, 4, 0, 2, 0, 4, 1, 2, 3, 1, 2, 1, 0, 2, 2, 1, 3, 0, 4, 3, 0, 0, 0, 4, 1, 2, 2, 3, 4, 4, 2, 2, 2, 1, 0, 2, 0, 0, 0, 3, 1, 2, 2, 4, 2, 1, 3, 0, 1, 0, 1, 1, 3, 2, 0, 1, 1, 4, 0, 4, 3, 3, 1, 4, 1, 0, 3, 2, 4, 4, 1, 1, 0, 2, 3, 0, 1, 2, 2, 1, 3, 0, 3, 0, 3, 4, 1, 2, 2, 1, 0, 3, 4, 4, 3, 4, 4, 4, 4, 1, 4, 0, 2, 4, 4, 0, 1, 2, 4, 3, 2, 4, 4, 4, 4, 4, 2, 2, 1, 2, 2, 2, 3, 3, 4, 3, 3, 2, 2, 0, 2, 0, 4, 1, 0, 1, 1, 1, 4, 0, 4, 1, 0, 0, 3, 0, 3, 2, 3, 2, 0, 0, 3, 2, 2, 1, 3, 1, 3, 1, 0, 3, 2, 1, 2, 1, 3, 2, 0, 0, 3, 1, 4, 4, 2, 0, 1, 2, 0, 3, 4, 4, 2, 2, 3, 3, 2, 2, 3, 2, 4, 2, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 1, 2, 1, 1, 1, 4, 0, 3, 4, 0, 0, 2, 3, 1, 1, 1, 4, 0, 4, 1, 0, 2, 2, 1, 4, 0, 2, 2, 0, 0, 4, 3, 1, 1, 4, 1, 3, 4, 3, 3, 0, 1, 4, 2, 2, 0, 1, 2, 3, 1, 1, 4, 1, 0, 2, 3, 2, 0, 2, 1, 3, 4, 2, 1, 4, 1]
pubkeycol331 = [4, 1, 4, 2, 2, 1, 3, 0, 0, 4, 3, 1, 4, 1, 3, 0, 1, 4, 4, 3, 2, 3, 0, 0, 0, 3, 2, 1, 2, 0, 0, 0, 1, 1, 3, 2, 2, 1, 3, 4, 2, 1, 4, 4, 1, 1, 0, 0, 3, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 2, 3, 4, 4, 3, 4, 1, 2, 0, 0, 2, 3, 2, 0, 1, 0, 0, 4, 4, 1, 1, 3, 1, 2, 2, 4, 3, 4, 3, 0, 3, 1, 0, 2, 3, 3, 1, 2, 4, 4, 1, 3, 4, 2, 3, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 4, 0, 3, 1, 0, 2, 1, 2, 0, 3, 3, 3, 1, 3, 2, 2, 0, 2, 1, 3, 2, 1, 2, 1, 3, 3, 0, 3, 1, 4, 0, 1, 2, 1, 0, 1, 3, 3, 1, 2, 1, 1, 2, 3, 2, 1, 1, 0, 3, 3, 1, 3, 0, 2, 4, 0, 3, 0, 2, 1, 2, 0, 4, 2, 4, 3, 3, 2, 2, 1, 0, 4, 0, 4, 0, 0, 3, 3, 0, 1, 2, 3, 0, 3, 3, 1, 0, 2, 2, 0, 0, 3, 1, 3, 2, 2, 3, 1, 4, 1, 0, 3, 4, 0, 0, 1, 4, 4, 0, 2, 3, 1, 1, 1, 1, 4, 1, 2, 4, 0, 1, 3, 4, 4, 1, 0, 2, 4, 2, 1, 3, 2, 4, 3, 4, 4, 2, 0, 0, 1, 4, 1, 2, 1, 2, 2, 4, 0, 1, 3, 2, 3, 0, 0, 4, 0, 2, 0, 4, 4, 2, 3, 2, 1, 1, 1, 0, 1, 4, 2, 3, 1, 0, 1, 2, 3, 3, 1, 4, 4, 3, 3, 3, 0, 4, 1, 4, 0, 3, 1, 3, 4, 2, 4, 3, 4, 0, 4, 1, 1, 2, 2]
pubkeycol332 = [1, 0, 2, 0, 1, 0, 1, 2, 3, 1, 1, 1, 4, 4, 3, 1, 1, 0, 0, 1, 4, 4, 4, 3, 3, 2, 3, 2, 3, 2, 1, 3, 2, 4, 0, 0, 2, 3, 4, 2, 2, 4, 3, 1, 1, 3, 3, 0, 1, 4, 1, 3, 3, 0, 1, 4, 3, 1, 1, 2, 4, 0, 4, 4, 4, 3, 0, 2, 2, 4, 3, 1, 0, 1, 3, 4, 0, 4, 0, 1, 1, 3, 3, 2, 1, 3, 0, 3, 4, 4, 3, 4, 3, 2, 3, 0, 4, 0, 4, 3, 0, 2, 3, 1, 0, 3, 2, 2, 4, 2, 2, 3, 0, 0, 0, 3, 1, 1, 0, 3, 1, 2, 3, 2, 0, 0, 0, 0, 3, 0, 3, 4, 1, 0, 0, 4, 0, 2, 0, 2, 0, 1, 0, 4, 2, 1, 2, 1, 2, 1, 2, 2, 4, 2, 0, 2, 1, 3, 3, 0, 4, 4, 4, 0, 2, 0, 4, 1, 3, 4, 4, 2, 1, 4, 0, 4, 0, 0, 4, 2, 3, 0, 0, 4, 4, 2, 0, 2, 0, 3, 1, 1, 1, 3, 2, 3, 4, 4, 2, 4, 0, 3, 3, 2, 0, 1, 0, 3, 2, 1, 2, 2, 1, 3, 0, 1, 4, 0, 2, 4, 1, 0, 1, 2, 4, 4, 1, 3, 0, 2, 3, 3, 1, 0, 3, 4, 2, 4, 3, 1, 2, 1, 1, 0, 1, 1, 3, 3, 0, 3, 0, 4, 2, 3, 2, 2, 0, 4, 4, 1, 1, 3, 0, 1, 2, 1, 2, 3, 0, 3, 3, 4, 0, 0, 3, 3, 4, 2, 0, 0, 0, 1, 2, 0, 2, 3, 2, 3, 1, 1, 4, 0, 3, 3, 0, 2, 2, 3, 2, 0, 1, 2, 0, 2, 1, 1, 2, 4, 0, 2, 2, 1, 0, 1, 4, 2, 0, 2, 3, 3]
pubkeycol333 = [4, 3, 4, 0, 1, 1, 4, 0, 3, 1, 4, 0, 3, 4, 2, 4, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 3, 0, 1, 3, 2, 1, 1, 3, 1, 1, 3, 4, 0, 3, 0, 1, 4, 4, 0, 3, 4, 1, 3, 0, 4, 3, 4, 2, 1, 2, 4, 0, 2, 1, 2, 1, 2, 3, 1, 3, 4, 2, 3, 0, 0, 3, 2, 4, 1, 4, 4, 3, 3, 1, 1, 0, 4, 2, 2, 3, 0, 3, 4, 4, 3, 2, 3, 3, 1, 2, 4, 3, 4, 3, 1, 3, 0, 1, 0, 1, 4, 4, 2, 0, 0, 0, 1, 2, 3, 3, 0, 3, 1, 0, 1, 0, 3, 3, 4, 2, 1, 4, 3, 2, 0, 0, 4, 0, 4, 4, 0, 4, 3, 3, 4, 4, 3, 3, 3, 1, 4, 3, 2, 0, 1, 1, 2, 3, 1, 2, 3, 1, 0, 2, 3, 3, 0, 3, 0, 0, 3, 2, 4, 3, 2, 2, 1, 3, 4, 4, 1, 0, 2, 2, 1, 2, 0, 0, 3, 4, 2, 0, 0, 2, 2, 3, 3, 4, 4, 2, 3, 1, 3, 0, 1, 2, 0, 4, 0, 4, 1, 2, 0, 2, 4, 0, 3, 2, 2, 2, 0, 4, 1, 3, 4, 2, 0, 3, 4, 4, 3, 3, 4, 2, 2, 2, 0, 4, 4, 2, 2, 2, 1, 2, 1, 2, 3, 2, 2, 3, 4, 2, 3, 3, 3, 1, 4, 0, 4, 0, 2, 4, 3, 4, 2, 0, 2, 1, 1, 2, 4, 2, 3, 0, 3, 0, 1, 0, 4, 0, 3, 1, 1, 1, 4, 2, 0, 2, 4, 3, 2, 4, 2, 2, 3, 4, 4, 1, 3, 2, 1, 2, 1, 0, 1, 3, 0, 3, 4, 0, 4, 3, 1, 1, 1]
pubkeycol334 = [2, 2, 3, 4, 0, 2, 2, 0, 2, 4, 1, 1, 0, 3, 0, 4, 0, 3, 4, 2, 3, 4, 2, 0, 1, 0, 3, 1, 3, 0, 2, 3, 0, 0, 4, 4, 1, 3, 3, 3, 3, 2, 0, 0, 2, 0, 2, 4, 3, 4, 4, 2, 1, 3, 2, 1, 0, 1, 2, 2, 3, 1, 0, 3, 4, 2, 3, 1, 2, 1, 4, 0, 2, 2, 1, 0, 1, 2, 4, 0, 2, 0, 1, 1, 2, 0, 4, 3, 4, 3, 3, 0, 3, 1, 4, 3, 4, 0, 4, 2, 0, 4, 4, 0, 1, 4, 3, 3, 3, 4, 4, 4, 4, 2, 3, 0, 0, 3, 3, 2, 0, 3, 0, 3, 2, 3, 2, 0, 1, 4, 2, 0, 0, 3, 4, 2, 4, 2, 1, 1, 2, 0, 3, 3, 4, 3, 3, 4, 1, 1, 0, 4, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 1, 4, 0, 1, 1, 3, 4, 0, 4, 4, 1, 4, 2, 4, 3, 0, 1, 2, 2, 1, 4, 2, 1, 2, 2, 2, 2, 1, 2, 4, 2, 0, 4, 2, 3, 1, 4, 1, 0, 3, 2, 1, 2, 0, 0, 3, 0, 4, 3, 4, 4, 3, 1, 4, 4, 0, 0, 3, 4, 0, 0, 2, 4, 4, 4, 1, 4, 2, 3, 1, 0, 3, 3, 0, 3, 2, 1, 3, 4, 0, 2, 1, 4, 0, 4, 1, 4, 4, 0, 0, 2, 0, 3, 1, 1, 2, 1, 2, 2, 1, 0, 4, 2, 4, 0, 3, 3, 4, 3, 0, 4, 3, 4, 0, 3, 1, 3, 0, 0, 4, 0, 4, 4, 0, 3, 2, 0, 2, 1, 2, 2, 0, 2, 3, 0, 4, 1, 1, 0, 4, 1, 4, 4, 2, 3, 2, 2, 0, 2, 0, 2, 3, 0, 1, 2, 3, 1, 0]
pubkeycol335 = [1, 1, 0, 3, 1, 2, 4, 4, 0, 0, 2, 2, 4, 3, 2, 3, 0, 4, 3, 2, 0, 0, 1, 1, 4, 0, 2, 4, 0, 4, 3, 4, 1, 2, 1, 4, 4, 3, 3, 4, 4, 4, 1, 2, 3, 0, 1, 3, 0, 2, 0, 1, 4, 0, 2, 3, 1, 1, 2, 0, 1, 1, 3, 4, 0, 2, 2, 1, 4, 4, 2, 1, 3, 3, 3, 0, 4, 2, 1, 4, 3, 3, 0, 0, 3, 4, 2, 4, 2, 3, 4, 1, 1, 3, 3, 2, 3, 0, 1, 0, 4, 0, 0, 0, 3, 1, 2, 0, 3, 0, 2, 3, 1, 1, 0, 4, 1, 2, 1, 2, 2, 1, 0, 0, 4, 1, 2, 3, 4, 2, 0, 4, 3, 1, 1, 0, 2, 3, 3, 0, 2, 0, 4, 0, 2, 1, 0, 1, 0, 4, 4, 0, 2, 2, 3, 4, 2, 0, 0, 2, 3, 3, 4, 4, 1, 4, 4, 3, 0, 3, 1, 3, 1, 4, 3, 2, 3, 2, 2, 4, 1, 3, 0, 1, 4, 0, 3, 2, 1, 0, 4, 0, 4, 3, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 3, 2, 3, 0, 3, 0, 4, 4, 3, 2, 1, 1, 2, 3, 1, 2, 3, 4, 2, 1, 4, 1, 0, 0, 2, 2, 4, 0, 4, 0, 1, 3, 4, 0, 2, 0, 4, 4, 4, 3, 1, 1, 4, 2, 0, 4, 4, 4, 2, 0, 0, 0, 1, 0, 1, 0, 4, 4, 1, 1, 0, 2, 1, 0, 2, 2, 3, 0, 1, 0, 1, 2, 3, 1, 2, 4, 3, 2, 2, 3, 1, 2, 2, 1, 3, 0, 0, 0, 1, 4, 0, 3, 0, 2, 2, 0, 2, 3, 0, 4, 3, 1, 4, 1, 0, 4, 3, 1, 2, 4, 1, 3, 4]
pubkeycol336 = [3, 4, 0, 0, 0, 1, 2, 3, 3, 2, 3, 0, 0, 1, 3, 3, 3, 0, 1, 4, 4, 3, 0, 2, 1, 1, 2, 3, 1, 1, 2, 3, 4, 0, 4, 3, 3, 3, 4, 1, 2, 4, 1, 4, 0, 3, 0, 2, 4, 1, 1, 0, 1, 1, 4, 3, 3, 0, 0, 4, 1, 1, 4, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 0, 4, 0, 4, 2, 0, 4, 4, 4, 3, 4, 4, 2, 4, 3, 4, 0, 3, 3, 1, 4, 1, 3, 1, 2, 4, 4, 1, 3, 2, 1, 4, 4, 0, 2, 3, 2, 1, 1, 0, 2, 2, 3, 1, 0, 4, 2, 0, 4, 3, 0, 1, 0, 3, 1, 0, 2, 0, 2, 3, 3, 4, 1, 2, 1, 4, 2, 2, 1, 0, 2, 4, 0, 1, 4, 3, 3, 4, 1, 3, 4, 2, 1, 3, 0, 0, 4, 2, 0, 4, 0, 3, 4, 3, 2, 3, 0, 1, 2, 0, 4, 2, 1, 0, 2, 1, 3, 4, 1, 0, 4, 2, 2, 1, 0, 4, 1, 4, 4, 1, 2, 2, 3, 4, 0, 0, 3, 4, 4, 2, 4, 4, 0, 1, 4, 4, 2, 3, 4, 0, 4, 3, 2, 2, 0, 3, 3, 3, 1, 2, 1, 2, 0, 0, 0, 1, 3, 2, 1, 0, 4, 0, 1, 2, 0, 0, 3, 4, 3, 1, 3, 3, 3, 3, 3, 0, 2, 4, 4, 2, 2, 3, 0, 4, 4, 1, 1, 4, 4, 3, 4, 0, 0, 1, 4, 0, 3, 0, 1, 1, 2, 3, 1, 4, 4, 3, 2, 2, 2, 0, 2, 2, 4, 0, 2, 0, 3, 1, 1, 4, 0, 4, 0, 1, 2, 0, 0, 3, 3, 4, 1, 4, 2, 3, 4, 1, 3, 0, 1, 1, 3, 4, 2, 1, 0, 3, 0]
pubkeycol337 = [1, 2, 3, 4, 0, 3, 4, 1, 0, 0, 4, 0, 3, 1, 2, 2, 2, 3, 0, 1, 3, 3, 4, 4, 3, 1, 2, 1, 0, 4, 1, 2, 0, 2, 1, 2, 3, 4, 2, 2, 2, 3, 4, 1, 4, 2, 4, 3, 1, 0, 0, 1, 2, 4, 4, 2, 0, 0, 3, 1, 1, 2, 1, 2, 2, 1, 4, 4, 2, 4, 4, 0, 3, 1, 4, 2, 0, 2, 4, 0, 1, 2, 1, 0, 0, 0, 4, 4, 0, 0, 1, 3, 0, 4, 3, 0, 3, 1, 4, 3, 3, 2, 3, 1, 2, 3, 3, 4, 4, 1, 3, 4, 1, 4, 3, 0, 3, 0, 2, 3, 0, 0, 4, 2, 2, 4, 0, 4, 2, 1, 4, 4, 4, 3, 0, 4, 4, 3, 4, 2, 3, 4, 0, 0, 3, 1, 4, 0, 0, 1, 4, 2, 1, 4, 4, 1, 0, 4, 3, 0, 1, 0, 2, 2, 0, 3, 3, 4, 0, 3, 3, 4, 0, 0, 3, 0, 4, 0, 4, 4, 2, 2, 1, 0, 1, 0, 4, 3, 3, 2, 4, 4, 1, 2, 0, 1, 2, 2, 1, 1, 3, 4, 3, 0, 2, 4, 2, 0, 0, 3, 3, 2, 3, 2, 1, 2, 0, 0, 1, 2, 2, 4, 2, 2, 4, 4, 4, 3, 0, 2, 0, 3, 0, 3, 0, 2, 3, 2, 1, 4, 2, 1, 1, 1, 1, 4, 2, 2, 1, 2, 4, 4, 2, 3, 0, 3, 2, 0, 4, 3, 2, 0, 1, 4, 2, 0, 2, 4, 4, 1, 1, 4, 1, 1, 3, 1, 3, 0, 4, 0, 1, 1, 0, 0, 2, 2, 1, 2, 3, 4, 4, 3, 2, 4, 2, 3, 4, 3, 0, 1, 2, 2, 1, 0, 4, 2, 4, 4, 1, 1, 2, 0, 0, 1, 4, 2, 1, 4, 0, 3]
pubkeycol338 = [3, 4, 4, 0, 2, 0, 1, 2, 4, 1, 1, 0, 0, 2, 0, 3, 3, 1, 2, 2, 3, 2, 4, 3, 0, 0, 3, 4, 1, 4, 2, 0, 4, 4, 0, 2, 1, 1, 2, 0, 3, 0, 4, 1, 2, 4, 2, 2, 4, 0, 3, 2, 1, 3, 4, 4, 4, 2, 1, 0, 0, 1, 3, 0, 1, 3, 0, 3, 2, 0, 1, 3, 3, 1, 0, 0, 4, 0, 3, 3, 0, 0, 4, 1, 3, 1, 2, 4, 0, 2, 3, 4, 2, 1, 1, 4, 4, 4, 2, 0, 3, 4, 0, 2, 4, 0, 3, 1, 1, 0, 2, 3, 3, 2, 1, 1, 2, 4, 2, 1, 2, 3, 4, 1, 3, 3, 0, 0, 2, 4, 4, 2, 0, 4, 3, 3, 1, 3, 3, 3, 1, 4, 1, 3, 2, 0, 3, 0, 4, 1, 0, 3, 3, 3, 3, 3, 2, 0, 2, 0, 3, 1, 2, 2, 2, 4, 1, 2, 3, 4, 2, 4, 3, 3, 3, 1, 0, 0, 4, 3, 3, 0, 2, 2, 1, 2, 3, 2, 0, 0, 3, 1, 4, 4, 1, 3, 0, 2, 3, 2, 2, 2, 1, 3, 1, 4, 2, 2, 2, 1, 0, 3, 1, 2, 1, 0, 4, 0, 3, 0, 3, 0, 4, 4, 4, 2, 4, 3, 2, 3, 0, 1, 4, 2, 1, 0, 2, 1, 3, 1, 4, 2, 3, 4, 2, 0, 4, 4, 0, 4, 4, 1, 1, 1, 0, 0, 2, 4, 0, 3, 1, 4, 1, 3, 0, 4, 3, 2, 3, 2, 1, 0, 3, 4, 0, 4, 0, 4, 4, 1, 3, 4, 4, 3, 0, 0, 4, 3, 1, 4, 4, 3, 4, 4, 4, 3, 4, 0, 3, 3, 0, 1, 3, 1, 4, 3, 3, 2, 3, 1, 2, 4, 1, 2, 3, 2, 2, 4, 3, 4]
pubkeycol339 = [4, 2, 0, 4, 0, 0, 1, 4, 0, 0, 1, 3, 0, 1, 2, 4, 1, 0, 4, 3, 1, 0, 2, 0, 1, 0, 4, 3, 4, 3, 3, 3, 3, 3, 0, 0, 3, 0, 1, 0, 3, 0, 1, 4, 2, 4, 3, 0, 0, 1, 0, 2, 0, 0, 4, 1, 0, 2, 4, 0, 0, 0, 1, 2, 4, 3, 2, 3, 1, 3, 4, 2, 0, 4, 1, 1, 2, 3, 4, 4, 4, 4, 3, 1, 4, 2, 4, 2, 1, 1, 2, 1, 1, 3, 4, 0, 4, 0, 4, 3, 0, 3, 4, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 3, 3, 4, 0, 1, 0, 3, 3, 4, 3, 0, 0, 1, 1, 0, 0, 1, 0, 1, 4, 1, 4, 1, 2, 3, 2, 1, 2, 0, 2, 2, 2, 2, 4, 4, 1, 4, 1, 1, 0, 2, 4, 3, 3, 1, 1, 2, 2, 4, 1, 1, 4, 4, 1, 1, 2, 1, 3, 4, 1, 0, 2, 4, 4, 4, 1, 0, 1, 0, 1, 4, 2, 4, 4, 0, 1, 4, 1, 4, 3, 2, 2, 0, 0, 2, 4, 1, 2, 3, 4, 3, 2, 3, 3, 0, 0, 2, 2, 1, 3, 3, 4, 2, 4, 0, 0, 0, 4, 3, 3, 0, 0, 4, 2, 2, 3, 2, 2, 2, 1, 2, 4, 0, 0, 4, 1, 1, 0, 3, 4, 3, 0, 0, 1, 2, 0, 2, 2, 2, 4, 4, 4, 2, 0, 2, 4, 1, 3, 3, 1, 2, 0, 2, 0, 3, 3, 2, 2, 2, 0, 2, 1, 2, 3, 2, 2, 1, 4, 3, 2, 0, 3, 1, 3, 1, 1, 1, 4, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 4, 3, 2, 4, 3, 4, 3, 1, 3, 1, 2, 1, 3, 0, 4, 3, 0, 1, 3]
pubkeycol340 = [4, 4, 1, 3, 0, 4, 0, 1, 2, 0, 1, 0, 3, 4, 1, 2, 0, 4, 4, 3, 3, 2, 4, 1, 1, 0, 3, 4, 0, 4, 1, 0, 3, 4, 1, 1, 3, 4, 0, 4, 2, 4, 1, 3, 3, 4, 0, 4, 0, 4, 2, 0, 3, 0, 4, 3, 2, 4, 1, 4, 0, 3, 1, 3, 2, 1, 3, 1, 2, 4, 3, 2, 2, 1, 4, 3, 4, 0, 3, 1, 3, 0, 3, 2, 3, 2, 4, 0, 0, 3, 3, 0, 2, 3, 0, 2, 3, 0, 2, 1, 1, 4, 1, 1, 4, 4, 4, 0, 0, 3, 2, 0, 4, 4, 4, 4, 0, 4, 2, 2, 0, 0, 2, 2, 4, 4, 0, 4, 2, 2, 4, 1, 2, 4, 2, 1, 1, 1, 2, 0, 3, 4, 4, 3, 1, 3, 3, 0, 3, 1, 4, 4, 2, 0, 1, 2, 4, 1, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 3, 0, 1, 3, 1, 2, 1, 4, 0, 0, 0, 3, 0, 1, 0, 1, 2, 1, 3, 2, 1, 4, 2, 2, 0, 0, 3, 0, 0, 0, 0, 2, 3, 0, 1, 1, 4, 2, 3, 0, 2, 2, 0, 2, 3, 1, 2, 3, 1, 4, 0, 1, 2, 1, 4, 4, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 3, 4, 3, 3, 0, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 3, 0, 3, 2, 1, 4, 2, 1, 1, 4, 2, 0, 0, 4, 2, 3, 3, 2, 3, 0, 2, 3, 2, 1, 4, 4, 4, 2, 1, 2, 0, 3, 1, 3, 0, 4, 4, 1, 4, 4, 3, 3, 3, 4, 2, 4, 3, 3, 0, 0, 2, 0, 0, 2, 1, 1, 0, 4, 1, 3]
pubkeycol341 = [2, 4, 4, 0, 1, 0, 0, 2, 1, 1, 1, 4, 2, 3, 0, 3, 3, 3, 0, 1, 1, 1, 0, 0, 4, 4, 1, 4, 3, 0, 2, 4, 3, 0, 2, 4, 1, 0, 1, 3, 3, 2, 1, 3, 4, 0, 0, 1, 1, 2, 2, 2, 2, 4, 3, 1, 3, 1, 0, 4, 4, 4, 1, 1, 4, 1, 1, 2, 1, 4, 1, 2, 0, 0, 4, 1, 2, 4, 4, 1, 2, 3, 3, 0, 2, 3, 2, 1, 0, 0, 3, 4, 1, 4, 0, 0, 4, 4, 3, 1, 2, 0, 0, 3, 3, 3, 3, 3, 2, 4, 4, 3, 2, 2, 4, 1, 3, 3, 0, 0, 2, 3, 4, 4, 3, 4, 1, 1, 4, 2, 1, 1, 1, 1, 2, 3, 1, 2, 4, 0, 2, 1, 2, 2, 4, 2, 0, 3, 0, 2, 0, 4, 0, 3, 3, 1, 2, 2, 4, 3, 2, 1, 2, 0, 0, 2, 2, 1, 3, 4, 3, 0, 4, 3, 0, 3, 0, 1, 2, 3, 2, 2, 3, 0, 1, 3, 0, 3, 0, 4, 2, 2, 2, 3, 2, 2, 2, 1, 4, 3, 1, 3, 1, 4, 4, 4, 4, 1, 2, 4, 4, 1, 2, 3, 2, 2, 4, 2, 4, 4, 0, 1, 4, 1, 2, 1, 4, 4, 4, 3, 2, 2, 3, 3, 1, 1, 1, 4, 4, 0, 3, 1, 1, 4, 3, 4, 1, 0, 3, 4, 3, 1, 2, 2, 0, 2, 1, 4, 1, 0, 0, 3, 4, 1, 1, 3, 2, 2, 0, 1, 0, 3, 3, 3, 4, 4, 0, 0, 3, 4, 2, 2, 1, 3, 2, 3, 2, 1, 0, 0, 0, 2, 3, 0, 1, 3, 2, 0, 0, 0, 4, 1, 1, 3, 2, 3, 4, 0, 1, 3, 0, 4, 1, 3, 1, 3, 3, 0, 1, 3]
pubkeycol342 = [2, 0, 1, 2, 2, 3, 3, 1, 1, 0, 1, 3, 2, 2, 0, 2, 3, 0, 2, 3, 3, 0, 4, 0, 1, 0, 0, 1, 4, 3, 2, 2, 2, 3, 4, 4, 4, 1, 3, 0, 0, 2, 1, 4, 0, 3, 0, 1, 1, 2, 1, 4, 1, 4, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 4, 3, 0, 2, 0, 0, 1, 4, 1, 4, 1, 3, 4, 2, 2, 4, 1, 4, 4, 0, 3, 0, 2, 2, 0, 0, 0, 3, 2, 0, 4, 3, 4, 2, 4, 1, 1, 3, 4, 2, 2, 1, 0, 4, 1, 3, 4, 0, 1, 2, 1, 1, 4, 3, 0, 2, 3, 4, 4, 3, 1, 3, 2, 0, 4, 3, 0, 2, 1, 1, 1, 4, 3, 2, 3, 3, 2, 1, 3, 0, 0, 0, 0, 3, 3, 1, 0, 3, 4, 0, 1, 4, 3, 0, 2, 4, 3, 3, 4, 3, 4, 0, 1, 1, 3, 4, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 3, 4, 2, 0, 2, 3, 2, 3, 0, 0, 2, 4, 3, 4, 0, 0, 0, 1, 1, 4, 2, 2, 2, 4, 3, 4, 2, 0, 4, 1, 0, 3, 0, 2, 4, 2, 1, 2, 4, 1, 3, 3, 1, 4, 2, 3, 3, 0, 3, 4, 4, 1, 1, 0, 3, 3, 4, 0, 1, 0, 4, 4, 4, 2, 4, 4, 0, 1, 1, 0, 4, 0, 2, 4, 3, 4, 0, 4, 2, 2, 3, 3, 3, 1, 0, 4, 3, 4, 1, 2, 0, 1, 0, 4, 3, 4, 4, 4, 1, 3, 4, 0, 4, 1, 2, 4, 2, 3, 2, 3, 1, 4, 2, 0, 4, 0, 0, 4, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 3, 1, 3, 3, 2, 3, 0, 3, 0, 0, 4]
pubkeycol343 = [4, 4, 4, 3, 2, 3, 2, 0, 4, 1, 4, 4, 0, 2, 4, 2, 0, 0, 3, 0, 3, 2, 3, 2, 1, 3, 4, 1, 2, 4, 3, 4, 2, 0, 1, 2, 4, 3, 0, 2, 3, 3, 1, 0, 1, 3, 1, 4, 4, 4, 0, 3, 2, 2, 4, 4, 3, 0, 3, 2, 1, 4, 1, 0, 1, 4, 3, 2, 4, 3, 0, 2, 3, 3, 2, 4, 3, 0, 3, 4, 2, 3, 2, 3, 3, 4, 3, 4, 2, 2, 4, 0, 1, 1, 3, 4, 0, 4, 1, 3, 4, 1, 1, 3, 4, 3, 1, 3, 3, 4, 3, 0, 2, 4, 1, 4, 3, 3, 4, 0, 3, 0, 2, 2, 3, 1, 3, 0, 1, 0, 3, 1, 3, 3, 3, 0, 0, 4, 1, 2, 2, 1, 2, 0, 3, 1, 3, 3, 0, 0, 2, 2, 4, 1, 2, 3, 1, 2, 0, 4, 4, 3, 2, 2, 2, 3, 2, 4, 2, 1, 4, 4, 4, 3, 0, 2, 2, 3, 2, 0, 3, 2, 3, 4, 3, 0, 3, 2, 3, 3, 1, 1, 1, 4, 0, 4, 4, 2, 0, 0, 3, 4, 1, 3, 2, 3, 2, 1, 4, 1, 2, 0, 3, 2, 0, 4, 2, 0, 1, 1, 4, 1, 4, 2, 3, 2, 4, 3, 1, 3, 2, 1, 4, 0, 3, 1, 3, 3, 0, 2, 1, 0, 0, 4, 2, 4, 1, 1, 3, 4, 1, 0, 0, 4, 4, 0, 4, 3, 3, 0, 4, 2, 0, 4, 0, 3, 4, 0, 0, 4, 4, 0, 0, 1, 4, 3, 1, 2, 4, 3, 3, 3, 1, 2, 3, 2, 1, 2, 4, 0, 2, 2, 0, 4, 4, 4, 1, 1, 4, 3, 3, 0, 2, 0, 0, 3, 4, 1, 3, 1, 0, 3, 4, 3, 3, 1, 0, 2, 2, 3]
pubkeycol344 = [0, 2, 3, 3, 0, 1, 0, 3, 0, 1, 4, 2, 2, 2, 0, 4, 0, 1, 2, 4, 3, 2, 4, 4, 3, 2, 1, 2, 3, 1, 1, 1, 1, 4, 3, 2, 1, 0, 1, 0, 3, 1, 3, 0, 3, 0, 1, 1, 4, 4, 0, 2, 3, 3, 4, 3, 0, 2, 2, 4, 4, 4, 4, 2, 0, 4, 0, 2, 1, 0, 4, 3, 2, 0, 0, 2, 4, 3, 2, 4, 0, 2, 3, 3, 2, 0, 0, 3, 1, 0, 1, 3, 3, 4, 3, 2, 1, 1, 2, 3, 2, 1, 3, 3, 0, 0, 0, 4, 2, 0, 0, 1, 0, 0, 1, 2, 3, 1, 0, 3, 1, 4, 3, 0, 4, 1, 0, 4, 1, 0, 0, 4, 0, 0, 1, 1, 4, 2, 3, 4, 0, 0, 4, 4, 1, 4, 1, 3, 4, 4, 1, 2, 3, 1, 0, 3, 0, 4, 2, 3, 2, 1, 2, 1, 1, 3, 2, 3, 4, 1, 3, 1, 3, 1, 4, 0, 2, 1, 4, 3, 2, 2, 4, 3, 4, 0, 1, 4, 4, 0, 0, 1, 3, 3, 3, 2, 0, 4, 3, 4, 4, 1, 3, 2, 4, 0, 4, 2, 2, 1, 0, 1, 2, 0, 3, 0, 3, 2, 3, 0, 2, 2, 1, 2, 1, 0, 1, 0, 4, 4, 2, 0, 4, 1, 1, 3, 2, 2, 1, 0, 0, 1, 0, 3, 2, 1, 0, 1, 2, 4, 2, 4, 4, 4, 2, 0, 1, 2, 2, 3, 1, 4, 3, 4, 1, 3, 0, 0, 3, 2, 3, 4, 0, 4, 1, 0, 2, 0, 2, 3, 1, 3, 4, 1, 0, 2, 1, 4, 4, 2, 0, 0, 3, 0, 2, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 3, 4, 0, 3, 0, 4, 1, 3, 0, 3, 1, 0, 3, 2, 1]
pubkeycol345 = [3, 3, 2, 1, 0, 4, 1, 2, 1, 1, 0, 1, 0, 0, 1, 3, 3, 4, 1, 0, 2, 0, 4, 4, 3, 1, 4, 2, 4, 1, 0, 2, 2, 2, 3, 1, 2, 2, 1, 3, 1, 0, 2, 4, 4, 0, 2, 2, 4, 1, 4, 4, 3, 4, 3, 4, 2, 1, 4, 0, 2, 4, 2, 2, 0, 3, 1, 1, 3, 0, 0, 2, 1, 0, 1, 2, 1, 4, 0, 4, 4, 1, 0, 2, 3, 1, 4, 2, 1, 1, 4, 1, 4, 1, 4, 2, 0, 3, 2, 1, 1, 4, 4, 2, 1, 3, 2, 4, 4, 3, 4, 0, 1, 4, 2, 2, 1, 4, 0, 2, 1, 4, 2, 0, 1, 4, 1, 0, 2, 3, 4, 0, 4, 3, 1, 4, 1, 2, 1, 1, 1, 0, 3, 2, 3, 2, 0, 1, 0, 0, 4, 2, 4, 1, 4, 0, 3, 0, 1, 2, 4, 4, 0, 2, 4, 1, 0, 1, 1, 2, 3, 1, 2, 4, 3, 4, 0, 3, 4, 2, 3, 4, 3, 4, 1, 3, 3, 1, 1, 3, 2, 0, 4, 3, 0, 1, 4, 1, 4, 4, 4, 1, 2, 2, 3, 1, 4, 0, 2, 0, 1, 2, 3, 2, 3, 1, 0, 4, 4, 2, 0, 1, 0, 0, 2, 2, 4, 0, 4, 2, 4, 1, 4, 2, 3, 2, 0, 0, 4, 4, 3, 1, 3, 3, 4, 1, 1, 2, 1, 4, 4, 3, 0, 0, 4, 4, 4, 4, 2, 2, 0, 1, 4, 1, 0, 4, 1, 1, 4, 2, 0, 4, 0, 3, 3, 0, 4, 3, 0, 3, 4, 1, 2, 1, 0, 3, 1, 1, 3, 1, 1, 2, 1, 0, 2, 3, 2, 3, 1, 0, 1, 2, 4, 1, 3, 4, 2, 2, 3, 2, 2, 2, 4, 0, 4, 3, 0, 4, 1, 3]
pubkeycol346 = [3, 0, 1, 2, 0, 0, 2, 3, 1, 4, 2, 3, 4, 3, 3, 4, 0, 2, 3, 1, 3, 2, 0, 2, 3, 3, 2, 4, 2, 0, 1, 0, 3, 4, 4, 1, 3, 2, 0, 0, 2, 4, 2, 3, 2, 1, 4, 3, 0, 2, 3, 1, 2, 4, 4, 2, 0, 4, 2, 3, 4, 1, 1, 4, 3, 1, 0, 4, 4, 0, 2, 1, 1, 0, 2, 3, 0, 1, 2, 0, 2, 0, 1, 2, 3, 3, 1, 2, 1, 2, 3, 4, 4, 0, 2, 0, 4, 0, 4, 2, 1, 3, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 3, 0, 1, 4, 2, 2, 3, 1, 4, 3, 2, 2, 1, 0, 1, 1, 4, 3, 1, 0, 3, 4, 2, 2, 0, 4, 4, 3, 0, 4, 0, 1, 0, 3, 2, 0, 4, 4, 1, 2, 3, 3, 0, 2, 3, 2, 2, 3, 1, 2, 2, 0, 2, 3, 2, 4, 4, 4, 4, 2, 3, 3, 3, 2, 3, 1, 1, 4, 0, 4, 4, 0, 2, 0, 0, 2, 0, 1, 4, 0, 2, 2, 2, 3, 4, 3, 3, 2, 1, 0, 0, 3, 1, 2, 4, 3, 2, 1, 0, 4, 2, 3, 1, 2, 2, 1, 4, 1, 4, 2, 2, 0, 4, 3, 2, 4, 4, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 4, 4, 4, 2, 2, 2, 3, 0, 0, 1, 4, 1, 0, 1, 0, 3, 4, 3, 0, 4, 2, 4, 3, 2, 3, 0, 0, 1, 4, 0, 2, 4, 1, 0, 0, 2, 4, 4, 1, 2, 2, 3, 3, 2, 2, 4, 0, 3, 1, 2, 1, 0, 3, 4, 0, 1, 2, 2, 3, 0, 1, 3, 0, 2, 1, 0, 4, 0, 1, 1, 0, 2, 3, 4, 1, 4, 3, 4, 4, 2, 3]
pubkeycol347 = [2, 2, 4, 4, 2, 1, 1, 4, 3, 1, 0, 4, 3, 3, 1, 1, 2, 0, 0, 0, 1, 2, 2, 4, 0, 3, 4, 1, 1, 3, 0, 0, 4, 0, 0, 2, 4, 2, 3, 4, 4, 0, 2, 2, 3, 4, 0, 3, 4, 1, 1, 4, 3, 1, 3, 3, 1, 2, 2, 2, 0, 1, 4, 0, 0, 0, 0, 4, 1, 1, 3, 1, 3, 0, 4, 2, 3, 3, 3, 3, 2, 4, 2, 1, 3, 1, 2, 0, 2, 2, 1, 0, 4, 2, 3, 1, 4, 4, 3, 0, 4, 3, 4, 2, 0, 4, 1, 4, 1, 1, 3, 3, 2, 3, 1, 2, 3, 4, 1, 3, 4, 1, 4, 1, 3, 1, 1, 4, 4, 1, 0, 2, 4, 4, 3, 0, 1, 3, 4, 0, 0, 4, 2, 2, 2, 4, 3, 0, 2, 1, 4, 0, 0, 1, 3, 1, 3, 1, 3, 1, 4, 3, 4, 4, 0, 0, 2, 0, 1, 4, 0, 0, 3, 2, 2, 4, 3, 0, 1, 1, 3, 3, 3, 4, 4, 2, 4, 4, 2, 3, 2, 1, 3, 3, 0, 1, 0, 0, 3, 1, 0, 0, 4, 3, 1, 1, 3, 3, 3, 3, 1, 4, 0, 3, 2, 0, 4, 1, 3, 3, 2, 0, 4, 4, 3, 4, 4, 2, 0, 4, 4, 0, 4, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 3, 4, 1, 1, 1, 0, 1, 3, 4, 1, 0, 1, 0, 4, 2, 3, 3, 1, 1, 4, 3, 3, 0, 4, 2, 0, 0, 2, 2, 3, 4, 2, 1, 1, 2, 4, 2, 1, 4, 2, 4, 4, 0, 0, 4, 3, 4, 4, 2, 1, 3, 2, 1, 0, 0, 1, 4, 2, 1, 2, 4, 0, 3, 3, 0, 1, 3, 1, 0, 4, 2, 1, 1, 1, 3, 0, 3]
pubkeycol348 = [0, 1, 4, 3, 1, 2, 4, 2, 4, 0, 1, 3, 4, 2, 1, 4, 3, 0, 1, 2, 1, 0, 0, 4, 0, 2, 2, 3, 1, 4, 3, 1, 4, 1, 3, 2, 4, 4, 2, 0, 2, 1, 2, 4, 0, 1, 3, 4, 4, 4, 4, 4, 4, 0, 0, 0, 3, 3, 1, 1, 4, 2, 4, 1, 0, 0, 4, 1, 4, 0, 0, 0, 4, 4, 1, 1, 3, 2, 2, 3, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 4, 2, 1, 2, 4, 2, 4, 4, 2, 1, 3, 3, 0, 2, 2, 1, 3, 3, 0, 0, 3, 0, 4, 0, 4, 4, 4, 4, 4, 1, 1, 1, 4, 2, 2, 1, 2, 1, 3, 2, 1, 2, 2, 3, 3, 4, 2, 0, 3, 0, 4, 4, 0, 1, 1, 1, 1, 0, 4, 3, 3, 4, 1, 1, 3, 1, 1, 1, 0, 1, 2, 3, 0, 4, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 3, 2, 1, 0, 0, 3, 2, 0, 1, 4, 1, 1, 0, 3, 0, 3, 2, 4, 1, 1, 1, 4, 4, 2, 1, 3, 4, 1, 4, 3, 4, 4, 0, 4, 2, 0, 0, 2, 2, 1, 3, 0, 1, 2, 1, 1, 2, 2, 3, 1, 3, 0, 1, 4, 1, 2, 1, 2, 4, 4, 4, 0, 3, 0, 2, 4, 2, 2, 0, 3, 2, 4, 4, 0, 0, 1, 1, 0, 0, 3, 1, 2, 3, 3, 4, 4, 4, 1, 0, 0, 2, 4, 0, 3, 4, 3, 3, 1, 3, 3, 1, 0, 0, 4, 4, 3, 1, 4, 3, 3, 1, 1, 0, 3, 0, 3, 2, 0, 2, 0, 0, 1, 2, 4, 3, 4, 3, 2, 3, 0, 0, 1, 0, 3, 3, 0, 4, 1, 0, 3, 1, 4, 1, 3, 1]
pubkeycol349 = [1, 0, 1, 0, 1, 3, 0, 2, 4, 3, 1, 0, 1, 0, 4, 3, 4, 2, 1, 2, 4, 4, 3, 3, 1, 2, 1, 2, 4, 4, 2, 4, 3, 4, 2, 3, 0, 4, 1, 0, 0, 2, 2, 4, 1, 3, 3, 0, 3, 2, 3, 3, 2, 1, 2, 1, 0, 4, 2, 2, 0, 2, 1, 2, 1, 2, 2, 4, 1, 4, 2, 1, 0, 4, 1, 4, 2, 3, 1, 1, 4, 4, 3, 1, 1, 3, 3, 0, 0, 2, 3, 0, 1, 0, 4, 2, 3, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 1, 0, 4, 4, 0, 3, 3, 1, 4, 4, 3, 0, 3, 3, 2, 4, 0, 1, 2, 4, 2, 4, 3, 2, 4, 2, 1, 4, 3, 4, 0, 2, 3, 4, 2, 3, 3, 3, 2, 2, 2, 2, 1, 0, 3, 3, 1, 4, 0, 4, 3, 2, 3, 1, 4, 2, 1, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 4, 4, 1, 3, 3, 0, 3, 2, 1, 4, 3, 3, 4, 1, 4, 1, 4, 3, 0, 3, 1, 4, 1, 4, 1, 4, 0, 2, 3, 2, 0, 3, 3, 2, 0, 1, 2, 4, 1, 0, 0, 3, 2, 2, 2, 4, 0, 3, 1, 4, 0, 0, 0, 2, 4, 3, 0, 1, 4, 3, 3, 2, 4, 3, 1, 4, 1, 2, 1, 2, 3, 4, 3, 1, 0, 1, 1, 3, 3, 2, 3, 4, 0, 0, 3, 1, 3, 4, 4, 1, 2, 1, 0, 3, 2, 3, 4, 1, 3, 4, 2, 1, 3, 3, 0, 4, 1, 1, 3, 2, 3, 4, 2, 4, 4, 2, 2, 0, 2, 3, 4, 4, 4, 2, 0, 1, 2, 3, 0, 0, 2, 2, 4, 2, 0, 4, 4, 1, 4, 3, 1, 4, 3, 0, 1, 1]
pubkeycol350 = [1, 2, 2, 3, 2, 3, 4, 4, 4, 3, 0, 0, 1, 1, 4, 1, 0, 1, 3, 2, 0, 4, 4, 1, 0, 4, 0, 3, 0, 4, 0, 2, 0, 0, 0, 2, 4, 4, 1, 0, 2, 4, 2, 2, 2, 0, 1, 3, 0, 1, 4, 1, 2, 3, 4, 1, 3, 4, 0, 3, 2, 3, 1, 4, 1, 3, 4, 1, 1, 1, 4, 0, 2, 4, 1, 1, 1, 2, 1, 3, 1, 2, 3, 4, 2, 3, 2, 3, 1, 2, 3, 0, 0, 0, 0, 2, 1, 3, 2, 3, 1, 4, 2, 0, 1, 2, 4, 2, 4, 0, 3, 2, 1, 4, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 1, 0, 2, 2, 4, 0, 0, 0, 1, 0, 3, 4, 3, 1, 4, 4, 0, 3, 4, 0, 1, 3, 0, 3, 0, 3, 0, 0, 1, 1, 0, 0, 0, 3, 4, 4, 4, 1, 0, 1, 4, 0, 3, 1, 3, 1, 0, 2, 3, 1, 4, 1, 4, 0, 2, 4, 2, 2, 0, 1, 2, 0, 4, 4, 0, 4, 3, 0, 4, 2, 3, 3, 4, 4, 3, 2, 0, 4, 1, 0, 0, 4, 0, 0, 4, 2, 0, 4, 0, 2, 4, 1, 2, 4, 0, 4, 3, 0, 1, 1, 1, 1, 4, 1, 1, 0, 3, 1, 2, 4, 3, 3, 3, 3, 3, 0, 3, 4, 0, 1, 1, 4, 2, 2, 0, 4, 4, 3, 0, 3, 1, 0, 3, 2, 3, 2, 0, 3, 4, 3, 0, 2, 1, 3, 4, 1, 4, 3, 0, 0, 0, 1, 4, 4, 1, 4, 3, 2, 1, 2, 3, 4, 3, 4, 1, 1, 3, 2, 0, 2, 2, 2, 4, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 1, 4, 0, 1, 1, 3, 0, 1, 0, 2, 2, 0, 0]
pubkeycol351 = [4, 1, 0, 2, 2, 1, 4, 2, 4, 0, 4, 4, 4, 2, 3, 0, 3, 1, 2, 3, 1, 3, 0, 0, 1, 4, 2, 2, 2, 3, 3, 2, 0, 0, 4, 3, 0, 0, 0, 2, 0, 2, 4, 3, 1, 2, 2, 3, 4, 1, 0, 2, 1, 0, 1, 0, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 0, 4, 0, 3, 0, 4, 2, 0, 2, 2, 4, 0, 0, 1, 2, 4, 4, 4, 0, 3, 2, 3, 4, 4, 3, 2, 2, 0, 1, 1, 2, 1, 2, 3, 2, 4, 0, 4, 2, 0, 0, 0, 0, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 1, 1, 2, 3, 1, 4, 4, 0, 3, 3, 0, 0, 3, 1, 0, 4, 2, 2, 0, 2, 2, 2, 4, 1, 0, 3, 4, 1, 2, 3, 2, 0, 3, 0, 2, 2, 1, 0, 0, 0, 4, 3, 2, 4, 3, 3, 1, 1, 1, 4, 1, 2, 0, 4, 1, 1, 3, 1, 2, 4, 1, 2, 0, 1, 3, 1, 2, 0, 1, 3, 0, 4, 0, 3, 2, 2, 3, 0, 1, 3, 0, 2, 4, 1, 0, 0, 1, 1, 3, 1, 0, 1, 2, 2, 2, 1, 3, 0, 0, 2, 0, 1, 0, 3, 4, 1, 0, 3, 3, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 4, 3, 2, 3, 1, 1, 4, 3, 1, 1, 0, 2, 1, 3, 2, 3, 2, 0, 2, 3, 0, 3, 1, 4, 1, 2, 2, 2, 4, 3, 3, 0, 0, 2, 4, 3, 0, 1, 1, 3, 3, 1, 2, 0, 0, 0, 1, 3, 1, 2, 1, 0, 2, 1, 0, 3, 3, 3, 1, 4, 3, 2, 2, 4, 0, 3, 0, 3, 1, 0, 0, 4, 3, 4, 0, 1, 4, 0, 4, 0, 3]
pubkeycol352 = [1, 2, 4, 4, 0, 4, 3, 4, 1, 0, 1, 0, 3, 3, 3, 1, 1, 1, 1, 4, 3, 2, 1, 0, 1, 1, 4, 3, 1, 3, 0, 4, 3, 1, 0, 1, 0, 1, 1, 0, 2, 0, 3, 0, 1, 1, 0, 0, 4, 1, 4, 4, 2, 1, 2, 3, 4, 3, 2, 4, 1, 3, 3, 1, 4, 4, 0, 3, 1, 1, 1, 1, 0, 4, 4, 3, 1, 1, 4, 1, 4, 4, 3, 0, 0, 3, 2, 1, 1, 1, 1, 4, 1, 1, 0, 3, 2, 4, 4, 3, 3, 3, 1, 3, 2, 2, 0, 4, 2, 4, 0, 3, 1, 2, 0, 1, 2, 1, 1, 4, 4, 1, 1, 2, 0, 0, 4, 3, 4, 1, 1, 1, 1, 1, 0, 0, 0, 1, 3, 4, 4, 3, 3, 1, 3, 2, 2, 3, 4, 2, 4, 2, 4, 3, 0, 4, 3, 3, 3, 1, 2, 1, 3, 2, 0, 4, 4, 3, 2, 2, 3, 4, 2, 2, 0, 4, 4, 0, 3, 2, 4, 0, 4, 4, 2, 3, 0, 4, 0, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 0, 3, 2, 2, 4, 4, 1, 1, 4, 3, 0, 2, 3, 1, 2, 3, 4, 1, 0, 4, 4, 0, 4, 1, 0, 1, 1, 4, 0, 4, 3, 4, 1, 1, 4, 3, 0, 2, 0, 0, 2, 2, 4, 2, 1, 0, 3, 4, 4, 3, 2, 1, 2, 0, 4, 1, 0, 0, 1, 3, 0, 2, 4, 3, 2, 3, 4, 3, 4, 3, 3, 2, 0, 0, 2, 4, 1, 3, 3, 2, 4, 2, 0, 2, 0, 0, 4, 0, 3, 4, 3, 3, 1, 3, 4, 1, 2, 1, 3, 0, 1, 1, 0, 1, 2, 3, 0, 2, 4, 3, 4, 2, 3, 2, 0, 3, 2, 4, 4, 1]
pubkeycol353 = [3, 1, 4, 1, 2, 4, 0, 2, 0, 0, 1, 1, 4, 4, 0, 4, 4, 4, 4, 2, 4, 3, 3, 2, 3, 2, 1, 4, 0, 2, 1, 3, 0, 3, 0, 3, 1, 0, 3, 0, 4, 0, 1, 1, 1, 4, 4, 3, 4, 2, 0, 4, 0, 4, 2, 1, 3, 2, 3, 4, 3, 1, 1, 1, 0, 4, 0, 0, 1, 3, 1, 1, 0, 1, 0, 2, 2, 4, 0, 1, 3, 1, 3, 4, 4, 3, 0, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 4, 2, 1, 0, 3, 1, 1, 4, 1, 0, 1, 3, 3, 3, 3, 4, 1, 4, 3, 4, 3, 4, 1, 4, 3, 0, 4, 4, 2, 4, 1, 1, 2, 1, 3, 2, 0, 0, 4, 2, 3, 2, 4, 3, 0, 1, 4, 2, 0, 3, 3, 1, 0, 3, 4, 2, 4, 2, 0, 4, 1, 3, 4, 4, 4, 3, 1, 0, 0, 1, 2, 3, 2, 1, 0, 3, 4, 0, 0, 4, 3, 0, 4, 4, 2, 4, 2, 4, 3, 3, 1, 4, 4, 2, 3, 1, 1, 2, 1, 0, 1, 4, 2, 2, 1, 1, 0, 3, 0, 0, 3, 0, 1, 3, 2, 0, 1, 3, 3, 1, 1, 0, 3, 0, 3, 2, 2, 4, 1, 0, 0, 2, 4, 2, 3, 0, 1, 1, 0, 0, 3, 2, 3, 2, 0, 1, 3, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 0, 0, 2, 2, 4, 3, 0, 0, 4, 4, 3, 2, 3, 4, 3, 2, 1, 0, 4, 2, 0, 4, 1, 2, 3, 2, 3, 4, 4, 1, 4, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 4, 2, 2, 4, 4, 4, 1, 0, 2, 3, 1, 0, 4, 3, 2, 3, 0, 4, 0, 0]
pubkeycol354 = [3, 2, 1, 0, 4, 3, 0, 3, 0, 4, 1, 0, 2, 0, 2, 3, 3, 2, 0, 3, 3, 1, 3, 3, 3, 4, 3, 2, 1, 0, 1, 0, 4, 3, 4, 2, 3, 3, 1, 2, 1, 3, 0, 2, 3, 0, 0, 2, 3, 2, 1, 4, 3, 1, 1, 4, 1, 0, 4, 0, 1, 0, 4, 0, 3, 4, 2, 1, 0, 4, 0, 2, 0, 4, 0, 2, 2, 0, 3, 4, 2, 3, 1, 3, 1, 0, 2, 3, 3, 0, 0, 0, 0, 2, 3, 0, 2, 3, 4, 2, 4, 0, 2, 2, 1, 4, 4, 0, 2, 4, 1, 0, 2, 0, 4, 4, 1, 1, 0, 3, 3, 4, 2, 1, 2, 0, 1, 2, 1, 1, 2, 3, 0, 3, 0, 2, 4, 2, 0, 2, 1, 3, 3, 4, 4, 0, 1, 0, 0, 2, 2, 0, 1, 1, 3, 4, 3, 1, 4, 3, 2, 0, 2, 3, 1, 4, 3, 1, 2, 1, 3, 2, 4, 1, 1, 0, 2, 2, 1, 4, 1, 3, 1, 2, 3, 4, 2, 1, 0, 1, 0, 4, 2, 2, 1, 0, 1, 0, 0, 4, 0, 2, 0, 4, 0, 3, 4, 3, 3, 4, 3, 4, 2, 3, 0, 3, 2, 3, 4, 4, 2, 1, 2, 3, 2, 2, 3, 0, 0, 2, 0, 3, 2, 4, 4, 3, 3, 1, 0, 1, 3, 2, 0, 4, 3, 2, 1, 2, 0, 0, 0, 0, 0, 2, 4, 3, 1, 3, 4, 2, 2, 1, 1, 2, 3, 4, 0, 1, 2, 0, 3, 3, 3, 2, 2, 3, 0, 4, 2, 4, 3, 4, 1, 4, 2, 2, 0, 0, 2, 2, 3, 4, 3, 3, 1, 0, 2, 0, 2, 1, 3, 3, 1, 0, 0, 3, 3, 3, 0, 3, 4, 3, 3, 1, 0, 0, 0, 0, 0, 2]
pubkeycol355 = [3, 4, 4, 1, 4, 3, 0, 0, 3, 0, 4, 4, 2, 0, 2, 4, 4, 1, 3, 0, 2, 1, 2, 2, 0, 2, 4, 0, 3, 3, 1, 3, 0, 4, 4, 3, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 0, 4, 4, 4, 4, 2, 2, 3, 1, 4, 2, 3, 2, 0, 4, 1, 4, 0, 4, 2, 3, 4, 4, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 3, 0, 4, 0, 1, 4, 2, 1, 1, 3, 2, 1, 3, 3, 1, 4, 0, 2, 2, 4, 3, 0, 3, 4, 3, 3, 4, 4, 1, 2, 1, 2, 3, 3, 0, 4, 1, 4, 0, 1, 4, 0, 1, 3, 0, 1, 2, 3, 1, 4, 1, 1, 1, 4, 3, 3, 1, 1, 1, 4, 0, 0, 1, 3, 0, 1, 4, 4, 2, 2, 4, 0, 0, 3, 1, 1, 2, 3, 2, 1, 0, 1, 0, 2, 2, 2, 1, 3, 4, 2, 2, 2, 1, 4, 1, 2, 0, 0, 0, 3, 1, 0, 3, 0, 0, 4, 2, 4, 4, 0, 0, 0, 1, 3, 2, 0, 4, 4, 0, 2, 1, 3, 0, 0, 2, 3, 4, 2, 1, 0, 4, 3, 0, 4, 3, 3, 2, 0, 1, 4, 2, 4, 3, 2, 4, 0, 1, 4, 2, 1, 4, 0, 1, 0, 3, 1, 0, 3, 1, 1, 3, 3, 4, 2, 3, 3, 1, 4, 1, 1, 0, 1, 4, 4, 2, 3, 2, 1, 1, 0, 4, 4, 0, 0, 3, 3, 2, 3, 3, 4, 1, 0, 0, 2, 2, 0, 3, 4, 3, 0, 1, 2, 2, 4, 4, 0, 2, 2, 2, 4, 0, 3, 4, 2, 4, 2, 0, 1, 0, 1, 2, 0, 3, 4, 0, 0, 0, 0, 4, 3, 1, 4, 4, 2, 0, 2, 1, 3, 0]
pubkeycol356 = [1, 4, 4, 0, 1, 4, 2, 3, 0, 3, 2, 1, 2, 1, 4, 3, 0, 4, 4, 2, 2, 3, 3, 3, 2, 0, 2, 1, 2, 3, 4, 1, 1, 2, 0, 2, 4, 1, 1, 0, 1, 4, 4, 4, 0, 4, 3, 2, 1, 2, 4, 1, 4, 0, 3, 1, 2, 3, 2, 4, 0, 3, 2, 3, 3, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 4, 0, 3, 0, 3, 4, 3, 0, 0, 2, 4, 2, 3, 3, 2, 3, 4, 3, 3, 2, 0, 0, 1, 1, 1, 3, 4, 1, 4, 4, 3, 2, 3, 2, 2, 4, 0, 1, 0, 2, 2, 1, 3, 0, 4, 3, 0, 4, 4, 0, 3, 3, 2, 4, 0, 3, 1, 0, 0, 2, 4, 3, 2, 3, 2, 4, 3, 2, 0, 3, 1, 2, 3, 1, 2, 2, 2, 2, 1, 0, 4, 1, 1, 2, 3, 2, 1, 1, 0, 4, 4, 4, 3, 1, 0, 1, 4, 2, 4, 3, 4, 1, 1, 1, 3, 2, 1, 4, 0, 0, 1, 2, 1, 4, 1, 3, 1, 3, 3, 1, 1, 4, 0, 0, 4, 2, 3, 0, 1, 4, 0, 2, 1, 3, 0, 2, 0, 4, 2, 4, 3, 2, 3, 4, 1, 4, 1, 0, 3, 3, 1, 2, 2, 2, 0, 0, 3, 2, 0, 3, 4, 0, 0, 4, 4, 0, 3, 1, 1, 4, 1, 2, 3, 0, 0, 4, 0, 2, 4, 2, 3, 4, 3, 2, 4, 2, 0, 4, 0, 1, 1, 4, 2, 4, 3, 4, 2, 4, 1, 1, 2, 4, 4, 1, 1, 3, 2, 4, 0, 2, 4, 4, 3, 0, 0, 0, 0, 2, 3, 2, 3, 3, 4, 1, 0, 0, 1, 1, 3, 3, 0, 4, 0, 4, 3, 0, 3, 0, 1, 4, 0, 1, 4, 0, 2]
pubkeycol357 = [4, 0, 3, 4, 3, 2, 4, 4, 3, 2, 1, 2, 3, 2, 4, 0, 3, 3, 4, 4, 2, 4, 2, 3, 4, 3, 0, 1, 1, 3, 4, 1, 4, 0, 4, 3, 4, 2, 3, 3, 2, 1, 1, 4, 2, 4, 2, 3, 1, 2, 1, 4, 0, 0, 1, 4, 0, 1, 3, 4, 2, 2, 2, 2, 2, 3, 3, 4, 2, 3, 0, 1, 1, 0, 3, 0, 3, 2, 2, 3, 0, 4, 4, 3, 4, 0, 3, 4, 3, 4, 0, 2, 1, 1, 1, 2, 4, 2, 3, 0, 4, 2, 4, 2, 0, 0, 4, 2, 3, 4, 4, 3, 0, 2, 3, 0, 1, 0, 1, 1, 2, 3, 0, 3, 1, 1, 1, 4, 1, 2, 2, 2, 1, 0, 0, 0, 2, 4, 2, 4, 4, 0, 4, 1, 2, 1, 4, 1, 4, 1, 0, 1, 3, 3, 4, 2, 1, 3, 4, 1, 2, 2, 1, 1, 4, 1, 2, 3, 2, 2, 2, 4, 0, 4, 3, 2, 2, 4, 4, 1, 0, 1, 4, 1, 1, 1, 4, 2, 0, 2, 4, 2, 3, 1, 0, 1, 2, 1, 4, 4, 4, 2, 3, 2, 1, 1, 1, 2, 4, 3, 4, 0, 0, 4, 4, 1, 1, 1, 2, 3, 3, 4, 2, 4, 4, 1, 2, 4, 4, 0, 1, 4, 3, 1, 4, 1, 1, 3, 3, 2, 0, 0, 3, 0, 2, 0, 3, 3, 4, 1, 2, 2, 2, 3, 2, 4, 3, 2, 2, 3, 3, 3, 4, 0, 2, 3, 1, 2, 4, 0, 2, 4, 3, 4, 1, 0, 2, 1, 3, 2, 2, 1, 0, 1, 0, 1, 3, 3, 3, 2, 4, 2, 2, 3, 3, 1, 4, 1, 4, 2, 1, 4, 0, 1, 3, 2, 2, 1, 4, 1, 2, 0, 0, 1, 1, 4, 1, 1, 4, 0]
pubkeycol358 = [4, 1, 2, 3, 3, 1, 4, 4, 4, 3, 4, 0, 4, 1, 2, 1, 4, 1, 4, 4, 0, 4, 1, 2, 3, 4, 3, 0, 1, 2, 2, 1, 0, 4, 2, 0, 1, 3, 4, 2, 1, 1, 0, 3, 0, 1, 2, 0, 2, 4, 4, 2, 1, 4, 4, 4, 0, 4, 2, 2, 2, 4, 3, 4, 4, 3, 1, 3, 0, 2, 1, 0, 2, 4, 1, 0, 3, 4, 2, 0, 3, 2, 1, 4, 0, 3, 1, 3, 4, 4, 2, 1, 2, 1, 0, 1, 0, 4, 3, 1, 2, 0, 2, 0, 2, 0, 0, 2, 3, 4, 0, 3, 2, 2, 2, 3, 0, 1, 4, 0, 3, 0, 3, 1, 3, 0, 1, 0, 0, 0, 1, 1, 3, 2, 0, 3, 3, 2, 3, 2, 1, 0, 2, 3, 4, 3, 3, 0, 2, 2, 3, 0, 2, 1, 1, 1, 3, 1, 0, 0, 1, 4, 0, 0, 4, 3, 1, 1, 0, 4, 3, 1, 3, 1, 0, 4, 3, 2, 4, 4, 4, 1, 4, 4, 3, 1, 0, 3, 1, 1, 3, 3, 3, 3, 2, 4, 2, 2, 3, 0, 2, 3, 4, 4, 4, 0, 4, 0, 0, 3, 3, 1, 3, 4, 0, 3, 3, 4, 3, 0, 1, 3, 0, 1, 3, 4, 3, 0, 1, 1, 2, 1, 3, 3, 1, 4, 0, 3, 2, 3, 3, 3, 0, 2, 2, 4, 2, 2, 0, 0, 3, 2, 4, 2, 1, 2, 1, 1, 0, 1, 1, 4, 2, 3, 0, 2, 3, 3, 3, 4, 2, 1, 0, 2, 3, 3, 4, 0, 1, 2, 1, 4, 3, 3, 1, 0, 2, 3, 0, 1, 1, 0, 0, 2, 3, 3, 4, 0, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 2, 1, 3, 2, 0, 3, 1, 4, 0, 0, 2, 2]
pubkeycol359 = [1, 1, 4, 2, 4, 3, 1, 3, 2, 4, 4, 1, 0, 4, 0, 1, 1, 3, 1, 4, 0, 2, 0, 3, 0, 1, 2, 4, 3, 3, 2, 2, 1, 2, 3, 2, 4, 3, 1, 1, 0, 2, 2, 0, 1, 2, 3, 4, 3, 4, 4, 1, 3, 2, 4, 1, 4, 4, 4, 0, 0, 1, 1, 4, 1, 2, 3, 2, 3, 2, 1, 4, 4, 1, 4, 2, 3, 1, 4, 2, 4, 3, 4, 1, 2, 3, 4, 3, 2, 2, 0, 1, 1, 3, 4, 1, 1, 4, 0, 2, 0, 2, 4, 3, 0, 0, 3, 4, 4, 0, 3, 2, 2, 1, 0, 2, 3, 1, 3, 2, 4, 3, 3, 0, 2, 2, 1, 2, 3, 4, 0, 2, 1, 0, 4, 0, 4, 2, 2, 4, 0, 1, 4, 2, 4, 3, 2, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 2, 4, 0, 2, 0, 4, 2, 1, 4, 2, 0, 4, 4, 4, 2, 0, 4, 0, 4, 2, 4, 1, 3, 4, 1, 0, 4, 0, 0, 1, 3, 3, 0, 1, 1, 4, 4, 0, 4, 0, 2, 3, 2, 3, 3, 0, 0, 1, 0, 2, 2, 3, 1, 4, 2, 1, 4, 0, 3, 3, 3, 0, 2, 4, 2, 4, 3, 1, 4, 3, 1, 0, 2, 4, 4, 0, 3, 0, 1, 2, 3, 1, 0, 3, 0, 2, 4, 0, 4, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 3, 3, 0, 0, 4, 4, 1, 1, 1, 3, 2, 2, 3, 4, 1, 4, 3, 2, 3, 1, 1, 1, 0, 4, 4, 1, 3, 2, 0, 0, 1, 2, 2, 0, 3, 0, 1, 1, 2, 1, 1, 1, 1, 4, 2, 0, 3, 1, 0, 0, 0, 1, 1, 1, 4, 3, 4, 3, 0, 1]
pubkeycol360 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 4, 0, 3, 4, 0, 3, 0, 0, 3, 2, 1, 0, 3, 4, 2, 3, 0, 0, 4, 4, 0, 3, 0, 0, 0, 4, 4, 1, 0, 1, 0, 3, 1, 1, 1, 2, 4, 3, 1, 0, 2, 0, 4, 0, 3, 3, 0, 1, 4, 1, 1, 2, 2, 0, 4, 0, 3, 1, 4, 1, 1, 2, 0, 3, 2, 0, 1, 2, 4, 1, 2, 0, 1, 2, 0, 1, 3, 3, 4, 3, 2, 2, 4, 0, 2, 1, 1, 0, 1, 0, 0, 4, 4, 0, 0, 2, 0, 3, 2, 0, 4, 2, 1, 3, 4, 2, 2, 3, 4, 2, 0, 2, 2, 1, 3, 0, 0, 0, 3, 4, 3, 4, 4, 0, 4, 0, 3, 0, 2, 0, 2, 0, 0, 1, 4, 4, 4, 0, 3, 1, 2, 1, 1, 2, 2, 1, 0, 3, 0, 2, 2, 0, 4, 3, 2, 4, 0, 0, 1, 2, 1, 3, 4, 3, 2, 1, 4, 2, 3, 3, 4, 1, 0, 0, 1, 0, 4, 0, 4, 2, 4, 4, 4, 1, 3, 0, 4, 4, 2, 1, 1, 4, 1, 0, 2, 2, 2, 3, 1, 3, 0, 0, 2, 2, 3, 3, 2, 4, 3, 2, 0, 4, 3, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 4, 0, 1, 1, 0, 4, 2, 2, 0, 2, 3, 3, 1, 4, 3, 3, 3, 3, 4, 2, 4, 3, 0, 4, 3, 0, 3, 4, 0, 2, 0, 0, 4, 0, 4, 0, 1, 0, 3, 2, 0, 0, 4, 3, 1, 0, 4, 2, 2, 3, 1, 3, 3, 4, 0, 0, 3, 2, 4, 3, 1, 3, 3, 2, 2, 2, 3, 4, 0, 4, 2, 0, 2, 4, 2, 1, 2, 0, 2, 4, 3, 4, 3, 3, 0]
pubkeycol361 = [3, 3, 1, 4, 4, 1, 1, 2, 1, 1, 4, 1, 3, 0, 3, 4, 3, 4, 1, 3, 2, 0, 0, 0, 1, 3, 3, 2, 4, 2, 4, 3, 3, 2, 3, 1, 0, 0, 4, 4, 2, 1, 0, 2, 3, 0, 3, 2, 4, 2, 0, 1, 3, 4, 3, 1, 1, 3, 0, 2, 0, 1, 3, 0, 4, 0, 2, 1, 2, 3, 2, 1, 1, 4, 1, 1, 3, 4, 0, 0, 4, 2, 1, 4, 3, 3, 2, 3, 2, 1, 3, 4, 1, 3, 4, 2, 4, 0, 0, 1, 3, 0, 3, 3, 0, 0, 2, 2, 4, 4, 4, 3, 0, 3, 3, 0, 2, 2, 3, 1, 2, 4, 0, 4, 1, 1, 1, 2, 3, 3, 4, 1, 3, 4, 1, 3, 0, 2, 4, 4, 3, 1, 2, 2, 3, 2, 1, 1, 4, 0, 1, 2, 2, 3, 4, 1, 0, 0, 4, 2, 4, 1, 4, 4, 1, 1, 3, 3, 3, 4, 2, 0, 3, 2, 0, 1, 1, 4, 2, 1, 0, 2, 1, 4, 2, 4, 0, 3, 3, 1, 2, 2, 4, 0, 1, 3, 0, 1, 4, 4, 2, 0, 3, 1, 4, 0, 1, 3, 3, 1, 4, 1, 3, 3, 3, 1, 0, 1, 0, 4, 4, 0, 4, 4, 0, 2, 0, 2, 0, 3, 0, 1, 2, 2, 0, 1, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 4, 1, 0, 0, 3, 1, 3, 1, 0, 1, 4, 2, 4, 2, 1, 2, 0, 4, 3, 3, 3, 0, 1, 4, 4, 2, 0, 4, 4, 1, 0, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 4, 3, 4, 3, 0, 2, 1, 3, 0, 0, 0, 3, 0, 1, 0, 1, 1, 1, 3, 4, 0, 0, 3, 1, 4, 4, 4, 2, 0, 4, 3, 3, 3]
pubkeycol362 = [0, 0, 1, 3, 4, 0, 2, 0, 3, 0, 0, 0, 4, 2, 0, 4, 4, 3, 4, 3, 1, 1, 4, 1, 1, 4, 4, 3, 0, 4, 3, 2, 1, 1, 3, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 2, 2, 2, 3, 0, 2, 2, 4, 1, 2, 2, 1, 1, 0, 1, 0, 4, 2, 4, 4, 1, 1, 0, 0, 4, 1, 4, 1, 2, 4, 2, 0, 3, 3, 2, 1, 4, 2, 2, 0, 4, 3, 3, 1, 0, 1, 2, 3, 1, 1, 4, 4, 0, 1, 4, 3, 2, 2, 0, 4, 2, 3, 1, 2, 3, 1, 1, 4, 3, 3, 2, 2, 1, 4, 4, 1, 1, 4, 1, 4, 0, 0, 3, 3, 2, 3, 0, 2, 1, 1, 1, 0, 2, 2, 4, 2, 1, 3, 1, 0, 4, 0, 1, 0, 3, 1, 4, 0, 4, 2, 2, 4, 4, 1, 2, 0, 4, 1, 3, 3, 2, 4, 0, 2, 2, 1, 4, 0, 2, 1, 0, 4, 0, 4, 2, 2, 1, 4, 4, 0, 3, 0, 1, 0, 2, 2, 1, 3, 2, 0, 3, 1, 2, 3, 2, 2, 4, 4, 1, 4, 3, 1, 4, 4, 2, 3, 1, 0, 4, 0, 4, 3, 4, 2, 2, 0, 3, 4, 3, 1, 1, 3, 0, 3, 3, 2, 2, 1, 2, 3, 3, 1, 1, 1, 3, 4, 4, 1, 0, 2, 2, 2, 2, 4, 4, 4, 3, 0, 2, 0, 0, 2, 3, 2, 2, 4, 0, 2, 1, 1, 1, 2, 2, 3, 1, 1, 0, 2, 2, 3, 1, 0, 3, 4, 1, 1, 1, 0, 3, 2, 4, 4, 4, 3, 1, 2, 2, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 2, 0, 4, 0, 3, 0, 2, 0, 1, 3, 4, 4, 2, 4, 0, 4, 2, 4]
pubkeycol363 = [1, 3, 3, 0, 2, 0, 0, 2, 0, 1, 4, 1, 4, 2, 1, 0, 4, 4, 3, 0, 2, 1, 2, 4, 3, 1, 2, 2, 3, 0, 2, 4, 2, 0, 2, 3, 1, 3, 4, 4, 2, 0, 4, 3, 3, 1, 0, 3, 4, 3, 4, 1, 0, 3, 2, 1, 0, 4, 2, 1, 3, 3, 0, 2, 3, 3, 0, 1, 0, 2, 2, 4, 4, 4, 4, 2, 3, 2, 2, 4, 0, 0, 2, 4, 3, 3, 4, 4, 2, 2, 3, 0, 4, 0, 4, 1, 4, 0, 4, 0, 3, 4, 0, 3, 0, 0, 0, 1, 2, 0, 3, 2, 0, 2, 0, 3, 4, 1, 3, 0, 3, 3, 3, 1, 0, 3, 0, 3, 4, 3, 3, 3, 1, 3, 4, 2, 4, 0, 2, 1, 1, 0, 3, 4, 2, 3, 1, 4, 4, 0, 3, 0, 3, 1, 0, 1, 1, 3, 1, 4, 3, 3, 3, 3, 0, 3, 2, 4, 2, 1, 4, 3, 0, 1, 1, 2, 4, 2, 4, 2, 1, 4, 3, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 3, 2, 4, 1, 1, 4, 1, 4, 4, 2, 4, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 4, 2, 3, 1, 0, 1, 1, 0, 3, 0, 2, 2, 0, 4, 1, 0, 2, 1, 3, 1, 4, 2, 0, 0, 4, 3, 1, 4, 4, 2, 1, 1, 2, 1, 0, 1, 4, 1, 1, 1, 3, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 2, 3, 4, 4, 0, 4, 1, 4, 2, 3, 3, 2, 4, 0, 4, 2, 2, 2, 2, 3, 1, 1, 0, 2, 4, 4, 2, 0, 0, 2, 0, 4, 3, 1, 4, 1, 1, 3, 1, 2, 0, 4, 4, 0, 3, 1, 4, 2, 1, 2, 2, 2, 4]
pubkeycol364 = [4, 3, 2, 4, 4, 0, 0, 0, 1, 3, 4, 4, 1, 4, 1, 2, 0, 2, 3, 0, 2, 4, 1, 2, 2, 1, 3, 2, 4, 1, 4, 3, 0, 2, 4, 4, 1, 3, 1, 2, 2, 3, 1, 4, 1, 1, 3, 0, 2, 2, 4, 0, 4, 0, 2, 4, 1, 4, 0, 1, 0, 4, 2, 2, 1, 4, 3, 0, 2, 1, 4, 0, 0, 0, 0, 1, 2, 0, 4, 2, 2, 1, 0, 3, 3, 1, 1, 3, 1, 2, 4, 1, 0, 4, 1, 2, 4, 1, 1, 0, 4, 4, 4, 4, 0, 3, 1, 1, 1, 2, 4, 3, 3, 4, 3, 2, 0, 3, 2, 1, 0, 4, 0, 4, 0, 3, 4, 3, 1, 3, 2, 1, 1, 1, 2, 1, 0, 1, 3, 2, 1, 4, 2, 1, 2, 3, 1, 4, 4, 1, 1, 1, 1, 4, 3, 4, 2, 2, 0, 4, 1, 2, 0, 2, 1, 2, 4, 0, 3, 1, 3, 0, 3, 3, 4, 2, 0, 1, 1, 4, 4, 3, 4, 2, 0, 4, 2, 1, 2, 1, 3, 4, 1, 4, 1, 2, 4, 4, 4, 3, 4, 0, 3, 2, 0, 4, 4, 1, 4, 1, 3, 2, 3, 2, 4, 3, 1, 2, 2, 1, 1, 3, 1, 4, 0, 4, 0, 4, 2, 4, 2, 2, 3, 1, 3, 3, 3, 0, 1, 2, 3, 0, 2, 1, 0, 2, 1, 1, 3, 4, 2, 3, 2, 0, 0, 3, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 3, 1, 0, 3, 3, 1, 2, 0, 0, 4, 2, 0, 3, 4, 3, 0, 1, 1, 0, 0, 0, 2, 4, 1, 2, 1, 1, 4, 3, 0, 4, 0, 3, 4, 2, 0, 3, 2, 3, 0, 0, 3, 4, 2, 0, 2, 2, 4, 3, 2, 2, 2, 0, 0]
pubkeycol365 = [1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 3, 2, 4, 0, 3, 2, 4, 2, 4, 1, 1, 3, 4, 4, 4, 2, 3, 4, 3, 3, 0, 4, 4, 4, 1, 2, 1, 3, 4, 3, 3, 4, 3, 4, 1, 4, 3, 2, 2, 1, 1, 1, 0, 1, 3, 2, 0, 1, 4, 1, 1, 3, 4, 0, 0, 4, 2, 1, 1, 3, 3, 3, 0, 0, 1, 1, 3, 2, 0, 3, 3, 1, 4, 3, 3, 1, 1, 3, 1, 0, 4, 1, 0, 0, 1, 0, 3, 2, 2, 0, 3, 1, 0, 0, 2, 1, 4, 4, 3, 4, 2, 2, 4, 2, 4, 0, 4, 4, 0, 2, 3, 3, 4, 2, 3, 3, 1, 3, 3, 2, 0, 2, 4, 3, 0, 0, 2, 1, 4, 2, 3, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 4, 4, 1, 3, 2, 3, 2, 2, 0, 2, 1, 3, 4, 3, 4, 2, 0, 4, 0, 3, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 4, 1, 1, 2, 3, 3, 1, 3, 4, 1, 0, 1, 1, 1, 1, 4, 0, 2, 2, 4, 1, 3, 4, 3, 4, 2, 3, 4, 4, 0, 4, 0, 3, 3, 4, 4, 0, 4, 3, 2, 1, 2, 3, 3, 2, 4, 1, 0, 3, 1, 0, 0, 4, 4, 3, 4, 4, 3, 3, 1, 0, 3, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 4, 3, 0, 1, 4, 1, 3, 2, 1, 4, 4, 1, 0, 4, 4, 0, 1, 3, 4, 0, 3, 2, 2, 0, 1, 1, 3, 0, 2, 1, 2, 0, 3, 3, 1, 0, 0, 1, 1, 1, 1, 3, 3, 3, 4, 3, 0, 2, 4, 1, 1, 2, 1, 3, 2, 4, 1, 1, 4, 3, 1, 1]
pubkeycol366 = [2, 2, 2, 1, 3, 2, 3, 4, 3, 3, 3, 0, 2, 3, 0, 0, 0, 0, 1, 2, 0, 0, 4, 1, 3, 3, 4, 2, 0, 2, 2, 3, 0, 1, 4, 0, 3, 2, 2, 4, 0, 3, 1, 0, 2, 3, 3, 1, 1, 1, 3, 2, 0, 4, 2, 1, 0, 2, 1, 3, 2, 2, 1, 4, 2, 3, 1, 3, 0, 0, 0, 1, 2, 3, 3, 3, 1, 4, 0, 0, 4, 1, 4, 1, 2, 3, 0, 0, 2, 4, 0, 0, 3, 3, 0, 3, 1, 2, 2, 3, 4, 1, 0, 0, 4, 2, 3, 0, 2, 3, 1, 0, 4, 4, 1, 0, 3, 2, 1, 3, 2, 0, 1, 4, 2, 0, 3, 3, 0, 1, 3, 0, 1, 2, 0, 2, 0, 3, 4, 1, 3, 4, 1, 1, 3, 3, 0, 4, 3, 3, 0, 0, 0, 0, 3, 0, 4, 2, 4, 2, 2, 2, 4, 0, 3, 2, 1, 2, 4, 3, 2, 4, 0, 4, 3, 4, 0, 2, 1, 4, 3, 4, 3, 3, 3, 0, 1, 2, 3, 3, 4, 0, 2, 3, 4, 0, 3, 2, 4, 1, 4, 1, 1, 2, 3, 4, 4, 4, 2, 1, 1, 2, 3, 1, 1, 0, 4, 2, 0, 0, 2, 1, 3, 3, 1, 2, 4, 2, 4, 0, 1, 2, 0, 1, 4, 3, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 3, 3, 1, 1, 0, 4, 4, 3, 4, 0, 1, 4, 1, 3, 2, 1, 1, 3, 1, 2, 4, 2, 2, 2, 4, 2, 2, 4, 3, 1, 0, 2, 3, 0, 3, 2, 0, 4, 2, 1, 0, 1, 4, 3, 2, 2, 4, 1, 1, 0, 4, 0, 4, 1, 2, 0, 0, 3, 0, 0, 3, 3, 3, 0, 2, 0, 1, 0, 0, 0, 4, 4, 3, 2]
pubkeycol367 = [2, 3, 3, 0, 2, 4, 0, 0, 3, 0, 4, 2, 2, 4, 0, 3, 4, 1, 1, 1, 0, 2, 2, 4, 3, 2, 4, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 4, 2, 4, 1, 1, 0, 0, 1, 1, 2, 1, 2, 3, 2, 2, 0, 2, 2, 1, 0, 0, 3, 4, 3, 2, 3, 0, 4, 4, 4, 3, 0, 3, 4, 4, 0, 4, 2, 3, 1, 1, 3, 2, 0, 2, 1, 4, 3, 1, 1, 1, 3, 4, 3, 0, 0, 4, 3, 1, 4, 4, 3, 1, 0, 2, 4, 3, 3, 0, 0, 1, 3, 0, 0, 4, 4, 1, 3, 0, 0, 1, 0, 3, 2, 4, 2, 0, 3, 0, 1, 0, 3, 2, 2, 3, 1, 0, 0, 1, 3, 2, 2, 4, 4, 4, 2, 2, 2, 3, 0, 4, 1, 0, 2, 3, 4, 1, 2, 4, 4, 0, 2, 2, 2, 0, 4, 2, 3, 4, 1, 0, 3, 0, 4, 0, 2, 1, 2, 4, 3, 4, 3, 1, 4, 1, 2, 4, 4, 3, 0, 3, 3, 3, 3, 1, 2, 2, 0, 0, 4, 3, 4, 4, 1, 2, 4, 2, 3, 1, 1, 1, 0, 1, 2, 4, 3, 0, 3, 3, 3, 1, 3, 3, 4, 2, 0, 0, 0, 2, 4, 4, 3, 2, 3, 4, 0, 1, 3, 2, 4, 0, 4, 2, 3, 0, 0, 3, 2, 2, 3, 4, 2, 1, 4, 4, 4, 4, 3, 0, 2, 3, 0, 1, 2, 1, 1, 3, 0, 2, 2, 4, 0, 2, 0, 3, 1, 2, 3, 1, 4, 2, 1, 2, 3, 1, 3, 1, 1, 1, 1, 3, 1, 0, 4, 1, 0, 2, 2, 0, 4, 0, 1, 2, 0, 0, 2, 2, 4, 0, 1, 2, 1, 2, 2, 0, 4]
pubkeycol368 = [1, 3, 4, 4, 4, 3, 0, 3, 3, 1, 2, 3, 4, 3, 3, 3, 2, 2, 0, 3, 3, 0, 4, 3, 2, 0, 2, 1, 2, 1, 1, 4, 2, 3, 1, 3, 2, 0, 1, 4, 3, 4, 2, 3, 4, 1, 3, 2, 2, 3, 2, 2, 0, 4, 4, 1, 3, 2, 1, 0, 4, 0, 0, 0, 0, 4, 3, 1, 1, 4, 1, 4, 1, 1, 1, 3, 2, 1, 0, 3, 3, 2, 1, 2, 4, 0, 1, 1, 0, 4, 3, 0, 3, 4, 4, 2, 4, 0, 2, 1, 3, 2, 0, 1, 1, 3, 4, 3, 1, 3, 2, 3, 3, 1, 4, 3, 2, 4, 0, 3, 4, 3, 4, 1, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 4, 0, 0, 1, 2, 3, 2, 2, 1, 4, 0, 4, 1, 1, 0, 0, 1, 3, 4, 1, 1, 0, 2, 4, 0, 4, 0, 4, 0, 1, 1, 2, 2, 2, 4, 1, 0, 3, 4, 4, 2, 4, 0, 3, 0, 1, 2, 2, 2, 4, 1, 2, 3, 2, 3, 4, 0, 4, 0, 0, 3, 0, 2, 4, 1, 2, 1, 3, 1, 2, 2, 4, 3, 4, 1, 4, 1, 2, 0, 2, 0, 4, 4, 1, 4, 1, 4, 2, 4, 2, 1, 0, 0, 0, 3, 1, 0, 4, 4, 4, 2, 3, 1, 1, 3, 3, 2, 2, 4, 3, 0, 3, 0, 4, 0, 1, 2, 3, 4, 4, 4, 0, 0, 1, 3, 1, 0, 0, 3, 2, 0, 0, 1, 4, 0, 3, 3, 3, 3, 4, 4, 4, 1, 2, 4, 1, 0, 1, 0, 0, 4, 2, 2, 1, 3, 1, 4, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 3, 1, 3, 4, 0, 4, 3, 1, 4, 2, 2, 4, 0, 0, 1, 2, 1]
pubkeycol369 = [3, 1, 1, 3, 0, 1, 2, 1, 3, 3, 3, 4, 4, 4, 0, 4, 2, 3, 1, 1, 2, 2, 3, 4, 4, 0, 3, 1, 1, 2, 3, 1, 1, 3, 4, 3, 4, 2, 0, 1, 3, 1, 1, 0, 2, 0, 2, 4, 4, 4, 1, 2, 0, 3, 3, 2, 0, 0, 3, 1, 2, 4, 0, 1, 3, 0, 2, 2, 2, 4, 2, 0, 3, 0, 3, 1, 2, 1, 2, 4, 3, 4, 0, 4, 0, 1, 2, 2, 4, 4, 1, 1, 1, 3, 2, 3, 2, 4, 1, 4, 3, 0, 3, 0, 4, 3, 3, 3, 3, 2, 0, 3, 1, 0, 1, 4, 3, 4, 0, 3, 4, 2, 2, 0, 1, 1, 1, 3, 0, 3, 4, 4, 1, 1, 3, 1, 2, 0, 1, 3, 2, 0, 0, 2, 0, 2, 2, 2, 1, 3, 0, 1, 3, 3, 0, 3, 1, 4, 1, 1, 2, 2, 2, 0, 0, 0, 4, 2, 4, 3, 2, 2, 2, 2, 3, 3, 1, 2, 4, 1, 1, 0, 1, 3, 0, 4, 0, 4, 2, 0, 3, 2, 0, 0, 4, 3, 0, 3, 0, 2, 4, 4, 3, 0, 2, 3, 1, 3, 1, 4, 2, 0, 2, 0, 3, 2, 2, 0, 2, 2, 3, 4, 0, 2, 0, 4, 0, 4, 0, 1, 2, 2, 0, 0, 4, 2, 4, 0, 4, 0, 3, 1, 3, 0, 1, 4, 4, 3, 0, 2, 4, 4, 2, 1, 4, 2, 0, 0, 1, 3, 2, 1, 0, 4, 0, 1, 0, 1, 2, 0, 4, 3, 2, 0, 0, 0, 0, 2, 3, 2, 0, 0, 3, 1, 1, 0, 0, 3, 0, 1, 3, 1, 4, 2, 3, 2, 2, 4, 2, 3, 2, 1, 4, 2, 4, 3, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 3, 4, 4, 4]
pubkeycol370 = [2, 2, 0, 2, 2, 2, 4, 4, 2, 3, 1, 0, 1, 0, 4, 0, 1, 1, 4, 4, 3, 2, 3, 4, 1, 4, 1, 2, 0, 2, 3, 3, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 4, 3, 0, 0, 1, 0, 2, 2, 4, 3, 1, 0, 2, 3, 3, 4, 1, 3, 3, 2, 0, 1, 2, 2, 4, 0, 4, 4, 1, 2, 2, 1, 2, 3, 0, 4, 3, 4, 0, 2, 2, 4, 2, 4, 4, 1, 1, 0, 4, 1, 3, 4, 4, 4, 1, 3, 4, 1, 0, 2, 4, 0, 0, 0, 3, 2, 4, 2, 2, 0, 2, 1, 0, 4, 1, 2, 2, 0, 1, 4, 3, 4, 2, 1, 1, 0, 0, 2, 2, 1, 4, 1, 2, 0, 3, 3, 3, 0, 0, 0, 2, 2, 0, 1, 0, 2, 4, 2, 3, 3, 2, 0, 1, 4, 0, 3, 1, 2, 3, 1, 1, 3, 2, 1, 4, 2, 0, 3, 0, 3, 3, 3, 3, 3, 1, 3, 1, 1, 2, 3, 4, 0, 1, 1, 2, 3, 0, 3, 1, 1, 1, 0, 1, 4, 3, 0, 2, 1, 0, 4, 0, 1, 1, 4, 2, 2, 2, 1, 2, 3, 0, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 3, 0, 2, 0, 1, 1, 4, 3, 0, 1, 4, 3, 2, 0, 4, 0, 4, 4, 1, 2, 1, 0, 4, 2, 1, 3, 4, 2, 3, 4, 4, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 4, 1, 3, 0, 0, 4, 0, 0, 0, 2, 1, 1, 4, 4, 1, 0, 4, 3, 2, 4, 4, 0, 4, 4, 1, 2, 2, 0, 1, 2, 4, 1, 0, 2, 2, 0, 2, 4, 1, 1, 2, 0, 3, 2, 1, 0, 0, 0, 3, 0, 1, 1]
pubkeycol371 = [4, 0, 0, 0, 3, 2, 1, 1, 3, 1, 3, 2, 2, 4, 2, 1, 2, 1, 4, 3, 1, 0, 2, 0, 0, 3, 3, 4, 1, 4, 2, 4, 4, 3, 2, 1, 2, 0, 1, 4, 1, 0, 0, 2, 0, 3, 3, 3, 1, 4, 0, 3, 1, 0, 0, 3, 2, 3, 1, 0, 1, 3, 0, 4, 4, 0, 1, 4, 0, 4, 4, 3, 0, 1, 3, 0, 1, 4, 2, 2, 1, 4, 3, 0, 3, 2, 2, 3, 0, 2, 4, 3, 0, 1, 2, 1, 0, 2, 2, 3, 1, 4, 0, 4, 2, 2, 3, 3, 3, 4, 4, 4, 0, 1, 1, 0, 3, 3, 3, 4, 4, 3, 4, 4, 4, 4, 0, 0, 4, 0, 2, 2, 3, 0, 0, 0, 4, 0, 1, 1, 2, 3, 4, 2, 3, 2, 1, 2, 4, 1, 3, 3, 3, 3, 4, 4, 2, 2, 1, 0, 3, 0, 1, 4, 1, 4, 4, 2, 1, 2, 4, 2, 3, 1, 4, 4, 1, 1, 2, 1, 3, 4, 0, 1, 4, 2, 1, 2, 0, 3, 0, 4, 1, 1, 2, 4, 0, 4, 0, 4, 4, 4, 3, 4, 1, 0, 4, 3, 3, 3, 4, 3, 1, 2, 4, 4, 2, 1, 2, 4, 3, 3, 0, 0, 3, 1, 0, 4, 3, 3, 0, 0, 2, 0, 4, 4, 0, 0, 2, 4, 2, 4, 3, 1, 0, 4, 4, 0, 4, 0, 0, 0, 0, 3, 4, 1, 3, 4, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 3, 0, 4, 3, 3, 2, 3, 2, 4, 3, 2, 1, 0, 3, 0, 0, 4, 2, 1, 1, 3, 1, 2, 0, 1, 4, 0, 2, 2, 2, 0, 4, 4, 1, 0, 2, 2, 4, 0, 3, 4, 2, 0, 4, 2, 2, 4, 1, 0, 1, 0, 2]
pubkeycol372 = [4, 2, 4, 0, 1, 3, 1, 4, 0, 1, 3, 1, 1, 3, 2, 0, 4, 3, 1, 2, 4, 4, 1, 0, 2, 2, 2, 4, 4, 2, 2, 1, 0, 2, 2, 3, 3, 0, 4, 4, 1, 1, 1, 3, 0, 3, 2, 4, 0, 4, 3, 1, 4, 2, 4, 4, 4, 3, 2, 0, 0, 3, 0, 0, 1, 2, 2, 0, 0, 4, 3, 4, 2, 3, 2, 3, 3, 1, 0, 2, 0, 3, 3, 1, 2, 4, 2, 1, 1, 1, 4, 1, 3, 2, 3, 0, 1, 3, 0, 3, 2, 0, 4, 2, 1, 4, 3, 3, 4, 0, 3, 1, 2, 4, 2, 2, 1, 0, 3, 1, 1, 4, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 1, 3, 1, 3, 4, 1, 3, 0, 2, 4, 3, 3, 1, 1, 0, 2, 4, 3, 0, 2, 1, 2, 0, 2, 3, 0, 1, 0, 3, 4, 1, 1, 2, 0, 2, 0, 3, 2, 3, 2, 4, 3, 2, 4, 0, 3, 4, 0, 3, 1, 2, 3, 0, 2, 1, 0, 3, 0, 4, 2, 4, 2, 2, 4, 3, 2, 0, 2, 2, 2, 3, 1, 1, 3, 2, 1, 2, 4, 3, 1, 3, 2, 1, 3, 4, 2, 1, 1, 1, 1, 1, 4, 4, 0, 4, 4, 4, 3, 0, 2, 0, 2, 2, 4, 0, 0, 0, 3, 4, 3, 0, 2, 4, 3, 0, 4, 4, 3, 1, 4, 1, 0, 3, 3, 4, 2, 2, 3, 2, 3, 0, 1, 3, 1, 4, 3, 1, 0, 2, 3, 2, 3, 3, 4, 0, 2, 4, 0, 3, 4, 4, 4, 1, 4, 1, 2, 4, 4, 0, 3, 2, 1, 0, 4, 1, 0, 3, 0, 4, 1, 1, 0, 4, 4, 0, 1, 4, 1, 1, 0, 0, 3, 1, 3, 3, 2, 3, 1]
pubkeycol373 = [3, 4, 2, 4, 0, 2, 1, 1, 0, 2, 3, 2, 2, 1, 4, 3, 0, 1, 0, 4, 2, 2, 1, 1, 4, 3, 0, 0, 0, 3, 4, 2, 1, 4, 2, 3, 0, 1, 1, 0, 3, 3, 1, 1, 4, 2, 0, 2, 1, 3, 1, 0, 0, 4, 2, 0, 3, 3, 4, 2, 2, 4, 3, 1, 1, 3, 1, 0, 4, 3, 0, 0, 3, 0, 4, 4, 0, 2, 1, 4, 0, 3, 1, 1, 4, 0, 3, 3, 0, 2, 0, 4, 0, 3, 0, 0, 4, 3, 4, 2, 1, 2, 3, 3, 3, 3, 2, 4, 1, 1, 0, 4, 4, 4, 4, 1, 1, 4, 2, 2, 2, 1, 4, 2, 1, 1, 4, 2, 2, 1, 0, 1, 3, 3, 4, 4, 3, 4, 0, 1, 3, 0, 3, 0, 0, 2, 2, 3, 4, 0, 4, 4, 1, 4, 4, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 0, 3, 3, 3, 1, 1, 0, 0, 1, 4, 1, 1, 2, 2, 0, 4, 4, 2, 2, 4, 4, 3, 0, 1, 4, 4, 4, 4, 1, 4, 4, 2, 2, 2, 0, 3, 0, 1, 1, 3, 2, 2, 2, 3, 0, 0, 2, 2, 2, 4, 2, 2, 4, 2, 2, 1, 4, 4, 2, 2, 1, 4, 0, 4, 3, 4, 3, 2, 4, 3, 3, 0, 0, 4, 4, 3, 1, 2, 0, 2, 1, 4, 4, 2, 1, 0, 2, 0, 3, 3, 3, 1, 1, 1, 1, 1, 4, 4, 4, 3, 0, 1, 1, 4, 3, 3, 4, 2, 2, 2, 0, 4, 2, 0, 2, 4, 3, 1, 2, 0, 3, 1, 2, 2, 0, 2, 2, 3, 2, 1, 4, 1, 4, 4, 0, 4, 4, 4, 3, 3, 2, 1, 3, 2, 4, 1, 4, 4, 0, 1, 0, 4, 2, 0, 1]
pubkeycol374 = [3, 0, 4, 4, 0, 1, 3, 1, 4, 1, 2, 2, 3, 4, 4, 3, 0, 3, 0, 2, 2, 1, 3, 0, 0, 0, 3, 3, 3, 2, 4, 4, 3, 4, 2, 3, 4, 2, 3, 4, 0, 1, 1, 3, 4, 0, 4, 4, 0, 4, 1, 3, 4, 0, 2, 2, 3, 3, 3, 4, 2, 0, 0, 0, 1, 2, 4, 3, 2, 0, 3, 1, 2, 0, 0, 2, 0, 0, 3, 1, 3, 4, 2, 1, 4, 1, 1, 3, 0, 2, 2, 0, 2, 3, 4, 0, 4, 0, 4, 2, 2, 1, 4, 2, 1, 3, 3, 1, 1, 2, 0, 0, 3, 4, 3, 4, 1, 1, 0, 4, 1, 4, 4, 1, 1, 3, 4, 3, 4, 1, 0, 0, 2, 2, 4, 3, 1, 2, 0, 4, 2, 4, 0, 3, 3, 4, 4, 3, 4, 2, 4, 1, 4, 2, 4, 2, 1, 4, 4, 4, 1, 0, 2, 4, 4, 3, 1, 0, 2, 1, 1, 3, 2, 3, 2, 4, 0, 2, 4, 1, 3, 2, 3, 1, 3, 4, 2, 2, 4, 4, 2, 3, 2, 3, 3, 0, 3, 3, 4, 4, 1, 1, 2, 2, 4, 4, 2, 0, 0, 4, 3, 3, 3, 0, 0, 0, 2, 1, 3, 2, 2, 1, 3, 1, 2, 0, 0, 4, 2, 0, 2, 4, 4, 4, 4, 1, 2, 1, 3, 4, 2, 1, 3, 2, 0, 4, 3, 2, 4, 0, 4, 4, 0, 2, 2, 0, 1, 4, 1, 2, 4, 2, 1, 2, 4, 2, 0, 2, 4, 2, 4, 2, 0, 1, 4, 4, 4, 2, 3, 4, 3, 4, 2, 4, 1, 4, 3, 1, 3, 3, 1, 0, 1, 1, 0, 2, 0, 4, 1, 3, 1, 3, 0, 2, 3, 1, 4, 0, 1, 3, 2, 3, 3, 3, 3, 0, 2, 3, 2, 4]
pubkeycol375 = [4, 1, 0, 1, 4, 0, 0, 3, 0, 3, 1, 1, 1, 4, 0, 3, 1, 2, 1, 2, 2, 0, 4, 0, 1, 3, 2, 0, 1, 1, 0, 2, 0, 4, 1, 4, 2, 0, 0, 0, 0, 2, 2, 0, 2, 3, 1, 1, 1, 3, 1, 4, 3, 0, 1, 2, 2, 2, 2, 4, 4, 1, 1, 3, 2, 1, 1, 1, 4, 2, 2, 3, 3, 3, 4, 0, 3, 0, 1, 2, 2, 3, 4, 2, 0, 1, 4, 0, 4, 3, 0, 1, 2, 3, 3, 0, 3, 0, 0, 2, 2, 2, 4, 4, 3, 3, 2, 0, 1, 0, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 3, 4, 4, 1, 3, 2, 1, 1, 3, 1, 1, 3, 1, 0, 2, 0, 1, 2, 2, 3, 4, 1, 1, 3, 0, 2, 4, 4, 3, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 4, 0, 1, 4, 2, 4, 3, 3, 0, 3, 1, 1, 2, 0, 4, 0, 2, 2, 4, 1, 3, 3, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 4, 1, 3, 1, 3, 3, 0, 3, 0, 0, 0, 0, 2, 4, 4, 2, 3, 4, 0, 3, 1, 3, 0, 3, 3, 3, 2, 1, 2, 3, 3, 4, 2, 4, 0, 1, 3, 2, 4, 3, 4, 2, 1, 2, 0, 0, 1, 3, 4, 0, 3, 1, 4, 1, 0, 2, 3, 1, 2, 2, 1, 2, 4, 2, 0, 2, 0, 4, 0, 4, 0, 3, 0, 2, 0, 3, 0, 1, 1, 2, 2, 3, 0, 4, 2, 1, 3, 3, 3, 3, 3, 3, 1, 2, 1, 2, 3, 1, 4, 4, 1, 3, 4, 2, 0, 2, 0, 4, 0, 1, 4, 0, 2, 0, 1, 4, 4, 2, 2, 3, 2, 2, 0, 4, 0]
pubkeycol376 = [0, 3, 4, 4, 4, 2, 3, 4, 3, 0, 3, 1, 0, 0, 2, 2, 1, 0, 1, 4, 4, 2, 3, 1, 3, 1, 4, 0, 3, 1, 3, 0, 3, 4, 0, 1, 4, 3, 0, 4, 1, 1, 1, 1, 0, 0, 1, 3, 3, 2, 0, 3, 1, 1, 2, 4, 3, 4, 3, 0, 0, 1, 4, 1, 3, 3, 4, 4, 4, 0, 4, 2, 4, 0, 3, 3, 0, 4, 4, 3, 1, 1, 3, 0, 3, 2, 3, 1, 3, 2, 4, 2, 0, 1, 2, 1, 0, 2, 4, 3, 3, 0, 0, 4, 3, 0, 4, 4, 4, 1, 3, 2, 0, 1, 0, 4, 2, 0, 3, 4, 3, 3, 4, 2, 1, 4, 1, 1, 3, 0, 3, 3, 4, 2, 2, 4, 2, 0, 3, 1, 2, 1, 1, 0, 0, 2, 3, 1, 2, 2, 4, 4, 0, 4, 0, 4, 1, 3, 1, 2, 1, 1, 3, 0, 4, 1, 0, 4, 1, 0, 4, 0, 2, 1, 0, 0, 4, 4, 2, 4, 3, 4, 2, 4, 1, 4, 0, 2, 1, 2, 4, 4, 3, 2, 3, 0, 3, 0, 2, 4, 3, 1, 0, 4, 4, 3, 3, 4, 2, 0, 0, 1, 3, 4, 0, 2, 4, 3, 2, 4, 4, 3, 0, 1, 1, 4, 3, 3, 1, 0, 3, 3, 4, 0, 3, 4, 1, 4, 2, 4, 0, 3, 0, 2, 0, 3, 1, 0, 1, 2, 0, 1, 3, 0, 0, 3, 2, 3, 0, 1, 0, 4, 0, 2, 4, 0, 1, 3, 2, 1, 4, 4, 3, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 4, 4, 2, 2, 1, 4, 2, 4, 2, 2, 0, 3, 2, 1, 4, 0, 1, 1, 3, 2, 1, 3, 2, 0, 4, 3, 0, 4, 4, 1, 4, 1, 0, 2, 2]
pubkeycol377 = [0, 0, 0, 4, 0, 3, 0, 2, 3, 4, 2, 0, 3, 1, 1, 4, 0, 4, 4, 2, 2, 3, 3, 4, 3, 2, 0, 3, 3, 2, 4, 4, 1, 2, 4, 1, 4, 2, 2, 4, 2, 1, 1, 3, 0, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 3, 0, 4, 4, 2, 0, 4, 4, 1, 4, 4, 3, 1, 3, 4, 3, 0, 1, 4, 2, 3, 0, 0, 2, 4, 4, 3, 2, 4, 4, 1, 3, 4, 3, 1, 4, 3, 0, 3, 1, 0, 1, 0, 3, 0, 0, 3, 2, 1, 4, 2, 4, 4, 1, 4, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 4, 0, 0, 4, 4, 4, 1, 1, 3, 3, 4, 1, 1, 3, 1, 0, 3, 2, 3, 4, 1, 2, 3, 1, 2, 3, 0, 1, 2, 4, 2, 4, 1, 2, 0, 1, 0, 3, 0, 4, 0, 4, 3, 4, 2, 0, 3, 1, 4, 1, 1, 4, 1, 4, 2, 3, 1, 4, 2, 2, 4, 3, 4, 1, 1, 0, 0, 4, 2, 2, 3, 0, 1, 0, 0, 2, 0, 1, 1, 0, 3, 3, 1, 2, 4, 2, 1, 4, 3, 0, 4, 0, 3, 0, 3, 0, 4, 0, 2, 2, 1, 1, 0, 4, 4, 0, 1, 1, 3, 2, 0, 1, 0, 2, 3, 3, 1, 0, 1, 0, 3, 1, 2, 2, 2, 0, 0, 2, 0, 4, 0, 4, 1, 1, 0, 4, 2, 0, 0, 3, 3, 2, 2, 0, 1, 0, 0, 2, 4, 1, 2, 2, 3, 3, 1, 3, 4, 4, 4, 1, 4, 2, 2, 4, 2, 4, 2, 1, 0, 4, 1, 1, 2, 1, 1, 0, 4, 3, 3, 3, 1, 2, 4, 2, 0, 3, 3, 3, 4, 2, 4, 3, 3, 2, 1, 1, 4]
pubkeycol378 = [2, 3, 0, 2, 2, 3, 3, 1, 3, 0, 4, 4, 4, 3, 2, 1, 1, 1, 4, 2, 0, 0, 3, 2, 2, 2, 3, 3, 4, 2, 1, 0, 2, 4, 4, 0, 2, 1, 0, 3, 3, 1, 0, 1, 3, 3, 4, 2, 4, 4, 1, 1, 0, 1, 4, 3, 0, 4, 2, 2, 2, 2, 2, 3, 3, 0, 3, 0, 2, 1, 2, 2, 1, 1, 0, 4, 1, 2, 3, 1, 4, 0, 3, 3, 2, 0, 1, 3, 0, 4, 4, 0, 1, 4, 1, 0, 2, 0, 3, 0, 0, 1, 4, 2, 1, 0, 0, 0, 0, 2, 2, 4, 3, 2, 2, 1, 3, 2, 0, 4, 1, 1, 4, 3, 0, 1, 1, 2, 1, 0, 3, 1, 0, 2, 4, 1, 4, 3, 0, 4, 3, 0, 4, 1, 2, 3, 1, 2, 4, 0, 4, 4, 1, 3, 3, 3, 1, 4, 3, 1, 3, 2, 0, 0, 3, 1, 4, 0, 2, 4, 0, 2, 3, 3, 2, 4, 0, 3, 1, 3, 3, 1, 1, 0, 1, 3, 3, 3, 3, 1, 4, 0, 0, 4, 1, 4, 0, 2, 3, 2, 2, 3, 3, 0, 4, 0, 1, 2, 0, 2, 3, 0, 2, 4, 1, 1, 4, 2, 2, 1, 3, 0, 3, 4, 0, 0, 1, 3, 1, 1, 1, 2, 3, 4, 4, 0, 4, 3, 2, 3, 1, 0, 0, 1, 0, 2, 0, 0, 4, 0, 1, 4, 4, 0, 0, 3, 0, 1, 4, 2, 2, 0, 3, 3, 0, 4, 2, 4, 1, 4, 2, 3, 3, 4, 3, 1, 2, 4, 3, 2, 3, 1, 3, 1, 1, 3, 2, 1, 4, 4, 0, 4, 1, 3, 2, 0, 4, 4, 4, 1, 3, 4, 1, 1, 4, 3, 3, 2, 4, 2, 4, 0, 1, 3, 0, 1, 4, 2, 1, 0]
pubkeycol379 = [1, 2, 0, 1, 1, 2, 1, 3, 2, 4, 0, 3, 2, 3, 0, 3, 0, 0, 0, 2, 2, 0, 0, 3, 3, 4, 4, 0, 4, 0, 4, 1, 2, 4, 4, 1, 3, 0, 1, 3, 1, 2, 3, 4, 2, 1, 3, 4, 2, 1, 4, 3, 0, 0, 4, 4, 4, 2, 0, 4, 0, 2, 0, 0, 3, 4, 0, 2, 3, 1, 3, 4, 2, 2, 3, 2, 2, 1, 3, 0, 1, 2, 2, 4, 4, 4, 2, 2, 3, 1, 2, 2, 2, 4, 0, 1, 0, 3, 4, 3, 2, 2, 2, 4, 3, 1, 2, 3, 2, 1, 3, 1, 4, 3, 1, 4, 0, 3, 2, 3, 4, 1, 2, 2, 2, 1, 3, 2, 2, 4, 4, 4, 1, 3, 0, 4, 4, 3, 4, 3, 4, 0, 0, 1, 3, 4, 3, 1, 2, 2, 1, 1, 0, 1, 3, 3, 4, 3, 4, 3, 4, 2, 2, 3, 3, 3, 1, 0, 0, 1, 2, 1, 1, 1, 1, 4, 2, 4, 1, 0, 0, 0, 3, 2, 3, 0, 1, 2, 3, 3, 0, 3, 2, 1, 1, 3, 3, 4, 0, 3, 0, 1, 3, 1, 1, 0, 4, 3, 4, 0, 4, 2, 1, 2, 2, 0, 4, 3, 0, 1, 3, 1, 3, 1, 1, 4, 3, 2, 3, 4, 1, 1, 0, 2, 3, 4, 1, 1, 3, 0, 4, 3, 1, 4, 0, 2, 2, 3, 3, 2, 2, 3, 1, 1, 1, 4, 3, 4, 4, 3, 3, 4, 1, 0, 2, 4, 0, 1, 3, 2, 0, 2, 4, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 4, 3, 3, 4, 0, 1, 0, 3, 4, 2, 4, 2, 4, 4, 3, 3, 2, 3, 0, 2, 3, 1, 3, 2, 3, 3, 4, 3, 4, 1, 3, 4, 2, 2, 3]
pubkeycol380 = [0, 0, 3, 2, 3, 3, 1, 4, 4, 3, 2, 0, 0, 3, 4, 3, 1, 3, 4, 0, 2, 3, 4, 1, 4, 4, 1, 3, 1, 1, 2, 2, 0, 1, 4, 4, 1, 1, 2, 1, 3, 1, 2, 4, 1, 2, 1, 1, 4, 1, 1, 3, 0, 0, 3, 2, 2, 3, 1, 4, 3, 4, 1, 1, 2, 2, 1, 2, 2, 2, 4, 1, 1, 2, 4, 4, 2, 1, 1, 0, 1, 4, 4, 2, 0, 4, 3, 3, 4, 2, 0, 4, 0, 2, 2, 2, 1, 3, 2, 0, 0, 0, 2, 1, 1, 4, 0, 3, 0, 0, 0, 0, 4, 2, 2, 2, 3, 1, 0, 1, 0, 0, 2, 3, 1, 1, 3, 0, 2, 0, 1, 4, 2, 1, 0, 0, 3, 0, 1, 2, 4, 2, 4, 1, 3, 0, 2, 4, 3, 3, 0, 1, 2, 4, 0, 2, 0, 2, 4, 4, 0, 0, 3, 1, 1, 4, 4, 1, 0, 1, 2, 3, 2, 1, 4, 2, 1, 4, 3, 1, 3, 3, 1, 4, 1, 0, 1, 1, 4, 2, 4, 2, 0, 3, 0, 0, 0, 2, 4, 4, 0, 0, 0, 3, 0, 4, 2, 2, 0, 1, 4, 3, 1, 4, 4, 1, 0, 1, 4, 0, 4, 0, 4, 4, 0, 3, 0, 0, 3, 3, 2, 3, 0, 3, 0, 2, 2, 3, 3, 4, 4, 1, 3, 4, 2, 2, 0, 0, 4, 4, 1, 4, 3, 3, 0, 4, 4, 3, 4, 1, 4, 0, 3, 2, 0, 3, 4, 2, 2, 2, 0, 2, 1, 2, 0, 3, 1, 3, 2, 0, 0, 3, 3, 4, 3, 1, 2, 1, 1, 4, 0, 0, 1, 3, 0, 0, 3, 4, 0, 1, 2, 0, 0, 0, 0, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 2, 4, 1, 1, 4]
pubkeycol381 = [1, 0, 2, 2, 4, 0, 2, 4, 3, 1, 3, 4, 3, 0, 2, 0, 1, 4, 1, 0, 3, 4, 2, 3, 2, 3, 4, 1, 1, 1, 2, 1, 4, 1, 4, 0, 3, 0, 2, 1, 1, 4, 2, 1, 2, 0, 0, 2, 3, 3, 3, 1, 2, 0, 3, 0, 3, 2, 1, 1, 1, 2, 1, 2, 2, 4, 1, 3, 0, 0, 4, 3, 3, 1, 1, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 4, 3, 0, 2, 0, 2, 0, 1, 4, 0, 2, 0, 3, 0, 0, 1, 2, 3, 4, 2, 4, 1, 4, 1, 0, 1, 2, 3, 1, 0, 1, 0, 2, 2, 0, 2, 3, 0, 0, 3, 0, 3, 3, 4, 4, 3, 1, 3, 1, 0, 3, 1, 3, 1, 2, 3, 3, 0, 3, 4, 0, 1, 0, 3, 4, 4, 3, 0, 0, 2, 4, 2, 2, 0, 4, 2, 0, 2, 1, 0, 3, 3, 1, 2, 0, 1, 3, 1, 1, 0, 1, 3, 3, 3, 3, 4, 3, 2, 0, 1, 2, 0, 2, 1, 0, 0, 3, 1, 3, 2, 2, 0, 2, 0, 0, 0, 4, 0, 1, 1, 1, 1, 4, 1, 1, 0, 3, 2, 1, 2, 4, 0, 4, 0, 4, 0, 2, 3, 1, 0, 2, 4, 3, 3, 0, 2, 2, 4, 2, 2, 4, 1, 1, 2, 3, 0, 1, 4, 4, 2, 3, 3, 2, 4, 1, 1, 3, 3, 4, 0, 3, 4, 2, 4, 4, 2, 0, 2, 0, 2, 0, 4, 4, 4, 3, 2, 4, 0, 2, 0, 3, 2, 1, 3, 2, 2, 1, 2, 4, 2, 1, 3, 2, 0, 0, 3, 3, 0, 0, 2, 2, 1, 3, 3, 3, 1, 3, 3, 4, 1, 1, 3, 2, 2, 3, 4, 0, 1, 3, 2, 3, 2, 0]
pubkeycol382 = [4, 4, 2, 0, 4, 1, 3, 0, 4, 0, 3, 2, 2, 3, 4, 3, 4, 2, 3, 3, 1, 4, 3, 2, 4, 0, 1, 2, 2, 0, 4, 1, 2, 4, 4, 4, 1, 3, 2, 0, 2, 0, 0, 2, 2, 3, 3, 1, 4, 2, 0, 0, 2, 0, 3, 1, 0, 2, 1, 0, 2, 0, 4, 2, 0, 3, 2, 0, 2, 4, 3, 2, 1, 4, 2, 0, 4, 0, 2, 3, 0, 2, 4, 0, 2, 4, 1, 4, 4, 1, 1, 2, 0, 3, 1, 0, 4, 0, 2, 3, 3, 1, 3, 3, 2, 0, 3, 0, 1, 4, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 1, 2, 3, 4, 3, 1, 4, 1, 1, 1, 3, 3, 3, 2, 3, 0, 0, 4, 0, 1, 4, 2, 2, 2, 0, 1, 0, 2, 4, 2, 3, 4, 4, 2, 3, 4, 3, 1, 3, 4, 3, 4, 0, 4, 1, 4, 4, 0, 4, 3, 4, 1, 0, 0, 3, 4, 0, 1, 1, 2, 3, 1, 0, 3, 0, 1, 3, 2, 3, 0, 3, 2, 1, 4, 1, 0, 4, 2, 0, 2, 4, 0, 2, 3, 1, 1, 4, 3, 1, 2, 4, 2, 1, 4, 4, 3, 0, 0, 0, 3, 3, 0, 3, 3, 4, 1, 3, 2, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 2, 1, 4, 3, 3, 1, 3, 4, 3, 3, 1, 0, 2, 3, 1, 1, 2, 4, 2, 0, 1, 3, 0, 4, 0, 1, 0, 4, 3, 2, 0, 3, 4, 0, 0, 1, 4, 2, 0, 2, 2, 4, 4, 1, 3, 2, 0, 3, 4, 3, 2, 2, 4, 3, 3, 0, 3, 0, 4, 2, 0, 2, 0, 2, 2, 4, 4, 0, 3, 1, 0, 3, 3, 3, 4, 2, 4, 3, 1, 2, 1]
pubkeycol383 = [2, 3, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 0, 3, 0, 0, 1, 2, 1, 4, 2, 2, 1, 1, 3, 2, 1, 1, 4, 1, 4, 2, 0, 3, 1, 3, 0, 3, 4, 4, 2, 4, 4, 4, 4, 1, 4, 3, 3, 4, 2, 3, 3, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 4, 4, 1, 3, 3, 0, 3, 0, 3, 1, 0, 3, 2, 4, 4, 0, 1, 3, 0, 3, 4, 4, 1, 3, 4, 0, 3, 1, 1, 4, 0, 4, 2, 1, 2, 3, 3, 0, 1, 4, 4, 1, 0, 0, 1, 4, 2, 0, 2, 3, 3, 1, 3, 0, 4, 2, 0, 3, 3, 1, 3, 2, 3, 3, 3, 4, 3, 3, 4, 2, 2, 0, 4, 0, 2, 0, 3, 4, 3, 2, 2, 1, 0, 4, 0, 1, 2, 1, 4, 4, 1, 4, 3, 2, 2, 1, 4, 1, 4, 2, 1, 1, 0, 0, 1, 3, 1, 3, 3, 1, 3, 0, 4, 3, 2, 4, 2, 1, 2, 0, 2, 4, 0, 2, 3, 0, 1, 4, 1, 4, 3, 4, 0, 2, 4, 2, 4, 4, 1, 2, 1, 2, 2, 0, 1, 2, 2, 4, 1, 1, 3, 4, 1, 2, 0, 3, 2, 3, 2, 4, 2, 0, 3, 3, 2, 1, 0, 2, 2, 3, 1, 4, 2, 3, 2, 4, 2, 0, 3, 0, 2, 0, 1, 4, 0, 3, 1, 0, 3, 4, 2, 2, 4, 4, 2, 1, 1, 4, 3, 3, 4, 4, 3, 0, 2, 3, 0, 1, 4, 3, 2, 3, 4, 3, 1, 0, 1, 1, 0, 3, 4, 4, 3, 0, 1, 0, 3, 4, 3, 0, 2, 1, 4, 4, 1, 4, 2, 0, 4, 3, 4, 4, 1, 2, 0, 0, 2, 4, 2, 1, 2]
pubkeycol384 = [1, 3, 3, 4, 3, 3, 3, 1, 2, 0, 2, 1, 4, 0, 3, 0, 3, 2, 3, 2, 2, 4, 2, 2, 0, 2, 1, 0, 1, 3, 0, 1, 4, 4, 1, 4, 3, 1, 2, 3, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 1, 4, 1, 2, 4, 4, 1, 1, 3, 3, 0, 1, 1, 0, 1, 3, 3, 0, 3, 2, 2, 0, 1, 2, 1, 0, 2, 3, 0, 4, 1, 1, 0, 3, 2, 3, 4, 0, 2, 3, 0, 4, 3, 0, 1, 0, 0, 2, 0, 0, 2, 4, 1, 4, 0, 3, 0, 1, 2, 3, 3, 2, 3, 4, 2, 0, 1, 3, 4, 3, 3, 4, 3, 4, 1, 4, 4, 4, 4, 1, 0, 3, 3, 2, 3, 1, 2, 1, 3, 4, 2, 3, 4, 3, 4, 0, 3, 4, 1, 4, 3, 2, 2, 2, 3, 0, 1, 1, 4, 0, 0, 0, 4, 2, 4, 4, 2, 1, 4, 2, 4, 1, 4, 2, 0, 2, 0, 4, 2, 0, 1, 3, 3, 4, 3, 3, 2, 0, 2, 0, 3, 4, 3, 1, 3, 0, 0, 0, 2, 4, 0, 0, 2, 0, 3, 0, 4, 4, 1, 1, 3, 0, 0, 1, 1, 2, 4, 1, 0, 1, 4, 4, 0, 3, 1, 2, 4, 1, 1, 3, 4, 0, 0, 1, 3, 1, 1, 3, 4, 2, 4, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 4, 1, 2, 3, 0, 4, 1, 4, 3, 1, 4, 4, 0, 1, 3, 0, 3, 1, 1, 4, 3, 1, 1, 0, 1, 3, 3, 0, 2, 2, 2, 1, 4, 1, 3, 4, 0, 4, 0, 4, 1, 2, 3, 4, 4, 1, 0, 1, 3, 3, 2, 0, 1, 1, 3, 0, 1, 1, 1, 2, 1, 3, 4]
pubkeycol385 = [4, 0, 1, 3, 1, 1, 3, 3, 2, 4, 1, 2, 0, 4, 0, 3, 4, 1, 3, 3, 1, 0, 3, 2, 4, 4, 2, 0, 1, 0, 4, 2, 4, 1, 1, 0, 4, 3, 2, 2, 2, 4, 3, 3, 4, 1, 2, 0, 4, 3, 1, 1, 2, 3, 4, 2, 2, 1, 3, 4, 1, 1, 4, 3, 2, 3, 0, 3, 4, 2, 4, 0, 0, 3, 1, 2, 3, 2, 3, 1, 4, 4, 0, 1, 3, 2, 4, 2, 2, 1, 2, 0, 4, 0, 0, 2, 0, 4, 0, 2, 3, 4, 2, 4, 3, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 4, 4, 1, 2, 0, 2, 3, 0, 0, 0, 3, 1, 0, 1, 0, 0, 2, 2, 1, 0, 4, 1, 1, 2, 0, 4, 2, 0, 0, 1, 3, 2, 1, 1, 3, 0, 0, 1, 0, 3, 4, 4, 3, 2, 4, 3, 4, 1, 2, 2, 4, 4, 3, 0, 4, 3, 2, 3, 0, 4, 1, 3, 2, 4, 4, 4, 2, 2, 2, 0, 4, 3, 1, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 1, 4, 3, 3, 0, 2, 3, 0, 4, 4, 3, 4, 4, 2, 4, 3, 1, 3, 3, 1, 0, 2, 3, 4, 0, 1, 2, 1, 3, 0, 3, 1, 4, 4, 4, 1, 0, 4, 3, 1, 2, 1, 0, 1, 4, 1, 2, 3, 1, 1, 3, 1, 4, 3, 0, 1, 4, 0, 2, 0, 1, 4, 4, 1, 3, 2, 0, 1, 1, 4, 1, 3, 0, 0, 0, 1, 4, 2, 4, 4, 3, 1, 3, 3, 1, 1, 1, 1, 4, 3, 3, 2, 4, 1, 3, 4, 4, 2, 0, 2, 3, 2, 4, 3, 4, 0, 3, 0, 0, 2, 3, 0, 3, 2, 4, 0, 2, 2, 4, 0, 0, 2]
pubkeycol386 = [0, 2, 0, 0, 4, 4, 1, 1, 4, 0, 2, 1, 2, 3, 3, 4, 2, 3, 4, 0, 3, 3, 4, 2, 1, 3, 0, 2, 2, 4, 4, 1, 4, 3, 0, 0, 0, 0, 3, 1, 0, 2, 3, 0, 2, 1, 3, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 3, 4, 4, 3, 4, 0, 0, 3, 1, 4, 2, 2, 0, 4, 0, 4, 3, 1, 1, 2, 0, 2, 1, 3, 4, 3, 0, 0, 2, 4, 1, 3, 1, 3, 3, 0, 2, 1, 2, 1, 4, 2, 3, 3, 1, 1, 3, 2, 1, 1, 2, 4, 4, 1, 2, 1, 3, 0, 4, 0, 3, 3, 3, 2, 3, 0, 1, 1, 3, 2, 4, 3, 1, 4, 3, 1, 2, 4, 1, 1, 2, 3, 0, 0, 4, 4, 0, 0, 3, 0, 2, 3, 4, 4, 1, 3, 3, 0, 2, 2, 1, 2, 4, 3, 4, 2, 1, 2, 4, 2, 3, 2, 4, 0, 0, 1, 0, 3, 4, 0, 1, 4, 1, 2, 2, 4, 2, 0, 2, 4, 3, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 4, 2, 0, 2, 3, 0, 4, 4, 0, 4, 2, 3, 2, 2, 0, 1, 0, 0, 3, 0, 0, 3, 4, 4, 1, 4, 1, 3, 2, 2, 4, 3, 2, 1, 3, 1, 0, 1, 4, 3, 2, 1, 1, 1, 3, 0, 4, 1, 1, 4, 1, 3, 3, 2, 2, 4, 4, 3, 1, 1, 2, 0, 0, 2, 0, 4, 1, 2, 1, 4, 3, 2, 4, 1, 4, 0, 2, 2, 1, 0, 1, 0, 4, 1, 3, 3, 1, 0, 0, 1, 4, 1, 4, 2, 4, 1, 3, 1, 4, 2, 2, 4, 3, 2, 2, 2, 1, 3, 4, 2, 0, 0, 4, 4, 1, 3, 0, 4, 3, 4]
pubkeycol387 = [3, 3, 4, 0, 3, 2, 4, 0, 4, 2, 1, 1, 1, 2, 1, 1, 0, 4, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 4, 0, 3, 1, 0, 1, 2, 2, 0, 0, 4, 2, 3, 3, 1, 4, 3, 4, 4, 4, 0, 0, 4, 4, 0, 2, 0, 1, 0, 2, 4, 3, 3, 1, 3, 4, 0, 0, 0, 3, 4, 4, 1, 1, 4, 4, 0, 0, 0, 3, 2, 1, 1, 0, 0, 3, 2, 1, 3, 2, 0, 1, 4, 2, 0, 1, 3, 4, 3, 0, 2, 2, 1, 0, 3, 4, 4, 2, 0, 2, 0, 0, 4, 1, 1, 4, 3, 0, 0, 3, 0, 2, 1, 0, 1, 1, 4, 3, 3, 3, 0, 1, 0, 3, 2, 0, 3, 2, 1, 3, 4, 0, 3, 3, 1, 3, 2, 3, 3, 4, 0, 3, 3, 1, 2, 2, 2, 4, 4, 0, 1, 3, 2, 0, 1, 1, 0, 3, 0, 2, 3, 3, 1, 2, 1, 0, 4, 2, 0, 4, 4, 2, 3, 1, 2, 3, 0, 4, 1, 1, 0, 0, 1, 3, 1, 1, 2, 2, 0, 2, 4, 1, 3, 4, 3, 4, 4, 4, 1, 0, 1, 3, 4, 0, 0, 1, 2, 0, 2, 4, 0, 3, 1, 1, 2, 1, 0, 2, 3, 3, 1, 2, 3, 3, 2, 1, 0, 3, 2, 3, 2, 1, 2, 3, 2, 0, 2, 1, 4, 2, 4, 2, 1, 1, 1, 3, 4, 2, 2, 1, 4, 3, 1, 4, 0, 1, 1, 2, 0, 3, 1, 3, 4, 3, 0, 3, 3, 2, 0, 0, 0, 0, 0, 1, 4, 4, 4, 2, 4, 1, 3, 1, 3, 1, 3, 1, 1, 0, 4, 3, 3, 4, 2, 2, 1, 4, 1, 4, 0, 1, 0, 0, 0, 2, 3, 2, 4, 1, 1, 2, 2, 4]
pubkeycol388 = [3, 3, 1, 4, 4, 2, 2, 1, 0, 0, 2, 0, 4, 3, 2, 4, 4, 1, 4, 0, 3, 3, 4, 0, 4, 2, 1, 3, 0, 0, 1, 0, 0, 3, 1, 0, 1, 1, 3, 0, 2, 3, 2, 2, 2, 4, 1, 1, 1, 1, 3, 3, 4, 0, 0, 1, 4, 1, 3, 0, 2, 2, 0, 3, 0, 4, 4, 2, 1, 3, 2, 2, 4, 0, 0, 0, 0, 1, 4, 3, 3, 1, 2, 0, 2, 3, 2, 0, 1, 1, 1, 1, 4, 2, 0, 2, 2, 1, 3, 0, 4, 1, 3, 4, 0, 2, 2, 4, 3, 2, 1, 2, 3, 0, 1, 1, 0, 1, 2, 2, 3, 0, 0, 4, 1, 4, 0, 4, 3, 3, 1, 3, 1, 4, 0, 2, 1, 4, 0, 0, 2, 4, 3, 1, 4, 0, 0, 3, 2, 2, 2, 1, 3, 3, 2, 2, 3, 0, 4, 1, 2, 3, 0, 4, 4, 3, 4, 4, 4, 0, 1, 3, 4, 0, 4, 4, 2, 4, 3, 4, 3, 3, 4, 2, 0, 2, 0, 4, 2, 1, 1, 4, 0, 4, 1, 2, 0, 4, 0, 4, 2, 0, 1, 4, 0, 1, 2, 2, 2, 3, 0, 3, 2, 2, 0, 0, 0, 4, 4, 1, 2, 0, 4, 2, 4, 2, 3, 1, 2, 0, 2, 3, 2, 4, 4, 3, 2, 1, 0, 4, 1, 1, 3, 1, 3, 3, 1, 1, 3, 3, 3, 3, 2, 2, 4, 1, 1, 4, 3, 2, 0, 2, 3, 2, 4, 4, 4, 1, 1, 4, 1, 0, 4, 2, 2, 2, 4, 0, 2, 4, 2, 4, 2, 3, 4, 1, 2, 3, 3, 3, 3, 2, 0, 0, 3, 3, 2, 4, 3, 4, 4, 0, 2, 2, 0, 2, 1, 4, 1, 2, 4, 0, 0, 4, 0, 2, 3, 4, 3, 4]
pubkeycol389 = [2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 3, 3, 0, 1, 2, 1, 0, 4, 4, 2, 2, 3, 2, 4, 3, 4, 3, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 4, 3, 1, 1, 3, 1, 1, 3, 1, 2, 3, 4, 1, 1, 2, 4, 4, 0, 3, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 3, 2, 4, 1, 1, 2, 2, 4, 3, 4, 2, 3, 4, 1, 3, 3, 4, 4, 4, 0, 3, 2, 1, 4, 4, 3, 1, 3, 1, 1, 1, 3, 4, 2, 2, 3, 0, 2, 1, 0, 3, 0, 2, 4, 3, 0, 3, 4, 3, 1, 0, 2, 1, 1, 3, 4, 3, 1, 3, 3, 3, 2, 3, 0, 4, 1, 1, 4, 1, 3, 4, 0, 0, 0, 0, 3, 4, 0, 1, 3, 3, 3, 3, 3, 3, 2, 0, 0, 4, 0, 3, 1, 3, 1, 2, 0, 0, 2, 3, 1, 0, 1, 4, 3, 3, 3, 0, 3, 4, 3, 4, 2, 3, 0, 2, 3, 2, 0, 4, 0, 2, 2, 0, 4, 1, 0, 3, 3, 3, 0, 0, 1, 4, 0, 0, 1, 0, 2, 1, 1, 3, 1, 1, 2, 0, 4, 0, 3, 0, 4, 2, 4, 1, 3, 1, 3, 0, 4, 4, 3, 0, 4, 4, 1, 4, 2, 0, 0, 4, 2, 3, 1, 3, 4, 3, 3, 1, 3, 4, 0, 2, 2, 2, 2, 1, 4, 1, 3, 0, 2, 0, 1, 2, 3, 3, 2, 0, 2, 0, 3, 1, 3, 4, 0, 0, 0, 1, 1, 1, 2, 3, 0, 3, 2, 2, 1, 1, 2, 3, 1, 2, 0, 4, 1, 3, 1, 3, 1, 2, 3, 2, 1, 0, 3, 1, 3, 0, 1, 1, 1, 4, 0, 1]
pubkeycol390 = [3, 2, 2, 3, 3, 1, 3, 4, 2, 2, 1, 1, 0, 3, 1, 4, 1, 3, 4, 3, 2, 0, 2, 0, 2, 3, 2, 2, 3, 3, 1, 4, 2, 1, 4, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 3, 3, 2, 3, 0, 2, 2, 4, 3, 0, 0, 4, 0, 3, 2, 2, 3, 1, 4, 4, 3, 0, 3, 1, 2, 4, 3, 0, 1, 0, 3, 1, 0, 3, 4, 2, 4, 1, 3, 1, 0, 1, 0, 2, 2, 3, 1, 0, 2, 1, 3, 0, 4, 3, 3, 0, 0, 4, 0, 0, 2, 4, 3, 0, 2, 2, 0, 2, 2, 2, 0, 4, 1, 3, 4, 4, 2, 2, 0, 2, 4, 2, 3, 3, 1, 2, 2, 0, 1, 4, 0, 3, 2, 0, 3, 2, 4, 3, 1, 2, 1, 3, 1, 0, 3, 0, 0, 2, 3, 4, 2, 0, 3, 0, 3, 0, 2, 1, 2, 0, 0, 1, 4, 2, 1, 4, 0, 0, 2, 3, 3, 0, 3, 1, 3, 1, 0, 3, 0, 1, 1, 2, 1, 1, 2, 3, 0, 4, 2, 0, 3, 1, 4, 3, 4, 4, 3, 1, 3, 0, 3, 1, 4, 4, 1, 0, 4, 1, 3, 2, 1, 1, 0, 4, 0, 1, 4, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 4, 2, 4, 4, 4, 1, 3, 2, 1, 4, 2, 1, 4, 4, 2, 2, 3, 1, 4, 2, 1, 3, 3, 3, 4, 3, 3, 0, 1, 1, 0, 4, 1, 0, 0, 2, 2, 3, 1, 0, 1, 3, 2, 0, 3, 0, 2, 0, 0, 1, 3, 3, 2, 3, 2, 4, 2, 1, 0, 3, 3, 1, 3, 4, 1, 3, 3, 0, 3, 2, 1, 0, 2, 2, 3, 0, 2, 3, 4, 3, 3, 2, 4, 1, 3, 4, 2]
pubkeycol391 = [3, 1, 4, 4, 2, 1, 1, 3, 3, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 3, 2, 0, 1, 3, 4, 4, 2, 2, 1, 3, 3, 4, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 3, 4, 1, 0, 4, 0, 4, 2, 3, 1, 3, 3, 0, 4, 0, 0, 3, 2, 2, 3, 1, 1, 2, 3, 1, 4, 4, 4, 1, 4, 2, 1, 4, 4, 4, 3, 4, 0, 2, 1, 3, 1, 3, 2, 1, 2, 1, 4, 2, 1, 2, 0, 0, 3, 3, 0, 1, 2, 3, 1, 3, 0, 3, 1, 0, 2, 3, 0, 1, 4, 3, 4, 1, 1, 0, 3, 3, 2, 4, 1, 1, 4, 1, 3, 0, 4, 4, 4, 3, 3, 4, 0, 4, 1, 3, 3, 4, 4, 4, 0, 2, 4, 2, 0, 3, 2, 0, 2, 0, 4, 4, 1, 0, 0, 4, 0, 1, 0, 0, 3, 0, 1, 4, 0, 4, 4, 2, 1, 2, 3, 0, 4, 1, 1, 3, 0, 2, 4, 1, 4, 2, 4, 4, 0, 3, 2, 2, 2, 2, 4, 3, 1, 1, 3, 4, 1, 1, 4, 2, 2, 0, 4, 2, 0, 1, 4, 3, 3, 4, 4, 2, 0, 3, 3, 3, 0, 4, 4, 0, 2, 0, 2, 3, 1, 3, 0, 4, 3, 2, 0, 2, 4, 2, 3, 2, 2, 0, 3, 3, 1, 3, 4, 0, 1, 0, 0, 4, 0, 1, 4, 2, 2, 0, 0, 2, 0, 1, 3, 2, 2, 4, 1, 2, 0, 3, 2, 4, 2, 2, 4, 4, 1, 4, 3, 4, 1, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 2, 0, 3, 2, 1, 4, 0, 4, 4, 0, 3, 2, 4, 3, 1, 2, 2, 3, 1, 3, 4, 3, 3, 3, 1, 1, 0, 1, 3]
pubkeycol392 = [2, 4, 0, 2, 3, 0, 4, 4, 3, 0, 0, 2, 2, 3, 4, 3, 4, 4, 2, 0, 1, 4, 2, 3, 0, 4, 2, 0, 4, 3, 0, 2, 3, 0, 0, 1, 0, 1, 3, 0, 1, 0, 0, 0, 0, 2, 0, 2, 3, 4, 2, 1, 4, 2, 1, 1, 0, 2, 4, 1, 3, 4, 0, 2, 2, 4, 3, 0, 3, 1, 1, 4, 4, 2, 1, 3, 2, 2, 2, 0, 4, 0, 4, 1, 1, 0, 0, 0, 2, 3, 0, 0, 3, 2, 4, 3, 4, 4, 0, 0, 0, 3, 3, 1, 4, 4, 1, 1, 2, 4, 2, 1, 3, 2, 1, 2, 0, 4, 0, 1, 2, 4, 2, 0, 3, 2, 0, 1, 1, 3, 1, 3, 4, 3, 2, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 0, 4, 4, 3, 2, 1, 3, 0, 3, 3, 2, 2, 2, 4, 0, 1, 2, 0, 0, 0, 1, 1, 0, 3, 3, 4, 1, 3, 4, 2, 3, 2, 4, 2, 0, 2, 4, 1, 1, 1, 0, 0, 3, 3, 4, 0, 2, 4, 4, 3, 2, 3, 2, 1, 4, 3, 2, 0, 2, 1, 3, 4, 0, 0, 1, 2, 3, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 4, 4, 4, 2, 4, 1, 1, 1, 1, 1, 0, 4, 3, 4, 2, 0, 3, 3, 4, 2, 1, 0, 1, 1, 4, 2, 2, 2, 3, 1, 2, 2, 1, 1, 3, 1, 0, 3, 0, 2, 3, 2, 0, 3, 3, 1, 0, 3, 4, 2, 3, 4, 2, 1, 3, 1, 3, 1, 1, 0, 2, 1, 2, 4, 4, 3, 0, 4, 4, 2, 2, 3, 3, 2, 1, 0, 3, 4, 4, 2, 1, 1, 1, 0, 4, 0, 4, 4, 3, 2, 2, 0, 4, 2, 3, 3, 3]
pubkeycol393 = [0, 3, 4, 0, 4, 4, 2, 1, 2, 2, 4, 1, 2, 3, 4, 2, 3, 3, 2, 3, 0, 0, 1, 4, 0, 3, 2, 4, 0, 0, 3, 0, 1, 0, 4, 4, 4, 3, 3, 4, 3, 1, 0, 0, 0, 0, 4, 1, 2, 3, 0, 1, 2, 4, 3, 2, 1, 3, 3, 4, 4, 2, 2, 0, 0, 1, 4, 2, 0, 0, 1, 1, 2, 4, 1, 4, 1, 0, 2, 4, 1, 4, 4, 2, 0, 4, 1, 1, 4, 0, 3, 1, 4, 4, 2, 3, 4, 2, 2, 2, 1, 4, 2, 2, 3, 4, 4, 2, 1, 0, 4, 4, 2, 1, 4, 1, 4, 4, 0, 2, 4, 0, 0, 3, 2, 4, 3, 2, 0, 3, 2, 2, 1, 2, 2, 3, 2, 0, 4, 1, 4, 0, 1, 1, 4, 4, 0, 3, 4, 4, 2, 4, 2, 2, 0, 0, 0, 3, 2, 2, 4, 0, 0, 2, 0, 4, 3, 1, 2, 1, 1, 2, 4, 2, 4, 1, 1, 1, 1, 1, 3, 3, 0, 4, 1, 2, 0, 3, 0, 2, 0, 2, 4, 4, 2, 3, 2, 4, 1, 4, 4, 2, 4, 0, 3, 0, 3, 2, 2, 0, 0, 4, 4, 0, 0, 3, 0, 3, 0, 4, 0, 4, 2, 4, 4, 2, 2, 4, 1, 0, 4, 1, 4, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 3, 4, 3, 2, 2, 4, 2, 2, 0, 3, 0, 1, 2, 0, 3, 4, 2, 3, 4, 4, 2, 2, 2, 1, 3, 0, 3, 4, 0, 2, 4, 0, 1, 2, 1, 3, 0, 4, 2, 0, 3, 4, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 1, 3, 3, 3, 1, 3, 1, 0, 4, 2, 0, 0, 3, 0, 3, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2]
pubkeycol394 = [0, 3, 3, 0, 1, 0, 3, 4, 2, 3, 0, 1, 3, 1, 0, 4, 1, 0, 1, 3, 4, 0, 1, 4, 4, 3, 3, 0, 3, 4, 1, 3, 0, 1, 3, 4, 2, 4, 4, 2, 0, 0, 2, 3, 1, 1, 0, 0, 2, 2, 0, 1, 3, 3, 3, 3, 4, 1, 2, 2, 1, 4, 4, 0, 3, 3, 2, 3, 3, 4, 3, 3, 1, 0, 0, 1, 1, 0, 0, 3, 2, 0, 4, 0, 0, 3, 3, 3, 2, 0, 4, 0, 0, 2, 0, 4, 1, 1, 2, 4, 2, 0, 3, 0, 2, 1, 0, 2, 1, 4, 2, 2, 1, 4, 2, 2, 2, 1, 0, 4, 4, 0, 2, 3, 3, 4, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 3, 0, 1, 0, 0, 0, 2, 0, 0, 3, 3, 4, 2, 0, 4, 0, 2, 2, 3, 0, 0, 2, 1, 4, 3, 0, 2, 3, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 3, 4, 3, 4, 0, 3, 0, 1, 2, 0, 3, 2, 2, 1, 2, 1, 4, 1, 1, 0, 1, 1, 0, 3, 0, 1, 4, 2, 1, 3, 3, 0, 1, 0, 2, 4, 0, 3, 2, 1, 2, 0, 1, 3, 1, 3, 2, 3, 4, 1, 0, 2, 1, 4, 4, 0, 1, 0, 4, 4, 3, 0, 3, 1, 4, 4, 4, 3, 1, 1, 4, 2, 2, 4, 4, 1, 3, 2, 2, 0, 4, 1, 4, 4, 1, 0, 1, 0, 3, 4, 2, 1, 1, 2, 0, 3, 4, 3, 2, 1, 2, 3, 4, 0, 0, 4, 3, 2, 4, 3, 3, 4, 0, 4, 0, 0, 3, 1, 3, 3, 1, 1, 4, 1, 3, 2, 3, 2, 4, 2, 1, 0, 2, 2, 3, 1, 0, 0, 2, 3, 0, 1, 4, 4]
pubkeycol395 = [1, 3, 4, 0, 1, 3, 1, 1, 1, 1, 1, 4, 1, 3, 1, 1, 4, 3, 2, 0, 4, 1, 1, 1, 2, 3, 1, 4, 4, 1, 4, 0, 0, 3, 3, 2, 3, 2, 2, 3, 2, 3, 0, 3, 3, 3, 0, 3, 4, 3, 2, 0, 3, 1, 1, 2, 1, 2, 1, 1, 3, 3, 4, 4, 4, 1, 1, 3, 0, 2, 1, 1, 1, 1, 1, 4, 1, 0, 2, 1, 4, 4, 2, 1, 2, 3, 0, 4, 4, 0, 2, 2, 3, 2, 1, 3, 1, 4, 1, 3, 2, 3, 1, 1, 0, 3, 4, 1, 1, 4, 3, 1, 3, 2, 4, 4, 0, 2, 0, 4, 3, 4, 1, 0, 1, 4, 2, 0, 1, 4, 2, 2, 3, 2, 3, 0, 2, 4, 1, 4, 2, 1, 1, 4, 4, 2, 3, 3, 0, 2, 4, 1, 2, 2, 4, 3, 4, 2, 1, 0, 4, 1, 4, 0, 1, 1, 1, 0, 2, 2, 0, 0, 4, 3, 0, 2, 1, 3, 1, 3, 4, 1, 2, 3, 4, 1, 1, 4, 3, 2, 1, 4, 0, 4, 4, 2, 4, 1, 4, 2, 3, 3, 0, 1, 0, 1, 4, 0, 4, 0, 2, 1, 4, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 1, 1, 4, 0, 1, 4, 3, 1, 4, 0, 2, 1, 2, 3, 3, 1, 1, 0, 0, 1, 2, 3, 3, 3, 2, 4, 2, 0, 4, 0, 4, 4, 2, 2, 4, 2, 1, 3, 4, 2, 0, 4, 1, 0, 1, 2, 0, 3, 3, 0, 2, 0, 1, 4, 1, 3, 4, 2, 1, 1, 0, 2, 4, 0, 3, 4, 4, 0, 2, 2, 4, 3, 3, 0, 4, 4, 4, 4, 0, 3, 1, 4, 4, 4, 1, 0, 4, 2, 4, 2, 1, 4, 0, 1, 4, 4]
pubkeycol396 = [1, 2, 4, 2, 3, 4, 4, 4, 1, 4, 1, 0, 2, 1, 4, 4, 2, 0, 1, 3, 0, 0, 1, 0, 4, 2, 0, 1, 1, 4, 4, 1, 4, 4, 3, 3, 4, 2, 2, 1, 4, 1, 0, 0, 1, 1, 4, 0, 2, 1, 4, 4, 4, 4, 4, 2, 2, 3, 4, 3, 0, 3, 0, 1, 4, 0, 2, 4, 2, 2, 0, 1, 4, 4, 0, 4, 0, 0, 2, 2, 1, 0, 1, 3, 2, 4, 4, 0, 0, 4, 2, 2, 0, 3, 1, 0, 0, 1, 2, 0, 3, 1, 0, 2, 3, 1, 3, 0, 2, 0, 2, 2, 3, 2, 2, 0, 1, 3, 3, 1, 0, 4, 2, 3, 1, 4, 3, 0, 4, 4, 1, 3, 2, 4, 0, 1, 4, 0, 2, 4, 1, 3, 0, 0, 1, 3, 2, 3, 0, 2, 3, 0, 3, 1, 1, 3, 2, 4, 4, 0, 0, 2, 1, 4, 0, 1, 4, 1, 1, 2, 3, 2, 0, 0, 0, 2, 3, 0, 1, 3, 3, 1, 4, 1, 1, 1, 2, 0, 1, 0, 3, 2, 2, 3, 3, 1, 3, 3, 1, 2, 2, 2, 4, 4, 3, 1, 2, 2, 2, 3, 1, 0, 2, 0, 0, 3, 3, 3, 1, 3, 3, 3, 2, 4, 2, 0, 2, 3, 4, 2, 2, 0, 4, 3, 0, 1, 0, 3, 1, 4, 1, 0, 2, 0, 1, 0, 0, 1, 4, 4, 1, 2, 0, 4, 0, 3, 2, 3, 3, 0, 4, 1, 4, 3, 4, 1, 1, 4, 2, 4, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 3, 2, 2, 1, 3, 3, 3, 3, 3, 4, 4, 2, 2, 4, 4, 0, 0, 4, 4, 3, 4, 3, 3, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 3, 3, 2, 1, 0, 3]
pubkeycol397 = [2, 1, 0, 4, 0, 0, 3, 2, 0, 4, 1, 3, 4, 0, 0, 1, 2, 3, 1, 4, 0, 0, 3, 4, 4, 2, 4, 3, 0, 4, 4, 2, 4, 4, 3, 0, 4, 2, 0, 3, 1, 1, 1, 3, 1, 0, 3, 2, 3, 0, 4, 0, 4, 3, 2, 0, 2, 0, 2, 3, 4, 4, 2, 4, 1, 1, 1, 3, 2, 4, 2, 4, 4, 3, 2, 0, 1, 1, 1, 0, 3, 2, 0, 4, 0, 2, 1, 0, 1, 1, 2, 3, 2, 1, 0, 2, 1, 1, 4, 1, 1, 1, 2, 3, 1, 3, 2, 2, 0, 0, 0, 1, 0, 2, 4, 0, 3, 0, 4, 4, 0, 4, 4, 0, 1, 4, 2, 2, 4, 1, 4, 1, 2, 4, 3, 0, 0, 0, 1, 3, 1, 4, 0, 0, 2, 2, 2, 1, 3, 3, 0, 4, 3, 0, 3, 0, 3, 2, 2, 0, 0, 1, 1, 2, 0, 4, 1, 2, 2, 3, 1, 1, 0, 2, 0, 2, 4, 4, 0, 3, 2, 3, 2, 2, 2, 0, 3, 2, 1, 2, 4, 4, 1, 4, 4, 0, 2, 2, 2, 1, 3, 0, 4, 1, 3, 3, 4, 1, 4, 3, 2, 2, 3, 4, 2, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 3, 4, 2, 3, 2, 1, 0, 3, 2, 1, 1, 4, 3, 2, 4, 4, 3, 0, 3, 2, 3, 3, 3, 1, 1, 1, 4, 3, 2, 1, 3, 0, 2, 4, 2, 4, 0, 1, 1, 4, 4, 4, 3, 0, 4, 3, 1, 0, 2, 3, 1, 3, 1, 4, 0, 1, 3, 1, 1, 1, 2, 2, 3, 4, 2, 3, 4, 4, 2, 4, 1, 1, 1, 0, 2, 3, 0, 4, 4, 0, 1, 4, 1, 3, 0, 4, 4, 1, 1, 3, 1, 4, 3, 1, 4]
pubkeycol398 = [0, 1, 0, 3, 3, 2, 4, 2, 1, 1, 1, 1, 0, 3, 0, 1, 4, 4, 3, 4, 4, 4, 4, 3, 1, 2, 4, 0, 0, 0, 3, 3, 0, 4, 0, 4, 4, 0, 2, 4, 0, 0, 0, 1, 2, 2, 2, 0, 4, 4, 1, 0, 0, 2, 0, 3, 4, 0, 3, 2, 4, 4, 3, 3, 4, 3, 4, 2, 1, 4, 1, 4, 4, 0, 1, 3, 4, 1, 1, 0, 2, 3, 4, 2, 4, 1, 1, 3, 3, 2, 0, 3, 0, 1, 4, 2, 0, 2, 4, 1, 1, 1, 4, 4, 1, 4, 0, 3, 1, 3, 3, 1, 4, 4, 4, 3, 2, 0, 1, 4, 4, 0, 3, 3, 2, 0, 0, 3, 0, 1, 0, 2, 0, 4, 3, 3, 3, 2, 3, 0, 1, 2, 0, 4, 4, 3, 1, 3, 4, 2, 3, 0, 3, 3, 4, 3, 2, 0, 2, 0, 3, 2, 4, 1, 2, 0, 2, 3, 4, 4, 3, 2, 4, 2, 3, 3, 2, 0, 1, 3, 0, 1, 0, 4, 3, 1, 0, 4, 1, 4, 3, 3, 1, 0, 4, 0, 2, 2, 3, 0, 4, 0, 0, 4, 3, 3, 2, 0, 3, 0, 0, 1, 4, 4, 2, 0, 0, 4, 3, 2, 4, 3, 2, 4, 3, 4, 3, 0, 3, 2, 3, 0, 2, 1, 2, 0, 2, 4, 4, 2, 1, 0, 3, 2, 1, 2, 1, 4, 0, 4, 3, 2, 4, 2, 4, 2, 2, 4, 4, 0, 0, 0, 4, 1, 0, 3, 3, 3, 2, 2, 1, 4, 0, 0, 2, 1, 0, 2, 4, 4, 4, 4, 2, 1, 1, 0, 2, 4, 2, 3, 3, 2, 1, 1, 3, 3, 1, 4, 3, 4, 1, 2, 1, 3, 4, 4, 0, 2, 4, 4, 0, 3, 1, 0, 3, 1, 3, 0, 4, 1]
pubkeycol399 = [1, 4, 3, 0, 0, 2, 0, 4, 1, 1, 3, 2, 4, 4, 4, 4, 1, 0, 3, 3, 0, 0, 2, 3, 1, 2, 2, 3, 4, 4, 4, 0, 4, 1, 0, 4, 2, 3, 4, 3, 3, 3, 3, 0, 0, 1, 2, 1, 4, 0, 1, 3, 1, 3, 4, 0, 2, 4, 4, 0, 0, 0, 1, 4, 3, 3, 0, 3, 4, 4, 1, 2, 0, 3, 3, 3, 3, 0, 1, 0, 4, 2, 0, 2, 3, 3, 0, 1, 3, 1, 4, 4, 0, 1, 0, 3, 2, 1, 3, 0, 2, 2, 4, 3, 0, 1, 3, 0, 2, 2, 0, 4, 3, 2, 1, 2, 3, 0, 2, 1, 3, 4, 2, 4, 4, 0, 4, 2, 2, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 3, 0, 1, 3, 2, 4, 0, 2, 2, 4, 3, 0, 1, 2, 4, 2, 0, 1, 2, 1, 3, 1, 3, 0, 0, 1, 0, 1, 0, 2, 1, 0, 4, 0, 2, 0, 4, 3, 0, 1, 4, 1, 0, 3, 4, 1, 3, 4, 3, 4, 1, 4, 2, 1, 3, 4, 0, 1, 1, 4, 1, 0, 4, 3, 2, 3, 3, 1, 2, 0, 1, 0, 3, 2, 3, 3, 1, 1, 1, 4, 3, 3, 2, 1, 2, 3, 3, 3, 4, 2, 3, 3, 1, 2, 2, 2, 2, 0, 4, 1, 0, 2, 3, 0, 2, 2, 3, 1, 1, 4, 1, 4, 4, 2, 4, 4, 2, 2, 4, 0, 4, 4, 1, 3, 2, 2, 0, 3, 3, 3, 0, 2, 0, 2, 2, 1, 1, 2, 4, 0, 3, 1, 0, 1, 3, 4, 4, 3, 4, 4, 3, 1, 0, 1, 3, 0, 0, 2, 3, 1, 3, 4, 4, 2, 1, 3, 1, 4, 4, 2, 3, 1, 4, 2, 1, 4, 0, 0, 1, 3]
pubkeycol400 = [0, 4, 3, 1, 4, 3, 1, 0, 1, 3, 1, 2, 3, 4, 1, 0, 0, 0, 4, 2, 4, 4, 0, 4, 1, 2, 2, 2, 0, 3, 3, 2, 2, 3, 1, 4, 0, 0, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 3, 4, 3, 2, 1, 1, 0, 4, 0, 1, 3, 1, 1, 3, 0, 4, 2, 4, 1, 2, 1, 1, 2, 0, 0, 0, 3, 4, 1, 0, 4, 1, 2, 2, 1, 0, 1, 3, 0, 0, 3, 3, 3, 2, 1, 2, 3, 1, 3, 3, 0, 0, 4, 4, 4, 3, 3, 2, 0, 2, 4, 0, 1, 3, 3, 0, 1, 1, 1, 4, 0, 3, 3, 2, 3, 1, 1, 0, 2, 1, 1, 0, 4, 4, 1, 2, 0, 3, 1, 0, 4, 0, 3, 3, 2, 3, 4, 1, 1, 0, 2, 1, 2, 2, 4, 4, 4, 4, 2, 3, 3, 4, 3, 0, 2, 3, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 3, 0, 4, 1, 4, 4, 4, 1, 4, 0, 1, 2, 3, 0, 0, 0, 3, 2, 0, 2, 3, 2, 2, 3, 0, 2, 3, 2, 2, 2, 0, 2, 3, 1, 3, 2, 1, 3, 1, 3, 1, 0, 3, 2, 1, 2, 0, 4, 1, 0, 4, 2, 2, 3, 1, 2, 3, 3, 4, 2, 4, 0, 2, 2, 1, 3, 4, 2, 0, 2, 2, 2, 3, 0, 2, 2, 2, 0, 3, 0, 0, 2, 2, 4, 2, 0, 2, 3, 3, 0, 3, 1, 2, 1, 0, 1, 4, 2, 3, 3, 1, 2, 1, 4, 4, 4, 2, 0, 3, 3, 3, 1, 2, 3, 0, 1, 4, 4, 2, 2, 2, 1, 0, 0, 2, 4, 4, 3, 2, 0, 2, 1, 1, 0, 4, 0, 1, 1, 4, 1, 0, 1, 0, 4, 1, 3]
pubkeycol401 = [4, 4, 0, 4, 0, 4, 3, 3, 4, 2, 2, 2, 1, 4, 0, 2, 3, 4, 4, 1, 3, 0, 1, 1, 1, 1, 3, 1, 0, 1, 1, 2, 4, 2, 3, 3, 1, 3, 2, 4, 2, 2, 3, 0, 4, 0, 0, 1, 1, 4, 4, 3, 2, 0, 0, 0, 2, 3, 2, 2, 4, 0, 2, 4, 3, 3, 1, 0, 1, 1, 2, 3, 1, 4, 4, 4, 2, 3, 1, 4, 1, 4, 3, 1, 4, 2, 4, 3, 2, 3, 2, 3, 3, 4, 1, 1, 1, 2, 3, 3, 2, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 4, 2, 0, 1, 2, 3, 2, 4, 0, 1, 2, 4, 3, 4, 1, 2, 1, 1, 4, 0, 3, 4, 2, 1, 1, 2, 4, 1, 0, 1, 2, 0, 0, 2, 0, 3, 2, 0, 3, 3, 4, 2, 3, 4, 2, 2, 1, 4, 1, 3, 4, 1, 1, 3, 1, 4, 4, 3, 1, 2, 4, 4, 3, 2, 3, 3, 0, 3, 1, 0, 3, 1, 3, 3, 3, 3, 0, 2, 1, 1, 0, 3, 3, 4, 2, 4, 0, 2, 3, 2, 1, 4, 3, 2, 1, 0, 1, 2, 4, 3, 0, 1, 1, 1, 2, 0, 2, 4, 0, 3, 1, 3, 0, 4, 2, 0, 3, 0, 3, 2, 3, 2, 3, 0, 4, 3, 3, 3, 0, 4, 0, 4, 1, 4, 4, 4, 3, 4, 0, 3, 2, 2, 4, 4, 3, 1, 1, 2, 3, 3, 4, 3, 0, 3, 1, 2, 3, 2, 4, 1, 2, 1, 0, 0, 1, 0, 2, 3, 2, 3, 4, 3, 3, 1, 1, 4, 0, 3, 2, 1, 2, 0, 0, 4, 1, 0, 3, 1, 1, 1, 3, 3, 0, 3, 0, 2, 3, 3, 4, 1, 2, 4, 4, 1, 3, 2, 0, 0, 2]
pubkeycol402 = [0, 2, 1, 4, 3, 0, 0, 3, 0, 1, 4, 3, 1, 0, 4, 4, 2, 4, 4, 1, 1, 0, 1, 2, 0, 1, 1, 4, 3, 2, 3, 3, 2, 2, 0, 4, 3, 4, 4, 4, 3, 3, 4, 2, 2, 3, 1, 1, 3, 3, 0, 4, 4, 4, 3, 1, 2, 1, 4, 3, 2, 1, 1, 2, 2, 3, 2, 1, 4, 0, 2, 4, 4, 0, 1, 3, 1, 2, 1, 4, 4, 0, 0, 4, 3, 4, 0, 1, 2, 1, 4, 0, 0, 4, 4, 4, 4, 4, 4, 3, 4, 2, 3, 4, 2, 4, 4, 1, 2, 4, 3, 3, 4, 2, 0, 3, 4, 4, 1, 2, 0, 2, 0, 0, 3, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 4, 2, 4, 1, 1, 3, 4, 4, 0, 2, 2, 0, 4, 2, 0, 3, 1, 1, 2, 2, 4, 1, 3, 1, 3, 1, 2, 1, 2, 3, 1, 1, 1, 0, 4, 4, 4, 1, 2, 0, 3, 1, 2, 4, 2, 2, 1, 2, 1, 3, 3, 3, 2, 1, 0, 2, 4, 4, 1, 0, 1, 3, 1, 1, 1, 1, 3, 2, 3, 1, 2, 2, 3, 2, 0, 0, 2, 4, 4, 1, 0, 0, 1, 1, 0, 1, 0, 3, 4, 2, 2, 4, 0, 2, 0, 4, 1, 4, 2, 3, 2, 1, 1, 2, 0, 3, 2, 3, 3, 4, 1, 0, 1, 0, 0, 3, 2, 2, 3, 1, 1, 1, 3, 0, 1, 2, 1, 0, 3, 2, 3, 1, 4, 0, 2, 2, 0, 4, 1, 1, 4, 4, 3, 1, 4, 3, 1, 4, 3, 1, 2, 3, 1, 0, 1, 1, 3, 3, 2, 4, 4, 4, 3, 1, 3, 4, 3, 1, 4, 0, 4, 4, 2, 1, 4, 4, 1, 0, 4, 3, 2, 3, 4, 4, 1]
pubkeycol403 = [3, 1, 3, 2, 3, 3, 4, 2, 1, 1, 4, 2, 4, 2, 1, 4, 4, 0, 0, 2, 3, 4, 4, 3, 3, 2, 4, 1, 1, 1, 2, 4, 2, 0, 4, 3, 1, 3, 2, 0, 4, 4, 1, 1, 2, 3, 1, 3, 0, 4, 4, 3, 1, 2, 2, 1, 1, 2, 4, 0, 1, 4, 4, 2, 4, 4, 2, 0, 1, 4, 3, 3, 4, 4, 1, 3, 0, 0, 2, 2, 0, 1, 1, 1, 4, 2, 3, 2, 0, 1, 1, 4, 0, 2, 0, 0, 1, 4, 4, 1, 1, 0, 4, 4, 3, 2, 1, 0, 2, 4, 4, 1, 1, 1, 2, 2, 1, 4, 3, 4, 4, 4, 2, 3, 3, 4, 3, 0, 2, 2, 0, 3, 3, 2, 2, 3, 1, 3, 1, 0, 4, 4, 2, 0, 2, 4, 3, 4, 1, 4, 1, 4, 0, 2, 2, 4, 3, 4, 3, 2, 0, 0, 3, 2, 3, 3, 3, 0, 2, 1, 3, 0, 3, 1, 1, 4, 1, 1, 1, 2, 2, 4, 1, 2, 2, 3, 1, 0, 1, 4, 0, 4, 0, 4, 1, 1, 4, 3, 4, 2, 1, 2, 1, 4, 2, 2, 3, 2, 4, 3, 2, 1, 1, 4, 0, 4, 4, 1, 4, 2, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 1, 4, 0, 4, 3, 4, 4, 0, 1, 3, 2, 3, 1, 3, 1, 2, 1, 1, 0, 2, 3, 2, 4, 0, 4, 1, 3, 4, 0, 0, 4, 4, 1, 1, 4, 3, 1, 3, 0, 2, 3, 3, 4, 3, 2, 4, 3, 3, 1, 0, 3, 3, 0, 1, 2, 1, 2, 2, 0, 2, 1, 4, 3, 2, 0, 1, 4, 3, 2, 4, 1, 3, 3, 1, 1, 0, 3, 3, 4, 2, 2, 3, 2, 0, 2, 0, 3, 3]
pubkeycol404 = [4, 3, 3, 0, 3, 3, 4, 1, 3, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 4, 2, 1, 1, 3, 1, 4, 4, 3, 1, 0, 4, 1, 0, 3, 0, 1, 2, 0, 0, 0, 4, 0, 1, 4, 3, 1, 1, 2, 3, 4, 3, 0, 2, 4, 2, 0, 3, 0, 0, 2, 4, 1, 3, 0, 0, 1, 1, 4, 4, 0, 3, 2, 0, 3, 4, 1, 4, 3, 2, 2, 3, 4, 1, 1, 0, 1, 0, 2, 3, 0, 2, 3, 1, 0, 4, 1, 4, 2, 4, 3, 0, 1, 2, 3, 3, 3, 4, 0, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 3, 3, 4, 1, 1, 1, 4, 3, 0, 0, 2, 1, 3, 1, 0, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 4, 4, 3, 4, 4, 2, 4, 3, 0, 0, 4, 4, 3, 2, 0, 4, 0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 3, 4, 1, 0, 3, 0, 4, 3, 3, 4, 0, 2, 1, 2, 0, 3, 1, 3, 4, 3, 4, 4, 2, 2, 4, 2, 3, 4, 3, 3, 2, 0, 3, 3, 3, 4, 0, 4, 4, 4, 2, 1, 0, 0, 0, 3, 1, 4, 2, 3, 0, 1, 2, 2, 0, 3, 3, 2, 2, 4, 0, 0, 3, 3, 3, 0, 4, 1, 0, 1, 4, 2, 2, 0, 1, 1, 3, 2, 2, 1, 4, 2, 2, 4, 1, 0, 4, 2, 4, 4, 1, 0, 2, 2, 3, 4, 1, 3, 4, 0, 1, 4, 4, 4, 1, 2, 0, 1, 1, 2, 2, 2, 3, 1, 4, 0, 2, 3, 0, 2, 4, 3, 0, 1, 4, 2, 0, 0, 4, 0, 0, 0, 3, 2, 2, 2, 1, 4, 0, 4, 2, 3, 4, 2, 3, 1]
pubkeycol405 = [2, 1, 0, 0, 1, 2, 3, 4, 3, 3, 3, 0, 4, 1, 4, 4, 0, 2, 2, 2, 3, 3, 4, 0, 3, 1, 2, 1, 3, 3, 3, 4, 1, 1, 0, 0, 3, 4, 2, 2, 0, 2, 1, 4, 1, 1, 0, 0, 3, 2, 1, 3, 2, 2, 0, 4, 4, 4, 1, 4, 0, 3, 4, 1, 1, 2, 0, 0, 0, 4, 4, 3, 3, 3, 0, 2, 1, 0, 3, 4, 1, 2, 0, 0, 2, 1, 1, 3, 3, 3, 2, 2, 4, 2, 0, 3, 1, 4, 1, 2, 4, 2, 1, 0, 2, 0, 1, 1, 4, 0, 2, 1, 3, 4, 3, 0, 3, 3, 2, 3, 4, 4, 3, 1, 3, 3, 3, 0, 2, 2, 2, 0, 4, 4, 0, 0, 3, 2, 1, 2, 4, 3, 2, 3, 0, 1, 0, 1, 4, 1, 4, 4, 1, 4, 0, 1, 1, 1, 3, 2, 4, 4, 3, 3, 2, 2, 2, 0, 1, 3, 2, 3, 0, 2, 2, 0, 4, 4, 2, 3, 2, 1, 2, 4, 2, 2, 3, 1, 1, 2, 4, 1, 2, 4, 4, 3, 1, 0, 2, 4, 1, 1, 2, 2, 0, 0, 0, 4, 0, 3, 0, 4, 2, 2, 3, 2, 0, 2, 4, 0, 3, 2, 0, 3, 0, 2, 4, 0, 1, 2, 0, 4, 4, 2, 0, 2, 3, 2, 0, 2, 4, 1, 1, 1, 0, 3, 2, 4, 1, 0, 2, 0, 2, 4, 3, 0, 4, 0, 1, 3, 3, 0, 3, 4, 4, 4, 2, 2, 1, 3, 2, 4, 2, 1, 4, 1, 2, 0, 4, 4, 0, 3, 1, 4, 3, 2, 1, 3, 0, 4, 3, 2, 0, 0, 3, 0, 0, 3, 1, 2, 3, 4, 0, 0, 4, 0, 3, 0, 0, 4, 2, 4, 2, 0, 0, 2, 4, 4, 1, 4]
pubkeycol406 = [3, 3, 3, 4, 4, 4, 1, 3, 1, 3, 4, 4, 3, 0, 4, 0, 0, 3, 1, 2, 1, 0, 4, 2, 3, 0, 0, 0, 4, 0, 1, 0, 2, 0, 2, 1, 1, 3, 1, 0, 1, 1, 3, 3, 1, 4, 0, 2, 2, 1, 4, 4, 4, 0, 4, 2, 3, 1, 3, 3, 4, 3, 3, 2, 0, 2, 0, 0, 0, 4, 0, 3, 3, 2, 0, 1, 1, 1, 1, 4, 4, 4, 3, 3, 0, 3, 3, 0, 0, 2, 4, 1, 2, 0, 4, 2, 4, 3, 4, 2, 0, 3, 1, 2, 0, 4, 3, 0, 0, 1, 2, 1, 3, 0, 1, 3, 2, 4, 4, 0, 2, 4, 1, 3, 2, 2, 1, 3, 3, 1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 4, 1, 1, 4, 0, 0, 2, 4, 0, 2, 1, 3, 3, 1, 2, 0, 1, 3, 0, 0, 3, 2, 1, 0, 3, 4, 2, 4, 3, 0, 1, 3, 3, 0, 3, 1, 3, 3, 4, 1, 3, 3, 4, 0, 2, 3, 3, 2, 1, 0, 0, 2, 1, 4, 0, 1, 0, 4, 3, 0, 2, 0, 3, 3, 1, 1, 2, 3, 3, 3, 2, 4, 2, 2, 1, 3, 2, 1, 1, 4, 1, 4, 1, 3, 1, 3, 2, 3, 4, 1, 2, 2, 2, 2, 4, 1, 1, 1, 1, 4, 3, 4, 1, 0, 2, 1, 1, 1, 2, 4, 0, 2, 2, 2, 1, 2, 2, 3, 2, 4, 2, 3, 4, 1, 3, 2, 2, 4, 3, 1, 1, 4, 0, 3, 3, 4, 2, 1, 0, 0, 2, 0, 4, 2, 4, 1, 3, 2, 1, 0, 3, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 4, 2, 0, 3, 3, 3, 0, 3, 0, 2, 4, 3, 2, 4, 0, 4, 0, 3, 1, 3]
pubkeycol407 = [2, 3, 0, 1, 3, 4, 0, 2, 4, 3, 2, 0, 2, 3, 4, 1, 4, 3, 1, 1, 2, 3, 3, 1, 2, 2, 2, 3, 1, 1, 1, 4, 3, 1, 3, 1, 0, 1, 3, 4, 2, 3, 1, 0, 2, 4, 3, 1, 2, 1, 1, 3, 2, 2, 1, 1, 4, 3, 1, 0, 2, 2, 1, 1, 2, 1, 4, 3, 3, 3, 3, 4, 0, 1, 0, 4, 2, 0, 1, 4, 1, 0, 3, 2, 1, 3, 4, 1, 3, 3, 2, 4, 3, 0, 0, 3, 3, 2, 0, 3, 3, 2, 3, 2, 2, 0, 2, 0, 2, 4, 3, 4, 2, 2, 0, 2, 4, 4, 1, 0, 4, 3, 3, 1, 0, 2, 4, 3, 0, 1, 2, 1, 4, 4, 0, 2, 4, 0, 1, 0, 1, 3, 1, 3, 0, 4, 4, 1, 4, 2, 2, 0, 1, 2, 3, 2, 1, 0, 4, 1, 2, 3, 4, 3, 0, 2, 0, 1, 2, 2, 1, 3, 0, 2, 2, 2, 1, 0, 0, 1, 4, 0, 4, 0, 1, 0, 0, 3, 0, 4, 2, 3, 0, 3, 2, 3, 2, 1, 1, 1, 2, 0, 0, 3, 1, 1, 2, 1, 1, 2, 1, 0, 4, 4, 1, 3, 0, 4, 2, 1, 1, 4, 0, 0, 4, 0, 0, 1, 4, 1, 0, 1, 3, 1, 2, 2, 3, 4, 3, 3, 1, 4, 0, 4, 0, 3, 2, 4, 4, 0, 2, 2, 3, 1, 1, 0, 4, 1, 1, 0, 2, 2, 4, 2, 3, 1, 3, 4, 4, 3, 1, 1, 1, 4, 0, 3, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 4, 2, 1, 2, 0, 1, 2, 3, 2, 4, 3, 1, 2, 2, 3, 1, 1, 3, 2, 0, 0, 1, 2, 3, 2, 1, 3, 2, 2, 3, 1]
pubkeycol408 = [3, 3, 2, 2, 2, 4, 2, 3, 0, 4, 3, 2, 4, 2, 1, 2, 1, 4, 0, 1, 0, 0, 2, 3, 3, 0, 1, 0, 3, 3, 2, 2, 0, 0, 4, 0, 0, 2, 0, 1, 3, 1, 2, 4, 2, 0, 1, 4, 3, 4, 3, 0, 2, 2, 4, 2, 1, 4, 1, 1, 3, 1, 4, 1, 1, 4, 1, 1, 0, 1, 3, 3, 2, 3, 1, 3, 2, 1, 4, 1, 4, 1, 4, 2, 0, 4, 2, 1, 1, 2, 4, 0, 3, 2, 2, 2, 2, 0, 1, 4, 1, 1, 3, 2, 2, 1, 4, 3, 3, 3, 3, 2, 0, 3, 1, 3, 2, 4, 2, 3, 0, 1, 1, 1, 4, 4, 2, 2, 4, 3, 1, 0, 2, 0, 4, 3, 2, 2, 1, 3, 1, 3, 2, 4, 3, 1, 2, 3, 0, 3, 2, 1, 2, 1, 4, 0, 0, 2, 4, 0, 2, 3, 0, 2, 3, 1, 2, 2, 2, 4, 2, 2, 3, 2, 0, 3, 3, 0, 3, 4, 4, 1, 1, 1, 4, 2, 1, 2, 1, 3, 1, 2, 4, 3, 4, 1, 1, 4, 3, 0, 0, 2, 3, 0, 1, 4, 2, 2, 1, 3, 3, 4, 2, 3, 3, 0, 4, 0, 2, 2, 3, 2, 0, 2, 4, 2, 3, 0, 2, 3, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 4, 1, 3, 3, 2, 1, 3, 4, 0, 1, 3, 3, 3, 0, 2, 2, 0, 0, 3, 2, 1, 4, 4, 4, 4, 0, 0, 3, 2, 1, 2, 3, 2, 1, 4, 1, 1, 0, 2, 2, 1, 4, 3, 3, 1, 3, 4, 4, 1, 2, 2, 4, 0, 0, 1, 2, 0, 4, 1, 2, 3, 4, 2, 3, 4, 2, 0, 3, 2, 0, 0, 1, 2, 1, 2, 3, 1, 2, 3, 4]
pubkeycol409 = [3, 0, 2, 3, 1, 3, 0, 0, 2, 2, 4, 3, 4, 4, 4, 0, 3, 2, 0, 2, 2, 2, 0, 4, 2, 0, 1, 1, 0, 0, 2, 1, 3, 4, 2, 3, 2, 0, 2, 4, 4, 0, 4, 3, 1, 3, 4, 1, 3, 4, 0, 1, 0, 0, 0, 1, 3, 3, 2, 0, 1, 2, 3, 1, 2, 4, 4, 1, 1, 2, 4, 1, 0, 4, 3, 2, 0, 3, 1, 0, 3, 3, 1, 2, 0, 0, 1, 1, 1, 0, 3, 1, 4, 0, 1, 2, 4, 2, 2, 4, 4, 1, 3, 1, 0, 4, 3, 0, 0, 4, 3, 1, 3, 2, 2, 4, 2, 3, 2, 2, 1, 2, 3, 0, 3, 3, 1, 1, 4, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 3, 0, 4, 4, 4, 3, 3, 4, 4, 4, 2, 0, 2, 2, 3, 2, 0, 0, 1, 0, 0, 0, 0, 3, 4, 3, 3, 3, 2, 2, 0, 1, 0, 2, 3, 3, 2, 4, 3, 2, 3, 0, 1, 3, 0, 0, 0, 0, 1, 2, 3, 1, 0, 1, 2, 0, 3, 4, 3, 4, 4, 1, 3, 0, 3, 2, 2, 2, 2, 1, 4, 4, 3, 2, 4, 1, 3, 4, 1, 0, 3, 2, 3, 1, 4, 2, 4, 4, 1, 2, 4, 0, 0, 4, 2, 2, 3, 3, 3, 4, 1, 2, 1, 4, 1, 3, 1, 1, 0, 1, 1, 0, 2, 3, 1, 3, 3, 3, 4, 3, 4, 0, 0, 2, 2, 0, 2, 4, 3, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 1, 3, 0, 2, 4, 4, 2, 4, 1, 2, 1, 1, 4, 2, 2, 4, 0, 0, 4, 1, 0, 3, 1, 2, 4, 2, 1, 3, 4, 4, 0, 1, 1, 4, 4, 4, 3, 0, 4]
pubkeycol410 = [2, 2, 3, 0, 3, 1, 0, 4, 0, 4, 0, 4, 1, 2, 4, 1, 4, 2, 0, 2, 4, 3, 2, 1, 2, 1, 4, 0, 3, 0, 3, 3, 3, 2, 3, 2, 3, 4, 4, 1, 3, 1, 4, 1, 1, 4, 0, 1, 4, 0, 4, 3, 3, 2, 1, 1, 3, 1, 4, 3, 2, 1, 1, 2, 3, 3, 3, 0, 3, 2, 1, 3, 4, 2, 3, 0, 1, 3, 1, 0, 4, 3, 2, 3, 2, 2, 2, 1, 4, 0, 3, 4, 3, 4, 2, 0, 4, 0, 4, 4, 2, 1, 4, 0, 4, 3, 2, 3, 3, 4, 2, 2, 4, 1, 1, 1, 0, 4, 2, 0, 3, 3, 2, 3, 4, 3, 1, 2, 0, 0, 3, 4, 0, 1, 3, 4, 1, 2, 4, 4, 1, 0, 1, 0, 0, 1, 4, 3, 3, 3, 0, 4, 2, 0, 0, 4, 3, 1, 0, 4, 2, 4, 0, 0, 1, 3, 0, 0, 3, 1, 4, 2, 1, 2, 1, 1, 4, 1, 3, 1, 0, 3, 0, 2, 4, 0, 4, 1, 4, 0, 1, 4, 0, 0, 3, 2, 0, 3, 1, 2, 1, 4, 1, 4, 2, 0, 0, 3, 4, 2, 4, 0, 4, 2, 4, 3, 1, 2, 1, 1, 0, 2, 0, 4, 0, 2, 2, 3, 3, 3, 1, 2, 1, 0, 4, 4, 2, 4, 3, 2, 3, 3, 0, 4, 3, 2, 2, 1, 4, 2, 1, 2, 3, 0, 4, 2, 2, 4, 3, 1, 2, 4, 2, 1, 2, 0, 0, 0, 0, 4, 0, 1, 0, 3, 3, 0, 2, 1, 4, 2, 0, 1, 4, 0, 1, 1, 3, 4, 4, 3, 4, 0, 1, 1, 3, 2, 0, 1, 4, 3, 2, 1, 0, 2, 3, 3, 0, 4, 4, 2, 1, 4, 4, 4, 4, 4, 2, 1, 2, 4]
pubkeycol411 = [3, 0, 0, 3, 1, 0, 4, 2, 0, 1, 3, 3, 0, 0, 2, 0, 2, 4, 1, 2, 1, 3, 3, 2, 4, 0, 1, 1, 1, 2, 3, 4, 0, 1, 4, 2, 1, 1, 2, 4, 2, 0, 3, 4, 2, 0, 4, 2, 4, 3, 0, 3, 2, 3, 0, 3, 1, 3, 4, 0, 2, 3, 2, 3, 4, 0, 2, 3, 1, 2, 3, 3, 1, 4, 4, 2, 0, 1, 4, 4, 2, 4, 2, 3, 3, 3, 0, 4, 2, 1, 1, 3, 1, 0, 3, 1, 0, 4, 2, 0, 3, 0, 0, 3, 3, 1, 2, 2, 2, 2, 4, 1, 4, 3, 2, 4, 4, 4, 3, 4, 0, 4, 2, 0, 4, 3, 4, 4, 3, 1, 2, 3, 4, 1, 1, 4, 2, 3, 1, 1, 2, 4, 4, 2, 1, 2, 3, 4, 0, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 4, 1, 0, 4, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 0, 1, 4, 3, 4, 3, 4, 2, 4, 4, 3, 0, 2, 1, 3, 3, 1, 2, 4, 1, 2, 2, 0, 4, 3, 4, 1, 2, 3, 3, 3, 4, 3, 1, 1, 3, 4, 4, 2, 0, 1, 4, 1, 1, 1, 2, 4, 4, 0, 1, 4, 1, 0, 0, 3, 2, 1, 1, 0, 3, 1, 1, 4, 4, 3, 1, 3, 2, 4, 0, 0, 1, 4, 0, 1, 3, 4, 3, 2, 3, 3, 4, 0, 2, 2, 2, 0, 3, 3, 1, 4, 1, 0, 3, 0, 2, 3, 4, 4, 4, 3, 0, 3, 2, 2, 4, 3, 4, 3, 1, 4, 3, 2, 3, 0, 2, 4, 4, 2, 3, 3, 0, 4, 3, 0, 0, 1, 4, 0, 4, 3, 2, 1, 0, 1, 1, 4, 2, 3, 0, 3, 0, 2, 4, 3, 0]
pubkeycol412 = [3, 1, 2, 1, 2, 2, 3, 4, 1, 1, 3, 2, 3, 0, 4, 4, 1, 0, 2, 2, 0, 3, 4, 0, 1, 3, 0, 2, 1, 3, 4, 0, 2, 2, 1, 0, 0, 4, 4, 4, 3, 0, 1, 0, 2, 4, 0, 2, 3, 2, 3, 4, 2, 1, 3, 2, 0, 3, 1, 4, 4, 1, 2, 4, 0, 1, 4, 2, 1, 0, 0, 1, 1, 3, 4, 4, 3, 3, 0, 1, 4, 3, 2, 1, 3, 3, 1, 3, 1, 0, 1, 3, 0, 2, 0, 2, 1, 1, 3, 3, 0, 2, 2, 1, 0, 2, 4, 0, 3, 3, 1, 4, 3, 1, 1, 2, 4, 4, 4, 0, 4, 1, 4, 0, 0, 3, 1, 3, 4, 0, 3, 0, 2, 2, 2, 4, 0, 4, 4, 1, 3, 0, 1, 2, 1, 4, 1, 0, 0, 0, 2, 1, 2, 2, 3, 1, 4, 1, 3, 3, 2, 1, 3, 2, 1, 4, 2, 0, 0, 4, 0, 1, 2, 3, 0, 0, 1, 4, 3, 4, 2, 3, 0, 0, 3, 4, 0, 1, 1, 0, 2, 4, 1, 0, 4, 3, 1, 0, 4, 2, 3, 1, 4, 1, 0, 1, 4, 1, 0, 4, 3, 2, 1, 2, 4, 0, 0, 1, 2, 3, 4, 2, 2, 4, 2, 3, 2, 1, 1, 0, 3, 1, 1, 0, 3, 4, 1, 0, 3, 0, 3, 3, 4, 1, 4, 2, 2, 0, 0, 4, 4, 3, 3, 1, 0, 0, 1, 1, 1, 0, 0, 3, 4, 1, 0, 4, 4, 3, 2, 3, 3, 1, 0, 1, 0, 3, 1, 3, 0, 1, 1, 1, 2, 3, 4, 0, 2, 4, 2, 0, 3, 1, 4, 3, 0, 4, 3, 1, 0, 4, 1, 4, 3, 0, 0, 3, 2, 4, 4, 3, 0, 2, 1, 4, 0, 4, 0, 4, 2, 0]
pubkeycol413 = [0, 3, 3, 2, 2, 2, 4, 4, 1, 0, 2, 4, 1, 4, 1, 3, 2, 3, 0, 4, 2, 0, 0, 1, 3, 4, 4, 2, 3, 4, 0, 3, 2, 3, 3, 1, 1, 1, 4, 4, 0, 4, 4, 1, 3, 4, 0, 3, 2, 4, 3, 0, 1, 2, 3, 1, 1, 3, 0, 1, 3, 3, 0, 0, 3, 2, 4, 1, 0, 3, 3, 0, 0, 3, 1, 1, 4, 3, 0, 0, 2, 1, 2, 4, 0, 0, 0, 0, 3, 2, 3, 3, 4, 2, 3, 1, 3, 4, 0, 4, 3, 0, 3, 4, 1, 3, 0, 0, 3, 4, 1, 1, 3, 3, 1, 4, 1, 1, 0, 2, 3, 4, 4, 0, 1, 2, 1, 4, 0, 4, 0, 4, 4, 3, 2, 4, 3, 0, 1, 4, 1, 1, 4, 2, 0, 4, 3, 3, 2, 2, 2, 0, 1, 1, 3, 1, 0, 4, 3, 1, 1, 4, 3, 4, 2, 3, 4, 2, 0, 3, 0, 4, 3, 1, 2, 3, 2, 2, 4, 1, 3, 2, 0, 3, 4, 1, 0, 3, 0, 4, 1, 0, 2, 2, 3, 0, 0, 2, 4, 0, 4, 2, 1, 4, 1, 3, 2, 3, 1, 1, 1, 1, 2, 1, 4, 1, 4, 2, 4, 4, 4, 4, 0, 2, 3, 4, 3, 2, 3, 2, 1, 3, 2, 1, 0, 4, 0, 3, 4, 0, 2, 3, 3, 1, 0, 0, 3, 1, 4, 0, 2, 0, 1, 4, 3, 2, 3, 2, 0, 0, 3, 0, 3, 1, 4, 3, 2, 4, 0, 3, 3, 4, 4, 2, 2, 0, 1, 2, 2, 3, 0, 1, 3, 1, 2, 3, 0, 4, 0, 2, 0, 3, 3, 3, 4, 3, 4, 4, 4, 2, 2, 3, 2, 2, 4, 3, 4, 4, 4, 2, 3, 0, 4, 2, 4, 2, 1, 0, 0, 0]
pubkeycol414 = [2, 2, 4, 4, 4, 3, 4, 0, 2, 4, 1, 2, 0, 4, 2, 0, 3, 0, 3, 3, 1, 2, 2, 1, 1, 4, 0, 2, 2, 0, 0, 1, 4, 4, 4, 4, 1, 2, 2, 1, 1, 3, 2, 2, 0, 0, 4, 1, 2, 4, 0, 2, 4, 3, 0, 2, 1, 2, 2, 1, 1, 4, 3, 2, 3, 2, 3, 4, 4, 4, 2, 1, 0, 0, 2, 1, 4, 0, 3, 2, 1, 0, 2, 0, 3, 4, 3, 2, 0, 2, 0, 4, 4, 2, 4, 0, 0, 3, 2, 3, 3, 3, 3, 3, 4, 2, 0, 4, 1, 4, 4, 4, 2, 4, 4, 0, 0, 2, 3, 3, 2, 3, 2, 0, 0, 1, 4, 0, 0, 0, 4, 4, 3, 2, 2, 3, 2, 0, 0, 4, 4, 2, 4, 0, 1, 1, 3, 4, 0, 4, 4, 3, 3, 0, 0, 3, 4, 0, 2, 0, 1, 1, 1, 2, 4, 2, 1, 2, 4, 2, 4, 4, 0, 2, 4, 1, 2, 2, 1, 1, 3, 0, 2, 2, 3, 1, 4, 4, 1, 3, 0, 1, 1, 3, 2, 3, 2, 2, 0, 2, 3, 3, 4, 0, 2, 1, 3, 1, 3, 1, 0, 1, 4, 3, 1, 0, 3, 2, 3, 2, 2, 0, 2, 2, 2, 4, 2, 4, 0, 1, 4, 3, 2, 4, 0, 0, 2, 3, 0, 1, 4, 0, 1, 4, 2, 1, 4, 4, 3, 2, 3, 3, 4, 3, 2, 1, 4, 2, 2, 3, 1, 0, 1, 2, 4, 1, 0, 0, 4, 1, 3, 4, 4, 1, 3, 1, 4, 3, 3, 0, 4, 0, 1, 4, 4, 4, 2, 3, 0, 0, 4, 4, 3, 2, 4, 0, 1, 0, 2, 3, 2, 0, 4, 2, 1, 2, 3, 1, 2, 0, 4, 3, 4, 2, 3, 2, 4, 0, 4, 4]
pubkeycol415 = [3, 2, 1, 1, 4, 4, 0, 2, 2, 4, 2, 4, 3, 1, 0, 1, 3, 3, 2, 0, 4, 1, 3, 1, 1, 1, 2, 3, 3, 1, 0, 0, 2, 3, 2, 2, 4, 1, 4, 0, 2, 3, 3, 2, 0, 0, 2, 0, 4, 0, 3, 4, 0, 3, 4, 3, 4, 0, 2, 4, 3, 4, 1, 0, 0, 1, 0, 1, 4, 3, 3, 1, 3, 0, 4, 1, 0, 0, 2, 4, 1, 0, 0, 4, 1, 4, 0, 2, 0, 1, 3, 0, 0, 2, 4, 0, 4, 2, 0, 0, 2, 1, 2, 4, 0, 4, 1, 1, 2, 1, 2, 0, 4, 1, 1, 4, 0, 3, 1, 4, 3, 1, 2, 4, 4, 4, 0, 0, 2, 3, 3, 4, 2, 1, 1, 4, 3, 3, 0, 3, 3, 3, 4, 1, 4, 1, 3, 3, 2, 0, 0, 2, 3, 2, 1, 0, 2, 3, 4, 0, 3, 3, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 0, 2, 4, 1, 2, 4, 3, 3, 1, 1, 4, 2, 3, 4, 1, 2, 3, 1, 3, 4, 0, 3, 2, 2, 0, 0, 4, 3, 0, 2, 2, 4, 3, 3, 1, 2, 0, 2, 3, 4, 1, 2, 4, 3, 1, 3, 1, 2, 1, 4, 3, 1, 0, 2, 1, 4, 0, 4, 3, 2, 0, 4, 4, 2, 3, 0, 1, 1, 3, 1, 4, 4, 4, 2, 0, 4, 0, 0, 3, 3, 1, 1, 3, 2, 3, 2, 3, 4, 0, 2, 3, 1, 2, 1, 3, 3, 3, 4, 2, 3, 0, 3, 0, 2, 4, 3, 1, 0, 0, 0, 0, 1, 3, 2, 2, 4, 0, 1, 2, 4, 1, 1, 3, 0, 3, 3, 3, 0, 4, 1, 3, 3, 3, 1, 3, 3, 1, 3, 2, 2, 2, 0, 4, 1, 1, 3, 2, 2]
pubkeycol416 = [1, 3, 4, 0, 4, 0, 3, 3, 0, 2, 3, 1, 3, 0, 0, 4, 4, 2, 0, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 3, 1, 3, 1, 3, 2, 2, 2, 2, 3, 2, 3, 3, 4, 0, 1, 4, 0, 4, 0, 3, 2, 1, 3, 2, 3, 3, 1, 4, 4, 4, 3, 4, 2, 0, 0, 3, 4, 3, 2, 1, 4, 0, 3, 1, 2, 0, 4, 0, 1, 4, 3, 3, 1, 3, 4, 4, 2, 2, 4, 3, 4, 3, 0, 4, 3, 3, 4, 4, 1, 3, 4, 1, 0, 0, 0, 0, 1, 3, 0, 3, 2, 0, 2, 3, 1, 3, 2, 3, 1, 4, 4, 3, 0, 4, 4, 0, 3, 2, 1, 0, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 3, 2, 0, 0, 3, 0, 3, 1, 1, 3, 4, 3, 2, 0, 1, 3, 4, 3, 0, 2, 4, 1, 0, 0, 4, 0, 3, 3, 1, 1, 3, 0, 4, 2, 3, 2, 3, 4, 4, 0, 3, 2, 0, 3, 2, 1, 2, 3, 2, 4, 2, 2, 3, 0, 4, 2, 4, 0, 4, 0, 0, 0, 2, 3, 1, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 4, 1, 2, 1, 4, 4, 4, 0, 3, 2, 0, 4, 1, 3, 1, 3, 2, 4, 0, 3, 1, 4, 2, 4, 0, 4, 0, 4, 4, 0, 0, 0, 1, 3, 3, 1, 4, 0, 1, 0, 4, 2, 3, 1, 0, 3, 0, 3, 0, 3, 4, 4, 0, 3, 4, 3, 0, 2, 3, 1, 0, 1, 2, 4, 2, 2, 1, 3, 3, 2, 2, 3, 1, 3, 0, 4, 2, 3, 0, 1, 3, 4, 4, 1, 1, 2, 4, 3, 1, 3, 4, 2, 1, 3, 3, 1, 3, 4, 3, 1, 2, 0, 2, 2, 0]
pubkeycol417 = [0, 3, 4, 4, 2, 3, 4, 0, 3, 3, 1, 2, 2, 0, 1, 3, 1, 1, 0, 0, 2, 4, 3, 1, 3, 2, 0, 4, 2, 1, 2, 1, 4, 2, 3, 4, 4, 1, 0, 3, 1, 2, 1, 0, 1, 4, 4, 1, 4, 4, 4, 2, 0, 1, 1, 4, 3, 0, 3, 2, 4, 3, 2, 2, 2, 4, 1, 1, 0, 4, 3, 1, 4, 3, 4, 0, 2, 3, 4, 1, 2, 2, 4, 4, 1, 0, 1, 0, 1, 3, 2, 1, 3, 0, 3, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 3, 2, 0, 1, 3, 2, 1, 2, 1, 2, 4, 3, 2, 3, 2, 4, 2, 2, 0, 4, 0, 3, 4, 1, 4, 1, 4, 1, 1, 2, 3, 3, 2, 1, 4, 2, 3, 0, 2, 1, 0, 0, 0, 4, 0, 1, 1, 0, 3, 1, 2, 0, 2, 4, 4, 2, 2, 1, 1, 3, 3, 2, 2, 3, 4, 4, 1, 0, 3, 3, 3, 2, 1, 1, 2, 1, 3, 3, 0, 1, 1, 2, 0, 4, 2, 2, 3, 4, 0, 2, 1, 3, 1, 3, 0, 4, 4, 0, 3, 3, 3, 3, 2, 3, 1, 2, 0, 2, 0, 3, 3, 3, 0, 1, 3, 1, 2, 2, 3, 1, 4, 1, 2, 2, 3, 2, 0, 3, 3, 3, 2, 2, 3, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 2, 4, 0, 2, 1, 2, 2, 0, 4, 1, 1, 4, 0, 1, 4, 2, 3, 0, 2, 3, 3, 4, 0, 1, 1, 2, 2, 4, 4, 4, 1, 4, 2, 4, 2, 0, 3, 4, 4, 4, 4, 4, 4, 1, 1, 4, 1, 1, 0, 4, 0, 0, 4, 4, 2, 2, 1, 2, 3, 2, 2, 2, 0, 3, 1, 1, 3, 4, 4, 0, 1, 2]
pubkeycol418 = [4, 0, 0, 1, 1, 1, 4, 1, 4, 2, 4, 4, 4, 4, 2, 1, 2, 0, 3, 2, 2, 3, 4, 3, 1, 3, 4, 1, 4, 4, 1, 2, 3, 0, 1, 0, 4, 0, 3, 0, 2, 1, 3, 1, 3, 4, 4, 1, 3, 2, 4, 3, 3, 4, 2, 2, 1, 4, 0, 1, 3, 4, 2, 3, 2, 0, 1, 0, 0, 1, 3, 2, 3, 0, 0, 1, 0, 4, 4, 4, 3, 3, 4, 0, 1, 3, 2, 4, 2, 2, 0, 2, 3, 3, 0, 4, 2, 1, 0, 0, 4, 4, 0, 4, 0, 3, 1, 2, 4, 3, 0, 4, 0, 3, 3, 3, 0, 3, 1, 4, 2, 2, 1, 2, 1, 3, 2, 3, 2, 4, 0, 4, 4, 0, 4, 0, 1, 4, 4, 3, 3, 3, 1, 3, 1, 1, 3, 3, 0, 2, 1, 2, 0, 1, 4, 2, 3, 1, 0, 3, 3, 4, 4, 2, 1, 1, 2, 2, 0, 4, 2, 1, 0, 0, 2, 0, 4, 2, 0, 0, 0, 4, 4, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 4, 1, 4, 3, 2, 4, 0, 3, 4, 0, 1, 0, 4, 4, 1, 2, 4, 2, 2, 4, 1, 2, 4, 1, 4, 1, 1, 3, 2, 0, 2, 4, 4, 0, 4, 2, 4, 1, 3, 1, 4, 2, 0, 4, 3, 1, 0, 4, 1, 0, 0, 1, 0, 3, 1, 2, 3, 1, 0, 0, 1, 1, 1, 4, 3, 4, 3, 4, 4, 3, 4, 1, 0, 3, 2, 0, 0, 0, 0, 3, 3, 4, 3, 3, 0, 1, 1, 2, 4, 2, 1, 1, 2, 1, 1, 4, 3, 1, 1, 0, 2, 1, 4, 3, 2, 2, 1, 2, 1, 0, 2, 4, 2, 0, 0, 1, 0, 1, 2, 3, 1, 2, 3, 3, 3, 1, 2]
pubkeycol419 = [2, 2, 0, 3, 0, 2, 1, 0, 1, 0, 4, 2, 2, 0, 3, 2, 1, 3, 3, 3, 0, 2, 4, 3, 0, 2, 1, 2, 2, 4, 1, 0, 4, 0, 0, 0, 2, 2, 4, 2, 0, 0, 0, 3, 3, 4, 0, 0, 0, 1, 4, 0, 3, 4, 2, 1, 1, 1, 1, 3, 3, 0, 3, 3, 1, 4, 4, 4, 1, 3, 1, 4, 1, 4, 3, 0, 4, 2, 1, 3, 1, 4, 3, 3, 2, 3, 0, 3, 1, 0, 0, 0, 1, 0, 2, 4, 1, 3, 1, 0, 3, 0, 2, 1, 1, 2, 4, 2, 0, 1, 4, 2, 4, 2, 2, 3, 3, 1, 4, 1, 0, 2, 0, 0, 2, 2, 2, 4, 0, 0, 3, 4, 2, 2, 0, 1, 0, 4, 4, 3, 0, 1, 4, 0, 0, 0, 2, 4, 2, 1, 3, 3, 4, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 1, 3, 1, 1, 3, 3, 3, 1, 4, 1, 0, 2, 3, 3, 3, 2, 2, 4, 2, 4, 4, 0, 0, 4, 4, 2, 0, 2, 2, 3, 3, 4, 3, 3, 1, 4, 1, 2, 3, 0, 1, 3, 4, 1, 3, 3, 0, 1, 4, 2, 0, 0, 3, 2, 2, 1, 0, 0, 0, 0, 3, 1, 4, 4, 0, 3, 1, 4, 0, 3, 4, 2, 2, 2, 4, 0, 0, 4, 2, 4, 2, 3, 2, 1, 2, 4, 0, 0, 4, 0, 0, 1, 1, 0, 2, 3, 0, 1, 0, 3, 1, 0, 1, 3, 3, 1, 0, 1, 2, 4, 4, 4, 2, 1, 4, 0, 1, 2, 4, 0, 4, 1, 1, 2, 1, 2, 4, 4, 1, 2, 4, 4, 2, 2, 4, 0, 2, 2, 0, 0, 3, 4, 2, 4, 3, 2, 2, 3, 1, 0, 4, 4, 3, 3, 3, 4, 2]
pubkeycol420 = [4, 2, 0, 0, 0, 4, 1, 4, 0, 2, 2, 4, 1, 1, 4, 0, 3, 2, 4, 1, 0, 3, 4, 2, 3, 3, 2, 2, 0, 0, 4, 3, 4, 1, 3, 3, 4, 2, 0, 0, 3, 3, 1, 2, 1, 3, 1, 1, 4, 2, 1, 0, 4, 1, 4, 3, 2, 4, 2, 1, 3, 4, 4, 4, 2, 2, 1, 2, 1, 2, 0, 4, 2, 2, 2, 4, 4, 0, 0, 2, 3, 4, 3, 3, 3, 1, 2, 1, 4, 0, 2, 4, 2, 1, 3, 4, 0, 2, 2, 0, 3, 3, 0, 1, 4, 3, 0, 0, 4, 0, 2, 3, 4, 4, 0, 1, 4, 4, 2, 4, 3, 1, 2, 4, 3, 1, 3, 1, 4, 0, 4, 0, 2, 3, 1, 2, 4, 0, 4, 3, 0, 1, 4, 1, 2, 2, 3, 2, 2, 1, 2, 1, 2, 4, 2, 4, 1, 1, 1, 0, 2, 0, 3, 2, 2, 2, 0, 3, 2, 4, 0, 2, 1, 3, 2, 3, 1, 1, 1, 0, 4, 1, 4, 0, 1, 0, 4, 3, 4, 4, 2, 0, 1, 4, 3, 1, 1, 2, 4, 0, 2, 3, 4, 0, 1, 2, 3, 2, 4, 2, 3, 4, 2, 1, 2, 0, 0, 0, 1, 4, 4, 1, 4, 4, 4, 4, 4, 1, 2, 3, 2, 1, 2, 1, 2, 1, 2, 3, 0, 0, 3, 4, 0, 1, 4, 1, 2, 2, 0, 1, 2, 4, 1, 4, 1, 3, 3, 1, 0, 3, 3, 0, 3, 4, 3, 1, 3, 1, 2, 2, 4, 1, 4, 0, 3, 0, 1, 2, 4, 4, 1, 3, 2, 3, 3, 0, 0, 2, 2, 0, 4, 1, 3, 2, 2, 1, 1, 2, 3, 1, 0, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 0, 2, 0, 1, 2, 1, 4, 1, 0]
pubkeycol421 = [3, 0, 2, 1, 4, 0, 1, 0, 3, 4, 1, 1, 2, 2, 4, 2, 3, 3, 0, 4, 3, 4, 0, 1, 0, 3, 0, 2, 2, 0, 0, 1, 0, 2, 2, 4, 1, 3, 2, 2, 0, 1, 4, 2, 1, 0, 1, 3, 2, 4, 0, 4, 2, 2, 3, 4, 1, 1, 4, 4, 4, 1, 2, 1, 3, 1, 0, 4, 4, 3, 3, 0, 0, 0, 0, 2, 0, 3, 2, 3, 3, 4, 4, 3, 3, 3, 1, 1, 4, 0, 3, 0, 1, 1, 4, 4, 2, 3, 0, 0, 0, 1, 2, 2, 4, 4, 3, 0, 0, 4, 2, 0, 2, 2, 2, 4, 0, 4, 1, 3, 4, 3, 0, 3, 2, 4, 0, 0, 2, 1, 4, 2, 0, 4, 2, 2, 3, 0, 2, 2, 0, 1, 0, 4, 0, 4, 1, 3, 3, 4, 1, 4, 3, 3, 0, 2, 3, 3, 3, 3, 4, 0, 1, 3, 4, 1, 1, 0, 2, 2, 4, 4, 3, 2, 1, 4, 1, 4, 2, 3, 1, 0, 3, 0, 0, 1, 0, 3, 4, 2, 2, 3, 4, 0, 3, 0, 3, 1, 0, 3, 2, 1, 1, 1, 4, 1, 4, 2, 0, 2, 2, 0, 3, 0, 4, 0, 1, 0, 4, 0, 0, 0, 4, 0, 0, 3, 1, 4, 2, 2, 2, 0, 1, 1, 2, 4, 4, 4, 0, 1, 0, 4, 4, 3, 1, 1, 1, 3, 0, 0, 0, 3, 3, 0, 2, 0, 2, 2, 0, 3, 4, 4, 3, 1, 1, 0, 3, 3, 4, 4, 2, 0, 3, 0, 2, 3, 3, 1, 3, 2, 4, 4, 1, 4, 2, 4, 1, 1, 2, 1, 1, 0, 3, 3, 3, 1, 2, 1, 1, 3, 2, 2, 0, 2, 1, 2, 4, 3, 1, 4, 0, 4, 3, 2, 0, 0, 3, 4, 4, 0]
pubkeycol422 = [2, 1, 3, 2, 1, 1, 1, 4, 0, 3, 4, 4, 1, 3, 3, 4, 4, 2, 3, 2, 3, 1, 3, 4, 2, 0, 3, 2, 0, 4, 3, 3, 0, 2, 2, 0, 0, 2, 1, 3, 2, 3, 2, 4, 3, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 4, 1, 2, 1, 2, 4, 4, 3, 4, 3, 0, 2, 1, 4, 0, 1, 1, 1, 2, 2, 2, 3, 0, 4, 2, 0, 3, 4, 3, 3, 3, 2, 4, 1, 1, 2, 0, 3, 3, 2, 4, 2, 3, 0, 1, 1, 3, 3, 1, 2, 1, 3, 2, 2, 0, 2, 4, 0, 0, 2, 1, 0, 0, 2, 2, 3, 0, 4, 1, 0, 0, 1, 4, 3, 1, 1, 0, 0, 1, 4, 3, 4, 2, 3, 2, 3, 1, 4, 0, 0, 2, 1, 0, 4, 0, 1, 0, 1, 4, 2, 0, 4, 2, 2, 0, 2, 4, 4, 3, 1, 3, 4, 1, 3, 0, 1, 3, 4, 3, 0, 3, 2, 2, 1, 0, 4, 4, 2, 3, 1, 0, 2, 4, 3, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 0, 2, 1, 3, 4, 3, 0, 1, 3, 1, 0, 2, 4, 3, 0, 4, 0, 0, 0, 1, 4, 3, 0, 3, 3, 4, 1, 1, 2, 0, 1, 3, 2, 2, 4, 2, 1, 1, 4, 0, 1, 3, 3, 2, 2, 1, 3, 4, 3, 4, 2, 1, 2, 0, 0, 2, 4, 3, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 3, 2, 4, 4, 4, 2, 0, 1, 3, 1, 1, 4, 1, 2, 3, 3, 3, 1, 3, 1, 0, 4, 4, 0, 4, 0, 3, 4, 1, 3, 1, 0, 3, 2, 1, 2, 4, 2, 4, 4, 3, 3, 2, 0, 0, 0, 4, 2, 3]
pubkeycol423 = [1, 1, 4, 1, 2, 3, 0, 4, 2, 2, 3, 0, 3, 4, 2, 4, 4, 0, 1, 4, 1, 3, 2, 3, 0, 3, 3, 0, 4, 0, 1, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 4, 2, 4, 4, 3, 1, 2, 0, 3, 2, 1, 1, 4, 2, 0, 3, 3, 1, 4, 2, 3, 2, 3, 0, 1, 1, 3, 0, 1, 4, 0, 0, 4, 0, 1, 2, 3, 3, 1, 0, 0, 3, 2, 4, 4, 0, 2, 3, 2, 2, 2, 0, 4, 3, 2, 0, 3, 1, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 2, 3, 4, 3, 3, 4, 3, 1, 0, 1, 3, 1, 1, 1, 2, 0, 1, 3, 0, 2, 1, 3, 0, 3, 1, 3, 4, 3, 4, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 3, 4, 2, 2, 2, 1, 3, 0, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 0, 0, 1, 2, 4, 2, 4, 3, 1, 4, 4, 2, 3, 1, 1, 1, 0, 4, 2, 2, 3, 0, 0, 1, 2, 4, 1, 0, 4, 1, 2, 4, 3, 3, 1, 0, 2, 1, 0, 2, 3, 4, 4, 0, 3, 0, 3, 3, 3, 1, 4, 2, 2, 4, 0, 2, 2, 1, 0, 1, 4, 2, 2, 3, 1, 0, 0, 1, 0, 1, 3, 0, 1, 0, 2, 0, 3, 0, 4, 3, 2, 4, 0, 0, 3, 1, 1, 4, 4, 0, 4, 1, 4, 4, 4, 2, 2, 0, 0, 4, 3, 1, 3, 1, 1, 2, 0, 4, 3, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 4, 0, 2, 2, 4, 3, 4, 1, 3, 0, 2, 4, 2, 4, 2, 4, 3, 0, 1, 1, 1, 1, 4, 2, 3, 0, 0, 3, 3, 0, 1, 4, 1]
pubkeycol424 = [0, 4, 3, 2, 0, 0, 3, 0, 1, 3, 0, 4, 4, 4, 2, 0, 4, 2, 0, 2, 1, 0, 0, 1, 0, 3, 3, 2, 1, 0, 3, 3, 4, 3, 1, 1, 1, 0, 4, 1, 3, 4, 4, 2, 4, 4, 1, 3, 3, 3, 3, 1, 4, 0, 0, 2, 0, 0, 2, 4, 2, 1, 4, 4, 1, 3, 3, 1, 0, 0, 4, 0, 0, 3, 1, 4, 4, 2, 4, 0, 2, 1, 0, 2, 4, 3, 2, 0, 0, 4, 3, 2, 0, 0, 3, 3, 2, 3, 3, 1, 3, 2, 3, 1, 3, 3, 0, 1, 2, 4, 1, 4, 3, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 4, 0, 4, 0, 3, 3, 4, 3, 3, 0, 0, 2, 4, 0, 3, 0, 2, 2, 3, 1, 3, 2, 2, 0, 1, 3, 2, 3, 1, 3, 1, 3, 1, 0, 0, 1, 2, 3, 2, 4, 0, 1, 3, 1, 4, 0, 4, 3, 2, 0, 4, 4, 3, 2, 2, 0, 4, 4, 4, 1, 2, 3, 2, 2, 3, 1, 4, 3, 0, 1, 1, 3, 1, 2, 2, 4, 1, 4, 2, 1, 0, 4, 3, 3, 0, 0, 0, 0, 0, 3, 1, 2, 0, 3, 0, 3, 1, 1, 2, 0, 4, 4, 0, 2, 1, 3, 2, 4, 1, 2, 4, 1, 2, 2, 3, 0, 2, 4, 2, 1, 0, 1, 3, 2, 3, 2, 3, 4, 4, 4, 3, 1, 0, 2, 2, 3, 1, 3, 3, 1, 2, 0, 0, 4, 0, 4, 2, 0, 3, 4, 1, 2, 1, 4, 1, 3, 1, 3, 2, 1, 4, 0, 2, 2, 1, 4, 1, 0, 4, 4, 1, 2, 0, 1, 2, 3, 3, 3, 2, 3, 0, 0, 2, 4, 4, 1, 3, 1, 4, 0, 0, 0, 4, 4, 4, 1]
pubkeycol425 = [2, 4, 4, 1, 3, 1, 0, 1, 0, 4, 0, 0, 3, 2, 0, 3, 1, 2, 1, 2, 1, 0, 1, 2, 3, 3, 3, 3, 4, 1, 0, 4, 2, 3, 1, 2, 4, 0, 2, 4, 2, 3, 3, 0, 3, 1, 0, 0, 0, 0, 3, 0, 0, 0, 4, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 4, 2, 0, 2, 3, 2, 0, 4, 4, 2, 0, 3, 2, 1, 4, 4, 0, 4, 0, 4, 4, 1, 1, 1, 3, 0, 4, 0, 4, 2, 4, 1, 1, 4, 3, 2, 2, 2, 4, 3, 1, 3, 2, 2, 3, 3, 4, 1, 2, 3, 0, 3, 2, 3, 3, 1, 0, 2, 3, 2, 2, 3, 2, 0, 1, 1, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 3, 1, 0, 2, 3, 2, 3, 3, 3, 3, 4, 1, 0, 2, 0, 0, 1, 4, 1, 4, 2, 3, 4, 0, 3, 3, 2, 2, 3, 2, 0, 1, 3, 2, 2, 2, 1, 1, 3, 1, 4, 0, 0, 3, 1, 2, 3, 0, 0, 2, 2, 2, 1, 3, 0, 4, 0, 1, 1, 2, 0, 2, 2, 2, 0, 3, 2, 2, 1, 2, 0, 1, 4, 3, 0, 1, 0, 4, 4, 1, 0, 3, 4, 0, 0, 2, 1, 0, 1, 1, 3, 2, 2, 2, 0, 2, 3, 1, 4, 4, 0, 0, 4, 2, 3, 0, 1, 1, 2, 2, 0, 0, 3, 3, 3, 1, 2, 0, 4, 4, 3, 0, 2, 4, 1, 0, 4, 0, 1, 2, 1, 2, 2, 3, 0, 3, 1, 3, 1, 2, 4, 2, 2, 4, 3, 3, 2, 1, 1, 4, 4, 1, 2, 2, 2, 1, 1, 0, 0, 4, 3, 4, 0, 3, 3, 0, 4, 4, 2, 2, 4, 0, 3, 2, 1, 2, 1, 0, 3]
pubkeycol426 = [0, 2, 1, 1, 0, 4, 0, 4, 0, 3, 0, 0, 0, 4, 1, 4, 4, 0, 2, 3, 3, 1, 3, 3, 0, 4, 4, 2, 3, 4, 4, 2, 1, 3, 4, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 4, 0, 2, 4, 1, 4, 1, 4, 4, 2, 0, 3, 2, 0, 0, 2, 3, 3, 2, 2, 2, 0, 3, 1, 1, 4, 2, 1, 3, 0, 3, 4, 1, 2, 2, 1, 0, 1, 4, 3, 1, 3, 3, 4, 2, 2, 1, 3, 4, 0, 4, 4, 4, 2, 0, 0, 4, 0, 2, 4, 1, 0, 0, 2, 1, 2, 4, 1, 0, 2, 4, 0, 0, 3, 3, 3, 2, 0, 0, 4, 0, 3, 3, 2, 3, 3, 1, 2, 0, 3, 4, 0, 3, 2, 3, 1, 3, 3, 2, 1, 2, 1, 2, 1, 3, 4, 4, 1, 0, 2, 3, 3, 4, 2, 4, 2, 4, 1, 1, 4, 3, 3, 1, 4, 2, 3, 1, 3, 2, 2, 2, 3, 0, 1, 0, 3, 4, 0, 2, 4, 1, 1, 2, 4, 1, 3, 2, 4, 0, 1, 2, 4, 3, 1, 2, 2, 2, 0, 3, 4, 3, 1, 2, 2, 2, 1, 4, 4, 0, 1, 1, 3, 2, 0, 0, 3, 4, 4, 2, 3, 3, 0, 1, 0, 0, 2, 4, 0, 3, 0, 3, 4, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 4, 1, 2, 1, 4, 2, 1, 4, 4, 3, 2, 3, 3, 0, 3, 4, 1, 4, 3, 0, 4, 2, 0, 3, 1, 0, 3, 2, 3, 4, 3, 3, 2, 3, 4, 2, 1, 0, 4, 1, 2, 2, 0, 1, 0, 0, 1, 3, 0, 0, 3, 0, 3, 4, 1, 2, 3, 0, 4, 2, 1, 4, 4, 4, 0, 0, 3, 4, 2, 2, 2, 4]
pubkeycol427 = [1, 1, 1, 0, 3, 3, 1, 2, 1, 2, 3, 1, 3, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 3, 1, 3, 4, 2, 2, 1, 4, 3, 0, 4, 0, 1, 4, 4, 1, 1, 0, 1, 0, 1, 2, 4, 2, 0, 3, 2, 4, 4, 1, 4, 3, 4, 4, 4, 3, 2, 0, 4, 3, 1, 3, 0, 2, 2, 4, 3, 0, 4, 0, 4, 4, 1, 2, 3, 3, 4, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 4, 1, 4, 2, 2, 2, 1, 2, 3, 0, 0, 1, 4, 4, 3, 4, 0, 1, 1, 3, 1, 0, 0, 3, 4, 1, 1, 3, 3, 2, 2, 1, 1, 4, 4, 4, 1, 0, 2, 1, 4, 2, 2, 1, 1, 1, 4, 1, 4, 1, 0, 4, 2, 4, 2, 4, 2, 3, 1, 2, 4, 4, 3, 2, 3, 2, 2, 0, 4, 1, 2, 3, 2, 1, 1, 4, 2, 2, 0, 0, 2, 4, 4, 1, 0, 1, 4, 2, 4, 4, 3, 1, 1, 3, 3, 3, 4, 0, 0, 4, 1, 3, 3, 2, 4, 3, 0, 3, 2, 2, 3, 4, 3, 1, 2, 2, 3, 1, 0, 4, 0, 1, 3, 1, 3, 3, 2, 2, 1, 4, 2, 1, 4, 3, 3, 1, 3, 1, 4, 4, 1, 0, 4, 3, 2, 2, 3, 3, 0, 2, 4, 2, 2, 4, 2, 1, 4, 1, 4, 2, 1, 3, 3, 2, 3, 0, 0, 1, 0, 2, 3, 3, 3, 2, 2, 0, 3, 2, 3, 1, 2, 2, 3, 2, 0, 3, 2, 3, 4, 2, 4, 2, 3, 0, 3, 3, 0, 1, 4, 1, 0, 4, 0, 1, 2, 3, 2, 4, 0, 2, 2, 4, 4, 2, 3, 3, 1, 4, 1, 4, 1, 1, 0, 1, 1, 2]
pubkeycol428 = [1, 0, 0, 3, 3, 2, 2, 0, 2, 3, 2, 0, 4, 0, 0, 0, 0, 4, 2, 0, 2, 0, 4, 4, 4, 3, 0, 4, 0, 3, 2, 2, 0, 4, 1, 3, 2, 0, 1, 1, 0, 0, 0, 3, 2, 0, 4, 3, 3, 1, 2, 0, 4, 2, 3, 3, 0, 0, 0, 2, 3, 1, 2, 0, 2, 1, 2, 3, 0, 3, 0, 4, 0, 0, 1, 3, 0, 3, 0, 2, 2, 3, 4, 2, 0, 0, 0, 1, 3, 1, 0, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 4, 2, 0, 4, 0, 3, 4, 4, 3, 1, 1, 3, 0, 3, 2, 4, 4, 2, 1, 4, 2, 2, 1, 2, 2, 0, 1, 4, 2, 3, 1, 2, 4, 0, 4, 1, 0, 4, 1, 3, 1, 2, 2, 2, 0, 4, 0, 4, 0, 0, 1, 2, 2, 3, 2, 0, 4, 1, 4, 1, 2, 0, 3, 2, 3, 4, 0, 4, 3, 0, 1, 3, 3, 1, 2, 3, 3, 2, 3, 0, 3, 4, 2, 2, 3, 4, 0, 0, 3, 2, 2, 4, 0, 3, 0, 2, 2, 1, 0, 4, 3, 3, 4, 3, 4, 4, 0, 0, 4, 4, 0, 1, 3, 2, 2, 0, 1, 4, 4, 4, 4, 4, 0, 2, 0, 1, 3, 3, 2, 3, 2, 3, 0, 0, 0, 1, 1, 4, 1, 3, 1, 1, 2, 0, 3, 2, 4, 3, 1, 2, 4, 1, 1, 4, 1, 1, 4, 4, 0, 4, 3, 4, 0, 4, 0, 2, 2, 3, 0, 3, 4, 4, 4, 4, 4, 0, 2, 2, 4, 0, 0, 2, 3, 0, 3, 4, 3, 2, 3, 4, 3, 2, 1, 1, 4, 0, 4, 3, 1, 3, 4, 3, 3, 3, 3, 4, 3, 1, 1, 1, 2, 4, 0, 2, 3]
pubkeycol429 = [3, 2, 0, 1, 1, 4, 2, 4, 1, 2, 4, 3, 3, 4, 0, 1, 4, 0, 2, 3, 0, 0, 3, 2, 0, 1, 0, 3, 3, 3, 3, 1, 2, 0, 4, 3, 4, 1, 2, 1, 1, 4, 2, 0, 3, 2, 4, 3, 4, 1, 1, 0, 2, 4, 2, 2, 0, 1, 1, 0, 2, 1, 4, 4, 0, 4, 1, 2, 3, 2, 0, 1, 1, 2, 1, 0, 3, 2, 4, 1, 4, 2, 2, 2, 4, 4, 0, 3, 3, 2, 1, 2, 3, 0, 2, 4, 3, 0, 2, 2, 3, 1, 2, 1, 3, 4, 2, 2, 0, 2, 4, 1, 3, 1, 0, 0, 2, 0, 2, 0, 3, 2, 3, 4, 2, 4, 0, 3, 1, 2, 1, 3, 1, 2, 1, 4, 4, 3, 3, 4, 1, 2, 0, 2, 2, 0, 1, 2, 0, 3, 0, 4, 1, 4, 2, 3, 1, 2, 1, 1, 3, 0, 3, 4, 3, 4, 1, 4, 2, 2, 1, 4, 2, 4, 4, 0, 0, 1, 2, 0, 1, 1, 3, 1, 1, 4, 1, 2, 2, 1, 3, 0, 3, 2, 1, 3, 3, 1, 2, 3, 4, 2, 2, 3, 4, 2, 0, 3, 1, 3, 0, 2, 0, 2, 2, 1, 2, 3, 1, 0, 2, 2, 4, 2, 1, 2, 1, 4, 2, 1, 0, 0, 4, 0, 2, 2, 0, 3, 3, 0, 4, 1, 2, 0, 0, 3, 1, 3, 4, 2, 3, 0, 3, 1, 3, 0, 3, 2, 1, 0, 1, 4, 1, 3, 2, 2, 2, 0, 2, 4, 2, 3, 2, 4, 2, 4, 1, 4, 4, 3, 2, 0, 2, 3, 1, 4, 2, 2, 0, 4, 0, 1, 2, 3, 1, 0, 4, 1, 4, 1, 0, 1, 3, 1, 1, 4, 3, 2, 3, 3, 0, 3, 4, 1, 4, 0, 2, 1, 3, 4]
pubkeycol430 = [3, 1, 3, 2, 3, 3, 3, 4, 4, 1, 2, 0, 3, 0, 4, 4, 2, 0, 3, 4, 3, 3, 2, 3, 2, 3, 4, 2, 0, 1, 4, 3, 0, 2, 3, 2, 0, 4, 4, 1, 3, 1, 4, 2, 0, 2, 4, 0, 4, 1, 4, 1, 0, 4, 3, 1, 2, 3, 3, 4, 0, 1, 2, 4, 2, 1, 3, 0, 3, 0, 0, 4, 3, 0, 0, 4, 2, 1, 0, 1, 0, 4, 3, 2, 0, 4, 4, 3, 0, 4, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 3, 1, 0, 4, 1, 3, 0, 2, 2, 2, 0, 1, 3, 1, 0, 0, 1, 1, 0, 3, 1, 0, 2, 3, 2, 1, 2, 2, 0, 3, 3, 0, 2, 0, 1, 3, 1, 0, 3, 2, 0, 2, 2, 4, 2, 3, 3, 0, 4, 0, 2, 2, 2, 1, 4, 1, 4, 0, 2, 1, 2, 2, 4, 0, 0, 4, 1, 0, 2, 0, 4, 2, 1, 4, 3, 2, 1, 3, 1, 3, 1, 2, 2, 4, 4, 2, 3, 2, 0, 0, 0, 3, 4, 1, 0, 2, 2, 3, 0, 3, 3, 4, 1, 0, 4, 4, 0, 3, 1, 1, 0, 1, 4, 4, 0, 0, 3, 3, 0, 1, 3, 4, 3, 3, 3, 1, 4, 1, 4, 2, 1, 4, 1, 3, 2, 0, 4, 4, 1, 1, 3, 2, 1, 2, 2, 1, 3, 3, 1, 0, 4, 1, 0, 1, 1, 4, 4, 3, 0, 1, 4, 3, 3, 2, 2, 3, 3, 1, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 1, 1, 4, 2, 2, 1, 3, 0, 3, 1, 4, 3, 0, 4, 3, 3, 2, 3, 2, 4, 3, 3, 4, 0, 4, 1, 0, 4, 0, 4, 3, 4, 2, 3, 3, 0, 1, 2]
pubkeycol431 = [4, 3, 3, 2, 0, 2, 0, 1, 3, 3, 3, 2, 1, 4, 1, 4, 2, 4, 4, 1, 4, 2, 3, 3, 0, 0, 4, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 4, 4, 2, 1, 0, 3, 4, 1, 2, 1, 1, 3, 2, 3, 0, 1, 3, 0, 4, 3, 0, 4, 4, 4, 3, 4, 4, 0, 4, 2, 3, 4, 4, 1, 3, 0, 0, 0, 2, 0, 4, 4, 1, 3, 2, 2, 2, 2, 0, 0, 2, 1, 3, 4, 2, 1, 3, 2, 4, 3, 3, 3, 2, 1, 2, 3, 4, 4, 1, 3, 4, 3, 3, 4, 2, 4, 2, 3, 1, 3, 1, 1, 4, 4, 2, 1, 2, 2, 4, 4, 1, 1, 0, 0, 1, 4, 3, 0, 4, 4, 0, 3, 4, 3, 4, 0, 3, 1, 1, 4, 1, 0, 0, 2, 3, 1, 0, 0, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 4, 1, 3, 3, 2, 4, 4, 3, 1, 0, 4, 2, 0, 0, 4, 3, 2, 0, 4, 1, 2, 3, 0, 4, 1, 4, 4, 1, 3, 4, 3, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 0, 3, 4, 2, 0, 2, 0, 3, 1, 4, 2, 1, 0, 1, 2, 3, 4, 3, 4, 3, 2, 3, 2, 4, 0, 0, 4, 1, 2, 4, 4, 4, 4, 2, 0, 2, 1, 1, 0, 4, 3, 3, 0, 3, 0, 3, 4, 3, 4, 2, 0, 1, 4, 3, 1, 2, 2, 0, 1, 2, 1, 2, 0, 4, 0, 0, 0, 4, 2, 3, 0, 0, 1, 4, 3, 3, 3, 2, 4, 1, 3, 4, 3, 3, 4, 1, 3, 4, 2, 0, 4, 0, 2, 3, 4, 0, 4, 0, 1, 0, 2, 4, 3, 2, 1, 4, 3, 0, 0, 3, 3]
pubkeycol432 = [4, 3, 0, 1, 0, 4, 3, 2, 3, 4, 4, 0, 3, 1, 2, 2, 1, 4, 1, 3, 0, 0, 3, 1, 0, 4, 0, 2, 1, 4, 1, 4, 3, 1, 4, 0, 4, 4, 1, 0, 4, 1, 4, 1, 4, 1, 0, 1, 0, 3, 4, 4, 2, 3, 3, 4, 4, 1, 0, 0, 2, 1, 2, 3, 2, 3, 0, 2, 2, 0, 3, 0, 0, 2, 0, 0, 1, 4, 1, 3, 1, 4, 0, 3, 3, 0, 4, 2, 1, 4, 3, 4, 2, 0, 2, 3, 4, 2, 2, 4, 0, 2, 1, 0, 1, 2, 0, 1, 2, 3, 2, 2, 2, 4, 2, 2, 2, 4, 4, 0, 4, 1, 4, 2, 3, 4, 1, 4, 0, 3, 2, 3, 4, 1, 0, 0, 4, 3, 0, 3, 2, 3, 3, 3, 2, 3, 0, 4, 2, 4, 4, 1, 3, 0, 1, 4, 4, 3, 3, 1, 4, 4, 2, 0, 4, 3, 2, 2, 2, 2, 2, 3, 2, 2, 4, 0, 2, 2, 1, 1, 4, 0, 2, 1, 4, 0, 1, 2, 2, 2, 4, 3, 3, 0, 2, 3, 3, 2, 0, 2, 3, 1, 3, 1, 4, 4, 1, 2, 0, 2, 2, 1, 2, 2, 3, 3, 2, 4, 1, 4, 0, 1, 2, 1, 3, 1, 1, 4, 1, 2, 3, 1, 1, 0, 1, 0, 2, 4, 2, 1, 3, 2, 0, 1, 1, 0, 1, 3, 4, 1, 2, 4, 4, 3, 3, 1, 3, 1, 1, 0, 1, 3, 4, 0, 4, 2, 1, 4, 3, 4, 4, 2, 3, 2, 0, 4, 3, 4, 3, 1, 1, 3, 0, 3, 0, 0, 0, 2, 4, 3, 1, 1, 1, 0, 0, 4, 3, 0, 1, 2, 4, 1, 3, 4, 1, 0, 0, 0, 3, 0, 2, 2, 3, 4, 3, 3, 1, 1, 4, 3]
pubkeycol433 = [1, 3, 4, 3, 0, 1, 3, 0, 3, 2, 4, 0, 3, 0, 1, 1, 3, 3, 4, 2, 0, 1, 4, 3, 0, 1, 1, 3, 4, 1, 0, 4, 2, 4, 1, 2, 2, 0, 1, 3, 3, 2, 0, 3, 2, 1, 4, 2, 4, 3, 0, 1, 4, 4, 3, 4, 1, 0, 4, 3, 3, 3, 1, 3, 1, 4, 2, 0, 4, 0, 4, 0, 4, 3, 4, 3, 3, 0, 3, 1, 4, 1, 2, 4, 1, 2, 1, 4, 0, 4, 0, 0, 1, 2, 0, 0, 3, 3, 1, 1, 3, 1, 0, 1, 3, 0, 2, 0, 2, 1, 3, 1, 0, 1, 1, 0, 3, 0, 0, 1, 0, 1, 4, 3, 2, 3, 3, 2, 2, 4, 0, 3, 2, 1, 1, 1, 4, 3, 3, 0, 3, 4, 4, 2, 1, 0, 0, 3, 1, 3, 1, 4, 0, 3, 2, 2, 3, 4, 4, 0, 3, 0, 3, 0, 2, 2, 1, 3, 4, 0, 4, 0, 1, 0, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 3, 2, 1, 0, 3, 1, 4, 0, 2, 0, 2, 4, 1, 2, 4, 0, 4, 1, 4, 4, 1, 4, 4, 3, 0, 4, 3, 1, 3, 3, 2, 1, 1, 1, 0, 4, 3, 2, 3, 0, 1, 0, 2, 4, 1, 1, 3, 1, 3, 3, 2, 4, 4, 2, 4, 2, 0, 0, 2, 0, 3, 0, 4, 2, 1, 1, 3, 1, 2, 0, 3, 4, 3, 4, 4, 0, 2, 1, 1, 3, 1, 3, 0, 1, 3, 3, 1, 3, 0, 1, 0, 2, 4, 2, 2, 3, 1, 4, 1, 4, 4, 2, 1, 0, 3, 4, 1, 4, 0, 2, 1, 2, 4, 1, 1, 4, 3, 1, 1, 1, 0, 1, 2, 4, 2, 4, 1, 3, 4, 0, 4, 2, 0, 3, 3, 3]
pubkeycol434 = [4, 2, 3, 3, 0, 4, 0, 0, 1, 2, 0, 1, 4, 3, 2, 0, 1, 3, 3, 2, 4, 2, 3, 2, 0, 0, 3, 0, 1, 2, 4, 0, 0, 4, 0, 4, 4, 3, 4, 0, 3, 2, 0, 1, 3, 2, 0, 0, 0, 2, 2, 3, 1, 3, 3, 2, 4, 4, 1, 3, 4, 3, 2, 3, 2, 0, 0, 3, 2, 2, 4, 1, 0, 2, 0, 0, 2, 0, 2, 3, 0, 4, 2, 2, 4, 3, 2, 1, 3, 4, 4, 4, 0, 3, 1, 4, 0, 4, 4, 4, 2, 1, 3, 1, 2, 1, 3, 3, 4, 2, 3, 1, 4, 1, 1, 1, 2, 3, 3, 1, 1, 1, 4, 2, 3, 3, 2, 1, 4, 4, 3, 3, 0, 1, 4, 3, 2, 3, 2, 0, 2, 1, 3, 1, 2, 0, 2, 3, 4, 1, 4, 4, 2, 3, 0, 2, 2, 2, 3, 1, 1, 4, 0, 2, 0, 1, 0, 4, 3, 0, 1, 0, 1, 1, 1, 4, 0, 4, 0, 0, 1, 1, 0, 1, 1, 3, 0, 0, 3, 0, 2, 2, 2, 0, 1, 2, 0, 1, 3, 4, 0, 1, 1, 2, 3, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 4, 2, 1, 4, 3, 3, 2, 2, 2, 1, 0, 4, 4, 1, 3, 2, 2, 3, 2, 4, 4, 3, 4, 2, 3, 1, 4, 2, 0, 2, 0, 0, 4, 2, 4, 0, 4, 0, 1, 2, 0, 3, 0, 4, 2, 4, 0, 1, 3, 0, 3, 1, 3, 2, 0, 0, 3, 0, 3, 1, 0, 1, 2, 4, 4, 1, 3, 3, 1, 1, 3, 4, 2, 4, 3, 3, 0, 0, 2, 2, 1, 4, 0, 3, 0, 1, 3, 2, 3, 3, 0, 2, 3, 0, 1, 4, 4, 1, 3, 0, 1, 1]
pubkeycol435 = [2, 4, 4, 0, 0, 3, 0, 4, 2, 1, 4, 0, 0, 1, 0, 0, 3, 0, 3, 4, 4, 0, 2, 0, 4, 2, 4, 3, 0, 1, 4, 3, 0, 3, 0, 4, 4, 1, 0, 0, 2, 0, 2, 0, 2, 3, 0, 1, 3, 1, 2, 1, 2, 3, 1, 1, 1, 4, 3, 4, 1, 3, 3, 3, 2, 2, 0, 1, 4, 0, 1, 0, 3, 2, 0, 3, 1, 1, 0, 1, 1, 3, 1, 0, 2, 2, 0, 0, 4, 3, 3, 2, 0, 3, 0, 1, 4, 1, 4, 1, 0, 0, 0, 2, 0, 3, 1, 3, 3, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 3, 4, 2, 4, 2, 2, 1, 0, 3, 3, 1, 0, 4, 0, 3, 2, 2, 4, 4, 0, 2, 3, 2, 0, 2, 0, 1, 0, 1, 4, 1, 3, 4, 1, 0, 1, 1, 4, 0, 1, 4, 2, 1, 0, 4, 4, 2, 3, 2, 3, 3, 2, 3, 1, 4, 4, 1, 0, 2, 2, 4, 0, 1, 4, 3, 3, 3, 0, 3, 4, 1, 0, 2, 3, 3, 2, 2, 0, 3, 0, 0, 0, 0, 1, 0, 1, 3, 0, 0, 1, 0, 4, 0, 1, 4, 0, 2, 2, 3, 1, 1, 0, 3, 2, 2, 4, 2, 1, 1, 2, 0, 4, 2, 4, 3, 0, 4, 1, 4, 0, 0, 1, 3, 0, 3, 3, 2, 2, 0, 2, 2, 0, 4, 3, 0, 1, 4, 0, 0, 0, 4, 3, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 1, 4, 1, 3, 2, 4, 3, 4, 1, 0, 4, 3, 0, 0, 1, 1, 2, 4, 3, 0, 2, 2, 4, 1, 4, 2, 4, 3, 3, 3, 4, 2, 1, 4, 0, 2, 4, 4, 1, 3, 3, 3, 0, 4, 2, 3, 0, 2, 4]
pubkeycol436 = [0, 0, 0, 1, 2, 3, 3, 4, 1, 2, 0, 1, 0, 0, 4, 1, 2, 2, 2, 2, 1, 2, 0, 4, 1, 0, 4, 2, 3, 4, 0, 3, 2, 4, 4, 2, 4, 1, 2, 1, 4, 0, 4, 1, 1, 1, 2, 2, 0, 2, 1, 1, 3, 3, 0, 4, 4, 4, 0, 0, 3, 2, 1, 0, 3, 2, 4, 0, 4, 2, 0, 1, 2, 1, 2, 3, 4, 4, 4, 3, 0, 0, 4, 4, 4, 3, 3, 1, 3, 4, 3, 1, 4, 2, 0, 1, 3, 1, 1, 2, 4, 0, 0, 4, 3, 3, 1, 4, 0, 1, 1, 2, 1, 4, 1, 3, 1, 1, 0, 2, 3, 4, 3, 1, 2, 3, 0, 3, 1, 4, 0, 2, 0, 4, 4, 3, 2, 2, 4, 1, 0, 0, 2, 1, 0, 1, 2, 2, 4, 0, 1, 0, 4, 3, 0, 2, 2, 0, 3, 4, 3, 2, 0, 4, 4, 2, 1, 4, 4, 1, 0, 0, 2, 1, 2, 3, 0, 2, 2, 0, 3, 1, 4, 0, 1, 4, 3, 3, 2, 0, 2, 4, 0, 2, 3, 1, 3, 2, 0, 3, 1, 1, 2, 2, 3, 1, 0, 4, 1, 3, 1, 0, 1, 1, 1, 0, 4, 0, 2, 0, 1, 4, 1, 0, 2, 3, 2, 3, 3, 0, 2, 0, 2, 1, 0, 3, 4, 4, 4, 3, 4, 3, 4, 4, 0, 1, 0, 3, 2, 4, 0, 4, 4, 4, 4, 0, 3, 0, 4, 0, 2, 2, 4, 3, 0, 3, 1, 4, 0, 1, 3, 1, 2, 1, 2, 3, 0, 1, 2, 3, 3, 1, 4, 4, 3, 2, 3, 2, 3, 2, 4, 4, 3, 1, 3, 1, 0, 1, 2, 3, 2, 1, 2, 3, 4, 2, 1, 1, 2, 3, 0, 2, 3, 0, 0, 1, 1, 1, 2, 4]
pubkeycol437 = [3, 2, 3, 4, 0, 2, 1, 2, 0, 0, 2, 2, 2, 4, 3, 3, 0, 0, 4, 2, 4, 3, 0, 1, 3, 2, 4, 3, 0, 2, 0, 1, 1, 2, 0, 3, 3, 4, 0, 4, 1, 4, 3, 4, 0, 4, 4, 4, 4, 4, 2, 3, 4, 1, 2, 1, 2, 3, 2, 4, 4, 4, 4, 3, 3, 1, 3, 2, 4, 2, 2, 0, 1, 1, 4, 3, 4, 2, 2, 2, 3, 2, 1, 4, 4, 2, 3, 2, 3, 4, 4, 1, 2, 4, 2, 4, 0, 0, 2, 3, 3, 2, 1, 4, 2, 0, 3, 2, 3, 2, 3, 2, 1, 4, 0, 1, 0, 1, 0, 4, 4, 2, 4, 3, 3, 3, 2, 3, 4, 4, 0, 2, 4, 3, 2, 2, 3, 0, 4, 1, 3, 2, 2, 1, 3, 1, 2, 1, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 4, 2, 0, 3, 0, 1, 1, 4, 4, 0, 0, 0, 0, 4, 2, 3, 0, 3, 2, 2, 1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 0, 4, 4, 2, 3, 1, 1, 3, 3, 4, 3, 0, 0, 3, 3, 1, 2, 3, 1, 3, 0, 1, 1, 0, 2, 3, 2, 4, 0, 0, 1, 1, 1, 4, 1, 3, 4, 3, 4, 2, 3, 4, 3, 0, 0, 4, 4, 3, 1, 3, 0, 1, 0, 3, 2, 2, 4, 1, 3, 4, 3, 0, 3, 1, 1, 0, 3, 4, 4, 0, 0, 0, 0, 2, 4, 3, 0, 1, 4, 3, 2, 2, 3, 4, 2, 0, 3, 4, 2, 4, 3, 3, 1, 3, 4, 4, 2, 4, 3, 3, 2, 1, 1, 0, 1, 1, 0, 3, 1, 4, 0, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 3, 4, 3, 4, 2, 2, 2]
pubkeycol438 = [1, 3, 0, 3, 4, 2, 1, 1, 2, 3, 2, 3, 2, 3, 3, 0, 2, 4, 3, 0, 4, 2, 2, 3, 2, 3, 4, 2, 1, 4, 2, 3, 4, 0, 1, 1, 1, 4, 0, 1, 3, 4, 0, 3, 1, 3, 1, 3, 3, 0, 2, 0, 4, 0, 1, 0, 4, 1, 3, 1, 1, 4, 4, 1, 2, 0, 4, 3, 1, 3, 3, 1, 3, 2, 3, 3, 1, 4, 1, 1, 1, 2, 0, 1, 3, 1, 2, 1, 4, 0, 0, 4, 2, 1, 3, 4, 3, 1, 2, 3, 1, 1, 2, 3, 2, 2, 3, 4, 4, 3, 2, 0, 2, 3, 3, 1, 2, 0, 0, 3, 1, 4, 1, 0, 4, 4, 1, 1, 4, 0, 1, 4, 2, 4, 3, 4, 2, 3, 3, 4, 4, 4, 1, 1, 3, 3, 3, 2, 2, 3, 0, 2, 3, 0, 0, 4, 3, 1, 4, 2, 3, 0, 0, 2, 1, 3, 3, 2, 4, 0, 3, 3, 0, 2, 3, 0, 2, 3, 4, 1, 2, 0, 4, 4, 4, 1, 4, 1, 4, 1, 4, 2, 4, 1, 1, 3, 3, 2, 4, 4, 4, 3, 3, 1, 3, 4, 4, 0, 4, 0, 1, 4, 3, 1, 1, 2, 1, 4, 0, 1, 3, 3, 2, 3, 2, 2, 4, 0, 4, 3, 3, 0, 2, 3, 2, 4, 0, 0, 1, 3, 4, 0, 0, 4, 0, 1, 2, 2, 0, 2, 2, 1, 1, 4, 4, 1, 4, 0, 2, 4, 0, 4, 1, 3, 2, 2, 4, 0, 2, 1, 1, 0, 3, 4, 0, 4, 3, 2, 3, 0, 4, 3, 2, 4, 3, 3, 0, 0, 0, 3, 2, 2, 4, 4, 2, 2, 1, 4, 4, 3, 2, 1, 3, 4, 4, 4, 3, 2, 1, 3, 0, 0, 2, 0, 0, 3, 2, 0, 4, 4]
pubkeycol439 = [1, 3, 2, 1, 4, 1, 4, 4, 3, 2, 4, 3, 3, 4, 2, 2, 2, 4, 3, 0, 0, 2, 4, 2, 0, 0, 3, 3, 2, 3, 2, 3, 4, 0, 1, 0, 2, 2, 2, 2, 0, 1, 3, 1, 0, 3, 3, 2, 4, 4, 0, 4, 0, 1, 2, 4, 3, 1, 4, 4, 3, 4, 3, 2, 4, 4, 0, 0, 1, 4, 0, 2, 0, 4, 1, 3, 1, 2, 3, 1, 2, 3, 2, 0, 4, 1, 0, 3, 0, 0, 2, 0, 2, 0, 3, 3, 4, 2, 3, 2, 4, 0, 1, 4, 0, 3, 3, 4, 3, 4, 3, 1, 3, 2, 2, 2, 4, 4, 3, 0, 4, 4, 3, 3, 4, 2, 2, 2, 0, 4, 3, 4, 3, 1, 2, 2, 3, 2, 3, 3, 0, 3, 4, 1, 4, 4, 4, 4, 4, 0, 3, 0, 4, 2, 4, 1, 1, 3, 3, 3, 4, 2, 4, 3, 4, 1, 2, 4, 0, 3, 0, 2, 3, 1, 3, 1, 1, 1, 0, 3, 1, 0, 0, 1, 0, 4, 3, 4, 0, 3, 1, 2, 4, 0, 2, 0, 4, 2, 2, 2, 1, 2, 2, 4, 1, 0, 0, 1, 4, 0, 4, 2, 0, 2, 2, 1, 2, 0, 2, 0, 3, 0, 2, 4, 3, 1, 2, 4, 1, 4, 0, 4, 1, 4, 0, 0, 2, 3, 3, 3, 2, 1, 4, 1, 0, 3, 1, 0, 3, 2, 4, 1, 4, 0, 1, 3, 2, 4, 2, 3, 0, 4, 1, 4, 3, 0, 0, 1, 2, 2, 3, 1, 2, 4, 1, 1, 1, 1, 3, 2, 1, 4, 1, 1, 1, 3, 4, 1, 3, 4, 0, 3, 1, 2, 4, 2, 4, 1, 3, 0, 0, 1, 2, 1, 4, 2, 0, 4, 4, 4, 4, 2, 4, 2, 1, 1, 1, 0, 4, 1]
pubkeycol440 = [4, 1, 3, 1, 4, 4, 2, 1, 0, 4, 1, 1, 3, 2, 2, 3, 4, 1, 0, 4, 4, 3, 0, 3, 2, 1, 1, 2, 0, 3, 4, 3, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 1, 2, 3, 0, 4, 1, 0, 2, 0, 1, 2, 1, 0, 1, 4, 4, 3, 2, 0, 4, 2, 1, 3, 1, 3, 3, 3, 4, 1, 1, 3, 4, 2, 1, 4, 0, 3, 2, 0, 3, 3, 0, 4, 3, 0, 1, 1, 2, 2, 0, 2, 4, 0, 2, 2, 0, 1, 4, 4, 3, 0, 2, 3, 0, 1, 0, 3, 1, 3, 1, 0, 1, 1, 1, 1, 2, 0, 3, 0, 2, 1, 0, 2, 0, 4, 4, 3, 3, 0, 2, 4, 2, 3, 2, 0, 2, 1, 1, 0, 4, 3, 1, 2, 3, 3, 4, 1, 1, 3, 2, 2, 4, 4, 3, 0, 1, 3, 4, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 3, 2, 1, 2, 3, 0, 4, 4, 1, 2, 3, 2, 3, 3, 3, 4, 1, 2, 1, 4, 3, 1, 2, 1, 2, 1, 0, 1, 0, 3, 0, 2, 0, 4, 4, 2, 2, 4, 3, 4, 0, 2, 1, 1, 3, 1, 0, 4, 0, 2, 2, 4, 3, 4, 1, 0, 2, 2, 2, 4, 0, 1, 0, 3, 4, 2, 4, 1, 4, 0, 1, 4, 1, 1, 0, 3, 4, 0, 0, 4, 1, 1, 2, 4, 2, 1, 3, 4, 4, 1, 1, 4, 2, 3, 2, 3, 3, 2, 0, 1, 2, 3, 3, 4, 3, 0, 1, 2, 4, 1, 3, 3, 2, 1, 4, 4, 4, 2, 3, 4, 3, 4, 0, 3, 4, 4, 2, 2, 1, 2, 1, 1, 3, 1, 4, 4, 1, 3, 3, 3, 1, 2, 3, 2, 4, 2, 2, 0, 1, 1]
pubkeycol441 = [1, 4, 3, 2, 0, 3, 4, 4, 4, 1, 3, 2, 3, 4, 4, 3, 4, 1, 4, 0, 2, 3, 3, 2, 3, 4, 1, 4, 2, 2, 3, 2, 3, 1, 4, 3, 1, 3, 2, 1, 0, 0, 3, 2, 3, 0, 3, 4, 4, 3, 0, 0, 0, 4, 1, 3, 2, 0, 1, 1, 2, 2, 1, 1, 3, 3, 0, 0, 2, 3, 2, 2, 0, 1, 3, 1, 4, 3, 1, 0, 4, 1, 1, 2, 2, 3, 4, 0, 3, 1, 4, 0, 4, 0, 4, 4, 3, 2, 0, 0, 3, 4, 4, 0, 0, 0, 1, 4, 4, 1, 1, 1, 4, 0, 2, 1, 1, 3, 0, 3, 4, 3, 2, 4, 4, 3, 1, 0, 1, 3, 3, 3, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 1, 4, 1, 2, 0, 3, 3, 4, 3, 4, 0, 2, 0, 2, 1, 1, 2, 0, 3, 3, 0, 0, 2, 4, 2, 3, 2, 1, 4, 1, 4, 4, 1, 1, 1, 2, 0, 3, 4, 2, 1, 1, 4, 1, 2, 0, 4, 0, 2, 0, 0, 3, 0, 1, 3, 4, 4, 4, 3, 4, 4, 4, 4, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 4, 1, 4, 4, 2, 0, 3, 2, 2, 0, 3, 0, 4, 3, 3, 1, 0, 2, 3, 1, 4, 1, 2, 1, 2, 3, 0, 2, 2, 3, 3, 2, 3, 1, 1, 3, 0, 4, 0, 3, 0, 2, 0, 3, 4, 1, 2, 3, 2, 4, 3, 0, 1, 0, 3, 3, 1, 1, 3, 0, 0, 2, 1, 2, 0, 4, 3, 3, 3, 2, 4, 0, 0, 3, 4, 1, 3, 3, 1, 1, 1, 0, 1, 3, 3, 2, 4, 0, 2, 2, 1, 3, 1, 4, 2, 0, 3, 0, 4, 0, 0, 2, 3, 0, 1]
pubkeycol442 = [4, 3, 4, 1, 1, 0, 4, 4, 2, 4, 1, 0, 2, 3, 3, 0, 0, 1, 4, 4, 2, 0, 4, 2, 2, 2, 4, 4, 3, 0, 4, 3, 2, 1, 1, 1, 3, 0, 3, 0, 4, 0, 4, 0, 2, 4, 1, 2, 1, 0, 3, 0, 4, 3, 2, 3, 2, 2, 1, 3, 2, 1, 4, 3, 4, 4, 1, 4, 4, 1, 3, 4, 3, 0, 0, 1, 4, 1, 1, 0, 2, 0, 3, 1, 4, 1, 1, 0, 4, 4, 4, 1, 2, 0, 3, 3, 3, 3, 0, 2, 0, 4, 1, 4, 3, 0, 2, 1, 3, 1, 4, 0, 4, 4, 4, 2, 0, 3, 2, 3, 1, 1, 1, 1, 1, 4, 2, 3, 3, 0, 2, 2, 3, 3, 3, 0, 0, 2, 4, 2, 0, 3, 1, 0, 4, 4, 3, 3, 2, 3, 1, 0, 3, 3, 1, 4, 3, 4, 4, 2, 4, 2, 2, 2, 1, 3, 0, 4, 1, 0, 2, 0, 4, 3, 0, 3, 1, 4, 0, 1, 0, 3, 1, 1, 4, 4, 3, 3, 2, 2, 1, 2, 1, 0, 0, 4, 3, 3, 1, 0, 0, 4, 2, 3, 1, 4, 4, 2, 2, 4, 1, 1, 2, 3, 0, 1, 4, 3, 1, 0, 2, 0, 0, 1, 1, 4, 4, 2, 3, 2, 4, 1, 3, 0, 2, 0, 3, 2, 4, 2, 0, 3, 4, 4, 1, 3, 2, 1, 3, 3, 3, 4, 1, 1, 3, 0, 3, 1, 2, 0, 0, 1, 4, 0, 2, 4, 3, 2, 1, 1, 3, 2, 0, 2, 3, 3, 3, 4, 0, 1, 0, 1, 0, 3, 4, 2, 2, 0, 2, 4, 1, 2, 0, 3, 1, 4, 4, 4, 4, 1, 3, 1, 3, 4, 1, 0, 1, 4, 1, 3, 0, 3, 0, 0, 1, 0, 3, 0, 3, 1]
pubkeycol443 = [2, 1, 1, 4, 2, 2, 3, 1, 0, 0, 2, 4, 2, 0, 3, 0, 1, 2, 3, 2, 0, 2, 0, 4, 0, 0, 2, 2, 3, 2, 3, 2, 2, 2, 0, 3, 1, 4, 1, 3, 1, 4, 2, 2, 0, 0, 4, 0, 1, 4, 3, 0, 3, 1, 2, 1, 0, 1, 1, 4, 2, 3, 3, 4, 3, 4, 2, 4, 2, 0, 0, 1, 2, 0, 4, 0, 0, 2, 4, 4, 1, 1, 2, 2, 3, 2, 1, 0, 4, 2, 1, 4, 0, 3, 2, 4, 0, 0, 4, 1, 1, 1, 4, 0, 0, 2, 4, 2, 1, 2, 2, 2, 1, 0, 0, 3, 2, 2, 4, 3, 2, 1, 4, 4, 2, 3, 1, 1, 3, 4, 3, 1, 3, 3, 4, 2, 2, 1, 2, 2, 1, 3, 2, 4, 3, 1, 4, 3, 4, 3, 4, 0, 1, 2, 0, 1, 0, 4, 0, 3, 2, 4, 3, 3, 0, 1, 1, 2, 2, 0, 2, 2, 4, 2, 3, 1, 0, 2, 0, 3, 4, 0, 2, 0, 2, 1, 3, 2, 3, 3, 2, 2, 3, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 3, 0, 2, 1, 1, 3, 0, 4, 2, 0, 1, 1, 1, 4, 1, 4, 2, 2, 0, 2, 0, 4, 0, 1, 3, 3, 0, 3, 4, 1, 3, 3, 0, 2, 3, 3, 4, 4, 0, 3, 2, 3, 2, 3, 4, 3, 0, 0, 4, 0, 1, 2, 0, 3, 3, 2, 4, 2, 3, 2, 3, 0, 0, 1, 2, 2, 3, 3, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 3, 0, 3, 0, 0, 4, 0, 1, 3, 0, 0, 2, 2, 2, 0, 3, 1, 4, 4, 2, 1, 1, 2, 3, 0, 0, 4, 0, 3, 2, 4, 3, 2, 1, 1, 0, 0]
pubkeycol444 = [0, 0, 4, 0, 2, 2, 0, 2, 3, 0, 1, 1, 0, 2, 2, 0, 4, 4, 2, 3, 2, 4, 3, 2, 0, 3, 4, 0, 0, 4, 3, 1, 0, 3, 3, 2, 4, 4, 0, 0, 2, 3, 1, 2, 4, 4, 2, 3, 1, 4, 0, 0, 3, 0, 2, 1, 3, 0, 0, 4, 3, 4, 4, 4, 3, 2, 1, 0, 3, 1, 0, 4, 4, 1, 2, 2, 0, 1, 0, 3, 1, 4, 1, 2, 2, 1, 4, 3, 2, 1, 2, 1, 4, 4, 2, 3, 0, 3, 1, 1, 3, 4, 1, 3, 3, 2, 3, 3, 0, 4, 4, 0, 3, 0, 3, 4, 3, 1, 3, 2, 4, 4, 1, 4, 0, 0, 3, 3, 1, 3, 0, 3, 3, 0, 0, 3, 1, 3, 1, 2, 2, 4, 0, 4, 3, 2, 3, 4, 0, 4, 1, 0, 2, 0, 3, 2, 4, 3, 1, 4, 0, 4, 2, 0, 3, 3, 0, 2, 4, 2, 0, 4, 3, 2, 0, 1, 1, 0, 0, 2, 4, 1, 3, 3, 2, 1, 4, 0, 1, 4, 4, 2, 3, 4, 0, 0, 4, 0, 3, 4, 0, 4, 3, 0, 1, 3, 2, 2, 3, 1, 3, 4, 3, 0, 2, 4, 0, 4, 4, 4, 4, 3, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 4, 1, 0, 3, 1, 0, 4, 3, 0, 2, 1, 2, 1, 4, 1, 1, 3, 4, 3, 1, 3, 1, 3, 4, 2, 4, 1, 1, 2, 4, 2, 1, 2, 4, 1, 4, 4, 3, 1, 3, 4, 2, 0, 2, 0, 1, 3, 1, 0, 1, 3, 3, 2, 1, 0, 4, 1, 0, 2, 3, 3, 2, 3, 0, 2, 4, 3, 4, 2, 2, 1, 2, 0, 0, 3, 2, 3, 0, 3, 0, 2, 3, 4, 4, 2, 3, 1]
pubkeycol445 = [2, 4, 2, 3, 2, 2, 2, 3, 1, 2, 1, 0, 3, 4, 0, 4, 3, 2, 2, 2, 2, 3, 4, 0, 0, 0, 4, 4, 0, 2, 1, 4, 3, 3, 4, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 3, 1, 3, 4, 3, 2, 0, 3, 4, 1, 2, 3, 1, 0, 4, 0, 0, 2, 2, 1, 4, 0, 2, 3, 4, 4, 0, 3, 4, 4, 1, 4, 3, 4, 0, 3, 1, 3, 2, 1, 0, 0, 3, 3, 3, 3, 4, 2, 1, 0, 2, 4, 4, 1, 2, 4, 1, 0, 3, 1, 2, 4, 3, 3, 2, 3, 3, 0, 1, 0, 1, 4, 2, 4, 0, 2, 1, 0, 3, 3, 3, 0, 3, 2, 4, 2, 4, 1, 0, 3, 4, 4, 4, 3, 0, 1, 1, 1, 2, 1, 4, 1, 4, 4, 2, 0, 4, 3, 0, 2, 0, 4, 0, 3, 3, 0, 2, 0, 1, 1, 3, 1, 4, 4, 3, 0, 2, 2, 2, 1, 0, 3, 1, 2, 1, 4, 4, 4, 2, 1, 4, 2, 1, 3, 0, 0, 3, 4, 4, 3, 4, 2, 0, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 4, 0, 0, 0, 2, 0, 4, 4, 4, 1, 0, 0, 3, 0, 4, 4, 3, 1, 0, 3, 3, 0, 4, 0, 2, 4, 0, 3, 1, 4, 0, 2, 3, 1, 2, 1, 0, 0, 2, 3, 4, 0, 2, 1, 2, 3, 0, 4, 2, 1, 3, 1, 2, 2, 0, 2, 3, 3, 0, 4, 2, 0, 0, 3, 0, 2, 1, 2, 0, 3, 3, 3, 0, 2, 1, 0, 0, 1, 4, 1, 3, 2, 3, 1, 3, 4, 3, 4, 4, 1, 2, 1, 0, 2, 0, 1, 3, 4, 2, 4, 0, 1, 1, 0, 1]
pubkeycol446 = [0, 0, 2, 0, 3, 3, 4, 1, 3, 3, 0, 0, 4, 4, 4, 2, 3, 2, 2, 2, 2, 0, 1, 0, 4, 1, 4, 0, 0, 3, 2, 3, 3, 1, 1, 2, 1, 4, 0, 2, 2, 2, 3, 0, 1, 0, 0, 0, 4, 1, 3, 3, 1, 3, 2, 0, 1, 3, 1, 4, 4, 1, 0, 3, 3, 2, 4, 3, 1, 3, 2, 1, 4, 3, 1, 3, 4, 3, 4, 1, 0, 0, 4, 1, 4, 1, 4, 2, 2, 1, 1, 1, 2, 4, 2, 0, 4, 4, 0, 3, 3, 0, 3, 3, 3, 2, 1, 3, 2, 1, 2, 2, 4, 4, 1, 1, 3, 0, 2, 2, 3, 2, 4, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 1, 2, 0, 0, 2, 3, 2, 1, 2, 4, 1, 0, 0, 0, 2, 3, 3, 2, 4, 0, 0, 3, 2, 4, 3, 2, 2, 0, 0, 2, 4, 4, 4, 1, 2, 2, 0, 3, 4, 3, 0, 3, 2, 2, 2, 3, 0, 2, 0, 3, 0, 0, 3, 0, 1, 0, 4, 0, 3, 4, 4, 4, 1, 2, 1, 3, 4, 1, 0, 4, 3, 2, 1, 4, 4, 4, 0, 2, 4, 3, 2, 2, 3, 1, 1, 2, 1, 3, 3, 1, 3, 1, 3, 1, 4, 1, 0, 4, 0, 2, 1, 3, 4, 1, 4, 2, 2, 1, 2, 0, 4, 0, 1, 1, 0, 4, 0, 1, 3, 2, 3, 4, 4, 0, 1, 3, 4, 3, 4, 1, 2, 2, 4, 3, 2, 2, 0, 0, 0, 2, 4, 1, 1, 2, 3, 3, 0, 0, 0, 4, 0, 1, 0, 4, 2, 4, 2, 2, 0, 4, 0, 4, 1, 4, 1, 0, 0, 0, 2, 0, 2, 0, 0, 3, 4, 3, 0, 1, 0, 3, 0, 3, 3, 2, 1, 2]
pubkeycol447 = [0, 1, 3, 4, 2, 0, 1, 0, 0, 0, 1, 2, 4, 2, 0, 0, 3, 3, 0, 4, 4, 2, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 4, 2, 2, 1, 4, 3, 0, 2, 1, 4, 4, 3, 1, 0, 0, 1, 1, 0, 1, 4, 0, 4, 0, 3, 1, 0, 0, 1, 1, 0, 3, 2, 1, 3, 4, 0, 3, 0, 0, 1, 4, 4, 0, 3, 3, 3, 0, 0, 3, 1, 3, 4, 0, 1, 3, 3, 0, 2, 1, 2, 2, 1, 1, 1, 4, 0, 4, 0, 4, 2, 2, 1, 0, 3, 2, 3, 1, 1, 4, 1, 1, 1, 2, 1, 4, 4, 1, 4, 1, 2, 1, 2, 1, 4, 3, 4, 1, 1, 0, 0, 1, 4, 1, 2, 0, 0, 0, 3, 2, 2, 2, 1, 4, 1, 4, 1, 3, 0, 2, 1, 0, 3, 0, 3, 4, 0, 2, 2, 1, 1, 2, 1, 3, 4, 0, 4, 3, 3, 3, 1, 0, 0, 1, 1, 4, 1, 0, 1, 4, 1, 1, 4, 3, 3, 0, 0, 2, 1, 0, 3, 0, 4, 3, 4, 1, 1, 1, 3, 3, 0, 2, 4, 4, 2, 3, 4, 0, 4, 0, 4, 2, 4, 0, 1, 0, 1, 0, 0, 4, 1, 0, 1, 3, 4, 4, 3, 2, 1, 4, 4, 3, 1, 3, 3, 0, 0, 0, 2, 4, 3, 0, 2, 1, 1, 1, 2, 0, 3, 4, 3, 0, 0, 0, 2, 2, 0, 2, 4, 2, 1, 4, 2, 0, 1, 3, 4, 4, 2, 2, 4, 4, 1, 4, 2, 1, 3, 4, 0, 4, 1, 2, 2, 3, 1, 4, 4, 0, 0, 0, 3, 3, 0, 1, 3, 0, 3, 1, 2, 0, 0, 2, 1, 3, 4, 1, 4, 2, 2, 3, 3, 1, 4, 0, 0, 2, 4, 3, 3]
pubkeycol448 = [2, 3, 2, 3, 4, 0, 2, 4, 2, 4, 1, 3, 2, 2, 1, 3, 0, 1, 2, 1, 2, 0, 3, 2, 3, 1, 2, 4, 3, 1, 3, 0, 2, 1, 4, 3, 3, 1, 4, 2, 3, 2, 2, 3, 2, 4, 4, 3, 3, 0, 1, 2, 0, 3, 0, 3, 2, 1, 0, 2, 1, 0, 3, 3, 2, 2, 0, 4, 3, 4, 3, 0, 4, 0, 2, 1, 4, 3, 3, 2, 3, 1, 3, 2, 4, 0, 4, 0, 4, 2, 0, 0, 1, 4, 4, 3, 3, 3, 1, 1, 2, 4, 3, 3, 4, 4, 3, 2, 0, 2, 4, 3, 2, 1, 1, 4, 4, 4, 3, 0, 1, 4, 1, 0, 4, 4, 2, 3, 3, 2, 3, 4, 4, 1, 3, 2, 3, 2, 0, 1, 4, 1, 2, 0, 3, 0, 0, 2, 3, 4, 0, 3, 1, 0, 0, 4, 4, 3, 0, 2, 3, 2, 4, 4, 3, 0, 2, 4, 1, 3, 2, 4, 0, 3, 3, 4, 4, 1, 0, 0, 3, 2, 2, 1, 3, 1, 1, 2, 2, 0, 0, 4, 1, 3, 2, 0, 4, 0, 3, 0, 2, 1, 3, 4, 2, 0, 1, 4, 1, 4, 3, 4, 2, 4, 3, 3, 3, 1, 3, 1, 4, 2, 3, 2, 4, 2, 1, 0, 4, 3, 2, 3, 4, 3, 2, 2, 0, 4, 0, 4, 2, 0, 2, 4, 2, 3, 1, 3, 2, 0, 0, 0, 2, 2, 3, 2, 1, 4, 4, 0, 3, 2, 4, 4, 2, 0, 4, 4, 3, 2, 4, 4, 0, 3, 1, 0, 2, 3, 2, 2, 1, 2, 4, 3, 0, 2, 4, 3, 0, 0, 0, 4, 2, 0, 3, 0, 2, 0, 1, 0, 2, 4, 4, 0, 0, 3, 1, 0, 0, 3, 3, 4, 0, 4, 2, 2, 2, 1, 3, 2]
pubkeycol449 = [2, 1, 4, 1, 3, 2, 0, 4, 1, 0, 4, 2, 4, 1, 4, 3, 4, 4, 2, 1, 4, 0, 2, 2, 2, 0, 3, 2, 2, 4, 2, 4, 4, 0, 3, 2, 1, 4, 1, 4, 2, 4, 3, 0, 4, 3, 2, 0, 0, 1, 4, 4, 0, 4, 1, 3, 1, 0, 1, 3, 1, 3, 4, 0, 3, 2, 1, 4, 3, 4, 3, 2, 0, 2, 2, 0, 3, 0, 3, 1, 3, 1, 4, 3, 4, 3, 2, 3, 0, 2, 3, 4, 4, 2, 0, 2, 4, 3, 1, 4, 1, 0, 2, 2, 2, 3, 0, 4, 0, 4, 2, 1, 2, 2, 3, 2, 3, 1, 4, 2, 0, 3, 4, 4, 2, 1, 4, 1, 4, 0, 1, 4, 3, 4, 0, 2, 3, 4, 2, 2, 2, 1, 2, 2, 4, 0, 3, 0, 2, 0, 2, 3, 0, 0, 3, 4, 1, 3, 4, 0, 3, 0, 4, 2, 4, 3, 4, 2, 3, 0, 4, 0, 0, 0, 1, 4, 2, 0, 0, 4, 2, 1, 1, 4, 3, 4, 4, 1, 4, 2, 3, 3, 1, 1, 1, 2, 2, 3, 2, 1, 4, 1, 1, 2, 3, 2, 0, 3, 2, 0, 1, 4, 1, 4, 1, 4, 4, 0, 3, 1, 2, 0, 2, 0, 4, 0, 3, 2, 2, 1, 0, 3, 1, 0, 2, 0, 4, 3, 0, 0, 3, 4, 2, 4, 2, 4, 1, 1, 0, 0, 3, 2, 3, 1, 4, 4, 1, 1, 4, 4, 1, 2, 0, 3, 1, 2, 4, 1, 3, 4, 2, 4, 3, 4, 4, 1, 3, 2, 2, 1, 3, 0, 0, 3, 2, 1, 0, 1, 3, 2, 0, 1, 3, 4, 2, 0, 1, 2, 2, 0, 3, 1, 2, 3, 1, 1, 1, 3, 4, 0, 2, 1, 0, 4, 2, 0, 0, 2, 0, 1]
pubkeycol450 = [1, 3, 2, 4, 1, 0, 2, 0, 0, 2, 4, 3, 1, 3, 3, 1, 3, 1, 1, 0, 1, 3, 2, 0, 4, 2, 1, 1, 2, 2, 4, 3, 1, 2, 2, 4, 2, 2, 3, 1, 1, 3, 0, 3, 4, 3, 2, 4, 0, 3, 3, 3, 2, 4, 4, 4, 1, 3, 3, 4, 0, 4, 3, 4, 1, 0, 2, 4, 3, 0, 4, 0, 0, 0, 3, 1, 2, 4, 1, 4, 0, 3, 4, 3, 2, 4, 3, 0, 1, 3, 1, 2, 3, 4, 0, 1, 2, 4, 1, 4, 0, 0, 2, 4, 0, 0, 3, 4, 4, 4, 4, 2, 1, 3, 1, 4, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 3, 3, 0, 2, 1, 2, 0, 2, 2, 3, 0, 4, 3, 1, 0, 1, 4, 3, 2, 3, 4, 3, 2, 1, 4, 0, 3, 2, 1, 4, 2, 0, 4, 0, 1, 4, 0, 3, 4, 0, 2, 4, 1, 4, 1, 0, 2, 1, 4, 3, 0, 3, 2, 1, 3, 1, 0, 0, 3, 0, 4, 1, 0, 1, 4, 3, 0, 4, 4, 0, 4, 4, 0, 0, 2, 2, 4, 0, 3, 2, 3, 4, 3, 2, 3, 0, 3, 2, 3, 0, 2, 1, 1, 3, 0, 4, 3, 0, 2, 1, 3, 2, 3, 4, 0, 2, 2, 4, 4, 2, 3, 4, 2, 3, 4, 0, 3, 4, 2, 1, 2, 1, 0, 1, 0, 2, 1, 3, 2, 2, 3, 4, 0, 4, 4, 2, 3, 4, 3, 2, 4, 1, 0, 2, 0, 0, 3, 2, 4, 0, 1, 0, 4, 4, 2, 2, 4, 0, 2, 1, 2, 3, 0, 0, 1, 1, 2, 0, 1, 0, 2, 3, 0, 1, 3, 4, 3, 4, 4, 2, 1, 0, 0, 2, 3, 3, 4, 4, 1, 0, 2, 3, 0]
pubkeycol451 = [3, 2, 2, 4, 2, 3, 3, 0, 0, 3, 4, 4, 0, 0, 3, 1, 4, 2, 4, 1, 3, 4, 3, 1, 4, 0, 3, 3, 0, 4, 0, 3, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 4, 1, 2, 3, 0, 0, 2, 1, 3, 2, 4, 0, 1, 3, 2, 4, 0, 2, 2, 1, 3, 0, 2, 2, 1, 4, 1, 3, 2, 2, 2, 4, 2, 0, 4, 2, 3, 4, 4, 1, 2, 4, 2, 2, 0, 4, 1, 3, 3, 2, 1, 0, 1, 4, 3, 2, 0, 4, 2, 0, 2, 4, 2, 2, 4, 1, 2, 3, 0, 2, 0, 0, 3, 4, 3, 0, 4, 2, 2, 0, 4, 2, 4, 0, 1, 3, 4, 3, 2, 2, 4, 1, 1, 0, 4, 2, 3, 1, 2, 3, 2, 0, 2, 3, 0, 1, 1, 1, 0, 2, 1, 1, 2, 4, 2, 4, 0, 3, 0, 2, 3, 4, 3, 1, 4, 4, 0, 2, 2, 3, 1, 4, 4, 3, 1, 3, 4, 1, 4, 0, 3, 2, 1, 1, 0, 0, 4, 4, 2, 4, 2, 4, 4, 3, 2, 4, 4, 4, 3, 2, 2, 3, 3, 0, 1, 4, 1, 2, 0, 3, 2, 4, 2, 0, 2, 4, 2, 0, 3, 0, 3, 4, 2, 0, 3, 2, 0, 0, 2, 1, 4, 3, 4, 2, 2, 0, 2, 2, 3, 3, 3, 3, 3, 2, 4, 0, 4, 4, 1, 3, 1, 3, 4, 4, 1, 2, 3, 0, 3, 1, 3, 3, 4, 1, 3, 0, 3, 1, 2, 1, 2, 3, 3, 3, 4, 4, 2, 3, 0, 3, 0, 4, 3, 0, 2, 0, 0, 1, 4, 3, 1, 1, 4, 1, 1, 1, 2, 4, 0, 2, 1, 4, 1, 2, 4, 2, 1, 2, 1, 1, 3, 2, 2, 4, 1, 3, 3, 2]
pubkeycol452 = [2, 3, 3, 3, 0, 2, 1, 0, 3, 2, 4, 2, 3, 4, 2, 1, 3, 1, 3, 3, 3, 3, 1, 1, 4, 3, 4, 2, 1, 1, 3, 4, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 3, 0, 2, 3, 4, 2, 1, 4, 0, 0, 2, 0, 1, 3, 0, 0, 4, 4, 2, 3, 0, 2, 3, 3, 3, 2, 4, 1, 3, 4, 2, 0, 0, 0, 2, 0, 2, 0, 3, 2, 4, 2, 0, 4, 3, 1, 0, 0, 3, 0, 0, 3, 4, 2, 4, 0, 4, 4, 3, 2, 2, 3, 0, 0, 2, 1, 2, 0, 4, 1, 4, 1, 3, 2, 1, 0, 2, 3, 1, 1, 0, 1, 4, 1, 3, 0, 1, 2, 3, 1, 2, 0, 1, 1, 4, 4, 4, 0, 2, 2, 3, 1, 3, 3, 2, 4, 4, 1, 0, 2, 3, 1, 0, 1, 4, 2, 0, 4, 3, 1, 0, 2, 1, 2, 0, 1, 0, 0, 3, 3, 4, 1, 1, 2, 2, 2, 1, 4, 1, 0, 3, 0, 0, 3, 4, 2, 4, 1, 4, 3, 3, 4, 4, 2, 1, 3, 2, 1, 0, 3, 2, 4, 0, 3, 0, 3, 2, 0, 1, 4, 1, 2, 4, 1, 2, 3, 1, 4, 3, 1, 3, 4, 2, 3, 0, 0, 3, 3, 4, 0, 3, 2, 1, 2, 2, 2, 1, 2, 4, 4, 3, 4, 4, 0, 1, 2, 2, 4, 2, 0, 4, 2, 0, 1, 2, 4, 1, 4, 0, 0, 3, 1, 3, 3, 2, 4, 2, 2, 1, 2, 0, 3, 4, 3, 4, 3, 4, 0, 3, 4, 3, 2, 0, 4, 2, 2, 4, 2, 3, 2, 3, 2, 0, 1, 3, 0, 3, 4, 3, 0, 1, 4, 1, 1, 4, 4, 1, 0, 2, 0, 1, 1, 3, 3, 3, 0, 3, 0]
pubkeycol453 = [4, 4, 1, 1, 0, 1, 2, 2, 2, 4, 2, 3, 4, 1, 4, 1, 3, 0, 2, 2, 0, 4, 4, 4, 1, 4, 2, 0, 4, 4, 4, 3, 3, 4, 4, 1, 3, 2, 2, 4, 3, 1, 3, 4, 0, 4, 3, 2, 0, 2, 0, 1, 4, 3, 3, 1, 2, 3, 1, 0, 4, 3, 0, 1, 2, 3, 3, 1, 0, 4, 0, 3, 1, 1, 1, 0, 2, 3, 2, 2, 3, 4, 3, 2, 4, 1, 3, 1, 3, 4, 3, 1, 0, 2, 0, 4, 0, 4, 2, 4, 4, 3, 3, 4, 0, 2, 3, 1, 1, 1, 2, 2, 0, 0, 4, 4, 3, 1, 1, 4, 2, 1, 1, 1, 4, 0, 3, 2, 4, 0, 1, 3, 4, 4, 3, 0, 2, 4, 4, 4, 4, 0, 2, 0, 2, 1, 3, 3, 1, 3, 1, 1, 1, 1, 2, 0, 1, 2, 3, 4, 0, 3, 1, 0, 4, 0, 3, 4, 3, 0, 0, 3, 2, 0, 0, 3, 0, 3, 3, 4, 1, 2, 1, 2, 2, 0, 3, 0, 0, 3, 4, 4, 0, 1, 3, 4, 3, 1, 3, 0, 3, 1, 3, 4, 2, 2, 0, 2, 2, 1, 4, 4, 2, 3, 3, 4, 3, 4, 3, 2, 0, 2, 1, 4, 4, 0, 4, 0, 3, 1, 0, 4, 1, 1, 2, 2, 2, 3, 2, 3, 4, 3, 4, 2, 3, 1, 1, 3, 3, 1, 4, 1, 3, 1, 4, 2, 2, 2, 1, 4, 3, 4, 1, 2, 4, 1, 3, 1, 2, 2, 4, 0, 3, 1, 4, 3, 3, 2, 2, 1, 0, 2, 3, 1, 0, 1, 0, 4, 0, 4, 1, 4, 3, 3, 4, 2, 2, 4, 1, 2, 2, 4, 3, 0, 4, 0, 2, 1, 0, 2, 0, 3, 1, 0, 0, 2, 2, 4, 2, 4]
pubkeycol454 = [1, 0, 3, 0, 1, 1, 2, 3, 4, 2, 3, 2, 3, 4, 4, 1, 1, 3, 1, 3, 1, 3, 4, 4, 0, 4, 0, 4, 1, 4, 2, 1, 4, 2, 2, 3, 3, 4, 2, 1, 0, 4, 4, 1, 4, 4, 3, 3, 1, 4, 1, 4, 1, 1, 3, 3, 2, 0, 3, 2, 1, 4, 3, 1, 4, 2, 3, 3, 2, 1, 3, 1, 1, 4, 0, 0, 2, 1, 2, 2, 4, 2, 4, 1, 1, 4, 1, 4, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 4, 0, 0, 0, 3, 3, 1, 4, 4, 3, 1, 2, 4, 0, 4, 3, 4, 2, 0, 3, 2, 3, 0, 4, 1, 0, 4, 3, 3, 4, 4, 2, 0, 0, 4, 1, 2, 4, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 3, 2, 4, 0, 2, 0, 2, 4, 2, 1, 0, 1, 3, 0, 1, 0, 0, 4, 0, 3, 1, 4, 1, 2, 2, 0, 2, 0, 3, 1, 3, 0, 2, 1, 3, 4, 4, 3, 4, 0, 4, 4, 2, 4, 1, 4, 4, 1, 1, 3, 1, 0, 2, 4, 3, 2, 1, 4, 4, 4, 3, 3, 1, 0, 3, 4, 0, 0, 0, 0, 2, 0, 3, 4, 0, 0, 3, 0, 4, 1, 2, 1, 1, 0, 0, 0, 3, 2, 0, 2, 3, 3, 2, 3, 3, 1, 1, 0, 1, 3, 4, 1, 2, 3, 0, 1, 2, 2, 2, 1, 3, 4, 0, 0, 3, 3, 3, 3, 1, 2, 1, 0, 3, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 3, 2, 3, 1, 2, 3, 3, 3, 2, 3, 4, 2, 0, 0, 3, 3, 2, 3, 2, 3, 0, 4, 3, 3, 2, 0, 0, 1, 4, 2, 3, 4, 4, 3, 2, 4, 0, 4]
pubkeycol455 = [4, 2, 0, 4, 0, 0, 1, 2, 3, 1, 0, 3, 4, 1, 3, 0, 2, 4, 3, 1, 2, 4, 1, 4, 0, 0, 0, 3, 2, 3, 1, 0, 3, 2, 3, 1, 3, 0, 2, 1, 4, 3, 3, 3, 1, 0, 4, 1, 4, 0, 0, 3, 2, 4, 1, 0, 2, 0, 0, 0, 1, 0, 3, 3, 1, 0, 1, 4, 3, 2, 2, 4, 1, 3, 0, 4, 4, 0, 2, 2, 2, 1, 4, 1, 1, 2, 0, 4, 3, 2, 3, 3, 2, 4, 2, 2, 3, 0, 1, 2, 2, 3, 0, 3, 2, 3, 0, 3, 1, 4, 0, 1, 3, 0, 3, 2, 1, 3, 3, 4, 3, 1, 3, 1, 0, 0, 2, 3, 3, 0, 0, 2, 1, 4, 1, 0, 1, 2, 4, 3, 3, 4, 2, 3, 0, 3, 3, 2, 1, 0, 1, 4, 1, 3, 0, 2, 1, 3, 1, 0, 0, 0, 2, 0, 3, 0, 1, 3, 1, 1, 2, 2, 0, 0, 3, 4, 0, 3, 3, 2, 3, 3, 1, 3, 2, 4, 1, 3, 1, 3, 0, 4, 2, 4, 2, 0, 0, 3, 3, 1, 0, 1, 3, 3, 2, 4, 0, 3, 0, 1, 4, 3, 1, 0, 1, 4, 0, 4, 2, 0, 3, 0, 2, 3, 3, 3, 3, 3, 2, 1, 2, 0, 2, 4, 2, 1, 4, 3, 1, 3, 3, 4, 2, 1, 4, 2, 0, 0, 1, 1, 4, 4, 0, 4, 2, 4, 4, 4, 1, 4, 2, 0, 4, 0, 3, 0, 0, 1, 2, 2, 2, 1, 3, 3, 3, 1, 0, 3, 0, 4, 0, 3, 4, 3, 2, 4, 4, 0, 3, 2, 1, 1, 0, 3, 3, 1, 3, 1, 1, 2, 1, 1, 3, 2, 0, 1, 4, 4, 3, 0, 3, 0, 4, 1, 3, 4, 0, 1, 0, 4]
pubkeycol456 = [3, 4, 2, 3, 2, 0, 0, 1, 3, 3, 1, 2, 4, 2, 2, 0, 0, 1, 3, 0, 4, 3, 4, 4, 3, 1, 2, 0, 4, 2, 1, 0, 2, 1, 2, 1, 3, 2, 3, 2, 0, 2, 1, 4, 2, 0, 4, 0, 2, 0, 2, 3, 1, 3, 0, 1, 3, 1, 0, 3, 4, 1, 1, 3, 0, 3, 2, 2, 0, 0, 3, 4, 4, 4, 4, 1, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 4, 4, 4, 3, 1, 0, 1, 3, 4, 4, 0, 0, 2, 1, 0, 4, 0, 4, 2, 4, 3, 4, 0, 3, 0, 4, 0, 1, 4, 1, 3, 3, 3, 2, 4, 4, 0, 4, 0, 1, 3, 2, 0, 1, 4, 2, 3, 3, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 3, 0, 4, 3, 2, 3, 1, 0, 0, 3, 0, 1, 0, 2, 4, 0, 4, 0, 2, 3, 2, 1, 1, 2, 4, 1, 1, 0, 4, 1, 3, 4, 4, 0, 1, 1, 3, 4, 2, 1, 2, 0, 2, 0, 0, 3, 2, 3, 1, 1, 3, 0, 4, 0, 3, 2, 0, 2, 1, 2, 0, 3, 2, 2, 1, 0, 1, 3, 0, 1, 1, 3, 3, 1, 0, 0, 3, 1, 0, 1, 0, 1, 2, 4, 2, 0, 4, 4, 3, 2, 0, 3, 4, 3, 0, 4, 4, 4, 4, 2, 0, 3, 2, 3, 2, 2, 2, 4, 1, 1, 0, 0, 2, 4, 3, 2, 0, 4, 1, 1, 1, 1, 4, 3, 4, 4, 2, 3, 1, 2, 4, 4, 2, 1, 2, 2, 2, 2, 0, 4, 2, 4, 3, 2, 1, 0, 1, 0, 1, 1, 4, 4, 3, 1, 4, 4, 3, 1, 0, 4, 2, 1, 1, 4, 4, 3, 0, 1, 0, 4, 2, 1, 0, 1]
pubkeycol457 = [3, 0, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 3, 3, 4, 2, 4, 4, 4, 1, 4, 4, 2, 4, 3, 0, 4, 0, 0, 0, 4, 4, 2, 0, 1, 3, 2, 3, 3, 4, 1, 2, 0, 3, 3, 2, 1, 4, 0, 1, 4, 2, 0, 2, 1, 1, 4, 0, 0, 2, 3, 3, 1, 0, 2, 1, 3, 0, 3, 4, 0, 2, 1, 3, 4, 3, 0, 3, 3, 4, 4, 3, 0, 4, 2, 2, 0, 0, 2, 2, 3, 4, 0, 4, 4, 4, 3, 2, 3, 3, 0, 4, 2, 2, 1, 1, 2, 2, 4, 4, 0, 3, 4, 4, 4, 0, 3, 4, 1, 1, 1, 4, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 3, 1, 2, 3, 4, 2, 3, 1, 3, 2, 3, 0, 1, 3, 3, 3, 3, 3, 4, 1, 1, 0, 1, 0, 2, 4, 3, 4, 0, 0, 2, 3, 1, 2, 3, 2, 4, 2, 4, 1, 3, 2, 4, 3, 3, 1, 1, 0, 3, 4, 2, 1, 1, 3, 0, 0, 0, 4, 0, 3, 3, 3, 1, 1, 0, 3, 2, 1, 4, 0, 4, 4, 4, 4, 0, 2, 3, 0, 1, 2, 0, 1, 4, 1, 0, 1, 0, 3, 4, 3, 2, 4, 0, 1, 4, 2, 1, 4, 0, 2, 2, 0, 3, 4, 3, 1, 4, 4, 3, 4, 2, 3, 3, 3, 0, 0, 0, 3, 4, 0, 1, 4, 0, 2, 2, 0, 2, 3, 4, 4, 3, 4, 1, 2, 2, 0, 4, 4, 1, 4, 4, 4, 1, 1, 0, 4, 4, 4, 4, 4, 2, 0, 4, 1, 3, 2, 2, 0, 2, 4, 2, 1, 4, 3, 1, 0, 2, 0, 4, 4, 0, 1, 4, 4, 0, 3, 0, 3, 4, 3, 4, 0, 2, 0, 0, 2, 0, 0]
pubkeycol458 = [4, 0, 1, 0, 1, 1, 4, 3, 2, 0, 3, 1, 0, 3, 1, 4, 2, 2, 2, 3, 4, 1, 2, 0, 1, 3, 1, 3, 1, 2, 3, 3, 0, 3, 3, 1, 3, 1, 1, 0, 0, 3, 0, 0, 3, 3, 2, 1, 2, 4, 1, 1, 4, 4, 1, 2, 1, 4, 2, 4, 4, 3, 3, 3, 2, 1, 1, 3, 1, 3, 2, 2, 4, 4, 0, 3, 4, 1, 1, 2, 2, 0, 2, 2, 4, 4, 2, 4, 4, 4, 1, 1, 0, 0, 3, 2, 1, 4, 1, 4, 4, 1, 1, 1, 0, 1, 2, 4, 3, 2, 4, 1, 0, 0, 3, 4, 3, 4, 1, 0, 3, 0, 0, 3, 0, 3, 0, 1, 2, 4, 4, 1, 2, 2, 4, 3, 2, 0, 3, 1, 3, 4, 0, 3, 2, 0, 2, 4, 2, 1, 0, 1, 0, 2, 4, 3, 0, 2, 0, 2, 0, 4, 0, 1, 2, 2, 1, 1, 4, 4, 2, 4, 1, 3, 2, 4, 4, 4, 3, 4, 3, 2, 4, 1, 1, 0, 1, 3, 3, 3, 4, 4, 1, 3, 1, 3, 1, 0, 4, 0, 3, 0, 1, 4, 4, 4, 0, 1, 3, 2, 2, 4, 2, 1, 2, 1, 1, 2, 4, 1, 4, 2, 1, 3, 4, 0, 3, 4, 1, 1, 1, 1, 2, 3, 1, 2, 0, 4, 3, 2, 0, 0, 2, 1, 2, 3, 4, 3, 3, 1, 2, 2, 4, 0, 4, 4, 3, 3, 1, 2, 2, 1, 1, 0, 3, 1, 3, 0, 4, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 4, 3, 3, 4, 4, 1, 3, 3, 1, 4, 2, 2, 2, 1, 1, 4, 4, 0, 1, 4, 4, 1, 0, 0, 2, 0, 0, 0, 0, 4, 2, 1, 1, 3, 4, 2]
pubkeycol459 = [3, 4, 3, 3, 0, 1, 4, 4, 4, 4, 2, 0, 2, 3, 1, 3, 3, 0, 1, 0, 0, 1, 3, 4, 3, 1, 1, 4, 3, 2, 0, 0, 3, 3, 4, 4, 4, 4, 2, 0, 3, 1, 0, 2, 1, 0, 0, 1, 1, 4, 2, 0, 0, 0, 2, 3, 1, 3, 2, 2, 1, 4, 2, 4, 1, 0, 2, 2, 2, 1, 2, 2, 0, 3, 1, 0, 0, 3, 2, 4, 3, 4, 2, 1, 1, 2, 0, 2, 2, 4, 2, 4, 4, 2, 0, 0, 1, 0, 4, 4, 3, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 2, 4, 3, 2, 2, 4, 1, 2, 4, 3, 4, 4, 3, 4, 3, 2, 2, 4, 1, 4, 3, 0, 2, 2, 3, 0, 4, 4, 2, 1, 2, 1, 1, 3, 2, 2, 2, 2, 1, 2, 4, 3, 0, 3, 2, 4, 3, 0, 0, 1, 3, 1, 2, 4, 1, 4, 3, 1, 1, 0, 1, 4, 3, 4, 4, 1, 0, 4, 2, 3, 2, 4, 3, 0, 1, 1, 0, 3, 3, 3, 2, 0, 1, 0, 2, 2, 1, 0, 2, 3, 0, 0, 0, 0, 2, 2, 3, 3, 2, 4, 3, 0, 1, 2, 4, 1, 0, 4, 3, 1, 4, 2, 0, 3, 2, 0, 0, 4, 3, 0, 3, 3, 2, 4, 0, 4, 3, 4, 0, 0, 0, 0, 4, 1, 2, 1, 3, 4, 0, 3, 3, 2, 0, 3, 0, 0, 4, 0, 3, 4, 0, 4, 1, 1, 1, 3, 1, 4, 0, 2, 4, 4, 2, 2, 0, 1, 4, 2, 0, 2, 1, 4, 2, 0, 3, 2, 1, 0, 0, 4, 0, 1, 3, 1, 0, 0, 2, 0, 4, 2, 0, 0, 1, 3, 3, 1, 2, 4, 1, 3, 3, 4, 0, 4, 3, 4, 2, 4, 1]
pubkeycol460 = [3, 4, 2, 4, 2, 0, 4, 0, 3, 1, 2, 1, 1, 0, 4, 1, 4, 3, 4, 1, 3, 1, 3, 4, 0, 2, 1, 0, 1, 3, 2, 1, 1, 4, 3, 1, 0, 4, 0, 0, 0, 4, 3, 4, 2, 2, 0, 2, 1, 2, 3, 1, 0, 4, 0, 0, 3, 3, 1, 2, 2, 2, 1, 0, 0, 3, 3, 0, 3, 1, 3, 0, 0, 3, 1, 2, 0, 0, 0, 4, 3, 2, 2, 2, 0, 1, 1, 2, 3, 2, 0, 2, 2, 0, 1, 1, 2, 4, 4, 0, 3, 0, 2, 2, 3, 4, 4, 0, 0, 2, 4, 3, 2, 0, 1, 0, 3, 1, 1, 1, 2, 1, 3, 4, 4, 3, 3, 0, 3, 0, 2, 1, 3, 0, 3, 3, 1, 1, 2, 4, 1, 3, 3, 0, 3, 4, 3, 1, 4, 2, 2, 1, 0, 1, 4, 4, 4, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 3, 0, 3, 2, 3, 2, 4, 1, 2, 0, 0, 1, 0, 2, 0, 2, 4, 2, 2, 4, 3, 3, 0, 1, 3, 1, 0, 2, 3, 4, 4, 1, 4, 2, 1, 2, 1, 4, 3, 3, 4, 0, 4, 4, 0, 4, 0, 1, 2, 4, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 2, 2, 1, 1, 3, 1, 0, 3, 2, 3, 1, 3, 3, 4, 0, 3, 1, 4, 0, 0, 2, 4, 2, 0, 3, 1, 2, 4, 1, 3, 2, 1, 4, 0, 4, 4, 0, 3, 4, 0, 1, 0, 1, 1, 2, 4, 4, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 4, 3, 2, 3, 1, 3, 4, 4, 4, 2, 3, 4, 3, 1, 3, 0, 3, 1, 1, 0, 2, 0, 4, 1, 2, 2, 0, 2, 3, 2, 1]
pubkeycol461 = [2, 4, 0, 1, 1, 1, 4, 1, 1, 0, 2, 2, 2, 0, 2, 0, 4, 3, 1, 3, 4, 0, 3, 1, 0, 4, 4, 2, 2, 0, 2, 4, 0, 1, 2, 1, 2, 1, 2, 1, 4, 3, 3, 4, 0, 1, 3, 3, 2, 4, 3, 2, 2, 3, 2, 4, 0, 1, 0, 4, 1, 4, 0, 2, 4, 3, 0, 4, 2, 4, 1, 2, 4, 0, 4, 0, 0, 2, 1, 0, 1, 1, 1, 3, 3, 4, 2, 4, 3, 3, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 4, 3, 4, 2, 2, 4, 3, 3, 4, 0, 0, 0, 3, 3, 4, 1, 0, 3, 3, 4, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 4, 2, 1, 3, 3, 2, 0, 3, 3, 1, 3, 2, 0, 0, 4, 0, 1, 1, 2, 0, 3, 0, 1, 0, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 1, 4, 1, 2, 0, 4, 3, 1, 0, 0, 3, 4, 1, 3, 4, 4, 2, 1, 2, 0, 1, 1, 0, 1, 0, 3, 2, 2, 0, 2, 4, 1, 0, 1, 2, 4, 0, 4, 0, 1, 4, 3, 0, 0, 0, 4, 4, 3, 0, 3, 3, 0, 1, 1, 4, 3, 3, 2, 2, 2, 1, 0, 1, 4, 3, 4, 4, 4, 1, 2, 2, 2, 2, 3, 1, 4, 4, 1, 1, 4, 3, 2, 2, 2, 0, 1, 2, 1, 3, 1, 1, 1, 0, 4, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 4, 4, 2, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 4, 1, 3, 2, 1, 4, 4, 4, 4, 2, 1, 0, 3, 1, 4, 0, 4, 3, 2, 1, 3, 3, 1, 0, 4, 0, 3, 0, 2, 1]
pubkeycol462 = [1, 2, 2, 2, 4, 3, 0, 2, 1, 0, 0, 4, 0, 0, 0, 2, 3, 4, 0, 4, 1, 2, 3, 0, 4, 4, 2, 0, 0, 3, 3, 3, 2, 1, 4, 3, 2, 1, 1, 1, 2, 1, 1, 2, 0, 4, 0, 0, 4, 2, 1, 0, 2, 1, 2, 4, 4, 2, 2, 2, 0, 2, 4, 2, 4, 0, 3, 3, 2, 1, 4, 3, 0, 1, 2, 4, 2, 1, 3, 4, 3, 1, 1, 3, 0, 0, 2, 0, 0, 1, 4, 2, 3, 3, 1, 2, 2, 0, 1, 3, 1, 1, 3, 0, 2, 4, 0, 4, 2, 0, 2, 2, 2, 4, 2, 0, 2, 1, 2, 2, 3, 4, 0, 1, 0, 2, 2, 3, 4, 4, 3, 4, 2, 2, 1, 2, 0, 0, 1, 3, 4, 2, 4, 4, 2, 2, 1, 1, 4, 2, 2, 2, 4, 3, 3, 1, 3, 4, 4, 3, 2, 4, 2, 2, 4, 2, 1, 0, 2, 4, 2, 2, 4, 0, 3, 0, 4, 1, 4, 2, 0, 0, 4, 2, 2, 1, 2, 2, 3, 1, 0, 3, 3, 3, 3, 4, 2, 1, 3, 4, 1, 2, 2, 3, 1, 2, 0, 2, 2, 3, 2, 2, 4, 4, 2, 0, 3, 2, 1, 1, 0, 3, 2, 3, 4, 1, 2, 0, 3, 2, 0, 0, 1, 3, 1, 2, 3, 2, 4, 3, 3, 3, 2, 0, 3, 3, 2, 1, 3, 0, 1, 3, 4, 1, 4, 2, 4, 4, 4, 4, 0, 1, 4, 0, 0, 0, 0, 3, 2, 4, 2, 3, 0, 0, 0, 1, 4, 3, 3, 2, 0, 3, 2, 0, 0, 2, 2, 4, 0, 1, 2, 3, 4, 3, 4, 3, 1, 4, 4, 1, 4, 2, 1, 1, 3, 0, 4, 1, 0, 1, 1, 4, 3, 1, 3, 3, 2, 1, 2, 1]
pubkeycol463 = [1, 2, 3, 4, 1, 0, 4, 4, 2, 3, 1, 1, 3, 1, 3, 4, 2, 0, 1, 3, 0, 1, 1, 3, 4, 0, 2, 0, 3, 1, 0, 0, 1, 2, 1, 1, 4, 1, 3, 4, 4, 4, 2, 0, 4, 0, 4, 0, 3, 0, 4, 2, 4, 2, 2, 4, 2, 3, 2, 3, 4, 2, 3, 0, 4, 1, 0, 3, 0, 4, 0, 0, 4, 0, 4, 1, 2, 3, 3, 4, 4, 3, 2, 2, 4, 2, 4, 3, 4, 0, 3, 3, 4, 4, 2, 4, 1, 1, 4, 0, 4, 2, 0, 1, 0, 1, 3, 3, 3, 4, 1, 0, 3, 0, 0, 2, 1, 1, 4, 2, 1, 0, 1, 2, 0, 0, 4, 0, 1, 1, 4, 4, 1, 2, 0, 2, 3, 4, 0, 3, 2, 2, 4, 4, 3, 3, 2, 1, 2, 1, 3, 2, 2, 1, 2, 4, 2, 3, 0, 0, 3, 2, 0, 3, 2, 3, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 3, 2, 0, 3, 4, 3, 0, 1, 0, 4, 4, 3, 3, 4, 0, 3, 1, 2, 4, 1, 3, 2, 4, 0, 0, 1, 2, 1, 2, 0, 4, 2, 1, 1, 0, 4, 3, 2, 4, 4, 4, 2, 2, 3, 0, 4, 1, 3, 1, 4, 3, 3, 0, 1, 0, 3, 4, 4, 2, 2, 2, 4, 2, 4, 0, 4, 4, 1, 1, 3, 3, 0, 1, 1, 3, 4, 4, 0, 2, 4, 2, 0, 1, 2, 4, 1, 0, 0, 0, 0, 0, 1, 3, 0, 4, 0, 0, 1, 4, 2, 1, 3, 3, 0, 0, 0, 2, 3, 3, 0, 3, 4, 0, 1, 1, 3, 1, 3, 4, 0, 4, 3, 3, 4, 2, 4, 4, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 3, 0, 2, 3]
pubkeycol464 = [1, 3, 3, 4, 1, 4, 4, 2, 0, 2, 4, 2, 0, 2, 0, 1, 2, 4, 1, 4, 3, 0, 4, 1, 4, 0, 1, 3, 4, 0, 3, 4, 2, 3, 2, 3, 3, 1, 3, 1, 0, 3, 3, 3, 2, 2, 2, 3, 0, 1, 1, 3, 0, 2, 4, 2, 3, 1, 4, 4, 4, 3, 0, 3, 1, 3, 3, 4, 3, 1, 2, 2, 2, 0, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 4, 3, 2, 1, 1, 4, 3, 4, 0, 1, 1, 3, 2, 1, 3, 3, 1, 4, 2, 0, 2, 0, 0, 1, 1, 3, 3, 0, 3, 3, 4, 3, 2, 4, 3, 2, 3, 3, 0, 0, 4, 3, 4, 0, 2, 3, 3, 2, 2, 3, 0, 4, 3, 1, 2, 3, 4, 0, 4, 0, 0, 1, 1, 3, 0, 4, 1, 4, 4, 1, 0, 2, 2, 4, 3, 1, 4, 0, 0, 3, 2, 2, 4, 2, 3, 2, 3, 0, 3, 4, 3, 2, 3, 2, 4, 0, 2, 0, 4, 4, 3, 4, 2, 2, 4, 1, 1, 3, 4, 3, 2, 3, 1, 2, 0, 4, 2, 2, 4, 3, 0, 0, 1, 3, 3, 4, 4, 4, 3, 1, 3, 1, 1, 3, 2, 3, 2, 1, 1, 1, 4, 3, 4, 4, 4, 3, 1, 3, 0, 1, 0, 2, 2, 4, 0, 4, 1, 2, 2, 0, 1, 2, 4, 2, 3, 4, 1, 3, 0, 4, 3, 4, 4, 3, 3, 4, 1, 2, 4, 2, 1, 2, 2, 0, 2, 0, 4, 0, 1, 2, 2, 1, 1, 3, 0, 1, 1, 4, 4, 0, 4, 0, 3, 1, 4, 2, 0, 3, 0, 0, 2, 4, 1, 2, 4, 1, 3, 0, 4, 1, 0, 4, 1, 1, 3, 4, 0, 3, 0, 1, 1, 1, 2, 3, 2, 4]
pubkeycol465 = [0, 0, 4, 2, 3, 2, 0, 4, 2, 0, 1, 4, 3, 2, 3, 4, 2, 1, 3, 2, 0, 4, 4, 3, 2, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 3, 4, 3, 0, 2, 0, 4, 0, 4, 3, 4, 1, 1, 3, 3, 4, 2, 0, 0, 1, 2, 4, 1, 1, 2, 3, 1, 3, 2, 1, 4, 0, 1, 1, 4, 1, 4, 4, 1, 0, 2, 1, 1, 0, 3, 3, 4, 2, 4, 1, 3, 4, 0, 1, 1, 3, 2, 0, 1, 0, 2, 4, 0, 3, 0, 4, 3, 0, 2, 2, 3, 0, 1, 1, 0, 3, 4, 2, 3, 4, 3, 2, 3, 3, 0, 4, 4, 1, 4, 4, 2, 3, 0, 0, 4, 1, 1, 4, 1, 0, 0, 1, 4, 2, 4, 3, 3, 4, 2, 2, 3, 2, 0, 3, 0, 1, 0, 4, 0, 0, 3, 1, 3, 0, 3, 4, 1, 2, 3, 4, 0, 3, 0, 4, 1, 0, 2, 0, 4, 2, 4, 4, 0, 1, 3, 4, 0, 3, 4, 2, 4, 4, 0, 2, 3, 2, 1, 1, 3, 3, 4, 4, 3, 1, 0, 3, 0, 4, 4, 0, 0, 0, 4, 3, 2, 1, 2, 2, 0, 0, 4, 0, 0, 2, 1, 1, 1, 0, 3, 4, 2, 4, 1, 4, 2, 1, 1, 0, 3, 0, 1, 0, 1, 3, 3, 1, 3, 1, 4, 0, 2, 2, 0, 3, 2, 4, 1, 4, 4, 0, 2, 3, 2, 0, 0, 0, 1, 1, 3, 0, 2, 4, 3, 4, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 4, 2, 1, 1, 0, 0, 3, 3, 1, 0, 0, 2, 4, 2, 1, 4, 4, 4, 2, 1, 3, 2, 3, 0, 2, 1, 0, 3, 1, 3, 1, 1, 1, 3, 4, 3, 3, 0, 0, 2]
pubkeycol466 = [2, 2, 4, 2, 3, 1, 2, 4, 3, 2, 4, 0, 0, 0, 3, 4, 3, 1, 4, 2, 0, 4, 1, 0, 2, 2, 3, 4, 3, 4, 2, 2, 2, 0, 4, 1, 0, 3, 1, 0, 1, 2, 4, 3, 3, 4, 4, 2, 1, 1, 4, 2, 4, 0, 0, 1, 1, 1, 3, 3, 2, 1, 0, 4, 0, 2, 4, 2, 0, 0, 0, 3, 3, 3, 1, 3, 0, 1, 0, 0, 1, 1, 3, 4, 2, 1, 2, 0, 2, 1, 1, 1, 4, 0, 2, 1, 2, 0, 4, 0, 0, 4, 3, 4, 2, 1, 1, 2, 1, 1, 4, 3, 2, 2, 4, 4, 3, 1, 2, 3, 1, 3, 1, 1, 3, 1, 1, 2, 4, 0, 2, 1, 4, 2, 1, 0, 1, 2, 0, 0, 4, 4, 4, 3, 0, 0, 4, 4, 0, 0, 4, 3, 3, 4, 4, 3, 0, 1, 0, 1, 1, 1, 0, 3, 4, 4, 3, 3, 2, 1, 0, 1, 0, 0, 4, 3, 2, 2, 4, 2, 1, 4, 0, 0, 4, 0, 4, 1, 2, 0, 3, 0, 1, 3, 3, 4, 2, 4, 4, 2, 1, 2, 2, 0, 3, 3, 1, 0, 1, 1, 2, 3, 1, 4, 2, 1, 0, 0, 2, 0, 4, 3, 2, 4, 0, 2, 3, 1, 3, 2, 0, 3, 0, 1, 4, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 3, 4, 0, 1, 1, 3, 1, 1, 1, 0, 2, 4, 0, 2, 3, 4, 0, 0, 1, 2, 3, 3, 1, 0, 0, 2, 1, 3, 0, 4, 1, 3, 3, 0, 3, 3, 2, 0, 2, 0, 3, 2, 4, 2, 0, 2, 0, 3, 2, 0, 0, 2, 3, 2, 2, 1, 1, 2, 0, 2, 2, 3, 2, 2, 0, 0, 0, 3, 0, 4, 0]
pubkeycol467 = [4, 0, 1, 3, 4, 3, 4, 4, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 0, 3, 2, 4, 3, 1, 0, 4, 0, 1, 3, 1, 0, 4, 0, 1, 0, 3, 1, 0, 3, 0, 4, 4, 0, 4, 3, 3, 2, 3, 4, 2, 4, 2, 0, 3, 3, 0, 2, 4, 1, 0, 2, 0, 3, 4, 3, 1, 4, 1, 2, 1, 1, 1, 1, 0, 3, 1, 3, 0, 2, 4, 2, 3, 0, 2, 3, 2, 3, 4, 1, 2, 2, 3, 1, 3, 3, 1, 3, 2, 2, 3, 4, 2, 1, 4, 0, 2, 3, 2, 1, 0, 4, 0, 4, 1, 3, 4, 0, 3, 1, 3, 0, 3, 2, 1, 1, 3, 2, 2, 4, 0, 2, 4, 4, 1, 3, 4, 0, 0, 1, 0, 4, 4, 0, 2, 2, 3, 0, 2, 3, 2, 2, 2, 2, 0, 0, 2, 4, 2, 0, 0, 4, 4, 0, 2, 4, 2, 1, 3, 4, 1, 4, 0, 3, 4, 4, 4, 3, 3, 1, 2, 1, 4, 0, 4, 2, 1, 0, 0, 0, 1, 1, 0, 0, 4, 4, 0, 3, 2, 3, 3, 1, 3, 1, 4, 4, 2, 3, 0, 4, 0, 3, 2, 4, 1, 4, 4, 1, 1, 4, 4, 3, 4, 4, 3, 2, 4, 0, 3, 0, 1, 2, 3, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 3, 1, 1, 3, 0, 4, 0, 1, 1, 3, 0, 0, 2, 2, 4, 2, 2, 4, 0, 1, 0, 2, 4, 2, 0, 1, 2, 0, 0, 1, 1, 0, 4, 0, 4, 4, 3, 0, 1, 0, 0, 0, 1, 0, 3, 1, 4, 1, 3, 2, 2, 3, 1, 4, 0, 0, 3, 2, 4, 3, 3, 4, 2, 4, 4, 2, 4, 3, 1, 0, 0, 3, 1, 2, 3, 3, 4]
pubkeycol468 = [4, 1, 0, 3, 4, 3, 4, 3, 4, 0, 0, 4, 2, 3, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 2, 2, 3, 0, 2, 0, 1, 0, 0, 2, 0, 4, 3, 2, 4, 4, 4, 3, 1, 4, 3, 1, 0, 4, 0, 3, 3, 1, 2, 3, 0, 0, 1, 1, 1, 2, 3, 3, 1, 0, 3, 3, 0, 4, 0, 4, 3, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 3, 4, 4, 2, 4, 2, 2, 0, 0, 2, 3, 0, 3, 4, 3, 2, 2, 3, 2, 3, 1, 4, 1, 2, 2, 3, 2, 1, 4, 4, 2, 4, 0, 4, 2, 2, 1, 3, 1, 4, 4, 3, 4, 2, 4, 1, 1, 1, 4, 0, 4, 2, 1, 3, 4, 3, 1, 0, 1, 0, 1, 1, 4, 3, 3, 2, 0, 4, 3, 1, 4, 3, 1, 3, 3, 4, 3, 4, 1, 2, 3, 3, 0, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 1, 3, 1, 2, 2, 3, 4, 3, 3, 3, 3, 0, 4, 1, 2, 2, 1, 2, 4, 1, 0, 1, 2, 3, 3, 0, 2, 4, 1, 4, 3, 1, 1, 1, 0, 4, 2, 1, 1, 1, 3, 3, 2, 3, 0, 1, 0, 0, 1, 1, 4, 4, 3, 0, 2, 1, 2, 3, 3, 4, 3, 4, 1, 3, 1, 2, 4, 0, 1, 4, 3, 4, 2, 4, 4, 4, 2, 3, 2, 4, 4, 3, 0, 4, 4, 3, 2, 1, 1, 0, 3, 1, 3, 2, 2, 4, 3, 2, 1, 2, 1, 1, 2, 2, 3, 2, 4, 2, 2, 3, 2, 4, 4, 2, 1, 2, 3, 0, 4, 1, 4, 4, 1, 3, 2, 4, 0, 4, 1, 3, 0, 1, 2, 3]
pubkeycol469 = [0, 3, 3, 4, 1, 4, 1, 0, 4, 1, 0, 4, 2, 0, 4, 0, 4, 3, 4, 1, 1, 3, 1, 2, 0, 0, 1, 4, 4, 0, 2, 0, 3, 2, 1, 1, 3, 1, 4, 4, 4, 1, 3, 2, 0, 4, 1, 3, 1, 2, 1, 4, 2, 0, 4, 0, 0, 0, 1, 1, 1, 3, 1, 0, 2, 4, 2, 2, 3, 4, 0, 1, 1, 1, 1, 4, 0, 0, 3, 2, 0, 1, 3, 2, 4, 4, 0, 3, 1, 4, 0, 3, 0, 1, 0, 1, 0, 1, 0, 3, 0, 4, 1, 3, 2, 4, 0, 4, 0, 3, 2, 4, 1, 0, 4, 0, 2, 4, 1, 3, 1, 1, 1, 3, 2, 4, 3, 2, 3, 2, 4, 1, 4, 0, 3, 3, 3, 3, 0, 1, 3, 0, 3, 4, 2, 1, 0, 1, 4, 3, 2, 3, 1, 1, 0, 4, 1, 4, 0, 1, 4, 3, 2, 4, 1, 4, 1, 2, 0, 2, 4, 1, 3, 1, 0, 2, 2, 2, 3, 1, 3, 3, 2, 3, 0, 2, 2, 1, 4, 1, 3, 0, 2, 1, 4, 2, 3, 3, 1, 3, 4, 2, 2, 0, 0, 3, 1, 3, 4, 2, 4, 3, 3, 1, 4, 1, 1, 4, 3, 3, 0, 3, 3, 4, 0, 4, 0, 3, 3, 4, 4, 2, 4, 1, 1, 2, 0, 4, 0, 1, 0, 1, 3, 1, 4, 4, 0, 4, 4, 1, 1, 2, 0, 2, 1, 4, 2, 2, 3, 3, 0, 0, 3, 4, 4, 0, 1, 3, 1, 4, 4, 3, 3, 3, 4, 3, 4, 2, 4, 3, 4, 4, 0, 1, 4, 1, 0, 4, 3, 0, 2, 4, 4, 2, 3, 4, 3, 0, 1, 0, 2, 4, 4, 4, 0, 0, 3, 1, 2, 4, 4, 1, 3, 1, 2, 1, 1, 1, 1, 3]
pubkeycol470 = [3, 2, 0, 1, 0, 0, 2, 2, 4, 3, 4, 0, 0, 3, 3, 4, 0, 1, 3, 1, 1, 1, 0, 1, 3, 4, 1, 2, 3, 1, 3, 1, 0, 3, 4, 1, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 0, 4, 3, 4, 1, 2, 2, 2, 4, 1, 0, 4, 3, 0, 2, 0, 4, 4, 0, 3, 0, 3, 4, 4, 1, 3, 1, 0, 2, 3, 4, 3, 1, 2, 0, 3, 1, 3, 4, 3, 2, 2, 2, 1, 2, 2, 4, 0, 1, 0, 2, 3, 1, 0, 2, 1, 0, 0, 1, 4, 3, 1, 0, 0, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 3, 0, 1, 3, 2, 0, 0, 1, 2, 4, 4, 2, 4, 3, 2, 4, 1, 4, 2, 2, 3, 3, 1, 4, 3, 3, 1, 2, 4, 0, 1, 1, 0, 3, 0, 3, 2, 0, 3, 4, 3, 3, 3, 3, 2, 3, 0, 0, 0, 0, 1, 3, 3, 0, 3, 3, 0, 0, 2, 4, 2, 2, 2, 3, 2, 0, 1, 4, 4, 4, 2, 4, 3, 1, 3, 1, 0, 0, 1, 3, 4, 2, 2, 4, 0, 2, 3, 1, 4, 4, 4, 4, 0, 2, 2, 0, 0, 4, 2, 2, 4, 2, 4, 2, 3, 3, 3, 2, 1, 0, 2, 1, 2, 1, 4, 3, 1, 3, 2, 2, 3, 2, 4, 1, 0, 1, 3, 4, 1, 2, 4, 4, 1, 1, 4, 0, 1, 4, 0, 3, 3, 1, 4, 1, 2, 0, 0, 1, 3, 1, 4, 1, 4, 4, 0, 1, 2, 2, 4, 1, 1, 2, 2, 4, 1, 2, 2, 3, 1, 1, 0, 4, 3, 1, 0, 1, 2, 4, 1, 1, 1, 3, 1, 0, 1, 1, 1, 0, 1, 3, 3, 4, 3, 0, 2, 2, 4, 3, 2, 0]
pubkeycol471 = [2, 0, 0, 1, 4, 1, 1, 2, 1, 2, 2, 4, 2, 0, 1, 0, 2, 0, 3, 0, 2, 3, 4, 3, 3, 0, 4, 2, 2, 1, 1, 2, 0, 4, 1, 3, 4, 0, 1, 0, 3, 1, 1, 0, 3, 4, 2, 3, 3, 1, 3, 0, 2, 3, 3, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 1, 1, 4, 2, 0, 0, 3, 0, 4, 3, 4, 2, 0, 3, 3, 3, 3, 4, 2, 2, 2, 3, 0, 1, 3, 1, 4, 2, 0, 2, 3, 2, 3, 2, 3, 2, 1, 1, 0, 4, 2, 3, 0, 0, 1, 0, 0, 3, 2, 0, 0, 0, 2, 3, 0, 3, 2, 0, 4, 3, 3, 2, 3, 1, 0, 2, 1, 3, 0, 0, 2, 1, 1, 4, 0, 4, 2, 4, 0, 4, 2, 3, 2, 0, 3, 0, 4, 4, 4, 0, 0, 3, 2, 1, 4, 2, 1, 0, 2, 1, 4, 2, 0, 4, 1, 2, 3, 3, 4, 0, 1, 4, 4, 3, 0, 3, 3, 2, 1, 3, 1, 0, 1, 2, 4, 3, 3, 1, 4, 4, 2, 3, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 3, 3, 2, 3, 0, 1, 2, 0, 1, 3, 0, 2, 1, 3, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 4, 0, 3, 2, 2, 1, 3, 1, 3, 1, 1, 4, 1, 1, 4, 0, 3, 1, 2, 3, 2, 1, 0, 0, 1, 0, 0, 1, 2, 3, 3, 0, 2, 3, 4, 2, 1, 1, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3, 1, 2, 4, 1, 4, 2, 4, 2, 2, 1, 3, 2, 2, 2, 3, 1, 4, 0, 0, 2, 4, 2, 3, 1, 1, 4, 0, 3, 3, 2, 4, 0, 3, 1, 3, 2, 0, 0]
pubkeycol472 = [2, 0, 1, 0, 3, 0, 1, 0, 3, 4, 4, 1, 3, 0, 4, 1, 2, 3, 4, 0, 4, 3, 4, 3, 3, 0, 4, 3, 3, 0, 4, 3, 0, 4, 1, 1, 2, 2, 4, 3, 2, 3, 2, 4, 4, 2, 0, 3, 4, 0, 0, 3, 4, 3, 1, 3, 2, 0, 2, 1, 0, 4, 1, 0, 3, 3, 2, 2, 4, 1, 1, 2, 4, 4, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 4, 2, 0, 3, 3, 2, 1, 3, 3, 4, 3, 1, 2, 2, 1, 2, 1, 4, 1, 3, 2, 0, 4, 4, 4, 3, 1, 0, 4, 2, 4, 1, 0, 3, 0, 3, 4, 0, 3, 0, 3, 0, 2, 2, 0, 1, 4, 1, 2, 0, 4, 4, 3, 1, 4, 1, 1, 2, 1, 3, 0, 0, 1, 1, 2, 1, 1, 4, 4, 4, 4, 2, 1, 1, 2, 4, 0, 0, 1, 3, 1, 3, 3, 1, 2, 0, 0, 0, 3, 2, 1, 4, 3, 4, 1, 2, 2, 0, 2, 1, 0, 1, 3, 0, 4, 1, 4, 3, 0, 2, 1, 0, 2, 2, 3, 3, 3, 0, 1, 2, 3, 1, 2, 3, 2, 1, 4, 3, 1, 3, 0, 3, 4, 1, 3, 2, 4, 2, 2, 2, 0, 0, 3, 1, 4, 0, 0, 0, 4, 4, 3, 2, 2, 3, 4, 3, 2, 4, 4, 4, 4, 4, 2, 0, 1, 4, 0, 1, 0, 1, 0, 2, 4, 3, 0, 2, 0, 0, 2, 0, 2, 0, 4, 0, 4, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 0, 2, 4, 1, 3, 1, 3, 4, 1, 1, 1, 0, 0, 0, 0, 3, 0, 4, 3, 4, 1, 2, 0, 4, 2, 0, 2, 1, 1, 0, 4, 1, 0, 0, 3, 4, 4, 2, 0, 3]
pubkeycol473 = [4, 2, 4, 0, 1, 0, 1, 0, 4, 1, 3, 3, 0, 1, 0, 3, 3, 1, 1, 4, 4, 3, 2, 2, 4, 0, 2, 3, 0, 4, 3, 3, 1, 0, 1, 4, 0, 1, 3, 4, 3, 2, 2, 0, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 3, 4, 0, 3, 0, 3, 0, 1, 3, 3, 2, 4, 4, 4, 1, 4, 0, 3, 4, 1, 0, 2, 3, 0, 3, 3, 0, 3, 1, 0, 3, 4, 3, 1, 0, 2, 4, 2, 3, 3, 2, 3, 4, 1, 1, 3, 4, 1, 2, 4, 2, 0, 4, 2, 0, 3, 1, 1, 0, 4, 3, 2, 0, 3, 2, 3, 3, 0, 2, 0, 0, 2, 0, 4, 0, 4, 3, 4, 4, 0, 1, 1, 0, 1, 3, 4, 3, 2, 2, 4, 1, 4, 2, 2, 2, 0, 0, 4, 4, 4, 3, 4, 2, 3, 3, 2, 2, 2, 4, 3, 0, 0, 2, 2, 3, 1, 1, 3, 0, 4, 2, 4, 1, 3, 1, 4, 4, 0, 3, 3, 4, 2, 0, 3, 1, 0, 4, 3, 4, 2, 3, 2, 0, 3, 3, 0, 3, 0, 0, 2, 2, 0, 4, 4, 2, 4, 4, 2, 2, 3, 1, 3, 3, 2, 2, 3, 3, 2, 2, 4, 3, 1, 0, 1, 4, 3, 1, 1, 4, 2, 0, 0, 3, 0, 1, 0, 0, 3, 1, 4, 1, 0, 3, 4, 1, 4, 3, 2, 4, 2, 0, 4, 0, 3, 4, 0, 1, 2, 2, 3, 2, 2, 0, 0, 2, 3, 0, 4, 4, 1, 1, 2, 3, 2, 3, 1, 4, 3, 4, 1, 4, 2, 3, 0, 4, 1, 2, 4, 1, 3, 1, 2, 1, 4, 1, 3, 2, 4, 4, 0, 3, 3, 3, 1]
pubkeycol474 = [4, 3, 1, 3, 2, 1, 3, 3, 4, 0, 2, 3, 3, 1, 3, 1, 4, 3, 3, 0, 4, 0, 0, 0, 3, 0, 0, 1, 3, 3, 1, 2, 1, 4, 1, 0, 3, 0, 0, 2, 1, 1, 3, 2, 2, 1, 1, 0, 0, 0, 4, 1, 2, 2, 4, 0, 4, 2, 0, 4, 3, 4, 0, 0, 2, 0, 1, 3, 3, 1, 4, 2, 0, 3, 3, 4, 2, 2, 2, 3, 4, 1, 2, 3, 4, 0, 3, 0, 2, 0, 4, 0, 2, 3, 0, 0, 2, 4, 2, 3, 1, 1, 0, 2, 2, 4, 1, 2, 4, 2, 2, 2, 1, 0, 0, 0, 3, 0, 2, 2, 1, 1, 0, 4, 3, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 0, 2, 0, 4, 3, 1, 4, 3, 2, 3, 4, 3, 3, 3, 3, 1, 1, 0, 0, 3, 1, 3, 0, 0, 3, 2, 4, 1, 0, 1, 3, 4, 1, 0, 1, 1, 4, 0, 1, 2, 0, 0, 2, 0, 2, 4, 2, 0, 3, 2, 1, 3, 2, 3, 4, 0, 2, 3, 1, 0, 3, 3, 4, 4, 4, 4, 0, 2, 1, 1, 0, 2, 4, 3, 1, 1, 0, 3, 0, 2, 1, 1, 3, 1, 1, 3, 1, 4, 0, 4, 2, 4, 1, 2, 3, 3, 2, 4, 0, 3, 2, 3, 4, 0, 2, 0, 2, 3, 3, 0, 1, 1, 3, 2, 0, 1, 3, 0, 2, 1, 4, 1, 0, 4, 3, 2, 1, 2, 4, 3, 4, 4, 2, 4, 1, 3, 1, 4, 4, 3, 1, 3, 1, 0, 0, 1, 0, 3, 3, 3, 3, 4, 0, 0, 1, 2, 0, 1, 3, 2, 0, 1, 4, 3, 3, 1, 3, 1, 0, 2, 1, 0, 1, 4, 2, 4, 3, 3, 4, 3, 1, 4, 2, 4]
pubkeycol475 = [0, 1, 0, 2, 4, 2, 4, 1, 1, 2, 0, 4, 2, 1, 3, 0, 4, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 3, 1, 3, 1, 2, 4, 1, 4, 0, 0, 1, 3, 2, 4, 2, 2, 3, 1, 1, 1, 0, 2, 4, 1, 1, 0, 1, 3, 0, 0, 2, 3, 0, 0, 0, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 4, 3, 2, 0, 3, 2, 1, 4, 3, 4, 4, 0, 2, 4, 3, 0, 0, 0, 2, 2, 1, 3, 2, 0, 3, 3, 1, 0, 2, 1, 2, 0, 3, 2, 0, 4, 4, 2, 3, 0, 1, 3, 3, 0, 2, 3, 1, 2, 4, 4, 0, 2, 2, 4, 2, 2, 2, 4, 4, 4, 1, 4, 0, 1, 2, 1, 2, 4, 0, 4, 0, 1, 4, 1, 0, 1, 3, 2, 4, 0, 1, 3, 0, 4, 3, 1, 3, 1, 0, 0, 0, 3, 4, 3, 1, 3, 4, 2, 4, 3, 1, 1, 4, 3, 2, 1, 4, 3, 0, 4, 3, 4, 3, 1, 2, 0, 2, 1, 2, 2, 1, 4, 0, 1, 3, 4, 4, 1, 1, 3, 2, 0, 1, 3, 4, 0, 0, 3, 1, 3, 4, 3, 4, 2, 3, 0, 1, 0, 0, 3, 2, 2, 1, 1, 1, 0, 1, 0, 4, 2, 0, 1, 3, 2, 1, 4, 3, 2, 4, 2, 1, 2, 0, 4, 2, 1, 3, 1, 4, 4, 2, 3, 1, 0, 0, 1, 3, 0, 4, 2, 3, 4, 3, 1, 2, 1, 1, 3, 2, 3, 0, 3, 2, 1, 3, 1, 4, 0, 2, 3, 1, 0, 4, 2, 3, 2, 0, 2, 4, 0, 3, 4, 1, 4, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 4, 4, 2, 4, 3, 4, 4, 1, 4, 3, 3, 4]
pubkeycol476 = [4, 4, 4, 4, 3, 4, 0, 1, 3, 4, 1, 1, 0, 3, 0, 0, 0, 0, 4, 4, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 4, 3, 1, 4, 1, 0, 1, 3, 0, 2, 2, 4, 2, 4, 0, 1, 0, 3, 0, 3, 3, 1, 4, 4, 2, 0, 0, 4, 3, 0, 1, 1, 0, 2, 1, 3, 4, 4, 0, 3, 0, 3, 3, 2, 3, 1, 4, 4, 3, 0, 0, 4, 4, 4, 1, 0, 1, 4, 2, 2, 3, 0, 4, 2, 3, 0, 1, 4, 1, 0, 4, 3, 0, 4, 0, 1, 4, 4, 0, 0, 1, 1, 2, 0, 2, 2, 3, 1, 4, 3, 1, 0, 1, 3, 4, 2, 3, 1, 4, 0, 3, 4, 4, 1, 4, 2, 4, 2, 3, 1, 0, 3, 4, 3, 0, 0, 1, 2, 4, 2, 4, 4, 0, 2, 3, 1, 4, 2, 0, 4, 4, 0, 2, 4, 4, 1, 1, 2, 1, 3, 2, 4, 1, 2, 0, 1, 4, 3, 1, 4, 1, 0, 1, 2, 3, 2, 4, 2, 3, 4, 4, 4, 4, 0, 0, 0, 3, 1, 1, 4, 0, 1, 0, 2, 3, 2, 4, 1, 4, 3, 4, 3, 4, 0, 2, 3, 4, 4, 0, 0, 0, 3, 3, 1, 4, 1, 4, 2, 1, 3, 1, 1, 1, 2, 3, 2, 2, 1, 4, 1, 0, 3, 2, 4, 0, 0, 3, 3, 3, 2, 3, 0, 3, 0, 0, 3, 4, 2, 1, 2, 3, 0, 1, 2, 3, 4, 2, 3, 2, 0, 3, 0, 4, 0, 3, 0, 1, 1, 4, 1, 3, 2, 2, 2, 0, 0, 0, 0, 3, 2, 3, 3, 0, 2, 1, 1, 4, 0, 4, 3, 0, 0, 3, 4, 2, 3, 1, 0, 1, 1, 3, 0, 1, 3, 0, 2, 3, 3, 4, 1]
pubkeycol477 = [3, 0, 1, 0, 2, 1, 4, 0, 0, 4, 3, 3, 3, 2, 3, 0, 1, 1, 0, 4, 1, 4, 4, 4, 0, 3, 4, 4, 3, 0, 1, 3, 1, 3, 4, 2, 4, 2, 1, 4, 0, 3, 1, 0, 3, 4, 3, 1, 4, 2, 0, 3, 3, 3, 3, 0, 0, 0, 3, 4, 4, 1, 4, 2, 2, 4, 0, 4, 3, 0, 2, 1, 1, 0, 0, 3, 2, 3, 1, 2, 3, 4, 1, 3, 2, 1, 0, 1, 1, 0, 0, 0, 4, 4, 3, 2, 1, 1, 3, 1, 0, 4, 0, 3, 0, 3, 0, 1, 2, 2, 4, 2, 1, 4, 1, 1, 1, 3, 0, 4, 1, 2, 1, 3, 0, 2, 3, 2, 1, 1, 1, 3, 0, 4, 0, 4, 0, 4, 3, 2, 4, 2, 2, 1, 3, 4, 0, 1, 1, 1, 1, 0, 3, 4, 4, 1, 2, 3, 3, 1, 2, 0, 4, 2, 0, 1, 2, 0, 1, 2, 4, 0, 3, 3, 2, 1, 3, 3, 2, 4, 1, 0, 0, 1, 2, 1, 0, 4, 1, 4, 1, 4, 2, 0, 2, 2, 2, 3, 3, 3, 4, 3, 1, 1, 0, 1, 3, 0, 4, 1, 2, 0, 4, 3, 3, 4, 2, 2, 3, 1, 2, 1, 3, 4, 4, 4, 4, 3, 1, 1, 4, 1, 4, 0, 2, 3, 2, 3, 4, 4, 0, 2, 4, 4, 4, 2, 3, 1, 3, 1, 0, 3, 4, 0, 3, 1, 1, 4, 3, 0, 2, 4, 3, 1, 3, 1, 1, 1, 0, 0, 4, 1, 3, 4, 4, 2, 3, 0, 1, 3, 0, 4, 1, 3, 3, 2, 0, 1, 2, 4, 3, 3, 1, 4, 1, 0, 2, 2, 2, 2, 2, 2, 2, 4, 1, 0, 3, 4, 4, 1, 0, 0, 2, 0, 1, 3, 2, 4, 1, 4]
pubkeycol478 = [0, 1, 0, 0, 0, 2, 2, 3, 2, 0, 2, 3, 4, 3, 3, 3, 1, 3, 4, 0, 0, 0, 3, 0, 2, 4, 3, 4, 0, 2, 0, 2, 4, 0, 4, 1, 0, 4, 1, 1, 3, 1, 3, 0, 3, 4, 3, 1, 3, 3, 0, 2, 1, 2, 4, 3, 3, 1, 2, 0, 1, 0, 2, 1, 3, 0, 4, 0, 1, 2, 2, 0, 4, 4, 3, 0, 1, 4, 1, 1, 2, 3, 4, 3, 4, 3, 0, 0, 4, 2, 0, 1, 0, 2, 4, 2, 4, 1, 2, 1, 2, 1, 3, 2, 0, 0, 2, 1, 0, 3, 2, 1, 2, 3, 4, 1, 4, 2, 4, 4, 4, 4, 4, 2, 1, 1, 1, 4, 4, 0, 1, 4, 1, 4, 4, 1, 0, 1, 1, 3, 1, 2, 3, 0, 1, 1, 4, 4, 4, 4, 1, 4, 3, 0, 4, 0, 4, 2, 3, 4, 2, 0, 4, 4, 3, 1, 4, 1, 2, 3, 0, 0, 3, 4, 1, 0, 4, 1, 4, 3, 3, 0, 0, 3, 2, 2, 2, 0, 4, 0, 3, 0, 0, 3, 4, 2, 3, 3, 3, 0, 2, 0, 0, 1, 3, 1, 3, 2, 0, 3, 1, 2, 0, 4, 1, 1, 1, 4, 0, 2, 4, 2, 3, 0, 0, 2, 4, 2, 0, 2, 2, 0, 4, 4, 1, 1, 3, 4, 3, 2, 3, 4, 1, 0, 4, 0, 1, 1, 0, 3, 4, 4, 2, 1, 2, 1, 3, 4, 2, 1, 1, 0, 1, 2, 1, 4, 1, 4, 2, 3, 2, 0, 2, 0, 3, 3, 2, 0, 2, 1, 4, 2, 1, 3, 2, 0, 1, 4, 4, 0, 4, 3, 2, 2, 0, 4, 2, 3, 4, 3, 1, 3, 0, 1, 1, 2, 4, 0, 0, 4, 0, 4, 1, 0, 3, 1, 3, 1, 2, 1]
pubkeycol479 = [3, 3, 0, 1, 4, 4, 1, 4, 2, 2, 2, 0, 0, 0, 4, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 0, 0, 2, 4, 0, 3, 2, 4, 3, 3, 2, 0, 4, 2, 2, 4, 1, 0, 3, 3, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 4, 1, 3, 3, 4, 0, 3, 0, 1, 3, 0, 2, 2, 1, 1, 4, 2, 2, 0, 3, 4, 4, 1, 2, 4, 2, 3, 2, 0, 0, 1, 4, 2, 3, 0, 4, 0, 4, 4, 4, 2, 0, 1, 0, 3, 2, 0, 3, 4, 3, 4, 0, 3, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 4, 2, 4, 3, 4, 3, 0, 3, 2, 0, 1, 0, 3, 2, 4, 1, 3, 4, 4, 0, 0, 0, 4, 1, 3, 0, 0, 3, 4, 1, 0, 2, 1, 1, 3, 3, 1, 1, 4, 4, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 0, 0, 0, 3, 0, 4, 0, 4, 4, 0, 0, 2, 0, 2, 3, 0, 1, 4, 1, 0, 4, 1, 2, 2, 0, 3, 2, 0, 0, 0, 3, 2, 3, 1, 4, 0, 0, 0, 3, 1, 4, 3, 1, 3, 1, 0, 1, 2, 1, 4, 1, 2, 3, 4, 3, 4, 2, 2, 1, 4, 4, 3, 0, 3, 4, 2, 2, 1, 0, 2, 1, 2, 0, 3, 0, 4, 4, 3, 1, 4, 3, 1, 0, 3, 2, 3, 4, 0, 1, 0, 0, 1, 0, 2, 4, 0, 4, 3, 3, 4, 1, 2, 0, 3, 4, 3, 4, 1, 1, 2, 2, 0, 0, 3, 2, 0, 3, 0, 2, 4, 2, 0, 0, 2, 2, 2, 3, 1, 1, 4, 3, 1, 1, 1, 2, 0]
pubkeycol480 = [3, 0, 4, 3, 1, 1, 1, 1, 4, 4, 1, 2, 0, 2, 3, 4, 2, 1, 1, 0, 2, 2, 4, 4, 4, 0, 4, 1, 0, 1, 1, 4, 2, 1, 2, 3, 3, 2, 4, 1, 3, 1, 0, 4, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 4, 2, 4, 4, 4, 3, 0, 2, 3, 3, 3, 2, 4, 1, 2, 3, 2, 3, 0, 2, 4, 4, 3, 0, 2, 3, 0, 4, 2, 0, 0, 0, 2, 0, 4, 3, 2, 4, 3, 4, 4, 0, 4, 3, 4, 2, 1, 1, 2, 2, 3, 2, 2, 0, 3, 2, 1, 4, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 3, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 4, 2, 0, 3, 2, 1, 4, 0, 3, 0, 3, 2, 1, 4, 3, 0, 3, 0, 3, 1, 2, 3, 4, 4, 1, 4, 3, 0, 1, 0, 4, 1, 1, 0, 1, 4, 0, 0, 2, 1, 4, 2, 2, 4, 3, 0, 1, 3, 0, 4, 2, 3, 2, 2, 2, 0, 2, 4, 0, 3, 4, 1, 2, 0, 4, 2, 4, 1, 1, 3, 4, 3, 4, 2, 3, 0, 3, 4, 3, 4, 1, 1, 2, 3, 1, 4, 4, 1, 1, 3, 4, 3, 3, 2, 4, 3, 4, 1, 1, 4, 2, 3, 1, 3, 2, 0, 3, 0, 2, 0, 0, 2, 1, 0, 3, 0, 2, 2, 4, 3, 2, 2, 2, 3, 0, 4, 1, 2, 0, 1, 1, 1, 1, 2, 3, 4, 4, 4, 0, 2, 1, 0, 4, 3, 3, 2, 4, 1, 0, 1, 1, 4, 4, 4, 1, 4, 0, 3, 0, 4, 2, 3, 3, 3, 4, 1, 0, 3, 0, 4, 4, 0, 2, 2, 3, 3, 2, 4, 0, 4, 2, 2, 1]
pubkeycol481 = [0, 3, 3, 1, 1, 3, 2, 4, 2, 0, 3, 4, 4, 4, 4, 3, 0, 4, 1, 4, 2, 2, 0, 4, 2, 3, 3, 0, 0, 4, 2, 4, 3, 4, 3, 0, 1, 3, 1, 0, 4, 1, 4, 0, 1, 3, 3, 0, 3, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 4, 2, 0, 2, 2, 4, 2, 2, 4, 2, 2, 1, 0, 0, 2, 3, 4, 3, 1, 0, 0, 0, 4, 2, 1, 1, 3, 4, 2, 0, 1, 2, 1, 3, 3, 1, 2, 2, 0, 3, 0, 4, 3, 3, 2, 3, 3, 0, 0, 0, 2, 3, 2, 2, 1, 0, 3, 3, 3, 2, 2, 0, 2, 2, 4, 4, 3, 1, 0, 2, 1, 4, 3, 4, 2, 2, 4, 0, 4, 0, 0, 0, 2, 0, 3, 3, 3, 1, 2, 4, 1, 3, 1, 0, 1, 3, 3, 1, 2, 3, 0, 2, 3, 2, 2, 0, 0, 4, 0, 1, 4, 1, 3, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 4, 1, 3, 1, 1, 4, 2, 2, 3, 2, 2, 0, 3, 0, 4, 3, 4, 3, 1, 3, 0, 2, 3, 0, 4, 3, 2, 1, 2, 2, 1, 0, 1, 4, 1, 0, 2, 2, 2, 3, 3, 0, 4, 0, 2, 0, 3, 2, 4, 3, 0, 4, 1, 2, 2, 1, 1, 1, 3, 1, 2, 0, 1, 3, 1, 0, 3, 4, 2, 3, 3, 2, 4, 0, 4, 4, 1, 2, 1, 0, 0, 1, 0, 2, 3, 4, 4, 2, 3, 3, 0, 0, 0, 4, 3, 1, 0, 0, 3, 1, 4, 0, 0, 2, 3, 0, 3, 3, 2, 3, 1, 4, 1, 1, 1, 2, 2, 3, 2, 1, 1, 2, 4, 3, 0, 3, 1, 1, 2, 2, 1]
pubkeycol482 = [2, 3, 3, 4, 1, 3, 4, 3, 3, 2, 1, 0, 4, 0, 0, 1, 1, 0, 0, 0, 4, 4, 2, 2, 1, 0, 4, 2, 4, 4, 4, 0, 1, 1, 3, 2, 2, 1, 1, 4, 3, 2, 0, 2, 4, 0, 1, 0, 1, 2, 4, 3, 0, 4, 2, 1, 0, 0, 2, 4, 1, 0, 4, 2, 1, 2, 4, 4, 0, 4, 0, 2, 2, 3, 0, 0, 1, 1, 2, 1, 4, 3, 1, 3, 2, 3, 3, 4, 4, 0, 2, 2, 1, 2, 0, 4, 3, 2, 4, 2, 4, 1, 1, 0, 0, 2, 1, 0, 3, 2, 1, 3, 3, 1, 1, 4, 1, 4, 1, 0, 3, 4, 3, 1, 2, 3, 1, 1, 1, 1, 3, 2, 4, 4, 3, 3, 4, 3, 4, 3, 2, 4, 3, 2, 2, 4, 1, 3, 3, 4, 4, 1, 2, 1, 1, 0, 0, 3, 4, 3, 2, 3, 4, 0, 2, 0, 1, 0, 3, 4, 2, 0, 1, 1, 2, 2, 1, 0, 2, 3, 4, 2, 0, 0, 1, 3, 1, 3, 2, 0, 0, 3, 1, 1, 0, 4, 1, 1, 2, 0, 1, 4, 3, 4, 1, 3, 2, 3, 1, 1, 3, 1, 4, 0, 4, 3, 3, 4, 0, 0, 0, 4, 3, 4, 2, 0, 3, 3, 0, 0, 3, 1, 2, 4, 2, 2, 1, 3, 4, 0, 0, 4, 3, 1, 2, 1, 4, 2, 4, 0, 3, 2, 1, 2, 3, 2, 3, 1, 4, 1, 2, 3, 3, 2, 3, 3, 3, 0, 4, 4, 0, 1, 3, 3, 3, 4, 1, 4, 3, 0, 1, 4, 2, 2, 3, 4, 1, 1, 3, 0, 0, 1, 3, 2, 2, 4, 0, 2, 4, 0, 1, 4, 0, 3, 2, 3, 4, 2, 0, 4, 3, 0, 0, 3, 2, 0, 1, 3, 1, 3]
pubkeycol483 = [2, 4, 3, 2, 2, 3, 3, 1, 2, 0, 3, 3, 0, 4, 1, 3, 1, 3, 3, 1, 1, 4, 4, 4, 3, 1, 1, 1, 0, 4, 4, 0, 2, 3, 0, 3, 0, 0, 1, 0, 2, 1, 2, 3, 1, 0, 3, 3, 2, 3, 0, 3, 0, 0, 4, 3, 4, 2, 0, 3, 1, 2, 1, 1, 2, 4, 4, 1, 4, 4, 2, 2, 1, 2, 2, 4, 2, 3, 2, 0, 4, 1, 4, 0, 1, 4, 0, 2, 3, 2, 2, 1, 3, 1, 1, 0, 2, 4, 1, 1, 4, 0, 0, 4, 0, 4, 1, 4, 3, 4, 1, 1, 0, 3, 1, 3, 4, 1, 0, 1, 1, 1, 4, 3, 3, 2, 0, 0, 4, 0, 2, 2, 1, 0, 3, 0, 0, 3, 1, 4, 2, 4, 2, 3, 4, 4, 2, 1, 1, 2, 3, 4, 4, 4, 0, 1, 3, 3, 4, 0, 4, 2, 1, 0, 0, 0, 1, 0, 0, 3, 2, 1, 2, 0, 2, 4, 4, 1, 0, 0, 0, 4, 4, 3, 0, 4, 4, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 4, 4, 3, 4, 2, 1, 1, 0, 2, 4, 1, 3, 1, 0, 3, 1, 4, 3, 3, 2, 1, 0, 4, 1, 3, 2, 4, 4, 1, 3, 2, 0, 2, 4, 1, 2, 3, 0, 4, 3, 1, 2, 4, 1, 3, 0, 3, 4, 2, 2, 0, 4, 4, 2, 0, 4, 0, 4, 4, 2, 2, 4, 1, 2, 1, 1, 1, 1, 0, 3, 4, 4, 0, 4, 2, 0, 1, 0, 4, 4, 4, 2, 2, 2, 3, 3, 4, 1, 3, 0, 3, 3, 1, 0, 3, 2, 4, 4, 1, 4, 2, 2, 4, 4, 3, 2, 2, 1, 3, 1, 2, 2, 4, 0, 1, 0, 2, 2, 3, 3, 1, 3]
pubkeycol484 = [2, 4, 3, 2, 2, 0, 2, 3, 0, 1, 3, 3, 0, 1, 4, 2, 4, 4, 1, 3, 0, 0, 3, 4, 0, 0, 0, 0, 2, 1, 3, 4, 0, 1, 3, 0, 4, 1, 1, 1, 4, 4, 0, 4, 1, 4, 0, 4, 1, 0, 0, 4, 1, 1, 0, 1, 3, 1, 2, 4, 0, 2, 3, 1, 1, 4, 1, 4, 1, 3, 0, 2, 4, 2, 2, 1, 2, 3, 0, 2, 3, 1, 3, 1, 2, 2, 4, 3, 4, 4, 1, 0, 3, 4, 0, 4, 0, 0, 0, 3, 1, 0, 3, 2, 1, 1, 4, 3, 3, 3, 4, 2, 4, 3, 4, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 4, 0, 1, 3, 3, 2, 4, 4, 1, 0, 1, 2, 2, 2, 3, 0, 3, 0, 3, 0, 2, 4, 3, 2, 3, 0, 2, 4, 1, 4, 0, 1, 2, 4, 0, 0, 0, 2, 1, 3, 0, 0, 1, 0, 4, 3, 1, 2, 4, 4, 1, 1, 3, 3, 0, 1, 0, 1, 0, 1, 2, 0, 3, 2, 0, 1, 4, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 3, 0, 4, 1, 4, 0, 4, 3, 1, 0, 0, 0, 0, 0, 3, 1, 0, 2, 0, 4, 4, 2, 4, 3, 3, 3, 0, 3, 2, 4, 1, 2, 3, 1, 4, 1, 3, 0, 1, 2, 1, 1, 4, 3, 3, 2, 4, 2, 0, 3, 1, 2, 3, 3, 4, 4, 4, 4, 1, 3, 0, 0, 3, 2, 3, 1, 3, 4, 3, 3, 0, 0, 3, 1, 1, 0, 1, 0, 2, 2, 2, 3, 1, 2, 3, 0, 0, 3, 1, 1, 1, 3, 3, 3, 0, 3, 4, 0, 2, 4, 4, 3, 2, 2, 4, 4, 4, 1, 3, 0, 1, 1, 4, 0, 2, 4, 2]
pubkeycol485 = [3, 4, 2, 2, 4, 2, 3, 3, 1, 0, 4, 1, 3, 4, 2, 0, 3, 2, 4, 3, 1, 4, 4, 1, 2, 1, 1, 2, 4, 3, 2, 0, 2, 0, 1, 0, 1, 3, 1, 4, 2, 1, 3, 0, 0, 3, 3, 4, 4, 1, 2, 4, 0, 3, 1, 3, 2, 3, 0, 1, 4, 1, 3, 3, 2, 2, 4, 4, 4, 0, 3, 2, 0, 0, 1, 1, 4, 0, 2, 0, 0, 4, 4, 2, 3, 4, 0, 2, 2, 0, 2, 2, 4, 2, 0, 2, 3, 4, 3, 0, 0, 1, 0, 1, 2, 0, 0, 0, 4, 2, 0, 3, 0, 1, 3, 1, 1, 1, 1, 0, 1, 4, 0, 3, 0, 4, 1, 0, 0, 3, 4, 2, 1, 3, 2, 3, 0, 0, 0, 2, 1, 0, 4, 0, 0, 1, 1, 4, 0, 0, 0, 3, 4, 2, 3, 1, 2, 0, 3, 2, 0, 0, 4, 0, 4, 4, 0, 4, 4, 1, 0, 4, 4, 3, 0, 2, 3, 2, 3, 1, 0, 1, 3, 2, 1, 1, 0, 4, 4, 2, 2, 0, 4, 1, 0, 4, 2, 1, 3, 3, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 4, 2, 1, 4, 4, 4, 3, 1, 3, 3, 4, 1, 2, 1, 0, 4, 1, 1, 0, 2, 3, 0, 0, 4, 0, 0, 4, 3, 2, 1, 0, 0, 3, 1, 0, 2, 4, 2, 0, 1, 0, 1, 1, 2, 4, 1, 0, 2, 4, 2, 0, 2, 2, 2, 4, 2, 1, 3, 1, 3, 1, 2, 0, 0, 2, 1, 4, 2, 0, 1, 4, 0, 1, 3, 2, 1, 3, 3, 4, 3, 2, 0, 3, 1, 2, 0, 1, 1, 0, 1, 3, 0, 4, 0, 3, 3, 2, 0, 1, 3, 1, 0, 0, 3, 1, 2, 2, 4, 0, 3]
pubkeycol486 = [0, 3, 3, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 4, 2, 2, 2, 4, 4, 0, 4, 3, 3, 3, 3, 1, 0, 2, 3, 0, 1, 2, 2, 4, 4, 4, 1, 4, 3, 2, 0, 3, 1, 1, 2, 3, 4, 2, 1, 1, 4, 0, 0, 2, 0, 3, 1, 0, 0, 3, 2, 3, 4, 1, 1, 4, 2, 1, 3, 0, 0, 4, 3, 2, 4, 4, 0, 3, 4, 4, 3, 4, 2, 1, 4, 2, 0, 2, 3, 3, 0, 2, 1, 0, 4, 4, 0, 2, 3, 2, 3, 0, 0, 3, 3, 0, 1, 1, 3, 4, 0, 3, 3, 3, 3, 2, 3, 4, 2, 1, 2, 2, 3, 2, 3, 2, 1, 3, 0, 2, 0, 4, 3, 3, 3, 2, 0, 3, 0, 3, 4, 1, 0, 4, 0, 2, 2, 0, 2, 4, 2, 3, 0, 4, 1, 4, 0, 4, 0, 1, 2, 2, 4, 3, 1, 1, 3, 1, 0, 0, 2, 2, 3, 2, 3, 4, 4, 4, 3, 0, 0, 3, 3, 1, 4, 2, 4, 3, 1, 4, 4, 4, 1, 2, 4, 1, 0, 4, 3, 2, 4, 1, 1, 4, 2, 0, 2, 0, 0, 4, 2, 3, 2, 3, 4, 1, 0, 0, 3, 0, 2, 3, 0, 0, 1, 4, 2, 1, 3, 2, 3, 3, 0, 2, 3, 2, 4, 1, 2, 2, 1, 1, 0, 4, 3, 0, 3, 0, 4, 1, 1, 0, 4, 0, 4, 0, 2, 1, 4, 3, 2, 2, 2, 4, 2, 3, 1, 2, 2, 2, 3, 1, 4, 4, 1, 3, 1, 3, 4, 2, 2, 4, 1, 2, 4, 2, 0, 0, 2, 0, 0, 2, 0, 3, 0, 1, 0, 3, 4, 3, 2, 4, 4, 4, 3, 2, 2, 3, 4, 0, 1, 4, 1, 3, 2, 0, 3, 2, 0, 0]
pubkeycol487 = [0, 1, 1, 3, 0, 4, 0, 4, 2, 3, 0, 0, 3, 4, 3, 1, 4, 2, 0, 0, 2, 0, 2, 2, 2, 4, 4, 1, 3, 3, 3, 1, 0, 3, 0, 1, 3, 2, 0, 0, 1, 3, 1, 3, 4, 1, 0, 3, 2, 4, 1, 3, 1, 1, 2, 4, 4, 2, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 0, 0, 3, 3, 0, 1, 3, 3, 2, 3, 3, 4, 4, 2, 4, 0, 0, 2, 3, 0, 2, 2, 3, 2, 0, 2, 4, 3, 0, 4, 3, 0, 2, 4, 2, 2, 1, 3, 3, 4, 4, 4, 1, 2, 0, 4, 2, 0, 3, 1, 1, 3, 4, 3, 3, 4, 0, 4, 4, 1, 2, 1, 4, 3, 2, 4, 4, 3, 2, 0, 0, 1, 4, 3, 4, 0, 3, 2, 2, 2, 2, 4, 4, 3, 3, 4, 1, 2, 1, 4, 2, 1, 1, 3, 4, 1, 4, 2, 2, 3, 4, 4, 3, 3, 2, 4, 0, 0, 1, 3, 1, 1, 4, 4, 0, 2, 2, 0, 4, 3, 1, 4, 1, 2, 0, 2, 1, 0, 4, 1, 1, 0, 3, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 4, 4, 4, 0, 4, 2, 0, 4, 2, 4, 0, 2, 4, 4, 1, 1, 1, 4, 4, 2, 2, 4, 1, 4, 2, 3, 4, 0, 1, 1, 2, 4, 4, 1, 0, 3, 0, 4, 0, 0, 2, 4, 1, 2, 1, 1, 0, 2, 1, 3, 1, 1, 0, 2, 2, 3, 4, 0, 0, 3, 1, 3, 2, 0, 3, 4, 0, 4, 3, 3, 4, 2, 3, 4, 2, 1, 0, 2, 3, 1, 4, 4, 2, 4, 1, 4, 2, 1, 3, 3, 4, 1, 4, 0, 3, 2, 3, 1, 3, 0, 2, 2, 1, 3, 1, 2, 0, 3, 2]
pubkeycol488 = [3, 1, 4, 0, 3, 2, 2, 4, 2, 3, 4, 3, 2, 3, 0, 4, 4, 4, 3, 1, 3, 3, 4, 3, 4, 2, 4, 0, 0, 0, 3, 0, 3, 4, 2, 2, 0, 2, 1, 3, 1, 0, 4, 4, 3, 1, 2, 2, 2, 3, 0, 3, 1, 0, 4, 1, 2, 0, 4, 1, 1, 3, 1, 3, 2, 1, 3, 0, 1, 3, 2, 1, 0, 4, 2, 1, 0, 3, 4, 0, 2, 2, 4, 0, 4, 3, 2, 4, 3, 0, 2, 4, 3, 3, 3, 0, 3, 3, 3, 2, 1, 3, 2, 4, 4, 1, 4, 4, 3, 3, 2, 4, 2, 3, 3, 3, 4, 1, 3, 3, 2, 2, 4, 1, 0, 0, 0, 2, 1, 3, 0, 0, 1, 2, 3, 0, 1, 2, 0, 3, 4, 2, 0, 2, 2, 2, 4, 4, 1, 4, 2, 3, 1, 2, 3, 4, 4, 3, 1, 0, 4, 1, 2, 0, 1, 4, 3, 2, 3, 2, 0, 0, 1, 3, 1, 0, 1, 0, 1, 0, 2, 4, 0, 0, 3, 4, 4, 1, 3, 1, 0, 3, 3, 1, 1, 3, 0, 2, 2, 2, 4, 3, 3, 1, 4, 0, 3, 3, 3, 2, 3, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 3, 4, 1, 0, 2, 1, 3, 4, 4, 3, 0, 3, 2, 1, 4, 1, 2, 3, 3, 0, 0, 3, 2, 2, 1, 3, 4, 1, 1, 3, 3, 3, 3, 4, 2, 2, 1, 3, 0, 3, 4, 4, 4, 4, 3, 2, 4, 3, 1, 2, 3, 2, 4, 3, 2, 1, 2, 4, 4, 3, 0, 1, 2, 1, 1, 2, 1, 3, 4, 3, 1, 3, 3, 3, 1, 0, 4, 1, 1, 3, 3, 4, 4, 3, 0, 4, 4, 3, 4, 2, 0, 4, 3, 4, 1]
pubkeycol489 = [1, 2, 4, 3, 1, 1, 0, 0, 0, 4, 3, 4, 0, 4, 3, 0, 1, 3, 2, 2, 3, 0, 1, 0, 1, 4, 1, 2, 0, 4, 0, 0, 2, 3, 2, 4, 0, 3, 3, 4, 3, 2, 1, 2, 0, 4, 0, 2, 2, 0, 2, 2, 4, 3, 2, 1, 2, 1, 4, 2, 0, 2, 2, 4, 1, 2, 4, 3, 2, 2, 2, 4, 3, 4, 2, 4, 3, 2, 2, 3, 4, 0, 3, 0, 0, 4, 1, 1, 4, 1, 4, 3, 0, 1, 0, 0, 3, 4, 2, 0, 2, 2, 0, 1, 1, 0, 3, 0, 0, 3, 3, 4, 1, 1, 1, 4, 4, 0, 0, 3, 3, 1, 3, 3, 2, 3, 4, 1, 4, 0, 1, 2, 2, 4, 0, 2, 2, 3, 1, 3, 0, 1, 2, 4, 3, 3, 0, 4, 0, 2, 0, 2, 4, 2, 4, 1, 1, 3, 0, 2, 3, 3, 3, 3, 0, 0, 4, 2, 4, 3, 3, 0, 3, 4, 2, 3, 4, 2, 3, 3, 1, 0, 1, 1, 2, 3, 4, 0, 1, 3, 2, 4, 4, 1, 3, 1, 0, 3, 1, 2, 4, 3, 4, 0, 2, 2, 3, 4, 4, 1, 3, 3, 1, 4, 4, 2, 1, 0, 4, 1, 3, 4, 2, 2, 3, 1, 2, 3, 4, 2, 2, 2, 2, 4, 2, 2, 4, 3, 0, 0, 4, 3, 0, 1, 0, 4, 4, 3, 2, 1, 0, 2, 1, 0, 4, 2, 0, 0, 3, 0, 0, 4, 0, 0, 4, 1, 0, 0, 4, 0, 0, 3, 0, 1, 0, 4, 2, 2, 2, 3, 1, 3, 1, 4, 4, 1, 3, 0, 4, 0, 3, 1, 3, 1, 4, 0, 1, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 0, 4, 3, 1, 4, 2, 4, 2, 4, 4, 2, 3, 3]
pubkeycol490 = [3, 4, 0, 4, 3, 2, 4, 1, 1, 0, 4, 1, 4, 1, 2, 4, 1, 1, 4, 0, 0, 0, 1, 2, 0, 1, 3, 1, 1, 2, 2, 3, 0, 0, 4, 3, 4, 2, 1, 3, 1, 4, 3, 3, 1, 4, 3, 3, 3, 4, 2, 0, 3, 1, 1, 3, 3, 2, 3, 2, 2, 1, 3, 2, 4, 2, 3, 0, 0, 3, 3, 4, 4, 4, 3, 0, 3, 3, 1, 4, 3, 1, 4, 1, 4, 2, 2, 4, 4, 1, 3, 1, 0, 0, 4, 0, 3, 0, 4, 4, 2, 3, 2, 4, 4, 4, 1, 2, 4, 0, 2, 1, 1, 2, 3, 1, 4, 0, 1, 0, 0, 2, 1, 1, 2, 4, 0, 4, 0, 2, 2, 4, 1, 0, 2, 2, 4, 1, 2, 4, 0, 3, 1, 1, 4, 2, 4, 1, 3, 2, 4, 3, 0, 2, 2, 3, 4, 0, 3, 1, 3, 2, 3, 1, 0, 2, 4, 3, 3, 1, 3, 3, 0, 0, 1, 1, 2, 1, 0, 4, 2, 3, 4, 0, 4, 2, 0, 3, 4, 2, 3, 4, 3, 0, 4, 2, 4, 0, 1, 3, 1, 0, 3, 0, 3, 0, 0, 0, 1, 0, 0, 3, 1, 0, 3, 2, 1, 3, 1, 2, 3, 2, 3, 2, 1, 2, 2, 0, 0, 2, 1, 1, 4, 3, 0, 1, 0, 4, 3, 3, 1, 0, 4, 2, 2, 3, 2, 4, 0, 3, 3, 3, 1, 1, 1, 0, 0, 2, 1, 4, 0, 2, 2, 0, 1, 2, 4, 4, 2, 0, 0, 2, 1, 2, 4, 1, 1, 2, 0, 0, 2, 4, 1, 3, 2, 3, 4, 2, 0, 0, 3, 4, 4, 1, 2, 4, 2, 2, 3, 0, 2, 1, 3, 0, 4, 4, 1, 1, 2, 1, 1, 0, 1, 1, 2, 4, 3, 2, 3, 2]
pubkeycol491 = [4, 1, 4, 4, 3, 3, 2, 1, 0, 4, 1, 3, 1, 3, 3, 0, 4, 1, 1, 1, 2, 4, 2, 3, 4, 4, 3, 1, 1, 0, 0, 3, 0, 3, 2, 1, 0, 0, 1, 1, 0, 0, 4, 0, 1, 2, 1, 4, 3, 4, 1, 3, 0, 3, 4, 0, 3, 2, 1, 3, 1, 4, 2, 2, 2, 0, 4, 0, 4, 0, 3, 3, 3, 4, 4, 2, 3, 4, 3, 4, 4, 1, 1, 3, 4, 2, 3, 0, 0, 1, 2, 2, 1, 1, 0, 0, 4, 0, 1, 1, 4, 3, 4, 0, 2, 2, 4, 0, 3, 2, 3, 4, 3, 1, 1, 3, 1, 2, 2, 2, 4, 0, 1, 0, 1, 3, 4, 1, 1, 2, 1, 4, 1, 0, 3, 2, 3, 0, 3, 0, 0, 4, 0, 4, 4, 2, 0, 0, 2, 2, 3, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 4, 3, 2, 3, 2, 0, 1, 0, 1, 1, 4, 3, 3, 2, 3, 3, 0, 4, 3, 4, 0, 4, 1, 0, 1, 3, 2, 4, 3, 2, 0, 2, 3, 3, 0, 1, 3, 4, 4, 1, 1, 2, 4, 4, 0, 1, 3, 4, 2, 3, 3, 3, 1, 4, 1, 1, 3, 3, 0, 4, 4, 1, 1, 1, 0, 2, 0, 3, 3, 3, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 3, 3, 2, 2, 4, 1, 0, 3, 2, 2, 1, 4, 1, 3, 4, 1, 2, 4, 2, 0, 4, 4, 0, 4, 0, 1, 2, 3, 3, 2, 3, 1, 1, 4, 0, 1, 4, 2, 0, 2, 4, 3, 4, 0, 3, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 4, 3, 3, 3, 3, 0, 4, 1, 0, 4, 2, 3, 4, 3, 0, 3, 4, 0, 4, 2, 2]
pubkeycol492 = [4, 2, 3, 1, 3, 1, 1, 0, 2, 0, 3, 2, 2, 0, 2, 2, 2, 4, 2, 1, 4, 4, 2, 4, 3, 0, 1, 4, 4, 0, 1, 3, 4, 4, 3, 4, 0, 0, 4, 1, 3, 4, 4, 1, 2, 0, 3, 4, 0, 2, 4, 3, 2, 4, 1, 2, 0, 4, 4, 0, 3, 2, 3, 1, 4, 1, 1, 1, 3, 4, 2, 3, 1, 1, 0, 1, 0, 1, 0, 3, 3, 2, 2, 4, 2, 4, 1, 3, 1, 0, 1, 3, 3, 4, 0, 0, 2, 0, 3, 2, 1, 1, 2, 0, 0, 0, 4, 3, 4, 1, 2, 1, 4, 2, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 1, 4, 2, 1, 2, 3, 3, 4, 0, 4, 0, 4, 2, 2, 3, 4, 2, 3, 4, 2, 1, 0, 4, 4, 3, 2, 2, 0, 0, 1, 3, 2, 3, 2, 0, 2, 2, 4, 3, 3, 4, 0, 4, 3, 0, 0, 2, 1, 0, 3, 3, 0, 2, 1, 2, 2, 2, 4, 0, 2, 4, 1, 4, 3, 3, 2, 1, 2, 1, 2, 4, 4, 3, 1, 2, 2, 1, 1, 1, 4, 2, 4, 0, 2, 0, 0, 0, 4, 1, 2, 0, 2, 2, 4, 1, 3, 0, 2, 4, 4, 1, 3, 0, 2, 0, 4, 1, 0, 4, 2, 1, 4, 3, 0, 3, 0, 4, 4, 4, 1, 1, 4, 1, 1, 3, 3, 2, 4, 0, 4, 4, 1, 0, 0, 3, 0, 0, 3, 3, 2, 2, 3, 0, 3, 3, 4, 3, 3, 2, 0, 2, 2, 4, 1, 0, 4, 1, 0, 1, 1, 3, 1, 0, 0, 0, 3, 1, 3, 4, 4, 2, 1, 2, 4, 2, 0, 3, 4, 0, 2, 0, 2, 1, 4, 2, 1, 0, 0, 4, 4, 2, 2, 4, 2, 3]
pubkeycol493 = [2, 0, 2, 0, 1, 1, 2, 4, 1, 1, 1, 3, 2, 3, 1, 1, 2, 3, 0, 2, 3, 4, 3, 1, 4, 3, 0, 4, 1, 3, 2, 2, 1, 4, 2, 4, 2, 1, 1, 4, 1, 3, 3, 0, 4, 3, 2, 3, 0, 3, 1, 1, 0, 4, 4, 0, 1, 0, 3, 4, 2, 3, 0, 2, 1, 0, 1, 4, 0, 4, 4, 4, 3, 3, 2, 3, 1, 1, 2, 1, 2, 1, 4, 4, 0, 3, 1, 0, 3, 1, 0, 4, 2, 1, 0, 0, 3, 2, 3, 3, 2, 2, 2, 4, 2, 0, 2, 2, 2, 2, 1, 1, 1, 3, 4, 4, 1, 2, 1, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 1, 2, 3, 2, 3, 1, 4, 2, 3, 4, 2, 4, 1, 0, 3, 3, 0, 2, 4, 1, 4, 1, 4, 3, 1, 0, 3, 2, 2, 4, 3, 2, 4, 0, 0, 1, 4, 4, 2, 2, 4, 4, 2, 2, 1, 0, 4, 4, 3, 3, 4, 1, 1, 1, 2, 3, 0, 1, 3, 1, 2, 1, 1, 4, 2, 0, 4, 2, 4, 1, 2, 2, 2, 1, 0, 4, 0, 3, 3, 0, 3, 3, 3, 2, 1, 4, 0, 4, 1, 0, 1, 3, 0, 0, 0, 1, 4, 2, 1, 1, 0, 3, 4, 2, 2, 4, 1, 2, 3, 3, 4, 0, 0, 0, 1, 0, 0, 3, 1, 4, 3, 1, 4, 0, 1, 2, 2, 4, 0, 3, 1, 2, 1, 1, 3, 0, 4, 3, 2, 4, 3, 1, 4, 3, 4, 1, 1, 1, 4, 4, 4, 2, 0, 0, 4, 2, 0, 4, 0, 4, 1, 4, 3, 3, 4, 4, 3, 3, 3, 1, 2, 4, 1, 2, 3, 4, 0, 0, 2, 4, 4, 2, 4, 0, 3, 2, 4, 1, 4, 3, 2]
pubkeycol494 = [2, 3, 4, 4, 1, 4, 2, 1, 1, 0, 1, 2, 0, 4, 1, 4, 4, 4, 1, 3, 1, 2, 2, 1, 1, 3, 2, 1, 2, 4, 1, 3, 2, 4, 2, 4, 1, 1, 2, 3, 1, 0, 2, 1, 4, 4, 1, 3, 3, 0, 4, 4, 3, 1, 1, 2, 1, 3, 1, 2, 3, 1, 0, 2, 3, 3, 1, 1, 2, 0, 2, 0, 4, 2, 2, 1, 4, 2, 3, 1, 4, 2, 2, 1, 2, 2, 0, 2, 2, 2, 3, 3, 3, 1, 3, 2, 1, 1, 1, 0, 3, 1, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 3, 1, 3, 0, 2, 0, 4, 4, 0, 0, 4, 0, 2, 1, 1, 1, 2, 4, 4, 4, 4, 0, 2, 3, 1, 0, 4, 3, 3, 3, 0, 3, 3, 1, 2, 2, 4, 1, 4, 2, 2, 3, 1, 4, 2, 1, 2, 4, 1, 3, 4, 1, 1, 3, 0, 0, 1, 0, 0, 4, 3, 2, 1, 0, 1, 1, 3, 2, 4, 2, 3, 2, 2, 4, 1, 0, 3, 4, 3, 0, 4, 0, 1, 0, 2, 2, 3, 3, 2, 0, 3, 0, 0, 0, 1, 1, 0, 2, 3, 0, 4, 0, 2, 0, 0, 1, 2, 3, 2, 2, 1, 1, 0, 1, 3, 4, 4, 1, 3, 2, 2, 3, 3, 4, 2, 4, 1, 3, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 4, 1, 2, 3, 2, 2, 0, 3, 2, 2, 1, 1, 0, 2, 3, 1, 2, 0, 4, 1, 1, 4, 1, 4, 3, 1, 4, 1, 3, 1, 2, 4, 2, 1, 3, 1, 4, 4, 3, 2, 3, 4, 1, 0, 0, 3, 3, 3, 0, 2, 4, 2, 1, 3, 3, 4, 3, 1, 4, 0, 0, 4, 3, 1, 3, 1]
pubkeycol495 = [1, 2, 3, 0, 0, 0, 3, 1, 1, 3, 1, 1, 3, 4, 3, 1, 4, 2, 4, 4, 2, 3, 2, 3, 2, 4, 4, 4, 2, 4, 1, 2, 2, 2, 3, 0, 1, 4, 2, 1, 3, 4, 0, 0, 1, 4, 3, 3, 3, 2, 4, 4, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 0, 0, 3, 2, 3, 1, 2, 2, 1, 3, 3, 1, 1, 0, 2, 0, 3, 0, 2, 2, 0, 0, 0, 4, 4, 4, 0, 3, 1, 4, 3, 0, 0, 3, 2, 1, 4, 2, 4, 2, 1, 1, 2, 1, 3, 0, 3, 4, 4, 4, 1, 4, 4, 4, 1, 3, 3, 3, 0, 2, 2, 0, 0, 4, 0, 0, 2, 2, 1, 4, 3, 3, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 4, 1, 4, 4, 0, 3, 2, 4, 2, 0, 1, 4, 4, 1, 2, 1, 1, 3, 0, 4, 2, 2, 4, 0, 0, 2, 3, 3, 0, 0, 2, 0, 2, 4, 0, 3, 1, 2, 1, 3, 0, 2, 4, 1, 2, 1, 0, 2, 4, 4, 2, 1, 0, 4, 0, 1, 0, 3, 0, 2, 4, 3, 2, 1, 3, 3, 4, 2, 0, 0, 0, 4, 0, 4, 1, 2, 4, 1, 1, 3, 2, 3, 3, 0, 3, 4, 2, 1, 3, 2, 0, 2, 1, 2, 2, 1, 1, 1, 4, 0, 0, 4, 4, 1, 4, 4, 0, 4, 2, 0, 3, 0, 3, 1, 1, 2, 0, 4, 4, 1, 2, 1, 1, 1, 1, 4, 2, 2, 1, 2, 4, 1, 4, 2, 1, 4, 4, 4, 1, 4, 3, 0, 2, 0, 4, 0, 4, 1, 1, 1, 1, 0, 0, 4, 3, 4, 3, 4, 4, 2, 0, 1, 4, 4, 3, 3, 0, 1, 1, 3, 1, 1]
pubkeycol496 = [1, 4, 1, 3, 1, 0, 2, 0, 2, 2, 3, 2, 0, 4, 2, 4, 1, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 3, 4, 4, 4, 3, 4, 1, 3, 0, 3, 4, 1, 0, 3, 4, 2, 3, 1, 2, 3, 3, 1, 1, 4, 0, 1, 0, 2, 1, 3, 0, 0, 0, 3, 3, 1, 2, 4, 0, 0, 1, 0, 1, 4, 0, 1, 1, 1, 4, 3, 2, 0, 4, 1, 2, 0, 4, 3, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 3, 4, 4, 1, 2, 4, 0, 0, 4, 4, 1, 4, 0, 1, 1, 1, 1, 2, 0, 4, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 0, 0, 0, 4, 2, 0, 3, 2, 3, 3, 0, 2, 3, 1, 3, 4, 4, 4, 4, 2, 0, 3, 4, 2, 0, 3, 4, 0, 4, 0, 3, 3, 2, 2, 2, 4, 1, 3, 1, 2, 3, 2, 0, 2, 0, 3, 4, 2, 1, 2, 2, 4, 3, 0, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 4, 2, 1, 1, 1, 3, 0, 4, 4, 0, 3, 2, 1, 1, 2, 3, 2, 4, 0, 0, 3, 2, 4, 4, 1, 1, 2, 3, 3, 3, 1, 0, 2, 2, 3, 2, 3, 2, 4, 4, 2, 4, 3, 3, 4, 4, 0, 1, 1, 0, 0, 4, 3, 2, 1, 2, 3, 2, 3, 0, 1, 4, 3, 1, 4, 1, 3, 0, 2, 4, 1, 3, 0, 1, 1, 0, 0, 2, 0, 4, 4, 3, 2, 2, 1, 0, 1, 1, 3, 3, 0, 0, 1, 3, 0, 1, 2, 3, 2, 1, 2, 3, 2, 0, 0, 3, 2, 2, 3, 3, 2, 2, 4, 1, 0, 4, 3, 2, 1, 2, 2, 0, 2, 0]
pubkeycol497 = [4, 3, 2, 3, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 2, 2, 3, 1, 3, 0, 2, 3, 3, 4, 3, 2, 0, 4, 0, 3, 0, 4, 3, 4, 2, 0, 3, 3, 1, 3, 4, 2, 2, 3, 2, 1, 1, 3, 3, 0, 0, 4, 2, 3, 1, 0, 3, 4, 2, 2, 0, 3, 1, 0, 4, 3, 2, 1, 4, 3, 4, 3, 4, 2, 3, 2, 4, 2, 4, 3, 3, 1, 2, 3, 3, 1, 3, 0, 2, 0, 3, 1, 2, 4, 3, 0, 4, 2, 0, 1, 1, 0, 1, 0, 1, 0, 4, 3, 2, 1, 2, 2, 4, 4, 3, 1, 3, 3, 3, 0, 2, 0, 3, 0, 3, 4, 4, 4, 0, 3, 2, 0, 3, 0, 3, 0, 0, 4, 1, 2, 4, 2, 2, 1, 1, 3, 0, 2, 1, 1, 3, 0, 0, 2, 0, 4, 1, 2, 0, 4, 3, 2, 1, 3, 4, 0, 0, 2, 1, 0, 2, 4, 4, 0, 4, 1, 0, 4, 4, 0, 4, 2, 1, 0, 2, 3, 4, 2, 2, 4, 2, 1, 4, 1, 0, 3, 2, 2, 1, 0, 4, 1, 0, 4, 0, 1, 3, 4, 0, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 4, 3, 1, 0, 2, 4, 3, 0, 2, 1, 4, 3, 1, 2, 3, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 4, 4, 2, 1, 4, 4, 1, 1, 3, 2, 1, 4, 4, 0, 1, 1, 3, 3, 2, 3, 3, 1, 4, 2, 1, 3, 4, 0, 4, 0, 3, 0, 1, 3, 0, 2, 1, 1, 3, 4, 2, 2, 2, 2, 1, 4, 0, 1, 4, 4, 4, 3, 0, 0, 4, 3, 4, 1, 2, 4, 2, 1, 2, 2, 3, 0, 1, 3, 3, 4, 4, 2]
pubkeycol498 = [1, 2, 2, 1, 2, 1, 3, 3, 2, 0, 1, 3, 1, 2, 1, 3, 1, 2, 1, 0, 4, 4, 1, 3, 2, 1, 3, 4, 1, 0, 4, 2, 0, 0, 0, 2, 4, 0, 1, 1, 2, 0, 1, 0, 2, 0, 4, 2, 0, 3, 0, 0, 2, 0, 0, 2, 0, 3, 0, 3, 2, 2, 1, 1, 3, 3, 0, 3, 1, 4, 4, 3, 3, 0, 2, 0, 4, 0, 0, 4, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 3, 2, 3, 0, 2, 1, 2, 4, 1, 1, 1, 1, 2, 0, 0, 2, 0, 3, 3, 4, 4, 3, 2, 4, 4, 4, 4, 4, 1, 3, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 4, 4, 2, 4, 3, 1, 4, 2, 0, 1, 4, 0, 0, 4, 4, 4, 2, 1, 3, 0, 1, 1, 4, 3, 3, 4, 1, 2, 0, 1, 2, 4, 0, 2, 3, 3, 0, 1, 0, 1, 3, 2, 3, 4, 4, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 3, 1, 4, 1, 1, 3, 4, 2, 1, 3, 1, 1, 1, 3, 1, 2, 4, 3, 2, 0, 0, 1, 4, 3, 3, 3, 4, 2, 3, 0, 4, 4, 4, 3, 3, 3, 2, 0, 4, 0, 0, 4, 1, 4, 4, 0, 2, 1, 2, 1, 1, 4, 4, 1, 0, 2, 0, 1, 4, 2, 3, 4, 2, 0, 0, 3, 3, 2, 2, 1, 1, 3, 0, 0, 2, 3, 3, 4, 3, 4, 1, 3, 1, 4, 1, 1, 0, 1, 0, 4, 4, 4, 1, 2, 0, 0, 0, 1, 0, 4, 2, 4, 3, 1, 4, 3, 2, 1, 3, 0, 4, 0, 3, 3, 1, 4, 4, 4, 3, 4, 2, 3, 2, 1, 3, 3]
pubkeycol499 = [3, 1, 2, 4, 1, 0, 0, 0, 2, 1, 1, 4, 3, 2, 4, 4, 4, 2, 3, 3, 1, 2, 4, 2, 3, 1, 1, 0, 3, 0, 2, 0, 4, 4, 2, 2, 0, 4, 3, 3, 1, 4, 1, 1, 0, 4, 2, 1, 0, 2, 3, 4, 0, 0, 2, 3, 4, 3, 1, 0, 2, 1, 0, 2, 4, 1, 2, 0, 0, 2, 0, 2, 3, 3, 4, 4, 2, 4, 3, 0, 0, 1, 0, 1, 3, 1, 1, 2, 1, 4, 3, 3, 2, 3, 4, 4, 2, 3, 4, 3, 2, 0, 2, 2, 0, 1, 4, 3, 1, 4, 1, 3, 4, 3, 0, 1, 3, 0, 2, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 4, 0, 1, 0, 0, 1, 4, 1, 1, 0, 0, 1, 1, 2, 1, 4, 2, 4, 1, 2, 1, 0, 3, 0, 1, 3, 3, 0, 3, 4, 3, 3, 1, 3, 4, 3, 2, 1, 1, 1, 1, 4, 2, 4, 3, 3, 3, 0, 4, 2, 4, 3, 2, 1, 0, 0, 3, 2, 3, 1, 0, 2, 4, 3, 3, 1, 3, 2, 4, 3, 2, 0, 3, 0, 3, 4, 2, 1, 3, 0, 2, 4, 1, 2, 0, 2, 2, 3, 1, 2, 0, 3, 3, 3, 4, 4, 4, 3, 2, 0, 0, 4, 3, 4, 3, 0, 2, 0, 1, 3, 1, 3, 1, 0, 1, 3, 3, 4, 4, 4, 4, 3, 0, 1, 4, 1, 1, 3, 1, 3, 4, 0, 3, 0, 4, 0, 2, 3, 3, 2, 0, 4, 3, 1, 1, 1, 2, 3, 3, 4, 2, 3, 4, 3, 0, 2, 2, 0, 0, 4, 2, 0, 2, 2, 4, 1, 3, 4, 2, 1, 0, 2, 3, 1, 2, 0, 3, 2, 3, 0, 2, 1, 4, 3, 4, 3, 3, 4, 0, 2, 2]
pubkeycol500 = [1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 4, 0, 0, 0, 2, 0, 4, 0, 1, 2, 4, 3, 4, 1, 3, 2, 0, 2, 0, 0, 4, 0, 0, 1, 2, 1, 4, 3, 3, 3, 4, 3, 4, 4, 0, 4, 0, 1, 1, 3, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 4, 4, 1, 2, 1, 3, 3, 1, 2, 3, 0, 4, 4, 1, 4, 1, 0, 4, 4, 4, 2, 4, 4, 0, 0, 0, 1, 4, 1, 2, 1, 1, 3, 4, 1, 1, 1, 2, 3, 4, 4, 0, 2, 4, 1, 4, 1, 4, 0, 4, 4, 2, 4, 0, 2, 0, 2, 2, 4, 0, 4, 3, 1, 0, 2, 3, 1, 2, 0, 1, 0, 1, 3, 2, 2, 1, 0, 4, 0, 1, 2, 4, 2, 3, 3, 4, 1, 2, 1, 0, 1, 0, 3, 3, 4, 1, 4, 3, 3, 4, 0, 1, 0, 2, 3, 1, 2, 4, 3, 3, 2, 4, 3, 0, 0, 0, 1, 4, 3, 4, 2, 1, 4, 3, 2, 0, 1, 3, 3, 3, 0, 4, 0, 2, 2, 3, 0, 2, 0, 3, 3, 1, 1, 0, 4, 3, 2, 2, 2, 4, 1, 2, 2, 3, 4, 2, 0, 4, 1, 2, 3, 2, 1, 0, 1, 1, 2, 0, 1, 3, 4, 0, 3, 3, 3, 1, 2, 1, 0, 1, 4, 0, 0, 2, 4, 4, 3, 2, 4, 4, 1, 3, 3, 4, 3, 3, 3, 1, 1, 3, 3, 1, 0, 3, 0, 1, 1, 1, 1, 0, 2, 1, 2, 4, 0, 2, 2, 1, 4, 4, 4, 4, 4, 1, 1, 4, 3, 4, 1, 0, 1, 3, 4, 1, 3, 4, 2, 0, 4, 2, 0, 4, 0, 4, 4, 1, 3, 4, 4, 2, 1, 0, 3, 3, 2, 0, 2]
pubkeycol501 = [1, 2, 4, 4, 1, 3, 2, 4, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 4, 0, 0, 3, 1, 3, 4, 3, 1, 1, 0, 2, 4, 0, 0, 1, 0, 2, 0, 2, 2, 4, 1, 0, 3, 2, 1, 4, 2, 3, 0, 4, 4, 2, 4, 3, 2, 4, 4, 4, 2, 3, 1, 4, 2, 3, 2, 1, 1, 2, 2, 0, 4, 2, 3, 2, 2, 1, 3, 0, 0, 1, 3, 0, 2, 3, 3, 4, 0, 0, 3, 1, 0, 0, 4, 3, 1, 4, 0, 3, 1, 4, 0, 4, 4, 4, 4, 2, 2, 4, 0, 0, 3, 1, 0, 3, 2, 4, 4, 1, 0, 1, 0, 0, 3, 4, 1, 3, 3, 3, 2, 0, 3, 3, 3, 0, 1, 3, 4, 4, 0, 3, 2, 4, 1, 4, 1, 3, 1, 3, 3, 1, 3, 3, 4, 0, 3, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 4, 1, 3, 4, 2, 3, 1, 3, 3, 2, 1, 4, 2, 1, 4, 1, 2, 2, 3, 2, 4, 2, 3, 0, 2, 3, 1, 3, 4, 3, 0, 0, 2, 0, 4, 1, 3, 0, 1, 4, 0, 1, 0, 2, 4, 1, 4, 2, 1, 4, 3, 4, 3, 3, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 4, 0, 1, 3, 4, 4, 1, 1, 1, 3, 1, 3, 0, 4, 3, 1, 1, 0, 4, 4, 4, 3, 2, 1, 3, 3, 3, 4, 4, 3, 4, 2, 0, 0, 2, 2, 1, 2, 3, 3, 1, 2, 1, 0, 4, 2, 1, 1, 2, 3, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 4, 4, 0, 3, 3, 4, 1, 4, 2, 1, 2, 2, 2, 3, 2, 0, 0, 0, 0, 4, 2, 4, 1, 2, 2, 0]
pubkeycol502 = [3, 1, 2, 3, 1, 0, 4, 4, 1, 3, 2, 2, 4, 0, 3, 1, 0, 2, 0, 0, 3, 1, 3, 1, 1, 2, 2, 3, 4, 3, 1, 3, 4, 3, 3, 4, 1, 4, 4, 4, 3, 4, 0, 3, 3, 1, 2, 0, 0, 0, 1, 0, 4, 3, 3, 3, 1, 4, 3, 0, 3, 3, 4, 0, 1, 2, 0, 0, 3, 1, 1, 0, 1, 1, 1, 0, 0, 0, 4, 1, 4, 4, 1, 0, 0, 3, 4, 2, 4, 0, 0, 4, 3, 0, 1, 1, 3, 1, 0, 3, 4, 0, 2, 3, 0, 3, 1, 4, 4, 2, 4, 2, 1, 2, 0, 3, 3, 0, 0, 1, 1, 0, 3, 0, 0, 1, 4, 0, 2, 3, 3, 3, 1, 2, 0, 3, 4, 3, 1, 4, 1, 4, 2, 1, 3, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 3, 3, 3, 0, 3, 2, 4, 4, 3, 3, 4, 1, 2, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 1, 3, 0, 2, 2, 1, 3, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 4, 0, 0, 1, 4, 2, 2, 0, 4, 0, 2, 0, 4, 2, 2, 2, 0, 4, 1, 1, 0, 1, 2, 0, 1, 1, 1, 4, 4, 1, 3, 2, 1, 3, 2, 4, 2, 0, 3, 3, 4, 2, 4, 1, 2, 2, 4, 3, 1, 2, 0, 0, 3, 0, 1, 1, 2, 1, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 4, 0, 4, 2, 4, 4, 2, 0, 3, 1, 2, 3, 3, 1, 2, 1, 4, 1, 0, 0, 4, 3, 0, 1, 4, 2, 2, 2, 2, 0, 0, 3, 2, 3, 1, 0, 2, 3, 1, 1, 2, 4, 1, 1, 0, 0, 2, 3, 1, 1]
pubkeycol503 = [1, 3, 2, 4, 4, 1, 1, 0, 2, 3, 4, 2, 4, 4, 1, 4, 3, 0, 4, 2, 1, 3, 1, 1, 3, 3, 4, 4, 4, 2, 2, 3, 4, 2, 4, 1, 1, 3, 3, 1, 3, 0, 1, 2, 2, 3, 2, 2, 3, 1, 3, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 0, 2, 1, 4, 4, 0, 0, 2, 4, 1, 2, 3, 4, 0, 1, 2, 1, 1, 2, 0, 3, 1, 1, 0, 2, 1, 3, 1, 4, 4, 3, 4, 0, 2, 4, 2, 3, 4, 1, 0, 3, 1, 1, 2, 0, 1, 2, 1, 3, 0, 2, 3, 1, 2, 0, 3, 2, 3, 2, 4, 4, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 4, 2, 3, 3, 4, 1, 3, 1, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 4, 4, 0, 2, 0, 3, 2, 1, 1, 2, 4, 4, 0, 3, 3, 4, 4, 2, 3, 3, 0, 3, 3, 0, 1, 1, 0, 2, 4, 3, 0, 0, 1, 4, 1, 2, 1, 1, 0, 2, 1, 3, 0, 1, 4, 1, 2, 1, 1, 1, 0, 3, 1, 1, 1, 2, 4, 0, 3, 3, 3, 4, 2, 4, 1, 4, 4, 1, 4, 2, 4, 4, 4, 4, 4, 2, 2, 0, 3, 1, 3, 3, 3, 2, 1, 2, 4, 3, 4, 4, 2, 2, 2, 0, 4, 1, 3, 4, 1, 1, 1, 3, 3, 4, 2, 4, 3, 0, 4, 1, 4, 3, 4, 2, 1, 4, 4, 4, 4, 2, 3, 4, 1, 4, 2, 0, 3, 2, 1, 1, 2, 3, 0, 0, 1, 4, 4, 1, 1, 3, 4, 0, 0, 1, 4, 2, 2, 0, 3, 0, 3, 4, 0, 2, 1, 0, 0, 1, 0, 4, 0, 0, 0, 2, 2, 4, 2]
pubkeycol504 = [4, 2, 2, 1, 2, 1, 2, 1, 2, 1, 3, 2, 0, 0, 0, 0, 2, 3, 2, 3, 3, 0, 3, 2, 4, 2, 4, 2, 3, 2, 2, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 4, 1, 4, 2, 2, 2, 1, 0, 3, 0, 1, 4, 0, 2, 3, 3, 1, 3, 3, 2, 1, 0, 0, 4, 0, 4, 4, 3, 3, 1, 4, 0, 4, 2, 4, 4, 1, 3, 4, 3, 4, 3, 4, 4, 3, 4, 0, 3, 2, 4, 4, 3, 2, 0, 4, 4, 1, 0, 0, 1, 3, 3, 4, 0, 1, 3, 1, 4, 1, 2, 2, 2, 1, 2, 3, 4, 3, 1, 1, 2, 2, 1, 3, 4, 4, 1, 0, 4, 1, 3, 0, 2, 3, 4, 3, 3, 2, 2, 0, 3, 4, 0, 1, 0, 0, 4, 0, 3, 3, 0, 0, 2, 4, 1, 0, 0, 3, 3, 4, 2, 3, 0, 1, 0, 2, 2, 3, 3, 4, 0, 1, 3, 4, 2, 3, 4, 1, 0, 0, 4, 0, 0, 1, 4, 3, 4, 4, 1, 1, 4, 0, 3, 0, 4, 2, 0, 1, 2, 2, 1, 4, 3, 0, 4, 0, 4, 3, 4, 1, 1, 1, 3, 3, 2, 2, 3, 1, 0, 2, 4, 1, 2, 0, 0, 4, 1, 3, 0, 4, 0, 0, 0, 3, 1, 2, 4, 4, 3, 3, 3, 1, 0, 0, 2, 2, 0, 0, 3, 1, 4, 2, 2, 2, 0, 1, 4, 0, 2, 4, 0, 3, 0, 2, 0, 3, 4, 2, 1, 0, 1, 0, 3, 2, 2, 3, 1, 2, 0, 1, 1, 0, 4, 1, 1, 3, 1, 3, 1, 1, 2, 0, 0, 1, 4, 1, 1, 0, 1, 1, 2, 4, 3, 4, 0, 4, 0, 1, 4, 3, 0, 1, 1, 1, 4, 1]
pubkeycol505 = [3, 3, 4, 4, 2, 1, 1, 0, 3, 1, 1, 0, 3, 1, 0, 2, 4, 1, 0, 1, 4, 1, 4, 4, 2, 3, 1, 2, 4, 2, 1, 2, 3, 0, 2, 3, 1, 4, 1, 0, 4, 2, 2, 0, 2, 1, 4, 2, 4, 4, 3, 0, 1, 1, 2, 3, 0, 2, 1, 2, 2, 1, 4, 4, 2, 4, 1, 0, 1, 3, 1, 3, 4, 2, 4, 4, 0, 3, 0, 3, 2, 3, 3, 0, 4, 1, 1, 3, 2, 1, 4, 4, 0, 4, 3, 4, 3, 0, 4, 0, 3, 3, 4, 4, 0, 4, 4, 0, 1, 3, 3, 0, 2, 2, 1, 0, 3, 2, 0, 0, 1, 0, 4, 4, 2, 3, 2, 1, 4, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 1, 1, 2, 2, 2, 0, 3, 3, 3, 2, 2, 1, 1, 0, 0, 4, 4, 3, 1, 4, 2, 3, 2, 4, 0, 2, 0, 4, 4, 2, 0, 2, 1, 2, 0, 1, 2, 2, 4, 4, 1, 0, 1, 2, 4, 0, 1, 3, 4, 3, 0, 4, 4, 3, 3, 1, 4, 0, 2, 2, 3, 1, 1, 1, 0, 3, 2, 3, 0, 3, 0, 0, 1, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 3, 4, 1, 4, 3, 4, 1, 2, 0, 1, 3, 0, 0, 0, 3, 0, 4, 4, 4, 0, 3, 1, 0, 0, 1, 3, 1, 0, 4, 1, 4, 2, 3, 0, 3, 3, 0, 3, 3, 4, 1, 1, 0, 1, 4, 0, 4, 1, 3, 2, 3, 2, 3, 3, 3, 1, 3, 1, 1, 0, 1, 0, 4, 2, 3, 1, 2, 1, 1, 3, 2, 0, 1, 4, 2, 2, 2, 3, 3, 1, 3, 3, 4, 4, 0, 2, 4, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 4]
pubkeycol506 = [2, 2, 0, 3, 2, 1, 3, 0, 4, 4, 3, 0, 1, 0, 4, 0, 0, 4, 2, 0, 0, 4, 3, 1, 4, 4, 3, 3, 1, 3, 3, 2, 0, 2, 4, 2, 1, 3, 3, 3, 4, 1, 1, 0, 0, 4, 3, 0, 2, 3, 1, 1, 3, 4, 0, 2, 3, 2, 4, 3, 1, 2, 1, 4, 2, 1, 0, 0, 1, 3, 3, 1, 0, 2, 0, 0, 4, 1, 4, 1, 0, 0, 2, 4, 3, 1, 0, 0, 4, 2, 1, 1, 2, 1, 4, 2, 2, 0, 0, 2, 1, 0, 3, 3, 0, 3, 2, 0, 2, 0, 1, 1, 2, 3, 3, 1, 3, 4, 1, 1, 1, 2, 1, 0, 3, 1, 0, 4, 3, 2, 4, 4, 0, 4, 4, 3, 1, 4, 3, 4, 4, 3, 2, 3, 4, 3, 4, 0, 3, 2, 0, 0, 2, 1, 2, 4, 2, 4, 0, 2, 2, 2, 4, 3, 1, 1, 4, 2, 4, 1, 1, 0, 3, 0, 0, 1, 3, 3, 1, 3, 1, 4, 4, 0, 1, 1, 4, 3, 0, 3, 1, 4, 3, 1, 4, 0, 3, 0, 2, 0, 3, 1, 3, 4, 0, 2, 3, 3, 0, 2, 3, 1, 3, 2, 3, 4, 0, 0, 3, 1, 1, 1, 2, 2, 1, 4, 0, 2, 1, 3, 0, 1, 2, 1, 4, 4, 2, 3, 4, 1, 4, 4, 1, 2, 2, 2, 2, 1, 1, 4, 2, 4, 1, 0, 0, 3, 2, 3, 2, 1, 3, 0, 4, 4, 0, 0, 2, 1, 3, 0, 0, 1, 2, 3, 1, 1, 3, 0, 4, 2, 3, 2, 1, 3, 0, 2, 3, 4, 1, 0, 3, 0, 0, 4, 2, 2, 4, 4, 4, 2, 4, 0, 3, 0, 1, 0, 0, 3, 2, 0, 1, 3, 4, 4, 1, 1, 0, 2, 4, 0]
pubkeycol507 = [2, 1, 3, 0, 2, 2, 4, 3, 3, 0, 2, 3, 1, 1, 4, 3, 2, 2, 4, 0, 3, 0, 4, 2, 2, 4, 0, 4, 4, 3, 0, 0, 3, 3, 0, 0, 0, 1, 3, 4, 3, 0, 1, 0, 4, 3, 2, 2, 4, 0, 3, 4, 0, 3, 2, 4, 1, 0, 2, 0, 3, 2, 1, 4, 2, 4, 2, 0, 1, 2, 0, 2, 3, 1, 3, 4, 2, 4, 4, 1, 4, 2, 4, 3, 1, 3, 2, 3, 4, 0, 2, 2, 4, 4, 2, 3, 1, 4, 3, 1, 3, 0, 3, 3, 3, 3, 1, 0, 1, 4, 2, 3, 3, 1, 4, 4, 4, 0, 0, 2, 1, 0, 3, 4, 0, 4, 2, 3, 1, 0, 4, 2, 2, 0, 3, 4, 1, 2, 4, 3, 0, 2, 4, 0, 1, 1, 2, 1, 3, 0, 2, 2, 1, 1, 3, 2, 1, 0, 3, 2, 1, 1, 2, 3, 1, 1, 2, 4, 1, 0, 1, 2, 0, 0, 0, 1, 0, 4, 3, 4, 4, 3, 4, 2, 0, 1, 0, 4, 0, 2, 1, 2, 1, 2, 0, 3, 1, 1, 1, 0, 4, 0, 1, 0, 0, 2, 4, 3, 0, 1, 3, 1, 1, 2, 3, 1, 0, 0, 2, 2, 3, 0, 0, 1, 4, 2, 2, 4, 3, 1, 3, 0, 4, 4, 0, 4, 3, 1, 3, 4, 3, 2, 2, 4, 3, 3, 2, 1, 1, 1, 3, 3, 4, 3, 3, 0, 4, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 4, 3, 0, 1, 2, 3, 1, 0, 2, 1, 3, 1, 3, 0, 2, 3, 2, 2, 4, 1, 3, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 3, 0, 4, 0, 4, 0, 4, 3, 3, 1, 2, 3, 1, 3, 0, 0, 2, 4, 2, 3]
pubkeycol508 = [1, 1, 0, 3, 0, 1, 1, 0, 3, 4, 3, 1, 3, 1, 1, 1, 3, 2, 0, 4, 1, 1, 0, 3, 1, 2, 4, 2, 4, 3, 1, 4, 4, 0, 3, 1, 0, 1, 3, 1, 1, 1, 3, 1, 3, 0, 3, 4, 0, 2, 0, 0, 0, 3, 0, 0, 3, 3, 2, 1, 0, 4, 0, 3, 3, 0, 0, 2, 0, 1, 0, 3, 2, 3, 4, 3, 4, 1, 0, 1, 0, 0, 2, 3, 3, 3, 2, 4, 0, 4, 1, 1, 0, 2, 4, 0, 2, 4, 2, 2, 3, 0, 1, 0, 3, 1, 4, 3, 3, 0, 4, 4, 2, 1, 2, 1, 3, 4, 0, 1, 4, 3, 0, 4, 3, 0, 3, 2, 1, 0, 1, 4, 3, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 3, 2, 1, 3, 3, 1, 2, 3, 1, 3, 4, 2, 0, 2, 0, 3, 3, 4, 2, 0, 1, 2, 2, 3, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 3, 2, 1, 1, 0, 4, 0, 2, 0, 4, 2, 0, 3, 2, 3, 1, 1, 1, 3, 2, 0, 1, 2, 4, 4, 3, 0, 2, 3, 3, 3, 3, 2, 4, 3, 3, 3, 3, 0, 3, 1, 2, 4, 4, 3, 0, 2, 4, 3, 0, 4, 4, 3, 0, 2, 2, 3, 1, 1, 3, 3, 3, 2, 2, 1, 3, 2, 4, 0, 0, 2, 0, 4, 0, 1, 4, 4, 4, 4, 3, 0, 3, 3, 2, 3, 4, 2, 2, 3, 4, 3, 1, 2, 1, 0, 3, 0, 1, 1, 4, 1, 4, 0, 3, 0, 2, 3, 4, 2, 2, 1, 1, 3, 4, 2, 1, 2, 1, 1, 4, 4, 3, 4, 2, 0, 0, 4, 2, 0, 4, 3, 0, 4, 3, 1, 3, 4, 3]
pubkeycol509 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 3, 0, 0, 4, 0, 0, 3, 4, 1, 3, 2, 3, 3, 0, 2, 1, 0, 3, 0, 3, 4, 4, 3, 1, 0, 2, 2, 2, 3, 4, 3, 2, 0, 4, 1, 1, 4, 0, 0, 2, 4, 4, 0, 1, 0, 4, 0, 2, 0, 3, 0, 1, 3, 4, 0, 4, 3, 2, 2, 3, 3, 1, 3, 1, 2, 2, 0, 3, 3, 0, 3, 2, 1, 0, 4, 0, 2, 1, 3, 0, 1, 4, 0, 1, 3, 2, 0, 4, 2, 4, 1, 0, 3, 1, 2, 3, 4, 1, 3, 1, 0, 1, 1, 0, 3, 4, 2, 3, 4, 4, 0, 0, 4, 2, 1, 2, 3, 4, 1, 3, 2, 0, 1, 4, 3, 4, 2, 2, 4, 4, 1, 3, 4, 1, 3, 2, 2, 4, 4, 2, 1, 4, 2, 2, 1, 0, 3, 2, 0, 2, 4, 2, 0, 1, 2, 4, 4, 2, 0, 4, 0, 0, 3, 4, 1, 2, 4, 3, 2, 3, 4, 4, 2, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 1, 4, 4, 2, 1, 0, 3, 1, 2, 0, 3, 1, 1, 2, 0, 4, 2, 3, 2, 2, 4, 0, 4, 4, 2, 4, 1, 3, 3, 1, 2, 1, 1, 2, 3, 1, 0, 3, 2, 3, 1, 2, 1, 2, 4, 4, 2, 0, 0, 4, 4, 2, 0, 2, 1, 1, 0, 1, 4, 4, 1, 0, 4, 1, 1, 3, 3, 0, 0, 2, 3, 4, 2, 3, 2, 4, 4, 0, 2, 0, 4, 0, 1, 2, 0, 3, 4, 0, 0, 1, 4, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 3, 4, 3, 4, 3, 1, 4, 3, 1, 0, 2, 2, 0, 3, 2, 3, 1, 2, 0]
pubkeycol510 = [1, 2, 1, 3, 3, 0, 4, 0, 1, 1, 0, 0, 3, 4, 3, 4, 3, 0, 2, 0, 4, 4, 0, 1, 1, 3, 2, 0, 3, 1, 4, 4, 0, 2, 0, 3, 3, 0, 1, 1, 4, 3, 0, 0, 2, 3, 2, 0, 4, 4, 2, 3, 3, 4, 1, 2, 3, 0, 0, 1, 4, 0, 4, 4, 4, 3, 2, 4, 2, 4, 0, 4, 2, 0, 1, 2, 0, 3, 0, 2, 0, 1, 2, 2, 4, 0, 3, 4, 4, 2, 0, 1, 3, 3, 4, 3, 0, 4, 1, 0, 3, 1, 4, 0, 3, 3, 1, 2, 4, 4, 1, 4, 1, 3, 0, 2, 3, 3, 1, 0, 0, 0, 1, 2, 0, 3, 3, 2, 0, 3, 4, 1, 2, 0, 3, 4, 4, 4, 1, 3, 1, 2, 1, 1, 0, 1, 3, 1, 1, 2, 4, 1, 4, 0, 1, 0, 1, 2, 2, 0, 4, 0, 4, 2, 0, 4, 0, 0, 3, 2, 3, 3, 2, 2, 4, 2, 1, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 1, 4, 3, 1, 1, 3, 1, 3, 4, 1, 3, 4, 1, 3, 3, 4, 2, 1, 1, 2, 3, 0, 2, 4, 1, 4, 2, 2, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 2, 4, 3, 3, 2, 4, 0, 1, 3, 0, 1, 0, 4, 1, 3, 3, 0, 4, 0, 0, 0, 2, 2, 3, 0, 0, 1, 1, 4, 4, 1, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 1, 2, 0, 4, 3, 0, 4, 3, 4, 1, 4, 1, 4, 2, 2, 2, 1, 2, 3, 0, 4, 2, 1, 2, 2, 3, 1, 2, 4, 2, 1, 0, 4, 2, 1, 4, 0, 1, 3, 3, 2, 0, 1, 3, 2, 1, 0, 0, 1, 1]
pubkeycol511 = [2, 0, 4, 2, 4, 0, 2, 1, 4, 1, 0, 4, 3, 4, 1, 1, 2, 1, 3, 2, 2, 1, 3, 1, 0, 2, 1, 4, 2, 3, 0, 4, 2, 3, 1, 2, 3, 0, 0, 0, 2, 4, 0, 1, 1, 0, 1, 3, 1, 3, 0, 0, 3, 3, 4, 0, 4, 1, 4, 0, 2, 4, 3, 1, 3, 0, 0, 3, 2, 2, 1, 1, 1, 1, 4, 2, 4, 3, 1, 2, 1, 4, 2, 0, 1, 3, 3, 0, 3, 0, 3, 1, 1, 1, 2, 1, 3, 1, 3, 1, 2, 0, 2, 4, 0, 0, 3, 4, 3, 3, 0, 3, 0, 4, 4, 2, 1, 1, 3, 2, 3, 4, 2, 1, 4, 4, 1, 4, 4, 0, 1, 1, 2, 4, 2, 4, 3, 3, 3, 4, 1, 1, 2, 0, 4, 1, 2, 0, 0, 0, 3, 3, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 4, 2, 0, 3, 3, 2, 0, 0, 1, 3, 3, 0, 4, 2, 1, 0, 1, 2, 3, 2, 1, 4, 3, 0, 2, 3, 1, 0, 1, 0, 1, 3, 3, 2, 2, 4, 1, 0, 4, 2, 0, 0, 0, 3, 3, 0, 2, 4, 0, 3, 0, 0, 4, 4, 2, 4, 2, 4, 0, 1, 3, 0, 1, 0, 3, 1, 2, 3, 4, 0, 2, 3, 3, 4, 3, 1, 4, 3, 0, 1, 3, 0, 4, 4, 3, 2, 3, 0, 0, 0, 3, 4, 4, 1, 4, 3, 3, 1, 4, 4, 2, 0, 2, 2, 3, 4, 4, 3, 1, 0, 2, 4, 3, 1, 0, 3, 0, 4, 1, 2, 1, 4, 1, 2, 3, 0, 1, 2, 0, 4, 4, 2, 3, 3, 3, 1, 3, 2, 3, 2, 4, 1, 1, 4, 3, 3, 0, 1, 2, 2, 2, 1, 4, 4, 0]
pubkeycol512 = [0, 0, 1, 2, 0, 4, 4, 2, 4, 1, 2, 3, 0, 1, 3, 2, 3, 2, 2, 3, 2, 3, 0, 0, 0, 3, 0, 4, 1, 4, 3, 3, 0, 1, 2, 3, 4, 1, 0, 1, 4, 1, 2, 1, 4, 4, 4, 3, 0, 3, 1, 1, 1, 2, 1, 1, 2, 0, 4, 0, 4, 1, 4, 1, 1, 0, 0, 0, 1, 0, 3, 0, 0, 4, 0, 3, 1, 4, 1, 0, 4, 1, 4, 3, 1, 4, 2, 1, 1, 4, 2, 3, 3, 4, 0, 4, 1, 3, 4, 0, 2, 1, 2, 3, 3, 2, 2, 2, 4, 1, 4, 3, 3, 4, 1, 2, 4, 1, 2, 4, 3, 4, 1, 4, 4, 4, 4, 4, 0, 2, 3, 0, 4, 3, 2, 1, 0, 0, 4, 4, 4, 2, 3, 2, 1, 0, 0, 4, 3, 2, 2, 0, 0, 1, 4, 4, 0, 1, 0, 1, 1, 1, 0, 3, 4, 4, 0, 2, 2, 1, 1, 3, 1, 4, 1, 1, 0, 0, 3, 3, 4, 3, 1, 4, 0, 4, 4, 3, 4, 1, 2, 4, 3, 3, 3, 4, 4, 0, 1, 4, 2, 0, 3, 3, 0, 2, 2, 1, 3, 0, 3, 3, 3, 0, 1, 0, 4, 3, 4, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 3, 4, 4, 4, 2, 1, 2, 3, 3, 4, 1, 4, 3, 1, 4, 2, 2, 1, 4, 1, 0, 2, 1, 2, 0, 3, 4, 1, 3, 4, 1, 4, 2, 2, 4, 3, 2, 3, 2, 2, 1, 3, 0, 4, 0, 2, 4, 3, 3, 2, 0, 0, 1, 2, 4, 2, 0, 3, 0, 3, 1, 0, 2, 0, 1, 3, 3, 2, 3, 3, 0, 1, 2, 4, 4, 3, 0, 3, 2, 1, 1, 0, 1, 2, 1, 3, 4, 2, 2, 1, 1]
pubkeycol513 = [0, 3, 3, 2, 1, 1, 2, 4, 0, 4, 1, 4, 4, 4, 3, 2, 1, 4, 1, 1, 3, 2, 0, 4, 4, 4, 3, 0, 1, 2, 3, 1, 3, 4, 2, 1, 0, 2, 3, 0, 2, 2, 0, 3, 0, 2, 4, 2, 4, 1, 0, 2, 1, 1, 1, 4, 1, 0, 2, 4, 4, 2, 4, 3, 2, 4, 0, 2, 1, 0, 2, 4, 1, 2, 2, 3, 1, 1, 0, 1, 2, 1, 4, 3, 2, 3, 2, 1, 4, 1, 3, 4, 2, 2, 0, 1, 1, 3, 4, 3, 3, 1, 1, 1, 2, 4, 1, 3, 3, 1, 0, 4, 0, 2, 1, 1, 1, 1, 4, 4, 2, 4, 1, 0, 2, 0, 1, 3, 0, 0, 2, 3, 3, 3, 3, 3, 2, 4, 2, 3, 4, 3, 1, 0, 4, 1, 4, 1, 2, 1, 0, 4, 2, 1, 3, 3, 2, 4, 2, 0, 2, 3, 4, 4, 1, 4, 0, 2, 3, 4, 1, 3, 4, 1, 1, 0, 4, 2, 4, 0, 3, 4, 4, 2, 3, 0, 4, 4, 4, 1, 4, 0, 3, 4, 4, 2, 3, 0, 4, 4, 3, 2, 4, 4, 2, 1, 3, 4, 4, 0, 4, 3, 4, 2, 0, 1, 4, 2, 4, 1, 2, 3, 4, 4, 4, 3, 4, 4, 1, 2, 4, 2, 2, 4, 2, 1, 0, 0, 2, 1, 3, 1, 1, 0, 1, 4, 4, 1, 1, 4, 1, 2, 4, 3, 4, 4, 0, 2, 0, 0, 1, 2, 4, 0, 1, 2, 3, 1, 3, 1, 3, 3, 3, 1, 1, 0, 2, 4, 2, 2, 3, 4, 2, 2, 2, 1, 2, 3, 1, 0, 1, 4, 0, 0, 4, 2, 0, 0, 0, 3, 3, 2, 4, 1, 4, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 4, 4, 1, 4, 4]
pubkeycol514 = [3, 3, 4, 1, 1, 3, 4, 0, 3, 1, 1, 0, 2, 4, 4, 0, 0, 1, 3, 2, 2, 0, 2, 4, 3, 4, 2, 0, 4, 0, 1, 3, 4, 4, 1, 0, 1, 3, 2, 1, 3, 4, 0, 4, 2, 4, 4, 3, 4, 2, 0, 3, 3, 1, 4, 3, 3, 3, 3, 3, 1, 1, 1, 2, 3, 3, 2, 1, 3, 3, 0, 1, 0, 1, 4, 2, 1, 0, 4, 0, 4, 0, 3, 1, 4, 3, 4, 4, 0, 1, 3, 4, 2, 1, 4, 2, 3, 2, 1, 4, 1, 2, 4, 0, 2, 0, 1, 3, 3, 2, 4, 4, 1, 2, 2, 1, 1, 1, 4, 0, 1, 2, 0, 4, 3, 0, 3, 0, 0, 3, 1, 0, 0, 2, 0, 1, 1, 0, 3, 3, 3, 4, 1, 0, 3, 1, 2, 1, 3, 4, 1, 2, 4, 1, 1, 1, 1, 1, 4, 2, 3, 1, 1, 1, 4, 2, 2, 0, 4, 1, 1, 3, 1, 4, 2, 3, 0, 1, 1, 3, 3, 1, 4, 0, 3, 1, 2, 4, 3, 2, 3, 2, 3, 3, 2, 3, 1, 4, 0, 4, 1, 2, 4, 1, 3, 0, 2, 0, 4, 4, 2, 3, 0, 4, 3, 3, 1, 1, 3, 3, 0, 1, 4, 3, 0, 0, 2, 1, 2, 2, 0, 2, 2, 3, 1, 4, 3, 2, 0, 0, 3, 1, 1, 0, 0, 0, 2, 2, 2, 3, 4, 4, 3, 4, 4, 2, 3, 0, 1, 3, 0, 2, 4, 0, 2, 2, 2, 3, 0, 3, 0, 4, 0, 3, 2, 2, 1, 2, 1, 3, 2, 1, 3, 2, 4, 4, 4, 4, 1, 1, 0, 1, 0, 0, 4, 2, 0, 4, 1, 2, 3, 0, 2, 3, 4, 3, 1, 3, 1, 1, 0, 4, 1, 1, 4, 1, 1, 2, 4, 1]
pubkeycol515 = [2, 4, 4, 4, 1, 4, 4, 0, 4, 2, 0, 2, 0, 0, 2, 0, 4, 1, 2, 2, 2, 2, 3, 4, 1, 4, 2, 3, 4, 1, 4, 2, 1, 3, 3, 1, 4, 4, 1, 3, 1, 2, 3, 2, 3, 1, 3, 3, 2, 2, 3, 2, 0, 3, 4, 3, 2, 4, 0, 2, 3, 1, 4, 3, 3, 0, 2, 1, 2, 4, 1, 3, 4, 4, 1, 2, 3, 4, 0, 2, 3, 1, 3, 0, 0, 3, 1, 2, 1, 1, 0, 2, 0, 4, 3, 1, 0, 3, 0, 3, 2, 0, 0, 4, 0, 0, 2, 4, 3, 1, 4, 4, 3, 0, 3, 1, 1, 1, 3, 2, 3, 4, 0, 2, 0, 1, 0, 3, 2, 1, 1, 2, 3, 0, 3, 0, 2, 3, 3, 2, 1, 4, 3, 4, 0, 2, 3, 3, 4, 1, 3, 0, 0, 1, 4, 2, 4, 0, 2, 3, 3, 3, 1, 2, 2, 0, 0, 1, 0, 2, 1, 4, 0, 3, 2, 3, 0, 4, 3, 2, 0, 4, 3, 0, 0, 0, 4, 0, 2, 4, 1, 0, 1, 3, 1, 4, 1, 4, 0, 3, 1, 1, 1, 3, 3, 3, 1, 3, 0, 1, 0, 0, 4, 3, 3, 2, 2, 0, 0, 3, 1, 2, 1, 0, 4, 0, 1, 3, 4, 2, 0, 2, 4, 3, 1, 0, 3, 0, 1, 4, 4, 4, 0, 2, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 4, 1, 3, 4, 1, 4, 2, 3, 0, 3, 1, 2, 4, 3, 4, 4, 4, 2, 2, 0, 4, 0, 4, 2, 3, 2, 3, 0, 4, 4, 2, 2, 1, 3, 0, 2, 3, 0, 0, 1, 0, 3, 4, 0, 2, 4, 1, 0, 0, 3, 2, 2, 0, 2, 1, 1, 0, 3, 1, 2, 0, 4, 1, 4]
pubkeycol516 = [2, 1, 4, 4, 3, 3, 2, 3, 3, 2, 0, 1, 2, 0, 4, 1, 3, 0, 2, 1, 4, 3, 3, 1, 4, 3, 1, 4, 2, 3, 4, 3, 4, 1, 2, 1, 4, 4, 4, 2, 2, 2, 4, 3, 0, 4, 2, 3, 4, 0, 4, 2, 1, 1, 0, 3, 0, 0, 4, 3, 3, 0, 2, 3, 1, 4, 4, 1, 0, 4, 4, 1, 4, 4, 0, 1, 2, 2, 3, 4, 4, 1, 1, 1, 1, 1, 4, 3, 4, 2, 3, 2, 0, 0, 0, 2, 3, 2, 2, 3, 3, 2, 0, 4, 4, 2, 3, 2, 3, 1, 4, 2, 2, 3, 4, 1, 2, 0, 2, 0, 4, 2, 0, 2, 4, 1, 0, 4, 4, 2, 0, 0, 0, 4, 4, 1, 4, 0, 3, 3, 1, 1, 3, 0, 3, 2, 0, 3, 1, 4, 1, 0, 4, 1, 1, 2, 4, 0, 0, 1, 4, 1, 0, 4, 3, 1, 3, 1, 2, 4, 4, 2, 1, 1, 1, 4, 3, 3, 3, 0, 1, 2, 2, 2, 0, 3, 3, 0, 2, 2, 3, 0, 3, 0, 0, 1, 1, 1, 4, 3, 0, 2, 3, 4, 3, 0, 1, 0, 2, 1, 3, 0, 0, 2, 3, 3, 1, 0, 0, 4, 0, 0, 0, 3, 0, 1, 1, 4, 1, 2, 3, 1, 3, 3, 4, 4, 2, 4, 2, 3, 3, 3, 3, 2, 4, 4, 2, 2, 1, 0, 3, 1, 3, 3, 2, 2, 2, 3, 1, 4, 3, 3, 2, 1, 0, 2, 4, 3, 1, 3, 2, 4, 2, 4, 3, 3, 0, 2, 0, 3, 3, 3, 1, 1, 3, 2, 1, 3, 4, 1, 0, 1, 4, 4, 4, 2, 4, 2, 3, 3, 2, 1, 3, 1, 0, 0, 2, 0, 1, 4, 2, 3, 1, 1, 4, 3, 2, 3, 0, 4]
pubkeycol517 = [4, 3, 2, 4, 0, 4, 4, 3, 3, 2, 3, 0, 4, 0, 4, 0, 0, 2, 3, 2, 2, 4, 1, 4, 3, 0, 3, 2, 2, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 3, 0, 4, 1, 1, 0, 2, 3, 4, 0, 0, 2, 1, 0, 1, 0, 4, 1, 0, 4, 2, 1, 0, 4, 4, 0, 2, 2, 1, 4, 0, 4, 2, 2, 1, 0, 2, 3, 4, 4, 4, 3, 0, 0, 2, 0, 2, 4, 3, 0, 0, 1, 4, 3, 4, 3, 4, 1, 0, 4, 4, 1, 2, 2, 3, 3, 4, 0, 1, 0, 4, 2, 2, 3, 1, 2, 3, 3, 3, 3, 0, 2, 1, 2, 4, 1, 2, 1, 0, 0, 2, 1, 2, 1, 3, 3, 4, 4, 3, 4, 2, 1, 0, 1, 4, 4, 4, 2, 1, 1, 2, 1, 1, 2, 1, 3, 2, 3, 0, 3, 3, 0, 0, 4, 0, 3, 4, 1, 1, 1, 2, 3, 0, 4, 1, 2, 1, 3, 2, 0, 2, 3, 2, 1, 1, 0, 4, 2, 4, 0, 0, 4, 1, 4, 1, 4, 3, 4, 1, 2, 0, 1, 0, 1, 1, 3, 0, 0, 4, 0, 1, 1, 0, 0, 1, 1, 3, 4, 1, 4, 3, 1, 1, 2, 3, 0, 1, 4, 3, 1, 4, 4, 3, 2, 2, 4, 1, 2, 4, 4, 0, 2, 1, 4, 1, 3, 0, 0, 0, 3, 2, 1, 1, 4, 0, 1, 1, 3, 0, 1, 0, 2, 4, 0, 2, 0, 3, 0, 4, 1, 4, 0, 3, 0, 3, 3, 4, 2, 2, 2, 3, 2, 0, 4, 2, 2, 2, 3, 3, 3, 1, 0, 4, 2, 0, 4, 1, 0, 4, 3, 2, 3, 4, 0, 3, 0, 4, 3, 3, 0, 0, 2, 3, 1, 2, 0, 1, 3, 2, 2]
pubkeycol518 = [2, 0, 4, 4, 3, 3, 3, 2, 2, 0, 4, 4, 4, 1, 4, 3, 1, 1, 2, 0, 4, 2, 2, 0, 4, 3, 3, 2, 2, 4, 0, 1, 3, 1, 0, 3, 3, 4, 4, 1, 1, 3, 2, 0, 1, 1, 2, 0, 1, 1, 3, 0, 1, 3, 0, 2, 4, 4, 1, 0, 1, 2, 4, 4, 0, 0, 3, 3, 3, 2, 4, 2, 2, 3, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 4, 1, 2, 3, 4, 2, 1, 4, 4, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 4, 3, 3, 4, 3, 0, 2, 3, 1, 4, 0, 1, 1, 4, 2, 3, 0, 1, 3, 2, 1, 1, 3, 4, 1, 1, 1, 0, 0, 2, 4, 1, 1, 2, 2, 3, 4, 1, 2, 2, 0, 4, 4, 4, 1, 0, 1, 4, 0, 0, 2, 1, 1, 4, 4, 1, 4, 4, 3, 2, 3, 0, 2, 4, 3, 2, 0, 2, 2, 4, 0, 3, 3, 2, 2, 0, 1, 0, 4, 3, 4, 0, 2, 1, 1, 3, 4, 3, 1, 2, 0, 3, 3, 1, 1, 1, 0, 2, 1, 4, 0, 1, 2, 4, 0, 2, 4, 2, 4, 0, 0, 1, 2, 1, 3, 2, 0, 2, 1, 1, 1, 2, 3, 1, 0, 4, 3, 3, 0, 2, 4, 0, 4, 0, 4, 3, 1, 1, 3, 2, 4, 2, 2, 2, 1, 4, 3, 4, 1, 0, 2, 3, 0, 4, 0, 2, 1, 3, 3, 3, 4, 3, 1, 1, 3, 4, 0, 2, 0, 4, 0, 2, 2, 0, 1, 1, 1, 3, 2, 2, 4, 3, 4, 2, 2, 1, 3, 3, 1, 2, 2, 4, 1, 1, 4, 2, 1, 0, 1, 1, 3, 1, 0, 2, 2, 2, 1, 1, 4, 1, 2, 4, 0, 4, 3]
pubkeycol519 = [4, 0, 0, 3, 3, 2, 4, 4, 2, 4, 4, 4, 3, 4, 1, 0, 2, 2, 3, 0, 3, 4, 4, 3, 1, 4, 0, 0, 2, 1, 0, 1, 1, 1, 4, 0, 4, 2, 3, 0, 3, 2, 0, 4, 1, 3, 3, 2, 4, 0, 1, 0, 0, 4, 2, 3, 4, 3, 1, 3, 3, 1, 1, 1, 0, 2, 4, 0, 0, 0, 1, 2, 4, 0, 1, 4, 4, 4, 3, 1, 4, 3, 3, 1, 1, 1, 1, 3, 1, 1, 4, 3, 3, 3, 3, 1, 2, 2, 4, 4, 0, 3, 1, 3, 2, 0, 1, 2, 4, 1, 3, 1, 2, 2, 0, 4, 2, 4, 3, 4, 3, 4, 2, 3, 3, 2, 4, 1, 3, 4, 2, 3, 4, 4, 0, 2, 2, 0, 3, 3, 4, 2, 2, 0, 0, 0, 4, 0, 1, 1, 2, 2, 4, 0, 1, 1, 1, 0, 0, 3, 0, 0, 3, 0, 3, 4, 4, 0, 2, 1, 2, 4, 4, 3, 4, 2, 4, 4, 4, 3, 4, 3, 2, 0, 1, 1, 0, 3, 0, 4, 1, 0, 2, 4, 2, 4, 1, 0, 2, 2, 3, 1, 0, 1, 0, 0, 1, 3, 3, 0, 1, 0, 2, 4, 4, 2, 4, 2, 2, 1, 4, 4, 3, 1, 1, 2, 0, 4, 3, 2, 4, 0, 2, 3, 4, 1, 1, 2, 3, 1, 0, 2, 1, 0, 4, 0, 2, 0, 0, 1, 3, 1, 2, 0, 3, 3, 3, 4, 4, 4, 3, 2, 0, 1, 4, 1, 2, 2, 3, 2, 3, 1, 1, 3, 1, 4, 2, 2, 3, 3, 2, 3, 3, 2, 0, 4, 3, 2, 4, 0, 1, 4, 3, 0, 4, 2, 2, 2, 3, 2, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 4, 1, 3, 2, 0]
pubkeycol520 = [0, 0, 0, 0, 2, 2, 4, 2, 1, 1, 0, 1, 0, 1, 3, 2, 1, 3, 2, 1, 4, 0, 4, 4, 3, 0, 0, 2, 4, 1, 1, 2, 3, 2, 3, 3, 4, 2, 0, 3, 3, 2, 3, 3, 2, 0, 1, 0, 0, 2, 3, 2, 0, 0, 2, 4, 2, 4, 4, 2, 3, 4, 4, 2, 0, 0, 4, 2, 1, 4, 2, 0, 0, 4, 2, 0, 0, 4, 0, 3, 4, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 3, 2, 0, 0, 0, 0, 2, 4, 4, 4, 1, 2, 1, 1, 3, 3, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 4, 0, 4, 4, 0, 2, 4, 2, 1, 0, 0, 2, 3, 1, 0, 1, 3, 4, 3, 4, 2, 2, 1, 4, 2, 1, 3, 1, 0, 2, 1, 4, 2, 2, 3, 0, 3, 4, 1, 2, 4, 1, 1, 4, 4, 3, 1, 0, 2, 1, 3, 2, 3, 0, 0, 2, 3, 0, 2, 3, 3, 3, 1, 4, 2, 1, 1, 4, 0, 4, 3, 3, 2, 1, 0, 1, 4, 1, 3, 3, 0, 2, 2, 3, 1, 4, 2, 0, 3, 3, 1, 1, 3, 1, 0, 1, 0, 1, 1, 3, 4, 3, 3, 3, 1, 2, 4, 4, 1, 3, 3, 0, 3, 2, 1, 4, 0, 4, 1, 4, 0, 3, 4, 4, 3, 1, 2, 2, 3, 1, 3, 2, 3, 1, 2, 3, 1, 3, 3, 4, 4, 0, 0, 1, 1, 1, 3, 4, 3, 0, 2, 4, 4, 0, 4, 3, 3, 0, 2, 2, 4, 0, 3, 0, 3, 0, 0, 0, 2, 0, 4, 1, 0, 3, 3, 4, 4, 0, 1, 3, 3, 1, 4, 3, 2, 1, 0, 4]
pubkeycol521 = [1, 1, 0, 0, 0, 4, 0, 3, 3, 4, 2, 1, 4, 2, 2, 3, 0, 0, 3, 3, 1, 4, 3, 3, 2, 0, 0, 3, 4, 2, 1, 0, 1, 3, 1, 4, 4, 1, 4, 2, 4, 2, 0, 0, 1, 1, 3, 4, 4, 3, 4, 2, 0, 0, 4, 2, 3, 3, 2, 3, 0, 2, 0, 3, 0, 4, 1, 0, 1, 1, 2, 4, 2, 1, 4, 0, 3, 3, 3, 3, 4, 4, 1, 1, 2, 3, 1, 1, 0, 1, 2, 2, 4, 1, 4, 4, 4, 2, 2, 0, 0, 2, 3, 2, 3, 0, 4, 4, 4, 2, 3, 3, 2, 4, 3, 4, 0, 3, 0, 1, 0, 1, 1, 4, 1, 2, 0, 3, 3, 2, 4, 4, 0, 1, 1, 0, 4, 0, 4, 2, 3, 1, 3, 4, 3, 1, 1, 0, 0, 0, 2, 3, 1, 2, 0, 2, 3, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 4, 1, 1, 3, 4, 4, 0, 4, 2, 1, 3, 2, 1, 0, 1, 4, 2, 3, 4, 1, 3, 1, 0, 1, 1, 3, 1, 2, 2, 3, 2, 4, 0, 4, 1, 2, 2, 3, 2, 1, 3, 4, 0, 1, 0, 3, 2, 0, 2, 1, 3, 0, 2, 0, 2, 4, 4, 1, 3, 3, 0, 4, 0, 2, 0, 2, 4, 1, 3, 3, 2, 3, 0, 0, 2, 2, 1, 4, 4, 4, 2, 1, 1, 3, 0, 4, 2, 0, 0, 1, 0, 3, 0, 3, 4, 4, 1, 0, 3, 4, 1, 4, 4, 2, 4, 1, 3, 1, 0, 0, 2, 1, 4, 1, 2, 2, 1, 0, 1, 2, 4, 1, 1, 1, 2, 0, 2, 3, 1, 1, 4, 0, 3, 2, 3, 2, 3, 3, 4, 0, 3, 2, 2, 2, 0, 4, 2, 3, 1, 2, 0, 1, 4]
pubkeycol522 = [0, 2, 2, 2, 4, 3, 2, 4, 3, 4, 1, 3, 0, 3, 0, 0, 4, 3, 1, 4, 0, 4, 3, 0, 1, 4, 4, 3, 3, 4, 0, 2, 0, 2, 1, 0, 1, 2, 3, 1, 4, 3, 2, 2, 0, 4, 0, 3, 4, 1, 4, 0, 0, 0, 3, 4, 4, 0, 1, 1, 1, 2, 0, 1, 2, 3, 0, 2, 1, 2, 2, 1, 2, 4, 4, 4, 3, 2, 1, 3, 2, 0, 1, 2, 1, 4, 0, 3, 0, 3, 3, 1, 2, 0, 2, 4, 3, 1, 2, 2, 1, 3, 1, 1, 0, 3, 3, 1, 2, 4, 2, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 3, 2, 4, 4, 1, 1, 1, 1, 1, 4, 0, 1, 2, 2, 4, 2, 0, 1, 0, 0, 3, 2, 0, 1, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 3, 3, 2, 0, 2, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 3, 1, 1, 2, 1, 3, 2, 1, 0, 2, 1, 3, 4, 2, 0, 0, 3, 2, 1, 3, 3, 2, 4, 3, 0, 0, 4, 0, 4, 2, 3, 0, 3, 0, 0, 0, 4, 3, 2, 1, 2, 3, 3, 2, 4, 1, 2, 4, 1, 0, 4, 2, 4, 3, 2, 2, 2, 0, 0, 3, 4, 0, 0, 2, 4, 3, 1, 0, 1, 2, 0, 0, 4, 1, 1, 1, 3, 3, 3, 1, 4, 4, 3, 2, 2, 0, 2, 3, 4, 0, 0, 3, 4, 2, 0, 4, 4, 2, 0, 4, 4, 1, 2, 1, 4, 4, 2, 0, 4, 4, 2, 1, 4, 4, 3, 1, 2, 0, 3, 2, 3, 4, 2, 2, 3, 3, 4, 4, 0, 0, 1, 4, 1, 3, 1, 1, 0, 4]
pubkeycol523 = [0, 4, 4, 2, 0, 0, 2, 1, 4, 2, 2, 3, 0, 2, 1, 3, 4, 4, 1, 3, 2, 1, 1, 0, 2, 2, 1, 3, 2, 1, 4, 2, 4, 1, 0, 3, 3, 4, 3, 2, 1, 3, 4, 0, 1, 0, 0, 4, 1, 0, 3, 4, 2, 1, 1, 0, 0, 0, 2, 2, 3, 2, 0, 1, 3, 4, 4, 2, 2, 0, 0, 4, 4, 2, 3, 0, 4, 2, 2, 4, 0, 1, 0, 4, 4, 0, 0, 1, 3, 0, 4, 4, 2, 0, 1, 4, 1, 2, 4, 3, 4, 0, 0, 2, 2, 2, 4, 0, 4, 4, 4, 0, 0, 3, 2, 2, 0, 1, 4, 2, 4, 0, 0, 4, 0, 4, 4, 4, 0, 3, 4, 1, 3, 1, 0, 3, 4, 1, 0, 1, 4, 2, 0, 0, 0, 0, 1, 4, 3, 2, 3, 2, 4, 0, 3, 3, 0, 0, 2, 4, 4, 2, 2, 2, 0, 1, 1, 1, 3, 0, 0, 2, 2, 0, 0, 1, 3, 2, 4, 1, 0, 4, 1, 4, 0, 0, 0, 1, 1, 3, 2, 0, 2, 0, 3, 1, 0, 4, 2, 3, 1, 3, 4, 3, 3, 3, 0, 4, 2, 1, 1, 0, 3, 4, 0, 0, 3, 2, 3, 2, 2, 1, 3, 2, 2, 4, 4, 4, 1, 4, 4, 4, 2, 1, 0, 1, 0, 3, 1, 0, 2, 3, 3, 1, 3, 4, 2, 1, 0, 2, 0, 2, 4, 3, 4, 2, 3, 3, 1, 1, 1, 2, 4, 3, 3, 1, 1, 4, 2, 0, 3, 4, 0, 1, 1, 0, 1, 1, 2, 3, 1, 2, 4, 3, 3, 3, 1, 1, 3, 3, 3, 1, 3, 2, 4, 0, 3, 4, 2, 1, 0, 3, 3, 4, 4, 0, 3, 3, 0, 2, 2, 2, 4, 1, 0, 3, 2, 2, 4, 2]
pubkeycol524 = [1, 2, 1, 4, 0, 1, 1, 1, 0, 0, 1, 0, 2, 3, 4, 4, 3, 3, 2, 4, 3, 1, 0, 1, 2, 1, 1, 4, 4, 4, 0, 1, 1, 2, 0, 2, 1, 4, 1, 1, 3, 4, 0, 4, 4, 2, 2, 2, 2, 3, 0, 4, 4, 4, 2, 3, 0, 3, 2, 3, 4, 1, 0, 1, 2, 2, 2, 4, 1, 4, 2, 2, 2, 3, 4, 1, 1, 4, 2, 2, 1, 0, 3, 2, 1, 3, 1, 4, 1, 4, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 4, 3, 0, 4, 1, 3, 4, 3, 0, 3, 1, 4, 0, 4, 4, 3, 3, 4, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 4, 1, 0, 0, 1, 0, 3, 1, 3, 2, 4, 0, 1, 4, 4, 2, 3, 0, 1, 1, 0, 0, 1, 4, 4, 2, 4, 2, 3, 2, 3, 0, 3, 2, 0, 1, 2, 3, 3, 3, 0, 1, 0, 4, 0, 2, 2, 2, 0, 0, 3, 1, 0, 3, 4, 2, 2, 2, 1, 2, 0, 4, 0, 2, 0, 4, 0, 2, 3, 3, 3, 2, 1, 0, 0, 3, 0, 4, 4, 0, 2, 3, 2, 0, 2, 4, 0, 3, 1, 3, 2, 3, 3, 3, 3, 4, 4, 2, 1, 0, 3, 0, 0, 2, 4, 0, 0, 3, 3, 1, 2, 3, 0, 2, 1, 3, 2, 4, 1, 4, 1, 3, 4, 0, 3, 3, 2, 0, 1, 2, 2, 3, 2, 2, 2, 1, 2, 1, 0, 4, 3, 4, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 3, 2, 2, 1, 3, 2, 0, 4, 2, 1, 0, 3, 3, 0, 2, 3, 0, 0, 2, 3, 1, 0, 1, 0, 4, 2, 1, 0, 4, 4, 2, 2, 2, 4, 3]
pubkeycol525 = [4, 0, 3, 2, 2, 4, 2, 3, 3, 0, 3, 2, 4, 4, 1, 0, 0, 1, 3, 4, 4, 0, 1, 4, 1, 3, 1, 3, 1, 3, 0, 2, 3, 4, 3, 3, 4, 3, 1, 3, 4, 1, 0, 0, 4, 3, 1, 4, 2, 4, 0, 3, 3, 0, 1, 0, 3, 2, 4, 2, 2, 0, 0, 4, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 1, 4, 0, 3, 1, 0, 2, 4, 1, 1, 2, 1, 4, 1, 1, 0, 3, 3, 4, 3, 4, 3, 0, 1, 0, 1, 1, 4, 1, 0, 1, 0, 1, 0, 4, 1, 0, 4, 0, 1, 0, 2, 3, 2, 0, 1, 4, 0, 1, 1, 4, 3, 1, 3, 1, 2, 0, 3, 4, 3, 2, 4, 1, 3, 1, 1, 4, 3, 0, 2, 1, 2, 4, 2, 0, 1, 4, 3, 3, 0, 1, 1, 3, 2, 3, 1, 3, 1, 4, 0, 2, 1, 0, 0, 2, 4, 3, 1, 4, 1, 2, 2, 2, 3, 3, 4, 2, 4, 0, 1, 0, 0, 3, 0, 2, 4, 3, 4, 4, 1, 4, 4, 4, 2, 2, 4, 0, 2, 2, 2, 1, 0, 1, 1, 2, 3, 4, 1, 1, 3, 4, 4, 2, 1, 3, 3, 3, 0, 4, 2, 3, 3, 1, 1, 2, 2, 4, 2, 1, 2, 4, 2, 0, 2, 2, 1, 3, 2, 1, 1, 1, 2, 2, 4, 1, 1, 0, 3, 4, 3, 2, 3, 2, 1, 1, 0, 2, 4, 4, 1, 0, 4, 0, 0, 3, 0, 4, 4, 4, 4, 3, 0, 0, 1, 1, 1, 2, 0, 4, 0, 0, 4, 3, 4, 0, 4, 4, 1, 3, 4, 1, 4, 0, 0, 2, 0, 2, 3, 2, 3, 1, 4, 3, 2, 2, 4, 2, 0, 3, 2, 0, 1, 4, 0, 1, 1]
pubkeycol526 = [4, 2, 4, 0, 3, 4, 2, 4, 1, 0, 2, 4, 0, 1, 1, 3, 3, 2, 3, 0, 2, 3, 1, 2, 2, 3, 0, 4, 0, 4, 0, 1, 0, 2, 3, 2, 2, 0, 0, 4, 2, 2, 1, 0, 1, 3, 2, 4, 2, 1, 4, 4, 4, 3, 2, 1, 4, 3, 0, 3, 3, 0, 1, 2, 1, 1, 3, 1, 0, 0, 2, 3, 1, 4, 2, 1, 4, 4, 0, 4, 0, 0, 2, 0, 0, 0, 3, 2, 4, 0, 2, 0, 2, 1, 1, 3, 1, 0, 2, 1, 3, 2, 2, 4, 3, 4, 2, 0, 3, 0, 4, 1, 3, 3, 4, 3, 0, 1, 3, 4, 3, 3, 0, 3, 4, 4, 1, 4, 1, 4, 3, 0, 0, 4, 3, 4, 2, 4, 3, 0, 1, 2, 4, 2, 3, 1, 4, 1, 1, 0, 4, 2, 4, 3, 3, 3, 2, 2, 0, 4, 4, 0, 0, 2, 0, 0, 4, 3, 2, 2, 1, 0, 3, 0, 3, 0, 4, 3, 1, 3, 4, 0, 4, 2, 2, 2, 1, 3, 2, 1, 1, 4, 0, 4, 2, 2, 2, 1, 2, 3, 1, 2, 0, 4, 3, 4, 3, 4, 4, 2, 0, 0, 2, 1, 4, 2, 3, 1, 0, 1, 3, 1, 2, 0, 2, 1, 3, 0, 2, 1, 3, 1, 2, 3, 3, 1, 1, 2, 3, 4, 0, 0, 4, 3, 1, 3, 0, 3, 4, 0, 2, 2, 3, 2, 3, 4, 2, 1, 3, 1, 1, 0, 3, 0, 4, 2, 4, 2, 1, 2, 1, 2, 4, 3, 3, 1, 0, 1, 2, 2, 2, 4, 0, 3, 1, 1, 0, 4, 0, 1, 1, 3, 4, 4, 4, 4, 4, 0, 4, 4, 3, 4, 4, 3, 2, 2, 3, 1, 4, 4, 2, 2, 1, 1, 1, 1, 0, 2, 0, 3]
pubkeycol527 = [4, 3, 0, 3, 2, 4, 4, 3, 4, 3, 2, 4, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 4, 3, 2, 1, 3, 1, 4, 0, 0, 2, 0, 3, 2, 1, 0, 0, 2, 0, 2, 1, 1, 3, 3, 0, 1, 0, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 3, 3, 3, 1, 2, 2, 4, 2, 2, 1, 4, 0, 3, 2, 0, 3, 3, 0, 3, 2, 1, 1, 3, 3, 0, 0, 3, 3, 4, 4, 3, 0, 4, 1, 1, 3, 2, 2, 2, 2, 1, 0, 0, 2, 4, 4, 1, 2, 4, 0, 3, 1, 2, 2, 1, 3, 0, 3, 2, 0, 3, 0, 0, 2, 4, 2, 0, 1, 1, 3, 1, 0, 4, 1, 4, 0, 0, 3, 0, 1, 0, 4, 1, 0, 0, 1, 2, 3, 4, 2, 1, 3, 0, 0, 1, 2, 2, 1, 0, 3, 4, 3, 4, 4, 3, 1, 4, 3, 2, 0, 4, 0, 0, 0, 2, 3, 0, 2, 1, 1, 0, 1, 4, 0, 1, 1, 2, 2, 3, 3, 0, 3, 1, 2, 2, 2, 1, 4, 3, 3, 1, 0, 0, 3, 0, 1, 2, 2, 0, 4, 4, 4, 4, 2, 4, 1, 3, 1, 2, 2, 3, 2, 4, 2, 1, 4, 0, 1, 4, 2, 3, 4, 2, 4, 0, 1, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 2, 2, 0, 1, 2, 4, 1, 2, 0, 3, 1, 2, 4, 1, 3, 1, 4, 2, 2, 2, 0, 3, 2, 2, 3, 0, 3, 2, 3, 3, 4, 2, 3, 3, 4, 1, 4, 0, 3, 2, 1, 0, 4, 0, 0, 0, 2, 4, 2, 4, 4, 0, 4, 3, 1, 3, 1, 0, 4, 0, 1, 1, 4, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2]
pubkeycol528 = [0, 1, 2, 0, 4, 2, 1, 0, 4, 4, 2, 1, 0, 4, 2, 2, 2, 0, 4, 3, 0, 4, 2, 0, 0, 2, 3, 4, 4, 4, 0, 4, 0, 1, 4, 1, 1, 1, 1, 4, 2, 2, 2, 1, 4, 1, 1, 1, 1, 2, 3, 0, 2, 2, 1, 3, 2, 3, 0, 3, 3, 4, 0, 0, 0, 0, 1, 2, 4, 0, 3, 0, 2, 4, 3, 3, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 3, 0, 4, 4, 0, 1, 0, 3, 2, 0, 0, 4, 3, 3, 2, 3, 1, 1, 2, 4, 0, 3, 1, 0, 3, 3, 2, 4, 4, 4, 3, 2, 0, 4, 1, 3, 1, 3, 1, 3, 3, 4, 3, 4, 2, 3, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 4, 3, 3, 3, 4, 1, 1, 3, 1, 1, 3, 3, 3, 0, 4, 0, 0, 3, 0, 2, 0, 3, 0, 3, 3, 1, 0, 0, 4, 4, 2, 1, 4, 4, 1, 2, 4, 2, 0, 2, 2, 2, 3, 3, 2, 2, 1, 3, 3, 2, 0, 3, 1, 4, 1, 3, 4, 4, 2, 1, 0, 3, 0, 4, 3, 1, 0, 1, 2, 2, 4, 0, 0, 4, 4, 1, 0, 3, 0, 3, 4, 1, 3, 1, 0, 3, 2, 1, 0, 1, 3, 2, 2, 4, 4, 0, 2, 4, 4, 2, 4, 3, 3, 3, 3, 2, 1, 0, 2, 3, 3, 2, 1, 1, 2, 4, 3, 4, 0, 1, 0, 2, 1, 3, 1, 1, 3, 0, 4, 0, 0, 4, 0, 1, 0, 4, 4, 0, 3, 0, 0, 0, 2, 1, 0, 0, 3, 0, 4, 0, 2, 4, 3, 3, 1, 3, 0, 4, 1, 0, 2, 3, 2, 2, 4, 4, 3, 0, 2, 0, 2, 4, 3, 0, 1]
pubkeycol529 = [2, 3, 3, 2, 1, 1, 3, 1, 2, 1, 1, 1, 0, 3, 0, 1, 1, 3, 1, 1, 3, 4, 1, 1, 3, 4, 0, 3, 0, 4, 2, 1, 1, 2, 4, 4, 4, 3, 2, 0, 0, 1, 1, 4, 0, 4, 3, 1, 1, 3, 0, 0, 0, 2, 3, 3, 1, 0, 4, 0, 4, 0, 3, 2, 3, 2, 1, 2, 4, 3, 4, 1, 3, 4, 2, 1, 0, 1, 1, 1, 2, 2, 3, 0, 0, 1, 2, 0, 3, 0, 3, 4, 2, 2, 2, 1, 1, 1, 4, 1, 2, 2, 1, 3, 3, 3, 2, 3, 1, 2, 2, 0, 3, 0, 0, 4, 0, 1, 4, 1, 1, 3, 1, 3, 3, 2, 3, 2, 0, 3, 1, 4, 4, 1, 0, 1, 0, 3, 1, 1, 4, 0, 4, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 3, 4, 4, 0, 2, 0, 1, 2, 0, 1, 3, 3, 3, 3, 3, 2, 2, 4, 4, 1, 3, 4, 1, 2, 4, 2, 1, 2, 0, 3, 3, 0, 3, 3, 2, 2, 0, 0, 4, 2, 3, 2, 3, 3, 2, 0, 2, 3, 2, 4, 0, 3, 4, 1, 4, 4, 0, 1, 4, 0, 0, 4, 2, 2, 1, 2, 2, 4, 3, 4, 1, 1, 3, 3, 4, 0, 4, 1, 2, 3, 2, 1, 1, 4, 2, 0, 3, 4, 0, 4, 2, 2, 3, 1, 3, 2, 2, 1, 0, 4, 3, 3, 3, 1, 2, 3, 3, 3, 4, 2, 1, 2, 2, 4, 3, 4, 4, 1, 1, 0, 4, 0, 1, 1, 4, 3, 1, 3, 1, 4, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 2, 0, 0, 3, 1, 2, 2, 3, 2, 2, 4, 2, 2, 2, 3, 3, 4, 0, 4, 2]
pubkeycol530 = [1, 1, 4, 0, 2, 0, 1, 2, 1, 2, 0, 3, 4, 0, 4, 0, 1, 1, 4, 3, 4, 4, 4, 2, 1, 4, 0, 1, 1, 4, 0, 2, 1, 2, 3, 0, 2, 4, 1, 4, 1, 4, 4, 1, 4, 0, 3, 4, 3, 4, 3, 4, 2, 0, 3, 3, 2, 0, 2, 0, 3, 0, 0, 3, 1, 2, 1, 0, 0, 1, 4, 3, 3, 2, 4, 4, 1, 3, 0, 1, 3, 3, 0, 0, 1, 4, 2, 0, 3, 2, 1, 1, 4, 3, 3, 1, 4, 2, 1, 0, 3, 4, 3, 2, 2, 3, 1, 4, 4, 4, 3, 4, 0, 4, 4, 4, 2, 0, 0, 1, 2, 3, 4, 2, 2, 3, 4, 1, 1, 3, 0, 4, 1, 4, 3, 0, 1, 3, 3, 4, 1, 0, 0, 1, 0, 4, 1, 1, 4, 4, 0, 3, 3, 4, 4, 1, 0, 0, 2, 0, 2, 3, 0, 1, 4, 4, 3, 2, 1, 4, 3, 4, 4, 1, 4, 3, 0, 1, 4, 3, 4, 1, 2, 4, 3, 4, 4, 4, 0, 3, 4, 4, 2, 4, 2, 3, 4, 2, 1, 4, 4, 3, 4, 1, 3, 4, 0, 0, 2, 3, 4, 4, 3, 4, 2, 4, 3, 3, 1, 3, 0, 4, 1, 0, 4, 1, 2, 1, 1, 1, 4, 2, 2, 4, 2, 4, 4, 1, 2, 0, 0, 1, 4, 2, 2, 3, 2, 0, 2, 0, 3, 3, 1, 3, 4, 0, 0, 3, 4, 0, 3, 3, 4, 2, 0, 2, 4, 2, 0, 0, 2, 2, 1, 3, 3, 3, 4, 3, 2, 3, 2, 4, 0, 2, 2, 4, 2, 4, 1, 2, 2, 2, 2, 0, 3, 4, 1, 1, 2, 4, 0, 0, 1, 3, 1, 2, 1, 2, 4, 0, 0, 3, 3, 4, 4, 3, 2, 2, 1, 1]
pubkeycol531 = [1, 3, 1, 0, 1, 3, 3, 2, 4, 3, 1, 3, 0, 0, 1, 4, 4, 3, 2, 3, 2, 3, 1, 3, 2, 1, 4, 1, 4, 1, 3, 3, 3, 4, 3, 2, 0, 1, 4, 4, 2, 3, 3, 0, 3, 4, 1, 3, 1, 2, 0, 2, 3, 0, 3, 4, 1, 4, 1, 3, 4, 4, 3, 1, 2, 2, 4, 0, 2, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 2, 4, 3, 0, 3, 2, 1, 1, 2, 4, 1, 3, 3, 1, 4, 3, 1, 1, 3, 3, 1, 2, 3, 4, 3, 1, 0, 3, 3, 3, 3, 1, 1, 2, 3, 0, 3, 0, 1, 0, 0, 1, 2, 2, 1, 4, 1, 0, 4, 1, 3, 2, 3, 0, 3, 1, 2, 4, 1, 0, 0, 0, 3, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 4, 3, 0, 2, 2, 3, 2, 3, 3, 4, 3, 3, 4, 0, 2, 0, 0, 2, 0, 0, 2, 0, 4, 0, 3, 3, 2, 3, 4, 1, 2, 4, 4, 4, 1, 3, 1, 1, 3, 1, 2, 4, 4, 4, 1, 4, 3, 1, 1, 0, 2, 1, 4, 2, 3, 2, 4, 3, 1, 1, 2, 2, 3, 0, 4, 2, 0, 3, 0, 2, 3, 1, 4, 2, 0, 3, 0, 4, 1, 4, 0, 1, 1, 0, 0, 2, 2, 0, 2, 4, 0, 3, 3, 1, 4, 0, 4, 2, 0, 0, 3, 1, 1, 0, 4, 2, 4, 1, 3, 1, 2, 3, 3, 4, 2, 4, 0, 3, 1, 1, 1, 4, 0, 0, 0, 2, 2, 4, 4, 0, 2, 3, 2, 3, 4, 2, 1, 1, 1, 1, 0, 4, 3, 2, 3, 1, 4, 1, 4, 1, 4, 3, 2, 3, 3, 0, 0, 4, 0, 2, 2, 0, 1, 3, 1]
pubkeycol532 = [1, 2, 3, 0, 4, 4, 4, 2, 3, 1, 2, 1, 2, 2, 2, 2, 3, 2, 1, 0, 2, 3, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 4, 0, 0, 2, 4, 2, 3, 4, 0, 4, 3, 2, 1, 3, 3, 0, 3, 4, 2, 4, 2, 4, 3, 0, 0, 4, 1, 2, 4, 3, 0, 0, 4, 3, 1, 2, 4, 2, 1, 4, 2, 1, 2, 3, 1, 0, 0, 4, 4, 1, 0, 1, 3, 0, 4, 1, 4, 3, 4, 2, 4, 2, 0, 1, 4, 2, 2, 4, 4, 2, 3, 2, 4, 3, 1, 3, 3, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 4, 2, 4, 3, 0, 2, 4, 1, 4, 4, 1, 2, 1, 3, 1, 1, 0, 1, 1, 2, 3, 4, 0, 4, 3, 4, 1, 4, 4, 4, 4, 4, 4, 0, 0, 4, 1, 3, 2, 4, 1, 3, 2, 2, 3, 3, 2, 0, 2, 4, 1, 3, 1, 0, 0, 3, 3, 1, 2, 3, 3, 0, 2, 1, 4, 2, 2, 1, 0, 4, 0, 4, 4, 4, 1, 1, 3, 0, 3, 3, 3, 1, 1, 0, 4, 4, 0, 2, 0, 0, 4, 1, 3, 3, 1, 1, 0, 0, 0, 1, 3, 1, 4, 3, 1, 0, 2, 2, 2, 1, 4, 0, 0, 4, 3, 2, 3, 4, 0, 2, 0, 4, 4, 4, 2, 2, 2, 1, 0, 3, 2, 3, 0, 4, 2, 3, 3, 2, 4, 2, 4, 3, 0, 2, 2, 3, 1, 4, 3, 2, 0, 2, 1, 1, 1, 0, 4, 3, 1, 1, 4, 2, 2, 2, 2, 4, 3, 3, 0, 4, 1, 3, 1, 2, 2, 3, 4, 2, 0, 0, 4, 4, 2, 2, 1, 4, 0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0, 3, 0, 4]
pubkeycol533 = [1, 2, 3, 3, 0, 1, 1, 4, 3, 0, 1, 1, 3, 3, 1, 1, 2, 4, 0, 2, 4, 1, 1, 3, 2, 1, 0, 1, 2, 3, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 4, 3, 1, 1, 2, 1, 4, 3, 1, 0, 0, 3, 1, 2, 4, 4, 0, 4, 2, 1, 4, 3, 2, 1, 1, 3, 1, 4, 0, 3, 1, 3, 3, 4, 0, 0, 0, 3, 3, 2, 4, 1, 4, 1, 2, 2, 0, 0, 3, 3, 0, 3, 2, 3, 1, 2, 1, 4, 3, 4, 3, 3, 2, 4, 1, 1, 4, 1, 3, 0, 1, 4, 0, 4, 2, 1, 0, 2, 3, 1, 3, 4, 1, 3, 4, 1, 2, 1, 4, 2, 3, 1, 4, 3, 0, 0, 4, 4, 1, 3, 3, 2, 4, 1, 4, 2, 4, 3, 4, 2, 1, 3, 0, 1, 1, 1, 3, 0, 1, 3, 1, 2, 0, 2, 4, 3, 3, 0, 2, 1, 3, 1, 0, 0, 0, 2, 0, 0, 4, 3, 3, 3, 0, 1, 2, 2, 4, 0, 3, 1, 4, 3, 0, 2, 2, 2, 4, 1, 3, 2, 1, 1, 0, 4, 3, 3, 3, 2, 0, 4, 2, 3, 0, 0, 2, 4, 1, 4, 2, 4, 2, 1, 2, 1, 4, 2, 0, 0, 1, 3, 1, 1, 0, 3, 1, 4, 1, 1, 2, 1, 0, 0, 4, 1, 0, 4, 0, 3, 1, 1, 1, 4, 4, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 4, 2, 4, 0, 1, 3, 2, 1, 0, 1, 3, 0, 2, 4, 4, 3, 2, 3, 0, 4, 1, 2, 2, 0, 1, 1, 0, 3, 0, 0, 0, 3, 0, 2, 1, 2, 1, 0, 4, 3, 0, 2, 4, 3, 4, 1, 1, 4, 1, 1, 2, 4, 2, 3, 2, 2]
pubkeycol534 = [1, 0, 4, 0, 2, 1, 4, 3, 3, 3, 0, 3, 4, 1, 3, 1, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0, 4, 2, 0, 2, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 2, 0, 1, 2, 1, 3, 3, 1, 2, 1, 4, 2, 2, 2, 3, 4, 2, 2, 4, 1, 4, 2, 3, 1, 1, 3, 1, 1, 3, 1, 0, 3, 4, 4, 4, 3, 4, 3, 2, 1, 2, 3, 1, 2, 1, 3, 0, 0, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 3, 4, 3, 2, 0, 2, 4, 4, 1, 4, 3, 2, 1, 2, 4, 4, 3, 2, 1, 0, 0, 3, 0, 1, 1, 3, 1, 1, 1, 3, 1, 3, 2, 0, 1, 1, 4, 2, 4, 0, 3, 0, 0, 2, 0, 1, 4, 3, 1, 4, 1, 1, 2, 3, 4, 4, 4, 3, 3, 1, 0, 4, 4, 3, 4, 3, 4, 2, 0, 1, 4, 1, 4, 2, 1, 4, 4, 1, 2, 4, 4, 3, 1, 3, 3, 3, 3, 0, 0, 2, 2, 1, 3, 2, 1, 4, 3, 0, 1, 4, 4, 0, 0, 4, 4, 0, 0, 3, 3, 1, 1, 3, 0, 4, 2, 1, 4, 0, 2, 3, 4, 3, 1, 2, 3, 2, 4, 1, 1, 4, 2, 3, 2, 3, 2, 4, 1, 4, 4, 1, 2, 4, 1, 1, 4, 4, 4, 3, 4, 3, 1, 1, 4, 1, 3, 1, 2, 1, 1, 1, 2, 4, 0, 3, 3, 1, 1, 0, 4, 3, 1, 2, 3, 1, 1, 2, 1, 1, 3, 0, 0, 1, 2, 3, 1, 4, 0, 4, 4, 3, 2, 0, 0, 1, 0, 1, 1, 0, 3, 1, 2, 1, 4, 4, 1, 0, 3, 3, 4, 4, 0, 0, 0, 0, 4]
pubkeycol535 = [3, 4, 1, 2, 4, 2, 2, 2, 1, 4, 2, 0, 3, 4, 0, 3, 2, 2, 3, 2, 1, 3, 0, 1, 0, 3, 0, 3, 0, 4, 4, 3, 3, 4, 4, 0, 4, 3, 1, 3, 4, 2, 3, 1, 4, 4, 1, 1, 2, 1, 0, 3, 4, 3, 1, 4, 2, 1, 4, 1, 1, 2, 1, 1, 3, 0, 4, 0, 4, 3, 2, 2, 4, 0, 0, 2, 1, 2, 4, 4, 3, 3, 3, 3, 3, 0, 0, 4, 3, 4, 3, 4, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 3, 3, 1, 0, 1, 0, 1, 3, 3, 3, 4, 0, 2, 1, 2, 4, 3, 0, 4, 0, 4, 1, 2, 1, 4, 2, 4, 4, 3, 0, 1, 0, 0, 0, 0, 0, 2, 4, 2, 0, 1, 2, 0, 0, 3, 2, 0, 1, 2, 1, 4, 0, 0, 0, 2, 4, 0, 1, 0, 0, 0, 4, 4, 1, 2, 1, 1, 2, 0, 3, 3, 0, 2, 3, 3, 2, 0, 0, 2, 1, 2, 3, 2, 1, 2, 4, 3, 0, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 0, 3, 2, 3, 0, 4, 3, 0, 1, 1, 3, 2, 2, 0, 1, 3, 0, 4, 3, 3, 4, 3, 4, 4, 4, 2, 2, 3, 4, 2, 2, 2, 2, 3, 3, 1, 0, 4, 2, 1, 4, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 1, 4, 3, 0, 1, 4, 1, 1, 0, 3, 1, 4, 1, 0, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 4, 1, 0, 3, 4, 0, 3, 1, 4, 0, 2, 4, 1, 4, 3, 0, 0, 0, 0, 1, 1, 0, 3, 0, 2, 1, 2, 0, 4, 2, 2, 3, 0, 1, 4, 1, 3, 3, 4, 2, 0, 1]
pubkeycol536 = [4, 2, 3, 3, 4, 1, 2, 4, 3, 0, 2, 3, 1, 2, 0, 3, 1, 2, 2, 3, 3, 2, 1, 3, 0, 0, 2, 0, 0, 2, 3, 3, 1, 4, 2, 4, 0, 3, 3, 1, 1, 4, 2, 1, 1, 2, 3, 1, 2, 2, 0, 3, 3, 3, 0, 4, 4, 0, 0, 0, 1, 4, 2, 1, 1, 3, 4, 1, 4, 4, 0, 0, 0, 3, 0, 3, 3, 1, 0, 2, 4, 2, 3, 0, 1, 0, 1, 4, 1, 4, 2, 0, 4, 2, 0, 3, 4, 2, 3, 3, 2, 2, 1, 3, 3, 3, 0, 2, 4, 3, 0, 1, 2, 0, 2, 4, 2, 1, 3, 2, 2, 2, 3, 0, 4, 4, 0, 2, 3, 3, 1, 1, 1, 2, 4, 3, 4, 0, 2, 2, 0, 4, 2, 1, 1, 1, 3, 2, 4, 1, 2, 4, 0, 4, 4, 0, 2, 1, 1, 2, 0, 1, 2, 3, 3, 0, 1, 0, 0, 0, 1, 4, 4, 0, 3, 1, 3, 2, 0, 4, 4, 4, 0, 0, 2, 4, 1, 0, 3, 4, 4, 1, 0, 4, 4, 0, 2, 3, 4, 4, 2, 0, 0, 1, 1, 2, 0, 3, 2, 1, 2, 2, 0, 4, 4, 0, 1, 3, 1, 2, 1, 4, 4, 0, 4, 2, 1, 2, 3, 0, 1, 1, 2, 0, 0, 0, 2, 4, 3, 1, 1, 1, 3, 4, 1, 4, 0, 4, 0, 1, 0, 4, 0, 4, 4, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 4, 3, 3, 3, 2, 2, 4, 4, 1, 1, 3, 4, 0, 2, 3, 1, 0, 3, 1, 4, 0, 2, 0, 4, 0, 4, 3, 4, 1, 2, 2, 1, 3, 2, 1, 2, 1, 4, 4, 4, 4, 0, 3, 1, 3, 1, 2, 4, 2, 0, 0]
pubkeycol537 = [1, 4, 0, 4, 3, 0, 1, 1, 4, 0, 1, 0, 0, 4, 1, 4, 3, 3, 3, 3, 4, 2, 0, 3, 1, 3, 3, 4, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 4, 2, 3, 1, 0, 0, 3, 2, 2, 1, 3, 0, 4, 2, 0, 4, 3, 2, 3, 0, 0, 4, 1, 2, 1, 2, 3, 4, 4, 0, 0, 1, 3, 3, 0, 1, 3, 0, 4, 1, 2, 3, 1, 0, 4, 0, 1, 2, 0, 4, 2, 4, 1, 0, 2, 3, 3, 4, 0, 4, 3, 3, 1, 0, 2, 4, 2, 3, 3, 4, 2, 3, 4, 4, 2, 1, 1, 3, 2, 3, 4, 1, 0, 3, 0, 0, 0, 0, 3, 0, 1, 3, 4, 3, 1, 0, 4, 2, 0, 0, 2, 2, 4, 4, 4, 2, 2, 2, 4, 1, 3, 4, 1, 0, 3, 2, 3, 0, 3, 1, 4, 3, 3, 0, 1, 2, 0, 0, 1, 1, 4, 2, 0, 4, 2, 2, 0, 1, 0, 2, 3, 1, 3, 2, 2, 4, 2, 2, 2, 4, 1, 1, 3, 4, 1, 4, 2, 1, 0, 2, 3, 2, 3, 0, 4, 2, 0, 1, 1, 4, 3, 0, 2, 4, 4, 3, 2, 0, 2, 3, 1, 4, 2, 0, 4, 3, 1, 0, 0, 1, 1, 4, 2, 3, 4, 2, 0, 1, 2, 4, 4, 4, 0, 4, 0, 0, 4, 1, 3, 0, 0, 2, 2, 2, 1, 0, 3, 2, 1, 4, 3, 0, 3, 3, 0, 2, 2, 3, 2, 1, 1, 4, 4, 3, 2, 3, 1, 4, 0, 4, 2, 0, 4, 2, 1, 2, 2, 4, 3, 1, 1, 1, 3, 3, 1, 4, 1, 2, 3, 1, 0, 1, 0, 4, 4, 0, 4, 1, 1, 2, 0, 3, 2, 3, 1, 1, 4, 3, 2, 4, 0, 4]
pubkeycol538 = [2, 1, 4, 4, 3, 3, 1, 3, 2, 2, 4, 2, 2, 2, 3, 3, 3, 0, 4, 4, 3, 1, 0, 1, 1, 3, 2, 0, 2, 1, 4, 0, 4, 4, 3, 1, 0, 4, 3, 1, 4, 4, 2, 1, 1, 0, 1, 1, 1, 0, 0, 4, 0, 1, 1, 1, 3, 3, 0, 0, 4, 3, 2, 2, 0, 2, 3, 4, 0, 2, 0, 0, 4, 4, 0, 4, 0, 2, 0, 2, 2, 3, 3, 3, 3, 2, 0, 1, 4, 4, 4, 0, 4, 2, 0, 3, 0, 0, 2, 0, 0, 4, 1, 3, 0, 0, 1, 4, 2, 3, 0, 2, 3, 4, 3, 1, 1, 2, 2, 4, 0, 2, 2, 1, 1, 2, 3, 4, 4, 2, 0, 2, 1, 4, 0, 1, 2, 4, 3, 1, 2, 1, 2, 2, 1, 0, 2, 2, 4, 1, 0, 0, 2, 1, 2, 4, 4, 1, 3, 0, 0, 2, 4, 4, 4, 4, 4, 2, 3, 4, 1, 1, 0, 3, 0, 3, 0, 1, 2, 4, 2, 2, 1, 2, 1, 0, 1, 4, 0, 0, 0, 3, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 4, 4, 2, 2, 0, 2, 3, 2, 1, 3, 3, 4, 0, 3, 2, 0, 0, 2, 3, 3, 0, 0, 3, 2, 3, 0, 0, 0, 2, 4, 3, 4, 3, 1, 2, 4, 2, 2, 0, 2, 4, 0, 4, 2, 0, 4, 4, 0, 1, 0, 4, 0, 3, 1, 3, 0, 0, 3, 4, 4, 4, 4, 1, 4, 4, 0, 2, 3, 1, 2, 1, 0, 4, 4, 0, 1, 2, 0, 2, 4, 4, 2, 4, 3, 4, 3, 3, 2, 4, 1, 1, 2, 2, 4, 1, 0, 0, 1, 1, 4, 0, 2, 4, 1, 1, 1, 0, 4, 3, 2, 0, 4, 1, 0, 4, 4, 3, 3]
pubkeycol539 = [2, 2, 4, 0, 4, 3, 3, 0, 2, 4, 2, 0, 0, 1, 1, 4, 0, 2, 2, 4, 2, 1, 2, 2, 3, 3, 4, 4, 0, 2, 1, 1, 4, 4, 3, 0, 4, 3, 4, 2, 3, 1, 3, 1, 3, 0, 1, 3, 3, 4, 1, 3, 3, 0, 4, 0, 0, 3, 1, 4, 2, 3, 0, 3, 0, 3, 3, 1, 0, 3, 2, 3, 2, 0, 3, 3, 2, 2, 0, 0, 4, 3, 3, 1, 0, 1, 0, 1, 2, 4, 4, 4, 0, 4, 4, 2, 3, 2, 1, 2, 0, 0, 0, 1, 4, 4, 1, 4, 3, 4, 4, 4, 1, 3, 3, 0, 4, 3, 4, 3, 3, 1, 3, 0, 3, 0, 3, 2, 3, 3, 0, 0, 4, 0, 2, 1, 1, 2, 0, 4, 2, 1, 4, 1, 0, 2, 4, 3, 0, 0, 3, 0, 0, 1, 4, 1, 0, 3, 3, 3, 2, 2, 1, 1, 1, 4, 2, 1, 3, 2, 4, 0, 2, 1, 3, 4, 1, 3, 1, 1, 4, 1, 2, 2, 1, 4, 2, 4, 1, 2, 1, 0, 0, 1, 2, 0, 3, 4, 4, 4, 0, 0, 1, 2, 1, 4, 0, 0, 1, 4, 4, 0, 4, 1, 0, 3, 2, 1, 1, 2, 3, 4, 4, 1, 2, 3, 1, 1, 3, 4, 3, 0, 2, 0, 4, 4, 0, 2, 0, 0, 4, 1, 4, 1, 0, 3, 2, 4, 0, 3, 0, 4, 2, 2, 4, 4, 4, 1, 0, 0, 1, 1, 2, 0, 4, 3, 4, 2, 3, 0, 4, 0, 2, 4, 3, 2, 2, 1, 1, 4, 2, 2, 0, 0, 1, 4, 4, 2, 3, 3, 2, 4, 1, 2, 3, 3, 1, 2, 4, 0, 0, 4, 3, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 3, 3, 2, 2, 3, 3]
pubkeycol540 = [4, 3, 2, 4, 0, 4, 3, 0, 3, 4, 2, 1, 2, 4, 3, 2, 1, 1, 3, 1, 2, 4, 2, 0, 3, 4, 2, 2, 0, 1, 1, 2, 4, 2, 3, 3, 3, 0, 0, 3, 3, 1, 0, 2, 4, 1, 2, 4, 1, 2, 3, 4, 0, 2, 3, 3, 4, 2, 1, 0, 0, 3, 1, 0, 0, 3, 3, 2, 3, 4, 3, 2, 1, 4, 2, 1, 2, 0, 4, 0, 1, 4, 0, 4, 3, 3, 3, 0, 1, 2, 2, 1, 4, 1, 2, 2, 0, 2, 4, 4, 1, 1, 0, 0, 1, 0, 2, 1, 2, 3, 2, 3, 1, 3, 2, 3, 1, 4, 0, 4, 3, 0, 3, 3, 1, 3, 1, 3, 4, 0, 2, 0, 1, 0, 3, 3, 2, 2, 1, 3, 0, 2, 1, 3, 1, 4, 2, 2, 3, 3, 3, 3, 1, 4, 3, 1, 1, 0, 3, 2, 1, 1, 0, 3, 2, 0, 2, 1, 4, 1, 4, 4, 3, 2, 1, 3, 2, 3, 0, 2, 1, 0, 2, 3, 3, 2, 3, 3, 3, 0, 0, 4, 0, 0, 0, 3, 4, 3, 1, 0, 1, 3, 3, 2, 3, 0, 2, 3, 1, 1, 3, 3, 3, 3, 0, 4, 4, 4, 0, 2, 1, 2, 0, 3, 4, 3, 1, 0, 3, 3, 1, 3, 4, 1, 1, 3, 4, 1, 2, 3, 2, 4, 2, 3, 1, 3, 3, 4, 0, 4, 4, 0, 4, 0, 2, 1, 1, 0, 0, 3, 4, 1, 3, 2, 3, 1, 4, 1, 3, 2, 1, 3, 4, 4, 3, 0, 4, 4, 0, 2, 3, 3, 1, 3, 4, 1, 1, 4, 2, 4, 0, 0, 3, 2, 1, 0, 4, 2, 0, 2, 4, 2, 4, 1, 4, 4, 3, 3, 3, 4, 1, 0, 2, 2, 3, 2, 3, 4, 4, 3]
pubkeycol541 = [4, 1, 3, 3, 4, 4, 2, 2, 4, 0, 4, 3, 1, 2, 2, 2, 0, 2, 1, 2, 3, 3, 4, 2, 2, 4, 3, 3, 1, 0, 3, 0, 0, 1, 3, 2, 4, 1, 3, 0, 3, 1, 3, 0, 2, 4, 1, 3, 1, 1, 2, 1, 2, 2, 3, 2, 1, 2, 1, 1, 1, 0, 4, 3, 2, 2, 4, 0, 4, 3, 1, 0, 1, 3, 1, 3, 4, 4, 1, 4, 0, 2, 3, 2, 0, 4, 0, 1, 2, 1, 3, 4, 0, 3, 1, 1, 1, 0, 4, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 3, 3, 2, 4, 1, 1, 3, 1, 0, 1, 3, 0, 0, 4, 3, 2, 0, 1, 2, 3, 3, 2, 4, 0, 2, 2, 2, 3, 2, 4, 3, 3, 1, 4, 3, 1, 0, 2, 4, 0, 4, 1, 0, 0, 4, 4, 4, 4, 4, 4, 3, 1, 2, 2, 1, 2, 3, 2, 3, 3, 1, 2, 0, 2, 2, 1, 2, 3, 1, 3, 3, 1, 4, 2, 2, 0, 2, 1, 2, 3, 1, 3, 2, 3, 0, 3, 3, 1, 4, 3, 1, 1, 0, 4, 1, 2, 1, 4, 1, 3, 1, 3, 2, 0, 1, 2, 0, 2, 3, 2, 4, 4, 0, 4, 2, 2, 2, 1, 2, 1, 0, 4, 4, 3, 1, 2, 4, 2, 1, 4, 0, 3, 1, 3, 0, 3, 1, 2, 1, 1, 4, 2, 0, 4, 1, 3, 1, 0, 2, 0, 3, 0, 2, 0, 0, 4, 1, 1, 0, 3, 2, 4, 3, 3, 0, 1, 0, 3, 4, 4, 1, 0, 0, 1, 2, 3, 0, 2, 1, 4, 2, 2, 1, 3, 4, 1, 0, 4, 4, 1, 2, 1, 3, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 4, 3, 1, 2, 3, 0]
pubkeycol542 = [3, 1, 4, 3, 3, 4, 0, 4, 0, 4, 0, 0, 2, 1, 0, 3, 0, 2, 2, 1, 1, 3, 2, 4, 3, 2, 0, 3, 1, 4, 2, 4, 2, 4, 1, 1, 1, 2, 0, 0, 1, 3, 0, 4, 4, 4, 1, 4, 1, 1, 4, 1, 1, 4, 0, 1, 3, 1, 4, 0, 2, 3, 4, 1, 2, 4, 2, 2, 2, 3, 1, 4, 1, 1, 0, 3, 2, 4, 3, 3, 4, 2, 3, 0, 0, 1, 1, 1, 2, 2, 1, 0, 4, 4, 4, 2, 4, 1, 2, 2, 1, 3, 1, 1, 3, 1, 3, 0, 3, 1, 4, 4, 0, 4, 4, 3, 1, 0, 2, 3, 3, 3, 4, 0, 2, 2, 0, 3, 1, 0, 1, 0, 0, 2, 2, 4, 4, 1, 4, 3, 0, 2, 0, 1, 1, 2, 2, 0, 1, 4, 4, 1, 4, 2, 0, 3, 4, 0, 3, 0, 4, 4, 2, 2, 2, 0, 4, 0, 1, 0, 1, 2, 2, 3, 1, 3, 0, 2, 4, 3, 1, 1, 3, 1, 4, 4, 2, 4, 1, 3, 4, 4, 3, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 3, 3, 4, 2, 4, 3, 2, 1, 4, 0, 4, 4, 3, 4, 3, 2, 1, 3, 2, 3, 3, 1, 4, 0, 0, 4, 1, 4, 3, 2, 1, 0, 2, 2, 1, 1, 4, 0, 2, 4, 3, 0, 4, 1, 4, 2, 4, 1, 1, 3, 4, 4, 0, 3, 4, 4, 3, 2, 2, 1, 4, 0, 1, 1, 3, 2, 4, 4, 1, 3, 3, 4, 2, 0, 2, 2, 0, 1, 3, 3, 2, 0, 4, 2, 1, 3, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 4, 1, 0, 0, 2, 3, 0, 4, 2, 3, 1, 1, 0, 1, 2, 2, 4, 1, 2]
pubkeycol543 = [0, 2, 0, 4, 4, 1, 4, 0, 1, 1, 0, 1, 4, 3, 0, 1, 0, 3, 1, 1, 2, 2, 1, 3, 1, 4, 0, 0, 2, 3, 3, 1, 3, 3, 1, 1, 4, 4, 2, 1, 4, 2, 1, 0, 4, 4, 1, 3, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 3, 4, 2, 0, 3, 3, 2, 1, 3, 2, 4, 1, 3, 2, 3, 0, 4, 2, 0, 4, 1, 2, 2, 0, 3, 4, 4, 0, 1, 3, 1, 0, 2, 2, 0, 3, 4, 4, 4, 2, 2, 1, 3, 0, 1, 1, 3, 0, 2, 4, 3, 4, 0, 1, 1, 2, 4, 3, 2, 4, 2, 4, 1, 4, 4, 1, 1, 2, 4, 1, 0, 1, 4, 0, 1, 4, 3, 4, 2, 1, 0, 3, 1, 1, 3, 3, 2, 4, 0, 0, 0, 2, 1, 4, 2, 4, 2, 2, 0, 2, 3, 1, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 0, 3, 3, 4, 4, 4, 2, 2, 2, 1, 2, 0, 3, 4, 0, 1, 0, 2, 1, 1, 1, 0, 3, 0, 3, 1, 3, 2, 3, 1, 3, 0, 2, 3, 1, 0, 4, 4, 1, 2, 0, 0, 1, 4, 4, 1, 2, 0, 4, 1, 3, 2, 4, 1, 0, 2, 2, 4, 2, 3, 3, 2, 2, 2, 3, 1, 0, 1, 0, 4, 4, 4, 4, 3, 2, 4, 3, 0, 0, 2, 0, 0, 1, 0, 0, 1, 4, 1, 1, 3, 4, 3, 3, 1, 4, 3, 2, 2, 2, 2, 3, 2, 0, 4, 0, 1, 3, 1, 2, 0, 4, 0, 1, 4, 3, 4, 4, 2, 3, 3, 3, 0, 4, 2, 4, 0, 4, 3, 0, 4, 2, 3, 2, 0, 0, 3, 3, 1, 0, 2, 2, 1, 4, 3, 4, 3, 3, 3, 1]
pubkeycol544 = [0, 0, 1, 4, 4, 4, 3, 4, 0, 0, 3, 4, 1, 2, 1, 4, 0, 4, 3, 1, 1, 0, 0, 4, 2, 2, 0, 4, 3, 4, 3, 1, 1, 0, 4, 1, 0, 2, 2, 2, 2, 0, 2, 3, 2, 3, 2, 4, 2, 0, 2, 4, 2, 2, 0, 1, 1, 4, 3, 1, 0, 2, 4, 4, 1, 2, 0, 1, 0, 0, 3, 0, 0, 0, 0, 3, 3, 4, 4, 3, 1, 4, 0, 3, 0, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 2, 3, 3, 4, 3, 2, 4, 2, 1, 0, 1, 0, 2, 4, 4, 4, 0, 1, 4, 1, 3, 2, 1, 4, 4, 2, 3, 2, 4, 0, 0, 0, 3, 2, 3, 1, 2, 4, 3, 0, 2, 0, 2, 3, 1, 0, 2, 2, 3, 1, 0, 0, 3, 0, 2, 2, 2, 4, 3, 1, 4, 4, 4, 1, 3, 3, 0, 0, 4, 1, 3, 4, 0, 1, 2, 2, 0, 0, 0, 4, 3, 2, 4, 3, 2, 2, 3, 4, 3, 0, 2, 0, 2, 3, 0, 2, 4, 3, 4, 0, 1, 2, 2, 2, 4, 0, 2, 4, 2, 3, 1, 2, 3, 3, 4, 3, 2, 0, 0, 2, 0, 4, 0, 2, 3, 1, 3, 0, 3, 3, 0, 1, 1, 0, 1, 1, 2, 4, 3, 1, 2, 0, 4, 4, 0, 4, 4, 1, 3, 0, 4, 3, 0, 2, 2, 4, 4, 1, 3, 2, 1, 2, 0, 2, 2, 4, 2, 1, 4, 0, 4, 1, 3, 2, 3, 1, 0, 4, 0, 2, 3, 2, 3, 1, 4, 0, 1, 0, 3, 4, 1, 0, 1, 0, 3, 4, 4, 0, 4, 4, 2, 1, 0, 3, 3, 0, 4, 1, 1, 0, 3, 1, 2, 0, 0, 2, 3, 2, 0, 2, 4, 0, 4, 2, 2]
pubkeycol545 = [1, 1, 3, 1, 2, 2, 2, 4, 4, 1, 3, 4, 3, 2, 2, 1, 0, 3, 4, 4, 2, 2, 2, 0, 4, 2, 3, 0, 3, 3, 3, 0, 1, 2, 2, 1, 1, 4, 2, 0, 3, 3, 1, 3, 1, 2, 4, 3, 0, 0, 1, 2, 4, 1, 0, 3, 0, 2, 2, 4, 4, 2, 1, 0, 4, 3, 1, 1, 2, 1, 4, 0, 4, 4, 4, 4, 2, 2, 3, 2, 2, 0, 4, 4, 4, 4, 2, 3, 4, 1, 3, 1, 2, 3, 3, 1, 0, 1, 2, 0, 1, 2, 0, 4, 0, 2, 2, 0, 4, 1, 4, 0, 1, 3, 0, 2, 3, 0, 1, 3, 4, 3, 0, 0, 1, 4, 3, 1, 4, 2, 3, 1, 3, 3, 0, 3, 2, 1, 4, 3, 2, 2, 4, 4, 2, 4, 1, 0, 2, 3, 0, 0, 2, 3, 0, 2, 1, 4, 2, 0, 4, 0, 3, 2, 4, 4, 0, 0, 3, 0, 3, 2, 0, 1, 1, 4, 1, 1, 2, 0, 4, 1, 2, 2, 3, 2, 0, 4, 4, 4, 0, 2, 3, 2, 2, 1, 3, 3, 0, 3, 2, 1, 4, 3, 3, 4, 3, 0, 1, 3, 1, 3, 4, 3, 1, 2, 4, 0, 3, 1, 1, 4, 1, 1, 3, 3, 3, 1, 2, 3, 0, 1, 2, 1, 3, 0, 4, 4, 3, 2, 4, 0, 4, 2, 0, 3, 1, 0, 4, 2, 3, 3, 4, 4, 3, 3, 1, 2, 1, 4, 4, 0, 1, 4, 1, 0, 1, 0, 2, 1, 3, 3, 4, 4, 1, 1, 2, 1, 2, 0, 4, 2, 0, 2, 2, 2, 3, 3, 1, 3, 3, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 3, 0, 4, 2, 0, 3, 1, 1, 2, 1, 1, 0, 2, 4, 0, 0, 0]
pubkeycol546 = [2, 2, 1, 4, 0, 1, 1, 0, 2, 3, 4, 0, 3, 0, 1, 4, 4, 4, 1, 4, 2, 2, 4, 2, 0, 0, 3, 1, 4, 0, 2, 2, 0, 2, 0, 3, 3, 1, 2, 3, 0, 2, 4, 3, 2, 0, 2, 0, 4, 2, 2, 4, 4, 4, 1, 3, 4, 0, 0, 0, 4, 1, 3, 1, 0, 4, 0, 1, 3, 2, 1, 0, 3, 4, 4, 0, 0, 0, 0, 1, 3, 3, 0, 1, 4, 2, 2, 4, 3, 1, 2, 0, 4, 3, 4, 1, 4, 2, 1, 2, 1, 2, 2, 0, 3, 4, 1, 4, 2, 2, 1, 0, 3, 4, 1, 4, 3, 1, 1, 2, 3, 0, 2, 2, 3, 1, 3, 3, 2, 1, 3, 0, 2, 4, 1, 0, 3, 0, 1, 1, 3, 4, 4, 3, 2, 1, 4, 1, 1, 4, 0, 1, 2, 4, 4, 0, 3, 4, 1, 0, 3, 2, 2, 4, 2, 3, 1, 3, 2, 4, 3, 3, 2, 2, 4, 3, 4, 3, 4, 2, 4, 0, 3, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 3, 3, 2, 1, 0, 2, 4, 3, 3, 3, 4, 4, 3, 2, 4, 3, 1, 3, 1, 2, 3, 2, 1, 2, 2, 3, 1, 0, 0, 0, 4, 2, 1, 3, 1, 0, 0, 2, 3, 2, 3, 0, 0, 0, 4, 3, 4, 1, 0, 3, 0, 3, 0, 0, 0, 2, 3, 1, 4, 0, 0, 2, 4, 4, 1, 1, 3, 3, 3, 4, 1, 1, 1, 0, 0, 2, 4, 3, 4, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 4, 3, 3, 1, 3, 0, 0, 4, 4, 3, 1, 3, 1, 0, 2, 3, 1, 2, 0, 1, 3, 4, 2, 1, 3, 0, 2, 3, 3, 0, 0, 0, 1, 4, 4]
pubkeycol547 = [3, 2, 3, 0, 1, 2, 4, 0, 1, 3, 2, 3, 3, 4, 2, 3, 4, 1, 0, 0, 0, 1, 4, 1, 3, 0, 0, 3, 1, 3, 1, 3, 3, 0, 2, 4, 4, 4, 0, 0, 0, 0, 4, 0, 1, 2, 1, 0, 3, 3, 0, 1, 2, 1, 4, 3, 1, 0, 2, 4, 0, 4, 4, 4, 0, 1, 0, 0, 2, 3, 0, 4, 3, 2, 0, 3, 1, 1, 3, 1, 2, 4, 2, 0, 1, 1, 0, 2, 1, 3, 4, 4, 3, 0, 4, 4, 2, 3, 2, 2, 2, 4, 0, 1, 2, 0, 0, 3, 1, 0, 1, 2, 3, 4, 1, 4, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 3, 2, 1, 2, 3, 4, 4, 4, 4, 2, 4, 4, 0, 0, 3, 3, 4, 1, 0, 2, 2, 4, 2, 2, 0, 3, 2, 3, 3, 1, 0, 3, 4, 4, 1, 0, 2, 0, 4, 3, 0, 0, 0, 3, 0, 2, 2, 0, 1, 3, 2, 4, 3, 4, 3, 0, 3, 1, 2, 1, 3, 1, 3, 2, 1, 1, 3, 2, 2, 3, 3, 2, 3, 3, 0, 1, 0, 3, 1, 2, 4, 3, 1, 2, 4, 3, 3, 0, 3, 1, 1, 3, 1, 2, 2, 3, 4, 0, 0, 4, 3, 4, 0, 4, 0, 3, 4, 0, 2, 0, 1, 4, 4, 4, 0, 0, 0, 0, 3, 0, 0, 1, 3, 1, 0, 3, 3, 1, 0, 0, 1, 3, 3, 1, 0, 2, 4, 4, 3, 4, 3, 4, 0, 1, 3, 0, 0, 0, 3, 0, 4, 3, 1, 4, 3, 1, 1, 4, 4, 4, 2, 1, 0, 4, 4, 1, 4, 3, 4, 1, 4, 0, 2, 0, 0, 1, 1, 2, 3, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 3, 4, 3, 2, 3]
pubkeycol548 = [4, 3, 1, 4, 3, 3, 1, 0, 4, 3, 4, 0, 2, 1, 3, 4, 4, 1, 0, 2, 4, 3, 0, 1, 2, 4, 1, 4, 4, 1, 0, 4, 3, 1, 2, 3, 3, 1, 4, 4, 1, 1, 1, 1, 2, 0, 4, 1, 1, 4, 4, 3, 4, 1, 4, 3, 4, 4, 1, 0, 0, 1, 3, 0, 4, 4, 3, 3, 0, 2, 0, 0, 3, 2, 2, 0, 3, 3, 3, 3, 0, 3, 1, 4, 4, 1, 3, 4, 2, 3, 4, 0, 2, 4, 2, 4, 1, 0, 4, 1, 2, 1, 1, 4, 3, 3, 2, 4, 3, 4, 0, 3, 3, 2, 2, 1, 1, 1, 3, 1, 4, 0, 2, 3, 1, 0, 3, 3, 2, 0, 2, 3, 4, 4, 2, 4, 1, 2, 1, 1, 0, 3, 1, 0, 4, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 2, 3, 3, 3, 0, 1, 3, 2, 1, 1, 3, 3, 2, 1, 0, 1, 3, 0, 1, 2, 0, 0, 0, 2, 1, 3, 0, 0, 4, 3, 0, 4, 2, 1, 4, 1, 3, 1, 2, 0, 4, 0, 3, 3, 0, 3, 4, 3, 4, 1, 2, 2, 0, 2, 4, 0, 3, 2, 4, 3, 2, 1, 4, 3, 1, 1, 4, 2, 1, 1, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 1, 4, 4, 4, 1, 4, 0, 4, 1, 4, 1, 2, 2, 0, 1, 1, 0, 3, 3, 2, 4, 3, 1, 1, 3, 2, 3, 2, 4, 2, 1, 3, 2, 1, 2, 1, 4, 1, 4, 1, 1, 1, 3, 1, 2, 2, 1, 2, 3, 0, 0, 1, 0, 4, 1, 4, 4, 2, 3, 0, 3, 4, 2, 2, 2, 4, 4, 1, 3, 0, 4, 4, 1, 0, 4, 1, 3, 4, 4]
pubkeycol549 = [3, 3, 3, 1, 2, 3, 2, 4, 0, 1, 3, 1, 2, 4, 3, 3, 1, 0, 1, 3, 2, 1, 1, 0, 0, 2, 4, 2, 2, 3, 4, 1, 2, 2, 2, 0, 4, 2, 2, 1, 2, 4, 2, 1, 1, 4, 2, 3, 0, 1, 1, 3, 1, 3, 1, 3, 2, 3, 0, 2, 2, 2, 4, 0, 3, 4, 3, 2, 2, 1, 4, 3, 0, 3, 4, 3, 2, 4, 1, 0, 2, 4, 1, 2, 4, 4, 2, 2, 4, 3, 1, 3, 2, 1, 4, 3, 0, 1, 3, 0, 3, 3, 2, 0, 1, 3, 3, 4, 3, 0, 1, 1, 1, 1, 0, 1, 0, 3, 2, 1, 3, 1, 2, 3, 3, 4, 0, 2, 4, 2, 1, 4, 4, 3, 4, 0, 0, 2, 1, 0, 3, 4, 4, 0, 1, 1, 1, 2, 3, 3, 2, 0, 1, 1, 0, 1, 4, 4, 0, 0, 1, 0, 4, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 3, 0, 0, 1, 2, 4, 4, 1, 1, 0, 4, 0, 0, 3, 1, 0, 4, 0, 2, 4, 4, 3, 3, 3, 4, 4, 1, 4, 0, 4, 3, 1, 1, 4, 3, 0, 3, 3, 2, 2, 4, 3, 3, 1, 2, 1, 2, 2, 1, 1, 3, 1, 2, 3, 0, 3, 3, 2, 1, 0, 3, 1, 2, 1, 1, 4, 1, 3, 3, 0, 3, 1, 1, 1, 0, 2, 2, 1, 4, 1, 1, 0, 1, 2, 4, 0, 3, 1, 4, 4, 1, 2, 1, 4, 3, 3, 1, 0, 0, 2, 3, 3, 4, 4, 2, 1, 2, 1, 4, 1, 1, 1, 3, 0, 2, 1, 2, 3, 4, 4, 1, 1, 0, 0, 0, 1, 1, 0, 4, 1, 0, 4, 4, 1, 4, 2, 1, 2, 4, 4, 1, 3]
pubkeycol550 = [4, 4, 3, 3, 1, 1, 3, 3, 3, 2, 3, 4, 2, 2, 3, 2, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 1, 1, 3, 4, 4, 1, 3, 4, 1, 3, 2, 0, 1, 4, 4, 1, 0, 1, 2, 3, 2, 3, 2, 0, 2, 2, 3, 2, 3, 3, 4, 4, 0, 4, 2, 3, 1, 2, 3, 3, 0, 2, 2, 2, 2, 3, 0, 2, 2, 3, 4, 2, 3, 1, 4, 3, 4, 0, 0, 2, 1, 4, 3, 3, 2, 0, 4, 0, 2, 1, 4, 0, 4, 3, 4, 1, 4, 0, 3, 0, 0, 0, 3, 3, 0, 3, 4, 0, 1, 0, 0, 2, 0, 3, 3, 2, 3, 4, 3, 2, 2, 1, 4, 0, 4, 4, 0, 2, 2, 0, 4, 3, 3, 2, 4, 3, 4, 1, 1, 3, 1, 2, 3, 1, 1, 2, 0, 1, 0, 1, 1, 4, 2, 0, 0, 3, 1, 0, 1, 1, 4, 3, 1, 4, 2, 2, 1, 4, 1, 3, 4, 1, 3, 2, 0, 4, 2, 4, 1, 2, 0, 3, 3, 0, 1, 0, 0, 2, 1, 3, 1, 1, 3, 4, 1, 0, 3, 3, 0, 0, 4, 0, 1, 2, 4, 1, 1, 0, 0, 1, 1, 3, 2, 1, 3, 1, 3, 1, 4, 1, 2, 0, 4, 4, 2, 3, 4, 3, 2, 1, 4, 0, 3, 1, 0, 4, 1, 4, 3, 0, 2, 1, 4, 4, 0, 4, 2, 1, 1, 3, 2, 2, 4, 4, 2, 2, 2, 1, 1, 2, 1, 4, 0, 1, 2, 3, 4, 1, 3, 3, 3, 0, 3, 0, 3, 1, 1, 3, 4, 3, 1, 3, 0, 0, 1, 3, 1, 1, 4, 0, 0, 2, 1, 1, 1, 0, 3, 2, 4, 0, 3, 1, 2, 3, 3, 4, 0, 2, 0, 1, 0, 2]
pubkeycol551 = [4, 2, 0, 0, 3, 4, 3, 2, 1, 2, 1, 3, 4, 3, 0, 4, 2, 2, 1, 4, 1, 1, 4, 2, 1, 1, 1, 0, 2, 1, 0, 0, 4, 1, 2, 1, 4, 1, 0, 3, 2, 1, 0, 3, 1, 4, 0, 0, 1, 0, 3, 0, 4, 1, 0, 4, 2, 0, 2, 0, 0, 0, 4, 3, 3, 0, 1, 2, 2, 2, 3, 1, 1, 2, 1, 4, 2, 4, 3, 3, 1, 3, 3, 2, 3, 2, 0, 1, 2, 2, 4, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 3, 1, 0, 2, 4, 2, 3, 4, 4, 0, 3, 2, 0, 1, 0, 0, 1, 0, 0, 0, 4, 0, 2, 0, 2, 1, 2, 4, 2, 0, 3, 0, 2, 4, 3, 0, 2, 0, 2, 3, 1, 1, 1, 0, 2, 0, 3, 3, 0, 3, 4, 2, 4, 2, 4, 3, 3, 4, 4, 1, 0, 1, 1, 1, 3, 2, 4, 4, 1, 3, 3, 3, 0, 4, 0, 4, 1, 3, 1, 2, 0, 0, 4, 3, 4, 4, 3, 1, 1, 0, 1, 1, 3, 0, 4, 1, 4, 3, 3, 3, 4, 3, 4, 2, 4, 2, 3, 0, 4, 4, 3, 1, 4, 3, 2, 3, 3, 3, 3, 1, 2, 3, 0, 0, 4, 4, 3, 4, 2, 0, 2, 4, 4, 4, 1, 0, 4, 1, 0, 1, 1, 2, 0, 3, 0, 3, 2, 4, 2, 4, 2, 0, 3, 4, 3, 3, 2, 3, 3, 4, 4, 3, 1, 3, 0, 2, 2, 2, 1, 3, 2, 3, 4, 4, 2, 2, 4, 2, 1, 3, 2, 0, 1, 2, 4, 4, 0, 1, 1, 3, 4, 3, 1, 4, 0, 2, 3, 0, 4, 4, 3, 4, 4, 4, 4, 2, 3, 0, 4, 0, 3, 2, 3, 2, 0, 2, 1, 2, 2]
pubkeycol552 = [4, 4, 0, 1, 3, 4, 4, 2, 2, 3, 0, 1, 1, 1, 0, 0, 0, 4, 1, 3, 0, 0, 0, 2, 4, 3, 3, 3, 4, 1, 4, 2, 3, 2, 2, 2, 4, 0, 1, 1, 4, 2, 3, 2, 0, 3, 4, 0, 1, 4, 0, 4, 4, 4, 0, 4, 3, 4, 2, 2, 3, 0, 4, 2, 2, 3, 2, 1, 1, 1, 4, 4, 1, 1, 0, 4, 4, 1, 0, 2, 4, 1, 2, 2, 2, 0, 3, 3, 3, 3, 1, 3, 1, 3, 0, 1, 1, 4, 1, 3, 2, 2, 0, 1, 3, 3, 2, 2, 2, 1, 2, 3, 2, 2, 1, 4, 3, 3, 2, 4, 4, 1, 1, 1, 4, 3, 0, 4, 1, 4, 0, 4, 2, 4, 1, 3, 3, 1, 0, 2, 1, 0, 3, 3, 1, 1, 2, 0, 1, 3, 1, 3, 1, 4, 3, 1, 3, 1, 2, 1, 0, 4, 2, 4, 4, 3, 3, 0, 0, 0, 3, 3, 4, 0, 2, 2, 4, 4, 3, 1, 4, 3, 3, 3, 2, 0, 2, 2, 0, 1, 1, 4, 0, 0, 4, 1, 4, 1, 3, 2, 0, 3, 3, 4, 4, 1, 0, 1, 2, 3, 3, 4, 4, 0, 0, 1, 0, 1, 2, 2, 0, 4, 0, 0, 0, 4, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 4, 1, 0, 2, 0, 2, 0, 2, 4, 2, 4, 4, 0, 2, 3, 3, 3, 0, 2, 4, 1, 1, 1, 1, 0, 4, 2, 0, 0, 3, 0, 2, 1, 3, 2, 3, 2, 1, 3, 0, 1, 0, 3, 4, 1, 1, 1, 2, 4, 1, 0, 2, 2, 2, 2, 2, 0, 3, 2, 0, 2, 2, 2, 1, 3, 2, 3, 3, 4, 0, 2, 3, 0, 1, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1]
pubkeycol553 = [1, 0, 0, 4, 3, 3, 0, 1, 2, 3, 2, 1, 3, 4, 0, 3, 1, 4, 4, 0, 3, 2, 1, 2, 0, 2, 1, 4, 0, 4, 3, 4, 0, 3, 0, 0, 2, 4, 1, 2, 2, 3, 1, 0, 2, 0, 1, 2, 2, 3, 1, 1, 1, 2, 4, 4, 0, 3, 0, 0, 0, 3, 0, 1, 2, 4, 3, 0, 1, 3, 4, 2, 0, 0, 2, 3, 4, 4, 2, 0, 2, 3, 2, 4, 4, 0, 4, 1, 1, 4, 3, 3, 0, 4, 2, 3, 2, 4, 2, 3, 4, 0, 3, 1, 4, 3, 2, 3, 0, 1, 2, 0, 2, 2, 2, 3, 0, 0, 2, 3, 0, 1, 0, 3, 0, 1, 0, 1, 1, 2, 2, 0, 2, 4, 0, 4, 1, 4, 2, 2, 4, 2, 1, 2, 2, 2, 0, 3, 2, 0, 1, 4, 3, 0, 2, 0, 3, 1, 3, 1, 1, 3, 2, 4, 4, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 0, 3, 0, 1, 2, 1, 0, 4, 3, 4, 4, 4, 2, 2, 3, 4, 4, 3, 1, 2, 0, 1, 4, 3, 2, 2, 3, 4, 3, 3, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 2, 1, 0, 1, 4, 1, 1, 3, 0, 1, 0, 1, 0, 2, 3, 0, 0, 2, 1, 3, 3, 1, 2, 0, 3, 4, 2, 0, 3, 4, 2, 3, 2, 0, 0, 4, 4, 0, 2, 0, 4, 4, 4, 2, 3, 0, 4, 0, 0, 4, 0, 4, 2, 0, 3, 4, 2, 4, 2, 2, 1, 4, 2, 2, 0, 1, 1, 2, 1, 4, 3, 2, 3, 1, 0, 0, 2, 1, 0, 3, 4, 4, 0, 2, 1, 3, 4, 3, 1, 3, 2, 3, 4]
pubkeycol554 = [2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 1, 0, 2, 4, 4, 2, 0, 4, 3, 2, 3, 0, 0, 0, 0, 2, 2, 4, 4, 1, 2, 3, 0, 1, 2, 1, 2, 1, 3, 0, 0, 1, 3, 2, 3, 0, 4, 1, 3, 2, 1, 1, 3, 3, 1, 1, 4, 2, 4, 2, 3, 2, 3, 3, 2, 1, 3, 3, 3, 1, 2, 3, 1, 0, 1, 2, 0, 1, 0, 4, 4, 1, 0, 4, 2, 3, 3, 1, 3, 3, 0, 4, 1, 2, 1, 0, 2, 4, 0, 0, 0, 2, 1, 2, 4, 4, 2, 0, 2, 0, 4, 3, 1, 0, 2, 1, 2, 4, 3, 1, 1, 3, 4, 0, 2, 0, 3, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 3, 0, 3, 4, 3, 3, 1, 4, 0, 1, 0, 0, 1, 2, 2, 1, 3, 0, 1, 3, 1, 1, 0, 4, 4, 2, 2, 3, 0, 3, 4, 3, 3, 3, 0, 0, 0, 3, 1, 4, 3, 0, 3, 3, 1, 4, 3, 3, 4, 2, 4, 1, 1, 2, 1, 4, 3, 3, 0, 0, 2, 0, 4, 0, 2, 3, 4, 1, 3, 4, 1, 1, 1, 3, 2, 0, 0, 1, 4, 1, 0, 3, 1, 0, 1, 3, 2, 2, 2, 1, 0, 4, 4, 0, 3, 2, 1, 2, 1, 1, 1, 1, 3, 1, 4, 2, 3, 1, 1, 1, 3, 4, 1, 2, 1, 2, 2, 1, 0, 4, 3, 1, 1, 3, 3, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 3, 2, 4, 3, 0, 3, 2, 4, 1, 2, 1, 4, 0, 0, 4, 1, 4, 3, 4, 2, 0, 4, 3, 2, 0, 0, 4, 3, 1, 0, 0, 2, 2, 1, 3, 4, 1, 4, 3, 3, 0, 0, 2, 0]
pubkeycol555 = [3, 2, 3, 4, 2, 0, 1, 0, 0, 4, 4, 4, 1, 2, 3, 1, 0, 4, 4, 1, 0, 4, 4, 2, 3, 1, 1, 4, 2, 2, 2, 0, 4, 0, 2, 1, 2, 4, 4, 2, 3, 1, 3, 4, 0, 1, 4, 3, 2, 0, 4, 0, 2, 4, 1, 4, 2, 3, 0, 4, 3, 3, 4, 1, 0, 2, 4, 1, 0, 4, 0, 1, 1, 1, 3, 2, 2, 3, 3, 1, 3, 3, 1, 0, 1, 4, 3, 1, 3, 4, 4, 2, 2, 4, 2, 4, 0, 0, 3, 4, 0, 4, 4, 0, 3, 2, 3, 1, 0, 2, 2, 1, 2, 3, 0, 4, 2, 0, 1, 4, 0, 4, 4, 1, 2, 3, 4, 2, 4, 1, 0, 3, 3, 0, 0, 1, 3, 2, 4, 3, 0, 3, 3, 3, 2, 2, 3, 0, 2, 0, 4, 2, 1, 2, 1, 1, 2, 3, 4, 0, 4, 1, 2, 2, 4, 4, 1, 0, 3, 0, 2, 0, 1, 0, 4, 2, 0, 1, 4, 0, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 0, 2, 3, 2, 4, 2, 2, 0, 2, 4, 3, 1, 3, 1, 4, 4, 0, 4, 3, 1, 1, 4, 2, 4, 0, 0, 1, 3, 0, 2, 4, 1, 3, 4, 1, 1, 3, 4, 1, 0, 1, 4, 4, 4, 0, 1, 4, 1, 0, 0, 0, 4, 1, 1, 1, 0, 2, 4, 2, 1, 1, 4, 3, 2, 1, 0, 2, 2, 0, 0, 3, 1, 4, 4, 2, 1, 2, 1, 2, 1, 0, 2, 4, 2, 1, 1, 4, 3, 3, 4, 4, 4, 2, 2, 0, 4, 2, 0, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 1, 2, 1, 4, 0, 2, 2, 0, 4, 4, 3, 2, 3, 1, 3, 2, 0, 3, 4, 0, 0, 2]
pubkeycol556 = [1, 4, 4, 2, 1, 3, 4, 2, 3, 0, 0, 3, 0, 1, 4, 3, 3, 1, 4, 0, 2, 1, 2, 4, 0, 2, 4, 2, 4, 1, 4, 4, 0, 4, 2, 0, 4, 3, 2, 2, 1, 1, 3, 0, 1, 3, 4, 0, 4, 1, 2, 4, 4, 2, 0, 2, 0, 4, 1, 3, 1, 1, 4, 0, 2, 1, 1, 1, 1, 0, 3, 0, 4, 2, 3, 1, 2, 0, 3, 2, 1, 4, 0, 2, 0, 3, 1, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 3, 0, 2, 2, 1, 4, 2, 0, 4, 4, 3, 4, 0, 3, 3, 0, 3, 1, 2, 4, 0, 4, 1, 3, 1, 3, 2, 3, 0, 1, 1, 3, 2, 0, 3, 4, 1, 3, 2, 3, 2, 1, 3, 2, 2, 4, 4, 2, 0, 3, 0, 4, 4, 0, 2, 3, 1, 2, 1, 2, 4, 2, 1, 1, 2, 1, 4, 3, 2, 0, 3, 3, 3, 3, 4, 3, 0, 2, 2, 2, 2, 4, 1, 3, 3, 4, 2, 0, 0, 0, 0, 1, 0, 2, 2, 3, 0, 0, 2, 1, 1, 4, 0, 3, 1, 3, 4, 0, 0, 1, 0, 0, 1, 1, 0, 0, 4, 4, 4, 2, 4, 2, 1, 1, 2, 2, 4, 1, 2, 4, 2, 4, 2, 3, 3, 0, 3, 2, 2, 3, 0, 1, 3, 2, 3, 3, 3, 3, 0, 3, 2, 1, 1, 3, 3, 3, 0, 4, 4, 3, 4, 3, 2, 0, 1, 4, 0, 3, 1, 4, 1, 3, 3, 4, 0, 4, 4, 1, 2, 1, 3, 4, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 4, 2, 3, 2, 3, 4, 1, 0, 2, 2, 3, 0, 3, 2, 4, 1, 4, 1, 4, 2, 2, 1, 3, 0, 4, 1, 0, 4, 2, 0, 3]
pubkeycol557 = [0, 0, 0, 2, 1, 4, 3, 2, 4, 1, 3, 4, 1, 4, 2, 1, 0, 2, 1, 0, 0, 0, 4, 2, 2, 4, 0, 0, 1, 0, 4, 3, 2, 0, 2, 2, 1, 1, 1, 4, 1, 0, 3, 4, 4, 4, 1, 1, 4, 3, 3, 4, 4, 4, 0, 1, 1, 2, 3, 3, 1, 0, 1, 3, 0, 1, 2, 3, 2, 4, 2, 1, 2, 3, 4, 0, 1, 2, 4, 1, 2, 4, 2, 0, 2, 4, 4, 2, 4, 1, 4, 1, 2, 1, 3, 1, 3, 0, 0, 0, 1, 4, 1, 1, 3, 3, 2, 2, 3, 1, 0, 4, 2, 1, 3, 2, 1, 2, 3, 1, 0, 1, 1, 0, 4, 1, 4, 2, 3, 0, 3, 4, 3, 1, 4, 1, 1, 0, 4, 1, 3, 2, 3, 0, 4, 3, 3, 1, 0, 2, 2, 1, 2, 1, 1, 3, 2, 1, 1, 0, 4, 3, 0, 1, 2, 3, 0, 0, 2, 0, 4, 2, 0, 3, 4, 3, 4, 1, 0, 3, 4, 1, 3, 4, 4, 3, 0, 3, 0, 1, 3, 4, 2, 3, 3, 3, 3, 2, 4, 3, 2, 4, 2, 3, 4, 0, 2, 2, 0, 2, 2, 4, 2, 2, 3, 1, 2, 0, 1, 4, 2, 2, 1, 2, 1, 0, 3, 3, 3, 3, 0, 0, 2, 1, 1, 0, 3, 1, 2, 1, 1, 3, 4, 2, 0, 3, 1, 3, 0, 2, 1, 3, 3, 1, 3, 2, 3, 0, 2, 2, 0, 2, 1, 0, 3, 0, 3, 4, 3, 0, 0, 1, 1, 0, 4, 1, 1, 0, 2, 1, 4, 2, 2, 1, 2, 4, 3, 4, 2, 0, 3, 4, 3, 3, 3, 1, 4, 4, 2, 3, 4, 4, 2, 2, 2, 2, 0, 0, 3, 1, 1, 2, 3, 3, 1, 4, 3, 2, 0, 3]
pubkeycol558 = [2, 2, 1, 2, 3, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 4, 2, 0, 0, 1, 1, 4, 0, 2, 1, 3, 3, 3, 4, 0, 3, 0, 1, 0, 3, 3, 0, 3, 3, 4, 3, 0, 4, 0, 4, 1, 0, 4, 2, 3, 1, 1, 1, 2, 0, 3, 0, 0, 2, 0, 0, 0, 4, 0, 3, 3, 1, 1, 4, 3, 1, 1, 0, 2, 1, 4, 4, 0, 3, 1, 1, 3, 1, 4, 2, 1, 1, 2, 4, 0, 2, 0, 3, 4, 1, 4, 1, 4, 4, 4, 0, 0, 4, 3, 2, 3, 4, 4, 0, 0, 1, 0, 2, 2, 4, 3, 2, 4, 1, 2, 2, 0, 4, 0, 0, 4, 4, 1, 3, 3, 3, 3, 0, 3, 0, 1, 2, 3, 1, 4, 3, 4, 2, 1, 1, 0, 2, 3, 2, 4, 3, 4, 0, 0, 4, 2, 1, 4, 2, 3, 2, 1, 0, 4, 0, 4, 4, 0, 2, 3, 2, 1, 1, 2, 4, 4, 2, 4, 2, 4, 0, 3, 2, 1, 1, 4, 2, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4, 1, 3, 3, 1, 3, 1, 1, 2, 3, 0, 2, 4, 0, 0, 0, 2, 4, 2, 1, 3, 1, 2, 3, 0, 0, 2, 0, 0, 3, 0, 2, 2, 3, 4, 3, 2, 0, 3, 1, 4, 3, 3, 1, 3, 0, 3, 2, 3, 0, 2, 1, 3, 0, 1, 2, 1, 1, 4, 0, 1, 1, 3, 1, 4, 4, 2, 1, 2, 2, 3, 1, 4, 1, 3, 4, 1, 0, 0, 4, 0, 1, 1, 4, 4, 2, 0, 2, 4, 0, 1, 0, 1, 0, 1, 0, 3, 0, 0, 3, 3, 1, 0, 2, 4, 1, 3, 4, 3, 3, 2, 2, 2, 0, 2, 4, 4, 4, 0, 4, 0, 0, 0, 4]
pubkeycol559 = [4, 2, 4, 4, 2, 4, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 3, 0, 2, 3, 0, 2, 1, 4, 0, 2, 1, 4, 4, 4, 3, 4, 4, 3, 1, 4, 0, 0, 0, 2, 4, 2, 1, 1, 0, 1, 2, 4, 0, 3, 4, 3, 3, 0, 4, 0, 0, 3, 3, 4, 1, 4, 1, 0, 0, 1, 2, 2, 4, 0, 0, 4, 2, 2, 3, 0, 1, 3, 0, 1, 2, 3, 1, 3, 0, 3, 4, 1, 1, 3, 3, 0, 0, 3, 1, 2, 4, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 3, 4, 2, 4, 2, 4, 1, 3, 3, 4, 4, 0, 0, 4, 2, 1, 2, 3, 2, 4, 4, 1, 3, 0, 2, 4, 1, 4, 2, 1, 2, 2, 0, 2, 4, 0, 2, 0, 4, 3, 3, 2, 3, 0, 0, 2, 4, 0, 0, 3, 0, 3, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 3, 1, 0, 1, 4, 1, 2, 1, 0, 3, 4, 1, 1, 4, 1, 0, 3, 3, 2, 1, 1, 2, 3, 1, 4, 0, 4, 2, 4, 2, 1, 1, 3, 1, 0, 3, 4, 2, 4, 0, 2, 0, 0, 3, 3, 1, 1, 4, 3, 1, 0, 4, 2, 1, 2, 4, 2, 2, 2, 1, 3, 1, 0, 2, 3, 4, 0, 2, 1, 4, 2, 2, 4, 1, 3, 1, 0, 3, 0, 0, 0, 2, 1, 4, 0, 3, 0, 2, 1, 2, 2, 1, 3, 4, 4, 1, 1, 4, 4, 0, 1, 0, 0, 3, 4, 1, 4, 1, 1, 3, 2, 3, 0, 2, 2, 3, 4, 0, 2, 3, 0, 4, 4, 0, 2, 2, 0, 0, 1, 0, 3, 3, 2, 0, 3, 0, 2, 3, 0, 3, 2, 1, 4]
pubkeycol560 = [3, 2, 1, 2, 2, 0, 3, 2, 1, 1, 3, 0, 0, 3, 4, 2, 4, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 3, 3, 1, 1, 4, 0, 4, 0, 2, 3, 0, 3, 0, 2, 1, 2, 2, 2, 3, 0, 3, 0, 1, 4, 0, 0, 0, 2, 3, 4, 4, 4, 4, 1, 0, 4, 4, 4, 4, 1, 0, 4, 3, 3, 2, 2, 2, 0, 1, 4, 0, 4, 3, 3, 0, 4, 4, 0, 4, 4, 3, 4, 4, 0, 0, 4, 2, 2, 0, 0, 4, 3, 2, 3, 4, 2, 1, 1, 4, 4, 2, 4, 4, 4, 4, 3, 0, 1, 2, 1, 2, 0, 1, 0, 4, 4, 1, 4, 1, 3, 3, 3, 4, 3, 2, 1, 2, 4, 3, 3, 2, 1, 1, 2, 1, 3, 2, 0, 4, 2, 2, 0, 0, 1, 4, 4, 0, 3, 1, 0, 3, 0, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 0, 4, 0, 4, 4, 1, 3, 0, 4, 1, 3, 1, 4, 3, 0, 2, 2, 0, 2, 1, 2, 2, 3, 4, 2, 2, 0, 0, 4, 1, 2, 0, 1, 2, 3, 0, 0, 3, 3, 0, 1, 4, 4, 0, 1, 0, 1, 0, 3, 4, 2, 2, 1, 0, 1, 4, 2, 0, 1, 2, 4, 4, 4, 1, 0, 4, 3, 3, 1, 0, 3, 2, 1, 1, 0, 1, 3, 4, 3, 4, 2, 1, 4, 1, 3, 4, 0, 3, 1, 3, 1, 2, 4, 3, 2, 3, 0, 2, 0, 1, 3, 3, 0, 0, 0, 1, 1, 3, 3, 0, 1, 4, 4, 0, 4, 1, 0, 3, 3, 4, 1, 0, 3, 0, 0, 1, 4, 2, 3, 2, 1, 4, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 0]
pubkeycol561 = [0, 2, 4, 1, 3, 3, 3, 4, 1, 2, 0, 3, 4, 2, 1, 2, 3, 1, 0, 1, 0, 0, 0, 4, 3, 0, 3, 2, 4, 3, 2, 4, 0, 3, 4, 1, 1, 1, 4, 4, 2, 0, 2, 2, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 1, 2, 4, 0, 1, 2, 2, 0, 3, 1, 2, 4, 1, 3, 4, 0, 3, 4, 0, 4, 0, 2, 3, 4, 3, 1, 0, 0, 4, 2, 1, 3, 0, 3, 2, 4, 3, 2, 0, 4, 3, 0, 0, 2, 4, 3, 1, 4, 3, 4, 1, 0, 0, 3, 4, 2, 3, 4, 2, 2, 0, 0, 1, 3, 1, 4, 2, 0, 0, 1, 4, 3, 1, 3, 0, 1, 2, 4, 0, 2, 0, 2, 3, 2, 2, 4, 1, 1, 1, 4, 4, 1, 3, 0, 3, 4, 0, 4, 0, 0, 0, 0, 1, 2, 1, 0, 3, 2, 1, 2, 0, 0, 3, 1, 4, 1, 1, 0, 0, 0, 1, 1, 0, 3, 0, 2, 1, 3, 2, 4, 4, 2, 2, 3, 3, 0, 4, 1, 3, 0, 0, 1, 4, 2, 0, 2, 3, 1, 2, 4, 2, 3, 2, 2, 2, 0, 1, 3, 1, 3, 4, 2, 2, 4, 0, 3, 2, 2, 4, 3, 4, 4, 3, 0, 4, 3, 1, 0, 3, 3, 2, 0, 1, 0, 4, 2, 2, 4, 3, 1, 4, 3, 3, 3, 3, 1, 3, 3, 0, 1, 3, 4, 4, 2, 0, 2, 4, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 3, 0, 3, 2, 1, 3, 0, 1, 0, 1, 1, 0, 2, 0, 2, 3, 3, 4, 0, 1, 1, 2, 4, 4, 4, 3, 1, 3, 2, 2, 1, 0, 1, 3, 0, 4, 4, 1, 3, 1, 0, 4, 1, 0, 2, 2]
pubkeycol562 = [0, 4, 0, 2, 2, 3, 4, 2, 0, 3, 4, 3, 1, 0, 1, 0, 4, 4, 0, 1, 4, 1, 2, 4, 0, 0, 0, 0, 3, 2, 3, 1, 1, 3, 1, 0, 0, 2, 2, 1, 0, 1, 2, 3, 1, 1, 4, 4, 0, 3, 3, 1, 3, 2, 4, 0, 1, 4, 0, 1, 3, 2, 1, 0, 1, 4, 3, 3, 3, 0, 2, 2, 0, 1, 0, 4, 0, 0, 1, 3, 3, 0, 3, 4, 1, 2, 0, 0, 0, 3, 0, 0, 4, 3, 0, 4, 2, 1, 0, 1, 0, 2, 3, 3, 1, 3, 4, 4, 0, 4, 2, 3, 1, 3, 4, 2, 0, 0, 4, 2, 1, 3, 3, 3, 3, 1, 3, 2, 2, 2, 0, 3, 1, 4, 2, 0, 2, 4, 0, 0, 2, 2, 2, 1, 2, 1, 3, 2, 1, 3, 0, 0, 0, 0, 4, 2, 3, 2, 2, 2, 4, 2, 0, 3, 1, 0, 0, 3, 3, 4, 0, 2, 4, 0, 2, 3, 2, 4, 3, 4, 0, 0, 4, 1, 3, 1, 0, 3, 1, 0, 2, 1, 1, 1, 4, 1, 0, 1, 3, 0, 4, 3, 1, 1, 0, 3, 3, 0, 1, 4, 2, 1, 3, 1, 1, 0, 2, 4, 1, 2, 2, 2, 3, 4, 4, 1, 1, 0, 4, 4, 0, 2, 1, 2, 4, 2, 1, 2, 2, 0, 3, 3, 1, 4, 3, 2, 2, 2, 0, 1, 1, 4, 0, 4, 1, 3, 0, 4, 1, 0, 3, 2, 0, 4, 1, 4, 1, 3, 3, 2, 0, 4, 1, 2, 4, 4, 0, 0, 0, 4, 4, 4, 4, 3, 0, 3, 4, 1, 0, 4, 4, 0, 2, 2, 1, 0, 3, 1, 4, 1, 1, 0, 0, 4, 4, 3, 4, 0, 3, 2, 2, 2, 3, 3, 4, 0, 0, 2, 4, 0]
pubkeycol563 = [0, 4, 4, 3, 2, 3, 0, 0, 2, 4, 2, 3, 4, 4, 2, 3, 0, 4, 3, 4, 1, 3, 4, 3, 4, 0, 0, 0, 3, 2, 2, 3, 2, 1, 4, 0, 4, 2, 4, 1, 2, 2, 1, 4, 1, 0, 1, 2, 4, 1, 2, 4, 2, 4, 3, 4, 1, 0, 0, 3, 2, 3, 0, 1, 1, 4, 2, 1, 3, 2, 2, 4, 2, 2, 1, 0, 2, 3, 0, 3, 2, 2, 3, 0, 4, 1, 0, 4, 0, 0, 2, 3, 1, 3, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 4, 0, 1, 2, 3, 4, 3, 0, 4, 3, 3, 3, 0, 0, 3, 3, 3, 1, 1, 0, 4, 3, 0, 1, 2, 4, 4, 1, 4, 0, 1, 4, 1, 2, 3, 3, 0, 1, 2, 4, 4, 3, 2, 0, 3, 3, 2, 1, 3, 4, 1, 2, 2, 2, 1, 3, 4, 1, 1, 3, 3, 4, 2, 3, 0, 4, 0, 3, 4, 0, 1, 1, 4, 4, 1, 4, 3, 3, 0, 0, 4, 0, 0, 3, 4, 3, 3, 0, 1, 3, 3, 4, 4, 3, 3, 0, 0, 2, 2, 4, 1, 0, 1, 0, 1, 1, 4, 4, 0, 2, 3, 3, 2, 3, 4, 3, 2, 4, 3, 4, 0, 3, 4, 0, 0, 4, 0, 2, 1, 1, 0, 1, 2, 4, 4, 2, 4, 1, 2, 2, 3, 1, 0, 1, 4, 1, 3, 0, 0, 1, 0, 3, 2, 2, 2, 0, 4, 0, 3, 2, 3, 3, 3, 3, 3, 3, 1, 2, 4, 0, 4, 4, 1, 0, 2, 0, 0, 3, 3, 4, 4, 4, 3, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 4, 1, 4, 0, 2, 2, 1, 1, 0, 4, 1, 0, 0, 4, 1, 4, 3, 3]
pubkeycol564 = [2, 4, 1, 3, 4, 1, 4, 3, 4, 1, 1, 3, 0, 0, 0, 4, 4, 1, 4, 3, 4, 1, 4, 1, 4, 2, 2, 0, 3, 4, 1, 3, 0, 0, 1, 3, 3, 4, 4, 3, 2, 2, 0, 2, 0, 4, 1, 4, 0, 3, 3, 0, 0, 2, 0, 3, 4, 1, 1, 1, 4, 1, 4, 2, 1, 4, 2, 0, 4, 1, 1, 2, 4, 1, 1, 1, 1, 4, 0, 3, 2, 0, 4, 2, 2, 1, 2, 4, 4, 1, 2, 3, 4, 0, 0, 3, 0, 4, 1, 0, 2, 4, 1, 3, 2, 3, 4, 3, 3, 0, 2, 2, 3, 2, 0, 4, 1, 1, 3, 0, 3, 1, 1, 1, 4, 2, 1, 4, 1, 2, 2, 3, 0, 2, 1, 0, 0, 1, 0, 4, 0, 3, 1, 2, 4, 2, 1, 0, 1, 0, 2, 4, 3, 2, 0, 3, 0, 3, 1, 0, 4, 2, 2, 4, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 4, 0, 3, 4, 2, 3, 1, 1, 3, 1, 2, 3, 3, 3, 1, 4, 2, 2, 4, 2, 2, 1, 1, 3, 0, 0, 4, 2, 3, 1, 1, 1, 0, 2, 2, 4, 1, 1, 4, 3, 4, 1, 1, 2, 4, 3, 3, 4, 1, 2, 3, 0, 2, 4, 3, 3, 2, 3, 0, 1, 0, 0, 0, 0, 1, 4, 2, 1, 3, 4, 0, 3, 0, 1, 3, 1, 1, 2, 3, 1, 3, 2, 3, 2, 2, 1, 0, 0, 2, 3, 0, 2, 2, 0, 4, 0, 4, 2, 4, 0, 3, 2, 0, 2, 4, 3, 4, 0, 4, 4, 2, 2, 4, 2, 0, 0, 4, 2, 2, 2, 3, 2, 1, 3, 4, 0, 2, 4, 1, 1, 0, 2, 3, 2, 1, 4, 3, 4, 3, 0, 4, 0, 1, 0, 3]
pubkeycol565 = [2, 1, 4, 4, 4, 0, 4, 3, 0, 1, 0, 3, 1, 4, 3, 4, 3, 2, 2, 3, 1, 3, 2, 2, 4, 1, 0, 4, 0, 0, 0, 2, 3, 3, 0, 4, 0, 1, 2, 2, 2, 2, 3, 0, 1, 4, 4, 1, 2, 3, 4, 3, 2, 1, 0, 2, 1, 2, 1, 2, 4, 4, 4, 2, 3, 1, 3, 4, 3, 2, 1, 1, 3, 3, 3, 4, 2, 0, 2, 2, 1, 3, 2, 4, 3, 4, 2, 2, 3, 4, 4, 2, 4, 3, 3, 0, 1, 4, 2, 4, 0, 1, 2, 1, 4, 4, 4, 3, 1, 3, 2, 2, 2, 0, 1, 2, 4, 1, 0, 3, 1, 0, 4, 2, 1, 1, 3, 1, 4, 2, 3, 2, 1, 3, 3, 2, 0, 1, 2, 3, 1, 0, 1, 2, 3, 4, 3, 2, 3, 0, 3, 0, 3, 2, 2, 0, 1, 4, 3, 1, 4, 0, 0, 3, 3, 4, 1, 2, 1, 4, 4, 2, 3, 1, 0, 0, 2, 3, 4, 2, 2, 0, 2, 0, 4, 1, 0, 2, 1, 4, 4, 2, 3, 2, 3, 2, 4, 3, 1, 2, 1, 3, 3, 2, 1, 0, 3, 4, 0, 4, 1, 2, 1, 1, 3, 1, 2, 2, 1, 0, 1, 3, 3, 0, 2, 2, 4, 1, 4, 2, 3, 2, 1, 3, 4, 3, 3, 1, 3, 3, 1, 0, 0, 1, 3, 4, 1, 0, 3, 1, 3, 3, 1, 4, 2, 1, 0, 1, 1, 4, 4, 4, 1, 0, 1, 4, 2, 1, 3, 0, 2, 3, 1, 2, 3, 4, 2, 2, 3, 2, 1, 3, 3, 1, 3, 1, 2, 1, 4, 1, 1, 4, 1, 4, 0, 3, 4, 4, 3, 4, 4, 3, 3, 1, 0, 1, 3, 3, 2, 3, 1, 4, 2, 3, 2, 0, 0, 1, 3, 1]
pubkeycol566 = [1, 1, 0, 4, 3, 4, 2, 0, 2, 0, 2, 3, 0, 4, 2, 0, 0, 2, 3, 3, 0, 1, 0, 1, 2, 0, 1, 0, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 3, 1, 1, 0, 4, 4, 4, 0, 1, 0, 4, 4, 4, 4, 4, 2, 4, 2, 0, 2, 3, 0, 0, 1, 3, 0, 3, 0, 0, 2, 1, 4, 3, 3, 2, 0, 3, 2, 2, 2, 4, 3, 2, 2, 2, 4, 1, 2, 4, 1, 0, 2, 1, 4, 0, 0, 3, 3, 3, 4, 3, 0, 0, 4, 0, 4, 1, 3, 1, 0, 3, 2, 0, 0, 3, 2, 2, 4, 3, 4, 0, 2, 2, 4, 0, 2, 1, 0, 4, 1, 1, 4, 0, 3, 2, 0, 4, 3, 3, 2, 3, 1, 2, 3, 1, 2, 2, 4, 1, 4, 3, 1, 1, 4, 3, 4, 1, 2, 2, 0, 0, 2, 3, 0, 4, 0, 0, 4, 4, 3, 0, 4, 1, 2, 0, 3, 4, 2, 2, 0, 2, 3, 4, 1, 1, 1, 1, 3, 0, 3, 2, 0, 3, 0, 3, 0, 2, 0, 3, 4, 3, 2, 2, 4, 0, 3, 2, 1, 4, 3, 1, 3, 3, 4, 2, 1, 4, 1, 1, 1, 2, 3, 1, 1, 0, 4, 2, 4, 1, 4, 1, 3, 3, 1, 1, 1, 4, 1, 2, 3, 1, 0, 1, 3, 3, 4, 0, 2, 4, 2, 3, 2, 3, 3, 0, 4, 2, 1, 0, 4, 2, 0, 3, 2, 3, 2, 3, 0, 3, 1, 0, 3, 2, 0, 0, 2, 2, 3, 0, 1, 4, 4, 2, 4, 0, 2, 3, 0, 2, 1, 2, 1, 2, 1, 3, 1, 3, 3, 0, 3, 3, 4, 4, 2, 4, 3, 4, 0, 0, 2, 0, 3, 4, 4, 0, 2, 2, 3, 2]
pubkeycol567 = [2, 4, 2, 2, 2, 2, 3, 1, 2, 3, 4, 0, 1, 2, 0, 3, 4, 1, 0, 4, 1, 4, 0, 0, 3, 2, 4, 2, 2, 2, 3, 3, 2, 4, 0, 3, 1, 4, 3, 4, 4, 2, 0, 2, 2, 3, 0, 1, 4, 2, 3, 3, 4, 0, 4, 1, 1, 4, 3, 2, 2, 1, 1, 1, 0, 3, 3, 0, 1, 4, 0, 2, 3, 4, 4, 3, 2, 2, 1, 2, 4, 0, 1, 1, 1, 4, 3, 3, 4, 3, 3, 2, 0, 3, 2, 1, 2, 4, 2, 0, 2, 2, 3, 2, 3, 0, 4, 2, 3, 3, 2, 2, 0, 0, 3, 2, 0, 4, 3, 2, 0, 2, 4, 4, 0, 1, 3, 2, 1, 0, 0, 4, 4, 0, 3, 2, 0, 0, 4, 4, 3, 2, 2, 4, 1, 4, 1, 0, 4, 2, 0, 0, 1, 3, 3, 0, 2, 0, 3, 0, 2, 3, 4, 0, 4, 3, 2, 4, 4, 3, 2, 2, 1, 2, 3, 1, 0, 3, 4, 4, 1, 4, 1, 4, 3, 1, 0, 3, 3, 4, 4, 1, 2, 0, 0, 4, 4, 3, 1, 0, 1, 1, 3, 0, 0, 2, 3, 2, 2, 2, 1, 0, 1, 4, 1, 0, 2, 4, 0, 3, 0, 0, 3, 3, 0, 1, 3, 0, 4, 3, 0, 0, 0, 1, 0, 0, 3, 2, 1, 3, 0, 3, 1, 0, 3, 1, 1, 2, 2, 4, 2, 1, 4, 1, 1, 3, 0, 0, 4, 0, 4, 2, 4, 1, 3, 2, 1, 1, 4, 4, 4, 1, 0, 0, 2, 2, 0, 3, 4, 0, 2, 3, 3, 2, 0, 3, 4, 4, 0, 0, 3, 3, 3, 2, 1, 1, 0, 4, 0, 0, 2, 0, 1, 2, 2, 3, 3, 3, 2, 4, 4, 1, 1, 1, 4, 0, 1, 4, 1, 0]
pubkeycol568 = [0, 1, 4, 3, 1, 2, 2, 4, 1, 2, 2, 2, 0, 4, 3, 4, 0, 0, 1, 1, 3, 3, 1, 3, 2, 3, 2, 3, 2, 4, 0, 0, 1, 2, 3, 0, 1, 2, 1, 3, 4, 0, 2, 3, 1, 4, 1, 0, 3, 3, 0, 3, 1, 2, 3, 2, 1, 2, 0, 1, 0, 0, 3, 1, 1, 4, 1, 3, 0, 3, 3, 4, 4, 3, 0, 2, 0, 1, 3, 4, 2, 4, 3, 4, 3, 0, 2, 2, 1, 2, 3, 4, 2, 4, 4, 1, 3, 1, 2, 1, 2, 0, 2, 3, 1, 3, 4, 2, 3, 4, 0, 0, 3, 4, 3, 1, 0, 3, 0, 0, 3, 3, 2, 3, 0, 1, 3, 3, 3, 4, 3, 3, 3, 2, 1, 1, 4, 1, 1, 3, 3, 0, 4, 2, 0, 3, 3, 0, 0, 4, 0, 3, 1, 3, 2, 0, 4, 3, 4, 0, 0, 4, 1, 4, 3, 0, 3, 3, 4, 4, 2, 3, 0, 0, 3, 4, 4, 1, 4, 2, 4, 1, 3, 3, 4, 4, 4, 2, 1, 1, 3, 3, 2, 3, 4, 3, 1, 3, 0, 3, 0, 2, 1, 4, 2, 1, 2, 2, 1, 4, 2, 4, 2, 2, 3, 1, 4, 2, 4, 2, 2, 2, 4, 4, 3, 0, 4, 2, 3, 1, 2, 4, 3, 2, 1, 3, 1, 3, 0, 4, 4, 4, 4, 0, 1, 1, 2, 4, 2, 1, 0, 4, 4, 3, 0, 1, 2, 3, 3, 3, 2, 4, 2, 0, 2, 2, 2, 2, 3, 2, 4, 2, 1, 1, 2, 3, 2, 0, 0, 1, 1, 1, 0, 2, 0, 4, 3, 1, 1, 1, 3, 2, 3, 4, 0, 2, 1, 0, 4, 3, 3, 1, 2, 0, 1, 0, 1, 0, 2, 0, 4, 2, 2, 0, 0, 0, 0, 2, 4, 1]
pubkeycol569 = [1, 1, 3, 1, 0, 3, 0, 0, 0, 0, 2, 1, 0, 1, 4, 2, 3, 4, 2, 0, 2, 0, 4, 3, 2, 2, 0, 0, 0, 4, 3, 3, 2, 3, 0, 2, 2, 3, 3, 2, 2, 4, 3, 4, 0, 4, 4, 3, 4, 2, 1, 1, 0, 4, 3, 1, 2, 2, 3, 3, 1, 1, 0, 3, 1, 2, 1, 4, 4, 1, 2, 4, 2, 0, 0, 4, 1, 4, 0, 4, 1, 3, 3, 0, 2, 2, 3, 4, 0, 4, 1, 0, 0, 0, 4, 2, 0, 1, 2, 2, 4, 2, 3, 0, 3, 0, 2, 4, 3, 4, 3, 1, 2, 1, 2, 0, 1, 3, 1, 0, 4, 4, 2, 4, 4, 4, 4, 4, 4, 3, 2, 4, 2, 3, 3, 2, 4, 1, 0, 4, 3, 2, 1, 3, 1, 0, 0, 0, 0, 2, 4, 1, 3, 4, 0, 3, 1, 3, 3, 4, 0, 1, 2, 3, 2, 0, 3, 2, 0, 4, 0, 1, 0, 2, 0, 4, 4, 3, 1, 0, 4, 0, 1, 2, 1, 1, 1, 4, 0, 2, 4, 1, 2, 3, 4, 4, 3, 1, 4, 1, 0, 0, 1, 3, 1, 2, 4, 4, 1, 4, 0, 4, 0, 4, 0, 1, 0, 2, 0, 2, 0, 0, 3, 4, 0, 2, 3, 2, 1, 2, 3, 1, 3, 3, 0, 0, 2, 3, 4, 0, 3, 0, 2, 2, 1, 0, 2, 4, 3, 1, 2, 2, 4, 0, 4, 1, 3, 3, 2, 2, 0, 1, 3, 4, 3, 0, 3, 4, 0, 2, 4, 2, 0, 1, 4, 4, 1, 3, 2, 1, 0, 2, 1, 4, 3, 2, 4, 2, 3, 1, 4, 0, 2, 0, 1, 0, 1, 1, 4, 0, 3, 2, 2, 0, 2, 2, 3, 2, 2, 2, 4, 4, 1, 1, 1, 3, 3, 0, 0, 2]
pubkeycol570 = [3, 2, 2, 2, 1, 0, 0, 1, 3, 3, 0, 0, 0, 4, 4, 2, 3, 3, 2, 2, 2, 3, 4, 4, 3, 4, 2, 1, 0, 3, 0, 2, 1, 4, 4, 1, 3, 3, 2, 0, 0, 3, 0, 4, 1, 3, 2, 3, 1, 2, 3, 4, 2, 3, 4, 4, 0, 0, 2, 3, 0, 4, 1, 2, 0, 3, 1, 2, 4, 2, 2, 0, 0, 3, 0, 3, 2, 0, 3, 1, 3, 4, 1, 4, 3, 0, 4, 4, 2, 3, 2, 0, 4, 1, 2, 2, 3, 4, 3, 2, 1, 4, 4, 1, 0, 4, 3, 1, 1, 2, 0, 0, 4, 3, 1, 2, 1, 0, 3, 0, 4, 2, 3, 2, 1, 1, 2, 4, 2, 1, 2, 0, 2, 3, 1, 1, 1, 0, 4, 2, 3, 2, 1, 3, 4, 4, 3, 1, 1, 0, 2, 3, 4, 3, 4, 3, 0, 3, 0, 0, 1, 0, 3, 1, 4, 1, 0, 2, 2, 2, 1, 2, 1, 3, 0, 2, 4, 4, 3, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 2, 4, 3, 2, 3, 3, 2, 0, 3, 1, 3, 3, 4, 2, 4, 0, 4, 0, 2, 0, 0, 0, 0, 1, 2, 4, 1, 4, 1, 3, 2, 2, 4, 3, 2, 4, 2, 1, 0, 0, 0, 4, 2, 0, 3, 0, 2, 1, 4, 1, 1, 0, 3, 2, 3, 3, 2, 4, 3, 2, 3, 4, 2, 1, 3, 2, 4, 1, 1, 0, 4, 3, 0, 1, 4, 1, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 4, 3, 3, 0, 4, 4, 2, 2, 0, 4, 4, 1, 1, 2, 4, 0, 4, 2, 2, 0, 4, 2, 3, 3, 0, 3, 4, 3, 1, 0, 4, 0, 3, 0, 4, 4, 3, 3, 4, 4, 0, 2, 0]
pubkeycol571 = [0, 1, 0, 0, 1, 1, 1, 4, 3, 2, 2, 1, 1, 3, 2, 2, 2, 3, 3, 0, 1, 4, 1, 4, 1, 3, 3, 2, 2, 3, 2, 0, 1, 1, 2, 0, 4, 3, 0, 4, 3, 2, 3, 4, 2, 3, 3, 3, 4, 4, 2, 1, 1, 4, 4, 4, 1, 3, 0, 1, 1, 0, 3, 4, 0, 1, 1, 0, 1, 1, 3, 1, 3, 0, 3, 4, 3, 3, 1, 0, 1, 1, 3, 3, 3, 1, 4, 1, 4, 2, 2, 2, 0, 3, 2, 1, 1, 2, 0, 2, 0, 3, 3, 3, 1, 2, 0, 4, 3, 0, 2, 3, 3, 3, 2, 3, 2, 2, 0, 1, 0, 0, 3, 4, 1, 3, 2, 2, 1, 0, 2, 1, 1, 3, 3, 1, 4, 0, 2, 4, 4, 3, 3, 1, 1, 2, 0, 1, 3, 3, 4, 1, 0, 3, 1, 1, 4, 3, 3, 0, 3, 0, 4, 0, 2, 0, 0, 0, 4, 3, 4, 0, 0, 1, 1, 3, 1, 2, 2, 1, 1, 1, 0, 2, 4, 3, 0, 3, 3, 4, 3, 4, 0, 1, 3, 0, 1, 0, 2, 3, 2, 0, 4, 0, 3, 3, 3, 4, 1, 0, 4, 4, 0, 2, 3, 0, 0, 4, 0, 2, 4, 4, 0, 3, 2, 3, 4, 0, 3, 0, 4, 3, 2, 4, 2, 1, 4, 3, 3, 1, 3, 2, 0, 4, 4, 0, 2, 4, 3, 0, 1, 3, 4, 4, 2, 4, 1, 2, 2, 4, 0, 1, 1, 1, 3, 2, 3, 4, 1, 4, 2, 4, 4, 3, 0, 4, 0, 2, 3, 2, 4, 0, 2, 4, 0, 1, 2, 4, 1, 0, 0, 4, 2, 4, 1, 2, 1, 3, 4, 4, 0, 3, 1, 3, 2, 0, 0, 1, 1, 3, 0, 3, 2, 0, 4, 0, 1, 0, 4, 4]
pubkeycol572 = [1, 2, 1, 1, 2, 0, 4, 4, 2, 4, 3, 4, 0, 2, 2, 4, 1, 2, 4, 0, 0, 3, 0, 0, 4, 4, 2, 2, 3, 0, 0, 2, 3, 1, 1, 3, 3, 2, 3, 2, 3, 1, 4, 1, 0, 4, 2, 3, 1, 1, 1, 4, 3, 0, 0, 0, 3, 3, 3, 1, 4, 1, 2, 1, 3, 2, 1, 0, 2, 1, 2, 1, 4, 0, 0, 1, 0, 1, 2, 3, 4, 0, 2, 0, 2, 3, 3, 3, 1, 4, 1, 0, 2, 2, 2, 4, 1, 0, 1, 0, 1, 1, 0, 4, 2, 3, 1, 2, 1, 3, 4, 4, 3, 3, 4, 3, 2, 1, 4, 2, 3, 0, 4, 2, 2, 1, 3, 0, 3, 4, 4, 0, 1, 3, 2, 1, 1, 2, 1, 4, 4, 1, 4, 4, 0, 1, 0, 2, 0, 1, 4, 3, 2, 1, 0, 3, 2, 4, 2, 3, 4, 0, 1, 1, 3, 3, 1, 1, 2, 4, 3, 1, 4, 4, 0, 4, 0, 0, 4, 1, 0, 4, 3, 0, 2, 3, 0, 3, 1, 0, 3, 4, 0, 2, 1, 2, 4, 3, 4, 4, 0, 1, 4, 3, 3, 0, 1, 3, 2, 4, 1, 3, 4, 4, 1, 2, 0, 4, 4, 4, 1, 2, 0, 0, 0, 0, 3, 0, 2, 4, 4, 0, 3, 0, 1, 3, 3, 0, 0, 0, 2, 1, 3, 4, 4, 3, 0, 1, 2, 3, 1, 3, 4, 3, 0, 0, 1, 0, 3, 2, 0, 0, 4, 1, 0, 1, 0, 4, 0, 2, 4, 2, 3, 0, 2, 0, 1, 1, 1, 3, 1, 2, 1, 0, 2, 2, 0, 0, 0, 4, 4, 2, 4, 2, 4, 1, 3, 1, 4, 2, 0, 0, 2, 0, 0, 2, 4, 1, 2, 0, 3, 3, 1, 1, 1, 2, 2, 2, 0, 0]
pubkeycol573 = [1, 4, 1, 3, 1, 3, 1, 0, 2, 1, 1, 1, 3, 2, 3, 2, 4, 4, 4, 2, 1, 1, 0, 4, 2, 2, 2, 1, 0, 0, 1, 0, 3, 3, 3, 1, 3, 1, 0, 1, 2, 3, 1, 0, 2, 3, 2, 1, 0, 0, 4, 3, 1, 0, 2, 2, 0, 2, 0, 3, 1, 2, 0, 2, 1, 2, 0, 1, 1, 3, 0, 1, 2, 2, 2, 4, 1, 4, 0, 4, 1, 0, 4, 0, 0, 2, 2, 4, 2, 3, 2, 3, 2, 0, 1, 3, 2, 4, 3, 0, 0, 3, 0, 4, 4, 1, 0, 0, 0, 1, 3, 3, 1, 1, 2, 2, 4, 4, 4, 4, 2, 3, 1, 4, 0, 2, 4, 4, 3, 1, 0, 2, 2, 4, 4, 3, 2, 3, 3, 2, 3, 4, 0, 4, 4, 2, 4, 0, 1, 2, 1, 0, 3, 1, 1, 2, 3, 4, 4, 1, 4, 0, 0, 4, 0, 1, 4, 4, 0, 3, 1, 3, 4, 0, 4, 3, 0, 2, 2, 4, 2, 1, 4, 2, 0, 3, 0, 3, 2, 0, 0, 3, 1, 3, 2, 4, 2, 4, 0, 4, 2, 3, 1, 4, 1, 1, 2, 4, 2, 0, 4, 1, 1, 0, 2, 1, 3, 2, 2, 1, 3, 1, 4, 2, 4, 1, 1, 4, 4, 4, 4, 2, 0, 1, 3, 2, 1, 0, 0, 4, 1, 3, 4, 2, 3, 1, 2, 2, 2, 1, 0, 2, 1, 4, 0, 0, 1, 4, 2, 1, 4, 0, 4, 1, 3, 2, 4, 3, 0, 3, 1, 2, 0, 1, 1, 4, 3, 3, 2, 2, 1, 2, 0, 4, 1, 1, 3, 2, 0, 2, 0, 3, 1, 3, 0, 3, 1, 2, 2, 0, 2, 2, 1, 3, 0, 4, 3, 3, 3, 3, 3, 4, 0, 3, 1, 2, 2, 0, 4, 3]
pubkeycol574 = [4, 4, 0, 1, 1, 2, 3, 3, 4, 2, 1, 1, 1, 4, 2, 2, 3, 3, 3, 2, 0, 3, 3, 3, 2, 4, 3, 4, 4, 2, 1, 2, 0, 4, 0, 4, 3, 0, 4, 2, 1, 4, 4, 1, 4, 0, 3, 4, 2, 0, 3, 4, 4, 0, 0, 3, 0, 1, 4, 3, 4, 3, 1, 3, 0, 2, 0, 1, 3, 4, 0, 1, 0, 2, 0, 0, 3, 1, 0, 2, 3, 3, 3, 2, 4, 1, 4, 0, 4, 4, 1, 2, 4, 4, 3, 2, 1, 4, 3, 4, 1, 2, 0, 3, 0, 2, 3, 0, 0, 3, 4, 4, 2, 1, 0, 2, 0, 1, 1, 3, 4, 4, 2, 4, 4, 2, 0, 2, 1, 4, 4, 4, 3, 1, 4, 3, 1, 3, 2, 0, 4, 1, 4, 3, 3, 4, 3, 3, 4, 3, 4, 0, 2, 2, 0, 0, 2, 3, 4, 4, 4, 4, 1, 0, 1, 3, 0, 0, 3, 0, 3, 3, 4, 3, 4, 3, 1, 0, 3, 4, 4, 4, 0, 3, 4, 0, 4, 0, 1, 4, 3, 3, 2, 1, 2, 2, 1, 4, 0, 2, 2, 0, 0, 0, 3, 1, 4, 2, 4, 2, 1, 4, 2, 2, 4, 4, 3, 2, 0, 1, 1, 3, 2, 2, 2, 0, 0, 3, 0, 2, 4, 3, 2, 2, 2, 1, 1, 4, 1, 2, 3, 3, 0, 0, 0, 3, 1, 2, 2, 4, 1, 2, 4, 2, 4, 2, 4, 0, 4, 2, 4, 3, 2, 4, 0, 3, 3, 4, 4, 0, 4, 1, 3, 0, 3, 2, 3, 4, 0, 0, 1, 4, 1, 4, 0, 0, 0, 1, 3, 1, 0, 2, 3, 2, 4, 3, 1, 2, 2, 4, 1, 0, 2, 4, 0, 2, 3, 0, 2, 4, 3, 3, 1, 0, 1, 3, 3, 3, 3, 1]
pubkeycol575 = [1, 1, 1, 4, 0, 2, 1, 2, 4, 3, 4, 1, 3, 1, 3, 2, 1, 4, 2, 0, 3, 4, 3, 2, 2, 4, 3, 0, 0, 4, 3, 2, 4, 2, 2, 0, 4, 4, 4, 4, 1, 2, 4, 2, 2, 3, 4, 1, 4, 0, 4, 1, 1, 2, 3, 2, 1, 3, 4, 0, 2, 4, 2, 2, 4, 3, 0, 0, 4, 3, 4, 0, 0, 1, 1, 2, 4, 2, 4, 0, 4, 2, 4, 3, 3, 0, 0, 0, 1, 2, 4, 1, 1, 0, 4, 1, 3, 2, 4, 2, 1, 0, 2, 3, 2, 4, 1, 4, 1, 2, 0, 2, 0, 3, 1, 0, 1, 1, 2, 4, 0, 4, 3, 4, 4, 4, 0, 3, 0, 1, 1, 1, 1, 3, 4, 1, 2, 3, 0, 0, 0, 1, 3, 1, 2, 3, 4, 4, 1, 4, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 4, 0, 1, 2, 4, 1, 2, 1, 2, 4, 1, 0, 0, 4, 1, 3, 4, 4, 0, 1, 1, 4, 3, 1, 3, 3, 1, 1, 1, 4, 0, 3, 2, 4, 2, 1, 2, 1, 0, 2, 4, 2, 4, 3, 1, 4, 1, 2, 4, 2, 3, 3, 2, 2, 3, 3, 4, 4, 4, 3, 3, 1, 2, 3, 3, 1, 3, 0, 4, 1, 3, 1, 0, 2, 0, 3, 3, 1, 1, 1, 1, 0, 2, 2, 4, 4, 2, 0, 4, 2, 4, 2, 4, 2, 0, 0, 0, 1, 0, 0, 4, 4, 3, 0, 1, 0, 0, 1, 2, 1, 4, 3, 0, 1, 1, 4, 1, 3, 0, 0, 2, 1, 4, 2, 3, 3, 3, 0, 4, 4, 2, 4, 0, 3, 1, 3, 1, 3, 0, 0, 0, 1, 4, 3, 0, 4, 1, 1, 1, 4, 1, 3, 4, 4, 1, 3, 0, 1, 3]
pubkeycol576 = [2, 1, 3, 3, 0, 2, 2, 0, 1, 2, 4, 1, 2, 4, 2, 4, 1, 0, 3, 3, 4, 1, 4, 1, 3, 3, 4, 2, 3, 0, 4, 3, 3, 4, 3, 3, 0, 0, 0, 3, 0, 0, 2, 2, 3, 1, 3, 2, 0, 2, 0, 2, 3, 0, 0, 4, 1, 3, 4, 3, 1, 2, 2, 2, 2, 0, 0, 1, 2, 4, 2, 1, 3, 2, 0, 4, 4, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 4, 2, 4, 1, 3, 2, 4, 4, 1, 4, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 3, 4, 0, 4, 4, 0, 4, 1, 3, 3, 0, 2, 0, 4, 2, 3, 1, 0, 1, 2, 2, 1, 3, 1, 4, 2, 0, 0, 3, 1, 2, 0, 4, 0, 0, 2, 0, 2, 4, 3, 4, 0, 2, 1, 3, 4, 4, 2, 3, 3, 3, 1, 3, 2, 2, 0, 3, 1, 2, 3, 1, 1, 3, 0, 3, 3, 2, 3, 2, 0, 2, 3, 1, 2, 3, 2, 3, 2, 2, 2, 1, 4, 0, 3, 1, 2, 2, 3, 1, 1, 0, 4, 0, 4, 0, 1, 3, 2, 3, 3, 0, 1, 0, 2, 4, 2, 1, 0, 4, 2, 0, 1, 1, 2, 1, 4, 2, 1, 3, 3, 3, 2, 0, 4, 1, 1, 4, 2, 4, 2, 2, 3, 3, 0, 0, 1, 0, 0, 1, 2, 0, 2, 4, 2, 4, 0, 4, 0, 4, 0, 2, 0, 2, 0, 4, 3, 3, 0, 2, 0, 3, 0, 0, 3, 0, 2, 1, 3, 3, 0, 3, 4, 1, 0, 1, 4, 2, 0, 4, 0, 3, 1, 0, 3, 3, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 3, 4, 2, 0, 2, 4, 0, 1, 2, 4, 2, 1, 2, 3, 2, 3, 0, 3]
pubkeycol577 = [0, 3, 1, 4, 4, 1, 0, 0, 4, 1, 3, 0, 3, 3, 3, 3, 1, 3, 3, 2, 3, 0, 4, 3, 4, 4, 4, 0, 1, 0, 4, 2, 4, 3, 4, 1, 0, 0, 1, 0, 1, 4, 1, 2, 1, 2, 2, 4, 3, 1, 3, 0, 2, 1, 3, 2, 0, 0, 0, 1, 3, 0, 0, 2, 3, 0, 1, 2, 4, 3, 3, 2, 1, 0, 3, 4, 3, 4, 1, 1, 0, 1, 4, 3, 1, 1, 3, 2, 1, 4, 1, 0, 4, 3, 0, 2, 4, 4, 1, 4, 4, 0, 3, 1, 2, 4, 3, 1, 1, 3, 3, 3, 2, 3, 4, 0, 2, 1, 3, 1, 1, 3, 3, 3, 3, 4, 3, 3, 1, 2, 1, 0, 4, 4, 0, 3, 3, 4, 3, 0, 3, 3, 4, 0, 3, 1, 1, 2, 3, 3, 3, 4, 4, 0, 0, 2, 2, 1, 3, 2, 1, 1, 3, 1, 3, 4, 3, 2, 2, 4, 4, 4, 2, 1, 1, 2, 3, 1, 0, 3, 3, 2, 4, 1, 4, 1, 2, 4, 2, 2, 0, 3, 0, 4, 4, 3, 4, 4, 4, 1, 3, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 2, 2, 0, 4, 3, 1, 1, 2, 3, 1, 0, 0, 4, 2, 3, 0, 3, 1, 0, 2, 0, 1, 0, 4, 3, 1, 4, 3, 3, 4, 2, 2, 2, 4, 0, 0, 4, 0, 4, 2, 3, 2, 3, 3, 0, 4, 4, 3, 3, 0, 2, 3, 1, 1, 3, 3, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 4, 4, 0, 1, 4, 1, 1, 2, 0, 2, 2, 1, 3, 2, 2, 4, 4, 0, 0, 2, 0, 3, 0, 4, 2, 0, 2, 3, 2, 4, 4, 1, 2, 0, 1, 0, 1, 4, 0]
pubkeycol578 = [1, 1, 1, 4, 1, 1, 3, 2, 3, 4, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 3, 0, 3, 0, 3, 2, 0, 3, 0, 0, 1, 4, 3, 2, 0, 1, 3, 0, 0, 3, 1, 1, 0, 3, 2, 1, 2, 3, 3, 0, 0, 1, 3, 3, 3, 2, 0, 2, 1, 3, 1, 0, 0, 4, 3, 0, 1, 2, 0, 4, 0, 1, 2, 2, 2, 0, 0, 3, 2, 4, 4, 3, 3, 3, 4, 1, 1, 0, 0, 4, 4, 3, 1, 0, 2, 3, 4, 0, 2, 2, 0, 2, 1, 4, 3, 3, 1, 2, 3, 1, 4, 0, 2, 2, 1, 1, 4, 2, 2, 1, 0, 2, 2, 0, 1, 2, 3, 0, 3, 1, 4, 2, 4, 0, 0, 4, 0, 0, 4, 0, 4, 3, 1, 0, 1, 2, 4, 2, 4, 1, 2, 0, 1, 1, 2, 3, 3, 3, 3, 2, 0, 2, 4, 3, 0, 0, 3, 1, 0, 0, 2, 1, 1, 1, 3, 0, 2, 3, 4, 4, 1, 2, 2, 4, 0, 1, 4, 4, 4, 1, 1, 0, 2, 0, 3, 1, 0, 3, 1, 1, 1, 4, 2, 3, 2, 4, 4, 3, 3, 4, 0, 2, 2, 2, 3, 1, 2, 3, 4, 0, 2, 1, 2, 0, 1, 3, 2, 1, 2, 1, 0, 3, 3, 1, 4, 2, 2, 1, 3, 0, 0, 3, 2, 0, 4, 3, 2, 4, 4, 0, 1, 2, 4, 3, 0, 2, 2, 3, 3, 1, 4, 3, 3, 2, 3, 2, 2, 0, 3, 0, 0, 4, 2, 1, 4, 4, 2, 4, 0, 4, 3, 3, 0, 0, 1, 4, 3, 2, 2, 3, 2, 3, 4, 1, 2, 3, 4, 1, 1, 4, 4, 2, 2, 4, 2, 3, 0, 3, 2, 0, 1, 4, 0, 0, 1, 0, 2, 4, 1, 2]
pubkeycol579 = [2, 1, 4, 0, 0, 2, 1, 0, 2, 4, 3, 4, 2, 0, 2, 1, 2, 1, 0, 1, 3, 3, 3, 0, 0, 1, 1, 0, 3, 1, 0, 2, 3, 2, 1, 2, 0, 4, 0, 1, 1, 2, 4, 2, 0, 0, 4, 4, 4, 0, 1, 1, 2, 2, 1, 2, 0, 4, 4, 0, 1, 3, 3, 1, 1, 1, 3, 4, 4, 4, 4, 3, 3, 2, 4, 4, 1, 1, 4, 0, 2, 0, 4, 2, 0, 2, 4, 4, 3, 3, 0, 4, 4, 4, 2, 3, 0, 1, 0, 4, 0, 3, 4, 1, 0, 1, 1, 0, 1, 4, 4, 3, 3, 4, 2, 3, 3, 2, 0, 0, 0, 3, 3, 2, 2, 4, 3, 0, 3, 0, 2, 4, 1, 0, 3, 3, 2, 3, 0, 1, 3, 2, 0, 0, 0, 2, 3, 2, 0, 1, 0, 4, 4, 0, 3, 4, 1, 3, 0, 0, 0, 4, 1, 4, 0, 2, 2, 4, 0, 4, 3, 0, 4, 0, 4, 4, 4, 4, 2, 3, 0, 4, 1, 2, 3, 1, 0, 1, 2, 0, 4, 2, 2, 0, 2, 3, 4, 1, 0, 1, 2, 4, 0, 3, 0, 2, 4, 0, 4, 3, 0, 3, 3, 0, 3, 2, 3, 0, 2, 2, 2, 0, 2, 1, 0, 0, 3, 3, 3, 1, 2, 4, 4, 1, 4, 3, 0, 1, 0, 1, 1, 2, 1, 4, 1, 3, 3, 2, 0, 1, 1, 3, 1, 1, 2, 4, 3, 1, 3, 4, 4, 1, 3, 3, 0, 3, 4, 3, 4, 2, 2, 1, 1, 3, 3, 3, 2, 4, 3, 1, 4, 1, 4, 1, 2, 2, 1, 4, 4, 4, 0, 3, 1, 3, 0, 3, 4, 3, 3, 4, 1, 4, 1, 3, 1, 1, 2, 0, 4, 4, 3, 2, 4, 3, 1, 0, 2, 0, 1, 1]
pubkeycol580 = [4, 2, 1, 0, 3, 1, 2, 4, 0, 4, 4, 1, 1, 3, 1, 1, 4, 2, 0, 4, 4, 1, 2, 4, 0, 4, 2, 1, 0, 2, 3, 3, 1, 3, 4, 3, 1, 2, 0, 3, 2, 2, 1, 0, 4, 3, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 3, 1, 3, 1, 1, 2, 4, 2, 2, 2, 2, 4, 3, 2, 0, 1, 2, 0, 2, 0, 4, 1, 3, 3, 2, 2, 3, 4, 4, 3, 2, 1, 3, 3, 3, 2, 4, 0, 0, 3, 0, 1, 0, 3, 4, 3, 1, 1, 2, 3, 2, 3, 0, 1, 4, 1, 2, 2, 2, 2, 2, 0, 2, 3, 4, 0, 2, 1, 2, 1, 4, 1, 1, 2, 4, 2, 2, 2, 1, 4, 2, 1, 3, 3, 1, 2, 3, 2, 0, 0, 0, 3, 4, 3, 2, 1, 3, 1, 0, 0, 1, 1, 3, 4, 3, 4, 2, 4, 1, 3, 2, 4, 3, 0, 3, 1, 0, 3, 4, 2, 0, 4, 0, 0, 2, 0, 0, 1, 2, 2, 4, 2, 4, 0, 4, 3, 3, 2, 3, 1, 1, 1, 3, 2, 2, 3, 2, 4, 3, 1, 1, 4, 3, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 4, 1, 0, 1, 2, 4, 0, 0, 4, 2, 1, 4, 3, 2, 4, 1, 1, 0, 0, 2, 3, 0, 1, 1, 1, 0, 1, 4, 2, 0, 2, 1, 0, 4, 0, 1, 0, 1, 0, 3, 2, 1, 3, 0, 1, 2, 4, 4, 0, 3, 0, 4, 0, 1, 0, 1, 1, 1, 0, 1, 4, 3, 4, 0, 2, 2, 4, 4, 2, 3, 2, 1, 3, 4, 1, 1, 3, 4, 2, 1, 3, 2, 2, 2, 2, 4, 2, 0, 3, 1, 2, 2, 2, 0, 3, 2]
pubkeycol581 = [4, 0, 2, 3, 1, 4, 1, 0, 2, 0, 2, 2, 1, 4, 1, 2, 0, 2, 3, 1, 4, 4, 0, 3, 0, 4, 0, 4, 2, 3, 1, 3, 2, 2, 0, 2, 4, 0, 1, 2, 2, 3, 2, 4, 4, 0, 3, 0, 2, 1, 2, 3, 2, 0, 4, 1, 2, 0, 0, 3, 3, 4, 4, 3, 0, 1, 3, 2, 2, 2, 4, 2, 4, 4, 3, 4, 3, 3, 4, 1, 4, 2, 1, 3, 0, 4, 1, 3, 4, 4, 1, 1, 4, 4, 2, 0, 0, 4, 0, 2, 3, 2, 1, 2, 3, 1, 0, 1, 0, 4, 1, 1, 0, 3, 1, 4, 0, 1, 2, 1, 1, 3, 0, 4, 4, 0, 3, 2, 0, 2, 1, 0, 1, 3, 3, 2, 4, 0, 1, 4, 4, 2, 2, 4, 0, 2, 4, 2, 0, 4, 1, 3, 3, 0, 0, 4, 0, 0, 1, 3, 4, 4, 3, 1, 3, 0, 3, 3, 0, 3, 3, 0, 2, 2, 0, 2, 3, 3, 2, 3, 2, 1, 0, 1, 4, 2, 3, 2, 0, 0, 0, 0, 3, 0, 0, 1, 0, 3, 3, 2, 0, 2, 1, 2, 4, 4, 2, 1, 3, 2, 0, 4, 1, 3, 2, 3, 2, 3, 4, 2, 4, 2, 0, 0, 3, 2, 1, 1, 1, 2, 1, 4, 4, 2, 1, 4, 3, 1, 1, 4, 3, 2, 0, 4, 2, 4, 0, 0, 2, 3, 4, 0, 4, 4, 4, 3, 3, 4, 3, 0, 1, 3, 0, 1, 0, 1, 4, 3, 1, 2, 4, 3, 3, 0, 1, 1, 4, 4, 2, 0, 1, 2, 0, 0, 1, 3, 4, 1, 2, 1, 2, 1, 3, 0, 4, 3, 1, 4, 1, 1, 1, 4, 0, 0, 4, 3, 4, 4, 1, 0, 0, 1, 2, 2, 3, 0, 1, 0, 0, 4]
pubkeycol582 = [1, 4, 3, 4, 0, 0, 3, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 4, 1, 4, 3, 1, 0, 0, 0, 4, 4, 0, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 3, 3, 4, 1, 2, 0, 2, 4, 0, 2, 4, 1, 4, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 3, 4, 1, 0, 1, 1, 0, 1, 1, 2, 4, 3, 4, 3, 0, 4, 0, 1, 3, 2, 2, 1, 3, 0, 1, 0, 2, 1, 0, 3, 0, 1, 0, 4, 0, 0, 4, 1, 0, 2, 2, 2, 3, 2, 4, 0, 4, 3, 2, 1, 3, 0, 3, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 0, 0, 4, 1, 2, 2, 2, 3, 1, 4, 1, 0, 4, 4, 3, 2, 0, 0, 3, 3, 1, 4, 0, 3, 2, 4, 0, 1, 2, 2, 1, 2, 1, 4, 1, 0, 0, 3, 0, 3, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 4, 0, 1, 2, 3, 1, 1, 0, 4, 1, 3, 4, 3, 1, 4, 1, 3, 4, 3, 3, 0, 2, 4, 0, 4, 4, 0, 3, 2, 1, 2, 0, 4, 4, 3, 0, 2, 3, 0, 4, 3, 1, 4, 0, 3, 4, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 4, 3, 0, 1, 3, 2, 4, 3, 0, 2, 3, 0, 2, 2, 0, 0, 4, 3, 3, 4, 1, 2, 3, 0, 0, 3, 3, 0, 3, 0, 1, 2, 0, 1, 3, 0, 2, 3, 3, 3, 2, 4, 3, 3, 1, 4, 0, 2, 2, 0, 2, 3, 1, 1, 0, 1, 4, 1, 3, 1, 2, 3, 4, 0, 0, 1, 3, 3, 4, 0, 0, 0, 3, 0, 1, 0, 4, 4, 3, 2, 4, 1, 1, 4, 4, 3]
pubkeycol583 = [0, 1, 0, 1, 4, 3, 1, 1, 2, 4, 1, 2, 3, 3, 1, 2, 2, 2, 3, 0, 1, 4, 1, 1, 3, 3, 3, 0, 0, 2, 0, 3, 2, 0, 3, 3, 3, 1, 3, 2, 3, 1, 2, 4, 4, 4, 4, 2, 4, 4, 2, 4, 2, 1, 1, 4, 0, 1, 2, 2, 1, 0, 0, 2, 3, 1, 3, 3, 2, 3, 1, 3, 4, 0, 0, 3, 2, 1, 2, 3, 2, 4, 0, 2, 0, 4, 2, 1, 4, 2, 1, 0, 3, 1, 1, 0, 1, 2, 4, 0, 1, 1, 3, 3, 2, 1, 1, 3, 0, 2, 0, 1, 0, 3, 0, 0, 0, 0, 1, 1, 4, 2, 1, 3, 2, 0, 1, 3, 2, 3, 4, 2, 1, 0, 0, 2, 4, 1, 4, 3, 2, 4, 3, 1, 2, 2, 4, 4, 2, 1, 1, 3, 4, 2, 4, 4, 3, 1, 4, 4, 0, 4, 3, 2, 4, 4, 1, 4, 4, 2, 3, 2, 2, 1, 0, 3, 0, 0, 0, 3, 0, 1, 2, 2, 0, 4, 1, 2, 0, 1, 3, 0, 2, 4, 1, 1, 3, 2, 0, 0, 1, 1, 3, 3, 1, 0, 4, 2, 0, 2, 0, 0, 2, 4, 0, 1, 4, 2, 3, 3, 3, 3, 1, 0, 2, 1, 2, 3, 2, 3, 4, 4, 3, 3, 2, 3, 2, 4, 4, 0, 4, 2, 1, 3, 4, 3, 4, 2, 0, 2, 3, 2, 1, 1, 3, 1, 4, 2, 3, 2, 2, 0, 2, 0, 2, 4, 1, 0, 2, 1, 0, 2, 1, 1, 1, 4, 3, 1, 0, 4, 0, 4, 2, 4, 1, 2, 4, 0, 2, 3, 3, 3, 2, 4, 3, 2, 4, 0, 3, 1, 1, 0, 4, 2, 1, 3, 1, 3, 3, 2, 1, 2, 4, 3, 3, 3, 3, 2, 2, 3]
pubkeycol584 = [1, 1, 3, 0, 1, 4, 1, 0, 0, 4, 3, 3, 0, 4, 3, 2, 3, 0, 0, 4, 0, 2, 3, 3, 2, 2, 1, 2, 4, 3, 3, 4, 4, 2, 4, 0, 4, 4, 0, 3, 0, 0, 2, 1, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 1, 2, 0, 1, 3, 0, 3, 3, 3, 1, 4, 2, 1, 2, 4, 2, 0, 3, 0, 4, 2, 0, 3, 2, 3, 3, 0, 3, 4, 2, 2, 2, 0, 3, 2, 0, 2, 4, 4, 4, 3, 3, 4, 0, 1, 0, 2, 2, 3, 2, 0, 1, 0, 1, 3, 4, 0, 2, 1, 0, 4, 4, 0, 3, 4, 1, 0, 1, 2, 1, 2, 0, 2, 4, 3, 2, 1, 2, 4, 3, 4, 3, 3, 1, 2, 3, 1, 1, 3, 0, 4, 4, 3, 1, 0, 2, 1, 0, 2, 1, 4, 4, 3, 0, 0, 3, 4, 0, 0, 3, 1, 3, 1, 0, 1, 3, 2, 3, 0, 1, 0, 3, 0, 4, 4, 1, 1, 2, 2, 3, 3, 3, 0, 0, 1, 0, 3, 4, 0, 0, 4, 3, 3, 1, 3, 1, 0, 2, 4, 1, 4, 0, 1, 0, 1, 3, 3, 4, 0, 4, 4, 3, 1, 2, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 4, 3, 3, 0, 0, 2, 0, 4, 3, 1, 3, 1, 4, 4, 0, 4, 0, 2, 0, 4, 2, 4, 1, 2, 0, 4, 4, 4, 3, 3, 4, 1, 3, 2, 4, 2, 4, 0, 4, 1, 0, 1, 0, 4, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 1, 3, 3, 2, 0, 0, 2, 4, 0, 1, 1, 1, 2, 4, 3, 0, 3, 4, 2, 3, 4, 3, 0, 4, 0, 0, 3, 0, 4, 1, 0]
pubkeycol585 = [2, 3, 4, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 3, 0, 1, 1, 1, 3, 3, 4, 2, 1, 0, 1, 0, 2, 0, 4, 1, 0, 3, 4, 0, 1, 3, 1, 1, 2, 3, 1, 3, 4, 1, 0, 0, 0, 1, 4, 2, 3, 2, 2, 1, 2, 1, 2, 1, 1, 1, 4, 1, 1, 4, 0, 1, 4, 4, 2, 4, 3, 4, 2, 2, 1, 1, 1, 3, 2, 3, 2, 4, 0, 2, 4, 3, 2, 1, 3, 4, 4, 2, 1, 2, 0, 0, 1, 3, 4, 0, 0, 3, 2, 4, 2, 1, 0, 3, 2, 4, 4, 1, 1, 3, 1, 0, 4, 2, 3, 2, 0, 1, 0, 2, 3, 2, 1, 4, 2, 2, 1, 0, 3, 0, 4, 2, 1, 0, 0, 1, 2, 3, 4, 0, 4, 3, 1, 0, 3, 2, 3, 0, 0, 1, 2, 0, 1, 4, 3, 1, 0, 0, 0, 2, 2, 3, 3, 2, 4, 1, 3, 0, 1, 3, 1, 1, 0, 0, 0, 2, 4, 1, 3, 3, 1, 0, 1, 3, 3, 0, 3, 1, 0, 1, 2, 1, 4, 4, 3, 2, 4, 3, 1, 0, 0, 1, 3, 2, 1, 0, 4, 0, 3, 0, 0, 2, 4, 0, 4, 0, 2, 1, 2, 3, 3, 0, 4, 1, 3, 2, 4, 3, 3, 2, 4, 2, 1, 3, 4, 4, 4, 1, 1, 3, 1, 3, 0, 4, 1, 0, 2, 2, 3, 3, 2, 1, 3, 2, 0, 1, 1, 2, 2, 1, 0, 2, 4, 2, 4, 3, 3, 2, 2, 1, 0, 4, 4, 3, 3, 0, 1, 3, 1, 4, 2, 2, 3, 3, 0, 0, 4, 0, 1, 3, 4, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 4, 4, 3, 1, 3, 3, 3, 4, 4, 3]
pubkeycol586 = [1, 0, 1, 3, 3, 0, 0, 3, 3, 0, 0, 2, 4, 2, 0, 0, 4, 0, 1, 1, 3, 1, 4, 1, 4, 2, 1, 1, 2, 0, 1, 0, 0, 3, 4, 3, 3, 0, 4, 1, 1, 0, 1, 4, 3, 2, 1, 3, 4, 4, 4, 4, 1, 1, 1, 2, 0, 3, 3, 0, 1, 3, 1, 4, 0, 2, 0, 3, 2, 0, 0, 3, 4, 1, 4, 3, 2, 4, 4, 4, 4, 1, 3, 1, 1, 3, 0, 2, 3, 2, 3, 3, 0, 3, 3, 1, 1, 3, 0, 2, 2, 0, 2, 3, 4, 0, 2, 2, 4, 2, 3, 1, 2, 3, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 4, 0, 2, 0, 3, 0, 0, 3, 0, 4, 4, 2, 0, 3, 0, 1, 3, 2, 0, 4, 3, 1, 2, 1, 1, 4, 4, 3, 1, 1, 4, 3, 4, 3, 1, 2, 0, 2, 3, 0, 2, 0, 0, 4, 2, 3, 0, 3, 1, 3, 1, 4, 0, 0, 0, 2, 0, 1, 4, 2, 3, 0, 0, 4, 2, 0, 3, 3, 1, 1, 4, 4, 1, 4, 1, 0, 0, 1, 1, 1, 3, 3, 0, 4, 2, 4, 0, 4, 2, 3, 4, 3, 3, 3, 2, 2, 1, 1, 2, 4, 3, 1, 2, 4, 3, 4, 0, 2, 4, 1, 1, 1, 0, 2, 4, 1, 3, 1, 0, 2, 1, 2, 3, 0, 2, 4, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 0, 0, 1, 0, 3, 2, 1, 2, 3, 0, 2, 1, 2, 2, 3, 1, 4, 1, 4, 2, 1, 3, 3, 2, 4, 0, 2, 2, 0, 0, 4, 1, 3, 3, 3, 3, 1, 3, 0, 2, 1, 1, 2, 1, 4, 3, 4, 0, 3, 3, 2, 0, 1, 0, 3, 0, 4]
pubkeycol587 = [1, 0, 1, 0, 2, 3, 0, 4, 2, 4, 4, 0, 3, 0, 4, 1, 2, 4, 0, 2, 0, 3, 4, 2, 4, 2, 0, 0, 4, 0, 1, 3, 4, 3, 0, 0, 3, 2, 3, 0, 1, 4, 2, 2, 3, 2, 0, 3, 3, 3, 3, 1, 1, 4, 2, 2, 1, 1, 4, 0, 0, 1, 3, 3, 2, 1, 0, 1, 3, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 4, 4, 3, 0, 4, 1, 0, 0, 3, 0, 3, 4, 3, 1, 2, 2, 2, 1, 2, 4, 2, 2, 0, 3, 3, 2, 3, 3, 3, 0, 0, 4, 0, 3, 4, 3, 3, 1, 0, 3, 1, 0, 0, 1, 4, 4, 2, 3, 4, 1, 3, 2, 0, 0, 4, 0, 4, 0, 1, 3, 4, 2, 1, 1, 2, 0, 2, 3, 0, 3, 4, 1, 2, 1, 3, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 3, 2, 4, 4, 3, 2, 2, 3, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 3, 4, 0, 3, 4, 1, 3, 3, 1, 2, 3, 4, 1, 0, 2, 4, 4, 1, 3, 0, 3, 1, 4, 2, 0, 3, 0, 0, 3, 4, 1, 0, 2, 2, 1, 1, 0, 0, 0, 3, 3, 2, 3, 3, 3, 4, 3, 4, 0, 4, 3, 1, 1, 2, 2, 3, 0, 1, 0, 2, 0, 1, 1, 1, 1, 3, 2, 1, 2, 0, 1, 3, 0, 0, 3, 0, 4, 4, 2, 0, 3, 4, 2, 2, 0, 2, 1, 2, 2, 3, 1, 4, 1, 4, 3, 1, 3, 2, 2, 3, 2, 2, 0, 0, 3, 1, 3, 4, 3, 3, 4, 0, 3, 0, 3, 0, 4, 4, 4, 4, 1, 1, 2, 1]
pubkeycol588 = [4, 3, 4, 3, 3, 0, 3, 3, 1, 3, 3, 4, 0, 2, 4, 4, 1, 4, 2, 3, 3, 3, 2, 3, 4, 0, 3, 3, 4, 2, 0, 0, 4, 2, 1, 4, 2, 1, 4, 1, 1, 2, 4, 3, 3, 1, 3, 2, 2, 1, 1, 1, 4, 0, 0, 1, 0, 1, 4, 0, 1, 1, 0, 0, 3, 0, 3, 0, 2, 3, 4, 1, 4, 4, 2, 2, 1, 2, 3, 1, 2, 0, 3, 3, 3, 2, 2, 1, 2, 4, 4, 3, 4, 3, 0, 2, 4, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 4, 2, 2, 3, 2, 0, 0, 3, 0, 0, 0, 1, 4, 1, 2, 1, 4, 0, 2, 3, 0, 0, 2, 3, 4, 0, 2, 1, 3, 2, 2, 2, 1, 1, 3, 2, 3, 0, 1, 0, 1, 0, 0, 4, 3, 2, 4, 1, 0, 4, 3, 3, 2, 4, 0, 3, 4, 4, 1, 3, 1, 0, 1, 4, 0, 4, 3, 3, 2, 4, 0, 3, 1, 2, 0, 4, 2, 4, 3, 0, 1, 4, 0, 0, 4, 1, 4, 1, 2, 3, 1, 2, 1, 4, 3, 4, 4, 2, 1, 0, 2, 0, 1, 4, 3, 4, 2, 2, 3, 2, 2, 0, 3, 1, 1, 0, 1, 4, 2, 3, 0, 0, 3, 2, 1, 1, 3, 2, 4, 1, 0, 3, 4, 1, 0, 0, 2, 2, 1, 4, 1, 3, 2, 4, 2, 0, 3, 4, 2, 4, 1, 4, 2, 0, 1, 2, 2, 3, 3, 3, 3, 1, 0, 2, 1, 0, 0, 3, 4, 1, 3, 2, 2, 1, 4, 4, 2, 1, 2, 3, 4, 1, 2, 3, 0, 0, 4, 2, 0, 3, 3, 3, 2, 1, 1, 0, 1, 2, 1, 1, 1, 3, 2, 3, 2, 3, 3, 1, 2, 4, 3, 2]
pubkeycol589 = [1, 3, 0, 2, 3, 0, 2, 3, 3, 3, 4, 3, 0, 4, 1, 2, 1, 3, 1, 0, 1, 3, 1, 2, 4, 4, 3, 0, 3, 1, 4, 3, 0, 0, 3, 4, 2, 1, 3, 0, 4, 0, 4, 4, 1, 1, 3, 0, 1, 0, 4, 3, 2, 4, 4, 0, 4, 2, 0, 4, 2, 4, 4, 1, 0, 4, 0, 0, 2, 0, 0, 0, 3, 4, 4, 2, 1, 1, 2, 3, 1, 0, 2, 2, 4, 1, 0, 1, 4, 2, 4, 0, 0, 1, 1, 4, 1, 4, 4, 2, 1, 2, 0, 0, 4, 1, 0, 0, 2, 2, 4, 4, 2, 2, 0, 1, 2, 3, 0, 2, 4, 4, 1, 3, 2, 3, 0, 2, 1, 1, 4, 4, 4, 4, 4, 2, 2, 2, 0, 1, 3, 1, 0, 2, 2, 1, 4, 0, 2, 0, 1, 0, 0, 2, 4, 0, 4, 1, 1, 2, 4, 0, 1, 2, 4, 2, 1, 3, 1, 3, 1, 2, 0, 1, 3, 3, 3, 1, 3, 1, 4, 2, 4, 0, 2, 3, 4, 4, 1, 0, 0, 3, 2, 1, 1, 3, 3, 4, 1, 0, 1, 1, 0, 4, 3, 1, 2, 2, 3, 2, 0, 4, 3, 1, 4, 2, 4, 1, 3, 4, 3, 1, 2, 2, 4, 1, 3, 0, 4, 3, 2, 0, 0, 3, 3, 0, 2, 3, 1, 4, 1, 3, 0, 2, 4, 3, 1, 3, 2, 0, 4, 4, 1, 1, 0, 2, 0, 4, 1, 3, 2, 3, 4, 4, 1, 2, 1, 3, 0, 2, 4, 2, 4, 4, 3, 2, 2, 2, 4, 1, 0, 3, 0, 3, 1, 3, 0, 4, 1, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 3, 4, 3, 4, 0, 0, 4, 0, 1, 2, 2, 1, 4, 3, 0, 0, 3, 4, 4, 4, 0]
pubkeycol590 = [1, 1, 3, 4, 1, 0, 1, 4, 1, 4, 3, 3, 0, 4, 0, 1, 3, 0, 0, 1, 4, 1, 3, 3, 0, 0, 3, 1, 4, 1, 1, 2, 0, 4, 0, 3, 2, 4, 4, 3, 3, 4, 2, 3, 1, 1, 1, 0, 1, 0, 3, 0, 0, 2, 2, 1, 1, 4, 0, 4, 3, 2, 1, 0, 2, 3, 1, 0, 3, 0, 4, 2, 1, 4, 1, 4, 1, 2, 4, 2, 3, 1, 0, 2, 4, 0, 1, 0, 1, 1, 3, 0, 2, 1, 3, 2, 2, 3, 3, 3, 4, 4, 3, 0, 1, 0, 0, 2, 0, 1, 3, 1, 4, 2, 2, 2, 0, 1, 0, 1, 4, 4, 0, 1, 3, 4, 0, 1, 1, 1, 3, 1, 2, 3, 1, 0, 3, 1, 1, 0, 2, 4, 1, 3, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 4, 0, 1, 4, 2, 4, 0, 3, 4, 0, 3, 1, 2, 0, 0, 3, 1, 2, 2, 2, 2, 4, 1, 1, 0, 4, 4, 1, 3, 1, 2, 4, 0, 3, 4, 0, 3, 3, 3, 2, 4, 0, 3, 4, 0, 0, 3, 0, 4, 1, 0, 2, 1, 1, 0, 0, 0, 3, 4, 2, 2, 3, 3, 0, 4, 1, 1, 0, 0, 1, 3, 2, 3, 4, 4, 2, 3, 0, 3, 4, 0, 0, 2, 4, 1, 0, 2, 4, 4, 2, 0, 0, 3, 0, 0, 4, 0, 3, 4, 1, 0, 2, 0, 0, 0, 2, 3, 0, 2, 4, 4, 1, 3, 1, 3, 0, 3, 2, 1, 2, 3, 2, 0, 1, 2, 2, 0, 3, 2, 1, 0, 0, 4, 0, 0, 0, 3, 1, 4, 4, 2, 3, 4, 0, 3, 2, 0, 1, 1, 2, 1, 0, 4, 2, 2, 3, 0, 0, 2, 2, 4, 1, 0, 1, 0]
pubkeycol591 = [2, 0, 3, 2, 2, 4, 4, 3, 4, 4, 0, 4, 2, 3, 0, 1, 2, 3, 1, 0, 4, 2, 3, 0, 1, 4, 1, 2, 4, 0, 1, 1, 1, 0, 1, 0, 3, 4, 0, 2, 4, 2, 2, 2, 4, 0, 0, 2, 2, 3, 4, 4, 1, 1, 0, 2, 4, 4, 3, 2, 4, 3, 0, 4, 4, 3, 0, 4, 3, 3, 2, 4, 4, 0, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 3, 4, 4, 2, 0, 0, 4, 3, 3, 1, 4, 2, 3, 4, 4, 4, 1, 1, 4, 1, 2, 3, 2, 3, 0, 0, 4, 3, 4, 2, 2, 2, 0, 0, 0, 3, 1, 2, 2, 1, 2, 1, 0, 0, 1, 4, 3, 3, 2, 2, 3, 4, 4, 1, 4, 1, 0, 3, 3, 1, 3, 4, 2, 4, 1, 4, 3, 3, 0, 1, 1, 4, 2, 2, 4, 2, 4, 1, 3, 4, 1, 4, 2, 4, 2, 0, 4, 0, 4, 1, 0, 0, 4, 2, 1, 2, 4, 0, 3, 1, 0, 4, 1, 3, 4, 0, 1, 3, 1, 2, 0, 1, 1, 3, 0, 2, 1, 4, 3, 3, 3, 2, 4, 3, 3, 2, 3, 3, 3, 4, 4, 0, 3, 2, 4, 2, 3, 0, 1, 4, 2, 4, 2, 2, 0, 0, 2, 4, 1, 3, 2, 0, 1, 3, 0, 2, 4, 2, 2, 1, 2, 0, 4, 1, 1, 3, 0, 4, 0, 3, 3, 3, 4, 3, 2, 3, 2, 2, 2, 0, 4, 0, 4, 3, 1, 3, 0, 3, 1, 0, 1, 2, 4, 2, 3, 1, 1, 4, 1, 2, 3, 1, 4, 2, 3, 4, 3, 1, 2, 0, 1, 1, 2, 4, 4, 1, 2, 4, 1, 3, 1, 1, 1, 2, 3, 0, 3, 1, 4, 1, 2, 2, 2, 1, 0, 1]
pubkeycol592 = [3, 4, 2, 1, 3, 4, 0, 1, 3, 3, 1, 0, 1, 4, 0, 4, 2, 0, 3, 4, 4, 1, 3, 2, 3, 3, 0, 4, 0, 3, 3, 0, 1, 3, 3, 2, 0, 2, 1, 3, 1, 2, 1, 3, 4, 4, 4, 4, 1, 1, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 0, 0, 3, 1, 4, 1, 1, 4, 4, 1, 4, 4, 4, 4, 0, 3, 4, 2, 1, 4, 0, 4, 2, 2, 0, 2, 4, 3, 4, 4, 4, 0, 3, 1, 2, 4, 0, 4, 2, 4, 1, 4, 1, 0, 0, 4, 3, 3, 4, 2, 2, 3, 2, 2, 1, 2, 0, 0, 4, 0, 2, 2, 0, 0, 4, 0, 3, 1, 2, 3, 2, 4, 4, 0, 4, 3, 3, 1, 2, 4, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 0, 0, 1, 2, 3, 1, 3, 4, 0, 4, 1, 2, 0, 4, 0, 0, 1, 3, 3, 4, 3, 3, 1, 2, 0, 4, 3, 2, 4, 0, 2, 1, 1, 1, 4, 2, 0, 2, 3, 4, 1, 3, 4, 1, 2, 3, 4, 3, 2, 1, 0, 4, 4, 0, 1, 4, 2, 4, 0, 3, 1, 3, 2, 3, 3, 2, 2, 1, 0, 3, 3, 2, 4, 0, 0, 1, 2, 1, 1, 3, 3, 2, 0, 3, 3, 2, 2, 0, 4, 0, 3, 4, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 3, 4, 4, 0, 2, 1, 2, 1, 3, 1, 1, 1, 4, 0, 2, 2, 4, 3, 4, 3, 1, 1, 2, 0, 1, 0, 1, 3, 0, 4, 0, 2, 1, 2, 1, 1, 1, 4, 4, 0, 4, 2, 0, 4, 0, 4, 2, 1, 1, 2, 4, 1, 0, 2, 1, 0, 4, 1, 2, 4, 3, 1, 0, 2, 0, 4, 2]
pubkeycol593 = [2, 3, 3, 3, 0, 0, 2, 2, 1, 1, 4, 1, 3, 3, 3, 4, 1, 0, 3, 1, 3, 0, 1, 3, 1, 0, 3, 0, 4, 1, 0, 3, 3, 2, 3, 2, 1, 1, 3, 3, 2, 0, 1, 3, 0, 2, 0, 4, 1, 4, 3, 3, 4, 4, 1, 3, 3, 4, 4, 3, 0, 1, 0, 3, 1, 4, 4, 2, 2, 0, 0, 1, 1, 4, 4, 1, 4, 0, 0, 2, 2, 4, 3, 1, 0, 3, 4, 3, 1, 1, 2, 3, 0, 1, 2, 1, 2, 1, 4, 1, 4, 2, 3, 3, 3, 2, 1, 0, 2, 1, 3, 3, 3, 4, 3, 2, 0, 0, 3, 1, 0, 3, 1, 1, 4, 1, 3, 1, 4, 4, 2, 2, 4, 4, 1, 0, 4, 1, 4, 2, 0, 1, 0, 2, 1, 4, 2, 2, 3, 2, 4, 2, 1, 0, 1, 1, 1, 4, 4, 1, 4, 1, 3, 1, 3, 2, 3, 3, 3, 2, 0, 0, 2, 1, 2, 3, 4, 4, 1, 4, 1, 0, 0, 2, 0, 2, 3, 2, 3, 1, 0, 4, 0, 3, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 0, 3, 2, 3, 0, 4, 4, 3, 2, 2, 3, 3, 3, 1, 2, 2, 3, 4, 1, 0, 0, 0, 4, 4, 1, 4, 2, 1, 2, 4, 4, 3, 0, 0, 2, 1, 3, 0, 3, 1, 0, 0, 4, 4, 4, 1, 0, 4, 1, 1, 4, 2, 4, 0, 1, 2, 3, 3, 0, 3, 3, 2, 1, 0, 1, 1, 1, 2, 0, 4, 3, 2, 2, 3, 2, 4, 4, 4, 2, 4, 2, 0, 2, 2, 3, 1, 4, 1, 4, 0, 0, 0, 2, 3, 4, 1, 1, 3, 2, 4, 4, 1, 3, 0, 1, 3, 2, 2, 3, 0, 0, 3, 0, 2, 1, 3]
pubkeycol594 = [4, 2, 4, 0, 0, 4, 1, 2, 4, 0, 1, 0, 0, 3, 2, 0, 0, 2, 1, 0, 1, 0, 2, 3, 0, 4, 0, 4, 4, 4, 3, 0, 1, 0, 1, 4, 2, 0, 2, 2, 3, 2, 1, 1, 0, 3, 4, 0, 0, 3, 1, 4, 4, 4, 4, 3, 4, 1, 2, 2, 2, 0, 1, 4, 3, 4, 3, 2, 0, 4, 0, 3, 4, 2, 1, 2, 1, 1, 0, 2, 3, 0, 1, 4, 3, 0, 4, 4, 1, 4, 0, 2, 2, 4, 1, 2, 3, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3, 4, 0, 0, 3, 2, 3, 2, 3, 2, 3, 1, 4, 4, 0, 3, 2, 1, 2, 0, 3, 4, 2, 3, 4, 1, 4, 4, 3, 4, 0, 2, 4, 1, 3, 3, 1, 3, 4, 4, 1, 4, 2, 3, 4, 0, 4, 3, 4, 4, 3, 2, 3, 3, 1, 3, 4, 0, 2, 3, 3, 4, 1, 3, 4, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 4, 2, 3, 0, 1, 0, 4, 2, 4, 2, 1, 1, 1, 2, 4, 4, 1, 3, 1, 0, 3, 1, 2, 3, 1, 3, 0, 2, 1, 4, 1, 0, 0, 1, 3, 3, 2, 3, 0, 0, 0, 3, 4, 3, 0, 1, 4, 3, 2, 0, 0, 1, 1, 1, 1, 3, 4, 0, 3, 3, 1, 1, 2, 2, 4, 4, 0, 2, 3, 3, 4, 3, 0, 4, 0, 4, 3, 0, 2, 1, 2, 0, 1, 0, 1, 3, 4, 0, 4, 3, 4, 3, 3, 3, 1, 3, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 4, 1, 3, 4, 0, 2, 2, 1, 2, 2, 0, 3, 2, 2, 1, 0, 4, 1, 3, 4, 0, 1, 3, 2]
pubkeycol595 = [3, 4, 0, 1, 2, 3, 0, 4, 3, 0, 0, 2, 0, 1, 0, 4, 1, 1, 2, 1, 4, 3, 1, 1, 3, 0, 1, 1, 1, 4, 0, 0, 4, 1, 2, 0, 2, 4, 3, 0, 3, 3, 4, 1, 2, 0, 3, 4, 0, 4, 2, 2, 4, 0, 1, 4, 3, 4, 3, 3, 3, 4, 2, 4, 1, 2, 4, 2, 0, 4, 2, 0, 3, 3, 2, 4, 0, 3, 4, 3, 1, 3, 2, 2, 2, 4, 0, 3, 3, 1, 0, 0, 1, 1, 2, 4, 0, 0, 4, 2, 3, 2, 1, 0, 1, 1, 3, 3, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 4, 2, 0, 1, 4, 4, 1, 0, 4, 4, 4, 4, 2, 0, 1, 0, 2, 3, 3, 2, 3, 1, 4, 2, 1, 3, 3, 2, 1, 0, 1, 1, 0, 3, 4, 3, 2, 0, 0, 2, 4, 2, 2, 2, 2, 3, 3, 1, 4, 4, 0, 4, 4, 2, 1, 4, 2, 4, 2, 2, 1, 2, 2, 3, 4, 1, 1, 1, 2, 1, 1, 3, 2, 4, 4, 2, 1, 4, 1, 2, 3, 1, 4, 4, 0, 4, 2, 0, 0, 4, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 3, 0, 0, 3, 3, 0, 4, 4, 1, 2, 3, 2, 4, 0, 2, 2, 0, 2, 4, 0, 3, 0, 2, 1, 4, 1, 4, 0, 2, 2, 4, 1, 4, 4, 0, 0, 0, 4, 2, 3, 0, 0, 3, 1, 3, 3, 2, 0, 1, 2, 3, 4, 0, 1, 3, 3, 3, 1, 1, 3, 3, 2, 1, 3, 4, 4, 0, 0, 3, 1, 2, 1, 1, 2, 0, 3, 1, 1, 1, 2, 1, 1, 4, 1, 0, 4, 0, 2, 1, 3, 0, 0, 2, 3, 0, 4, 0, 2, 1, 1]
pubkeycol596 = [2, 4, 2, 2, 0, 3, 0, 4, 1, 4, 1, 3, 0, 2, 2, 2, 4, 3, 3, 2, 1, 0, 1, 0, 4, 3, 0, 0, 3, 1, 4, 0, 2, 3, 2, 1, 1, 3, 2, 2, 2, 1, 3, 2, 4, 0, 3, 1, 0, 4, 3, 1, 3, 4, 1, 0, 0, 2, 0, 4, 0, 0, 4, 0, 3, 1, 2, 4, 1, 4, 4, 2, 1, 2, 2, 4, 2, 4, 2, 2, 2, 0, 2, 4, 1, 3, 2, 2, 0, 0, 4, 1, 3, 2, 4, 0, 3, 4, 2, 3, 2, 2, 3, 2, 3, 0, 4, 2, 1, 1, 1, 2, 4, 1, 2, 2, 2, 4, 0, 3, 2, 0, 1, 2, 0, 1, 0, 4, 2, 2, 1, 0, 2, 3, 0, 3, 4, 2, 4, 2, 3, 3, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 0, 4, 1, 0, 1, 1, 1, 3, 4, 4, 1, 0, 1, 1, 1, 1, 2, 3, 1, 0, 0, 0, 3, 4, 0, 0, 4, 1, 3, 1, 2, 3, 0, 3, 0, 0, 1, 1, 4, 1, 4, 0, 0, 2, 2, 4, 0, 0, 3, 2, 2, 4, 0, 3, 4, 3, 1, 0, 2, 3, 2, 2, 1, 2, 4, 4, 0, 2, 4, 4, 1, 0, 0, 4, 1, 1, 4, 3, 0, 0, 2, 1, 3, 4, 1, 2, 1, 1, 0, 4, 2, 3, 1, 2, 3, 0, 2, 0, 3, 3, 2, 4, 1, 4, 2, 2, 1, 3, 3, 0, 4, 1, 0, 4, 4, 3, 0, 2, 4, 4, 4, 1, 0, 4, 0, 4, 3, 0, 3, 3, 4, 0, 2, 2, 4, 1, 4, 0, 3, 0, 2, 3, 4, 3, 1, 2, 0, 3, 3, 4, 1, 0, 4, 0, 4, 4, 4, 3, 4, 4, 2, 4, 0, 0, 1, 0, 4, 2]
pubkeycol597 = [3, 2, 0, 2, 0, 4, 4, 3, 1, 4, 1, 4, 1, 0, 2, 0, 1, 1, 1, 2, 1, 3, 4, 4, 2, 2, 0, 0, 2, 3, 1, 1, 4, 1, 4, 3, 4, 2, 2, 0, 1, 0, 2, 3, 0, 3, 2, 0, 0, 2, 3, 2, 0, 1, 2, 3, 0, 3, 2, 4, 4, 3, 1, 3, 0, 3, 2, 2, 3, 2, 1, 4, 4, 2, 4, 3, 4, 1, 4, 4, 0, 0, 3, 1, 2, 4, 2, 1, 1, 3, 2, 4, 4, 4, 3, 1, 2, 1, 4, 3, 3, 4, 4, 4, 2, 4, 1, 2, 0, 1, 3, 1, 2, 3, 1, 0, 1, 0, 1, 0, 4, 2, 4, 1, 0, 3, 2, 2, 2, 1, 1, 1, 2, 3, 0, 4, 3, 1, 1, 4, 3, 4, 3, 3, 1, 2, 3, 0, 2, 2, 0, 1, 2, 0, 4, 0, 4, 4, 1, 4, 4, 3, 1, 3, 3, 0, 4, 4, 1, 2, 2, 3, 1, 1, 2, 1, 0, 1, 3, 2, 1, 0, 3, 1, 0, 0, 2, 1, 0, 0, 2, 3, 2, 1, 3, 0, 3, 4, 3, 4, 0, 3, 4, 1, 2, 3, 2, 4, 0, 0, 1, 1, 2, 4, 4, 0, 4, 3, 1, 0, 1, 4, 3, 1, 2, 3, 1, 2, 3, 3, 2, 1, 4, 4, 1, 1, 1, 3, 3, 3, 3, 4, 1, 1, 0, 3, 2, 3, 0, 2, 2, 3, 3, 0, 0, 1, 3, 1, 1, 4, 0, 0, 1, 2, 1, 0, 4, 4, 1, 3, 2, 1, 4, 0, 2, 4, 4, 0, 0, 3, 4, 4, 3, 2, 4, 0, 3, 2, 1, 2, 4, 2, 4, 0, 1, 1, 2, 2, 1, 3, 4, 4, 1, 2, 2, 1, 2, 2, 0, 0, 3, 3, 3, 0, 2, 0, 0, 2, 3, 0]
pubkeycol598 = [2, 1, 4, 4, 1, 1, 4, 2, 3, 1, 2, 3, 0, 3, 0, 4, 0, 2, 3, 3, 4, 0, 4, 2, 4, 3, 2, 2, 0, 3, 2, 4, 2, 1, 0, 0, 4, 4, 1, 3, 1, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 3, 3, 0, 0, 4, 2, 2, 1, 1, 3, 0, 2, 3, 1, 4, 1, 4, 3, 0, 2, 3, 3, 3, 4, 0, 2, 3, 0, 0, 3, 3, 4, 1, 4, 4, 2, 1, 2, 3, 3, 4, 4, 4, 0, 2, 1, 2, 1, 3, 4, 1, 4, 4, 2, 1, 4, 2, 1, 1, 3, 0, 0, 0, 2, 0, 1, 3, 4, 2, 3, 0, 0, 0, 2, 3, 1, 4, 0, 3, 0, 3, 2, 1, 2, 2, 0, 3, 3, 0, 2, 3, 0, 0, 4, 2, 1, 4, 4, 3, 1, 1, 0, 3, 1, 3, 0, 0, 3, 0, 0, 3, 0, 1, 2, 2, 4, 1, 2, 1, 0, 1, 0, 0, 4, 4, 2, 1, 0, 0, 4, 2, 1, 2, 1, 3, 4, 3, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 3, 4, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 3, 3, 2, 0, 3, 2, 0, 2, 2, 0, 3, 4, 4, 2, 4, 2, 0, 2, 1, 4, 2, 4, 0, 1, 2, 4, 4, 0, 4, 2, 1, 3, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 3, 1, 4, 3, 1, 2, 2, 4, 2, 1, 0, 4, 3, 2, 0, 2, 2, 2, 3, 1, 1, 4, 0, 3, 2, 4, 2, 2, 4, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 4, 3, 2, 2, 1, 4, 0, 3, 1, 2, 4, 3, 2, 1, 0, 2, 4, 1, 3]
pubkeycol599 = [3, 2, 1, 1, 2, 1, 2, 4, 4, 2, 4, 0, 1, 2, 2, 0, 4, 4, 1, 0, 0, 1, 0, 4, 0, 0, 1, 3, 3, 3, 1, 1, 1, 4, 0, 0, 0, 1, 0, 2, 4, 4, 1, 2, 1, 1, 1, 3, 3, 3, 0, 3, 4, 4, 4, 0, 3, 0, 4, 2, 4, 2, 3, 1, 2, 4, 0, 2, 0, 1, 3, 2, 3, 1, 0, 1, 3, 0, 4, 3, 2, 4, 2, 4, 3, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 3, 4, 3, 2, 1, 3, 0, 3, 4, 4, 3, 0, 4, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 4, 1, 1, 0, 2, 1, 0, 2, 2, 4, 3, 4, 4, 2, 1, 3, 1, 2, 2, 1, 3, 0, 3, 1, 0, 1, 4, 3, 2, 2, 3, 0, 3, 1, 2, 3, 3, 0, 1, 1, 4, 4, 0, 1, 0, 4, 1, 3, 2, 3, 3, 2, 4, 1, 0, 3, 2, 4, 1, 2, 1, 2, 3, 0, 1, 3, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 3, 2, 3, 3, 2, 2, 0, 3, 0, 3, 2, 2, 4, 4, 0, 1, 0, 3, 0, 4, 1, 4, 2, 3, 0, 0, 4, 2, 2, 4, 0, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 4, 1, 3, 3, 4, 0, 1, 2, 2, 2, 1, 3, 4, 4, 0, 2, 2, 0, 2, 2, 0, 4, 0, 0, 1, 0, 3, 0, 2, 3, 1, 3, 0, 1, 3, 1, 2, 2, 1, 2, 4, 1, 3, 0, 3, 0, 0, 1, 3, 3, 3, 4, 0, 2, 2, 3, 3, 3, 0, 0, 4, 0, 2, 1, 2, 2, 0, 1, 1, 3, 4, 4, 1, 4, 2, 3, 3, 3, 3, 4]
pubkeycol600 = [3, 0, 4, 3, 0, 3, 1, 3, 3, 4, 0, 1, 1, 2, 1, 2, 4, 1, 2, 3, 3, 4, 1, 4, 0, 1, 3, 3, 2, 2, 1, 0, 2, 3, 0, 4, 1, 3, 1, 1, 0, 3, 3, 3, 3, 3, 4, 2, 3, 0, 1, 4, 4, 0, 4, 3, 2, 3, 1, 4, 1, 2, 0, 2, 3, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 4, 0, 2, 2, 2, 0, 0, 2, 2, 3, 4, 3, 1, 1, 2, 2, 2, 3, 2, 2, 4, 1, 2, 4, 0, 0, 2, 1, 4, 0, 4, 4, 3, 1, 1, 2, 1, 3, 2, 4, 0, 0, 4, 1, 4, 3, 2, 1, 2, 2, 1, 3, 0, 3, 4, 4, 3, 4, 1, 2, 2, 4, 2, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 4, 4, 4, 4, 4, 0, 4, 0, 0, 2, 3, 3, 3, 0, 4, 3, 3, 3, 2, 4, 2, 1, 1, 3, 2, 1, 0, 3, 0, 4, 3, 3, 3, 2, 0, 1, 2, 4, 3, 0, 3, 3, 3, 3, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 3, 1, 3, 3, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 4, 2, 3, 4, 0, 4, 3, 3, 0, 2, 1, 1, 4, 4, 2, 2, 3, 1, 4, 4, 3, 0, 0, 4, 2, 0, 3, 1, 3, 0, 4, 0, 4, 1, 2, 0, 4, 3, 1, 0, 0, 2, 4, 1, 1, 2, 3, 4, 0, 3, 0, 0, 4, 4, 2, 1, 3, 3, 2, 1, 3, 2, 4, 3, 0, 4, 1, 0, 2, 1, 3, 2, 0, 1, 0, 3, 1, 3, 4, 2, 4, 3, 4, 2, 1, 2, 4, 3, 3, 4, 3, 2, 1, 4, 3]
pubkeycol601 = [3, 0, 4, 4, 2, 2, 4, 4, 3, 4, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 4, 2, 2, 3, 0, 4, 0, 4, 3, 0, 4, 4, 4, 0, 1, 1, 3, 4, 0, 2, 1, 1, 1, 3, 0, 1, 1, 1, 2, 4, 3, 0, 2, 2, 3, 0, 1, 3, 0, 1, 0, 2, 3, 0, 4, 1, 4, 3, 4, 0, 2, 0, 1, 0, 3, 0, 2, 0, 1, 4, 3, 4, 0, 3, 2, 0, 3, 0, 0, 4, 2, 3, 2, 1, 3, 1, 3, 1, 3, 2, 2, 1, 0, 4, 0, 0, 2, 3, 4, 1, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 2, 0, 4, 3, 3, 3, 1, 0, 2, 3, 0, 4, 3, 4, 4, 0, 0, 0, 2, 4, 1, 0, 1, 1, 4, 1, 2, 1, 0, 3, 3, 3, 2, 1, 0, 2, 2, 3, 1, 1, 0, 3, 0, 2, 4, 3, 4, 1, 0, 4, 1, 3, 4, 1, 1, 3, 3, 0, 4, 1, 3, 3, 4, 0, 3, 0, 0, 1, 2, 0, 2, 4, 4, 2, 4, 0, 1, 4, 1, 1, 1, 4, 1, 4, 0, 3, 2, 4, 3, 2, 4, 0, 3, 1, 4, 1, 0, 0, 2, 4, 0, 3, 3, 0, 0, 4, 1, 1, 2, 3, 2, 4, 3, 3, 3, 1, 0, 0, 2, 0, 4, 0, 4, 0, 1, 2, 1, 3, 4, 4, 2, 3, 4, 0, 4, 2, 0, 0, 2, 2, 1, 4, 0, 2, 4, 2, 3, 0, 0, 4, 4, 4, 3, 3, 4, 4, 4, 2, 0, 2, 3, 4, 0, 4, 2, 0, 3, 2, 4, 0, 4, 1, 1, 2, 0, 2, 1, 0, 3, 2, 0, 3, 1, 2, 0, 0, 4, 1, 2, 3, 1, 3, 4, 3, 4, 3, 3]
pubkeycol602 = [1, 2, 1, 3, 0, 2, 2, 3, 2, 3, 3, 1, 3, 3, 4, 4, 1, 4, 0, 0, 0, 3, 1, 3, 1, 4, 0, 4, 2, 4, 0, 0, 2, 2, 1, 2, 2, 3, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 4, 0, 3, 1, 3, 4, 1, 4, 0, 0, 1, 0, 2, 4, 2, 0, 1, 0, 4, 3, 3, 1, 3, 3, 2, 2, 3, 3, 4, 2, 0, 4, 1, 4, 0, 3, 3, 4, 0, 4, 4, 4, 2, 4, 4, 2, 4, 0, 4, 4, 3, 3, 0, 0, 3, 4, 0, 0, 0, 3, 2, 2, 4, 1, 2, 4, 1, 3, 0, 3, 4, 1, 0, 4, 4, 2, 0, 3, 3, 0, 2, 3, 2, 2, 3, 2, 2, 2, 0, 3, 3, 4, 3, 4, 1, 3, 1, 2, 2, 4, 0, 1, 2, 3, 1, 2, 2, 1, 2, 4, 4, 4, 4, 4, 0, 4, 4, 2, 3, 1, 0, 3, 4, 3, 1, 1, 2, 1, 2, 3, 0, 1, 2, 4, 0, 2, 0, 2, 2, 1, 4, 2, 3, 2, 4, 3, 2, 2, 2, 4, 3, 3, 2, 2, 0, 4, 4, 1, 4, 0, 3, 2, 0, 1, 4, 0, 3, 3, 3, 4, 3, 4, 2, 3, 1, 2, 4, 0, 3, 3, 1, 3, 2, 0, 3, 1, 4, 4, 4, 1, 0, 0, 0, 3, 1, 0, 0, 0, 2, 3, 0, 3, 3, 0, 3, 2, 2, 4, 1, 3, 3, 2, 2, 0, 1, 4, 2, 0, 2, 3, 4, 4, 1, 0, 3, 0, 4, 3, 2, 1, 4, 0, 3, 2, 3, 4, 4, 1, 2, 4, 4, 3, 4, 1, 3, 1, 3, 3, 0, 2, 4, 3, 3, 1, 0, 4, 2, 3, 3, 4, 0, 2, 0, 4, 2, 4, 4, 0, 2, 0]
pubkeycol603 = [4, 0, 3, 4, 3, 1, 1, 0, 4, 2, 0, 4, 4, 2, 3, 2, 3, 3, 3, 3, 0, 1, 0, 2, 4, 2, 1, 0, 4, 1, 1, 4, 2, 2, 3, 2, 2, 1, 0, 3, 0, 3, 0, 1, 4, 4, 2, 2, 1, 0, 2, 0, 0, 3, 4, 0, 0, 4, 1, 1, 1, 3, 1, 0, 1, 2, 1, 3, 3, 3, 3, 1, 2, 0, 4, 4, 0, 0, 0, 3, 4, 3, 3, 2, 3, 2, 1, 1, 4, 2, 2, 3, 3, 1, 1, 0, 1, 1, 2, 4, 4, 1, 1, 4, 0, 0, 3, 3, 2, 1, 0, 3, 4, 1, 0, 2, 1, 3, 1, 0, 4, 0, 3, 3, 4, 0, 2, 0, 1, 1, 3, 4, 1, 3, 2, 1, 0, 2, 2, 4, 1, 3, 2, 0, 3, 1, 4, 1, 2, 1, 4, 3, 1, 3, 0, 3, 4, 4, 0, 4, 1, 3, 1, 4, 2, 1, 3, 3, 1, 4, 2, 0, 0, 4, 2, 1, 1, 1, 0, 2, 0, 2, 1, 4, 1, 2, 3, 0, 3, 4, 1, 3, 2, 3, 0, 1, 0, 4, 3, 1, 2, 3, 3, 4, 4, 2, 4, 0, 4, 4, 4, 3, 0, 0, 1, 1, 2, 3, 4, 4, 1, 0, 0, 4, 4, 0, 4, 0, 0, 0, 2, 3, 1, 3, 1, 3, 2, 3, 3, 1, 4, 0, 1, 3, 3, 4, 0, 4, 1, 4, 1, 0, 2, 3, 3, 3, 2, 1, 3, 4, 3, 2, 0, 0, 3, 2, 4, 1, 2, 1, 4, 4, 4, 4, 0, 4, 3, 4, 3, 4, 0, 2, 2, 3, 3, 0, 0, 2, 2, 1, 3, 1, 4, 3, 0, 4, 0, 2, 1, 1, 1, 3, 4, 0, 4, 3, 3, 0, 0, 4, 0, 4, 3, 0, 4, 3, 2, 1, 0, 1]
pubkeycol604 = [0, 4, 0, 4, 2, 1, 2, 0, 2, 0, 0, 3, 3, 2, 0, 0, 1, 0, 3, 3, 0, 3, 2, 4, 1, 1, 3, 0, 4, 3, 3, 2, 4, 0, 2, 4, 4, 4, 3, 2, 4, 4, 2, 0, 2, 1, 2, 0, 3, 2, 4, 1, 0, 4, 3, 0, 0, 3, 4, 4, 1, 1, 0, 0, 0, 3, 4, 1, 0, 0, 1, 2, 0, 2, 4, 4, 4, 1, 1, 2, 4, 0, 2, 4, 3, 3, 0, 1, 0, 3, 2, 1, 3, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 4, 3, 0, 0, 0, 2, 0, 4, 1, 1, 1, 0, 1, 1, 4, 2, 4, 0, 2, 0, 1, 3, 4, 1, 0, 2, 0, 0, 3, 4, 4, 4, 3, 2, 3, 2, 1, 1, 4, 4, 3, 1, 2, 2, 2, 1, 4, 1, 0, 4, 1, 3, 2, 4, 1, 0, 2, 1, 2, 1, 2, 1, 3, 3, 4, 4, 4, 4, 1, 2, 4, 4, 1, 0, 3, 1, 3, 2, 0, 4, 1, 3, 2, 3, 3, 4, 2, 1, 4, 3, 2, 0, 3, 0, 1, 4, 4, 0, 3, 0, 3, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 3, 2, 4, 3, 0, 0, 0, 3, 1, 1, 0, 3, 4, 3, 2, 4, 2, 3, 4, 4, 3, 0, 4, 2, 0, 0, 1, 0, 0, 3, 3, 3, 1, 4, 4, 4, 3, 1, 1, 3, 0, 0, 1, 4, 4, 0, 3, 2, 1, 1, 0, 0, 4, 3, 4, 3, 4, 3, 4, 3, 2, 4, 2, 4, 2, 3, 4, 3, 2, 0, 1, 4, 3, 3, 4, 2, 4, 0, 0, 4, 0, 2, 1, 2, 1, 2, 2, 3, 0, 1, 3, 4, 4, 3, 4, 4, 4, 0, 2, 4, 4, 1, 1]
pubkeycol605 = [0, 0, 1, 1, 3, 3, 4, 3, 2, 4, 3, 2, 2, 2, 4, 0, 1, 4, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 0, 0, 4, 2, 2, 3, 1, 2, 1, 0, 1, 1, 2, 2, 0, 4, 1, 1, 0, 2, 1, 3, 0, 1, 1, 3, 1, 2, 1, 4, 4, 0, 2, 4, 3, 1, 2, 1, 0, 4, 0, 4, 4, 4, 2, 4, 2, 1, 3, 2, 1, 3, 1, 3, 2, 4, 2, 1, 1, 3, 2, 4, 4, 3, 1, 3, 1, 3, 3, 0, 3, 4, 3, 2, 0, 2, 4, 4, 3, 1, 4, 3, 0, 2, 0, 0, 1, 4, 1, 0, 1, 4, 3, 4, 2, 4, 1, 0, 0, 2, 0, 4, 1, 2, 3, 0, 4, 1, 1, 0, 4, 4, 3, 2, 0, 3, 0, 2, 4, 1, 3, 4, 3, 3, 2, 0, 2, 2, 0, 4, 3, 3, 4, 4, 4, 3, 1, 4, 4, 3, 3, 4, 3, 1, 0, 4, 1, 4, 1, 4, 1, 3, 3, 1, 1, 2, 4, 3, 3, 0, 4, 2, 2, 2, 0, 3, 1, 2, 2, 4, 4, 3, 3, 3, 2, 3, 2, 4, 0, 1, 4, 3, 3, 1, 4, 4, 3, 2, 4, 2, 1, 0, 0, 2, 3, 3, 4, 4, 0, 1, 4, 0, 3, 1, 0, 0, 4, 3, 1, 0, 3, 0, 0, 0, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 0, 1, 3, 3, 1, 0, 4, 1, 4, 1, 3, 0, 1, 2, 2, 2, 0, 2, 4, 4, 1, 0, 1, 4, 0, 0, 0, 0, 3, 4, 1, 0, 4, 2, 2, 2, 1, 4, 1, 1, 2, 1, 4, 3, 3, 3, 4, 4, 0, 0, 4, 1, 1, 1, 0, 3, 3, 3, 0, 0, 2, 0, 3, 1, 4, 0]
pubkeycol606 = [1, 2, 0, 1, 4, 2, 3, 0, 1, 4, 0, 1, 0, 0, 3, 2, 2, 1, 2, 4, 0, 2, 3, 4, 0, 1, 4, 4, 1, 1, 2, 4, 0, 3, 4, 1, 2, 3, 3, 3, 1, 2, 0, 2, 4, 0, 0, 2, 3, 2, 2, 4, 4, 2, 2, 1, 2, 2, 0, 2, 4, 4, 0, 0, 2, 1, 1, 2, 3, 0, 1, 3, 2, 2, 0, 2, 2, 0, 0, 3, 1, 1, 1, 0, 1, 3, 3, 2, 4, 0, 3, 1, 4, 3, 0, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 1, 4, 2, 3, 0, 1, 0, 0, 0, 3, 4, 0, 2, 2, 0, 2, 0, 1, 3, 0, 2, 3, 1, 2, 0, 0, 4, 0, 1, 2, 1, 3, 0, 4, 3, 3, 0, 1, 1, 3, 3, 2, 1, 0, 3, 2, 0, 0, 1, 4, 4, 0, 3, 2, 2, 1, 3, 3, 1, 1, 2, 3, 0, 1, 4, 3, 2, 2, 3, 0, 0, 2, 2, 0, 4, 1, 2, 0, 1, 2, 1, 3, 3, 3, 4, 4, 1, 3, 1, 1, 4, 3, 4, 0, 0, 3, 1, 2, 4, 4, 4, 0, 2, 3, 3, 4, 3, 2, 4, 2, 2, 2, 1, 0, 1, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 1, 2, 3, 0, 2, 1, 0, 2, 2, 1, 4, 0, 4, 1, 3, 3, 2, 4, 0, 2, 0, 1, 0, 4, 0, 3, 0, 1, 4, 3, 4, 3, 2, 1, 4, 1, 0, 4, 0, 2, 1, 0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 4, 0, 2, 4, 2, 0, 0, 0, 1, 2, 4, 1, 4, 4, 0, 1, 4, 3, 2, 2, 2, 3, 0, 3, 4, 0, 0, 0, 2, 3, 2, 2]
pubkeycol607 = [3, 0, 4, 2, 2, 3, 0, 4, 0, 2, 4, 4, 1, 0, 0, 4, 1, 1, 4, 3, 3, 1, 3, 1, 4, 4, 4, 1, 3, 0, 4, 0, 0, 3, 4, 4, 1, 4, 1, 4, 3, 3, 4, 2, 2, 0, 0, 4, 0, 4, 4, 1, 3, 0, 2, 1, 3, 1, 3, 3, 3, 3, 0, 0, 4, 4, 4, 3, 3, 2, 0, 1, 0, 0, 2, 3, 3, 1, 4, 0, 3, 1, 0, 3, 3, 1, 0, 4, 0, 4, 0, 3, 1, 4, 2, 0, 2, 2, 4, 2, 0, 4, 3, 2, 1, 3, 2, 0, 1, 4, 2, 0, 3, 2, 1, 4, 0, 3, 0, 0, 2, 3, 4, 2, 0, 3, 4, 2, 0, 3, 2, 1, 4, 2, 3, 2, 1, 3, 3, 3, 3, 0, 0, 2, 4, 0, 0, 3, 3, 0, 1, 0, 3, 1, 1, 2, 4, 4, 3, 0, 3, 1, 2, 4, 2, 4, 1, 1, 0, 3, 1, 0, 1, 3, 4, 1, 1, 2, 4, 1, 2, 2, 4, 4, 4, 0, 0, 3, 4, 1, 1, 4, 1, 0, 3, 2, 1, 4, 1, 3, 3, 0, 2, 0, 4, 0, 4, 0, 2, 3, 1, 2, 1, 1, 3, 3, 3, 1, 3, 0, 0, 0, 3, 1, 2, 3, 4, 3, 0, 0, 2, 0, 4, 3, 3, 3, 4, 2, 4, 0, 1, 4, 3, 2, 0, 4, 0, 4, 1, 3, 0, 2, 3, 2, 0, 3, 3, 2, 3, 1, 0, 2, 2, 0, 3, 1, 4, 1, 4, 2, 3, 0, 1, 0, 0, 4, 1, 2, 1, 2, 2, 2, 1, 2, 2, 4, 0, 4, 0, 1, 2, 3, 1, 0, 3, 3, 3, 4, 2, 4, 0, 0, 1, 4, 0, 4, 4, 3, 4, 3, 2, 1, 1, 1, 4, 2, 3, 2, 4, 4]
pubkeycol608 = [2, 1, 4, 2, 2, 1, 4, 2, 3, 3, 2, 4, 3, 3, 2, 2, 0, 3, 2, 0, 2, 1, 0, 3, 3, 1, 2, 4, 3, 4, 2, 2, 3, 1, 1, 4, 0, 2, 0, 4, 0, 1, 4, 1, 2, 4, 4, 3, 0, 4, 3, 1, 1, 3, 0, 0, 1, 3, 4, 0, 0, 2, 0, 4, 1, 0, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 3, 1, 4, 0, 0, 0, 4, 3, 2, 4, 3, 4, 1, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 2, 3, 4, 3, 4, 2, 0, 4, 1, 3, 3, 4, 2, 1, 3, 1, 3, 1, 4, 0, 3, 2, 0, 1, 3, 4, 1, 1, 0, 4, 1, 4, 4, 4, 3, 0, 2, 4, 3, 0, 3, 1, 4, 0, 1, 3, 2, 4, 0, 3, 3, 2, 0, 4, 3, 4, 2, 1, 2, 0, 3, 2, 4, 2, 0, 4, 1, 2, 0, 1, 0, 3, 2, 4, 4, 1, 4, 1, 4, 4, 4, 2, 3, 0, 0, 0, 1, 4, 2, 4, 3, 3, 4, 4, 1, 2, 1, 1, 4, 1, 2, 4, 1, 1, 2, 2, 3, 4, 3, 2, 0, 4, 4, 1, 0, 2, 1, 3, 1, 1, 2, 4, 4, 2, 3, 1, 3, 3, 1, 0, 0, 4, 3, 0, 4, 3, 3, 0, 1, 3, 0, 3, 3, 1, 2, 2, 4, 4, 0, 3, 0, 4, 2, 1, 0, 4, 3, 3, 2, 1, 2, 1, 3, 3, 2, 2, 3, 0, 4, 4, 3, 2, 2, 0, 2, 4, 3, 1, 3, 2, 4, 3, 0, 2, 4, 0, 3, 3, 0, 4, 1, 4, 3, 3, 1, 2, 1, 1, 1, 4, 1, 3, 1, 4, 3, 4, 0, 1, 0, 4, 0, 3, 1, 3, 2, 4, 1, 0, 0, 1, 4]
pubkeycol609 = [4, 4, 2, 0, 3, 0, 2, 4, 4, 2, 4, 2, 4, 1, 2, 1, 2, 2, 1, 2, 0, 1, 4, 1, 0, 3, 4, 1, 1, 0, 3, 0, 2, 1, 3, 4, 2, 2, 3, 4, 0, 0, 1, 3, 1, 1, 1, 0, 3, 3, 3, 2, 3, 3, 4, 3, 3, 4, 0, 4, 0, 1, 4, 4, 4, 4, 0, 2, 3, 3, 3, 1, 1, 4, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 2, 0, 0, 4, 4, 2, 4, 0, 3, 0, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 0, 4, 0, 0, 1, 4, 0, 2, 3, 2, 1, 1, 0, 2, 3, 2, 4, 2, 3, 3, 1, 2, 2, 1, 0, 4, 0, 4, 2, 4, 1, 2, 4, 3, 0, 1, 4, 2, 3, 1, 3, 4, 3, 1, 0, 2, 4, 1, 3, 1, 0, 3, 2, 0, 2, 3, 1, 3, 0, 1, 1, 0, 3, 2, 3, 4, 2, 3, 0, 1, 3, 4, 4, 0, 1, 0, 4, 0, 0, 2, 1, 3, 2, 1, 2, 4, 2, 1, 1, 3, 1, 4, 4, 4, 0, 1, 4, 3, 3, 1, 0, 0, 3, 1, 0, 3, 4, 3, 4, 4, 1, 4, 4, 3, 0, 4, 0, 3, 4, 4, 3, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 3, 3, 2, 0, 4, 0, 3, 1, 1, 0, 0, 0, 0, 4, 0, 1, 0, 4, 1, 1, 4, 0, 4, 3, 1, 0, 3, 4, 1, 1, 0, 1, 4, 0, 0, 3, 1, 2, 3, 1, 0, 3, 1, 0, 0, 4, 0, 2, 1, 2, 1, 0, 1, 3, 2, 2, 2, 4, 0, 1, 0, 3, 1, 1, 1, 3, 0, 4, 4, 3, 4, 1, 2, 2, 1, 2, 4, 2, 1, 4, 4, 1, 3, 0]
pubkeycol610 = [3, 2, 1, 3, 4, 4, 4, 1, 4, 0, 2, 3, 4, 4, 0, 0, 0, 1, 1, 3, 2, 4, 3, 4, 0, 1, 4, 3, 1, 3, 3, 2, 4, 2, 2, 4, 1, 0, 4, 0, 2, 1, 0, 4, 2, 3, 4, 0, 2, 3, 4, 3, 4, 0, 2, 4, 1, 3, 3, 0, 2, 1, 3, 1, 4, 3, 2, 4, 3, 0, 0, 3, 3, 0, 0, 2, 3, 4, 4, 4, 3, 4, 0, 0, 3, 1, 4, 1, 4, 3, 2, 3, 0, 1, 2, 1, 3, 3, 2, 0, 1, 1, 3, 4, 3, 4, 1, 2, 4, 0, 1, 1, 4, 0, 3, 4, 0, 4, 2, 2, 3, 2, 1, 4, 4, 4, 2, 0, 1, 4, 3, 1, 2, 3, 0, 4, 2, 0, 3, 2, 0, 4, 1, 4, 3, 3, 0, 0, 2, 1, 2, 1, 1, 0, 3, 1, 1, 4, 3, 3, 1, 4, 4, 1, 0, 4, 0, 3, 1, 3, 3, 0, 2, 3, 4, 3, 3, 1, 2, 2, 0, 1, 2, 1, 4, 1, 2, 4, 0, 0, 2, 0, 3, 3, 1, 4, 3, 1, 4, 4, 3, 1, 1, 4, 3, 2, 0, 4, 4, 3, 1, 2, 4, 1, 2, 1, 0, 2, 1, 4, 2, 1, 2, 1, 0, 2, 2, 4, 4, 0, 3, 1, 4, 4, 1, 3, 3, 4, 3, 1, 2, 3, 0, 2, 1, 2, 1, 3, 3, 4, 0, 4, 4, 0, 4, 3, 2, 1, 2, 4, 4, 4, 3, 2, 2, 3, 3, 2, 1, 0, 1, 4, 4, 2, 2, 4, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 4, 4, 4, 3, 1, 4, 4, 3, 0, 4, 2, 2, 1, 2, 4, 3, 2, 4, 0, 4, 3, 1, 1]
pubkeycol611 = [1, 3, 4, 4, 0, 3, 4, 1, 2, 4, 3, 0, 4, 2, 0, 4, 1, 3, 2, 4, 0, 2, 3, 0, 0, 2, 3, 4, 4, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 4, 2, 3, 1, 4, 4, 2, 1, 2, 1, 2, 0, 3, 2, 4, 3, 4, 3, 2, 1, 2, 1, 3, 1, 1, 1, 1, 4, 3, 3, 4, 2, 1, 1, 2, 1, 0, 2, 3, 0, 3, 1, 3, 4, 1, 0, 4, 2, 4, 4, 0, 4, 1, 4, 2, 2, 0, 0, 4, 2, 1, 4, 0, 2, 3, 1, 4, 3, 2, 1, 0, 4, 4, 1, 1, 4, 2, 4, 0, 4, 3, 4, 1, 0, 1, 3, 4, 0, 3, 2, 4, 4, 0, 2, 3, 4, 4, 1, 2, 1, 2, 1, 0, 0, 2, 3, 3, 2, 3, 2, 0, 2, 1, 4, 2, 0, 4, 0, 3, 4, 4, 0, 0, 1, 4, 3, 3, 0, 2, 0, 4, 0, 2, 1, 4, 3, 4, 4, 2, 1, 3, 1, 2, 0, 0, 0, 1, 2, 0, 4, 1, 4, 4, 1, 1, 4, 1, 1, 2, 3, 2, 3, 0, 1, 2, 1, 2, 1, 0, 1, 4, 4, 4, 1, 1, 1, 3, 0, 0, 3, 2, 2, 3, 4, 4, 4, 4, 1, 3, 3, 3, 3, 0, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 4, 2, 3, 1, 2, 1, 0, 4, 1, 4, 0, 4, 1, 2, 4, 0, 1, 1, 0, 4, 2, 1, 3, 0, 2, 2, 1, 3, 4, 3, 3, 3, 3, 4, 0, 2, 2, 4, 4, 1, 3, 4, 1, 2, 2, 2, 1, 0, 0, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 3, 0, 1, 3, 4, 2, 1, 4, 3, 1, 3, 1, 1, 2]
pubkeycol612 = [4, 1, 4, 1, 3, 2, 1, 3, 3, 0, 0, 2, 0, 2, 4, 3, 2, 3, 2, 2, 0, 3, 1, 1, 3, 0, 4, 4, 2, 0, 4, 3, 2, 1, 2, 0, 4, 4, 1, 3, 0, 0, 2, 4, 4, 3, 1, 0, 2, 0, 1, 3, 3, 2, 1, 2, 4, 0, 3, 2, 4, 3, 4, 2, 0, 3, 0, 2, 2, 4, 3, 4, 0, 2, 3, 2, 0, 4, 1, 4, 3, 0, 0, 1, 4, 3, 4, 3, 2, 0, 4, 4, 3, 1, 0, 2, 0, 2, 4, 1, 0, 1, 4, 4, 3, 1, 1, 0, 0, 1, 2, 0, 3, 0, 1, 1, 0, 1, 4, 4, 4, 2, 4, 0, 2, 4, 0, 1, 4, 3, 3, 1, 1, 1, 1, 1, 4, 2, 4, 0, 2, 2, 1, 0, 4, 2, 0, 3, 2, 1, 0, 2, 0, 3, 0, 2, 3, 3, 4, 4, 1, 2, 2, 4, 1, 3, 0, 3, 0, 0, 1, 1, 3, 1, 3, 3, 3, 1, 2, 3, 3, 1, 1, 2, 4, 1, 1, 1, 3, 4, 0, 3, 2, 1, 1, 2, 1, 4, 0, 2, 4, 0, 2, 2, 1, 0, 2, 2, 2, 2, 4, 1, 1, 3, 3, 1, 0, 1, 1, 0, 4, 1, 4, 4, 2, 0, 0, 1, 0, 2, 4, 1, 0, 0, 3, 3, 0, 2, 2, 0, 4, 0, 3, 4, 0, 4, 4, 4, 2, 0, 4, 1, 0, 0, 3, 0, 3, 3, 4, 2, 1, 1, 1, 1, 0, 1, 1, 4, 0, 3, 4, 0, 0, 2, 3, 4, 3, 1, 2, 1, 4, 2, 0, 4, 1, 0, 0, 2, 2, 0, 1, 1, 4, 3, 3, 3, 4, 3, 4, 3, 3, 3, 3, 2, 0, 0, 4, 4, 3, 3, 1, 1, 3, 0, 1, 1, 0, 4, 1, 0]
pubkeycol613 = [2, 0, 0, 4, 1, 4, 1, 3, 4, 2, 2, 0, 1, 1, 3, 1, 3, 0, 2, 3, 1, 4, 3, 4, 0, 1, 2, 1, 0, 3, 2, 4, 0, 4, 2, 3, 0, 3, 1, 1, 1, 3, 3, 3, 1, 4, 0, 0, 3, 1, 4, 2, 2, 0, 3, 2, 0, 1, 3, 3, 2, 4, 3, 2, 2, 3, 3, 1, 0, 3, 3, 2, 2, 0, 4, 0, 1, 1, 0, 2, 2, 3, 0, 1, 3, 1, 0, 2, 2, 2, 2, 2, 0, 3, 0, 4, 4, 0, 3, 2, 3, 0, 3, 4, 2, 3, 1, 4, 3, 1, 4, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 3, 0, 4, 3, 0, 0, 1, 4, 2, 2, 2, 0, 2, 2, 4, 3, 2, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 3, 2, 4, 3, 3, 4, 2, 4, 3, 2, 3, 0, 0, 0, 1, 1, 4, 0, 4, 2, 4, 0, 4, 4, 2, 1, 1, 0, 3, 2, 1, 1, 2, 3, 4, 3, 1, 0, 3, 0, 0, 2, 1, 1, 1, 1, 4, 1, 1, 2, 4, 3, 3, 4, 3, 0, 2, 1, 4, 3, 2, 4, 1, 0, 1, 1, 1, 4, 4, 4, 3, 0, 3, 1, 3, 2, 3, 1, 3, 4, 4, 3, 1, 4, 0, 1, 2, 0, 1, 4, 4, 0, 4, 1, 0, 4, 3, 4, 4, 2, 4, 3, 0, 1, 3, 2, 1, 2, 0, 3, 4, 4, 1, 4, 4, 4, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 0, 1, 0, 2, 4, 4, 2, 2, 1, 3, 0, 0, 4, 3, 1, 3, 0, 4, 2, 2, 1, 1, 3, 2, 1, 1, 3, 4, 1, 1, 2, 3, 1, 3, 2, 4, 3, 3, 0, 3, 1, 3, 3, 2]
pubkeycol614 = [1, 3, 0, 2, 1, 1, 1, 1, 4, 0, 0, 1, 0, 2, 2, 3, 2, 1, 2, 4, 4, 3, 0, 1, 3, 3, 4, 3, 4, 4, 2, 1, 0, 2, 3, 2, 1, 2, 2, 3, 2, 4, 3, 0, 0, 3, 4, 3, 3, 3, 4, 0, 4, 4, 2, 4, 2, 3, 3, 4, 1, 1, 3, 2, 0, 4, 1, 4, 1, 2, 2, 0, 0, 3, 4, 1, 2, 0, 1, 3, 1, 0, 1, 2, 0, 1, 0, 4, 0, 0, 0, 2, 0, 4, 3, 4, 0, 0, 4, 2, 0, 3, 2, 1, 1, 0, 0, 1, 1, 2, 4, 3, 3, 4, 1, 0, 0, 0, 1, 3, 2, 0, 0, 0, 4, 2, 1, 1, 0, 3, 2, 2, 4, 4, 4, 0, 0, 4, 4, 0, 1, 2, 2, 4, 3, 3, 1, 4, 4, 2, 3, 1, 4, 2, 0, 2, 4, 0, 3, 0, 1, 0, 3, 3, 2, 3, 2, 2, 3, 2, 2, 4, 2, 3, 0, 4, 3, 2, 3, 2, 1, 3, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 1, 1, 1, 3, 4, 0, 3, 1, 0, 0, 0, 0, 1, 3, 2, 0, 0, 1, 3, 3, 2, 3, 0, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 3, 3, 1, 1, 4, 0, 3, 4, 4, 1, 2, 3, 4, 3, 0, 3, 2, 3, 2, 3, 1, 1, 0, 1, 2, 0, 1, 1, 1, 3, 4, 3, 0, 2, 1, 1, 3, 2, 2, 2, 4, 4, 3, 3, 3, 1, 2, 0, 4, 4, 2, 3, 0, 0, 0, 4, 3, 1, 4, 2, 1, 0, 2, 2, 4, 1, 2, 0, 2, 1, 1, 1, 0, 4, 4, 1, 4, 0, 4, 1, 4, 3, 2, 1, 4, 0, 1, 1, 1, 1, 2, 0, 0, 2, 4]
pubkeycol615 = [0, 2, 3, 0, 2, 0, 1, 3, 1, 2, 0, 0, 2, 4, 2, 3, 1, 4, 2, 2, 3, 0, 2, 3, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 4, 2, 3, 2, 1, 3, 0, 0, 0, 1, 4, 2, 3, 4, 0, 3, 0, 0, 4, 3, 1, 3, 4, 2, 4, 3, 2, 4, 1, 2, 4, 2, 4, 4, 4, 1, 0, 3, 3, 3, 2, 0, 0, 3, 1, 2, 2, 4, 1, 2, 1, 1, 2, 4, 3, 3, 4, 2, 2, 1, 3, 0, 3, 3, 2, 0, 0, 3, 0, 0, 3, 4, 4, 1, 4, 1, 4, 3, 3, 1, 2, 3, 0, 2, 1, 0, 0, 0, 0, 1, 3, 2, 2, 4, 3, 0, 3, 2, 3, 0, 1, 2, 1, 2, 1, 3, 4, 1, 4, 0, 1, 3, 1, 0, 2, 3, 3, 0, 4, 2, 1, 1, 1, 0, 4, 4, 3, 0, 2, 0, 1, 3, 2, 3, 2, 2, 3, 0, 0, 1, 0, 0, 0, 4, 4, 2, 1, 1, 0, 3, 3, 2, 4, 4, 3, 0, 2, 0, 3, 3, 4, 4, 0, 1, 2, 0, 2, 0, 1, 1, 4, 4, 0, 2, 3, 3, 3, 3, 3, 4, 2, 2, 0, 4, 3, 3, 0, 0, 1, 0, 4, 1, 1, 2, 1, 2, 4, 3, 3, 4, 3, 2, 3, 2, 0, 4, 2, 3, 0, 0, 2, 3, 2, 0, 2, 0, 3, 4, 0, 0, 2, 2, 4, 1, 4, 1, 0, 3, 0, 3, 0, 3, 2, 4, 4, 0, 2, 1, 0, 4, 0, 0, 0, 3, 2, 3, 3, 3, 0, 4, 3, 4, 2, 2, 1, 2, 4, 3, 4, 1, 1, 1, 4, 0, 3, 4, 0, 0, 3, 4, 2, 3, 1, 4, 4, 1, 3, 2, 0, 0, 2, 2, 2, 0, 2]
pubkeycol616 = [4, 0, 1, 0, 3, 0, 4, 0, 2, 0, 3, 0, 0, 0, 3, 0, 3, 4, 1, 4, 0, 1, 0, 4, 2, 3, 4, 1, 1, 4, 3, 4, 1, 2, 4, 2, 4, 2, 0, 2, 1, 4, 1, 4, 3, 1, 0, 0, 4, 0, 0, 1, 2, 2, 2, 0, 0, 0, 4, 2, 1, 0, 2, 4, 2, 2, 0, 2, 1, 0, 2, 4, 4, 0, 2, 1, 1, 0, 3, 3, 0, 2, 1, 0, 4, 4, 4, 4, 4, 2, 0, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 4, 1, 2, 4, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 4, 1, 0, 3, 0, 3, 0, 3, 2, 4, 2, 2, 3, 4, 0, 4, 2, 3, 4, 0, 4, 0, 4, 4, 4, 2, 3, 1, 3, 2, 4, 1, 1, 3, 4, 3, 2, 0, 4, 0, 0, 4, 0, 3, 4, 4, 1, 4, 1, 0, 0, 1, 2, 2, 1, 0, 4, 4, 1, 0, 0, 2, 0, 3, 4, 4, 2, 0, 2, 1, 1, 4, 0, 3, 3, 1, 2, 2, 0, 3, 0, 3, 1, 1, 4, 2, 4, 0, 2, 4, 0, 4, 2, 0, 3, 2, 4, 0, 2, 1, 3, 0, 1, 0, 1, 2, 3, 3, 2, 2, 4, 2, 3, 1, 1, 0, 0, 3, 0, 1, 2, 3, 1, 0, 4, 4, 1, 3, 1, 4, 0, 4, 1, 4, 1, 0, 2, 1, 2, 3, 1, 4, 4, 3, 4, 1, 1, 1, 3, 1, 3, 3, 0, 0, 4, 2, 2, 3, 4, 3, 4, 3, 0, 3, 4, 3, 4, 3, 1, 3, 1, 2, 1, 1, 0, 4, 2, 1, 4, 3, 2, 3, 2, 1, 2, 4, 4, 4, 1, 4, 2, 2, 2, 0, 0, 2, 1]
pubkeycol617 = [2, 2, 4, 3, 2, 4, 0, 4, 0, 4, 1, 0, 0, 4, 2, 4, 1, 0, 4, 2, 3, 0, 2, 4, 0, 0, 4, 4, 0, 4, 3, 0, 3, 3, 3, 2, 0, 3, 4, 1, 2, 2, 4, 4, 2, 0, 1, 1, 2, 2, 4, 1, 2, 4, 0, 0, 0, 4, 0, 2, 3, 1, 0, 4, 3, 1, 3, 0, 4, 4, 3, 3, 3, 2, 2, 1, 2, 0, 0, 1, 4, 0, 4, 1, 2, 0, 1, 4, 2, 1, 0, 0, 4, 3, 3, 0, 3, 3, 1, 3, 2, 2, 3, 1, 1, 0, 0, 1, 4, 2, 3, 4, 1, 1, 4, 2, 3, 1, 4, 2, 0, 2, 0, 0, 2, 4, 0, 0, 4, 1, 0, 0, 4, 1, 4, 2, 4, 4, 1, 3, 2, 2, 1, 2, 2, 3, 3, 1, 4, 3, 1, 3, 0, 1, 4, 3, 0, 2, 1, 4, 3, 0, 3, 1, 3, 1, 4, 4, 3, 4, 2, 4, 1, 3, 3, 1, 4, 3, 2, 4, 0, 4, 1, 2, 2, 3, 4, 4, 2, 1, 0, 4, 2, 4, 1, 0, 2, 3, 2, 2, 1, 0, 2, 4, 4, 4, 4, 4, 4, 4, 3, 0, 3, 3, 4, 0, 4, 4, 3, 1, 4, 0, 3, 0, 2, 0, 3, 2, 3, 1, 2, 4, 3, 0, 1, 3, 1, 4, 4, 2, 3, 1, 3, 2, 2, 4, 0, 1, 2, 1, 2, 0, 4, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 3, 3, 4, 0, 2, 1, 4, 0, 4, 1, 1, 3, 0, 2, 0, 1, 4, 3, 3, 2, 2, 2, 0, 1, 4, 3, 0, 1, 3, 4, 0, 2, 4, 1, 3, 4, 0, 2, 0, 4, 3, 0, 4, 4, 2, 2, 1, 1, 1, 4, 1, 4, 3, 2, 2, 4, 3]
pubkeycol618 = [2, 4, 0, 4, 4, 3, 4, 0, 4, 4, 4, 0, 0, 1, 4, 2, 3, 1, 3, 0, 2, 1, 4, 4, 0, 3, 4, 4, 2, 3, 0, 1, 3, 4, 0, 1, 3, 3, 0, 3, 2, 0, 2, 2, 4, 0, 2, 4, 0, 2, 3, 1, 2, 0, 2, 4, 2, 0, 3, 1, 3, 0, 4, 4, 1, 3, 4, 1, 2, 1, 3, 4, 2, 2, 4, 2, 0, 4, 1, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 3, 2, 4, 0, 2, 2, 3, 1, 0, 1, 4, 3, 1, 4, 1, 3, 2, 4, 4, 2, 2, 3, 0, 2, 2, 3, 3, 3, 0, 1, 2, 3, 1, 3, 0, 4, 3, 3, 3, 0, 1, 2, 4, 2, 3, 1, 0, 4, 0, 4, 4, 2, 3, 2, 1, 0, 2, 1, 1, 1, 3, 0, 2, 4, 4, 3, 0, 4, 1, 3, 2, 3, 4, 0, 0, 1, 3, 3, 3, 2, 1, 1, 3, 2, 0, 4, 2, 1, 4, 0, 4, 3, 3, 4, 0, 0, 3, 0, 4, 2, 2, 3, 3, 0, 4, 1, 0, 2, 3, 4, 3, 3, 2, 1, 1, 4, 0, 3, 2, 1, 0, 4, 2, 4, 3, 1, 2, 0, 0, 4, 3, 3, 3, 4, 1, 0, 3, 3, 3, 2, 2, 1, 0, 0, 3, 1, 2, 2, 2, 4, 1, 0, 2, 0, 1, 3, 4, 2, 3, 2, 1, 4, 2, 0, 0, 2, 4, 1, 0, 3, 0, 0, 4, 0, 4, 2, 0, 1, 1, 3, 3, 4, 0, 2, 4, 0, 0, 0, 1, 2, 2, 4, 3, 1, 1, 2, 2, 1, 3, 4, 0, 0, 2, 3, 4, 2, 0, 2, 4, 0, 1, 1, 0, 1, 0, 1, 2, 4, 1, 0, 4, 4, 4, 2, 3, 4, 0, 0, 1, 0, 0]
pubkeycol619 = [0, 2, 2, 1, 0, 0, 1, 4, 1, 4, 2, 4, 0, 4, 4, 2, 2, 0, 4, 2, 4, 3, 3, 1, 3, 3, 0, 1, 4, 1, 2, 3, 1, 4, 0, 1, 4, 2, 4, 1, 1, 4, 4, 3, 4, 1, 4, 1, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 2, 3, 3, 3, 3, 2, 1, 3, 4, 2, 0, 4, 1, 1, 1, 3, 0, 0, 0, 3, 0, 3, 4, 2, 3, 4, 1, 3, 0, 0, 0, 2, 3, 3, 1, 2, 2, 3, 3, 4, 0, 4, 0, 2, 1, 1, 3, 3, 2, 4, 2, 4, 2, 3, 2, 2, 0, 3, 3, 4, 2, 1, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 2, 1, 1, 0, 2, 1, 0, 4, 0, 4, 1, 4, 3, 3, 4, 2, 2, 2, 4, 1, 4, 3, 3, 1, 4, 2, 3, 4, 1, 3, 4, 4, 0, 0, 2, 3, 4, 0, 1, 0, 1, 1, 3, 1, 4, 0, 4, 4, 1, 3, 1, 2, 1, 0, 2, 1, 4, 1, 0, 3, 0, 1, 2, 3, 1, 1, 2, 3, 1, 3, 4, 0, 2, 3, 2, 0, 2, 1, 0, 4, 4, 0, 1, 1, 3, 3, 1, 0, 0, 1, 0, 2, 0, 1, 1, 3, 4, 4, 1, 2, 2, 2, 0, 3, 1, 2, 1, 1, 0, 4, 0, 1, 4, 3, 1, 3, 2, 1, 1, 2, 3, 0, 2, 3, 0, 4, 0, 0, 0, 2, 3, 0, 3, 1, 1, 3, 1, 3, 0, 1, 0, 1, 3, 0, 0, 1, 4, 0, 3, 1, 0, 0, 4, 0, 2, 4, 3, 3, 0, 2, 2, 3, 1, 3, 3, 0, 2, 2, 0, 1, 0, 3, 1, 1, 1, 3, 1, 4, 2, 2, 1, 3, 1, 1]
pubkeycol620 = [4, 3, 1, 0, 1, 2, 3, 1, 2, 4, 1, 1, 0, 2, 0, 4, 3, 3, 3, 1, 4, 3, 0, 4, 0, 3, 3, 1, 4, 1, 4, 2, 0, 2, 2, 3, 3, 0, 0, 4, 1, 2, 3, 1, 3, 3, 3, 3, 1, 4, 2, 0, 3, 0, 1, 3, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 4, 0, 0, 2, 4, 0, 4, 0, 0, 3, 2, 2, 4, 3, 1, 4, 4, 2, 4, 4, 0, 3, 3, 4, 4, 2, 2, 4, 4, 0, 1, 0, 0, 3, 4, 3, 4, 0, 2, 1, 2, 0, 0, 2, 3, 2, 4, 1, 1, 3, 0, 2, 2, 0, 4, 0, 3, 2, 4, 2, 0, 1, 1, 1, 1, 4, 3, 1, 4, 3, 1, 3, 0, 0, 4, 3, 3, 2, 0, 3, 4, 1, 3, 0, 3, 1, 3, 4, 4, 4, 1, 4, 3, 1, 1, 2, 2, 3, 4, 3, 1, 1, 0, 4, 4, 3, 2, 3, 4, 3, 1, 0, 3, 2, 0, 3, 3, 0, 0, 1, 2, 2, 2, 0, 3, 0, 4, 1, 4, 0, 3, 2, 1, 4, 0, 0, 0, 1, 0, 3, 1, 3, 1, 4, 4, 4, 4, 2, 3, 4, 1, 2, 0, 2, 1, 2, 4, 0, 4, 3, 3, 3, 0, 3, 1, 0, 0, 3, 1, 2, 2, 2, 3, 2, 3, 0, 1, 2, 4, 1, 2, 4, 2, 3, 2, 2, 0, 2, 4, 3, 3, 2, 3, 4, 2, 0, 1, 3, 3, 1, 4, 3, 0, 3, 0, 2, 3, 4, 1, 4, 1, 3, 2, 3, 4, 1, 2, 2, 3, 2, 2, 3, 3, 3, 0, 3, 4, 2, 2, 3, 2, 1, 1, 3, 1, 3, 4, 3, 3, 2, 4, 4, 4, 4, 0, 2, 4, 0, 1, 3, 0, 3, 0, 2]
pubkeycol621 = [4, 2, 4, 1, 3, 3, 3, 4, 1, 2, 2, 2, 0, 2, 2, 3, 3, 4, 2, 0, 1, 0, 2, 1, 4, 2, 0, 2, 1, 0, 4, 2, 0, 1, 4, 2, 2, 1, 0, 4, 0, 2, 3, 2, 2, 2, 3, 1, 2, 3, 0, 4, 0, 3, 3, 0, 4, 0, 4, 4, 2, 2, 4, 1, 2, 4, 4, 4, 4, 1, 4, 2, 1, 1, 1, 3, 1, 0, 0, 1, 0, 0, 2, 3, 4, 3, 2, 0, 2, 2, 1, 4, 1, 3, 3, 0, 4, 2, 3, 2, 4, 3, 3, 4, 4, 4, 1, 2, 2, 3, 3, 1, 1, 3, 3, 4, 2, 3, 0, 2, 1, 4, 3, 4, 0, 4, 3, 1, 3, 0, 3, 2, 1, 0, 1, 4, 0, 3, 0, 2, 1, 3, 4, 3, 1, 3, 4, 3, 1, 2, 4, 1, 4, 3, 4, 3, 3, 1, 0, 0, 1, 4, 2, 2, 0, 4, 4, 2, 2, 4, 2, 0, 0, 1, 3, 4, 2, 1, 3, 2, 2, 1, 3, 4, 3, 1, 3, 1, 2, 1, 3, 0, 0, 2, 1, 0, 3, 1, 3, 1, 3, 0, 4, 0, 0, 4, 1, 0, 4, 4, 3, 2, 3, 2, 3, 0, 1, 2, 0, 4, 3, 0, 0, 2, 1, 4, 0, 1, 3, 2, 4, 0, 1, 0, 0, 1, 1, 4, 0, 1, 1, 1, 2, 3, 2, 0, 1, 1, 2, 3, 1, 0, 2, 4, 1, 2, 4, 4, 1, 1, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 2, 2, 1, 2, 2, 4, 4, 4, 3, 2, 0, 1, 4, 4, 4, 0, 4, 0, 1, 4, 3, 0, 2, 2, 4, 2, 2, 0, 4, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 4, 2, 2, 4, 3]
pubkeycol622 = [1, 2, 4, 3, 1, 3, 4, 3, 0, 0, 4, 1, 1, 3, 2, 3, 3, 0, 3, 2, 2, 0, 3, 1, 0, 4, 3, 1, 1, 0, 2, 1, 4, 2, 2, 3, 1, 0, 1, 3, 2, 2, 3, 2, 2, 3, 3, 3, 0, 1, 2, 2, 1, 1, 4, 2, 0, 4, 4, 2, 0, 0, 0, 3, 3, 4, 0, 0, 4, 0, 4, 4, 1, 4, 2, 0, 1, 4, 2, 3, 3, 3, 4, 0, 3, 4, 4, 3, 0, 0, 3, 1, 0, 3, 1, 4, 1, 0, 0, 4, 1, 1, 0, 4, 2, 2, 4, 0, 1, 4, 1, 3, 0, 3, 0, 4, 4, 2, 2, 3, 0, 4, 4, 2, 4, 2, 1, 0, 3, 0, 2, 1, 0, 2, 1, 0, 0, 4, 0, 0, 4, 3, 4, 2, 3, 4, 2, 3, 2, 0, 1, 0, 1, 1, 3, 4, 3, 2, 2, 4, 4, 3, 2, 2, 1, 0, 2, 3, 4, 0, 1, 4, 3, 2, 3, 2, 2, 4, 3, 1, 1, 2, 3, 2, 0, 2, 2, 2, 2, 0, 4, 3, 4, 2, 2, 4, 2, 0, 3, 4, 4, 4, 3, 0, 1, 2, 1, 3, 4, 3, 1, 2, 3, 3, 4, 4, 4, 0, 4, 0, 2, 1, 4, 1, 2, 3, 2, 1, 0, 4, 0, 3, 2, 3, 3, 2, 4, 4, 2, 1, 2, 2, 0, 3, 0, 0, 2, 1, 2, 3, 3, 2, 2, 1, 3, 1, 0, 1, 0, 2, 3, 1, 3, 1, 3, 4, 0, 1, 3, 0, 4, 3, 3, 0, 3, 1, 0, 3, 3, 2, 0, 4, 1, 0, 4, 1, 0, 1, 0, 1, 0, 0, 4, 2, 1, 1, 1, 1, 2, 1, 4, 1, 0, 0, 4, 2, 2, 4, 0, 0, 2, 2, 1, 0, 4, 4, 2, 2, 4, 4]
pubkeycol623 = [3, 1, 2, 3, 2, 1, 0, 0, 4, 2, 0, 2, 3, 0, 1, 2, 4, 1, 1, 3, 1, 2, 2, 0, 3, 3, 1, 3, 4, 2, 4, 1, 1, 0, 2, 2, 3, 4, 4, 1, 3, 3, 3, 2, 0, 1, 2, 4, 2, 2, 3, 0, 2, 3, 2, 4, 2, 3, 2, 0, 0, 2, 0, 4, 4, 1, 2, 0, 1, 0, 2, 1, 4, 4, 3, 4, 4, 4, 0, 2, 4, 0, 1, 3, 1, 0, 1, 0, 4, 0, 3, 1, 4, 0, 0, 0, 3, 3, 4, 1, 1, 2, 3, 4, 3, 1, 3, 0, 4, 0, 1, 2, 0, 4, 4, 0, 2, 1, 3, 2, 4, 0, 3, 3, 0, 4, 1, 2, 4, 3, 3, 3, 2, 1, 0, 0, 1, 3, 3, 0, 0, 4, 3, 2, 4, 1, 2, 0, 1, 1, 3, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 2, 4, 2, 3, 2, 3, 4, 4, 0, 3, 2, 4, 3, 2, 4, 3, 2, 3, 3, 1, 4, 0, 3, 4, 1, 4, 2, 4, 4, 3, 0, 3, 1, 3, 0, 2, 2, 3, 1, 1, 4, 4, 1, 0, 2, 0, 3, 3, 0, 1, 3, 0, 1, 3, 4, 1, 4, 2, 3, 3, 3, 4, 0, 1, 4, 1, 4, 1, 4, 1, 1, 1, 1, 1, 2, 1, 2, 3, 0, 0, 2, 4, 2, 1, 3, 4, 1, 3, 1, 3, 2, 0, 3, 4, 4, 4, 2, 3, 4, 3, 2, 0, 4, 0, 0, 2, 4, 2, 4, 3, 2, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 0, 2, 1, 4, 0, 3, 0, 4, 3, 2, 3, 4, 3, 4, 0, 3, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1]
pubkeycol624 = [4, 3, 2, 0, 4, 2, 2, 3, 4, 4, 2, 2, 1, 0, 1, 2, 4, 4, 4, 2, 4, 0, 4, 2, 2, 2, 4, 4, 2, 0, 3, 4, 1, 3, 4, 2, 3, 3, 0, 2, 4, 0, 4, 0, 2, 0, 3, 3, 1, 2, 0, 0, 3, 2, 0, 2, 3, 3, 1, 1, 3, 4, 0, 2, 3, 1, 1, 2, 4, 2, 4, 2, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 1, 4, 4, 1, 2, 3, 1, 0, 1, 2, 2, 3, 1, 1, 1, 4, 3, 0, 2, 4, 4, 1, 1, 2, 1, 0, 4, 2, 1, 4, 4, 4, 0, 0, 3, 2, 1, 0, 0, 4, 3, 0, 3, 4, 0, 0, 4, 2, 2, 4, 0, 3, 2, 3, 3, 1, 1, 4, 0, 0, 4, 0, 0, 2, 1, 4, 4, 1, 4, 4, 0, 0, 2, 0, 4, 2, 2, 0, 0, 2, 4, 0, 2, 4, 2, 2, 0, 0, 2, 3, 2, 0, 0, 1, 0, 3, 1, 3, 1, 1, 4, 1, 2, 0, 2, 2, 4, 0, 0, 2, 3, 3, 1, 4, 1, 4, 0, 0, 1, 1, 2, 0, 4, 1, 1, 0, 1, 0, 3, 2, 1, 1, 1, 3, 0, 4, 1, 1, 4, 3, 2, 2, 0, 3, 3, 0, 0, 1, 1, 2, 1, 3, 0, 1, 1, 2, 0, 0, 3, 1, 2, 4, 0, 4, 4, 3, 2, 1, 2, 1, 1, 4, 2, 0, 2, 2, 1, 4, 0, 0, 1, 1, 0, 2, 4, 2, 2, 1, 4, 0, 2, 0, 4, 3, 1, 0, 0, 1, 3, 3, 3, 2, 2, 4, 3, 2, 3, 4, 2, 4, 2, 1, 1, 2, 4, 3, 3, 1, 1, 4, 2, 3, 0, 2, 3, 1, 0, 2, 0, 3, 1, 2, 2, 1, 0, 0, 0, 2]
pubkeycol625 = [3, 3, 3, 3, 1, 4, 1, 4, 4, 4, 1, 3, 2, 3, 0, 4, 1, 2, 2, 2, 1, 3, 2, 1, 4, 4, 3, 2, 3, 2, 0, 3, 2, 2, 4, 4, 0, 4, 3, 2, 2, 0, 2, 1, 3, 1, 4, 3, 1, 3, 4, 4, 3, 1, 4, 4, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 3, 1, 4, 1, 4, 0, 3, 1, 4, 1, 3, 2, 1, 1, 4, 1, 3, 2, 2, 2, 0, 3, 2, 2, 0, 1, 4, 1, 0, 4, 0, 2, 1, 1, 1, 0, 0, 2, 3, 4, 2, 2, 3, 2, 1, 4, 0, 2, 3, 1, 1, 4, 1, 4, 0, 3, 2, 1, 1, 0, 1, 2, 3, 0, 1, 0, 4, 0, 2, 2, 1, 4, 4, 1, 2, 1, 4, 0, 1, 4, 2, 0, 3, 1, 1, 2, 0, 3, 0, 2, 4, 1, 4, 3, 0, 0, 0, 3, 2, 0, 2, 1, 4, 2, 0, 1, 4, 4, 2, 4, 2, 1, 2, 4, 4, 1, 1, 0, 3, 1, 3, 3, 3, 2, 2, 3, 2, 3, 2, 4, 1, 2, 1, 4, 4, 3, 4, 0, 4, 1, 4, 4, 0, 3, 0, 0, 0, 2, 1, 2, 2, 4, 0, 0, 2, 2, 4, 1, 3, 3, 3, 2, 2, 0, 2, 3, 2, 1, 1, 0, 4, 3, 3, 0, 4, 1, 2, 1, 2, 1, 2, 3, 4, 4, 2, 4, 3, 4, 1, 3, 3, 1, 1, 1, 2, 4, 4, 4, 1, 4, 3, 1, 0, 2, 0, 2, 3, 1, 4, 1, 3, 0, 1, 0, 4, 3, 2, 0, 0, 2, 3, 1, 4, 3, 1, 4, 4, 4, 1, 1, 3, 3, 3, 1, 4, 1, 0, 3, 3, 4, 4, 2, 2, 0, 4, 3, 2, 4, 2, 0, 3, 3, 0]
pubkeycol626 = [1, 3, 4, 1, 2, 4, 4, 2, 2, 3, 4, 0, 4, 3, 3, 3, 2, 2, 0, 0, 4, 3, 2, 4, 1, 0, 2, 0, 2, 0, 3, 2, 1, 4, 4, 2, 1, 4, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 3, 2, 3, 3, 0, 3, 3, 2, 0, 4, 1, 4, 3, 3, 0, 3, 2, 0, 0, 4, 4, 3, 1, 0, 0, 3, 1, 3, 2, 4, 3, 2, 4, 1, 4, 3, 0, 3, 4, 0, 1, 4, 3, 0, 2, 2, 2, 2, 0, 3, 0, 4, 4, 1, 1, 1, 2, 1, 3, 1, 2, 2, 3, 3, 1, 3, 1, 3, 1, 3, 0, 4, 3, 2, 3, 0, 3, 1, 1, 0, 4, 4, 1, 4, 4, 3, 3, 0, 1, 0, 0, 1, 0, 3, 0, 3, 4, 4, 3, 1, 3, 4, 4, 1, 4, 3, 0, 4, 2, 2, 0, 0, 1, 4, 0, 4, 1, 2, 3, 4, 4, 4, 4, 2, 4, 0, 0, 2, 2, 0, 2, 4, 3, 0, 1, 2, 4, 2, 4, 2, 0, 2, 1, 4, 4, 4, 3, 0, 2, 2, 0, 2, 3, 2, 2, 0, 2, 2, 1, 3, 0, 0, 3, 4, 1, 3, 0, 0, 3, 4, 4, 2, 1, 4, 2, 2, 1, 2, 1, 1, 4, 3, 2, 0, 1, 0, 4, 3, 2, 3, 3, 3, 4, 2, 0, 3, 4, 1, 2, 4, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 3, 1, 4, 4, 3, 1, 2, 1, 1, 4, 3, 3, 3, 1, 1, 1, 3, 0, 3, 2, 0, 2, 3, 1, 0, 0, 0, 4, 0, 0, 2, 1, 2, 4, 2, 0, 0, 0, 4, 2, 2, 3, 4, 3, 0, 4, 1, 2, 3, 1, 0]
pubkeycol627 = [4, 1, 3, 0, 2, 3, 4, 3, 4, 0, 0, 4, 3, 4, 1, 1, 3, 0, 4, 3, 2, 4, 4, 2, 3, 1, 3, 4, 1, 3, 1, 2, 1, 2, 4, 2, 4, 4, 0, 4, 1, 0, 3, 1, 0, 0, 3, 1, 0, 3, 1, 1, 4, 1, 2, 0, 1, 1, 1, 2, 3, 4, 3, 2, 1, 1, 4, 2, 1, 1, 1, 3, 2, 3, 4, 2, 1, 2, 2, 2, 0, 4, 2, 1, 2, 4, 1, 2, 1, 0, 3, 4, 2, 2, 2, 4, 0, 3, 0, 4, 0, 3, 1, 4, 3, 2, 2, 1, 3, 0, 1, 1, 4, 4, 2, 3, 3, 2, 2, 4, 1, 0, 1, 0, 0, 3, 1, 4, 3, 2, 1, 3, 2, 0, 4, 0, 3, 0, 2, 2, 1, 1, 2, 3, 0, 1, 3, 3, 3, 2, 3, 1, 3, 0, 0, 0, 0, 1, 3, 2, 4, 3, 1, 2, 1, 4, 0, 4, 2, 2, 3, 3, 1, 3, 0, 0, 3, 2, 3, 4, 2, 3, 1, 4, 2, 0, 1, 0, 2, 4, 2, 3, 1, 4, 4, 2, 1, 4, 1, 1, 2, 2, 2, 4, 3, 2, 1, 2, 0, 1, 4, 4, 3, 3, 1, 4, 1, 2, 1, 0, 3, 2, 3, 2, 4, 4, 4, 4, 0, 1, 2, 2, 3, 2, 3, 4, 0, 2, 2, 3, 1, 2, 1, 0, 3, 3, 4, 1, 1, 3, 1, 1, 0, 3, 2, 2, 0, 1, 0, 1, 4, 3, 2, 4, 1, 4, 3, 2, 0, 1, 1, 2, 0, 2, 4, 0, 1, 0, 2, 2, 1, 2, 4, 1, 0, 2, 2, 4, 3, 4, 0, 4, 0, 0, 3, 2, 4, 0, 3, 3, 0, 2, 2, 4, 4, 4, 0, 4, 1, 3, 3, 4, 0, 2, 2, 1, 3, 2, 3, 1]
pubkeycol628 = [4, 2, 1, 3, 2, 1, 0, 1, 4, 0, 0, 0, 3, 3, 2, 0, 4, 1, 2, 3, 0, 4, 2, 3, 2, 4, 4, 1, 0, 3, 4, 1, 3, 1, 0, 0, 4, 0, 0, 1, 4, 3, 3, 3, 0, 2, 2, 2, 2, 4, 1, 4, 4, 0, 4, 3, 4, 0, 3, 3, 1, 2, 2, 2, 1, 2, 4, 2, 1, 0, 4, 2, 4, 3, 4, 1, 3, 4, 0, 0, 0, 2, 0, 1, 3, 1, 4, 4, 4, 1, 3, 0, 0, 4, 4, 1, 2, 3, 3, 4, 3, 2, 0, 3, 4, 0, 1, 4, 0, 2, 1, 0, 0, 3, 4, 2, 0, 2, 3, 3, 0, 4, 0, 1, 4, 0, 3, 4, 2, 4, 4, 1, 0, 2, 1, 2, 3, 1, 4, 2, 1, 3, 2, 4, 0, 2, 3, 4, 2, 1, 4, 4, 3, 0, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 4, 1, 0, 3, 4, 4, 4, 4, 2, 1, 1, 1, 0, 4, 3, 0, 2, 0, 3, 1, 2, 3, 4, 1, 2, 0, 0, 4, 1, 4, 3, 2, 3, 3, 1, 1, 3, 2, 0, 3, 4, 1, 1, 1, 2, 0, 3, 2, 3, 3, 0, 4, 0, 3, 3, 3, 1, 1, 4, 1, 1, 1, 0, 1, 3, 2, 2, 3, 4, 0, 4, 3, 3, 0, 4, 3, 4, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 4, 1, 4, 3, 4, 4, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 3, 3, 4, 4, 2, 0, 4, 1, 4, 2, 2, 1, 2, 3, 3, 1, 0, 0, 1, 0, 2, 1, 0, 3, 0, 3, 4, 0, 3, 1, 4, 4, 2, 1, 0, 4, 3, 1, 2, 4, 4, 4, 2, 3, 3, 3, 1, 1]
pubkeycol629 = [3, 1, 2, 0, 2, 4, 3, 3, 0, 4, 2, 3, 3, 4, 0, 3, 1, 3, 2, 3, 1, 3, 0, 4, 1, 4, 2, 3, 3, 0, 4, 3, 4, 3, 0, 1, 1, 3, 0, 3, 2, 1, 3, 3, 4, 1, 4, 0, 2, 1, 1, 3, 3, 2, 0, 4, 4, 4, 0, 0, 1, 1, 2, 4, 0, 4, 0, 3, 1, 0, 4, 2, 2, 2, 4, 3, 0, 3, 1, 2, 0, 4, 2, 1, 2, 3, 4, 4, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 0, 4, 2, 4, 4, 1, 0, 4, 2, 3, 4, 0, 1, 0, 4, 4, 1, 2, 2, 1, 1, 3, 0, 1, 4, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 4, 4, 4, 4, 1, 3, 0, 4, 0, 0, 2, 1, 3, 4, 1, 0, 0, 1, 3, 4, 2, 2, 4, 1, 3, 1, 3, 1, 0, 3, 0, 1, 4, 1, 0, 2, 0, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 2, 3, 3, 1, 2, 2, 1, 4, 0, 0, 1, 4, 2, 4, 0, 2, 3, 2, 3, 1, 4, 3, 4, 1, 4, 4, 2, 0, 4, 1, 0, 0, 4, 1, 4, 4, 2, 4, 4, 1, 4, 3, 2, 1, 1, 4, 4, 3, 4, 3, 4, 1, 2, 0, 3, 0, 4, 1, 4, 4, 2, 0, 2, 2, 0, 2, 0, 0, 4, 2, 1, 0, 2, 1, 4, 4, 1, 3, 2, 1, 4, 2, 0, 0, 1, 1, 1, 1, 3, 3, 4, 1, 0, 4, 2, 1, 3, 3, 1, 1, 0, 4, 0, 3, 3, 4, 4, 0, 0, 3, 4, 1, 2, 3, 4, 3, 1, 2, 3, 3, 0, 4, 1, 2, 1, 4, 4, 0, 0, 3, 4, 4, 4, 2, 0, 0, 0]
pubkeycol630 = [1, 4, 4, 2, 0, 3, 0, 4, 2, 2, 4, 0, 0, 2, 3, 3, 3, 4, 1, 3, 1, 2, 4, 0, 3, 3, 3, 2, 4, 4, 4, 0, 3, 0, 2, 3, 4, 0, 4, 0, 0, 1, 2, 3, 2, 3, 3, 1, 0, 2, 4, 4, 4, 2, 2, 0, 3, 1, 4, 0, 3, 1, 0, 2, 0, 2, 2, 3, 4, 2, 1, 2, 4, 3, 0, 0, 0, 3, 4, 0, 0, 3, 3, 1, 0, 1, 4, 0, 1, 1, 2, 0, 3, 0, 2, 0, 2, 0, 0, 4, 3, 2, 0, 2, 3, 1, 1, 3, 2, 3, 1, 4, 3, 1, 0, 3, 0, 3, 0, 2, 3, 1, 0, 4, 0, 4, 1, 3, 2, 3, 0, 0, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 3, 2, 4, 3, 0, 1, 1, 3, 1, 2, 0, 2, 0, 2, 4, 3, 1, 1, 3, 3, 3, 2, 0, 1, 3, 3, 3, 0, 3, 0, 2, 4, 3, 1, 4, 2, 3, 4, 2, 1, 0, 2, 4, 4, 4, 4, 1, 4, 4, 4, 2, 1, 1, 1, 0, 3, 4, 2, 2, 3, 0, 1, 1, 4, 1, 0, 1, 0, 2, 0, 0, 0, 3, 0, 2, 4, 4, 3, 0, 1, 2, 1, 0, 3, 3, 1, 3, 2, 3, 1, 3, 3, 1, 3, 3, 0, 0, 0, 1, 1, 1, 2, 4, 2, 3, 1, 3, 4, 1, 0, 0, 3, 3, 1, 4, 0, 2, 3, 1, 0, 2, 4, 1, 2, 0, 0, 4, 3, 4, 3, 1, 3, 2, 4, 3, 4, 1, 3, 3, 2, 3, 4, 1, 2, 4, 0, 3, 4, 4, 2, 1, 0, 0, 3, 0, 3, 0, 2, 3, 2, 2, 2, 4, 4, 3, 2, 1, 3, 4, 1, 4, 3, 2, 1, 2, 2, 1, 1]
pubkeycol631 = [2, 2, 3, 2, 1, 1, 2, 0, 4, 3, 1, 1, 3, 2, 1, 0, 2, 3, 1, 1, 2, 3, 3, 4, 0, 1, 4, 3, 3, 4, 4, 1, 2, 0, 0, 3, 0, 2, 2, 3, 1, 1, 4, 0, 2, 3, 2, 2, 4, 0, 0, 4, 0, 1, 4, 2, 0, 0, 4, 0, 4, 2, 0, 3, 1, 4, 4, 4, 4, 0, 4, 1, 0, 0, 4, 2, 1, 4, 3, 3, 2, 2, 3, 4, 3, 0, 1, 3, 1, 3, 0, 2, 4, 2, 3, 2, 4, 4, 1, 1, 3, 3, 2, 3, 3, 1, 2, 4, 0, 0, 0, 4, 4, 4, 1, 1, 4, 2, 1, 1, 4, 4, 1, 2, 2, 3, 2, 3, 0, 0, 1, 3, 3, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 4, 3, 3, 2, 1, 1, 1, 2, 0, 4, 2, 3, 3, 3, 0, 3, 0, 2, 4, 0, 2, 3, 2, 3, 0, 0, 2, 0, 2, 1, 4, 0, 1, 1, 3, 0, 4, 0, 4, 2, 2, 0, 0, 3, 4, 1, 4, 4, 0, 4, 3, 1, 1, 2, 3, 3, 3, 3, 4, 1, 1, 1, 4, 1, 4, 0, 3, 3, 0, 2, 1, 0, 2, 3, 3, 4, 1, 3, 3, 2, 1, 4, 1, 4, 1, 1, 0, 0, 4, 0, 3, 2, 4, 4, 1, 0, 1, 0, 0, 4, 0, 3, 1, 3, 4, 2, 2, 0, 3, 0, 3, 3, 3, 2, 0, 3, 3, 3, 3, 4, 4, 2, 3, 4, 2, 4, 1, 4, 3, 0, 0, 3, 1, 0, 2, 0, 3, 3, 4, 4, 0, 1, 0, 0, 2, 3, 1, 0, 3, 2, 1, 2, 0, 3, 4, 2, 1, 3, 1, 2, 4, 3, 4, 2, 3, 0, 2, 0, 0, 3, 3]
pubkeycol632 = [2, 4, 0, 4, 3, 2, 2, 1, 3, 1, 2, 0, 3, 3, 0, 1, 1, 0, 4, 0, 2, 4, 3, 2, 4, 3, 1, 2, 4, 0, 4, 4, 0, 1, 1, 2, 4, 3, 2, 4, 1, 4, 2, 3, 1, 1, 2, 1, 1, 3, 2, 1, 0, 2, 0, 0, 4, 0, 0, 2, 4, 2, 1, 1, 3, 0, 0, 2, 1, 3, 3, 2, 1, 0, 2, 3, 4, 2, 4, 0, 3, 1, 2, 3, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 1, 3, 4, 3, 4, 2, 3, 1, 1, 1, 0, 0, 0, 4, 3, 3, 3, 3, 2, 2, 3, 0, 4, 3, 4, 2, 1, 1, 1, 2, 0, 0, 3, 1, 0, 1, 3, 2, 0, 4, 3, 4, 3, 1, 4, 1, 3, 1, 2, 2, 3, 4, 3, 0, 3, 2, 4, 4, 3, 0, 1, 1, 0, 3, 0, 1, 1, 1, 1, 4, 4, 2, 0, 2, 4, 1, 1, 2, 4, 1, 4, 0, 3, 0, 0, 1, 2, 1, 0, 2, 1, 4, 1, 3, 4, 0, 4, 0, 4, 2, 4, 0, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 0, 4, 0, 0, 2, 1, 0, 4, 1, 2, 0, 4, 0, 3, 3, 3, 0, 4, 0, 1, 1, 2, 4, 1, 2, 4, 1, 0, 3, 3, 4, 2, 1, 3, 4, 3, 0, 2, 1, 1, 4, 0, 4, 1, 2, 4, 1, 3, 3, 2, 0, 0, 3, 3, 2, 3, 3, 4, 0, 0, 4, 0, 2, 0, 0, 2, 4, 4, 3, 1, 4, 0, 2, 4, 4, 2, 1, 1, 4, 3, 4, 3, 2, 1, 3, 1, 0, 1, 2, 3, 0, 4, 1, 2, 4, 1, 3, 3, 0, 2, 2, 2, 4, 4, 1, 3, 1, 0, 4, 3, 0, 0]
pubkeycol633 = [3, 4, 4, 3, 1, 3, 0, 0, 1, 4, 1, 3, 3, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 3, 4, 3, 4, 2, 3, 4, 4, 2, 0, 2, 3, 2, 1, 4, 0, 2, 0, 4, 0, 3, 0, 0, 2, 2, 2, 2, 3, 3, 4, 4, 0, 1, 4, 4, 3, 1, 3, 0, 3, 2, 3, 0, 1, 4, 0, 2, 4, 0, 2, 2, 1, 1, 4, 0, 0, 3, 1, 0, 3, 4, 2, 0, 2, 3, 0, 1, 2, 4, 1, 0, 2, 0, 4, 3, 4, 4, 2, 0, 0, 2, 2, 3, 1, 3, 1, 0, 2, 0, 3, 2, 2, 3, 2, 2, 3, 3, 0, 2, 4, 2, 1, 1, 3, 2, 1, 2, 3, 0, 1, 2, 4, 0, 4, 4, 1, 0, 1, 1, 1, 3, 3, 4, 3, 4, 1, 0, 2, 1, 3, 0, 2, 3, 4, 3, 2, 3, 4, 1, 0, 4, 0, 1, 4, 1, 1, 4, 3, 3, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 4, 1, 0, 0, 4, 0, 0, 3, 2, 4, 2, 2, 4, 2, 4, 4, 4, 3, 1, 1, 0, 4, 1, 0, 1, 1, 2, 3, 0, 2, 4, 4, 3, 0, 0, 1, 1, 4, 1, 3, 2, 4, 0, 3, 4, 0, 1, 0, 2, 4, 1, 0, 4, 2, 3, 0, 3, 1, 4, 3, 4, 2, 0, 1, 0, 2, 2, 2, 3, 2, 0, 0, 1, 3, 3, 2, 3, 0, 4, 0, 1, 4, 3, 4, 1, 3, 0, 0, 3, 3, 1, 3, 4, 2, 4, 4, 3, 2, 0, 4, 0, 1, 0, 1, 1, 3, 0, 3, 1, 0, 0, 2, 0, 3, 3, 1, 4, 1, 1, 1, 2, 3, 0, 4, 4, 3, 2, 4, 4, 2, 4]
pubkeycol634 = [3, 4, 0, 2, 3, 1, 4, 1, 3, 0, 3, 3, 3, 3, 2, 4, 3, 4, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 4, 2, 3, 4, 3, 0, 1, 0, 2, 4, 4, 3, 0, 0, 2, 2, 4, 2, 2, 0, 3, 3, 3, 4, 3, 1, 4, 1, 1, 1, 3, 4, 0, 0, 0, 3, 2, 0, 2, 2, 0, 2, 0, 3, 0, 4, 0, 0, 4, 2, 1, 2, 0, 1, 1, 1, 4, 0, 1, 4, 4, 1, 2, 1, 1, 0, 1, 1, 0, 4, 3, 1, 4, 3, 4, 0, 1, 4, 0, 2, 2, 3, 2, 2, 3, 2, 4, 3, 2, 1, 1, 2, 2, 2, 4, 1, 0, 4, 4, 2, 4, 2, 3, 1, 4, 1, 3, 0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 3, 4, 4, 1, 3, 1, 4, 2, 2, 0, 3, 3, 2, 4, 4, 1, 2, 4, 2, 1, 4, 2, 2, 1, 0, 0, 1, 1, 1, 4, 2, 3, 2, 2, 1, 0, 3, 3, 0, 0, 2, 3, 0, 3, 4, 4, 3, 2, 3, 1, 1, 1, 2, 4, 2, 0, 1, 1, 1, 1, 4, 3, 1, 3, 2, 1, 0, 3, 0, 1, 2, 3, 0, 1, 4, 3, 1, 1, 0, 4, 3, 1, 0, 1, 3, 4, 1, 3, 2, 2, 2, 2, 1, 0, 1, 4, 0, 2, 1, 4, 1, 1, 4, 1, 4, 0, 2, 4, 0, 2, 1, 2, 2, 0, 3, 2, 4, 2, 4, 3, 2, 1, 1, 2, 3, 1, 3, 4, 3, 3, 0, 2, 2, 0, 2, 1, 4, 4, 3, 4, 4, 0, 2, 4, 1, 2, 3, 4, 3, 4, 2, 2, 4, 3, 4, 1, 0, 4, 1, 2, 4, 2, 4, 0, 1, 1, 0, 4, 3, 0, 0, 4, 3, 3]
pubkeycol635 = [1, 2, 3, 1, 2, 4, 4, 4, 3, 4, 0, 1, 2, 2, 4, 1, 0, 2, 4, 0, 0, 0, 4, 3, 1, 0, 2, 3, 1, 1, 4, 2, 2, 2, 4, 4, 3, 0, 2, 2, 2, 1, 4, 4, 2, 0, 4, 3, 1, 4, 2, 0, 4, 2, 1, 0, 0, 2, 3, 1, 0, 0, 2, 4, 4, 4, 2, 0, 1, 1, 2, 3, 0, 1, 4, 2, 1, 4, 4, 3, 2, 4, 1, 0, 1, 2, 1, 3, 2, 2, 0, 1, 0, 4, 1, 3, 0, 0, 1, 4, 4, 4, 2, 3, 3, 1, 4, 4, 2, 4, 1, 4, 1, 4, 4, 2, 4, 2, 2, 3, 4, 2, 0, 0, 4, 0, 3, 0, 1, 1, 0, 0, 2, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 4, 1, 0, 1, 3, 2, 0, 2, 2, 2, 2, 1, 3, 4, 3, 4, 2, 3, 3, 3, 0, 3, 3, 4, 3, 0, 4, 0, 1, 2, 3, 2, 2, 1, 1, 2, 3, 0, 2, 0, 1, 2, 2, 3, 1, 0, 1, 0, 1, 1, 3, 2, 4, 2, 3, 1, 3, 3, 1, 2, 0, 4, 4, 1, 1, 1, 4, 1, 3, 3, 3, 4, 3, 1, 0, 0, 1, 4, 2, 1, 2, 2, 0, 2, 3, 2, 4, 1, 2, 4, 3, 4, 2, 1, 0, 4, 2, 3, 3, 2, 2, 0, 2, 2, 3, 1, 2, 4, 4, 2, 1, 4, 1, 2, 3, 2, 1, 3, 0, 3, 4, 3, 4, 4, 2, 0, 0, 4, 4, 3, 0, 1, 4, 0, 1, 2, 0, 0, 2, 2, 3, 1, 1, 4, 3, 0, 3, 0, 0, 2, 4, 1, 2, 0, 0, 4, 4, 2, 3, 4, 0, 0, 0, 0, 4, 3, 1, 1, 2, 3, 3, 4, 2, 4, 4, 2, 4]
pubkeycol636 = [0, 4, 4, 4, 2, 0, 2, 3, 0, 3, 3, 2, 0, 0, 0, 4, 2, 0, 0, 2, 2, 3, 2, 4, 2, 2, 2, 0, 1, 3, 2, 3, 4, 4, 3, 1, 0, 2, 1, 4, 1, 1, 1, 1, 1, 0, 4, 4, 3, 2, 3, 4, 0, 4, 1, 4, 4, 0, 0, 3, 1, 4, 3, 2, 3, 0, 2, 4, 2, 2, 3, 2, 0, 3, 4, 3, 4, 2, 4, 3, 1, 1, 3, 0, 3, 3, 0, 3, 2, 4, 4, 0, 3, 2, 4, 2, 0, 1, 3, 2, 2, 1, 4, 0, 0, 3, 0, 4, 1, 2, 4, 3, 3, 4, 2, 3, 0, 3, 2, 4, 3, 3, 0, 1, 2, 1, 4, 0, 1, 3, 0, 3, 1, 4, 4, 2, 3, 4, 1, 3, 0, 1, 1, 4, 1, 0, 1, 3, 2, 2, 1, 4, 1, 2, 4, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 3, 3, 4, 1, 0, 1, 4, 4, 2, 0, 3, 4, 1, 1, 4, 0, 4, 0, 3, 4, 2, 3, 3, 4, 3, 3, 1, 1, 1, 4, 2, 1, 4, 0, 1, 3, 2, 1, 2, 3, 1, 0, 3, 3, 0, 3, 4, 4, 4, 2, 3, 2, 2, 0, 0, 4, 3, 4, 2, 0, 0, 4, 0, 3, 4, 0, 3, 2, 0, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 4, 0, 3, 2, 0, 0, 2, 1, 4, 1, 0, 1, 4, 3, 0, 2, 3, 3, 2, 0, 4, 4, 0, 0, 3, 1, 1, 1, 4, 0, 2, 2, 2, 2, 0, 3, 4, 1, 2, 2, 3, 1, 1, 1, 1, 0, 3, 0, 3, 4, 0, 4, 0, 4, 3, 2, 1, 3, 4, 0, 1, 3, 4, 2, 0, 4, 3, 2, 2, 1, 0, 4, 1, 1, 2]
pubkeycol637 = [1, 1, 1, 2, 0, 1, 3, 3, 4, 4, 4, 2, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 3, 0, 3, 4, 2, 2, 4, 0, 2, 3, 0, 3, 0, 3, 1, 3, 0, 2, 2, 4, 1, 2, 3, 0, 0, 1, 0, 2, 0, 1, 2, 4, 0, 0, 3, 3, 0, 1, 0, 2, 3, 0, 2, 2, 4, 4, 2, 2, 3, 1, 3, 3, 1, 3, 4, 0, 3, 4, 3, 3, 3, 1, 0, 4, 3, 3, 1, 0, 0, 3, 1, 0, 2, 1, 1, 4, 1, 3, 1, 1, 4, 4, 2, 3, 1, 1, 3, 1, 4, 3, 0, 3, 1, 1, 4, 3, 2, 0, 3, 4, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 3, 1, 4, 3, 4, 3, 4, 3, 2, 0, 1, 0, 2, 3, 3, 4, 4, 2, 1, 3, 1, 0, 2, 0, 1, 2, 2, 3, 3, 4, 3, 4, 0, 1, 4, 0, 0, 3, 3, 2, 3, 4, 3, 0, 4, 1, 0, 3, 3, 2, 4, 0, 2, 4, 4, 1, 4, 3, 3, 1, 4, 0, 4, 4, 2, 0, 2, 2, 0, 2, 3, 2, 4, 0, 0, 0, 0, 0, 4, 2, 1, 3, 0, 4, 4, 3, 0, 3, 2, 4, 4, 3, 1, 4, 0, 3, 4, 2, 1, 3, 4, 0, 3, 1, 1, 1, 3, 4, 4, 1, 0, 0, 1, 0, 2, 2, 4, 3, 3, 3, 1, 3, 1, 1, 2, 2, 4, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 0, 2, 1, 4, 0, 1, 3, 0, 1, 0, 4, 2, 3, 3, 3, 2, 0, 3, 0, 1, 0, 1, 2, 0, 4, 4, 1, 4, 2, 3, 2, 4, 3, 3, 0, 2, 2, 3, 3, 4, 1, 2, 0, 2, 1, 1, 1, 2]
pubkeycol638 = [0, 0, 1, 0, 3, 3, 0, 3, 0, 1, 2, 2, 3, 1, 3, 4, 1, 1, 1, 0, 2, 0, 0, 0, 3, 1, 3, 3, 3, 1, 2, 1, 0, 2, 2, 1, 3, 1, 4, 3, 3, 2, 3, 1, 1, 4, 3, 3, 3, 3, 2, 0, 0, 3, 4, 0, 1, 2, 3, 4, 4, 1, 4, 4, 3, 4, 1, 0, 4, 0, 0, 4, 1, 4, 3, 4, 0, 3, 4, 0, 3, 0, 4, 4, 4, 4, 0, 2, 4, 0, 3, 0, 0, 3, 1, 1, 0, 3, 4, 3, 3, 2, 1, 1, 4, 3, 2, 4, 3, 3, 2, 3, 4, 0, 0, 0, 2, 0, 4, 3, 4, 0, 2, 3, 3, 1, 4, 4, 3, 0, 2, 1, 2, 1, 1, 2, 2, 4, 3, 4, 2, 0, 2, 4, 3, 0, 0, 1, 0, 0, 0, 3, 0, 0, 1, 3, 4, 4, 0, 4, 4, 3, 1, 1, 3, 0, 3, 1, 1, 2, 4, 2, 0, 0, 2, 3, 0, 1, 3, 4, 1, 0, 1, 4, 1, 2, 3, 3, 3, 0, 3, 1, 4, 0, 0, 2, 2, 3, 2, 0, 1, 3, 2, 4, 1, 4, 0, 0, 3, 1, 3, 1, 4, 0, 2, 2, 0, 4, 4, 2, 4, 1, 1, 3, 2, 3, 4, 0, 3, 2, 1, 3, 4, 2, 0, 3, 1, 2, 0, 4, 0, 0, 1, 1, 2, 1, 2, 2, 4, 1, 0, 0, 4, 1, 3, 0, 0, 4, 3, 2, 2, 4, 2, 3, 2, 2, 1, 2, 1, 3, 0, 0, 3, 4, 1, 0, 0, 0, 4, 1, 2, 0, 4, 0, 3, 3, 2, 3, 3, 2, 4, 0, 4, 3, 0, 4, 1, 3, 3, 0, 0, 4, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 3, 2, 4, 0, 1, 1]
pubkeycol639 = [3, 0, 1, 4, 3, 3, 0, 1, 4, 4, 1, 1, 0, 4, 3, 0, 3, 3, 1, 1, 1, 3, 4, 4, 2, 2, 2, 4, 4, 1, 2, 3, 1, 4, 0, 4, 1, 3, 3, 2, 1, 4, 2, 3, 0, 3, 3, 4, 1, 2, 1, 4, 4, 0, 4, 4, 3, 0, 2, 4, 0, 0, 4, 1, 0, 3, 4, 2, 3, 0, 1, 2, 2, 3, 1, 2, 4, 0, 1, 4, 0, 2, 4, 4, 2, 0, 2, 2, 2, 3, 3, 4, 4, 2, 3, 2, 3, 4, 1, 4, 0, 3, 2, 4, 1, 0, 1, 2, 0, 4, 3, 0, 4, 4, 3, 3, 3, 1, 0, 3, 2, 0, 4, 4, 2, 1, 3, 1, 0, 2, 3, 2, 4, 3, 2, 2, 0, 3, 0, 0, 4, 4, 4, 0, 3, 1, 4, 1, 4, 3, 2, 2, 1, 3, 2, 0, 2, 4, 2, 2, 2, 1, 1, 4, 3, 0, 1, 1, 0, 4, 0, 2, 3, 1, 1, 3, 3, 3, 0, 0, 3, 4, 4, 4, 4, 1, 3, 0, 2, 4, 2, 3, 1, 3, 3, 3, 0, 3, 3, 3, 1, 4, 1, 4, 3, 2, 2, 1, 2, 1, 3, 4, 1, 1, 4, 2, 3, 0, 0, 0, 4, 1, 3, 1, 2, 2, 3, 1, 4, 0, 2, 0, 4, 2, 4, 1, 3, 0, 2, 2, 3, 3, 4, 0, 3, 4, 3, 1, 3, 2, 3, 2, 4, 4, 3, 1, 2, 3, 4, 1, 1, 1, 2, 1, 0, 0, 0, 3, 2, 4, 4, 3, 2, 1, 0, 4, 0, 2, 0, 2, 0, 2, 4, 0, 3, 1, 0, 3, 1, 2, 4, 3, 0, 1, 0, 3, 2, 2, 4, 2, 0, 0, 2, 3, 4, 0, 4, 2, 1, 4, 4, 2, 3, 2, 0, 2, 0, 4, 4, 1]
pubkeycol640 = [1, 4, 1, 4, 3, 3, 4, 4, 1, 3, 0, 4, 2, 2, 2, 2, 0, 4, 4, 0, 2, 0, 4, 1, 2, 3, 3, 4, 2, 2, 2, 0, 1, 4, 0, 0, 2, 3, 0, 3, 1, 4, 1, 0, 4, 3, 4, 3, 0, 3, 3, 4, 2, 2, 0, 4, 4, 4, 3, 1, 1, 4, 3, 2, 3, 1, 4, 0, 3, 2, 4, 0, 0, 0, 4, 3, 3, 4, 4, 0, 4, 3, 4, 0, 2, 2, 2, 0, 3, 4, 1, 2, 0, 3, 0, 1, 3, 4, 4, 0, 2, 2, 0, 0, 2, 0, 3, 3, 3, 0, 3, 1, 0, 4, 4, 0, 0, 0, 0, 4, 3, 0, 1, 4, 0, 3, 4, 0, 0, 0, 3, 2, 3, 1, 1, 4, 0, 4, 2, 0, 4, 1, 4, 0, 4, 0, 3, 1, 2, 4, 1, 3, 2, 3, 0, 0, 4, 3, 0, 2, 2, 3, 2, 3, 2, 3, 1, 3, 3, 1, 1, 3, 3, 2, 1, 0, 3, 4, 0, 3, 2, 2, 1, 4, 1, 2, 2, 0, 2, 2, 3, 4, 1, 0, 1, 0, 4, 0, 0, 1, 4, 0, 3, 1, 1, 0, 2, 4, 1, 1, 0, 4, 0, 1, 4, 2, 3, 1, 0, 4, 2, 0, 3, 2, 0, 1, 2, 4, 0, 1, 1, 3, 4, 1, 4, 2, 3, 3, 1, 3, 3, 4, 4, 4, 0, 3, 1, 4, 0, 2, 0, 2, 2, 3, 4, 3, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 3, 3, 4, 4, 3, 2, 2, 0, 2, 3, 2, 2, 3, 4, 4, 0, 0, 2, 2, 3, 1, 2, 2, 3, 0, 3, 1, 4, 3, 3, 2, 1, 2, 4, 4, 1, 4, 0, 1, 2, 4, 1, 1, 1, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3]
pubkeycol641 = [3, 4, 2, 1, 4, 2, 4, 2, 2, 4, 1, 2, 4, 4, 1, 1, 0, 4, 4, 1, 2, 2, 4, 2, 3, 3, 2, 2, 2, 0, 4, 4, 0, 1, 4, 2, 1, 2, 2, 1, 3, 1, 2, 1, 4, 4, 2, 0, 2, 3, 4, 2, 1, 4, 1, 1, 4, 2, 3, 0, 0, 0, 3, 2, 0, 4, 1, 2, 0, 1, 0, 3, 4, 4, 1, 3, 1, 3, 1, 2, 4, 1, 3, 0, 4, 2, 2, 1, 3, 4, 1, 4, 3, 0, 1, 1, 4, 1, 4, 1, 4, 3, 1, 2, 1, 1, 0, 1, 3, 2, 3, 4, 0, 4, 2, 0, 0, 4, 2, 2, 3, 1, 4, 4, 2, 3, 4, 3, 4, 0, 4, 2, 1, 2, 0, 4, 1, 0, 0, 3, 0, 2, 0, 4, 2, 4, 3, 0, 2, 2, 4, 3, 2, 0, 0, 0, 4, 2, 3, 1, 1, 4, 1, 2, 4, 0, 4, 3, 2, 4, 1, 3, 2, 4, 3, 2, 0, 2, 2, 1, 0, 3, 4, 2, 2, 4, 1, 1, 0, 1, 0, 3, 1, 0, 1, 4, 3, 4, 0, 0, 4, 1, 0, 4, 3, 1, 0, 0, 4, 0, 0, 1, 2, 1, 0, 4, 2, 1, 1, 1, 0, 1, 0, 0, 4, 4, 3, 0, 1, 0, 2, 1, 0, 3, 1, 4, 3, 1, 0, 2, 1, 0, 4, 1, 0, 3, 4, 2, 1, 4, 4, 1, 3, 4, 1, 0, 2, 0, 0, 4, 2, 0, 0, 1, 2, 2, 3, 2, 0, 0, 3, 2, 2, 1, 2, 4, 4, 3, 2, 4, 3, 0, 3, 4, 3, 3, 1, 1, 1, 4, 4, 1, 3, 2, 2, 3, 4, 3, 2, 4, 0, 3, 1, 3, 2, 0, 3, 4, 2, 4, 2, 2, 0, 2, 2, 2, 0, 3, 4, 1]
pubkeycol642 = [4, 2, 4, 1, 2, 3, 4, 3, 1, 2, 4, 3, 0, 3, 2, 4, 4, 3, 2, 0, 1, 0, 0, 1, 3, 0, 3, 2, 0, 4, 4, 3, 3, 4, 3, 3, 4, 2, 0, 0, 4, 2, 1, 3, 0, 1, 2, 0, 3, 3, 4, 1, 1, 4, 4, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 3, 0, 3, 3, 3, 4, 2, 3, 2, 4, 3, 3, 3, 3, 4, 3, 1, 2, 4, 1, 2, 3, 3, 3, 1, 1, 1, 3, 2, 2, 3, 2, 0, 3, 4, 2, 4, 3, 2, 0, 3, 4, 4, 1, 0, 1, 3, 4, 3, 2, 0, 3, 2, 4, 0, 3, 2, 0, 3, 2, 4, 3, 1, 0, 2, 2, 1, 3, 1, 0, 2, 2, 4, 3, 1, 4, 1, 0, 1, 0, 4, 2, 4, 0, 0, 3, 3, 0, 3, 1, 0, 0, 1, 0, 2, 3, 1, 4, 3, 0, 4, 0, 3, 3, 2, 3, 0, 0, 3, 4, 2, 1, 4, 2, 0, 2, 1, 3, 1, 4, 3, 1, 2, 4, 4, 4, 2, 2, 0, 2, 2, 2, 1, 0, 3, 3, 0, 4, 2, 0, 0, 4, 0, 4, 1, 3, 3, 0, 3, 3, 2, 2, 1, 4, 1, 4, 3, 0, 3, 1, 0, 3, 4, 3, 2, 0, 4, 2, 4, 1, 3, 2, 0, 3, 3, 2, 4, 2, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 2, 3, 2, 0, 3, 3, 4, 0, 0, 2, 2, 3, 4, 3, 3, 4, 2, 0, 3, 3, 1, 0, 3, 1, 1, 4, 3, 1, 0, 4, 3, 1, 1, 3, 2, 3, 0, 2, 0, 3, 4, 4, 0, 3, 1, 0, 3, 1, 2, 3, 0, 1, 4, 4, 1, 0, 2, 0, 0, 3, 1, 2, 3, 4]
pubkeycol643 = [4, 3, 0, 2, 2, 0, 3, 0, 2, 1, 2, 0, 3, 2, 4, 3, 0, 2, 4, 1, 1, 1, 2, 4, 2, 2, 0, 3, 3, 3, 0, 4, 1, 0, 1, 2, 2, 4, 1, 0, 2, 4, 0, 4, 3, 0, 3, 2, 2, 0, 1, 3, 1, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 1, 3, 2, 0, 0, 3, 0, 1, 1, 2, 3, 1, 3, 4, 2, 2, 4, 0, 2, 2, 0, 2, 2, 4, 3, 4, 0, 2, 1, 1, 2, 4, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 3, 3, 3, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 4, 4, 0, 2, 1, 3, 4, 4, 4, 2, 4, 1, 3, 4, 1, 3, 3, 4, 2, 3, 0, 3, 1, 3, 4, 0, 3, 0, 4, 3, 0, 4, 0, 1, 0, 1, 4, 4, 1, 4, 0, 3, 4, 1, 1, 2, 4, 0, 1, 0, 2, 2, 0, 4, 1, 3, 1, 1, 4, 0, 4, 2, 2, 0, 0, 2, 2, 2, 4, 3, 2, 3, 4, 2, 0, 1, 0, 4, 3, 1, 2, 0, 2, 3, 0, 0, 4, 3, 0, 0, 1, 3, 4, 4, 3, 0, 1, 3, 0, 3, 0, 4, 1, 2, 2, 1, 0, 2, 2, 2, 3, 4, 3, 4, 4, 0, 2, 1, 3, 4, 1, 0, 0, 2, 0, 4, 1, 3, 2, 3, 4, 1, 0, 3, 1, 0, 2, 4, 1, 2, 2, 1, 4, 0, 3, 1, 4, 1, 4, 2, 0, 4, 3, 4, 4, 4, 1, 0, 2, 0, 0, 2, 1, 4, 3, 1, 3, 0, 2, 2, 0, 4, 1, 0, 3, 4, 1, 2, 0, 1, 1, 2, 3, 2, 1, 0, 0, 3, 2, 2, 1, 1, 0, 1, 0, 4, 1, 4, 2, 3]
pubkeycol644 = [4, 2, 3, 2, 0, 2, 3, 2, 1, 3, 4, 3, 0, 1, 4, 4, 4, 4, 0, 0, 4, 0, 2, 3, 2, 2, 4, 4, 3, 1, 1, 1, 3, 0, 1, 3, 2, 4, 0, 2, 4, 1, 2, 2, 2, 1, 3, 0, 0, 2, 0, 1, 2, 2, 0, 4, 4, 2, 0, 0, 4, 4, 4, 2, 4, 1, 1, 1, 1, 4, 0, 0, 0, 3, 1, 0, 3, 1, 0, 4, 3, 2, 3, 1, 1, 2, 0, 3, 4, 3, 1, 0, 1, 4, 2, 4, 0, 4, 1, 3, 1, 4, 2, 1, 0, 1, 0, 4, 0, 3, 0, 0, 4, 2, 4, 1, 3, 1, 0, 1, 4, 0, 2, 0, 2, 0, 4, 1, 4, 0, 3, 3, 0, 0, 4, 1, 0, 3, 2, 3, 0, 3, 0, 1, 4, 2, 1, 0, 3, 1, 4, 1, 1, 3, 0, 3, 4, 0, 4, 4, 4, 3, 2, 4, 4, 0, 0, 4, 1, 2, 2, 3, 2, 1, 4, 3, 0, 3, 4, 0, 3, 4, 2, 2, 2, 0, 2, 3, 0, 2, 4, 2, 0, 1, 2, 3, 4, 4, 2, 2, 3, 1, 2, 3, 2, 4, 2, 3, 2, 0, 1, 0, 3, 0, 2, 0, 3, 1, 4, 3, 4, 3, 2, 4, 2, 3, 2, 0, 4, 0, 4, 2, 2, 4, 0, 4, 3, 1, 3, 2, 4, 0, 4, 1, 3, 1, 4, 1, 0, 1, 4, 1, 0, 2, 0, 3, 0, 3, 1, 4, 4, 1, 2, 1, 3, 3, 1, 2, 4, 0, 4, 4, 2, 4, 0, 1, 4, 3, 4, 1, 4, 2, 2, 1, 1, 2, 4, 0, 3, 4, 1, 3, 4, 0, 4, 1, 4, 4, 3, 0, 0, 3, 4, 3, 1, 2, 1, 3, 3, 3, 2, 2, 0, 1, 2, 1, 4, 2, 4, 3]
pubkeycol645 = [0, 3, 1, 1, 2, 2, 1, 0, 4, 1, 0, 0, 3, 4, 1, 2, 2, 3, 3, 1, 2, 3, 1, 1, 3, 0, 3, 0, 2, 0, 4, 0, 2, 1, 1, 3, 1, 3, 1, 3, 2, 4, 3, 1, 3, 4, 0, 4, 4, 3, 3, 4, 0, 0, 1, 0, 1, 4, 2, 0, 0, 1, 2, 3, 1, 0, 1, 0, 1, 0, 3, 2, 1, 0, 2, 0, 1, 1, 4, 3, 3, 2, 1, 0, 1, 1, 3, 4, 3, 0, 4, 1, 3, 2, 2, 0, 2, 2, 2, 0, 0, 4, 1, 4, 4, 2, 4, 4, 0, 3, 3, 2, 1, 4, 1, 0, 3, 2, 1, 0, 2, 1, 4, 1, 4, 4, 3, 2, 1, 2, 0, 0, 4, 0, 4, 0, 1, 1, 4, 3, 3, 2, 1, 2, 4, 0, 3, 2, 1, 3, 3, 2, 2, 4, 4, 3, 3, 2, 0, 4, 1, 1, 1, 0, 3, 0, 0, 1, 0, 1, 0, 3, 2, 2, 2, 3, 1, 4, 3, 3, 2, 2, 0, 1, 1, 2, 1, 3, 3, 0, 1, 3, 0, 1, 3, 4, 3, 2, 0, 3, 1, 1, 0, 3, 1, 2, 3, 1, 3, 4, 2, 1, 2, 1, 2, 3, 4, 0, 0, 3, 2, 1, 4, 2, 2, 4, 1, 3, 2, 0, 4, 3, 4, 3, 2, 2, 4, 2, 4, 2, 1, 3, 1, 3, 1, 1, 2, 4, 2, 3, 3, 0, 2, 4, 0, 4, 3, 2, 2, 4, 0, 2, 4, 0, 4, 4, 2, 2, 3, 4, 2, 4, 3, 0, 3, 2, 4, 1, 4, 3, 2, 3, 3, 4, 3, 4, 3, 2, 3, 0, 1, 1, 4, 1, 0, 1, 2, 4, 0, 2, 4, 3, 4, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 4, 1, 2, 1, 1, 3, 2]
pubkeycol646 = [3, 3, 4, 3, 3, 0, 2, 3, 2, 2, 4, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 0, 3, 4, 4, 0, 3, 3, 4, 0, 0, 2, 2, 3, 0, 2, 1, 2, 4, 0, 1, 0, 4, 0, 0, 1, 1, 2, 3, 1, 2, 4, 3, 1, 1, 0, 2, 3, 1, 4, 1, 1, 3, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 4, 3, 2, 1, 3, 3, 4, 3, 1, 3, 1, 0, 3, 4, 4, 2, 4, 1, 3, 0, 1, 1, 3, 4, 2, 2, 4, 3, 1, 3, 0, 2, 4, 2, 1, 4, 0, 1, 0, 3, 1, 2, 2, 1, 0, 3, 3, 4, 1, 2, 1, 3, 4, 1, 0, 1, 2, 0, 2, 2, 1, 3, 2, 2, 0, 0, 4, 3, 3, 4, 3, 4, 1, 2, 1, 4, 3, 1, 2, 4, 2, 3, 4, 1, 2, 3, 2, 4, 1, 3, 4, 3, 0, 0, 1, 0, 1, 0, 4, 1, 2, 3, 0, 1, 3, 3, 0, 2, 2, 4, 3, 0, 2, 2, 0, 4, 2, 3, 1, 2, 1, 3, 0, 0, 0, 0, 3, 1, 3, 0, 0, 2, 0, 3, 0, 2, 1, 4, 4, 3, 2, 2, 4, 3, 0, 4, 0, 3, 0, 2, 3, 2, 3, 1, 3, 1, 2, 2, 4, 4, 4, 0, 1, 3, 0, 2, 3, 1, 2, 4, 3, 2, 4, 2, 4, 3, 0, 3, 0, 4, 0, 1, 3, 0, 1, 4, 4, 2, 0, 2, 4, 0, 3, 4, 3, 0, 3, 1, 1, 3, 4, 0, 1, 1, 1, 1, 0, 2, 4, 4, 1, 1, 4, 1, 0, 2, 0, 2, 3, 3, 0, 1, 4, 4, 1, 3, 0, 1, 1, 4, 1, 2, 2, 1, 1, 2, 3, 0, 4, 2, 3, 4]
pubkeycol647 = [4, 4, 0, 4, 2, 0, 0, 2, 0, 4, 4, 2, 4, 1, 2, 2, 1, 1, 0, 4, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 1, 2, 2, 0, 2, 1, 4, 2, 3, 4, 1, 0, 1, 0, 4, 3, 1, 4, 1, 3, 3, 0, 4, 2, 3, 4, 1, 3, 4, 0, 4, 4, 1, 4, 0, 1, 3, 4, 4, 3, 2, 2, 1, 3, 1, 2, 0, 2, 2, 4, 2, 1, 4, 4, 3, 0, 1, 2, 3, 1, 0, 1, 4, 2, 3, 2, 4, 3, 3, 2, 2, 4, 4, 3, 1, 3, 2, 1, 3, 4, 1, 3, 2, 0, 2, 3, 2, 0, 1, 1, 4, 0, 3, 4, 2, 2, 1, 0, 0, 1, 0, 4, 4, 0, 2, 4, 0, 4, 0, 2, 1, 0, 4, 3, 1, 0, 3, 4, 1, 2, 2, 2, 4, 1, 4, 0, 4, 1, 2, 2, 0, 3, 0, 2, 4, 4, 3, 0, 1, 0, 1, 1, 2, 1, 2, 3, 2, 0, 1, 0, 2, 1, 4, 2, 3, 4, 1, 3, 0, 4, 3, 1, 1, 2, 0, 3, 4, 2, 1, 3, 1, 1, 0, 0, 0, 3, 2, 4, 2, 0, 1, 4, 2, 1, 0, 3, 3, 4, 4, 2, 1, 4, 0, 1, 3, 2, 0, 0, 1, 0, 0, 0, 3, 2, 3, 2, 4, 3, 1, 0, 3, 0, 2, 3, 0, 2, 3, 0, 4, 4, 2, 3, 4, 2, 0, 2, 3, 3, 3, 0, 3, 1, 3, 0, 1, 1, 3, 2, 1, 1, 1, 0, 1, 0, 4, 4, 1, 4, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 3, 4, 1, 0, 2, 1, 4, 1, 3, 0, 3, 4, 4, 2, 1, 1, 0, 1, 3, 4, 0, 0, 1, 3, 1, 4, 1, 4]
pubkeycol648 = [3, 1, 2, 1, 3, 0, 2, 0, 4, 0, 2, 0, 1, 2, 2, 1, 2, 4, 2, 1, 3, 0, 2, 1, 0, 4, 2, 1, 4, 2, 1, 3, 0, 0, 0, 2, 4, 0, 0, 2, 4, 1, 1, 3, 3, 1, 3, 1, 4, 0, 4, 0, 4, 2, 2, 0, 4, 2, 3, 0, 0, 2, 4, 1, 2, 0, 2, 4, 4, 1, 4, 1, 4, 1, 3, 2, 4, 0, 2, 4, 2, 1, 3, 0, 0, 3, 1, 0, 3, 2, 4, 1, 0, 0, 1, 0, 1, 2, 3, 4, 0, 2, 0, 3, 2, 1, 0, 3, 4, 2, 1, 4, 4, 2, 0, 1, 2, 4, 1, 0, 0, 4, 2, 3, 3, 1, 3, 0, 2, 0, 2, 0, 1, 2, 2, 4, 0, 2, 3, 3, 3, 2, 4, 2, 1, 2, 3, 4, 4, 4, 0, 4, 4, 3, 3, 0, 2, 2, 4, 4, 4, 1, 0, 2, 3, 2, 0, 2, 2, 4, 2, 2, 3, 0, 2, 0, 4, 1, 1, 3, 4, 3, 3, 2, 0, 1, 4, 3, 1, 0, 3, 3, 0, 3, 0, 1, 2, 3, 4, 0, 4, 1, 1, 4, 1, 0, 0, 1, 0, 1, 4, 2, 3, 0, 2, 1, 0, 3, 3, 2, 0, 4, 3, 0, 0, 3, 1, 2, 1, 4, 4, 3, 0, 0, 1, 4, 2, 1, 3, 4, 4, 0, 4, 3, 1, 2, 3, 3, 1, 3, 1, 1, 0, 4, 1, 2, 2, 3, 1, 0, 2, 1, 1, 0, 2, 4, 2, 3, 2, 4, 1, 2, 4, 4, 0, 3, 1, 1, 1, 0, 0, 3, 3, 0, 2, 0, 0, 3, 1, 2, 0, 3, 3, 2, 2, 1, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 0, 3, 1, 2, 4, 3, 2, 0, 0, 1, 3, 2, 3, 0]
pubkeycol649 = [4, 1, 2, 2, 3, 2, 0, 3, 4, 4, 2, 2, 4, 2, 4, 3, 3, 2, 0, 3, 0, 4, 4, 4, 0, 0, 0, 2, 4, 2, 0, 3, 1, 3, 3, 2, 4, 1, 2, 3, 4, 3, 2, 0, 2, 1, 4, 2, 3, 0, 1, 4, 0, 3, 0, 3, 3, 1, 2, 4, 4, 2, 2, 4, 1, 0, 3, 4, 2, 1, 2, 1, 3, 0, 0, 1, 2, 0, 4, 0, 1, 0, 4, 4, 3, 0, 2, 4, 1, 0, 3, 0, 3, 4, 4, 1, 3, 4, 4, 1, 0, 3, 0, 1, 4, 4, 1, 1, 2, 3, 0, 1, 3, 4, 1, 0, 3, 1, 4, 2, 3, 0, 1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 3, 4, 3, 0, 1, 2, 3, 2, 4, 1, 0, 4, 3, 2, 3, 2, 4, 3, 3, 1, 2, 0, 2, 3, 4, 0, 2, 0, 0, 2, 1, 1, 1, 4, 2, 0, 3, 2, 3, 0, 3, 2, 0, 2, 1, 3, 4, 4, 1, 4, 0, 4, 3, 0, 2, 3, 0, 3, 3, 1, 0, 2, 4, 3, 3, 1, 4, 0, 1, 1, 2, 0, 3, 4, 4, 4, 4, 0, 1, 4, 2, 2, 4, 1, 4, 0, 3, 3, 2, 0, 3, 1, 3, 1, 0, 1, 4, 3, 4, 4, 2, 0, 4, 3, 2, 4, 2, 1, 4, 1, 1, 4, 3, 3, 0, 4, 4, 3, 2, 2, 4, 0, 0, 0, 0, 1, 0, 0, 4, 3, 4, 1, 4, 3, 2, 4, 0, 2, 0, 2, 3, 1, 3, 4, 3, 0, 0, 0, 2, 2, 3, 1, 3, 0, 2, 0, 2, 1, 3, 1, 3, 0, 1, 4, 3, 2, 2, 2, 2, 3, 0, 1, 4, 2, 0, 0, 1, 3, 2, 4, 0, 2, 2, 4, 4, 1, 1]
pubkeycol650 = [4, 3, 1, 0, 4, 3, 3, 0, 3, 4, 3, 1, 2, 1, 3, 2, 0, 1, 1, 1, 3, 2, 3, 2, 0, 4, 2, 0, 1, 0, 0, 1, 3, 4, 0, 2, 4, 1, 3, 1, 0, 2, 4, 1, 1, 4, 2, 4, 2, 4, 1, 2, 2, 3, 1, 2, 2, 1, 3, 3, 3, 0, 4, 1, 1, 3, 4, 1, 4, 0, 2, 0, 3, 4, 2, 3, 1, 2, 1, 4, 0, 3, 3, 3, 0, 2, 3, 0, 3, 3, 0, 3, 0, 0, 3, 2, 0, 1, 1, 1, 4, 0, 4, 3, 4, 1, 4, 1, 0, 3, 3, 3, 0, 1, 2, 0, 2, 1, 3, 1, 3, 3, 2, 0, 3, 0, 3, 4, 4, 3, 0, 3, 3, 2, 0, 0, 0, 3, 2, 2, 1, 4, 4, 0, 3, 2, 3, 3, 4, 4, 3, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 4, 0, 3, 3, 3, 4, 1, 2, 3, 1, 3, 4, 4, 4, 4, 3, 3, 1, 3, 2, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 2, 0, 4, 4, 0, 4, 4, 0, 1, 3, 1, 2, 1, 3, 3, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 4, 4, 3, 2, 1, 0, 0, 3, 4, 3, 2, 1, 0, 3, 1, 3, 3, 1, 2, 1, 1, 0, 2, 4, 0, 3, 2, 4, 3, 0, 0, 1, 4, 3, 1, 4, 1, 3, 0, 2, 1, 1, 4, 0, 4, 4, 1, 0, 2, 3, 3, 0, 4, 3, 3, 0, 1, 0, 4, 1, 1, 3, 3, 2, 3, 2, 3, 0, 2, 3, 2, 0, 3, 2, 4, 0, 1, 0, 0, 0, 3, 2, 1, 1, 3, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 3]
pubkeycol651 = [2, 3, 4, 4, 3, 2, 3, 4, 1, 4, 2, 0, 0, 3, 0, 2, 2, 2, 1, 3, 4, 4, 2, 4, 0, 2, 4, 3, 0, 0, 0, 4, 3, 1, 2, 0, 2, 1, 3, 2, 3, 2, 4, 4, 1, 3, 2, 0, 4, 4, 4, 2, 4, 1, 3, 4, 0, 4, 4, 1, 2, 0, 2, 1, 0, 1, 4, 1, 4, 3, 4, 1, 3, 3, 2, 1, 3, 3, 2, 1, 4, 4, 4, 1, 3, 3, 0, 2, 1, 0, 4, 1, 1, 3, 1, 3, 0, 2, 4, 2, 1, 2, 3, 0, 3, 4, 3, 3, 2, 4, 2, 0, 3, 0, 1, 4, 3, 1, 1, 4, 1, 2, 1, 3, 0, 2, 1, 0, 4, 2, 2, 0, 3, 0, 3, 0, 2, 2, 2, 3, 2, 3, 3, 0, 3, 4, 0, 3, 4, 4, 1, 4, 1, 4, 1, 3, 3, 1, 3, 1, 4, 4, 3, 2, 0, 1, 0, 3, 4, 2, 4, 3, 3, 3, 1, 3, 1, 3, 1, 1, 0, 2, 0, 3, 3, 3, 4, 0, 0, 4, 4, 2, 1, 3, 2, 4, 1, 4, 0, 1, 3, 4, 2, 3, 1, 3, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 3, 2, 0, 4, 1, 4, 4, 0, 0, 2, 1, 0, 3, 4, 3, 2, 3, 3, 1, 2, 0, 0, 4, 4, 1, 1, 4, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 4, 2, 3, 4, 0, 3, 4, 0, 2, 4, 4, 2, 0, 1, 1, 2, 4, 0, 1, 3, 4, 0, 3, 4, 0, 0, 0, 1, 3, 3, 1, 0, 0, 0, 4, 0, 2, 2, 4, 2, 1, 3, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 4, 4, 2, 3, 0, 0, 1, 4, 1, 0, 4, 1, 2, 1, 4]
pubkeycol652 = [4, 1, 4, 2, 2, 1, 0, 4, 3, 4, 3, 1, 4, 1, 2, 3, 4, 0, 2, 4, 3, 1, 1, 3, 2, 1, 4, 0, 3, 2, 1, 3, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 0, 2, 4, 2, 4, 0, 3, 3, 1, 1, 3, 2, 4, 1, 0, 0, 0, 2, 4, 3, 4, 2, 3, 2, 4, 3, 2, 4, 2, 0, 4, 0, 0, 4, 0, 2, 1, 1, 3, 0, 1, 4, 0, 1, 0, 2, 0, 1, 3, 3, 4, 4, 4, 4, 2, 4, 1, 4, 0, 0, 2, 1, 0, 2, 4, 4, 1, 4, 1, 4, 3, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 0, 1, 2, 1, 2, 3, 3, 0, 0, 4, 0, 4, 2, 4, 4, 0, 2, 0, 3, 4, 1, 0, 1, 4, 1, 0, 4, 0, 0, 1, 3, 4, 2, 2, 4, 1, 0, 4, 4, 3, 1, 3, 1, 4, 0, 1, 4, 2, 1, 3, 2, 0, 4, 1, 0, 4, 4, 4, 2, 3, 1, 3, 2, 1, 0, 4, 2, 1, 4, 2, 3, 4, 0, 1, 0, 4, 4, 2, 3, 0, 4, 2, 3, 1, 2, 4, 2, 0, 4, 4, 0, 0, 2, 3, 2, 2, 2, 0, 0, 3, 3, 4, 0, 1, 2, 4, 0, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 3, 0, 1, 1, 1, 0, 2, 3, 2, 0, 1, 2, 4, 1, 3, 4, 4, 0, 4, 2, 1, 1, 2, 2, 3, 0, 2, 0, 0, 1, 1, 3, 2, 1, 1, 4, 1, 4, 4, 0, 1, 3, 3, 2, 1, 1, 1, 3, 0, 2, 1, 3, 2, 2, 3, 3, 4, 2, 4, 1, 0, 4, 2, 2, 4, 1, 3, 3, 1, 0, 3, 2, 1, 3, 4, 3, 2, 4, 0, 0]
pubkeycol653 = [4, 1, 1, 2, 3, 0, 2, 1, 0, 0, 3, 4, 1, 4, 4, 2, 0, 2, 3, 3, 0, 3, 0, 0, 4, 2, 1, 3, 3, 2, 1, 0, 4, 0, 4, 4, 4, 4, 3, 3, 1, 4, 1, 1, 3, 4, 0, 4, 4, 0, 4, 4, 3, 3, 4, 2, 2, 4, 4, 1, 4, 3, 0, 3, 4, 3, 3, 4, 4, 4, 1, 2, 1, 3, 0, 4, 3, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 4, 4, 0, 2, 3, 0, 2, 3, 0, 4, 4, 4, 3, 1, 2, 2, 4, 3, 2, 2, 1, 0, 4, 0, 3, 4, 0, 3, 4, 2, 1, 3, 4, 0, 1, 0, 1, 1, 4, 0, 3, 4, 0, 0, 1, 4, 1, 4, 4, 0, 1, 3, 4, 2, 4, 2, 2, 3, 0, 3, 1, 2, 4, 0, 0, 0, 3, 3, 4, 3, 1, 4, 0, 1, 0, 0, 2, 3, 4, 3, 4, 3, 4, 0, 3, 4, 2, 3, 3, 4, 3, 3, 0, 3, 4, 3, 4, 4, 2, 2, 2, 4, 4, 3, 2, 4, 3, 4, 0, 0, 4, 3, 3, 3, 2, 3, 2, 1, 4, 0, 4, 1, 2, 2, 1, 3, 1, 0, 0, 4, 4, 3, 0, 1, 3, 2, 0, 2, 1, 1, 2, 1, 0, 2, 3, 1, 0, 3, 2, 2, 1, 0, 3, 0, 4, 1, 2, 2, 2, 1, 4, 4, 2, 1, 0, 3, 2, 3, 4, 2, 2, 1, 0, 1, 0, 0, 4, 1, 0, 0, 1, 0, 1, 3, 1, 1, 3, 3, 4, 0, 2, 4, 0, 1, 0, 2, 1, 4, 4, 3, 2, 4, 4, 3, 4, 3, 1, 4, 0, 0, 4, 3, 3, 3, 0, 2, 3, 4, 2, 1, 4, 0, 3, 0, 4, 0, 0, 4]
pubkeycol654 = [0, 4, 2, 1, 3, 0, 4, 4, 2, 4, 4, 2, 3, 3, 4, 1, 3, 0, 1, 1, 2, 2, 3, 0, 3, 2, 3, 3, 0, 1, 3, 2, 1, 2, 2, 1, 3, 2, 1, 3, 0, 0, 1, 1, 1, 2, 1, 3, 1, 1, 4, 1, 2, 1, 3, 0, 2, 2, 0, 4, 4, 2, 2, 4, 3, 3, 0, 0, 4, 0, 4, 1, 3, 4, 3, 4, 0, 0, 0, 3, 4, 0, 1, 0, 0, 2, 1, 3, 1, 0, 1, 3, 1, 3, 0, 0, 3, 1, 4, 1, 1, 1, 3, 2, 2, 3, 2, 0, 4, 1, 2, 2, 2, 3, 3, 4, 2, 2, 4, 1, 0, 4, 2, 3, 1, 1, 4, 2, 2, 4, 3, 0, 3, 1, 0, 2, 4, 1, 2, 3, 3, 3, 4, 0, 2, 1, 3, 1, 3, 1, 4, 1, 1, 4, 0, 3, 3, 0, 2, 1, 4, 2, 3, 0, 3, 4, 4, 0, 2, 4, 4, 2, 0, 1, 3, 4, 4, 4, 1, 4, 1, 1, 1, 0, 2, 1, 1, 1, 2, 4, 1, 2, 1, 1, 4, 2, 1, 1, 3, 1, 2, 3, 4, 3, 3, 4, 4, 4, 4, 0, 4, 0, 3, 3, 1, 1, 0, 4, 0, 3, 4, 4, 4, 0, 0, 4, 4, 2, 0, 4, 3, 0, 4, 3, 2, 2, 4, 3, 3, 3, 2, 1, 2, 2, 1, 4, 0, 3, 4, 3, 2, 3, 4, 1, 2, 3, 0, 1, 0, 1, 0, 0, 2, 1, 2, 4, 1, 3, 0, 1, 2, 2, 2, 3, 2, 3, 4, 4, 1, 0, 2, 1, 4, 4, 3, 1, 1, 1, 4, 2, 1, 2, 4, 0, 3, 4, 2, 1, 2, 4, 0, 1, 1, 3, 1, 0, 4, 1, 3, 0, 4, 0, 1, 2, 2, 4, 3, 3, 3, 4]
pubkeycol655 = [0, 1, 1, 2, 0, 2, 1, 1, 3, 4, 4, 0, 0, 0, 2, 3, 4, 2, 3, 2, 4, 4, 2, 2, 1, 4, 3, 1, 3, 1, 1, 2, 4, 2, 0, 0, 4, 4, 2, 4, 2, 3, 4, 4, 3, 1, 0, 0, 4, 3, 2, 1, 2, 3, 3, 4, 2, 1, 4, 4, 1, 1, 2, 1, 1, 0, 1, 4, 2, 2, 2, 4, 0, 2, 3, 3, 4, 4, 0, 4, 4, 0, 2, 2, 2, 0, 1, 4, 3, 3, 2, 3, 3, 0, 1, 2, 3, 4, 2, 4, 3, 1, 1, 0, 0, 0, 3, 4, 2, 0, 4, 3, 4, 0, 4, 1, 4, 4, 0, 1, 1, 2, 3, 0, 0, 4, 1, 1, 4, 4, 4, 4, 2, 0, 1, 1, 1, 2, 0, 3, 2, 3, 2, 1, 3, 2, 2, 2, 4, 4, 2, 2, 4, 4, 4, 3, 2, 2, 3, 3, 4, 4, 1, 2, 1, 3, 3, 1, 2, 4, 0, 2, 1, 3, 4, 1, 4, 0, 1, 3, 2, 2, 4, 2, 1, 2, 3, 2, 0, 1, 2, 2, 1, 3, 3, 2, 4, 3, 1, 3, 2, 4, 1, 3, 2, 3, 1, 2, 0, 0, 3, 0, 1, 1, 2, 4, 0, 4, 3, 3, 0, 3, 3, 3, 0, 4, 1, 1, 3, 3, 2, 1, 4, 1, 2, 2, 3, 3, 0, 3, 2, 2, 0, 4, 4, 2, 3, 1, 1, 4, 3, 0, 4, 0, 4, 0, 0, 1, 0, 1, 1, 4, 1, 3, 0, 3, 0, 0, 4, 0, 3, 3, 3, 1, 1, 0, 4, 3, 3, 0, 2, 3, 4, 0, 1, 0, 3, 1, 3, 1, 2, 1, 1, 0, 3, 4, 2, 3, 1, 3, 3, 3, 0, 3, 3, 2, 1, 2, 2, 4, 2, 3, 2, 2, 1, 2, 1, 1, 3, 4]
pubkeycol656 = [4, 2, 1, 2, 4, 1, 4, 4, 1, 3, 1, 0, 3, 4, 1, 1, 1, 0, 2, 3, 3, 3, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 3, 4, 4, 0, 3, 4, 3, 3, 0, 1, 0, 2, 4, 2, 0, 2, 1, 4, 1, 0, 0, 3, 4, 0, 3, 2, 4, 2, 4, 3, 3, 1, 0, 1, 3, 1, 2, 3, 3, 2, 1, 2, 1, 2, 0, 0, 0, 3, 2, 1, 3, 0, 0, 3, 4, 1, 1, 0, 2, 2, 4, 4, 3, 0, 2, 0, 1, 2, 3, 1, 3, 0, 0, 4, 0, 4, 3, 4, 3, 1, 3, 4, 3, 2, 2, 4, 4, 4, 0, 4, 0, 3, 3, 3, 0, 3, 0, 4, 2, 1, 0, 2, 3, 3, 1, 2, 0, 4, 1, 4, 4, 1, 0, 4, 1, 3, 1, 4, 1, 0, 0, 4, 2, 0, 4, 1, 4, 4, 3, 0, 2, 3, 3, 1, 2, 0, 0, 1, 0, 2, 4, 4, 4, 3, 3, 1, 1, 3, 1, 4, 1, 3, 2, 2, 3, 1, 3, 3, 4, 3, 1, 3, 4, 1, 2, 3, 1, 3, 4, 0, 2, 3, 0, 4, 0, 2, 3, 1, 4, 4, 4, 4, 3, 3, 4, 2, 1, 2, 0, 1, 4, 3, 2, 1, 3, 3, 1, 0, 4, 1, 1, 4, 1, 2, 1, 4, 4, 1, 0, 0, 0, 1, 1, 3, 4, 1, 1, 0, 3, 3, 4, 1, 1, 2, 3, 2, 2, 0, 4, 4, 0, 1, 3, 4, 2, 2, 4, 1, 4, 1, 4, 0, 3, 1, 3, 1, 1, 0, 3, 0, 2, 3, 4, 4, 2, 0, 2, 3, 1, 2, 4, 3, 0, 0, 2, 4, 3, 3, 1, 1, 0, 4, 1, 1, 3, 3, 1, 1, 4]
pubkeycol657 = [2, 4, 4, 3, 0, 2, 3, 2, 1, 1, 0, 3, 4, 0, 1, 4, 2, 1, 4, 4, 0, 3, 1, 1, 3, 4, 3, 2, 1, 2, 1, 4, 4, 1, 4, 0, 1, 0, 0, 4, 1, 0, 1, 2, 0, 2, 3, 0, 1, 1, 4, 1, 4, 3, 0, 3, 4, 2, 0, 2, 3, 2, 4, 3, 2, 1, 3, 3, 4, 1, 4, 0, 0, 0, 3, 1, 1, 3, 0, 0, 2, 4, 0, 1, 4, 0, 3, 2, 2, 2, 0, 0, 0, 4, 1, 3, 3, 4, 4, 2, 2, 4, 2, 4, 4, 3, 3, 4, 2, 4, 4, 0, 1, 0, 0, 3, 4, 4, 1, 2, 4, 4, 2, 1, 2, 2, 4, 1, 3, 4, 2, 2, 3, 3, 0, 3, 1, 3, 2, 0, 2, 4, 1, 0, 0, 4, 1, 0, 3, 2, 2, 4, 3, 1, 3, 4, 1, 2, 0, 3, 0, 4, 1, 2, 1, 3, 4, 4, 2, 0, 1, 4, 0, 1, 1, 1, 4, 3, 4, 0, 4, 4, 3, 4, 2, 3, 4, 4, 1, 0, 4, 3, 1, 3, 4, 4, 1, 2, 2, 0, 1, 3, 0, 0, 4, 1, 4, 2, 3, 0, 3, 1, 0, 4, 4, 4, 2, 4, 2, 1, 3, 1, 2, 4, 4, 4, 0, 4, 4, 2, 4, 3, 1, 0, 3, 1, 4, 0, 3, 2, 2, 2, 1, 1, 0, 1, 3, 1, 1, 0, 3, 1, 1, 2, 4, 1, 4, 4, 1, 4, 3, 3, 3, 4, 4, 4, 0, 4, 0, 1, 1, 1, 4, 1, 3, 2, 0, 3, 3, 1, 2, 2, 0, 1, 2, 1, 4, 1, 1, 1, 2, 1, 1, 4, 1, 1, 3, 3, 2, 1, 1, 2, 2, 0, 2, 4, 0, 3, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1]
pubkeycol658 = [3, 0, 1, 4, 0, 4, 1, 0, 1, 1, 0, 0, 2, 3, 2, 2, 3, 3, 0, 1, 0, 1, 1, 4, 4, 4, 4, 1, 4, 3, 2, 4, 2, 0, 2, 1, 4, 4, 2, 0, 4, 1, 0, 2, 0, 4, 1, 3, 4, 1, 4, 0, 1, 3, 4, 2, 4, 3, 2, 3, 4, 2, 0, 3, 1, 2, 2, 3, 1, 4, 0, 1, 2, 3, 1, 3, 0, 3, 0, 0, 1, 0, 2, 2, 3, 2, 4, 4, 0, 3, 4, 3, 1, 4, 3, 4, 0, 2, 0, 2, 3, 1, 4, 1, 0, 3, 1, 0, 4, 1, 1, 2, 2, 3, 4, 2, 1, 2, 4, 3, 2, 1, 4, 2, 4, 2, 4, 2, 2, 4, 3, 4, 1, 3, 1, 1, 0, 1, 2, 4, 3, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 4, 0, 2, 3, 4, 0, 4, 0, 3, 2, 4, 4, 4, 4, 1, 3, 3, 2, 4, 4, 2, 4, 3, 4, 3, 3, 0, 3, 4, 3, 4, 3, 0, 0, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 4, 0, 4, 1, 0, 0, 0, 3, 0, 1, 2, 3, 2, 0, 3, 3, 2, 4, 4, 1, 1, 4, 4, 2, 1, 3, 3, 3, 1, 4, 4, 3, 0, 4, 0, 2, 4, 1, 1, 3, 2, 2, 3, 2, 0, 3, 1, 4, 2, 4, 1, 2, 0, 3, 0, 2, 2, 2, 0, 2, 3, 4, 4, 1, 1, 0, 3, 3, 1, 1, 2, 3, 1, 3, 4, 3, 2, 0, 4, 1, 3, 0, 1, 4, 3, 0, 0, 0, 3, 1, 2, 3, 1, 1, 2, 1, 4, 3, 4, 4, 0, 2, 1, 1, 1, 4, 2, 4, 1, 0, 2, 3, 3, 2, 1, 1, 2, 4, 4, 2, 1, 1, 0, 1, 0]
pubkeycol659 = [4, 3, 0, 1, 3, 4, 2, 3, 1, 0, 3, 2, 3, 1, 4, 0, 2, 1, 2, 1, 1, 3, 1, 4, 1, 3, 2, 0, 1, 0, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 4, 0, 1, 2, 2, 0, 4, 2, 1, 2, 4, 3, 3, 3, 3, 0, 1, 3, 0, 1, 1, 4, 3, 3, 4, 4, 2, 1, 2, 2, 0, 3, 2, 3, 2, 4, 3, 2, 0, 3, 0, 1, 4, 4, 3, 2, 1, 4, 3, 3, 2, 3, 3, 2, 2, 4, 2, 4, 0, 4, 4, 4, 4, 1, 0, 2, 1, 3, 0, 4, 4, 2, 0, 1, 0, 4, 3, 3, 3, 4, 2, 2, 0, 2, 3, 0, 0, 0, 1, 0, 0, 4, 4, 0, 4, 4, 3, 1, 3, 2, 1, 2, 0, 0, 3, 3, 2, 2, 1, 3, 2, 3, 0, 2, 0, 1, 2, 1, 0, 3, 1, 2, 0, 1, 4, 4, 4, 1, 3, 2, 4, 2, 0, 1, 4, 3, 3, 2, 0, 4, 0, 0, 0, 0, 1, 0, 0, 4, 0, 4, 0, 4, 4, 3, 1, 2, 4, 4, 4, 3, 0, 1, 4, 2, 0, 2, 1, 1, 4, 4, 4, 3, 2, 0, 1, 4, 1, 4, 3, 2, 4, 2, 3, 2, 3, 3, 3, 0, 3, 2, 1, 4, 2, 4, 0, 2, 1, 2, 4, 2, 1, 4, 3, 4, 3, 4, 3, 4, 0, 3, 3, 1, 3, 0, 4, 3, 0, 2, 0, 4, 0, 4, 4, 3, 2, 1, 2, 3, 0, 1, 0, 2, 1, 0, 3, 3, 2, 0, 2, 4, 3, 4, 3, 3, 1, 0, 1, 2, 4, 2, 3, 2, 0, 3, 2, 3, 0, 1, 2, 1, 0, 1, 2, 4, 4, 1, 1, 0, 4, 1, 1, 4, 0, 0, 3, 3, 0]
pubkeycol660 = [3, 0, 1, 0, 2, 3, 3, 3, 1, 0, 4, 0, 3, 1, 2, 3, 0, 2, 1, 1, 3, 0, 1, 2, 4, 0, 0, 4, 4, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 1, 3, 2, 0, 2, 2, 4, 1, 2, 4, 0, 4, 0, 4, 0, 1, 3, 4, 1, 2, 4, 2, 3, 1, 3, 4, 2, 3, 4, 4, 0, 4, 0, 3, 3, 1, 3, 1, 2, 1, 1, 4, 0, 1, 1, 1, 3, 2, 2, 0, 2, 1, 4, 0, 2, 1, 2, 3, 4, 4, 3, 2, 2, 0, 4, 3, 3, 0, 4, 0, 3, 0, 1, 0, 1, 1, 3, 3, 4, 2, 4, 0, 3, 1, 1, 3, 1, 3, 3, 4, 3, 0, 0, 0, 2, 2, 4, 2, 1, 2, 3, 2, 0, 1, 2, 4, 1, 0, 1, 4, 0, 3, 0, 4, 1, 3, 4, 3, 2, 0, 0, 0, 3, 1, 1, 4, 3, 0, 0, 4, 3, 1, 0, 0, 1, 4, 1, 3, 4, 3, 0, 2, 1, 4, 3, 1, 1, 3, 3, 1, 1, 3, 1, 2, 4, 3, 0, 1, 0, 4, 0, 1, 4, 3, 0, 1, 4, 3, 2, 3, 0, 1, 0, 2, 3, 2, 4, 4, 2, 4, 0, 1, 2, 0, 0, 3, 1, 1, 2, 3, 1, 4, 2, 2, 3, 2, 0, 0, 1, 3, 3, 2, 2, 1, 2, 3, 4, 2, 0, 4, 3, 3, 3, 1, 0, 4, 1, 1, 2, 3, 2, 3, 3, 4, 4, 4, 4, 4, 3, 1, 3, 2, 0, 2, 1, 3, 2, 1, 4, 2, 3, 1, 1, 4, 0, 3, 1, 4, 0, 1, 0, 0, 1, 2, 2, 4, 2, 4, 3, 0, 2, 2, 0, 0, 2, 3, 0, 1, 1, 0, 1, 2, 3, 1, 3, 3, 4, 1, 3]
pubkeycol661 = [2, 4, 1, 0, 4, 4, 2, 4, 4, 2, 2, 2, 1, 3, 4, 0, 1, 2, 3, 3, 3, 1, 4, 1, 3, 0, 1, 0, 3, 3, 2, 4, 3, 0, 3, 4, 4, 1, 0, 0, 4, 4, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 4, 0, 3, 4, 1, 2, 4, 1, 4, 3, 2, 4, 1, 2, 0, 3, 3, 4, 1, 1, 4, 4, 3, 1, 0, 0, 1, 3, 2, 0, 4, 3, 4, 1, 1, 2, 3, 3, 1, 4, 0, 0, 1, 3, 0, 2, 0, 0, 0, 2, 4, 1, 2, 4, 4, 0, 1, 2, 1, 2, 4, 2, 4, 0, 1, 1, 1, 3, 1, 1, 2, 4, 4, 1, 1, 2, 2, 0, 4, 2, 1, 1, 4, 0, 3, 2, 4, 4, 0, 1, 2, 3, 4, 2, 3, 4, 4, 1, 4, 3, 4, 4, 2, 2, 2, 4, 1, 3, 3, 2, 2, 2, 1, 3, 0, 1, 1, 3, 2, 1, 3, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 4, 0, 0, 2, 3, 2, 3, 3, 0, 1, 3, 1, 4, 0, 3, 3, 0, 1, 0, 3, 4, 0, 3, 3, 4, 2, 1, 4, 4, 1, 3, 4, 4, 4, 1, 2, 0, 3, 4, 3, 3, 0, 1, 0, 0, 2, 2, 0, 2, 3, 3, 0, 2, 3, 0, 4, 0, 0, 3, 0, 2, 2, 3, 0, 2, 3, 3, 4, 3, 4, 0, 2, 1, 2, 1, 1, 3, 4, 0, 3, 2, 3, 0, 0, 3, 0, 3, 2, 1, 1, 3, 1, 1, 4, 3, 1, 1, 2, 4, 1, 0, 3, 3, 1, 3, 3, 2, 3, 0, 2, 2, 4, 3, 0, 3, 4, 2, 1, 0, 4, 4, 3, 2, 0, 2, 2, 2, 1, 2, 0]
pubkeycol662 = [1, 1, 4, 1, 0, 4, 0, 2, 1, 2, 4, 1, 1, 0, 1, 4, 1, 2, 0, 0, 3, 0, 1, 3, 2, 4, 2, 4, 0, 3, 0, 3, 4, 3, 4, 1, 2, 4, 0, 2, 1, 2, 0, 0, 2, 4, 2, 2, 4, 0, 4, 1, 1, 1, 3, 3, 0, 2, 0, 3, 3, 4, 0, 4, 4, 0, 1, 1, 2, 1, 4, 4, 3, 2, 2, 4, 2, 1, 2, 2, 4, 1, 2, 1, 2, 4, 1, 0, 0, 4, 1, 2, 4, 2, 3, 1, 4, 4, 0, 1, 0, 3, 1, 3, 1, 1, 0, 0, 2, 0, 2, 1, 4, 1, 3, 4, 2, 0, 4, 2, 3, 1, 2, 0, 0, 4, 4, 1, 4, 1, 1, 0, 0, 3, 3, 4, 2, 3, 0, 2, 3, 2, 1, 2, 3, 0, 0, 1, 1, 3, 1, 0, 1, 2, 2, 3, 0, 3, 0, 1, 3, 3, 3, 0, 3, 1, 1, 1, 0, 1, 1, 1, 0, 4, 2, 3, 3, 1, 3, 1, 0, 2, 0, 3, 3, 0, 1, 3, 0, 4, 1, 0, 2, 2, 1, 2, 1, 3, 1, 3, 2, 0, 1, 0, 4, 3, 1, 1, 4, 0, 4, 3, 2, 2, 3, 1, 4, 3, 4, 3, 1, 0, 0, 0, 4, 1, 1, 4, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 3, 2, 4, 0, 0, 4, 0, 0, 4, 1, 4, 1, 2, 1, 3, 2, 4, 1, 0, 4, 2, 2, 1, 2, 0, 4, 3, 4, 4, 1, 0, 1, 3, 1, 1, 3, 1, 3, 3, 1, 1, 4, 4, 0, 0, 1, 0, 0, 3, 1, 2, 1, 3, 4, 0, 2, 1, 1, 0, 0, 2, 4, 4, 1, 4, 4, 0, 0, 0, 2, 4, 0, 3, 3, 4, 3, 2, 1, 2, 2, 2, 4]
pubkeycol663 = [3, 3, 3, 3, 2, 2, 4, 4, 3, 2, 2, 4, 2, 4, 0, 3, 2, 3, 3, 4, 1, 3, 3, 0, 4, 4, 0, 3, 2, 4, 2, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 4, 2, 2, 3, 2, 0, 3, 1, 0, 4, 4, 1, 0, 0, 0, 2, 2, 2, 0, 3, 4, 3, 0, 3, 0, 0, 0, 0, 3, 4, 2, 1, 0, 1, 3, 2, 1, 1, 0, 0, 4, 1, 1, 4, 2, 2, 0, 1, 2, 3, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 3, 3, 3, 1, 3, 3, 1, 4, 1, 4, 0, 3, 3, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 4, 0, 0, 0, 2, 2, 4, 4, 3, 0, 2, 4, 2, 1, 0, 4, 0, 4, 0, 2, 3, 0, 3, 0, 3, 2, 1, 2, 0, 2, 0, 1, 2, 2, 4, 2, 1, 2, 2, 0, 4, 3, 3, 0, 1, 4, 3, 0, 4, 1, 2, 2, 4, 1, 2, 2, 3, 1, 1, 0, 2, 4, 2, 4, 3, 4, 4, 3, 2, 4, 1, 3, 3, 3, 0, 3, 1, 0, 3, 2, 2, 2, 3, 0, 4, 0, 2, 3, 4, 2, 0, 3, 1, 1, 4, 3, 0, 2, 4, 0, 3, 0, 1, 2, 4, 0, 0, 2, 3, 0, 3, 0, 4, 0, 3, 3, 0, 3, 4, 0, 2, 0, 2, 4, 1, 3, 0, 1, 3, 0, 4, 1, 3, 0, 1, 3, 0, 1, 2, 0, 1, 0, 1, 0, 4, 1, 4, 1, 4, 0, 2, 1, 3, 4, 3, 3, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 3, 1, 4, 3, 3, 3, 1, 2, 0, 4, 4, 0, 4, 2, 1, 1]
pubkeycol664 = [4, 3, 0, 2, 2, 2, 2, 4, 1, 4, 3, 0, 4, 3, 2, 2, 2, 4, 3, 3, 3, 1, 3, 1, 1, 3, 1, 3, 0, 4, 3, 2, 3, 1, 3, 4, 3, 2, 1, 3, 3, 2, 0, 4, 1, 4, 1, 4, 4, 4, 0, 0, 3, 3, 4, 0, 2, 1, 2, 0, 1, 2, 4, 0, 1, 0, 3, 2, 3, 4, 1, 1, 3, 4, 0, 4, 3, 1, 0, 1, 3, 0, 0, 4, 1, 0, 2, 1, 0, 2, 3, 0, 3, 0, 4, 1, 0, 3, 1, 1, 1, 3, 4, 1, 4, 3, 1, 3, 2, 4, 0, 1, 0, 0, 3, 4, 3, 2, 3, 0, 2, 0, 3, 2, 1, 2, 4, 1, 4, 1, 0, 0, 3, 1, 2, 4, 0, 2, 1, 3, 3, 2, 3, 0, 0, 3, 2, 0, 2, 2, 2, 3, 4, 4, 0, 1, 0, 2, 0, 2, 1, 4, 4, 3, 1, 0, 0, 1, 1, 4, 1, 1, 1, 2, 1, 0, 4, 1, 3, 3, 4, 4, 2, 3, 1, 3, 1, 0, 3, 0, 3, 2, 4, 1, 2, 2, 3, 4, 2, 3, 0, 1, 0, 0, 1, 4, 3, 0, 2, 3, 1, 3, 3, 3, 2, 0, 0, 1, 1, 4, 2, 4, 4, 2, 0, 1, 1, 0, 0, 2, 1, 0, 3, 2, 4, 3, 2, 0, 2, 3, 4, 0, 0, 2, 0, 0, 4, 1, 1, 1, 1, 2, 0, 4, 0, 2, 3, 4, 1, 1, 2, 1, 0, 3, 3, 1, 3, 1, 0, 1, 3, 0, 1, 2, 0, 2, 4, 2, 3, 3, 3, 3, 2, 1, 4, 3, 0, 0, 3, 0, 0, 4, 2, 1, 0, 2, 1, 1, 3, 1, 0, 4, 0, 4, 3, 4, 3, 3, 0, 3, 1, 4, 2, 2, 1, 2, 0, 2, 2, 4]
pubkeycol665 = [0, 1, 3, 2, 0, 4, 3, 1, 3, 2, 4, 1, 0, 3, 2, 1, 0, 4, 0, 4, 1, 2, 4, 4, 3, 4, 3, 1, 4, 0, 3, 4, 0, 2, 3, 0, 1, 4, 4, 0, 4, 0, 2, 0, 3, 3, 4, 1, 0, 0, 4, 4, 3, 4, 0, 3, 0, 1, 4, 0, 3, 4, 2, 0, 1, 1, 4, 4, 2, 3, 2, 0, 4, 2, 2, 3, 0, 1, 1, 3, 2, 1, 0, 3, 0, 0, 4, 1, 4, 1, 4, 2, 1, 1, 2, 1, 0, 3, 3, 4, 3, 0, 4, 3, 4, 2, 3, 2, 1, 2, 3, 2, 0, 3, 4, 3, 2, 4, 4, 0, 2, 3, 4, 3, 4, 4, 0, 0, 3, 2, 2, 1, 0, 0, 3, 2, 1, 3, 4, 2, 2, 1, 4, 3, 0, 0, 3, 3, 2, 0, 3, 2, 4, 2, 4, 3, 1, 4, 3, 1, 2, 3, 0, 1, 4, 2, 1, 3, 4, 2, 4, 2, 3, 2, 0, 0, 4, 1, 4, 2, 3, 4, 1, 1, 4, 2, 0, 4, 1, 4, 0, 3, 1, 3, 0, 3, 4, 0, 2, 0, 4, 2, 3, 0, 3, 2, 3, 0, 3, 3, 0, 3, 4, 0, 0, 2, 3, 4, 3, 1, 0, 1, 3, 0, 4, 1, 3, 1, 2, 3, 3, 4, 4, 4, 2, 0, 4, 0, 1, 2, 0, 4, 2, 4, 0, 3, 1, 4, 4, 1, 4, 4, 2, 3, 3, 2, 0, 1, 2, 1, 4, 0, 3, 1, 3, 3, 3, 4, 1, 0, 1, 2, 2, 2, 2, 1, 1, 4, 1, 2, 2, 0, 3, 0, 1, 1, 2, 4, 0, 2, 2, 4, 0, 1, 0, 0, 4, 4, 2, 4, 3, 0, 0, 1, 4, 2, 4, 2, 0, 4, 1, 0, 0, 4, 3, 0, 0, 3, 0, 4]
pubkeycol666 = [4, 2, 3, 2, 0, 0, 3, 3, 3, 2, 4, 0, 4, 1, 1, 1, 1, 4, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 3, 1, 4, 4, 1, 2, 3, 0, 2, 3, 0, 3, 3, 3, 3, 4, 0, 3, 2, 2, 1, 1, 1, 2, 2, 3, 2, 3, 4, 2, 3, 4, 2, 0, 4, 2, 2, 2, 3, 4, 1, 1, 4, 1, 0, 0, 2, 2, 2, 4, 2, 1, 3, 2, 1, 1, 3, 2, 3, 4, 4, 2, 0, 2, 0, 0, 4, 1, 4, 3, 1, 4, 4, 2, 4, 1, 0, 1, 1, 4, 4, 3, 4, 2, 3, 3, 1, 3, 2, 3, 4, 1, 3, 1, 4, 2, 1, 3, 3, 1, 4, 3, 2, 4, 2, 0, 4, 2, 4, 0, 3, 3, 0, 4, 4, 3, 2, 1, 1, 3, 1, 4, 2, 4, 0, 4, 3, 1, 1, 1, 3, 1, 3, 0, 4, 0, 1, 2, 3, 4, 2, 1, 4, 1, 1, 2, 3, 4, 0, 3, 0, 4, 3, 0, 1, 4, 0, 0, 2, 1, 4, 1, 2, 0, 1, 4, 4, 4, 2, 4, 3, 1, 2, 3, 1, 1, 0, 3, 2, 4, 3, 4, 0, 3, 4, 4, 4, 4, 3, 3, 4, 0, 3, 0, 3, 2, 0, 4, 3, 2, 3, 3, 4, 3, 2, 0, 2, 0, 0, 1, 0, 0, 0, 4, 2, 0, 4, 1, 4, 3, 2, 0, 1, 3, 2, 2, 2, 0, 1, 3, 1, 4, 4, 1, 1, 2, 4, 1, 2, 2, 3, 2, 4, 1, 2, 0, 2, 1, 3, 1, 2, 4, 1, 0, 3, 0, 4, 4, 2, 4, 3, 4, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 3, 1, 2, 1, 4, 3, 0, 1, 1, 0, 1, 4, 1, 4, 1, 3, 1, 1, 0]
pubkeycol667 = [0, 4, 3, 0, 1, 1, 4, 2, 0, 3, 4, 2, 1, 3, 1, 3, 1, 0, 2, 4, 4, 3, 0, 4, 0, 4, 1, 0, 3, 3, 2, 2, 0, 4, 3, 4, 0, 0, 4, 0, 1, 4, 2, 3, 0, 3, 3, 3, 4, 0, 0, 0, 2, 3, 0, 1, 2, 0, 1, 1, 0, 3, 4, 0, 0, 1, 2, 3, 2, 4, 2, 0, 0, 3, 4, 2, 3, 4, 2, 4, 3, 1, 3, 3, 4, 1, 0, 1, 4, 2, 4, 0, 4, 2, 4, 0, 2, 3, 4, 1, 1, 1, 2, 3, 4, 2, 3, 2, 0, 0, 0, 0, 2, 2, 1, 4, 2, 1, 1, 2, 0, 2, 3, 1, 3, 4, 1, 0, 1, 3, 4, 0, 3, 4, 0, 1, 0, 1, 1, 2, 4, 0, 1, 0, 2, 2, 0, 4, 2, 1, 3, 4, 0, 3, 3, 1, 0, 3, 0, 3, 4, 1, 1, 1, 3, 0, 3, 1, 4, 1, 0, 2, 1, 1, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 2, 1, 2, 4, 4, 1, 0, 0, 4, 1, 4, 2, 1, 2, 4, 4, 2, 3, 2, 1, 1, 4, 1, 3, 2, 3, 0, 1, 2, 4, 1, 0, 3, 2, 1, 4, 1, 3, 1, 0, 2, 2, 0, 0, 0, 3, 0, 2, 3, 0, 0, 0, 1, 2, 3, 4, 4, 2, 3, 4, 4, 0, 0, 1, 4, 0, 4, 0, 3, 3, 0, 2, 4, 3, 4, 2, 4, 4, 4, 4, 0, 2, 3, 3, 3, 1, 3, 4, 3, 2, 2, 3, 2, 2, 4, 4, 3, 4, 3, 0, 3, 2, 2, 2, 3, 0, 0, 3, 3, 0, 3, 3, 1, 1, 0, 4, 3, 2, 1, 4, 3, 3, 1, 3, 4, 1, 4, 0, 0, 4, 4, 2, 4, 3, 2, 0]
pubkeycol668 = [4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 3, 4, 3, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 4, 2, 4, 0, 3, 2, 1, 2, 2, 3, 2, 2, 1, 4, 4, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 4, 2, 4, 2, 3, 0, 4, 1, 2, 4, 0, 2, 4, 1, 2, 4, 2, 4, 0, 4, 4, 4, 4, 2, 0, 1, 2, 1, 4, 0, 4, 3, 1, 1, 3, 4, 2, 4, 2, 2, 3, 3, 0, 1, 2, 2, 2, 4, 4, 3, 3, 4, 2, 2, 4, 1, 4, 0, 1, 3, 3, 2, 4, 1, 0, 3, 2, 3, 3, 2, 1, 4, 4, 3, 3, 0, 1, 3, 2, 4, 3, 4, 4, 1, 3, 0, 0, 3, 1, 2, 0, 1, 1, 3, 0, 3, 0, 1, 3, 0, 0, 4, 1, 1, 1, 1, 2, 4, 1, 4, 0, 1, 2, 1, 2, 1, 3, 2, 2, 0, 0, 3, 1, 0, 3, 4, 3, 3, 3, 0, 0, 0, 1, 4, 2, 1, 2, 0, 3, 1, 2, 3, 4, 4, 0, 4, 1, 2, 3, 2, 3, 0, 1, 1, 3, 0, 0, 4, 2, 4, 0, 4, 0, 2, 3, 2, 2, 2, 0, 3, 2, 4, 0, 3, 2, 3, 4, 0, 3, 2, 4, 1, 2, 4, 1, 1, 4, 4, 0, 3, 0, 4, 4, 2, 4, 3, 0, 3, 2, 0, 3, 0, 3, 2, 1, 4, 1, 3, 3, 1, 3, 3, 0, 4, 2, 1, 0, 1, 2, 0, 0, 3, 1, 4, 1, 0, 3, 1, 0, 4, 1, 2, 3, 1, 4, 3, 3, 1, 1, 4, 2, 2, 2, 1, 1, 4, 1, 4, 1, 2, 1, 3, 3, 3, 3, 0, 4, 0, 0, 2, 0, 1, 0, 4, 1, 1, 0, 2, 0]
pubkeycol669 = [4, 3, 2, 4, 1, 3, 2, 4, 1, 2, 4, 1, 1, 2, 4, 3, 4, 2, 0, 1, 2, 4, 1, 0, 2, 3, 1, 2, 0, 3, 0, 4, 4, 2, 1, 3, 2, 0, 4, 3, 4, 0, 2, 2, 0, 2, 3, 0, 2, 3, 3, 0, 3, 1, 2, 3, 3, 3, 2, 0, 3, 2, 0, 1, 2, 4, 1, 2, 3, 2, 3, 3, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 3, 1, 3, 4, 4, 2, 4, 3, 2, 0, 0, 2, 1, 1, 4, 4, 1, 4, 1, 3, 3, 2, 4, 4, 1, 4, 0, 0, 2, 1, 1, 2, 1, 2, 2, 3, 4, 1, 4, 4, 2, 2, 3, 3, 1, 1, 0, 3, 0, 2, 1, 3, 3, 1, 4, 3, 1, 1, 3, 0, 0, 1, 2, 3, 2, 1, 0, 2, 4, 0, 0, 3, 3, 1, 2, 2, 4, 1, 2, 3, 1, 3, 0, 2, 3, 1, 1, 2, 3, 0, 0, 3, 2, 4, 0, 4, 0, 2, 2, 1, 3, 3, 2, 3, 0, 0, 0, 3, 3, 1, 4, 0, 4, 1, 1, 1, 3, 1, 4, 0, 4, 2, 0, 1, 2, 0, 3, 2, 1, 3, 4, 2, 2, 3, 2, 3, 4, 3, 4, 3, 2, 4, 1, 1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 4, 1, 3, 0, 0, 3, 3, 0, 2, 3, 0, 4, 4, 0, 4, 4, 0, 0, 3, 1, 1, 3, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 4, 1, 2, 4, 0, 3, 3, 1, 1, 3, 4, 3, 3, 1, 0, 3, 3, 2, 1, 2, 1, 0, 3, 3, 0, 2, 2, 1, 3, 3, 2, 4, 4, 4, 2, 1, 2, 2, 4, 0, 1, 3, 0, 0, 3, 2, 0]
pubkeycol670 = [0, 1, 2, 3, 3, 0, 4, 0, 0, 4, 4, 2, 0, 3, 1, 4, 0, 2, 4, 4, 0, 2, 3, 3, 3, 0, 2, 4, 2, 0, 2, 1, 1, 4, 1, 3, 3, 2, 1, 3, 4, 4, 0, 2, 4, 1, 1, 1, 3, 1, 4, 0, 2, 1, 2, 3, 3, 3, 4, 3, 3, 4, 2, 2, 2, 0, 3, 1, 4, 4, 2, 2, 0, 3, 1, 0, 2, 2, 4, 4, 2, 2, 0, 2, 2, 0, 0, 1, 2, 3, 3, 1, 2, 2, 3, 0, 0, 0, 2, 3, 1, 1, 4, 0, 2, 4, 4, 2, 4, 4, 2, 3, 1, 2, 2, 1, 4, 0, 1, 4, 4, 2, 4, 0, 4, 2, 2, 0, 2, 2, 1, 2, 4, 1, 4, 0, 1, 2, 3, 4, 3, 3, 4, 0, 2, 2, 4, 3, 4, 1, 1, 3, 2, 3, 2, 2, 1, 4, 1, 1, 2, 3, 2, 0, 0, 0, 2, 4, 0, 4, 3, 0, 3, 2, 1, 2, 1, 0, 3, 1, 0, 4, 4, 0, 1, 4, 1, 4, 4, 4, 2, 3, 4, 2, 1, 0, 1, 4, 3, 2, 0, 3, 2, 2, 0, 0, 4, 0, 0, 2, 3, 3, 4, 2, 0, 1, 1, 0, 3, 2, 4, 2, 3, 2, 3, 3, 4, 2, 1, 4, 0, 0, 2, 3, 3, 3, 4, 0, 4, 4, 2, 0, 1, 0, 3, 1, 3, 3, 1, 0, 3, 3, 1, 3, 2, 0, 1, 4, 3, 3, 1, 4, 0, 2, 3, 3, 2, 4, 2, 3, 3, 0, 0, 1, 4, 4, 1, 2, 2, 0, 0, 2, 4, 3, 3, 3, 3, 4, 3, 2, 1, 2, 3, 4, 2, 0, 4, 3, 4, 2, 1, 4, 1, 1, 3, 1, 3, 2, 0, 3, 4, 3, 3, 1, 0, 4, 0, 4, 2, 4]
pubkeycol671 = [1, 3, 1, 4, 4, 1, 1, 2, 4, 1, 2, 0, 3, 3, 3, 0, 1, 3, 2, 4, 1, 2, 4, 2, 0, 3, 0, 0, 0, 2, 2, 2, 1, 2, 0, 4, 2, 1, 3, 1, 2, 3, 3, 1, 0, 2, 2, 0, 4, 0, 1, 1, 0, 3, 1, 0, 4, 0, 3, 2, 0, 2, 1, 1, 4, 3, 3, 1, 1, 2, 1, 2, 1, 4, 4, 2, 2, 1, 0, 3, 0, 2, 2, 4, 3, 0, 4, 0, 4, 1, 2, 3, 4, 2, 1, 4, 2, 4, 2, 4, 3, 4, 4, 2, 2, 4, 0, 1, 0, 1, 4, 4, 4, 0, 2, 1, 1, 3, 0, 1, 2, 4, 4, 4, 1, 2, 4, 1, 3, 4, 3, 2, 0, 4, 2, 0, 2, 4, 2, 1, 1, 0, 0, 3, 4, 2, 1, 3, 3, 2, 3, 3, 1, 4, 3, 3, 3, 1, 4, 1, 4, 3, 0, 0, 3, 4, 0, 0, 4, 4, 2, 0, 0, 3, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 4, 2, 3, 3, 4, 4, 3, 1, 2, 2, 0, 3, 3, 4, 4, 0, 0, 3, 0, 4, 0, 1, 0, 0, 3, 4, 1, 0, 3, 1, 2, 2, 1, 0, 0, 2, 0, 3, 3, 0, 2, 2, 0, 1, 0, 1, 1, 3, 0, 4, 2, 2, 4, 3, 1, 4, 4, 3, 4, 3, 2, 3, 0, 4, 4, 1, 3, 4, 1, 4, 1, 2, 3, 4, 3, 0, 0, 2, 4, 3, 2, 1, 4, 1, 2, 4, 0, 3, 3, 0, 2, 4, 0, 2, 0, 2, 1, 4, 0, 4, 4, 0, 1, 2, 0, 2, 3, 0, 1, 1, 0, 0, 3, 4, 0, 1, 3, 2, 0, 4, 4, 0, 3, 3, 2, 2, 4, 3, 0, 3, 2, 0, 0, 1, 3, 0]
pubkeycol672 = [2, 1, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 4, 1, 1, 4, 3, 0, 2, 2, 1, 3, 3, 0, 4, 0, 0, 3, 0, 3, 2, 2, 0, 1, 4, 3, 1, 2, 2, 4, 1, 1, 4, 2, 4, 3, 2, 4, 4, 3, 0, 2, 2, 1, 2, 4, 4, 3, 4, 3, 3, 0, 3, 1, 1, 2, 0, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 0, 2, 2, 3, 2, 3, 3, 4, 1, 3, 1, 1, 3, 0, 1, 2, 2, 0, 4, 4, 1, 0, 4, 0, 3, 3, 4, 2, 4, 2, 1, 1, 3, 4, 0, 4, 4, 2, 4, 1, 4, 0, 2, 0, 2, 0, 0, 4, 1, 3, 1, 2, 2, 0, 2, 3, 0, 1, 3, 4, 4, 0, 4, 2, 4, 1, 0, 1, 1, 2, 4, 0, 1, 3, 3, 0, 1, 3, 4, 0, 1, 3, 2, 3, 4, 1, 3, 3, 0, 4, 0, 4, 4, 2, 3, 3, 2, 4, 0, 1, 4, 1, 4, 2, 0, 4, 2, 3, 1, 3, 3, 1, 3, 0, 3, 3, 3, 1, 2, 0, 4, 4, 0, 0, 2, 2, 0, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 3, 3, 1, 1, 4, 2, 2, 3, 0, 1, 3, 0, 2, 2, 4, 3, 3, 4, 2, 1, 4, 4, 0, 0, 2, 4, 2, 1, 4, 2, 0, 4, 2, 2, 2, 4, 3, 3, 2, 4, 0, 3, 4, 0, 0, 3, 1, 3, 3, 0, 4, 4, 0, 1, 4, 4, 4, 2, 1, 3, 2, 2, 4, 4, 0, 1, 1, 1, 4, 0, 0, 2, 3, 1, 2, 0, 4, 2, 2, 4, 3, 3, 0, 3, 0, 4, 1, 3, 2, 0, 2, 3, 0, 2, 1, 2, 2, 3, 1, 2, 0, 2, 3, 1, 4]
pubkeycol673 = [0, 0, 3, 2, 2, 0, 3, 4, 3, 1, 1, 4, 4, 3, 4, 2, 0, 4, 4, 0, 0, 4, 4, 2, 2, 1, 3, 1, 2, 0, 4, 3, 4, 3, 1, 2, 1, 1, 1, 2, 0, 4, 1, 3, 0, 1, 0, 0, 2, 4, 2, 1, 2, 2, 2, 0, 1, 0, 4, 2, 3, 1, 4, 4, 1, 0, 3, 3, 3, 1, 4, 3, 2, 4, 4, 1, 0, 0, 2, 4, 2, 2, 3, 4, 4, 2, 4, 1, 1, 4, 0, 3, 0, 2, 4, 1, 3, 2, 3, 2, 0, 4, 3, 2, 1, 2, 1, 3, 3, 4, 0, 1, 3, 2, 2, 0, 2, 1, 0, 3, 0, 3, 1, 2, 4, 0, 4, 1, 4, 3, 1, 2, 3, 2, 4, 3, 1, 0, 4, 3, 3, 0, 4, 1, 3, 1, 3, 3, 2, 4, 4, 1, 1, 0, 1, 1, 2, 3, 4, 4, 3, 3, 3, 2, 0, 1, 2, 3, 3, 4, 4, 2, 4, 2, 1, 0, 1, 3, 4, 2, 0, 3, 2, 1, 3, 0, 3, 1, 4, 0, 0, 0, 4, 0, 3, 2, 3, 2, 3, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 4, 2, 3, 3, 3, 1, 2, 2, 0, 4, 0, 3, 2, 0, 4, 4, 4, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 0, 0, 4, 1, 2, 2, 2, 4, 4, 2, 1, 2, 3, 0, 2, 4, 4, 2, 1, 2, 3, 4, 3, 1, 1, 4, 1, 2, 1, 2, 1, 3, 2, 2, 0, 2, 4, 2, 1, 3, 3, 1, 3, 4, 1, 2, 2, 3, 2, 4, 1, 3, 0, 3, 3, 2, 1, 3, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 4, 1, 2, 4, 3, 4]
pubkeycol674 = [1, 3, 2, 1, 4, 2, 2, 2, 1, 4, 0, 3, 4, 0, 2, 0, 4, 1, 2, 2, 1, 0, 2, 4, 1, 4, 2, 1, 1, 2, 3, 0, 4, 4, 2, 4, 3, 1, 2, 1, 1, 1, 4, 0, 2, 2, 1, 2, 2, 1, 2, 3, 0, 1, 0, 2, 0, 1, 2, 1, 0, 3, 4, 2, 3, 3, 2, 4, 3, 1, 4, 3, 1, 1, 1, 0, 3, 3, 2, 1, 3, 1, 3, 3, 2, 1, 4, 3, 0, 3, 3, 0, 2, 3, 1, 0, 1, 1, 2, 0, 2, 4, 1, 4, 0, 1, 1, 1, 1, 0, 4, 2, 2, 2, 2, 0, 1, 0, 4, 2, 4, 4, 4, 1, 3, 1, 3, 1, 4, 2, 2, 2, 3, 2, 3, 1, 0, 2, 1, 0, 4, 0, 1, 3, 0, 0, 0, 1, 2, 1, 0, 4, 4, 2, 0, 4, 4, 2, 3, 3, 1, 1, 3, 3, 1, 0, 1, 0, 1, 0, 0, 4, 4, 0, 3, 2, 3, 0, 4, 2, 0, 1, 0, 1, 0, 2, 2, 3, 4, 1, 4, 3, 2, 3, 4, 1, 4, 2, 4, 3, 4, 2, 4, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 4, 2, 2, 0, 3, 3, 4, 3, 1, 1, 4, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 3, 1, 1, 2, 2, 3, 2, 0, 4, 4, 2, 1, 4, 0, 0, 3, 4, 4, 3, 4, 0, 4, 3, 4, 3, 1, 0, 2, 3, 4, 0, 1, 3, 1, 0, 1, 4, 2, 3, 1, 1, 4, 2, 4, 0, 4, 3, 4, 2, 2, 1, 3, 4, 1, 3, 2, 2, 1, 2, 4, 4, 2, 1, 2, 1, 2, 4, 3, 0, 0, 1, 0, 1, 4, 2, 4, 4, 4, 2, 3, 3, 1, 2, 3, 2]
pubkeycol675 = [3, 4, 4, 4, 2, 2, 3, 3, 3, 2, 4, 1, 2, 3, 0, 1, 3, 1, 2, 3, 4, 3, 0, 0, 4, 0, 2, 3, 2, 2, 1, 1, 2, 3, 0, 0, 0, 3, 3, 3, 1, 2, 2, 4, 4, 3, 4, 4, 1, 1, 2, 4, 1, 1, 2, 1, 2, 4, 0, 3, 2, 1, 1, 3, 4, 1, 1, 1, 0, 2, 1, 4, 2, 3, 1, 4, 4, 0, 1, 2, 2, 2, 0, 0, 2, 1, 4, 1, 4, 1, 3, 3, 0, 2, 4, 4, 4, 1, 3, 0, 2, 3, 0, 4, 2, 4, 1, 2, 1, 0, 1, 3, 4, 2, 2, 3, 3, 4, 3, 3, 2, 0, 2, 3, 3, 3, 2, 0, 2, 2, 4, 1, 0, 2, 2, 3, 0, 3, 4, 3, 2, 1, 4, 4, 3, 4, 0, 4, 2, 0, 3, 0, 4, 2, 1, 2, 1, 0, 3, 0, 4, 4, 1, 1, 2, 0, 0, 1, 0, 3, 0, 2, 2, 1, 4, 0, 1, 2, 1, 1, 4, 0, 1, 2, 3, 3, 0, 4, 1, 0, 4, 2, 0, 3, 0, 1, 3, 1, 1, 0, 4, 0, 1, 2, 3, 3, 2, 1, 1, 3, 4, 1, 0, 4, 4, 1, 3, 2, 3, 1, 1, 4, 3, 4, 4, 4, 4, 4, 4, 2, 4, 3, 2, 1, 3, 4, 1, 4, 3, 4, 4, 4, 2, 0, 2, 1, 3, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 3, 0, 3, 2, 1, 0, 4, 1, 3, 2, 3, 0, 2, 3, 1, 1, 4, 3, 2, 3, 0, 3, 3, 2, 0, 0, 3, 0, 0, 1, 0, 4, 4, 2, 1, 0, 0, 0, 2, 0, 3, 3, 3, 3, 4, 2, 1, 0, 4, 3, 2, 3, 2, 2, 2, 2, 0, 4, 2, 2, 1]
pubkeycol676 = [0, 1, 2, 4, 4, 3, 2, 0, 4, 0, 2, 2, 2, 3, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 2, 3, 4, 2, 2, 1, 0, 4, 3, 2, 4, 4, 3, 4, 1, 0, 2, 2, 4, 3, 1, 2, 2, 0, 2, 1, 2, 3, 1, 1, 1, 3, 3, 1, 2, 1, 0, 1, 3, 4, 1, 3, 2, 3, 4, 1, 1, 4, 3, 3, 0, 0, 0, 4, 3, 0, 1, 2, 1, 0, 1, 2, 2, 4, 0, 4, 0, 1, 3, 1, 3, 0, 3, 3, 2, 4, 0, 2, 0, 0, 0, 1, 3, 1, 1, 0, 2, 4, 1, 1, 2, 2, 3, 0, 2, 4, 2, 4, 3, 3, 0, 1, 3, 0, 0, 4, 4, 1, 1, 1, 4, 4, 1, 0, 1, 2, 0, 3, 4, 3, 3, 0, 1, 4, 2, 4, 0, 1, 4, 0, 0, 4, 3, 0, 0, 4, 4, 0, 0, 0, 3, 3, 1, 1, 1, 2, 3, 1, 1, 0, 2, 0, 3, 2, 3, 1, 3, 1, 1, 1, 4, 2, 3, 4, 3, 4, 1, 1, 4, 1, 2, 1, 3, 1, 0, 1, 2, 2, 2, 2, 2, 2, 4, 1, 4, 3, 1, 3, 0, 1, 4, 3, 0, 3, 0, 1, 1, 2, 4, 1, 3, 3, 4, 0, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 1, 0, 2, 3, 4, 1, 2, 0, 3, 2, 1, 0, 4, 2, 0, 3, 2, 1, 4, 0, 3, 3, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 3, 2, 0, 3, 1, 2, 0, 1, 1, 2, 2, 0, 1, 4, 0, 0, 1, 3, 3, 0, 4, 1, 1, 0, 4, 1, 4, 2, 0, 0, 3, 0, 1, 0, 2, 1, 4, 3, 3, 3, 3]
pubkeycol677 = [1, 4, 0, 0, 1, 0, 3, 3, 0, 2, 3, 4, 1, 2, 4, 2, 3, 1, 0, 1, 3, 2, 0, 3, 3, 1, 2, 1, 3, 4, 0, 3, 0, 1, 2, 0, 4, 4, 1, 1, 2, 3, 0, 0, 0, 2, 3, 3, 3, 2, 0, 0, 1, 0, 4, 1, 4, 4, 4, 0, 4, 0, 2, 2, 4, 1, 1, 1, 4, 2, 1, 1, 2, 0, 3, 3, 2, 2, 1, 2, 1, 2, 4, 3, 0, 1, 4, 3, 2, 3, 2, 1, 0, 0, 0, 3, 2, 3, 4, 4, 2, 4, 3, 2, 3, 1, 3, 1, 2, 1, 4, 1, 1, 1, 3, 4, 1, 2, 1, 0, 3, 0, 0, 0, 1, 0, 0, 2, 1, 2, 4, 1, 4, 3, 4, 1, 3, 0, 4, 3, 0, 4, 1, 3, 1, 3, 0, 1, 4, 1, 3, 0, 4, 1, 1, 4, 2, 1, 0, 2, 4, 4, 0, 0, 4, 1, 1, 0, 1, 4, 1, 0, 4, 4, 1, 4, 0, 1, 1, 3, 4, 0, 4, 2, 2, 4, 2, 3, 4, 2, 2, 2, 3, 3, 2, 0, 1, 2, 2, 1, 2, 4, 1, 1, 3, 4, 3, 0, 2, 2, 2, 1, 1, 2, 2, 2, 3, 1, 0, 3, 4, 4, 4, 4, 2, 4, 4, 1, 2, 4, 1, 2, 0, 2, 1, 0, 3, 3, 1, 3, 3, 1, 2, 1, 4, 4, 4, 0, 4, 0, 3, 3, 2, 3, 4, 2, 2, 2, 1, 1, 0, 4, 1, 4, 4, 2, 2, 0, 4, 2, 1, 3, 4, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 3, 1, 1, 0, 1, 1, 3, 4, 4, 0, 4, 2, 0, 4, 1, 0, 0, 4, 3, 1, 2, 4, 2, 0, 2, 0, 2, 2, 0, 3, 0, 4, 4, 1, 1, 0, 1]
pubkeycol678 = [4, 2, 2, 3, 4, 3, 1, 1, 4, 3, 4, 3, 1, 1, 2, 2, 4, 2, 4, 2, 3, 0, 3, 1, 3, 3, 4, 3, 0, 4, 0, 4, 1, 0, 1, 0, 4, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 4, 4, 0, 3, 3, 1, 2, 1, 1, 4, 1, 2, 1, 3, 4, 4, 1, 1, 1, 2, 3, 0, 4, 2, 3, 0, 2, 0, 3, 0, 3, 0, 0, 0, 1, 2, 4, 3, 2, 2, 1, 0, 2, 3, 1, 0, 4, 0, 3, 2, 2, 2, 4, 1, 3, 2, 3, 1, 3, 0, 3, 0, 0, 3, 2, 3, 4, 1, 3, 0, 0, 4, 3, 4, 3, 1, 0, 2, 4, 0, 2, 4, 1, 1, 1, 2, 2, 2, 4, 3, 3, 4, 3, 4, 2, 4, 2, 2, 1, 4, 1, 2, 3, 1, 1, 1, 3, 1, 4, 2, 4, 0, 3, 3, 4, 0, 1, 4, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 3, 3, 0, 2, 2, 4, 0, 1, 1, 4, 0, 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 0, 0, 0, 2, 0, 0, 0, 4, 3, 0, 0, 0, 2, 1, 1, 4, 4, 3, 4, 4, 3, 0, 3, 2, 3, 4, 2, 3, 0, 2, 4, 1, 2, 3, 4, 1, 4, 4, 1, 0, 0, 3, 3, 0, 1, 1, 0, 2, 4, 1, 2, 1, 1, 1, 3, 2, 2, 0, 1, 4, 1, 0, 2, 3, 1, 3, 2, 4, 4, 0, 4, 2, 2, 1, 1, 0, 3, 0, 2, 1, 1, 3, 0, 2, 1, 3, 4, 3, 0, 4, 3, 4, 3, 4, 0, 4, 4, 1, 4, 4, 4, 4, 2, 1, 0, 1, 4, 1, 3, 1, 2, 0, 0, 4, 4, 3, 1, 0, 1, 1, 0]
pubkeycol679 = [0, 3, 0, 4, 4, 2, 2, 3, 2, 3, 4, 0, 0, 1, 2, 3, 4, 2, 3, 2, 3, 0, 4, 4, 0, 3, 3, 3, 3, 4, 4, 4, 0, 4, 3, 4, 0, 2, 2, 0, 1, 2, 4, 0, 1, 4, 2, 4, 1, 1, 4, 2, 0, 2, 4, 4, 4, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 3, 4, 4, 2, 3, 1, 2, 0, 1, 2, 3, 0, 1, 3, 4, 1, 1, 0, 3, 4, 4, 2, 4, 1, 0, 4, 2, 3, 2, 3, 4, 0, 2, 4, 1, 0, 3, 4, 3, 1, 0, 0, 2, 4, 2, 4, 3, 4, 4, 3, 2, 2, 4, 2, 4, 3, 3, 0, 2, 0, 0, 4, 0, 4, 3, 1, 4, 0, 2, 2, 2, 3, 3, 2, 3, 4, 3, 0, 2, 1, 0, 4, 4, 3, 0, 1, 1, 4, 2, 4, 1, 3, 4, 1, 3, 0, 0, 0, 0, 2, 2, 1, 2, 3, 0, 2, 2, 2, 3, 2, 3, 3, 1, 3, 2, 2, 0, 1, 0, 3, 3, 3, 1, 2, 0, 2, 2, 2, 3, 3, 0, 4, 0, 1, 2, 2, 2, 1, 0, 4, 0, 4, 1, 2, 4, 1, 3, 1, 0, 4, 2, 2, 1, 1, 4, 4, 1, 2, 3, 4, 0, 3, 4, 2, 3, 1, 4, 3, 1, 4, 3, 0, 2, 3, 2, 2, 0, 1, 0, 2, 1, 3, 2, 0, 2, 2, 4, 3, 0, 2, 4, 3, 2, 2, 4, 0, 3, 2, 3, 2, 2, 0, 3, 3, 1, 1, 0, 1, 0, 4, 0, 4, 3, 3, 1, 4, 0, 4, 0, 3, 2, 4, 0, 1, 0, 1, 3, 1, 4, 3, 1, 1, 2, 0, 4, 0, 3, 2, 4, 3, 2, 2, 0, 1, 2, 4, 3, 1, 1, 1, 4, 2, 0]
pubkeycol680 = [1, 1, 4, 2, 1, 2, 1, 4, 3, 4, 1, 0, 0, 4, 1, 4, 1, 0, 0, 2, 4, 2, 4, 1, 3, 2, 2, 4, 4, 0, 3, 1, 0, 4, 4, 0, 4, 1, 0, 3, 0, 1, 4, 0, 2, 1, 3, 0, 3, 0, 0, 3, 1, 0, 4, 3, 1, 4, 2, 1, 3, 2, 1, 0, 0, 1, 2, 0, 3, 0, 4, 1, 2, 4, 0, 2, 4, 4, 3, 0, 4, 4, 2, 0, 0, 4, 1, 3, 3, 3, 3, 2, 3, 2, 3, 0, 2, 1, 1, 4, 4, 4, 2, 4, 2, 1, 2, 0, 1, 2, 1, 3, 1, 1, 0, 2, 1, 4, 0, 3, 2, 0, 4, 2, 0, 0, 0, 2, 0, 1, 4, 2, 0, 3, 3, 3, 2, 3, 0, 1, 4, 4, 3, 2, 4, 3, 0, 3, 4, 4, 4, 3, 2, 4, 2, 4, 4, 2, 2, 3, 1, 0, 3, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 3, 2, 2, 1, 4, 1, 3, 1, 2, 0, 0, 4, 3, 0, 1, 0, 2, 2, 1, 0, 0, 2, 4, 4, 2, 3, 0, 0, 3, 1, 1, 3, 2, 2, 2, 2, 1, 2, 1, 0, 1, 4, 0, 3, 2, 3, 0, 4, 0, 2, 3, 4, 2, 4, 1, 3, 3, 2, 2, 1, 3, 4, 2, 3, 4, 2, 4, 4, 3, 4, 0, 1, 4, 1, 1, 1, 2, 2, 0, 3, 2, 4, 0, 1, 3, 2, 1, 2, 1, 2, 3, 0, 3, 0, 3, 2, 3, 0, 2, 1, 1, 4, 1, 0, 2, 2, 3, 4, 3, 3, 3, 4, 4, 3, 3, 3, 0, 0, 3, 2, 2, 1, 0, 3, 0, 3, 2, 2, 0, 3, 4, 0, 2, 0, 1, 0, 2, 0, 3, 1, 2, 1, 3, 4, 3, 0, 4]
pubkeycol681 = [1, 3, 0, 4, 4, 2, 4, 1, 1, 1, 0, 2, 1, 0, 0, 1, 3, 0, 2, 2, 4, 4, 4, 2, 0, 0, 4, 2, 2, 4, 1, 4, 0, 3, 3, 3, 4, 1, 0, 4, 0, 4, 0, 3, 3, 1, 1, 3, 0, 0, 3, 3, 0, 2, 3, 2, 1, 4, 0, 4, 1, 1, 2, 3, 1, 1, 0, 4, 3, 4, 2, 3, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 3, 4, 4, 0, 2, 2, 0, 3, 2, 4, 4, 4, 3, 2, 4, 1, 1, 3, 4, 3, 0, 1, 1, 3, 4, 2, 0, 1, 3, 1, 2, 2, 4, 0, 1, 1, 4, 2, 3, 3, 3, 3, 4, 0, 1, 2, 0, 3, 1, 4, 3, 3, 0, 2, 4, 3, 4, 3, 3, 3, 1, 3, 0, 0, 1, 0, 2, 0, 2, 0, 4, 0, 4, 0, 1, 0, 1, 2, 4, 0, 2, 3, 0, 0, 3, 4, 1, 2, 3, 1, 3, 2, 0, 2, 3, 3, 2, 4, 3, 4, 3, 3, 2, 2, 4, 3, 4, 1, 4, 0, 3, 0, 4, 4, 4, 4, 3, 3, 3, 4, 2, 3, 3, 1, 3, 0, 3, 1, 4, 3, 4, 4, 1, 1, 0, 3, 4, 1, 0, 4, 4, 3, 3, 0, 3, 2, 2, 3, 3, 1, 2, 1, 1, 1, 3, 2, 3, 3, 2, 4, 0, 1, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 1, 2, 3, 1, 4, 1, 4, 1, 1, 4, 0, 0, 0, 0, 3, 4, 3, 4, 1, 0, 1, 2, 0, 2, 2, 3, 1, 3, 0, 1, 1, 4, 1, 4, 2, 4, 0, 4, 4, 0, 4, 1, 1, 4, 0, 0, 0, 4, 1, 0, 1, 0, 3, 2, 3, 4, 2, 2, 2]
pubkeycol682 = [0, 3, 4, 3, 3, 3, 3, 1, 4, 3, 0, 3, 1, 4, 1, 3, 0, 3, 0, 0, 0, 4, 0, 3, 3, 2, 3, 1, 1, 0, 2, 3, 4, 3, 2, 1, 3, 0, 1, 3, 1, 2, 0, 1, 3, 1, 2, 4, 0, 3, 0, 2, 4, 1, 1, 1, 4, 3, 1, 0, 4, 2, 4, 3, 4, 4, 4, 2, 0, 3, 4, 2, 1, 4, 3, 4, 2, 1, 3, 0, 3, 0, 1, 1, 4, 2, 2, 3, 4, 3, 3, 3, 1, 1, 4, 4, 0, 3, 2, 3, 0, 1, 2, 1, 0, 2, 3, 3, 3, 1, 0, 2, 1, 0, 2, 0, 0, 3, 0, 4, 2, 1, 3, 2, 3, 4, 1, 0, 4, 0, 4, 1, 1, 2, 1, 3, 0, 0, 0, 2, 2, 1, 3, 0, 4, 2, 2, 2, 4, 2, 1, 0, 3, 4, 1, 1, 0, 1, 0, 3, 0, 2, 3, 0, 3, 1, 4, 3, 2, 1, 4, 2, 4, 2, 0, 1, 3, 3, 0, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 4, 1, 4, 1, 4, 0, 1, 2, 3, 4, 4, 0, 4, 0, 1, 3, 3, 1, 2, 0, 2, 4, 0, 4, 1, 4, 0, 2, 4, 4, 4, 4, 3, 4, 1, 1, 1, 2, 4, 2, 1, 0, 3, 2, 4, 0, 1, 0, 0, 2, 0, 4, 1, 2, 4, 3, 2, 2, 3, 4, 3, 4, 3, 1, 4, 1, 2, 4, 1, 3, 3, 2, 4, 0, 2, 0, 0, 3, 4, 3, 1, 2, 3, 2, 2, 2, 3, 4, 4, 2, 0, 3, 4, 3, 4, 1, 1, 0, 0, 2, 1, 2, 4, 1, 4, 0, 0, 0, 2, 1, 0, 4, 2, 0, 2, 4, 4, 0, 1, 0, 1, 0, 0, 0, 1, 1, 4, 3, 1, 3, 1]
pubkeycol683 = [3, 4, 0, 4, 1, 2, 0, 3, 3, 1, 0, 0, 0, 2, 0, 4, 4, 0, 2, 0, 1, 3, 4, 1, 1, 3, 4, 4, 2, 2, 2, 4, 1, 2, 0, 4, 4, 3, 0, 3, 2, 4, 1, 2, 1, 2, 3, 0, 1, 4, 0, 2, 1, 0, 1, 0, 3, 3, 4, 3, 3, 4, 0, 2, 1, 2, 4, 0, 0, 0, 2, 2, 0, 3, 0, 0, 4, 2, 3, 0, 3, 3, 4, 1, 0, 2, 4, 2, 3, 1, 3, 0, 3, 4, 0, 1, 1, 3, 2, 2, 0, 0, 1, 4, 1, 3, 0, 0, 2, 4, 1, 4, 1, 4, 0, 2, 0, 4, 1, 2, 3, 0, 0, 2, 3, 1, 1, 2, 0, 2, 0, 4, 2, 1, 1, 4, 3, 2, 0, 2, 2, 3, 1, 4, 3, 4, 1, 3, 2, 3, 1, 4, 3, 0, 1, 4, 1, 0, 2, 4, 4, 4, 4, 2, 1, 1, 4, 2, 3, 1, 2, 2, 0, 1, 0, 1, 0, 3, 0, 2, 1, 0, 0, 1, 1, 1, 0, 4, 2, 4, 0, 0, 1, 4, 2, 4, 1, 3, 0, 2, 4, 1, 4, 1, 0, 2, 2, 1, 0, 2, 2, 3, 4, 4, 0, 4, 1, 3, 4, 4, 1, 0, 3, 3, 3, 4, 1, 1, 0, 1, 0, 1, 2, 2, 3, 0, 1, 1, 4, 4, 1, 4, 1, 2, 3, 4, 2, 4, 1, 1, 3, 1, 3, 1, 2, 1, 2, 3, 1, 2, 4, 1, 4, 2, 0, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 0, 2, 4, 2, 1, 0, 3, 3, 2, 4, 1, 1, 4, 4, 0, 0, 0, 4, 0, 1, 3, 4, 4, 3, 3, 3, 4, 3, 4, 4, 0, 0, 3, 2, 2, 0, 3, 1, 4, 4, 2, 3, 2, 4, 1]
pubkeycol684 = [3, 3, 0, 3, 2, 3, 4, 3, 1, 0, 4, 0, 4, 3, 1, 0, 0, 3, 2, 1, 1, 1, 2, 0, 4, 1, 4, 2, 0, 1, 2, 2, 1, 3, 0, 4, 3, 3, 3, 4, 0, 0, 4, 2, 2, 0, 3, 2, 2, 2, 2, 0, 2, 1, 3, 4, 4, 3, 2, 3, 4, 0, 2, 2, 3, 1, 3, 4, 2, 4, 3, 1, 1, 0, 3, 1, 1, 0, 2, 3, 4, 1, 4, 1, 4, 4, 1, 0, 4, 0, 2, 0, 4, 0, 1, 0, 0, 0, 3, 4, 1, 2, 4, 0, 3, 0, 0, 0, 2, 1, 1, 3, 3, 2, 3, 0, 4, 0, 2, 1, 4, 1, 4, 2, 4, 4, 3, 0, 0, 3, 1, 1, 0, 4, 4, 4, 0, 3, 4, 3, 0, 3, 0, 0, 0, 4, 3, 1, 2, 4, 2, 1, 3, 4, 2, 4, 0, 2, 2, 4, 3, 0, 0, 1, 2, 4, 1, 2, 2, 3, 1, 1, 1, 0, 3, 1, 4, 3, 0, 3, 1, 1, 1, 3, 4, 4, 0, 2, 0, 4, 3, 3, 3, 1, 0, 4, 0, 3, 1, 3, 0, 4, 0, 2, 3, 4, 4, 3, 0, 4, 2, 0, 2, 1, 4, 4, 3, 0, 4, 1, 2, 1, 2, 0, 1, 3, 1, 3, 3, 3, 3, 4, 3, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 3, 0, 3, 2, 2, 0, 0, 0, 0, 3, 0, 0, 4, 1, 3, 4, 1, 0, 3, 0, 3, 3, 1, 3, 0, 3, 2, 4, 1, 3, 1, 3, 1, 4, 0, 0, 1, 0, 0, 3, 4, 0, 3, 2, 3, 4, 4, 0, 2, 0, 0, 0, 2, 3, 1, 4, 4, 3, 2, 3, 1, 4, 0, 3, 3, 4, 2, 3, 1, 2, 1, 3, 1, 2, 1]
pubkeycol685 = [1, 0, 0, 1, 3, 0, 0, 3, 1, 2, 0, 3, 3, 4, 2, 0, 0, 2, 0, 4, 3, 3, 4, 1, 0, 0, 4, 1, 0, 1, 0, 0, 1, 4, 3, 4, 2, 1, 3, 0, 3, 4, 1, 2, 3, 1, 0, 4, 2, 0, 1, 2, 1, 1, 0, 2, 3, 3, 3, 2, 1, 1, 3, 0, 2, 3, 3, 0, 1, 3, 4, 4, 0, 0, 2, 2, 4, 2, 4, 2, 3, 0, 0, 0, 0, 1, 1, 4, 0, 4, 2, 2, 0, 2, 0, 0, 3, 3, 0, 0, 1, 2, 4, 2, 1, 4, 0, 3, 4, 0, 4, 0, 4, 1, 4, 2, 4, 3, 2, 3, 2, 3, 1, 2, 1, 4, 3, 0, 3, 2, 4, 1, 2, 4, 3, 1, 2, 0, 2, 2, 2, 0, 3, 3, 4, 0, 1, 4, 0, 1, 3, 0, 1, 1, 4, 1, 4, 4, 0, 1, 2, 2, 2, 4, 3, 4, 3, 4, 4, 0, 1, 3, 2, 3, 1, 2, 1, 3, 1, 1, 2, 4, 3, 2, 4, 0, 3, 1, 1, 3, 1, 0, 4, 1, 3, 4, 3, 0, 2, 2, 3, 3, 0, 2, 1, 4, 2, 3, 2, 1, 1, 1, 0, 2, 0, 2, 0, 4, 0, 1, 2, 4, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 3, 3, 1, 3, 3, 3, 3, 3, 4, 0, 0, 1, 4, 3, 4, 4, 3, 2, 3, 4, 1, 0, 0, 3, 0, 3, 3, 1, 2, 4, 0, 4, 2, 0, 1, 1, 0, 3, 0, 4, 0, 4, 1, 0, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 2, 2, 3, 0, 2, 3, 0, 4, 4, 4, 2, 1, 4, 1, 4, 0, 4, 2, 3, 0, 4, 3, 1, 3, 1, 0, 0, 3]
pubkeycol686 = [0, 0, 2, 2, 0, 4, 2, 4, 1, 2, 0, 4, 3, 1, 0, 4, 3, 4, 4, 3, 0, 2, 0, 4, 4, 1, 1, 3, 4, 3, 1, 1, 0, 1, 3, 0, 3, 0, 4, 0, 1, 2, 4, 2, 4, 4, 0, 0, 3, 2, 2, 3, 0, 0, 3, 1, 3, 4, 2, 1, 0, 4, 1, 1, 4, 2, 0, 2, 2, 3, 4, 4, 2, 4, 4, 4, 4, 4, 3, 1, 1, 4, 0, 1, 1, 3, 4, 3, 4, 2, 0, 2, 0, 1, 1, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 0, 3, 4, 0, 2, 1, 4, 0, 4, 4, 3, 0, 4, 3, 4, 1, 1, 3, 4, 4, 0, 4, 2, 1, 3, 4, 0, 4, 2, 2, 3, 2, 4, 1, 3, 3, 0, 2, 4, 4, 0, 3, 4, 1, 2, 4, 2, 4, 4, 4, 3, 2, 0, 4, 0, 4, 0, 3, 2, 0, 3, 3, 2, 1, 2, 0, 3, 0, 1, 0, 3, 2, 3, 0, 4, 1, 4, 1, 4, 4, 3, 0, 1, 3, 0, 4, 0, 2, 3, 0, 2, 1, 4, 2, 4, 0, 4, 3, 4, 0, 3, 1, 2, 1, 2, 1, 0, 3, 0, 1, 3, 2, 1, 1, 0, 3, 3, 1, 3, 4, 1, 3, 2, 0, 0, 3, 4, 0, 2, 3, 3, 0, 3, 3, 1, 1, 0, 2, 4, 1, 2, 2, 4, 4, 4, 4, 3, 0, 4, 4, 1, 0, 0, 2, 0, 4, 3, 3, 1, 2, 3, 0, 2, 2, 1, 3, 3, 3, 4, 4, 3, 3, 4, 0, 3, 3, 1, 4, 3, 2, 1, 4, 2, 2, 1, 2, 2, 0, 0, 4, 0, 0, 2, 4, 2, 0, 4, 0, 2, 2, 3, 0, 0, 4, 3, 3, 3, 2, 0, 4, 4, 0, 0, 0, 2]
pubkeycol687 = [4, 4, 0, 3, 2, 0, 3, 4, 4, 0, 3, 0, 0, 2, 3, 2, 4, 4, 3, 0, 1, 3, 2, 3, 2, 4, 1, 4, 0, 4, 1, 0, 4, 2, 1, 4, 3, 4, 2, 2, 2, 3, 0, 3, 3, 2, 4, 3, 1, 0, 2, 3, 2, 2, 1, 3, 0, 2, 0, 1, 2, 4, 3, 1, 4, 2, 4, 0, 3, 2, 4, 0, 3, 3, 1, 3, 0, 0, 3, 2, 2, 0, 0, 3, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 4, 0, 1, 1, 0, 3, 4, 4, 1, 2, 1, 1, 0, 3, 4, 4, 2, 0, 0, 4, 3, 2, 4, 4, 4, 0, 0, 4, 3, 4, 3, 4, 2, 0, 2, 0, 1, 2, 0, 3, 3, 3, 4, 2, 1, 0, 3, 0, 4, 3, 0, 4, 2, 3, 1, 2, 0, 2, 4, 1, 3, 1, 1, 3, 1, 4, 3, 0, 3, 4, 4, 1, 2, 4, 0, 1, 1, 4, 2, 2, 0, 3, 0, 1, 4, 3, 1, 4, 2, 3, 1, 0, 3, 1, 0, 2, 1, 3, 1, 3, 2, 3, 3, 4, 2, 4, 1, 4, 4, 1, 1, 2, 2, 0, 0, 4, 4, 0, 4, 4, 3, 4, 0, 2, 2, 4, 0, 2, 0, 1, 4, 0, 3, 0, 3, 0, 1, 4, 4, 4, 1, 0, 0, 3, 4, 2, 3, 4, 2, 0, 4, 4, 0, 1, 0, 2, 2, 1, 1, 1, 0, 3, 0, 4, 1, 1, 3, 3, 2, 1, 0, 0, 0, 2, 4, 2, 2, 0, 1, 3, 0, 3, 0, 4, 1, 3, 1, 3, 2, 2, 2, 3, 2, 0, 4, 3, 4, 1, 4, 4, 4, 1, 1, 0, 2, 0, 3, 4, 4, 1, 4, 1, 0, 3, 0, 2, 1, 2, 3, 3, 2, 0, 0, 0, 1, 0]
pubkeycol688 = [2, 0, 4, 4, 0, 4, 2, 0, 4, 1, 1, 3, 0, 1, 3, 3, 1, 0, 3, 0, 3, 1, 4, 2, 0, 4, 2, 0, 3, 3, 4, 0, 2, 3, 0, 0, 3, 3, 1, 2, 3, 0, 3, 4, 3, 1, 0, 4, 1, 4, 0, 4, 3, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 4, 0, 0, 4, 0, 0, 0, 2, 4, 0, 3, 3, 2, 2, 1, 0, 3, 0, 3, 2, 3, 2, 1, 3, 0, 0, 4, 0, 3, 4, 3, 1, 2, 3, 2, 2, 1, 2, 2, 0, 2, 3, 0, 2, 1, 3, 4, 2, 3, 0, 1, 0, 3, 0, 0, 2, 2, 4, 1, 0, 3, 2, 1, 3, 2, 1, 4, 0, 1, 2, 1, 1, 2, 4, 1, 1, 4, 0, 0, 1, 2, 4, 4, 3, 4, 4, 0, 3, 1, 2, 0, 0, 3, 3, 4, 2, 4, 0, 1, 3, 1, 0, 3, 2, 4, 0, 0, 3, 1, 1, 0, 0, 3, 3, 4, 2, 4, 1, 4, 2, 3, 3, 2, 4, 1, 3, 2, 0, 4, 3, 3, 4, 0, 3, 2, 3, 3, 0, 1, 0, 1, 4, 0, 3, 1, 2, 2, 3, 0, 0, 1, 0, 0, 0, 4, 1, 4, 2, 2, 2, 1, 2, 1, 1, 3, 0, 0, 2, 2, 4, 2, 4, 0, 1, 0, 0, 2, 3, 2, 3, 0, 4, 1, 3, 3, 3, 0, 2, 2, 2, 4, 2, 3, 1, 3, 1, 2, 1, 2, 0, 0, 1, 4, 3, 3, 3, 2, 2, 2, 0, 4, 3, 1, 1, 0, 2, 0, 1, 4, 1, 4, 4, 3, 0, 0, 2, 0, 4, 4, 3, 3, 4, 3, 2, 0, 0, 0, 2, 1, 1, 4, 1, 3, 0, 3, 1, 3, 4, 3, 4, 1, 1, 4, 3, 2, 2, 4]
pubkeycol689 = [0, 3, 4, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 4, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 4, 0, 4, 1, 2, 1, 0, 0, 1, 4, 3, 4, 0, 3, 0, 3, 0, 4, 0, 0, 0, 4, 1, 3, 2, 2, 4, 1, 3, 3, 4, 0, 2, 2, 2, 0, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 0, 0, 1, 1, 2, 0, 3, 1, 1, 1, 1, 4, 3, 2, 1, 2, 1, 4, 4, 2, 1, 3, 2, 1, 4, 2, 3, 1, 2, 2, 3, 4, 3, 3, 2, 2, 1, 1, 0, 4, 4, 0, 4, 3, 2, 4, 0, 4, 2, 4, 1, 2, 1, 4, 2, 0, 0, 1, 3, 1, 3, 4, 3, 0, 0, 1, 1, 3, 2, 1, 3, 0, 1, 0, 0, 0, 4, 3, 2, 1, 1, 0, 3, 3, 3, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 4, 0, 3, 0, 2, 2, 1, 1, 4, 3, 3, 2, 2, 2, 3, 0, 2, 1, 2, 2, 4, 3, 2, 1, 2, 3, 3, 1, 3, 3, 3, 2, 2, 1, 3, 2, 4, 4, 3, 0, 0, 0, 1, 1, 1, 0, 4, 1, 2, 4, 0, 0, 3, 1, 4, 4, 2, 4, 3, 4, 1, 1, 3, 0, 2, 1, 0, 4, 4, 2, 1, 4, 1, 3, 2, 4, 3, 1, 0, 4, 3, 2, 4, 3, 1, 2, 2, 2, 0, 0, 1, 4, 0, 3, 2, 1, 3, 2, 2, 1, 0, 1, 1, 3, 0, 3, 1, 4, 0, 0, 4, 3, 3, 1, 4, 0, 0, 1, 3, 4, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 4, 3, 2, 1, 4, 3, 0, 4, 3, 3, 0, 1, 2, 4, 1, 3]
pubkeycol690 = [4, 2, 0, 0, 1, 1, 2, 3, 2, 4, 2, 2, 2, 2, 0, 1, 1, 4, 0, 0, 4, 0, 1, 3, 4, 0, 4, 2, 0, 3, 3, 4, 2, 0, 0, 2, 2, 4, 1, 4, 3, 0, 3, 3, 0, 4, 0, 3, 3, 4, 2, 4, 0, 2, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 3, 0, 1, 3, 4, 1, 3, 0, 2, 3, 2, 4, 2, 1, 1, 3, 3, 2, 3, 2, 2, 4, 4, 4, 4, 4, 2, 0, 2, 3, 0, 2, 4, 2, 2, 4, 3, 3, 4, 4, 0, 2, 1, 2, 2, 3, 0, 1, 1, 1, 1, 4, 1, 2, 3, 4, 4, 0, 0, 1, 4, 4, 0, 4, 1, 0, 3, 3, 3, 4, 2, 2, 4, 0, 4, 0, 0, 2, 2, 1, 4, 0, 3, 0, 2, 0, 1, 4, 0, 4, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 4, 3, 2, 0, 3, 0, 3, 4, 3, 2, 2, 3, 1, 0, 1, 0, 4, 3, 3, 0, 4, 0, 0, 4, 1, 4, 0, 0, 2, 0, 1, 2, 4, 3, 4, 2, 3, 3, 2, 1, 0, 2, 0, 0, 0, 0, 1, 3, 4, 0, 4, 3, 0, 2, 0, 4, 3, 3, 3, 4, 4, 4, 4, 3, 1, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 4, 1, 4, 3, 4, 2, 1, 4, 0, 3, 2, 0, 2, 4, 0, 4, 0, 2, 2, 3, 1, 3, 4, 4, 3, 2, 1, 1, 3, 1, 4, 2, 3, 1, 2, 4, 2, 4, 4, 3, 0, 1, 2, 4, 4, 4, 2, 0, 0, 4, 3, 1, 2, 0, 3, 3, 3, 1, 3, 2, 0, 0, 0, 2, 4, 1, 3]
pubkeycol691 = [4, 4, 4, 4, 2, 2, 1, 4, 2, 1, 2, 1, 1, 1, 0, 4, 2, 2, 4, 2, 2, 1, 2, 0, 3, 3, 4, 2, 3, 2, 1, 1, 3, 4, 3, 3, 2, 4, 4, 0, 3, 2, 2, 3, 0, 2, 1, 1, 2, 1, 0, 1, 4, 4, 4, 4, 4, 2, 2, 4, 3, 1, 4, 0, 4, 0, 2, 1, 4, 4, 2, 2, 0, 4, 2, 3, 4, 0, 0, 4, 0, 3, 1, 3, 2, 2, 1, 0, 1, 0, 2, 4, 2, 1, 0, 0, 4, 2, 4, 2, 3, 1, 2, 3, 2, 4, 1, 4, 2, 3, 2, 4, 4, 0, 0, 1, 1, 2, 1, 0, 1, 1, 4, 0, 2, 4, 1, 4, 4, 4, 0, 1, 0, 4, 0, 2, 2, 3, 3, 4, 3, 2, 3, 2, 2, 4, 2, 2, 0, 0, 1, 2, 3, 3, 0, 4, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 4, 4, 4, 3, 4, 0, 2, 4, 0, 0, 0, 2, 2, 4, 4, 3, 0, 2, 2, 3, 1, 2, 1, 0, 0, 2, 1, 4, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 3, 0, 3, 0, 3, 1, 1, 3, 4, 2, 3, 3, 4, 2, 2, 0, 4, 4, 3, 2, 2, 3, 4, 1, 0, 4, 1, 2, 4, 4, 2, 4, 2, 1, 1, 3, 4, 3, 2, 0, 2, 0, 4, 4, 1, 1, 2, 0, 2, 1, 3, 3, 1, 4, 1, 4, 1, 1, 0, 1, 2, 1, 4, 3, 2, 3, 4, 2, 3, 0, 4, 1, 4, 1, 3, 1, 1, 2, 4, 2, 3, 0, 0, 1, 2, 2, 1, 2, 0, 4, 0, 4, 3, 2, 1, 1, 4, 0, 3, 4, 0, 2, 2, 0, 4, 2, 3, 0, 2, 3, 1, 2, 3, 1, 0]
pubkeycol692 = [4, 1, 3, 0, 1, 2, 4, 3, 4, 3, 3, 0, 0, 0, 1, 4, 1, 0, 3, 0, 3, 3, 4, 4, 1, 0, 3, 1, 0, 3, 2, 1, 3, 3, 1, 1, 1, 4, 3, 1, 4, 3, 2, 0, 4, 1, 4, 2, 3, 3, 2, 1, 2, 1, 0, 0, 2, 3, 3, 1, 3, 2, 3, 1, 2, 1, 2, 1, 2, 2, 0, 4, 2, 2, 1, 4, 3, 2, 1, 2, 4, 2, 0, 0, 4, 0, 1, 0, 4, 0, 1, 4, 2, 0, 3, 3, 0, 1, 1, 3, 3, 3, 4, 4, 0, 0, 3, 3, 4, 2, 2, 0, 1, 2, 2, 3, 2, 4, 2, 0, 4, 3, 3, 3, 1, 1, 4, 3, 3, 3, 1, 2, 4, 3, 0, 4, 0, 2, 0, 2, 4, 0, 4, 3, 2, 4, 2, 1, 2, 1, 0, 0, 3, 1, 1, 0, 1, 4, 0, 3, 1, 1, 3, 4, 0, 2, 4, 2, 4, 0, 3, 2, 1, 1, 3, 3, 3, 3, 3, 4, 0, 0, 4, 1, 2, 1, 0, 1, 3, 2, 3, 4, 2, 0, 1, 1, 2, 1, 1, 4, 0, 0, 4, 3, 0, 2, 0, 2, 2, 1, 0, 3, 4, 0, 3, 1, 2, 1, 4, 3, 3, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 3, 1, 4, 2, 3, 0, 4, 3, 4, 0, 2, 3, 1, 3, 0, 2, 0, 2, 1, 2, 3, 1, 1, 3, 0, 0, 0, 3, 3, 2, 2, 0, 4, 0, 0, 4, 0, 4, 1, 2, 1, 0, 1, 4, 2, 1, 3, 1, 0, 1, 3, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 3, 4, 1, 2, 1, 3, 4, 3, 1, 4, 1, 3, 3, 2, 1, 0, 2, 0, 0, 2, 2, 1]
pubkeycol693 = [3, 3, 0, 3, 0, 0, 2, 2, 1, 1, 3, 0, 3, 2, 4, 0, 2, 3, 0, 1, 3, 3, 3, 3, 3, 3, 4, 0, 2, 2, 1, 4, 4, 0, 0, 4, 1, 1, 4, 0, 4, 2, 4, 4, 3, 4, 0, 3, 4, 4, 1, 4, 3, 3, 0, 2, 0, 0, 0, 0, 0, 1, 0, 4, 2, 2, 3, 1, 0, 4, 3, 1, 0, 4, 2, 2, 2, 0, 0, 2, 3, 0, 0, 4, 3, 4, 4, 4, 1, 3, 0, 0, 1, 2, 0, 1, 0, 0, 2, 4, 0, 0, 1, 1, 1, 0, 4, 3, 1, 1, 3, 4, 0, 4, 0, 4, 1, 0, 0, 1, 4, 4, 4, 3, 4, 0, 2, 0, 1, 3, 0, 2, 1, 4, 1, 0, 1, 2, 1, 2, 2, 1, 3, 1, 3, 1, 2, 1, 2, 2, 0, 2, 2, 4, 4, 2, 3, 1, 1, 2, 1, 0, 1, 2, 3, 2, 2, 0, 2, 2, 4, 0, 0, 0, 2, 1, 2, 3, 4, 0, 1, 1, 0, 4, 0, 4, 3, 2, 4, 1, 0, 4, 4, 1, 2, 4, 0, 4, 0, 1, 4, 4, 4, 3, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 3, 3, 4, 2, 4, 2, 3, 4, 3, 1, 4, 2, 0, 4, 1, 0, 2, 2, 3, 0, 0, 0, 2, 2, 2, 4, 3, 2, 4, 1, 0, 2, 2, 3, 2, 1, 4, 2, 2, 2, 2, 4, 1, 0, 0, 2, 0, 3, 1, 0, 4, 4, 0, 1, 4, 0, 1, 3, 4, 3, 4, 2, 0, 4, 3, 3, 4, 2, 0, 1, 3, 2, 1, 0, 2, 3, 4, 2, 2, 2, 4, 3, 4, 1, 0, 0, 4, 1, 0, 4, 2, 3, 4, 0, 4, 3, 3, 0, 1, 1, 4, 1, 2]
pubkeycol694 = [0, 1, 4, 4, 4, 4, 3, 3, 3, 4, 2, 4, 1, 2, 4, 4, 3, 1, 4, 4, 1, 1, 1, 4, 4, 4, 4, 1, 0, 1, 3, 2, 3, 1, 1, 2, 1, 0, 2, 1, 1, 0, 3, 2, 2, 4, 1, 1, 0, 4, 0, 1, 1, 0, 3, 2, 4, 0, 3, 3, 0, 3, 4, 3, 3, 0, 1, 2, 4, 3, 4, 1, 0, 0, 2, 1, 0, 1, 4, 1, 1, 0, 1, 0, 1, 1, 4, 1, 3, 0, 2, 0, 0, 0, 1, 3, 0, 1, 3, 3, 3, 4, 1, 2, 1, 1, 3, 3, 0, 1, 3, 1, 2, 1, 4, 0, 0, 0, 4, 2, 1, 1, 1, 3, 2, 4, 4, 2, 1, 3, 4, 0, 3, 1, 2, 4, 4, 1, 3, 4, 1, 0, 3, 0, 4, 0, 0, 0, 3, 1, 2, 0, 1, 1, 3, 3, 2, 4, 3, 0, 3, 4, 1, 3, 4, 0, 1, 2, 0, 2, 4, 0, 1, 2, 3, 4, 4, 4, 0, 3, 2, 1, 1, 0, 4, 4, 3, 4, 4, 3, 0, 0, 4, 4, 3, 0, 2, 2, 1, 3, 3, 3, 0, 0, 0, 2, 3, 1, 3, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 4, 2, 2, 4, 3, 3, 0, 2, 3, 1, 2, 4, 4, 0, 0, 0, 1, 4, 0, 2, 0, 3, 3, 3, 1, 0, 0, 4, 1, 4, 1, 4, 4, 0, 1, 4, 0, 0, 2, 0, 4, 1, 4, 0, 2, 4, 1, 3, 1, 3, 0, 0, 1, 3, 1, 1, 1, 3, 1, 4, 4, 1, 3, 1, 0, 3, 0, 0, 1, 0, 1, 1, 3, 1, 0, 3, 3, 3, 2, 0, 3, 4, 2, 2, 0, 4, 0, 4, 4, 0, 4, 2, 3, 2, 0, 2, 1, 4, 4, 3, 2]
pubkeycol695 = [4, 4, 2, 0, 4, 4, 1, 4, 3, 3, 1, 3, 0, 2, 4, 4, 0, 0, 4, 2, 4, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 4, 3, 1, 3, 3, 4, 4, 3, 4, 1, 4, 2, 1, 0, 4, 3, 3, 0, 4, 0, 4, 0, 1, 3, 4, 2, 2, 3, 3, 3, 1, 4, 3, 0, 3, 2, 4, 1, 4, 3, 1, 4, 2, 0, 0, 2, 0, 1, 4, 0, 1, 3, 4, 1, 4, 1, 3, 3, 2, 2, 0, 4, 4, 2, 1, 1, 4, 3, 4, 1, 4, 0, 3, 0, 1, 3, 3, 1, 1, 3, 2, 3, 0, 3, 2, 0, 1, 3, 1, 2, 3, 1, 0, 3, 3, 0, 2, 1, 1, 2, 1, 4, 3, 1, 2, 1, 0, 4, 4, 2, 3, 0, 4, 0, 1, 3, 3, 0, 2, 2, 1, 0, 4, 2, 2, 2, 1, 3, 3, 2, 3, 4, 4, 3, 0, 0, 0, 0, 0, 3, 2, 3, 0, 1, 1, 3, 2, 1, 4, 2, 1, 1, 4, 1, 3, 1, 2, 1, 2, 2, 4, 4, 4, 4, 4, 0, 4, 2, 2, 0, 2, 2, 0, 1, 0, 1, 3, 0, 4, 3, 2, 0, 2, 3, 1, 0, 0, 1, 3, 2, 3, 3, 0, 3, 2, 4, 4, 4, 2, 4, 4, 0, 2, 4, 2, 4, 3, 1, 3, 4, 4, 3, 4, 4, 1, 0, 3, 4, 1, 4, 2, 2, 0, 3, 2, 3, 1, 4, 2, 2, 4, 3, 0, 4, 3, 3, 4, 3, 4, 1, 3, 4, 4, 2, 0, 4, 4, 0, 4, 0, 4, 3, 3, 0, 4, 2, 1, 3, 0, 0, 3, 2, 3, 0, 3, 4, 1, 4, 1, 4, 2, 4, 2, 3, 2, 1, 1, 1, 3, 3, 2, 0, 0, 4, 3, 1, 1, 0]
pubkeycol696 = [1, 1, 3, 4, 0, 3, 3, 1, 4, 1, 2, 3, 1, 4, 0, 4, 3, 1, 0, 1, 0, 0, 3, 2, 2, 0, 3, 0, 0, 0, 2, 3, 2, 3, 2, 3, 2, 2, 4, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 2, 1, 4, 3, 2, 1, 4, 1, 2, 4, 3, 0, 3, 4, 4, 0, 4, 3, 4, 2, 0, 4, 3, 3, 3, 1, 4, 2, 4, 1, 3, 0, 1, 1, 4, 0, 0, 0, 0, 3, 1, 4, 4, 2, 4, 4, 0, 3, 0, 2, 2, 4, 0, 2, 4, 3, 0, 2, 3, 4, 2, 4, 0, 2, 2, 2, 3, 4, 1, 0, 2, 1, 1, 3, 4, 2, 4, 3, 2, 2, 0, 0, 1, 4, 1, 1, 4, 1, 4, 1, 0, 3, 0, 1, 2, 2, 1, 0, 1, 0, 4, 0, 1, 2, 1, 0, 4, 0, 2, 0, 3, 1, 4, 3, 4, 3, 4, 0, 2, 3, 0, 3, 1, 3, 0, 3, 1, 1, 4, 0, 1, 2, 2, 4, 0, 3, 0, 3, 3, 1, 2, 3, 4, 3, 1, 2, 0, 0, 1, 3, 2, 1, 1, 4, 4, 1, 0, 2, 2, 4, 0, 1, 0, 1, 3, 1, 4, 0, 1, 3, 4, 0, 2, 1, 1, 3, 2, 2, 0, 0, 0, 4, 4, 2, 0, 4, 0, 1, 0, 1, 2, 3, 1, 3, 1, 0, 4, 4, 0, 2, 2, 3, 4, 2, 1, 0, 1, 2, 2, 2, 4, 0, 3, 3, 0, 1, 4, 2, 1, 1, 3, 4, 2, 1, 1, 3, 4, 4, 2, 0, 2, 2, 0, 4, 2, 3, 4, 1, 0, 3, 3, 4, 2, 4, 2, 1, 4, 1, 4, 2, 0, 1, 0, 1, 0, 4, 4, 3, 3, 0, 4, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2]
pubkeycol697 = [4, 4, 4, 3, 0, 0, 2, 4, 4, 0, 1, 3, 2, 1, 2, 4, 2, 3, 0, 1, 3, 3, 1, 4, 0, 4, 1, 4, 2, 0, 4, 2, 3, 2, 1, 0, 0, 3, 4, 0, 3, 0, 3, 0, 4, 4, 3, 1, 3, 0, 1, 2, 0, 4, 4, 4, 0, 3, 3, 3, 3, 4, 3, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 4, 2, 1, 3, 4, 0, 0, 4, 3, 1, 3, 0, 2, 2, 0, 4, 0, 4, 2, 0, 3, 2, 3, 4, 3, 4, 0, 3, 4, 4, 4, 3, 0, 2, 1, 2, 2, 0, 2, 2, 3, 2, 4, 3, 4, 2, 3, 2, 0, 1, 1, 4, 0, 2, 2, 0, 4, 2, 1, 0, 1, 3, 1, 0, 0, 2, 3, 1, 1, 2, 0, 0, 0, 2, 3, 0, 3, 4, 0, 4, 0, 4, 3, 1, 1, 4, 4, 2, 2, 1, 2, 0, 2, 1, 3, 0, 4, 0, 2, 2, 3, 0, 2, 2, 2, 2, 4, 1, 2, 0, 2, 3, 1, 2, 3, 4, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 3, 1, 4, 2, 0, 4, 1, 1, 2, 0, 2, 3, 1, 4, 2, 3, 3, 3, 4, 2, 4, 1, 3, 1, 1, 2, 3, 1, 4, 3, 4, 3, 2, 0, 3, 1, 1, 4, 2, 2, 1, 2, 2, 2, 0, 0, 1, 4, 2, 4, 1, 3, 2, 1, 4, 0, 0, 2, 4, 2, 4, 2, 2, 0, 2, 1, 0, 3, 2, 4, 0, 4, 3, 2, 4, 3, 2, 3, 2, 3, 1, 0, 0, 2, 2, 0, 3, 1, 0, 0, 0, 2, 0, 1, 3, 4, 3, 0, 2, 1, 1, 0, 4, 4, 2, 2, 4, 3, 4, 1, 0, 4, 1, 4, 1, 2, 4, 4, 1, 1, 0]
pubkeycol698 = [2, 0, 4, 2, 0, 1, 3, 1, 0, 3, 4, 2, 0, 4, 3, 2, 0, 3, 3, 1, 4, 0, 1, 3, 0, 1, 3, 1, 3, 3, 1, 1, 1, 3, 4, 4, 4, 0, 2, 4, 4, 4, 0, 3, 1, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 4, 2, 2, 0, 1, 0, 3, 2, 2, 4, 1, 3, 4, 3, 3, 1, 1, 2, 0, 1, 0, 2, 3, 1, 3, 2, 4, 4, 2, 0, 1, 3, 1, 0, 2, 2, 2, 0, 1, 4, 3, 1, 3, 1, 4, 0, 1, 1, 4, 4, 0, 3, 0, 4, 0, 0, 3, 2, 1, 1, 2, 3, 3, 3, 3, 3, 2, 2, 1, 1, 2, 0, 1, 4, 0, 0, 2, 3, 3, 4, 3, 0, 2, 1, 1, 3, 3, 4, 2, 3, 0, 3, 0, 3, 1, 2, 2, 2, 2, 3, 1, 0, 4, 4, 0, 3, 2, 4, 2, 1, 2, 2, 3, 0, 1, 0, 3, 2, 2, 4, 4, 2, 3, 1, 4, 4, 4, 0, 2, 3, 1, 4, 2, 4, 0, 4, 4, 3, 4, 3, 0, 3, 2, 3, 0, 3, 1, 4, 4, 1, 4, 4, 2, 0, 4, 2, 1, 3, 0, 2, 4, 4, 3, 4, 1, 2, 3, 0, 0, 4, 4, 1, 3, 3, 3, 4, 0, 4, 1, 0, 0, 1, 2, 2, 4, 4, 0, 1, 4, 0, 1, 3, 2, 2, 3, 1, 1, 0, 1, 3, 1, 0, 2, 2, 2, 1, 0, 4, 0, 4, 0, 0, 2, 2, 2, 4, 2, 1, 0, 0, 0, 4, 1, 1, 3, 4, 0, 0, 2, 4, 4, 3, 0, 0, 1, 1, 4, 3, 2, 2, 3, 4, 2, 1, 2, 0, 3, 3, 0, 2, 1, 4, 0, 4, 2, 4, 2, 2, 1, 3, 3, 2, 2, 3, 2]
pubkeycol699 = [1, 2, 4, 1, 0, 1, 4, 1, 3, 0, 4, 3, 2, 0, 1, 0, 3, 2, 0, 2, 1, 2, 0, 3, 4, 4, 3, 4, 3, 0, 1, 0, 2, 2, 2, 2, 0, 3, 1, 2, 4, 0, 1, 2, 1, 4, 4, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 3, 0, 1, 0, 0, 2, 4, 2, 4, 3, 0, 4, 2, 2, 4, 1, 0, 2, 4, 0, 0, 2, 1, 1, 3, 4, 4, 4, 4, 2, 1, 2, 0, 2, 0, 3, 1, 1, 4, 0, 2, 4, 1, 1, 0, 4, 4, 0, 0, 4, 2, 0, 3, 4, 2, 1, 4, 4, 0, 4, 1, 1, 1, 4, 4, 3, 4, 0, 1, 2, 3, 2, 1, 3, 0, 4, 3, 1, 4, 1, 3, 4, 0, 4, 3, 1, 1, 1, 4, 4, 3, 3, 0, 1, 0, 0, 3, 1, 1, 4, 2, 0, 1, 1, 4, 1, 4, 1, 3, 2, 1, 0, 4, 4, 1, 0, 4, 4, 2, 0, 0, 3, 2, 2, 0, 3, 1, 1, 1, 4, 2, 4, 2, 1, 0, 2, 4, 4, 3, 2, 4, 0, 4, 2, 4, 2, 3, 4, 3, 2, 4, 4, 2, 3, 4, 0, 3, 1, 3, 4, 2, 1, 4, 2, 3, 2, 2, 1, 3, 2, 2, 0, 1, 4, 4, 4, 1, 4, 1, 3, 4, 1, 2, 3, 3, 2, 4, 2, 4, 0, 3, 4, 1, 2, 1, 0, 1, 3, 2, 0, 4, 4, 3, 3, 4, 4, 3, 0, 3, 2, 0, 2, 1, 0, 3, 2, 4, 0, 2, 2, 2, 1, 3, 1, 0, 4, 0, 4, 4, 2, 3, 3, 2, 0, 0, 0, 1, 0, 0, 4, 0, 4, 2, 3, 1, 1, 0, 2, 3, 2, 0, 1, 1, 2, 2, 1, 3, 1, 0, 4, 0, 3, 3]
pubkeycol700 = [2, 1, 3, 4, 0, 3, 4, 0, 0, 1, 4, 3, 1, 4, 0, 1, 2, 1, 4, 1, 0, 4, 0, 1, 0, 3, 0, 1, 1, 1, 3, 0, 2, 3, 0, 2, 2, 4, 1, 3, 2, 1, 0, 1, 2, 4, 4, 3, 3, 2, 3, 0, 4, 1, 4, 4, 3, 1, 1, 0, 4, 2, 0, 4, 4, 1, 1, 2, 3, 0, 4, 2, 2, 0, 3, 2, 4, 4, 1, 3, 1, 4, 2, 0, 3, 1, 0, 0, 4, 4, 2, 1, 0, 2, 3, 0, 2, 2, 4, 3, 2, 4, 3, 0, 1, 4, 4, 4, 2, 1, 3, 0, 3, 4, 4, 4, 2, 4, 4, 0, 4, 2, 2, 2, 2, 1, 1, 4, 2, 0, 2, 4, 0, 2, 4, 1, 0, 2, 4, 2, 2, 1, 4, 1, 0, 1, 0, 4, 2, 0, 1, 1, 1, 1, 4, 1, 1, 3, 2, 2, 4, 0, 1, 0, 1, 1, 3, 2, 3, 1, 2, 1, 4, 4, 4, 3, 4, 1, 3, 0, 1, 2, 4, 0, 4, 1, 2, 0, 4, 0, 3, 4, 4, 0, 4, 1, 4, 0, 0, 3, 4, 4, 3, 2, 0, 4, 1, 2, 2, 2, 3, 1, 2, 0, 2, 3, 1, 4, 3, 1, 4, 0, 1, 3, 2, 3, 0, 4, 0, 0, 3, 1, 0, 0, 2, 1, 2, 1, 2, 4, 0, 4, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 4, 4, 1, 0, 0, 1, 4, 0, 4, 1, 4, 1, 2, 4, 0, 0, 0, 3, 1, 1, 0, 4, 2, 0, 3, 0, 1, 4, 3, 3, 4, 3, 4, 1, 2, 1, 2, 1, 4, 2, 1, 1, 0, 1, 0, 2, 3, 0, 1, 4, 0, 2, 2, 2, 3, 0, 1, 2, 1, 3, 0, 0, 2, 2, 1, 1, 4, 0]
pubkeycol701 = [2, 3, 0, 3, 3, 4, 2, 1, 2, 0, 0, 4, 3, 1, 4, 0, 0, 1, 2, 3, 1, 3, 4, 0, 0, 0, 4, 0, 4, 2, 1, 3, 1, 2, 4, 0, 0, 1, 1, 2, 0, 3, 0, 0, 4, 1, 4, 2, 4, 0, 4, 4, 2, 3, 1, 0, 1, 1, 4, 1, 0, 1, 3, 3, 4, 4, 4, 2, 1, 1, 4, 0, 3, 1, 3, 2, 3, 4, 3, 4, 4, 3, 4, 4, 2, 2, 4, 4, 1, 2, 4, 2, 2, 1, 1, 0, 4, 1, 3, 3, 4, 3, 3, 3, 0, 0, 2, 2, 0, 2, 1, 3, 0, 0, 1, 0, 2, 1, 3, 3, 0, 3, 1, 1, 3, 1, 1, 1, 4, 4, 1, 0, 1, 2, 1, 3, 1, 0, 1, 2, 4, 3, 3, 3, 1, 1, 3, 4, 1, 1, 3, 1, 3, 1, 1, 4, 3, 1, 4, 0, 2, 3, 0, 1, 0, 2, 0, 2, 2, 4, 0, 2, 2, 1, 1, 3, 3, 2, 2, 2, 2, 2, 4, 3, 4, 1, 2, 0, 0, 1, 0, 0, 2, 3, 3, 0, 4, 0, 1, 2, 0, 4, 2, 0, 2, 1, 3, 0, 2, 1, 4, 4, 4, 4, 1, 2, 2, 0, 2, 2, 1, 2, 1, 3, 2, 1, 0, 1, 1, 3, 1, 4, 4, 2, 1, 0, 0, 4, 2, 2, 3, 3, 2, 4, 0, 2, 0, 2, 4, 3, 2, 4, 2, 0, 3, 4, 1, 4, 1, 1, 3, 2, 1, 0, 1, 2, 4, 1, 2, 2, 2, 1, 0, 2, 3, 2, 0, 1, 4, 4, 0, 4, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, 2, 4, 2, 1, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 4, 4, 1, 3, 4, 3, 3, 3, 2, 3, 3, 0, 0, 0]
pubkeycol702 = [1, 4, 1, 1, 1, 3, 0, 2, 4, 1, 2, 3, 3, 3, 0, 4, 4, 3, 2, 1, 3, 3, 1, 4, 1, 1, 3, 1, 3, 2, 3, 3, 4, 1, 3, 1, 1, 3, 0, 4, 1, 4, 4, 2, 3, 1, 0, 1, 0, 2, 3, 0, 3, 2, 1, 0, 0, 2, 0, 0, 1, 3, 0, 1, 1, 0, 3, 0, 4, 1, 2, 1, 2, 4, 3, 2, 3, 4, 1, 3, 0, 2, 1, 1, 0, 1, 4, 4, 3, 4, 3, 0, 2, 2, 3, 2, 3, 0, 2, 3, 3, 1, 3, 2, 4, 0, 2, 0, 3, 1, 0, 1, 4, 0, 1, 0, 0, 2, 4, 0, 0, 3, 2, 1, 2, 4, 4, 1, 2, 3, 4, 0, 2, 4, 3, 0, 4, 3, 3, 4, 3, 1, 2, 2, 2, 3, 0, 2, 4, 4, 1, 2, 0, 4, 2, 3, 3, 3, 1, 2, 4, 1, 2, 4, 0, 1, 1, 3, 3, 1, 3, 3, 1, 2, 4, 0, 1, 1, 4, 1, 2, 3, 3, 2, 0, 3, 4, 4, 1, 0, 4, 0, 4, 2, 2, 1, 0, 2, 3, 0, 2, 2, 2, 4, 3, 2, 0, 1, 0, 3, 1, 4, 2, 0, 2, 3, 4, 2, 3, 2, 0, 4, 2, 1, 4, 2, 2, 0, 0, 0, 3, 4, 2, 0, 0, 3, 1, 3, 0, 0, 1, 0, 3, 4, 2, 1, 1, 3, 2, 1, 1, 4, 0, 3, 1, 2, 0, 4, 2, 1, 3, 0, 1, 1, 1, 4, 3, 4, 1, 1, 4, 1, 3, 0, 4, 3, 2, 2, 4, 2, 1, 4, 1, 4, 1, 1, 3, 3, 0, 3, 1, 4, 2, 1, 0, 3, 1, 0, 3, 1, 0, 3, 4, 4, 3, 4, 1, 1, 1, 0, 1, 1, 1, 3, 2, 4, 2, 4, 0, 1]
pubkeycol703 = [1, 1, 3, 3, 2, 0, 2, 3, 2, 4, 1, 3, 1, 0, 1, 1, 0, 1, 1, 4, 4, 1, 4, 1, 0, 3, 1, 0, 2, 0, 1, 1, 4, 2, 0, 2, 3, 1, 0, 2, 1, 3, 2, 4, 3, 3, 4, 3, 2, 0, 3, 1, 4, 3, 0, 2, 4, 3, 3, 3, 3, 0, 0, 3, 4, 3, 2, 0, 0, 4, 4, 0, 3, 4, 3, 1, 2, 3, 2, 3, 3, 4, 4, 1, 1, 4, 0, 0, 4, 3, 0, 2, 1, 2, 0, 4, 1, 2, 3, 2, 0, 2, 0, 2, 2, 1, 2, 3, 1, 4, 1, 1, 2, 1, 0, 4, 3, 3, 0, 3, 2, 0, 0, 0, 3, 2, 3, 4, 0, 4, 3, 3, 3, 3, 0, 1, 0, 3, 4, 4, 2, 3, 3, 4, 2, 3, 1, 4, 3, 0, 3, 4, 3, 3, 0, 2, 2, 4, 4, 0, 1, 0, 0, 2, 0, 3, 2, 2, 1, 3, 4, 3, 0, 0, 0, 1, 1, 3, 4, 3, 3, 1, 0, 0, 3, 3, 3, 3, 3, 3, 4, 0, 0, 2, 1, 2, 2, 4, 1, 1, 2, 3, 2, 2, 4, 4, 1, 1, 2, 4, 1, 1, 4, 4, 2, 4, 1, 2, 1, 4, 1, 2, 1, 3, 0, 1, 2, 3, 4, 4, 2, 4, 0, 3, 1, 2, 3, 2, 4, 4, 3, 2, 2, 3, 0, 1, 2, 0, 0, 1, 2, 4, 4, 4, 0, 1, 1, 4, 0, 1, 2, 0, 3, 2, 1, 0, 4, 4, 4, 3, 3, 3, 2, 4, 3, 2, 3, 2, 0, 1, 0, 1, 4, 1, 3, 2, 1, 3, 3, 4, 3, 3, 0, 2, 3, 3, 4, 0, 4, 1, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 0, 2, 4, 2, 4, 3, 0]
pubkeycol704 = [1, 1, 3, 3, 2, 3, 4, 3, 3, 2, 1, 1, 4, 0, 4, 2, 1, 4, 0, 4, 0, 1, 4, 1, 3, 1, 4, 4, 0, 3, 3, 4, 1, 1, 0, 4, 2, 2, 0, 3, 3, 0, 4, 4, 3, 2, 1, 4, 4, 2, 1, 3, 0, 1, 3, 4, 3, 4, 1, 3, 2, 4, 3, 0, 3, 1, 1, 3, 3, 2, 0, 2, 0, 0, 4, 1, 0, 2, 0, 3, 2, 0, 2, 4, 2, 1, 1, 0, 4, 4, 2, 4, 4, 2, 1, 3, 4, 0, 0, 3, 1, 1, 1, 3, 0, 0, 2, 2, 3, 0, 0, 2, 4, 4, 4, 0, 1, 0, 3, 3, 3, 0, 4, 2, 3, 1, 0, 4, 4, 1, 3, 0, 0, 3, 3, 0, 2, 1, 0, 2, 2, 2, 3, 4, 3, 2, 2, 1, 0, 3, 2, 1, 1, 4, 1, 1, 3, 2, 3, 0, 4, 2, 2, 4, 2, 3, 3, 4, 4, 2, 2, 1, 2, 0, 0, 2, 2, 2, 3, 3, 4, 4, 1, 2, 2, 0, 3, 3, 3, 4, 0, 2, 1, 3, 0, 4, 2, 4, 4, 0, 0, 1, 1, 3, 4, 0, 0, 4, 1, 4, 2, 3, 3, 0, 4, 4, 2, 4, 0, 3, 0, 4, 2, 2, 0, 1, 0, 1, 0, 0, 3, 0, 0, 2, 1, 1, 3, 2, 3, 3, 2, 0, 3, 4, 3, 4, 1, 2, 4, 3, 1, 0, 4, 0, 0, 4, 4, 4, 1, 3, 2, 4, 2, 1, 1, 3, 1, 2, 2, 0, 0, 1, 3, 4, 0, 4, 0, 2, 2, 3, 1, 1, 2, 4, 0, 3, 2, 4, 0, 3, 2, 2, 4, 0, 0, 4, 4, 1, 0, 0, 0, 2, 0, 4, 4, 4, 2, 1, 0, 4, 3, 0, 3, 2, 1, 4, 1, 1, 1, 2]
pubkeycol705 = [3, 4, 0, 2, 3, 1, 0, 2, 3, 2, 2, 2, 2, 3, 1, 0, 3, 4, 0, 2, 0, 4, 3, 3, 4, 3, 2, 0, 2, 3, 4, 4, 2, 3, 3, 0, 3, 3, 3, 2, 0, 4, 4, 2, 3, 2, 3, 4, 1, 1, 4, 2, 3, 0, 4, 2, 3, 0, 4, 3, 4, 4, 2, 4, 2, 1, 3, 1, 4, 0, 1, 3, 2, 3, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 4, 2, 4, 2, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 4, 0, 2, 1, 4, 1, 3, 3, 2, 0, 2, 0, 4, 1, 1, 3, 0, 3, 0, 2, 2, 2, 0, 3, 4, 4, 4, 4, 2, 2, 3, 2, 4, 2, 3, 1, 4, 0, 0, 3, 3, 2, 2, 4, 2, 2, 3, 3, 2, 2, 0, 2, 2, 2, 1, 4, 2, 3, 3, 1, 0, 0, 1, 3, 0, 0, 1, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 0, 1, 1, 3, 1, 1, 2, 4, 0, 0, 3, 3, 1, 0, 3, 3, 1, 1, 2, 1, 4, 4, 4, 2, 0, 4, 2, 0, 1, 1, 1, 0, 3, 3, 3, 4, 4, 4, 4, 2, 3, 3, 4, 1, 1, 1, 4, 4, 0, 3, 4, 4, 1, 4, 2, 4, 4, 0, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 2, 0, 4, 0, 4, 2, 0, 4, 0, 2, 4, 1, 1, 4, 2, 3, 1, 4, 3, 0, 3, 3, 1, 1, 0, 3, 4, 3, 1, 0, 2, 3, 0, 2, 1, 1, 4, 0, 1, 0, 3, 0, 3, 4, 4, 1, 0, 1, 2, 4, 3, 0, 0, 4, 0, 2, 4, 1, 3, 1, 1, 1, 4, 3, 1, 2, 1, 2, 0, 0]
pubkeycol706 = [1, 4, 0, 2, 3, 2, 1, 1, 3, 2, 2, 3, 2, 2, 1, 3, 1, 1, 3, 2, 2, 0, 2, 3, 3, 3, 0, 3, 2, 4, 3, 2, 0, 0, 4, 3, 1, 4, 2, 4, 0, 4, 4, 2, 0, 1, 2, 3, 2, 2, 1, 0, 3, 4, 1, 4, 1, 0, 3, 3, 0, 0, 3, 4, 3, 3, 4, 4, 0, 4, 2, 0, 4, 2, 1, 3, 3, 0, 3, 0, 3, 1, 4, 2, 2, 2, 4, 1, 0, 0, 1, 1, 3, 1, 4, 2, 1, 2, 3, 2, 0, 0, 1, 2, 3, 3, 4, 1, 0, 2, 0, 2, 2, 3, 0, 3, 2, 3, 0, 0, 1, 3, 2, 0, 0, 0, 3, 4, 3, 1, 1, 2, 3, 1, 1, 3, 2, 4, 2, 4, 2, 2, 4, 2, 3, 3, 3, 2, 4, 3, 2, 4, 4, 4, 4, 0, 1, 4, 4, 1, 1, 2, 3, 3, 3, 3, 2, 4, 1, 4, 3, 4, 0, 2, 3, 1, 4, 1, 0, 4, 3, 1, 2, 1, 1, 0, 2, 0, 0, 4, 2, 2, 4, 4, 1, 3, 1, 0, 2, 1, 2, 1, 1, 0, 2, 4, 1, 1, 0, 0, 2, 3, 0, 1, 4, 4, 2, 0, 1, 2, 0, 2, 3, 3, 0, 2, 0, 3, 3, 1, 4, 4, 4, 0, 4, 3, 2, 2, 0, 1, 0, 3, 2, 0, 3, 1, 3, 1, 1, 1, 0, 3, 2, 2, 4, 4, 1, 3, 3, 3, 3, 0, 0, 2, 1, 2, 0, 4, 0, 1, 4, 2, 2, 3, 1, 1, 2, 1, 2, 0, 2, 1, 2, 3, 1, 2, 4, 0, 4, 4, 3, 4, 3, 2, 2, 1, 4, 4, 0, 4, 1, 1, 3, 1, 2, 2, 2, 3, 3, 4, 0, 0, 3, 0, 3, 1, 3, 3, 2, 3]
pubkeycol707 = [1, 1, 0, 0, 0, 1, 2, 3, 2, 1, 4, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 4, 2, 1, 0, 3, 4, 4, 3, 2, 3, 2, 0, 2, 4, 1, 3, 4, 3, 3, 3, 2, 0, 1, 1, 1, 2, 3, 3, 2, 3, 3, 3, 3, 0, 3, 4, 2, 4, 0, 3, 3, 0, 4, 4, 0, 0, 1, 0, 4, 0, 2, 3, 0, 4, 4, 2, 4, 4, 1, 0, 1, 3, 3, 3, 1, 2, 3, 2, 4, 3, 1, 2, 3, 3, 2, 4, 4, 3, 1, 0, 2, 4, 1, 1, 0, 3, 1, 3, 1, 3, 1, 2, 0, 3, 2, 2, 1, 3, 0, 1, 0, 1, 4, 1, 2, 3, 2, 4, 2, 2, 4, 3, 4, 2, 3, 0, 1, 0, 0, 0, 4, 4, 1, 2, 2, 3, 0, 4, 4, 0, 2, 4, 1, 3, 1, 2, 1, 2, 0, 4, 0, 3, 0, 4, 2, 2, 2, 0, 4, 2, 1, 2, 0, 3, 3, 4, 2, 1, 1, 2, 3, 1, 2, 4, 0, 3, 0, 4, 3, 1, 3, 1, 2, 3, 0, 4, 4, 0, 2, 2, 2, 3, 3, 4, 4, 3, 2, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 1, 1, 2, 1, 3, 1, 1, 2, 4, 0, 0, 1, 0, 1, 4, 0, 2, 0, 2, 4, 1, 2, 2, 0, 2, 1, 3, 4, 0, 1, 0, 0, 1, 1, 1, 3, 4, 1, 3, 1, 1, 3, 1, 4, 4, 4, 2, 0, 0, 1, 3, 1, 3, 2, 1, 1, 3, 3, 2, 2, 4, 0, 4, 0, 2, 1, 0, 1, 2, 4, 3, 2, 2, 1, 0, 2, 1, 1, 2, 2, 3, 0, 1, 3, 2, 0, 1, 4, 0, 3, 3, 3, 3, 1, 4, 2, 0, 0, 2, 3]
pubkeycol708 = [4, 0, 1, 1, 2, 4, 0, 3, 3, 1, 4, 3, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 1, 3, 0, 0, 3, 4, 1, 1, 1, 1, 2, 4, 3, 2, 2, 4, 2, 0, 4, 2, 3, 0, 2, 3, 2, 3, 2, 1, 4, 3, 3, 0, 3, 2, 2, 2, 1, 2, 3, 2, 4, 2, 3, 3, 0, 1, 0, 4, 4, 1, 4, 2, 1, 4, 4, 0, 2, 2, 3, 4, 4, 4, 1, 1, 0, 1, 1, 0, 0, 0, 4, 0, 1, 2, 1, 1, 4, 0, 3, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 4, 3, 0, 2, 0, 0, 0, 1, 2, 4, 2, 0, 3, 4, 3, 4, 1, 2, 4, 4, 2, 4, 2, 4, 3, 1, 4, 0, 4, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 4, 2, 4, 2, 1, 4, 0, 0, 2, 0, 1, 4, 3, 0, 4, 1, 4, 2, 0, 0, 0, 1, 3, 3, 0, 3, 2, 2, 1, 0, 0, 2, 2, 3, 0, 1, 3, 0, 3, 0, 0, 2, 0, 2, 0, 4, 4, 3, 0, 2, 1, 4, 4, 2, 3, 1, 4, 2, 3, 1, 1, 1, 2, 4, 1, 3, 1, 0, 3, 3, 0, 1, 0, 2, 2, 3, 0, 2, 1, 1, 0, 0, 4, 4, 0, 0, 1, 4, 0, 2, 0, 2, 1, 3, 3, 0, 3, 2, 4, 0, 0, 4, 1, 4, 3, 3, 3, 3, 1, 1, 4, 4, 0, 4, 1, 1, 0, 4, 0, 4, 1, 3, 1, 2, 0, 0, 3, 4, 3, 4, 0, 4, 3, 4, 0, 1, 4, 4, 0, 0, 2, 2, 4, 2, 2, 0, 3, 4, 0, 4, 4, 2, 0, 3, 0, 4, 4, 3, 2, 1, 0, 0, 1, 0, 0, 4, 1, 3]
pubkeycol709 = [3, 2, 4, 1, 3, 4, 3, 0, 4, 1, 3, 0, 2, 3, 3, 3, 0, 4, 3, 1, 3, 2, 0, 3, 0, 4, 0, 1, 0, 1, 1, 3, 3, 4, 1, 0, 1, 3, 2, 3, 2, 1, 0, 0, 3, 4, 1, 3, 3, 2, 2, 1, 2, 0, 1, 0, 2, 4, 4, 4, 3, 3, 0, 2, 3, 2, 4, 3, 4, 1, 1, 1, 3, 4, 4, 1, 0, 4, 4, 4, 0, 1, 4, 4, 1, 1, 0, 0, 2, 3, 4, 4, 4, 4, 0, 1, 4, 4, 1, 0, 1, 2, 4, 2, 4, 3, 1, 4, 2, 2, 3, 1, 2, 2, 4, 3, 4, 2, 1, 2, 3, 1, 0, 3, 3, 0, 4, 4, 2, 4, 3, 0, 0, 0, 3, 2, 0, 4, 3, 4, 0, 3, 0, 3, 4, 1, 3, 0, 4, 3, 1, 2, 0, 1, 1, 2, 2, 3, 4, 2, 1, 1, 1, 2, 3, 2, 4, 2, 4, 3, 3, 2, 2, 2, 1, 4, 2, 4, 1, 2, 4, 0, 2, 1, 4, 4, 2, 4, 2, 0, 0, 2, 4, 0, 4, 1, 2, 0, 2, 3, 0, 4, 3, 2, 3, 2, 4, 1, 4, 3, 3, 0, 0, 1, 1, 0, 2, 2, 3, 1, 1, 4, 2, 1, 0, 0, 3, 0, 1, 3, 2, 3, 3, 1, 3, 2, 2, 3, 2, 4, 0, 3, 0, 4, 2, 4, 0, 2, 1, 3, 3, 4, 1, 4, 4, 0, 0, 3, 0, 4, 4, 2, 2, 1, 4, 0, 1, 0, 2, 4, 4, 1, 3, 2, 0, 4, 1, 4, 4, 3, 0, 0, 1, 2, 0, 1, 0, 4, 3, 3, 0, 1, 2, 0, 1, 1, 2, 0, 1, 4, 1, 0, 3, 4, 3, 3, 0, 4, 3, 2, 2, 2, 4, 3, 1, 4, 3, 2, 1, 1]
pubkeycol710 = [1, 3, 3, 2, 3, 2, 3, 4, 0, 3, 3, 3, 1, 3, 3, 1, 3, 4, 1, 3, 2, 3, 0, 0, 4, 3, 2, 3, 0, 3, 2, 4, 3, 1, 0, 4, 3, 2, 0, 4, 3, 2, 0, 2, 1, 4, 2, 1, 0, 4, 2, 2, 4, 2, 3, 2, 4, 0, 1, 4, 0, 2, 0, 3, 2, 0, 3, 1, 1, 3, 3, 3, 1, 2, 4, 2, 0, 2, 2, 0, 2, 2, 2, 3, 0, 2, 4, 3, 2, 3, 4, 0, 3, 2, 4, 2, 2, 1, 3, 1, 0, 0, 4, 4, 4, 0, 1, 2, 0, 0, 4, 4, 2, 3, 3, 4, 4, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 0, 4, 2, 4, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 3, 2, 3, 4, 0, 4, 3, 2, 4, 0, 0, 1, 0, 0, 4, 3, 2, 4, 3, 0, 3, 4, 2, 0, 2, 0, 1, 4, 4, 3, 0, 1, 4, 1, 2, 2, 2, 3, 0, 4, 1, 3, 0, 4, 4, 4, 4, 4, 3, 2, 1, 2, 0, 3, 0, 4, 3, 2, 0, 4, 4, 0, 4, 3, 4, 2, 2, 0, 2, 3, 0, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 0, 2, 2, 2, 4, 1, 3, 1, 0, 1, 4, 2, 1, 0, 0, 3, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 3, 3, 2, 1, 1, 2, 4, 4, 3, 4, 4, 4, 1, 0, 4, 2, 3, 2, 4, 2, 3, 1, 4, 3, 2, 0, 1, 0, 2, 1, 1, 4, 4, 3, 1, 3, 0, 3, 3, 1, 1, 0, 4, 1, 3, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 3, 3, 2, 1]
pubkeycol711 = [2, 3, 2, 2, 1, 3, 4, 1, 1, 4, 3, 1, 1, 0, 2, 2, 1, 1, 3, 2, 2, 3, 4, 4, 2, 0, 3, 4, 4, 1, 2, 3, 1, 2, 2, 1, 1, 2, 1, 1, 3, 1, 4, 2, 1, 2, 4, 3, 4, 0, 4, 2, 2, 0, 2, 2, 1, 0, 3, 4, 4, 4, 2, 1, 0, 1, 1, 3, 2, 2, 4, 4, 3, 3, 4, 0, 1, 3, 0, 0, 4, 2, 1, 3, 1, 3, 4, 0, 4, 3, 1, 3, 3, 2, 0, 2, 0, 3, 4, 2, 4, 3, 1, 3, 1, 2, 1, 2, 3, 2, 3, 3, 4, 0, 3, 4, 4, 0, 1, 3, 0, 0, 4, 4, 0, 3, 1, 0, 3, 4, 3, 1, 2, 1, 2, 2, 0, 0, 4, 2, 3, 4, 2, 0, 2, 2, 4, 0, 3, 1, 2, 1, 2, 2, 3, 4, 1, 1, 4, 4, 3, 1, 4, 4, 1, 3, 3, 0, 4, 2, 1, 0, 2, 1, 2, 2, 2, 3, 2, 3, 4, 4, 3, 1, 3, 0, 1, 2, 1, 1, 1, 3, 0, 2, 1, 1, 4, 0, 4, 2, 4, 4, 1, 4, 2, 3, 3, 3, 4, 1, 2, 0, 1, 4, 0, 4, 2, 4, 4, 0, 1, 0, 1, 1, 3, 3, 1, 2, 1, 3, 4, 4, 0, 1, 2, 1, 0, 1, 4, 4, 0, 4, 0, 3, 3, 3, 0, 0, 0, 2, 1, 2, 3, 0, 1, 2, 1, 2, 3, 4, 1, 4, 2, 0, 4, 1, 3, 4, 3, 0, 2, 1, 3, 3, 3, 3, 0, 0, 1, 2, 2, 4, 4, 0, 4, 1, 3, 3, 1, 1, 1, 1, 0, 3, 3, 0, 3, 0, 1, 0, 1, 1, 3, 0, 0, 4, 3, 1, 0, 3, 0, 2, 2, 2, 2, 3, 1, 2, 0, 4]
pubkeycol712 = [1, 0, 0, 0, 1, 4, 2, 3, 3, 3, 2, 1, 1, 1, 3, 1, 3, 2, 0, 0, 0, 3, 1, 1, 4, 0, 4, 2, 3, 0, 2, 0, 4, 1, 4, 1, 2, 2, 3, 0, 3, 0, 0, 1, 2, 4, 3, 3, 3, 3, 4, 4, 1, 4, 0, 3, 3, 4, 0, 1, 4, 0, 2, 3, 2, 3, 0, 1, 1, 3, 0, 3, 0, 0, 3, 3, 4, 0, 3, 2, 0, 4, 0, 4, 2, 1, 4, 3, 2, 2, 4, 2, 3, 4, 3, 0, 3, 0, 2, 2, 2, 2, 4, 0, 2, 0, 1, 2, 4, 1, 1, 1, 1, 2, 2, 1, 3, 1, 4, 3, 0, 1, 4, 4, 2, 4, 2, 3, 2, 0, 4, 0, 3, 3, 1, 4, 1, 1, 3, 2, 3, 4, 0, 3, 3, 1, 2, 4, 4, 4, 1, 0, 1, 0, 2, 4, 3, 2, 2, 4, 2, 2, 4, 1, 3, 3, 2, 2, 4, 2, 2, 2, 1, 0, 3, 0, 0, 1, 1, 3, 3, 4, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 3, 1, 4, 2, 4, 1, 3, 1, 2, 0, 2, 0, 2, 2, 1, 4, 4, 0, 4, 4, 2, 3, 3, 1, 2, 3, 3, 0, 0, 1, 0, 2, 4, 2, 0, 4, 4, 2, 1, 3, 0, 3, 1, 3, 0, 0, 0, 0, 4, 2, 0, 3, 1, 4, 4, 2, 2, 3, 4, 1, 2, 1, 4, 2, 1, 1, 2, 4, 1, 0, 1, 2, 2, 1, 3, 4, 1, 1, 2, 1, 1, 2, 1, 2, 4, 2, 1, 1, 1, 1, 4, 3, 1, 4, 0, 2, 4, 3, 2, 4, 0, 0, 1, 1, 2, 2, 3, 2, 4, 2, 2, 1, 4, 2, 3, 4, 3, 3, 4, 4, 2, 3, 1, 1, 0, 4, 3, 1]
pubkeycol713 = [0, 0, 3, 3, 0, 4, 0, 3, 3, 1, 1, 2, 0, 0, 0, 3, 2, 1, 2, 0, 1, 4, 1, 2, 4, 1, 0, 4, 2, 2, 3, 4, 2, 3, 1, 4, 2, 0, 2, 4, 0, 0, 4, 3, 4, 4, 1, 3, 4, 3, 0, 2, 1, 0, 3, 0, 4, 4, 4, 1, 3, 3, 4, 2, 2, 3, 0, 2, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 4, 0, 2, 0, 4, 3, 4, 2, 0, 3, 1, 3, 2, 1, 1, 2, 3, 1, 3, 1, 3, 3, 0, 2, 4, 2, 2, 1, 1, 2, 3, 0, 2, 3, 2, 0, 1, 2, 1, 1, 2, 1, 3, 2, 2, 1, 4, 3, 2, 0, 0, 0, 3, 4, 3, 2, 1, 2, 1, 0, 2, 4, 2, 0, 2, 4, 4, 2, 1, 2, 2, 4, 0, 4, 1, 3, 4, 3, 1, 3, 2, 1, 2, 3, 2, 1, 2, 2, 1, 3, 0, 0, 0, 1, 0, 2, 0, 3, 1, 1, 0, 4, 1, 2, 4, 2, 0, 1, 2, 2, 0, 0, 1, 4, 1, 2, 0, 3, 3, 1, 0, 1, 3, 2, 2, 4, 4, 1, 3, 2, 3, 0, 2, 4, 4, 1, 4, 1, 0, 1, 3, 3, 0, 4, 0, 2, 3, 1, 0, 2, 4, 1, 1, 1, 2, 1, 0, 4, 1, 2, 0, 0, 3, 3, 2, 2, 4, 1, 2, 4, 4, 0, 4, 4, 2, 1, 0, 4, 4, 4, 3, 2, 0, 3, 4, 1, 3, 3, 1, 4, 2, 4, 0, 2, 3, 0, 4, 0, 4, 1, 3, 0, 0, 4, 3, 0, 4, 2, 0, 4, 4, 1, 2, 1, 3, 1, 1, 1, 2, 2, 4, 0, 1, 1, 2, 3, 2, 2, 4, 4, 1, 0, 4, 1, 1, 4, 0, 2, 2, 0, 0]
pubkeycol714 = [3, 4, 3, 0, 1, 4, 3, 2, 1, 1, 2, 1, 1, 2, 3, 0, 4, 1, 3, 4, 0, 1, 4, 3, 4, 0, 0, 4, 4, 0, 3, 2, 0, 2, 3, 2, 1, 0, 2, 1, 3, 2, 1, 2, 2, 0, 0, 3, 1, 3, 3, 2, 2, 1, 2, 1, 1, 4, 3, 3, 0, 4, 1, 0, 0, 3, 4, 0, 1, 0, 2, 1, 4, 2, 4, 0, 1, 2, 2, 0, 3, 2, 4, 1, 3, 4, 0, 2, 3, 1, 3, 4, 3, 4, 1, 0, 4, 4, 1, 4, 0, 2, 1, 1, 0, 4, 1, 1, 1, 1, 4, 4, 4, 3, 4, 3, 1, 1, 3, 0, 4, 4, 2, 2, 4, 4, 3, 0, 4, 2, 3, 0, 2, 3, 2, 2, 4, 0, 2, 0, 1, 0, 3, 1, 2, 4, 3, 3, 0, 0, 0, 3, 0, 4, 0, 3, 1, 3, 4, 3, 4, 3, 0, 0, 4, 0, 2, 2, 4, 1, 0, 1, 1, 3, 3, 2, 2, 4, 4, 2, 1, 1, 0, 1, 2, 1, 0, 4, 0, 2, 3, 0, 3, 3, 2, 4, 4, 1, 0, 3, 2, 4, 4, 3, 0, 1, 2, 2, 1, 2, 0, 0, 4, 2, 0, 0, 0, 1, 0, 4, 0, 1, 3, 1, 3, 0, 0, 4, 4, 2, 0, 2, 2, 3, 1, 2, 2, 0, 2, 0, 0, 4, 2, 4, 2, 1, 3, 1, 1, 4, 1, 1, 0, 0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 2, 4, 0, 2, 1, 0, 3, 2, 2, 4, 3, 4, 4, 2, 4, 1, 3, 3, 2, 3, 2, 3, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 3, 4, 4, 3, 1, 4, 4, 0, 4, 2, 1, 1, 0, 3, 1, 2, 4, 4, 1, 4]
pubkeycol715 = [2, 1, 0, 3, 4, 0, 0, 2, 4, 0, 0, 1, 1, 0, 2, 3, 1, 4, 0, 1, 3, 4, 2, 4, 0, 3, 3, 2, 1, 1, 4, 2, 4, 1, 2, 3, 1, 3, 3, 2, 1, 4, 2, 4, 2, 3, 3, 3, 1, 0, 4, 2, 4, 3, 3, 0, 3, 0, 4, 4, 0, 3, 4, 4, 2, 2, 0, 3, 0, 4, 0, 4, 4, 3, 1, 3, 4, 0, 1, 3, 3, 4, 4, 0, 1, 1, 0, 1, 2, 3, 4, 3, 2, 4, 1, 2, 2, 0, 3, 3, 4, 4, 0, 2, 4, 2, 0, 2, 2, 4, 0, 3, 3, 0, 4, 3, 4, 2, 4, 1, 3, 2, 2, 1, 0, 1, 0, 3, 1, 4, 1, 0, 4, 3, 4, 3, 2, 4, 4, 3, 3, 4, 2, 1, 1, 2, 4, 0, 3, 2, 2, 1, 2, 0, 2, 4, 4, 3, 3, 4, 4, 3, 1, 1, 0, 2, 2, 0, 2, 0, 3, 1, 1, 4, 2, 3, 0, 4, 1, 4, 2, 4, 2, 0, 3, 1, 2, 3, 2, 0, 1, 1, 4, 3, 0, 1, 4, 4, 4, 1, 2, 0, 4, 2, 4, 2, 3, 1, 2, 1, 1, 3, 4, 4, 2, 1, 2, 1, 4, 4, 2, 1, 2, 4, 4, 4, 1, 3, 1, 4, 1, 0, 2, 1, 3, 1, 0, 4, 1, 1, 3, 0, 4, 0, 0, 2, 2, 0, 4, 4, 0, 4, 2, 3, 4, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 4, 3, 0, 3, 1, 4, 2, 3, 0, 4, 1, 2, 2, 0, 3, 3, 4, 1, 1, 0, 4, 3, 0, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 1, 1, 3, 2, 0, 4, 4, 0, 3, 0, 0, 4, 2, 0, 3, 4, 3]
pubkeycol716 = [0, 0, 0, 2, 3, 1, 2, 2, 3, 3, 3, 1, 3, 3, 2, 3, 1, 2, 4, 2, 4, 1, 1, 1, 3, 0, 4, 0, 2, 4, 4, 3, 0, 0, 2, 2, 4, 4, 3, 3, 0, 3, 4, 4, 1, 4, 0, 3, 4, 2, 3, 4, 4, 1, 3, 4, 1, 4, 0, 1, 1, 0, 0, 2, 2, 1, 2, 3, 2, 0, 0, 2, 3, 4, 4, 1, 1, 0, 4, 2, 1, 0, 0, 3, 3, 3, 0, 3, 0, 4, 4, 4, 4, 3, 1, 1, 1, 4, 0, 0, 1, 1, 1, 1, 0, 4, 2, 4, 4, 2, 0, 4, 3, 0, 1, 2, 1, 0, 2, 2, 4, 0, 0, 0, 4, 0, 3, 0, 1, 1, 1, 2, 1, 0, 2, 3, 1, 4, 1, 1, 4, 1, 2, 1, 4, 3, 1, 4, 1, 2, 1, 4, 0, 2, 0, 2, 1, 1, 3, 2, 0, 2, 4, 3, 3, 1, 3, 4, 2, 1, 0, 0, 2, 0, 4, 2, 3, 1, 0, 4, 0, 1, 3, 3, 4, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 4, 1, 1, 0, 1, 0, 0, 4, 3, 4, 1, 4, 2, 2, 3, 1, 4, 3, 4, 1, 0, 1, 4, 2, 1, 2, 0, 0, 4, 2, 0, 3, 3, 0, 1, 0, 2, 1, 1, 3, 3, 4, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 0, 3, 0, 3, 0, 1, 1, 2, 2, 0, 2, 3, 4, 1, 2, 3, 4, 0, 4, 2, 1, 3, 4, 3, 0, 3, 3, 4, 2, 3, 1, 3, 1, 0, 2, 2, 3, 1, 2, 4, 3, 4, 2, 1, 2, 1, 2, 4, 2, 4, 1, 4, 3, 4, 3, 3, 2, 0, 0, 3, 3, 4, 1, 3, 4, 2, 0, 3, 2, 3, 3, 3, 4]
pubkeycol717 = [4, 4, 3, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 3, 0, 3, 4, 3, 0, 1, 2, 4, 1, 3, 1, 0, 3, 4, 0, 3, 2, 4, 1, 1, 2, 3, 3, 3, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 4, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 3, 2, 0, 3, 4, 4, 4, 0, 3, 2, 4, 0, 0, 2, 4, 1, 2, 4, 3, 1, 1, 3, 4, 3, 1, 0, 0, 0, 3, 3, 1, 1, 1, 1, 0, 1, 4, 1, 1, 1, 1, 2, 3, 1, 0, 2, 3, 0, 4, 4, 1, 3, 0, 1, 4, 4, 1, 4, 4, 0, 1, 3, 2, 0, 1, 2, 2, 0, 1, 1, 4, 0, 1, 1, 3, 0, 1, 2, 2, 2, 0, 2, 3, 4, 4, 4, 1, 0, 0, 1, 0, 1, 3, 0, 4, 1, 3, 2, 4, 1, 1, 1, 3, 0, 4, 0, 0, 2, 0, 2, 3, 0, 4, 3, 1, 3, 1, 3, 1, 4, 0, 4, 0, 2, 1, 0, 4, 4, 2, 0, 0, 2, 0, 4, 0, 3, 1, 4, 2, 3, 0, 2, 4, 1, 4, 4, 2, 4, 0, 2, 4, 2, 3, 3, 2, 0, 0, 0, 4, 4, 0, 0, 0, 1, 4, 2, 2, 4, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 4, 0, 2, 2, 2, 0, 3, 4, 1, 0, 3, 3, 0, 1, 4, 4, 3, 3, 4, 2, 4, 0, 3, 2, 0, 0, 2, 4, 0, 0, 2, 2, 0, 3, 2, 4, 0, 4, 3, 3, 3, 1, 1, 0, 3, 1, 1, 0, 3, 1, 2, 0, 1, 1, 3, 2, 3, 3, 0, 4, 1, 3, 4, 3, 4, 3, 1, 4, 1, 2, 2, 3, 3, 2, 2]
pubkeycol718 = [3, 1, 2, 2, 2, 2, 0, 4, 2, 1, 0, 4, 4, 2, 4, 0, 1, 4, 3, 2, 0, 4, 0, 4, 2, 3, 3, 0, 1, 4, 2, 4, 4, 3, 0, 2, 2, 1, 4, 0, 0, 2, 0, 2, 0, 0, 4, 4, 2, 4, 3, 3, 2, 3, 2, 0, 4, 4, 2, 4, 3, 1, 3, 3, 2, 4, 1, 2, 1, 1, 3, 2, 0, 0, 4, 2, 4, 0, 0, 4, 1, 3, 0, 0, 0, 0, 0, 4, 2, 2, 4, 1, 2, 4, 0, 1, 0, 1, 3, 0, 3, 3, 2, 2, 0, 0, 3, 3, 3, 0, 3, 4, 0, 1, 0, 0, 1, 1, 4, 4, 4, 0, 2, 2, 4, 1, 0, 3, 0, 1, 4, 2, 1, 3, 4, 1, 1, 4, 4, 3, 2, 4, 0, 0, 3, 4, 4, 0, 2, 0, 1, 3, 1, 3, 0, 4, 1, 1, 1, 3, 3, 3, 0, 2, 2, 3, 4, 3, 4, 0, 4, 0, 2, 1, 2, 1, 1, 0, 4, 1, 0, 1, 2, 0, 3, 2, 0, 1, 2, 1, 1, 2, 0, 3, 1, 0, 0, 3, 2, 1, 2, 3, 4, 4, 4, 0, 0, 1, 1, 1, 2, 3, 4, 2, 4, 0, 0, 2, 2, 4, 2, 2, 3, 4, 3, 3, 4, 4, 0, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 3, 0, 4, 1, 0, 2, 4, 2, 3, 3, 2, 3, 0, 4, 3, 3, 0, 4, 3, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 4, 0, 0, 0, 2, 2, 3, 1, 2, 0, 4, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 1, 4, 2, 3, 2, 0, 4, 1, 0, 0, 0, 2, 4, 3, 4, 1, 2, 1, 0, 0, 2, 0, 4, 4, 1, 1, 0]
pubkeycol719 = [4, 2, 0, 2, 3, 1, 0, 4, 4, 0, 1, 0, 1, 4, 0, 3, 2, 0, 4, 0, 0, 2, 2, 3, 2, 0, 3, 1, 0, 1, 2, 3, 0, 2, 3, 4, 1, 1, 0, 0, 2, 3, 1, 3, 4, 3, 1, 4, 4, 4, 1, 2, 4, 1, 0, 4, 0, 4, 1, 2, 1, 4, 0, 2, 3, 3, 0, 4, 2, 4, 3, 3, 2, 4, 2, 4, 1, 4, 2, 2, 4, 3, 2, 4, 2, 2, 1, 1, 1, 4, 0, 1, 2, 0, 4, 2, 3, 4, 3, 4, 0, 2, 2, 0, 2, 2, 2, 1, 3, 1, 1, 2, 1, 0, 3, 1, 3, 1, 0, 4, 1, 2, 2, 0, 4, 3, 1, 2, 1, 3, 0, 3, 1, 4, 4, 0, 1, 1, 0, 4, 2, 2, 3, 0, 1, 1, 3, 2, 4, 4, 1, 2, 2, 2, 3, 3, 1, 3, 1, 0, 0, 4, 0, 4, 1, 1, 1, 0, 0, 1, 0, 4, 3, 4, 4, 2, 3, 2, 2, 1, 4, 3, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 0, 4, 0, 4, 2, 3, 3, 4, 4, 1, 1, 2, 4, 3, 2, 2, 4, 3, 4, 3, 4, 2, 2, 4, 0, 4, 0, 1, 0, 0, 1, 2, 2, 4, 3, 4, 0, 0, 0, 0, 1, 2, 4, 4, 3, 3, 4, 0, 3, 2, 4, 2, 3, 2, 0, 0, 4, 3, 0, 3, 3, 2, 0, 0, 4, 0, 4, 3, 2, 4, 4, 1, 1, 1, 4, 3, 4, 2, 3, 0, 1, 0, 4, 0, 3, 0, 4, 4, 3, 1, 0, 3, 0, 4, 1, 2, 3, 0, 2, 0, 2, 0, 0, 2, 4, 2, 2, 2, 4, 0, 1, 3, 3, 1, 2, 4, 0, 3, 2, 4, 1, 1, 0, 1, 4, 0, 1, 4]
pubkeycol720 = [0, 4, 4, 1, 3, 0, 2, 4, 3, 1, 3, 2, 4, 2, 2, 0, 4, 1, 3, 4, 2, 1, 0, 1, 2, 0, 3, 0, 3, 3, 2, 3, 3, 1, 1, 0, 0, 3, 0, 1, 2, 4, 0, 1, 2, 1, 3, 4, 2, 4, 4, 2, 4, 4, 3, 4, 4, 2, 3, 3, 0, 0, 0, 3, 0, 4, 0, 4, 3, 0, 0, 4, 2, 3, 3, 2, 2, 1, 1, 4, 4, 4, 0, 1, 4, 4, 0, 4, 4, 4, 2, 1, 2, 0, 2, 1, 2, 0, 2, 4, 2, 3, 1, 3, 4, 2, 3, 0, 3, 2, 1, 2, 4, 1, 1, 2, 0, 0, 2, 3, 0, 1, 2, 0, 4, 4, 1, 3, 4, 4, 0, 4, 3, 4, 0, 1, 4, 3, 4, 0, 4, 3, 3, 3, 0, 0, 4, 3, 3, 0, 2, 3, 0, 1, 0, 2, 3, 1, 1, 3, 3, 3, 3, 4, 3, 3, 0, 2, 2, 3, 1, 3, 3, 4, 3, 3, 2, 3, 1, 0, 4, 0, 1, 2, 1, 1, 4, 4, 1, 3, 3, 3, 3, 1, 4, 2, 4, 1, 4, 0, 0, 4, 2, 3, 1, 2, 4, 4, 4, 4, 1, 1, 3, 4, 2, 3, 3, 0, 2, 3, 2, 0, 1, 3, 3, 0, 1, 0, 3, 2, 4, 4, 4, 1, 1, 2, 0, 3, 1, 1, 2, 0, 2, 4, 2, 1, 3, 4, 2, 1, 3, 1, 3, 3, 2, 4, 2, 2, 2, 4, 0, 1, 0, 2, 3, 1, 3, 2, 2, 2, 2, 4, 1, 3, 3, 2, 4, 4, 3, 3, 2, 1, 2, 0, 1, 4, 2, 4, 4, 0, 0, 1, 2, 2, 2, 1, 1, 3, 0, 1, 3, 3, 1, 0, 3, 4, 0, 0, 2, 0, 0, 1, 3, 4, 3, 4, 4, 1, 1, 0]
pubkeycol721 = [4, 2, 1, 2, 4, 3, 4, 0, 4, 2, 0, 2, 4, 1, 4, 1, 2, 0, 0, 4, 3, 0, 0, 2, 1, 4, 0, 1, 0, 1, 1, 3, 2, 2, 4, 2, 0, 4, 4, 2, 2, 3, 0, 2, 1, 1, 3, 3, 2, 0, 4, 2, 4, 3, 0, 0, 1, 4, 1, 1, 2, 4, 1, 2, 4, 2, 0, 1, 3, 4, 1, 1, 3, 4, 3, 2, 4, 3, 4, 2, 1, 4, 4, 2, 0, 2, 4, 4, 4, 2, 0, 0, 4, 1, 0, 4, 0, 4, 0, 1, 3, 0, 3, 2, 1, 3, 3, 4, 0, 0, 2, 0, 2, 0, 1, 1, 3, 1, 1, 0, 2, 1, 1, 2, 3, 3, 4, 2, 2, 4, 4, 2, 2, 0, 3, 0, 0, 4, 3, 4, 0, 1, 3, 4, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 4, 1, 4, 3, 4, 4, 3, 4, 1, 4, 4, 3, 2, 3, 0, 2, 2, 0, 2, 4, 4, 0, 0, 4, 3, 0, 4, 1, 1, 3, 3, 3, 2, 0, 4, 4, 3, 4, 1, 2, 4, 4, 4, 2, 2, 3, 0, 2, 0, 3, 2, 0, 4, 0, 0, 3, 0, 4, 3, 0, 0, 3, 3, 1, 4, 1, 2, 2, 4, 0, 0, 4, 1, 0, 0, 1, 0, 2, 4, 1, 2, 1, 2, 0, 2, 4, 4, 3, 4, 2, 1, 3, 0, 1, 3, 0, 1, 4, 1, 0, 1, 4, 3, 0, 2, 0, 2, 2, 3, 0, 0, 4, 2, 4, 0, 3, 3, 1, 3, 4, 3, 4, 1, 0, 2, 4, 0, 0, 2, 2, 4, 0, 1, 1, 1, 4, 3, 4, 0, 0, 3, 0, 0, 3, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 4, 3, 2, 4, 4, 3, 4, 0, 4, 1, 1, 0]
pubkeycol722 = [1, 1, 2, 0, 1, 0, 3, 3, 4, 4, 2, 4, 2, 3, 3, 0, 1, 3, 4, 1, 0, 0, 0, 1, 4, 4, 4, 4, 1, 0, 1, 3, 1, 0, 4, 3, 2, 4, 0, 2, 4, 1, 1, 4, 4, 2, 1, 1, 4, 4, 1, 2, 0, 1, 2, 2, 3, 2, 4, 3, 3, 0, 1, 2, 2, 2, 0, 3, 1, 4, 2, 4, 3, 1, 2, 1, 2, 4, 4, 2, 1, 3, 0, 4, 0, 0, 1, 4, 3, 0, 3, 0, 2, 2, 3, 0, 0, 0, 1, 2, 0, 3, 3, 2, 4, 3, 4, 1, 2, 1, 3, 4, 1, 0, 3, 1, 2, 4, 3, 4, 2, 0, 0, 2, 0, 4, 4, 4, 4, 0, 1, 1, 0, 2, 4, 2, 1, 4, 4, 1, 1, 0, 0, 2, 0, 1, 0, 4, 4, 1, 3, 4, 1, 4, 1, 2, 2, 4, 1, 1, 3, 2, 0, 3, 3, 0, 2, 4, 1, 4, 2, 1, 4, 3, 2, 0, 2, 0, 3, 2, 4, 3, 4, 2, 4, 1, 2, 3, 2, 0, 0, 0, 0, 2, 2, 3, 4, 0, 3, 3, 4, 1, 4, 1, 4, 0, 4, 3, 1, 3, 2, 4, 0, 2, 0, 2, 4, 2, 3, 1, 4, 4, 4, 0, 4, 4, 3, 1, 3, 4, 2, 4, 3, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 3, 4, 1, 1, 0, 2, 4, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 3, 2, 1, 3, 3, 4, 2, 0, 4, 3, 4, 4, 4, 1, 3, 0, 0, 0, 3, 4, 2, 4, 0, 1, 1, 1, 3, 1, 2, 3, 4, 3, 4, 2, 1, 0, 1, 1, 4, 0, 0, 4, 0, 1, 2, 1, 4, 0, 0, 3, 0, 1, 0, 2, 4, 4, 4, 2]
pubkeycol723 = [3, 3, 0, 1, 0, 3, 3, 0, 1, 4, 4, 4, 0, 4, 4, 1, 4, 3, 1, 1, 3, 0, 1, 1, 4, 1, 3, 2, 0, 1, 1, 2, 4, 1, 4, 3, 1, 0, 3, 4, 0, 4, 4, 1, 1, 3, 0, 3, 4, 4, 2, 0, 2, 2, 1, 2, 4, 3, 2, 2, 4, 2, 0, 2, 4, 3, 0, 2, 1, 2, 2, 2, 1, 3, 1, 1, 3, 1, 4, 2, 3, 3, 2, 0, 2, 1, 0, 0, 2, 3, 1, 3, 4, 3, 4, 0, 0, 4, 1, 3, 4, 1, 2, 1, 2, 2, 1, 1, 2, 1, 4, 1, 0, 4, 1, 3, 0, 3, 0, 0, 1, 4, 4, 4, 3, 4, 2, 3, 2, 2, 3, 0, 1, 2, 1, 4, 2, 1, 2, 2, 1, 2, 0, 3, 0, 0, 4, 3, 4, 3, 3, 4, 3, 4, 2, 3, 1, 4, 4, 1, 3, 2, 0, 1, 1, 4, 1, 2, 3, 0, 3, 0, 2, 2, 3, 0, 2, 4, 3, 4, 4, 3, 0, 3, 4, 1, 0, 1, 1, 0, 3, 1, 0, 4, 3, 4, 3, 0, 4, 4, 0, 3, 4, 2, 0, 2, 0, 3, 2, 3, 4, 4, 0, 1, 2, 4, 1, 4, 2, 0, 1, 2, 3, 2, 0, 2, 2, 0, 4, 4, 0, 2, 1, 3, 0, 0, 4, 3, 0, 3, 4, 0, 0, 1, 3, 3, 4, 1, 3, 1, 0, 0, 3, 0, 1, 2, 0, 2, 0, 4, 2, 3, 4, 2, 4, 2, 2, 0, 3, 2, 3, 2, 3, 1, 1, 1, 0, 3, 0, 0, 1, 0, 4, 1, 1, 1, 1, 0, 2, 4, 1, 3, 4, 0, 4, 3, 4, 4, 0, 2, 0, 3, 1, 3, 3, 1, 3, 0, 4, 3, 4, 1, 3, 0, 0, 1, 4, 2, 3, 1]
pubkeycol724 = [3, 4, 2, 4, 3, 4, 4, 1, 3, 1, 3, 1, 4, 0, 1, 2, 1, 4, 3, 0, 4, 1, 1, 2, 1, 3, 3, 3, 3, 2, 1, 4, 4, 1, 1, 4, 3, 4, 0, 2, 1, 2, 4, 2, 4, 2, 4, 0, 4, 1, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 0, 0, 3, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 4, 3, 2, 4, 3, 4, 4, 0, 3, 4, 2, 1, 3, 2, 3, 3, 0, 1, 0, 0, 0, 2, 0, 0, 4, 0, 1, 0, 1, 2, 4, 4, 4, 3, 0, 2, 3, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 4, 3, 1, 0, 3, 3, 0, 1, 4, 4, 4, 2, 2, 1, 2, 2, 4, 1, 1, 1, 2, 2, 0, 2, 1, 0, 3, 0, 2, 2, 0, 0, 3, 4, 4, 1, 1, 1, 2, 3, 3, 1, 2, 4, 3, 4, 0, 0, 0, 3, 0, 0, 2, 3, 0, 2, 4, 3, 4, 3, 4, 2, 1, 3, 3, 2, 1, 2, 0, 0, 4, 4, 0, 2, 2, 3, 1, 0, 0, 3, 4, 4, 3, 2, 3, 0, 3, 0, 1, 1, 2, 1, 0, 3, 0, 1, 2, 0, 4, 1, 1, 4, 4, 3, 4, 2, 1, 2, 0, 0, 1, 3, 0, 1, 2, 1, 3, 0, 0, 4, 3, 0, 4, 0, 4, 2, 3, 2, 1, 1, 0, 0, 2, 4, 0, 3, 4, 1, 0, 1, 4, 4, 1, 2, 2, 4, 4, 0, 0, 1, 2, 3, 4, 2, 4, 3, 3, 3, 1, 4, 2, 0, 0, 0, 0, 3, 3, 2, 0, 3, 3, 2, 1, 2, 3, 1, 3, 4, 2, 2, 1, 1, 2, 0, 4, 0, 4, 4, 4, 4, 0, 0, 3, 0, 0, 4, 1, 4]
pubkeycol725 = [4, 2, 0, 3, 1, 4, 4, 2, 0, 2, 4, 1, 2, 3, 4, 1, 0, 1, 1, 3, 1, 4, 0, 1, 4, 3, 1, 1, 0, 3, 2, 1, 4, 1, 3, 2, 2, 3, 4, 3, 0, 3, 0, 0, 1, 1, 0, 4, 3, 4, 1, 2, 3, 0, 0, 2, 2, 0, 3, 3, 0, 3, 2, 3, 0, 1, 1, 3, 0, 2, 2, 2, 1, 1, 3, 0, 3, 0, 1, 1, 1, 2, 4, 4, 3, 1, 4, 0, 2, 0, 0, 2, 0, 2, 0, 4, 2, 0, 1, 2, 0, 3, 1, 2, 0, 0, 2, 0, 2, 2, 4, 2, 1, 2, 4, 1, 0, 1, 4, 3, 0, 3, 0, 3, 1, 4, 4, 4, 4, 1, 0, 1, 2, 3, 1, 4, 0, 2, 2, 1, 0, 2, 1, 0, 4, 3, 4, 4, 0, 1, 3, 4, 1, 4, 0, 2, 0, 1, 2, 0, 4, 3, 0, 4, 4, 3, 0, 0, 1, 1, 0, 1, 4, 4, 0, 1, 3, 0, 2, 2, 1, 3, 4, 3, 2, 1, 1, 1, 3, 4, 1, 0, 0, 4, 0, 2, 4, 4, 0, 1, 2, 4, 0, 1, 1, 1, 1, 0, 2, 2, 4, 3, 2, 3, 1, 4, 4, 4, 0, 4, 0, 2, 1, 2, 4, 3, 3, 1, 0, 1, 3, 2, 4, 2, 0, 2, 3, 1, 0, 4, 0, 4, 0, 3, 0, 0, 4, 0, 3, 1, 4, 2, 3, 2, 0, 3, 0, 3, 0, 0, 0, 4, 3, 0, 2, 4, 1, 3, 4, 0, 3, 2, 0, 1, 2, 0, 2, 0, 0, 1, 4, 0, 4, 0, 3, 2, 4, 0, 1, 2, 2, 2, 1, 4, 1, 3, 3, 4, 3, 4, 0, 0, 0, 1, 1, 1, 1, 4, 2, 3, 1, 0, 3, 1, 2, 3, 2, 2, 4, 0]
pubkeycol726 = [2, 3, 3, 1, 0, 0, 3, 4, 1, 2, 3, 0, 4, 0, 4, 4, 2, 4, 2, 0, 0, 2, 3, 2, 4, 2, 0, 3, 4, 0, 0, 1, 0, 0, 3, 4, 0, 1, 0, 2, 3, 0, 4, 2, 3, 3, 4, 3, 4, 3, 4, 1, 1, 2, 4, 1, 1, 3, 0, 1, 2, 3, 0, 4, 0, 3, 1, 4, 3, 1, 2, 3, 1, 4, 1, 3, 0, 4, 4, 1, 4, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 2, 0, 3, 1, 1, 2, 1, 0, 3, 3, 3, 1, 3, 4, 4, 3, 3, 4, 4, 4, 3, 1, 1, 1, 4, 2, 1, 4, 2, 3, 1, 2, 3, 1, 0, 1, 1, 2, 3, 4, 2, 0, 2, 4, 0, 2, 4, 3, 0, 0, 1, 1, 3, 4, 1, 3, 0, 2, 0, 3, 3, 3, 4, 0, 4, 1, 4, 3, 4, 1, 3, 1, 0, 1, 1, 1, 0, 3, 0, 2, 1, 1, 3, 4, 1, 2, 3, 2, 0, 3, 1, 2, 3, 2, 3, 4, 0, 3, 1, 3, 2, 4, 1, 2, 1, 3, 4, 2, 2, 2, 4, 2, 1, 1, 1, 2, 1, 3, 3, 2, 3, 1, 0, 2, 4, 2, 1, 1, 1, 0, 0, 0, 2, 4, 2, 0, 0, 3, 1, 2, 3, 2, 2, 0, 1, 3, 0, 0, 4, 4, 3, 1, 2, 4, 4, 4, 4, 3, 2, 0, 0, 2, 1, 1, 1, 4, 3, 3, 0, 3, 1, 4, 2, 2, 3, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 3, 1, 4, 4, 2, 0, 0, 3, 1, 4, 0, 3, 1, 0, 3, 1, 1, 0, 2, 2, 4, 2, 2, 1, 2, 0, 4, 3, 0, 4, 4, 3, 2, 0, 3, 1, 1, 4, 3, 1, 0]
pubkeycol727 = [3, 0, 4, 1, 3, 1, 0, 3, 4, 0, 0, 3, 2, 3, 0, 1, 0, 3, 3, 0, 0, 2, 1, 2, 1, 3, 1, 1, 0, 1, 2, 4, 0, 1, 3, 3, 2, 0, 4, 1, 1, 3, 3, 3, 0, 3, 1, 1, 2, 1, 4, 0, 0, 1, 4, 0, 2, 4, 4, 2, 3, 0, 4, 4, 2, 0, 1, 0, 3, 2, 1, 1, 2, 1, 2, 1, 4, 1, 2, 2, 1, 4, 2, 2, 1, 3, 2, 2, 3, 0, 2, 4, 3, 4, 0, 1, 4, 0, 3, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 4, 2, 1, 1, 2, 0, 4, 3, 1, 4, 0, 3, 4, 0, 1, 4, 4, 1, 0, 3, 0, 4, 1, 1, 3, 0, 3, 2, 3, 2, 4, 0, 4, 4, 0, 0, 3, 3, 0, 4, 2, 3, 0, 3, 1, 0, 1, 3, 0, 2, 4, 3, 0, 1, 2, 3, 4, 2, 3, 2, 3, 2, 3, 2, 4, 4, 0, 2, 1, 0, 4, 2, 1, 4, 0, 3, 1, 0, 4, 4, 3, 4, 0, 1, 1, 3, 0, 4, 2, 2, 0, 3, 3, 2, 4, 1, 3, 4, 1, 3, 4, 4, 1, 0, 3, 3, 1, 3, 1, 3, 4, 1, 0, 0, 2, 0, 4, 0, 2, 2, 3, 3, 4, 3, 2, 4, 3, 1, 1, 3, 0, 4, 3, 1, 3, 2, 3, 2, 3, 3, 3, 1, 0, 1, 0, 0, 1, 0, 0, 4, 1, 2, 1, 2, 1, 2, 0, 3, 1, 4, 4, 3, 4, 0, 1, 1, 3, 0, 3, 1, 2, 3, 1, 2, 0, 4, 0, 1, 2, 4, 3, 1, 3, 1, 1, 0, 4, 0, 2, 2, 2, 3, 1, 1, 2, 0, 4, 0, 2, 4, 0, 0, 4, 1, 3, 1, 4]
pubkeycol728 = [3, 2, 1, 0, 4, 1, 3, 0, 3, 4, 3, 2, 1, 2, 3, 4, 4, 0, 3, 3, 1, 4, 1, 4, 3, 1, 4, 1, 0, 2, 2, 4, 4, 0, 1, 4, 2, 4, 4, 0, 2, 3, 3, 4, 1, 3, 2, 1, 2, 2, 4, 1, 2, 4, 0, 0, 2, 3, 1, 0, 4, 2, 0, 4, 2, 4, 4, 3, 0, 3, 3, 2, 2, 1, 3, 1, 3, 2, 1, 0, 1, 4, 2, 4, 3, 3, 3, 1, 1, 1, 3, 2, 4, 4, 2, 3, 4, 4, 0, 4, 1, 4, 4, 1, 3, 0, 2, 2, 0, 0, 4, 0, 0, 2, 2, 3, 1, 3, 3, 4, 0, 0, 2, 1, 3, 4, 3, 2, 2, 0, 1, 1, 0, 0, 1, 4, 3, 2, 1, 3, 0, 4, 0, 2, 2, 4, 0, 4, 2, 4, 1, 3, 0, 2, 2, 4, 4, 2, 0, 1, 3, 1, 4, 2, 0, 0, 3, 0, 4, 1, 4, 0, 0, 1, 0, 3, 3, 0, 3, 4, 4, 2, 1, 4, 0, 2, 4, 3, 4, 0, 0, 1, 3, 1, 0, 4, 0, 1, 4, 3, 0, 2, 3, 1, 2, 1, 1, 3, 0, 1, 3, 2, 1, 0, 4, 3, 3, 3, 2, 3, 1, 2, 0, 2, 1, 4, 0, 3, 2, 4, 2, 4, 1, 4, 3, 2, 2, 2, 4, 4, 4, 3, 4, 2, 4, 1, 4, 0, 0, 3, 2, 3, 1, 4, 1, 0, 3, 0, 1, 4, 3, 0, 3, 4, 3, 1, 2, 4, 1, 4, 0, 0, 0, 4, 1, 1, 0, 4, 3, 4, 0, 2, 2, 1, 3, 1, 3, 1, 1, 4, 4, 0, 4, 0, 0, 3, 3, 2, 1, 1, 3, 1, 3, 3, 3, 3, 4, 3, 0, 0, 0, 1, 3, 4, 4, 0, 0, 2, 1, 1]
pubkeycol729 = [1, 1, 2, 4, 2, 0, 2, 3, 4, 3, 1, 4, 2, 1, 3, 3, 3, 2, 3, 4, 3, 3, 1, 1, 1, 2, 3, 1, 1, 1, 3, 2, 0, 4, 1, 3, 1, 1, 3, 4, 3, 2, 2, 0, 4, 3, 0, 0, 2, 4, 0, 0, 2, 2, 0, 0, 4, 1, 4, 3, 2, 4, 4, 4, 1, 3, 2, 0, 2, 0, 3, 4, 1, 4, 1, 2, 3, 0, 2, 4, 1, 4, 2, 3, 4, 4, 4, 0, 4, 4, 1, 4, 4, 4, 3, 4, 2, 4, 0, 4, 0, 2, 1, 1, 3, 0, 2, 3, 3, 4, 1, 1, 2, 4, 4, 1, 3, 1, 4, 3, 1, 4, 1, 2, 2, 1, 0, 0, 3, 4, 4, 4, 1, 2, 4, 4, 2, 0, 4, 0, 0, 2, 4, 3, 1, 3, 4, 1, 0, 4, 3, 1, 3, 1, 0, 2, 1, 4, 1, 2, 4, 1, 1, 4, 0, 4, 2, 4, 4, 0, 0, 4, 3, 2, 4, 0, 3, 4, 0, 0, 1, 1, 3, 2, 0, 3, 1, 0, 4, 1, 2, 4, 3, 3, 2, 0, 3, 4, 3, 0, 4, 3, 1, 2, 0, 2, 2, 3, 2, 3, 4, 3, 3, 0, 3, 3, 1, 2, 1, 3, 4, 1, 0, 4, 2, 2, 1, 4, 2, 3, 3, 3, 1, 2, 3, 2, 0, 1, 0, 1, 4, 4, 1, 1, 2, 2, 1, 1, 2, 0, 4, 3, 0, 1, 0, 1, 3, 4, 2, 3, 1, 2, 4, 2, 3, 4, 3, 4, 3, 0, 3, 2, 1, 1, 1, 1, 4, 4, 3, 4, 2, 3, 3, 2, 4, 0, 4, 4, 2, 2, 0, 3, 1, 4, 1, 3, 0, 0, 2, 4, 2, 2, 3, 0, 4, 0, 2, 4, 3, 2, 2, 4, 4, 0, 4, 1, 4, 0, 3, 0]
pubkeycol730 = [0, 4, 3, 2, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 4, 2, 2, 2, 2, 0, 1, 0, 1, 2, 4, 0, 4, 1, 3, 4, 2, 1, 2, 1, 1, 1, 4, 2, 2, 1, 3, 4, 4, 1, 0, 1, 4, 1, 1, 2, 2, 2, 0, 4, 4, 3, 3, 3, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 3, 2, 4, 1, 1, 2, 4, 0, 2, 3, 3, 4, 3, 3, 2, 3, 3, 0, 4, 0, 4, 2, 4, 1, 2, 0, 1, 0, 3, 0, 4, 1, 3, 3, 4, 4, 3, 4, 0, 0, 4, 4, 3, 4, 2, 1, 0, 4, 3, 1, 3, 4, 1, 2, 3, 1, 3, 4, 0, 2, 0, 2, 1, 0, 4, 2, 0, 2, 3, 0, 4, 1, 1, 1, 4, 1, 3, 3, 4, 2, 4, 4, 4, 4, 1, 2, 1, 0, 1, 4, 2, 1, 3, 2, 1, 4, 0, 2, 3, 4, 1, 2, 1, 3, 1, 1, 1, 3, 4, 2, 0, 3, 1, 4, 0, 0, 0, 3, 0, 4, 2, 2, 1, 4, 0, 2, 2, 3, 1, 4, 2, 3, 1, 0, 4, 1, 4, 0, 4, 3, 0, 2, 4, 4, 0, 0, 2, 4, 0, 2, 4, 2, 4, 3, 0, 4, 0, 3, 1, 1, 4, 4, 4, 2, 4, 4, 1, 2, 4, 3, 1, 2, 1, 1, 3, 3, 3, 0, 0, 2, 1, 3, 1, 1, 4, 3, 3, 0, 4, 1, 4, 4, 0, 4, 2, 1, 4, 4, 3, 0, 4, 1, 2, 3, 0, 0, 2, 2, 4, 3, 2, 3, 0, 0, 1, 0, 0, 2, 3, 2, 4, 2, 3, 4, 3, 0, 0, 2, 1, 1, 1, 0, 4, 3, 1, 2, 3, 0, 0, 1, 1, 2, 0, 2, 4, 0, 3, 3, 0, 3, 3]
pubkeycol731 = [4, 1, 2, 4, 2, 2, 4, 2, 3, 3, 2, 1, 3, 2, 1, 0, 4, 2, 2, 4, 1, 1, 0, 4, 1, 0, 4, 3, 3, 0, 0, 3, 2, 3, 2, 4, 4, 1, 0, 2, 0, 3, 0, 0, 1, 1, 1, 3, 3, 4, 3, 4, 0, 4, 2, 4, 0, 3, 3, 0, 4, 1, 0, 3, 4, 1, 2, 0, 3, 1, 4, 0, 1, 3, 2, 1, 2, 2, 2, 0, 0, 3, 2, 3, 0, 3, 1, 1, 3, 1, 2, 2, 3, 0, 0, 0, 3, 0, 0, 4, 0, 1, 2, 4, 4, 4, 4, 0, 3, 3, 0, 3, 1, 4, 2, 4, 1, 1, 2, 4, 2, 2, 3, 4, 0, 0, 4, 4, 4, 4, 0, 1, 4, 4, 3, 3, 2, 2, 3, 1, 2, 2, 0, 4, 3, 1, 1, 2, 3, 0, 4, 3, 2, 1, 3, 0, 4, 1, 1, 1, 1, 0, 4, 3, 1, 1, 3, 4, 4, 4, 4, 2, 1, 1, 1, 4, 4, 3, 0, 1, 3, 3, 4, 1, 2, 0, 0, 1, 4, 4, 1, 0, 4, 1, 4, 0, 4, 4, 4, 4, 3, 0, 3, 1, 2, 0, 4, 3, 2, 0, 4, 3, 1, 3, 4, 1, 3, 1, 4, 2, 3, 4, 2, 1, 0, 1, 1, 2, 4, 3, 1, 3, 3, 4, 0, 0, 3, 2, 4, 1, 0, 2, 3, 0, 1, 0, 4, 4, 3, 4, 0, 1, 2, 0, 3, 4, 2, 3, 0, 1, 2, 2, 2, 3, 2, 0, 4, 1, 3, 3, 2, 0, 1, 1, 1, 1, 4, 1, 3, 0, 4, 2, 0, 0, 4, 2, 3, 2, 2, 3, 4, 1, 2, 0, 4, 2, 0, 2, 2, 2, 1, 4, 0, 3, 1, 3, 4, 4, 3, 2, 1, 3, 4, 1, 3, 1, 3, 3, 1, 0]
pubkeycol732 = [2, 4, 0, 4, 4, 3, 4, 3, 0, 4, 2, 2, 3, 4, 3, 1, 3, 3, 2, 2, 4, 1, 0, 2, 1, 2, 4, 2, 0, 1, 2, 3, 3, 2, 2, 2, 1, 4, 0, 1, 2, 3, 4, 2, 4, 4, 3, 3, 4, 0, 0, 4, 2, 2, 4, 1, 0, 1, 0, 3, 4, 2, 1, 2, 1, 3, 2, 0, 4, 1, 0, 1, 1, 4, 3, 0, 3, 4, 3, 2, 2, 0, 0, 0, 4, 2, 1, 0, 0, 4, 0, 4, 2, 4, 2, 2, 4, 2, 4, 4, 1, 0, 4, 3, 4, 2, 3, 3, 4, 2, 1, 2, 0, 2, 4, 1, 3, 0, 4, 2, 0, 0, 3, 1, 3, 2, 1, 0, 1, 1, 1, 4, 3, 4, 2, 0, 4, 0, 0, 3, 4, 0, 4, 3, 3, 4, 3, 4, 2, 0, 0, 2, 4, 4, 4, 3, 4, 3, 1, 1, 3, 0, 2, 1, 4, 1, 4, 0, 2, 3, 4, 0, 0, 4, 3, 1, 2, 0, 3, 3, 2, 4, 4, 1, 3, 0, 1, 4, 0, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 3, 2, 1, 3, 1, 4, 3, 0, 4, 2, 4, 1, 0, 1, 3, 0, 1, 0, 2, 3, 2, 1, 3, 0, 1, 4, 4, 4, 2, 4, 2, 4, 4, 1, 4, 3, 1, 2, 4, 2, 4, 1, 4, 1, 3, 3, 3, 3, 1, 0, 0, 0, 2, 4, 1, 2, 1, 0, 2, 3, 1, 1, 2, 4, 1, 1, 1, 0, 2, 4, 0, 2, 3, 4, 2, 0, 2, 0, 3, 4, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 3, 1, 2, 2, 1, 2, 4, 2, 2, 4, 2, 4, 0, 3, 1, 0, 2, 1, 4, 4, 0, 2, 1, 2]
pubkeycol733 = [4, 3, 0, 0, 2, 2, 2, 1, 4, 0, 2, 1, 1, 1, 3, 0, 4, 4, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 4, 0, 0, 0, 4, 2, 0, 2, 3, 2, 1, 0, 2, 2, 4, 4, 2, 3, 3, 1, 1, 4, 4, 1, 1, 4, 0, 4, 0, 2, 2, 4, 2, 0, 4, 3, 3, 0, 3, 0, 3, 2, 4, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 3, 2, 0, 0, 2, 2, 2, 3, 4, 3, 2, 0, 1, 2, 3, 0, 0, 2, 2, 4, 1, 0, 3, 0, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 1, 1, 1, 1, 4, 2, 0, 4, 1, 0, 4, 1, 1, 4, 1, 1, 0, 2, 2, 0, 2, 4, 4, 0, 4, 2, 3, 4, 0, 2, 0, 0, 0, 3, 0, 2, 0, 2, 3, 0, 2, 0, 4, 2, 2, 1, 1, 2, 3, 4, 1, 3, 4, 1, 1, 3, 4, 2, 0, 0, 2, 4, 3, 1, 1, 3, 2, 1, 3, 0, 4, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 4, 2, 1, 2, 0, 0, 2, 2, 4, 0, 1, 4, 3, 1, 3, 4, 2, 0, 3, 3, 3, 3, 0, 0, 0, 2, 4, 1, 2, 0, 4, 2, 0, 2, 1, 1, 2, 2, 3, 3, 1, 4, 0, 4, 4, 0, 2, 1, 4, 1, 3, 3, 4, 1, 2, 1, 3, 1, 3, 3, 1, 0, 1, 1, 1, 2, 1, 3, 2, 4, 4, 4, 0, 2, 0, 0, 3, 1, 0, 1, 0, 0, 3, 2, 1, 3, 4, 2, 0, 1, 2, 4, 3, 2, 0, 2, 4, 4, 3, 4, 0, 4, 2, 2, 1, 1, 2, 3, 3, 2, 4, 1, 2, 2, 3, 1]
pubkeycol734 = [4, 4, 3, 4, 0, 1, 3, 4, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 1, 3, 2, 2, 0, 2, 2, 0, 3, 4, 4, 1, 0, 2, 1, 3, 4, 1, 3, 0, 2, 1, 0, 3, 2, 3, 2, 1, 2, 1, 0, 0, 2, 4, 1, 4, 2, 2, 1, 2, 4, 1, 3, 0, 4, 4, 1, 2, 0, 4, 1, 3, 2, 4, 4, 1, 2, 3, 0, 2, 4, 0, 3, 4, 3, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 3, 3, 4, 3, 3, 3, 1, 2, 2, 3, 0, 0, 1, 0, 1, 4, 2, 2, 0, 0, 3, 0, 3, 0, 1, 0, 4, 0, 4, 2, 3, 0, 4, 4, 3, 0, 4, 4, 0, 3, 0, 1, 4, 3, 2, 3, 1, 1, 2, 2, 0, 2, 3, 3, 3, 1, 0, 3, 0, 0, 0, 2, 1, 3, 4, 3, 3, 2, 0, 1, 3, 1, 1, 3, 4, 2, 2, 3, 4, 4, 2, 1, 2, 2, 2, 4, 4, 4, 3, 2, 4, 3, 3, 2, 1, 1, 1, 4, 1, 4, 2, 1, 4, 0, 1, 0, 1, 0, 2, 4, 3, 0, 1, 4, 3, 0, 2, 3, 1, 2, 3, 0, 1, 2, 4, 1, 3, 3, 1, 0, 4, 4, 4, 2, 3, 0, 1, 0, 4, 3, 2, 1, 3, 1, 1, 0, 1, 1, 3, 2, 2, 1, 4, 0, 1, 2, 3, 4, 3, 0, 3, 2, 1, 2, 4, 3, 0, 3, 2, 4, 3, 1, 3, 2, 4, 4, 0, 2, 1, 1, 4, 0, 4, 1, 2, 3, 2, 0, 4, 3, 2, 4, 4, 3, 3, 0, 3, 2, 0, 0, 0, 3, 1, 1, 4, 3, 1, 3, 0, 0, 4, 0, 2, 4, 4, 3, 1, 1, 4, 1, 2, 0, 3, 3, 2]
pubkeycol735 = [0, 4, 1, 3, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 1, 2, 3, 0, 4, 1, 1, 0, 2, 3, 4, 0, 1, 3, 1, 1, 0, 1, 2, 0, 0, 2, 2, 4, 0, 3, 1, 1, 4, 0, 2, 3, 0, 1, 3, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 3, 4, 4, 4, 2, 0, 1, 4, 3, 3, 1, 0, 0, 4, 3, 3, 4, 0, 4, 3, 4, 1, 3, 1, 1, 1, 1, 4, 2, 3, 0, 3, 3, 0, 4, 4, 4, 0, 1, 1, 4, 1, 3, 0, 0, 4, 2, 2, 4, 4, 3, 2, 1, 3, 1, 1, 3, 1, 2, 1, 2, 3, 1, 1, 1, 2, 3, 2, 2, 3, 1, 2, 1, 4, 1, 4, 4, 0, 3, 2, 0, 4, 2, 0, 4, 0, 3, 4, 4, 2, 4, 0, 1, 3, 3, 0, 0, 2, 2, 2, 0, 4, 4, 3, 2, 1, 3, 0, 3, 1, 2, 4, 3, 3, 2, 4, 1, 1, 0, 2, 3, 1, 0, 2, 1, 2, 0, 0, 3, 4, 0, 1, 2, 3, 3, 4, 0, 3, 4, 4, 2, 3, 3, 4, 4, 3, 0, 2, 2, 2, 4, 1, 0, 0, 1, 4, 1, 3, 2, 1, 0, 3, 4, 1, 2, 0, 1, 4, 4, 4, 0, 3, 0, 3, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 3, 4, 2, 1, 4, 3, 2, 3, 1, 2, 4, 3, 3, 2, 0, 1, 1, 1, 3, 4, 4, 2, 2, 0, 3, 2, 1, 3, 4, 3, 1, 4, 3, 0, 4, 0, 4, 2, 1, 2, 0, 3, 3, 2, 2, 2, 3, 0, 4, 0, 1, 1, 2, 4, 1, 1, 2, 3, 1, 0, 2, 3, 2, 2, 4, 0, 0, 0, 4, 3, 1]
pubkeycol736 = [3, 4, 0, 0, 3, 1, 2, 1, 4, 4, 3, 2, 2, 3, 3, 0, 3, 0, 4, 3, 2, 0, 2, 2, 0, 0, 4, 4, 0, 1, 4, 2, 4, 0, 2, 3, 3, 2, 1, 1, 1, 0, 3, 3, 2, 0, 4, 3, 3, 0, 1, 1, 2, 3, 3, 4, 0, 3, 4, 1, 3, 3, 4, 2, 1, 4, 1, 3, 2, 0, 3, 2, 3, 4, 1, 0, 2, 2, 4, 4, 2, 1, 1, 4, 3, 0, 4, 3, 3, 1, 0, 1, 2, 3, 0, 2, 3, 2, 0, 0, 3, 1, 2, 3, 1, 0, 2, 3, 0, 3, 3, 2, 3, 1, 3, 0, 4, 1, 0, 0, 0, 0, 2, 4, 2, 4, 1, 3, 0, 2, 4, 4, 1, 4, 1, 0, 1, 4, 3, 1, 3, 1, 0, 2, 0, 3, 1, 3, 3, 4, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 4, 4, 3, 1, 0, 0, 2, 2, 4, 4, 1, 1, 3, 2, 1, 0, 3, 2, 4, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 0, 1, 2, 2, 4, 2, 4, 3, 1, 2, 0, 4, 1, 0, 2, 2, 0, 4, 3, 1, 1, 4, 2, 1, 0, 4, 3, 0, 2, 2, 2, 0, 3, 4, 3, 1, 0, 2, 0, 3, 3, 3, 2, 1, 4, 1, 1, 3, 4, 4, 0, 1, 4, 3, 3, 0, 0, 2, 3, 2, 2, 4, 1, 0, 2, 2, 4, 1, 2, 0, 2, 0, 0, 3, 0, 3, 1, 0, 3, 4, 1, 4, 0, 2, 1, 2, 4, 2, 4, 4, 4, 1, 0, 0, 4, 4, 3, 2, 2, 1, 3, 1, 4, 4, 3, 3, 4, 1, 4, 3, 4, 1, 0, 0, 0, 4, 2, 2, 2, 0, 2, 0, 2, 0, 0, 4, 0, 1]
pubkeycol737 = [4, 2, 0, 3, 1, 3, 3, 0, 0, 4, 2, 0, 0, 4, 3, 1, 0, 4, 3, 4, 0, 0, 3, 0, 0, 4, 3, 1, 1, 1, 1, 1, 0, 4, 3, 4, 0, 3, 2, 3, 2, 2, 4, 3, 4, 3, 1, 2, 2, 1, 3, 3, 1, 3, 3, 3, 1, 3, 1, 4, 2, 3, 0, 4, 0, 1, 0, 2, 1, 3, 4, 3, 1, 3, 2, 0, 3, 4, 2, 1, 0, 3, 2, 4, 4, 4, 1, 4, 0, 1, 3, 1, 4, 3, 3, 4, 4, 2, 1, 4, 2, 3, 1, 1, 1, 4, 3, 0, 3, 1, 4, 3, 4, 4, 0, 0, 1, 2, 3, 2, 0, 4, 2, 2, 2, 4, 1, 2, 3, 4, 0, 2, 3, 1, 1, 4, 1, 4, 1, 3, 1, 1, 3, 0, 0, 3, 3, 3, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 0, 3, 1, 3, 1, 4, 0, 3, 3, 1, 0, 3, 2, 3, 2, 1, 3, 2, 3, 3, 0, 0, 4, 4, 3, 1, 1, 1, 0, 0, 3, 3, 0, 1, 3, 4, 3, 3, 2, 0, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 0, 1, 2, 3, 2, 4, 0, 2, 1, 2, 3, 1, 4, 4, 0, 4, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 3, 0, 1, 0, 3, 3, 4, 2, 0, 4, 1, 1, 0, 2, 4, 1, 3, 0, 3, 1, 0, 0, 1, 4, 3, 3, 2, 1, 1, 0, 1, 2, 0, 1, 2, 3, 2, 4, 0, 1, 0, 1, 2, 3, 1, 3, 0, 2, 4, 3, 4, 0, 1, 3, 4, 0, 3, 3, 2, 2, 4, 0, 1, 0, 1, 2, 2, 0, 4, 2, 2, 2, 2, 0, 4, 2, 3, 4, 0, 3, 4, 2, 4, 0]
pubkeycol738 = [2, 3, 0, 0, 4, 3, 4, 0, 0, 1, 1, 2, 1, 2, 0, 1, 4, 3, 1, 4, 4, 4, 3, 1, 3, 4, 3, 4, 2, 1, 0, 4, 1, 0, 4, 0, 3, 2, 2, 4, 2, 2, 4, 2, 4, 0, 4, 1, 4, 0, 1, 4, 2, 1, 2, 3, 1, 4, 3, 2, 0, 2, 0, 4, 0, 4, 2, 3, 2, 3, 4, 2, 4, 4, 1, 1, 3, 0, 1, 2, 2, 1, 0, 3, 0, 1, 4, 1, 2, 0, 4, 2, 3, 1, 0, 0, 2, 0, 0, 0, 3, 4, 2, 0, 0, 1, 1, 1, 3, 2, 2, 0, 2, 1, 2, 4, 0, 1, 1, 1, 3, 0, 1, 0, 4, 3, 1, 0, 4, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 4, 4, 3, 2, 2, 0, 3, 4, 2, 3, 0, 4, 4, 0, 3, 4, 2, 2, 1, 3, 3, 1, 4, 2, 0, 2, 2, 1, 1, 4, 1, 1, 4, 2, 2, 3, 3, 2, 2, 3, 3, 2, 4, 1, 4, 4, 3, 0, 3, 0, 3, 3, 0, 0, 0, 1, 0, 3, 1, 2, 0, 4, 3, 3, 2, 2, 4, 2, 0, 0, 3, 1, 4, 3, 4, 0, 1, 4, 0, 1, 0, 0, 1, 0, 2, 4, 2, 4, 4, 3, 0, 2, 2, 4, 2, 1, 3, 1, 2, 4, 4, 2, 0, 2, 3, 2, 3, 1, 3, 3, 1, 2, 3, 1, 2, 4, 0, 2, 1, 2, 1, 4, 1, 0, 0, 3, 2, 1, 4, 2, 1, 0, 0, 2, 0, 3, 1, 1, 1, 4, 0, 3, 2, 1, 4, 1, 2, 3, 0, 0, 3, 2, 3, 4, 3, 3, 2, 3, 0, 3, 1, 1, 0, 4, 1, 4, 4, 2, 2, 3, 3, 3, 4, 4, 0, 4, 1, 3, 4, 0, 4]
pubkeycol739 = [4, 2, 2, 3, 1, 2, 3, 0, 4, 4, 0, 4, 2, 3, 3, 3, 0, 0, 3, 0, 3, 2, 2, 3, 1, 0, 3, 1, 0, 1, 1, 2, 1, 0, 4, 1, 2, 2, 0, 2, 2, 3, 3, 1, 4, 2, 0, 0, 1, 2, 4, 4, 1, 3, 4, 4, 3, 0, 0, 1, 2, 1, 4, 0, 0, 4, 2, 4, 1, 3, 2, 1, 1, 1, 3, 3, 2, 0, 2, 4, 1, 0, 3, 0, 3, 0, 4, 4, 1, 2, 0, 3, 0, 2, 1, 1, 3, 4, 1, 1, 3, 4, 2, 3, 4, 0, 2, 4, 4, 4, 2, 3, 4, 3, 3, 4, 1, 4, 1, 2, 0, 1, 2, 4, 4, 4, 3, 4, 3, 2, 1, 2, 0, 4, 3, 2, 1, 4, 3, 0, 0, 1, 0, 1, 3, 2, 2, 2, 0, 3, 3, 1, 0, 4, 1, 0, 3, 4, 3, 4, 0, 2, 2, 3, 4, 3, 1, 0, 4, 0, 4, 3, 1, 0, 1, 4, 4, 3, 4, 3, 4, 3, 1, 3, 0, 3, 1, 0, 3, 0, 2, 3, 2, 4, 1, 1, 3, 0, 0, 0, 0, 3, 0, 0, 3, 1, 4, 1, 3, 1, 0, 3, 2, 2, 4, 0, 0, 2, 0, 3, 2, 0, 2, 0, 1, 0, 0, 4, 3, 1, 1, 0, 4, 3, 4, 0, 3, 4, 1, 3, 4, 3, 2, 1, 1, 3, 4, 1, 3, 0, 0, 0, 2, 0, 2, 1, 1, 4, 2, 2, 3, 4, 0, 2, 1, 0, 0, 2, 4, 3, 0, 0, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 4, 2, 0, 3, 1, 1, 1, 0, 4, 1, 1, 3, 0, 4, 1, 0, 0, 3, 0, 0, 0, 3, 2, 4, 2, 2, 3, 2, 2, 2, 4, 0, 2, 2, 0, 3]
pubkeycol740 = [2, 0, 4, 0, 2, 3, 0, 0, 1, 3, 3, 2, 3, 1, 3, 0, 4, 3, 4, 1, 1, 1, 3, 0, 0, 4, 1, 4, 1, 2, 2, 4, 2, 4, 1, 0, 4, 4, 4, 1, 4, 3, 4, 2, 4, 2, 0, 0, 1, 3, 4, 3, 4, 0, 0, 0, 0, 3, 0, 0, 3, 2, 1, 3, 3, 1, 3, 2, 0, 0, 1, 4, 2, 4, 1, 0, 1, 3, 0, 2, 2, 0, 4, 1, 1, 3, 0, 2, 1, 0, 4, 4, 2, 0, 0, 4, 3, 0, 2, 0, 4, 0, 4, 3, 2, 4, 3, 2, 3, 4, 2, 1, 0, 2, 3, 0, 0, 0, 2, 2, 4, 4, 3, 4, 1, 1, 3, 0, 2, 1, 1, 4, 1, 0, 4, 0, 3, 4, 2, 1, 0, 1, 0, 3, 0, 1, 1, 4, 3, 4, 4, 0, 0, 0, 0, 1, 2, 2, 0, 1, 3, 3, 1, 1, 1, 3, 4, 0, 2, 0, 0, 0, 3, 3, 0, 3, 1, 1, 2, 0, 4, 2, 3, 4, 4, 3, 0, 0, 1, 1, 4, 0, 3, 4, 4, 1, 2, 3, 2, 4, 2, 1, 3, 0, 2, 0, 4, 3, 2, 0, 2, 4, 3, 4, 3, 2, 0, 0, 0, 1, 3, 0, 0, 3, 2, 4, 0, 3, 3, 1, 1, 0, 2, 0, 1, 1, 4, 1, 1, 2, 4, 0, 0, 0, 4, 2, 0, 0, 1, 2, 4, 4, 2, 0, 4, 3, 4, 4, 2, 0, 1, 3, 0, 3, 3, 4, 3, 4, 0, 0, 4, 3, 0, 3, 1, 3, 1, 2, 0, 0, 4, 0, 4, 1, 0, 4, 3, 3, 1, 2, 0, 4, 3, 3, 4, 0, 0, 2, 4, 3, 1, 0, 0, 3, 3, 2, 4, 1, 0, 3, 1, 0, 0, 0, 1, 4, 0, 3, 2, 4]
pubkeycol741 = [4, 3, 4, 2, 2, 4, 0, 1, 2, 0, 3, 4, 4, 4, 1, 1, 1, 1, 3, 3, 2, 0, 3, 3, 0, 2, 1, 0, 3, 4, 0, 0, 2, 3, 0, 0, 0, 0, 2, 1, 4, 4, 4, 0, 4, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 3, 4, 3, 2, 3, 3, 1, 1, 0, 0, 4, 2, 3, 4, 1, 1, 2, 1, 2, 4, 3, 1, 1, 4, 2, 0, 0, 0, 3, 3, 0, 3, 1, 0, 2, 2, 4, 4, 0, 3, 0, 4, 0, 0, 4, 4, 1, 3, 0, 0, 4, 3, 2, 4, 3, 4, 3, 2, 1, 4, 0, 3, 3, 0, 1, 1, 0, 3, 0, 1, 3, 1, 4, 1, 1, 1, 3, 2, 2, 4, 4, 0, 3, 4, 2, 3, 3, 2, 1, 3, 3, 1, 0, 2, 4, 3, 0, 3, 4, 0, 4, 3, 4, 3, 2, 3, 2, 3, 2, 4, 3, 0, 3, 3, 1, 3, 4, 0, 2, 2, 0, 2, 3, 4, 1, 1, 2, 0, 2, 4, 4, 3, 1, 0, 3, 1, 1, 4, 1, 1, 2, 2, 4, 2, 0, 1, 0, 0, 4, 4, 3, 4, 1, 4, 4, 4, 1, 2, 2, 2, 4, 0, 3, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 3, 2, 1, 2, 3, 1, 1, 2, 2, 1, 2, 0, 1, 4, 2, 4, 1, 1, 0, 2, 0, 0, 4, 0, 2, 1, 1, 3, 1, 2, 2, 2, 0, 0, 2, 0, 4, 1, 1, 4, 1, 0, 1, 3, 2, 1, 0, 1, 4, 4, 2, 0, 0, 2, 1, 4, 1, 0, 3, 1, 0, 0, 0, 2, 0, 2, 1, 1, 4, 0, 1, 3, 1, 3, 1, 4, 0, 3, 3, 4, 3, 3, 0, 0, 1, 2, 2, 1, 4, 4, 1, 2]
pubkeycol742 = [1, 0, 1, 3, 4, 0, 4, 2, 3, 0, 3, 0, 2, 4, 3, 3, 3, 1, 2, 0, 4, 4, 2, 4, 4, 3, 2, 3, 2, 4, 2, 4, 0, 4, 4, 3, 1, 4, 3, 2, 2, 3, 1, 4, 2, 2, 4, 0, 2, 3, 2, 0, 4, 1, 1, 3, 3, 0, 3, 4, 2, 2, 4, 2, 1, 0, 4, 2, 4, 1, 4, 1, 0, 1, 2, 4, 4, 4, 3, 1, 1, 1, 1, 4, 4, 2, 0, 3, 3, 0, 3, 1, 0, 0, 0, 3, 0, 0, 4, 3, 4, 0, 4, 0, 4, 4, 3, 3, 4, 4, 1, 0, 1, 3, 2, 2, 0, 4, 4, 3, 2, 3, 0, 1, 0, 3, 3, 3, 2, 2, 0, 1, 3, 2, 3, 0, 3, 4, 1, 1, 0, 4, 2, 1, 4, 3, 2, 3, 4, 0, 4, 3, 1, 3, 3, 0, 0, 4, 1, 4, 2, 2, 4, 4, 2, 1, 1, 1, 3, 4, 2, 2, 3, 0, 3, 2, 0, 2, 3, 0, 1, 3, 0, 0, 3, 3, 0, 4, 3, 1, 1, 0, 3, 0, 3, 2, 3, 4, 1, 4, 0, 4, 4, 2, 2, 1, 3, 2, 1, 2, 1, 4, 1, 1, 4, 3, 2, 2, 0, 3, 4, 3, 1, 2, 0, 1, 3, 0, 4, 1, 2, 0, 0, 4, 3, 4, 2, 2, 1, 1, 1, 2, 0, 0, 4, 3, 2, 3, 2, 3, 0, 3, 1, 3, 0, 0, 4, 3, 4, 4, 1, 3, 2, 1, 4, 3, 4, 0, 3, 1, 2, 4, 1, 3, 1, 0, 0, 4, 2, 2, 3, 3, 1, 4, 0, 4, 0, 4, 0, 2, 1, 4, 2, 4, 4, 3, 3, 1, 0, 0, 2, 0, 3, 1, 1, 2, 1, 1, 1, 0, 3, 2, 3, 4, 4, 3, 0, 3, 3, 3]
pubkeycol743 = [0, 0, 0, 0, 4, 1, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 3, 0, 0, 1, 2, 1, 3, 3, 0, 4, 2, 4, 3, 4, 2, 2, 2, 0, 1, 2, 3, 3, 1, 2, 4, 2, 3, 0, 3, 2, 1, 2, 4, 2, 2, 0, 2, 0, 4, 0, 4, 4, 1, 0, 4, 3, 3, 0, 2, 4, 4, 3, 3, 1, 2, 1, 1, 4, 1, 1, 1, 3, 0, 2, 4, 2, 1, 3, 3, 0, 3, 3, 2, 0, 1, 2, 3, 3, 0, 3, 1, 3, 1, 4, 4, 2, 1, 2, 1, 1, 4, 3, 0, 3, 4, 2, 1, 0, 4, 4, 1, 2, 1, 0, 0, 2, 4, 1, 0, 2, 0, 1, 3, 1, 4, 0, 3, 3, 0, 2, 0, 4, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 4, 2, 4, 3, 1, 2, 0, 2, 4, 1, 4, 3, 0, 3, 3, 3, 1, 4, 4, 2, 2, 2, 4, 0, 0, 3, 2, 0, 1, 4, 4, 2, 0, 4, 4, 4, 0, 1, 2, 3, 0, 2, 4, 2, 3, 1, 4, 0, 1, 1, 3, 3, 0, 4, 2, 2, 3, 3, 1, 4, 2, 1, 3, 3, 4, 2, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 3, 1, 2, 4, 3, 4, 0, 3, 0, 0, 1, 1, 2, 4, 4, 4, 1, 3, 0, 2, 3, 0, 1, 2, 1, 1, 3, 0, 3, 2, 3, 0, 4, 1, 0, 4, 0, 2, 3, 0, 0, 2, 4, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 4, 2, 1, 0, 0, 2, 1, 1, 2, 0, 4, 4, 3, 0, 4, 0, 4, 0, 0, 2, 2, 0, 0, 4, 4, 4, 1, 2, 1, 2, 1, 2, 3, 0, 1, 2, 3, 0, 2, 3]
pubkeycol744 = [2, 4, 4, 3, 4, 0, 4, 4, 3, 4, 2, 4, 4, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 4, 3, 2, 3, 3, 0, 3, 1, 4, 2, 1, 4, 2, 1, 4, 3, 1, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 0, 1, 4, 3, 1, 4, 2, 1, 3, 1, 4, 3, 3, 0, 3, 0, 3, 4, 1, 2, 3, 4, 0, 3, 0, 0, 4, 2, 0, 0, 2, 4, 2, 3, 3, 3, 4, 0, 1, 0, 4, 4, 2, 0, 4, 1, 0, 2, 1, 0, 2, 0, 3, 0, 3, 1, 1, 3, 0, 2, 2, 4, 1, 0, 2, 4, 1, 1, 3, 3, 2, 0, 3, 3, 4, 0, 3, 0, 3, 2, 2, 4, 3, 1, 3, 0, 4, 2, 4, 1, 4, 4, 2, 1, 0, 0, 1, 1, 0, 4, 1, 2, 1, 4, 4, 0, 0, 4, 4, 3, 1, 0, 3, 2, 4, 1, 1, 3, 3, 4, 2, 4, 0, 0, 0, 2, 2, 4, 0, 4, 4, 3, 2, 3, 2, 0, 1, 0, 3, 3, 0, 2, 3, 2, 1, 2, 0, 3, 4, 4, 2, 2, 4, 4, 3, 2, 3, 2, 1, 0, 2, 4, 2, 4, 4, 0, 4, 1, 0, 3, 3, 0, 2, 3, 1, 4, 1, 2, 3, 4, 3, 0, 1, 3, 3, 2, 4, 4, 0, 0, 3, 4, 0, 0, 1, 3, 4, 2, 2, 4, 3, 0, 1, 1, 4, 2, 4, 0, 0, 3, 2, 1, 2, 0, 0, 2, 4, 0, 0, 4, 1, 2, 0, 4, 1, 2, 0, 1, 2, 3, 1, 3, 2, 3, 1, 3, 1, 0, 0, 2, 4, 2, 3, 4, 1, 3, 4, 3, 0, 3, 2, 4, 0, 4, 4, 2, 1, 0, 0, 2, 3, 1, 4, 4, 3, 0]
pubkeycol745 = [0, 2, 0, 2, 3, 0, 0, 4, 3, 3, 2, 1, 0, 2, 1, 0, 1, 0, 2, 3, 3, 3, 2, 2, 2, 2, 0, 1, 4, 0, 3, 3, 1, 2, 2, 4, 2, 3, 3, 2, 1, 1, 3, 2, 1, 4, 0, 1, 4, 2, 3, 3, 4, 0, 4, 3, 1, 4, 4, 0, 4, 3, 3, 2, 0, 2, 3, 2, 3, 3, 0, 2, 2, 3, 4, 2, 1, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 1, 4, 3, 3, 0, 3, 1, 0, 1, 1, 2, 2, 4, 4, 0, 2, 0, 2, 2, 4, 1, 3, 3, 1, 1, 1, 3, 0, 4, 4, 2, 0, 2, 3, 1, 1, 1, 2, 2, 1, 0, 4, 2, 3, 0, 1, 4, 0, 0, 2, 1, 4, 3, 4, 0, 2, 4, 4, 4, 0, 4, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 4, 0, 4, 4, 0, 0, 0, 4, 2, 2, 1, 2, 3, 4, 0, 1, 2, 3, 0, 1, 0, 0, 2, 2, 3, 1, 4, 0, 4, 0, 1, 1, 1, 1, 3, 4, 1, 1, 0, 3, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 4, 3, 0, 0, 0, 1, 4, 1, 3, 1, 0, 2, 1, 4, 0, 2, 3, 3, 1, 1, 0, 1, 2, 2, 1, 2, 4, 3, 3, 4, 3, 1, 3, 1, 3, 1, 1, 3, 1, 2, 4, 2, 2, 4, 2, 4, 1, 4, 4, 1, 1, 2, 1, 1, 4, 3, 3, 4, 4, 4, 2, 1, 3, 1, 4, 3, 3, 4, 4, 4, 1, 1, 0, 4, 0, 3, 0, 0, 1, 2, 1, 1, 1, 3, 4, 3, 4, 1, 0, 4, 0, 3, 1, 3, 3, 3, 4, 4, 4, 4, 0, 2, 2, 0, 3, 4, 1, 1, 2]
pubkeycol746 = [0, 0, 3, 0, 0, 0, 0, 4, 1, 1, 0, 3, 2, 0, 2, 0, 2, 0, 4, 1, 3, 1, 4, 2, 4, 0, 4, 3, 3, 3, 2, 1, 2, 2, 4, 3, 1, 3, 1, 0, 3, 1, 3, 3, 4, 0, 0, 3, 0, 2, 2, 4, 3, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 4, 4, 0, 2, 2, 0, 1, 2, 1, 3, 2, 3, 4, 2, 1, 1, 1, 1, 4, 3, 2, 2, 4, 4, 3, 2, 1, 4, 0, 4, 1, 3, 0, 4, 3, 1, 3, 1, 0, 1, 0, 0, 3, 0, 3, 0, 4, 3, 2, 1, 3, 3, 4, 0, 2, 3, 3, 3, 0, 4, 3, 2, 1, 1, 2, 1, 2, 0, 3, 4, 1, 1, 1, 1, 1, 3, 0, 0, 2, 4, 1, 4, 2, 3, 3, 4, 1, 4, 2, 0, 4, 2, 0, 3, 0, 1, 1, 2, 0, 3, 2, 3, 3, 1, 0, 1, 2, 4, 1, 3, 4, 0, 0, 3, 1, 2, 2, 1, 1, 1, 3, 0, 2, 1, 0, 0, 0, 2, 0, 4, 3, 0, 1, 0, 3, 0, 0, 3, 3, 3, 3, 4, 2, 1, 1, 2, 4, 2, 0, 4, 3, 4, 2, 0, 1, 2, 3, 1, 2, 1, 0, 0, 0, 0, 0, 4, 3, 0, 1, 4, 4, 3, 0, 3, 2, 0, 2, 4, 1, 0, 3, 2, 3, 0, 3, 4, 3, 1, 2, 4, 0, 3, 0, 3, 3, 0, 2, 0, 2, 4, 3, 3, 4, 4, 4, 4, 4, 2, 2, 0, 4, 0, 4, 3, 3, 2, 1, 0, 4, 0, 2, 4, 3, 4, 4, 4, 3, 0, 3, 1, 2, 1, 4, 0, 3, 0, 0, 4, 0, 4, 2, 3, 2, 4, 1, 2, 4, 0, 1, 1, 4, 1]
pubkeycol747 = [4, 3, 3, 2, 4, 0, 4, 2, 4, 1, 2, 0, 2, 3, 3, 4, 4, 0, 3, 2, 4, 3, 0, 3, 3, 1, 0, 4, 3, 2, 4, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 4, 3, 1, 2, 4, 0, 0, 2, 2, 3, 1, 2, 1, 3, 1, 0, 1, 2, 3, 4, 1, 3, 0, 3, 1, 0, 3, 4, 3, 3, 4, 0, 1, 3, 1, 0, 0, 2, 4, 0, 4, 1, 3, 3, 4, 3, 4, 3, 4, 3, 2, 4, 4, 3, 3, 3, 0, 0, 1, 4, 2, 2, 3, 2, 4, 1, 0, 2, 3, 1, 4, 4, 4, 0, 1, 0, 2, 3, 2, 1, 2, 2, 1, 2, 4, 0, 3, 3, 3, 0, 4, 2, 2, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 4, 1, 4, 0, 2, 2, 0, 3, 4, 4, 4, 4, 4, 4, 0, 2, 3, 2, 3, 3, 1, 4, 2, 2, 4, 1, 0, 0, 4, 3, 1, 3, 4, 2, 1, 3, 4, 4, 0, 0, 4, 2, 1, 4, 2, 2, 2, 2, 4, 0, 0, 0, 2, 3, 2, 2, 3, 3, 4, 1, 2, 2, 2, 4, 3, 0, 0, 0, 3, 1, 4, 3, 0, 3, 3, 4, 4, 0, 4, 2, 1, 1, 1, 0, 4, 0, 0, 3, 0, 4, 0, 1, 1, 1, 0, 4, 4, 0, 0, 0, 2, 4, 2, 1, 1, 4, 3, 0, 0, 2, 4, 0, 2, 2, 3, 0, 2, 0, 3, 1, 0, 4, 3, 1, 3, 3, 3, 4, 2, 1, 2, 3, 4, 4, 2, 2, 3, 3, 1, 0, 1, 1, 3, 0, 1, 0, 1, 1, 2, 3, 1, 4, 2, 1, 0, 4, 3, 2, 3, 2, 4, 2, 4, 0, 2, 4, 1, 3, 4, 3, 0, 0, 1, 4, 4]
pubkeycol748 = [1, 1, 2, 3, 3, 1, 1, 3, 2, 3, 2, 0, 2, 1, 4, 3, 1, 3, 0, 2, 3, 3, 4, 2, 3, 0, 2, 2, 0, 3, 2, 4, 3, 1, 0, 0, 4, 4, 1, 4, 3, 1, 0, 1, 3, 2, 3, 2, 3, 0, 3, 4, 1, 1, 2, 1, 0, 4, 2, 1, 1, 0, 0, 3, 4, 3, 2, 3, 3, 1, 3, 1, 0, 1, 3, 1, 0, 3, 2, 4, 4, 4, 1, 4, 1, 2, 2, 4, 2, 4, 4, 2, 3, 1, 2, 2, 1, 2, 4, 3, 3, 0, 1, 3, 2, 0, 4, 4, 1, 0, 0, 4, 4, 2, 3, 3, 3, 2, 4, 2, 3, 4, 2, 4, 3, 2, 3, 1, 2, 0, 2, 4, 4, 2, 1, 3, 3, 1, 0, 4, 0, 0, 2, 4, 2, 4, 2, 2, 4, 2, 2, 2, 3, 2, 0, 4, 4, 2, 1, 2, 0, 2, 2, 3, 2, 0, 3, 2, 1, 3, 2, 0, 1, 3, 4, 4, 4, 2, 0, 0, 2, 0, 3, 2, 2, 2, 3, 3, 0, 4, 4, 3, 3, 3, 2, 0, 4, 2, 1, 1, 4, 2, 2, 3, 1, 0, 1, 0, 0, 2, 4, 1, 4, 3, 3, 1, 1, 1, 1, 4, 3, 4, 1, 2, 0, 4, 3, 1, 2, 0, 2, 2, 3, 3, 2, 2, 0, 3, 4, 3, 4, 2, 4, 1, 3, 3, 1, 1, 1, 3, 2, 0, 1, 4, 1, 0, 0, 4, 0, 1, 1, 1, 4, 3, 3, 0, 2, 1, 1, 0, 2, 3, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 3, 2, 1, 0, 3, 1, 3, 4, 4, 0, 4, 2, 4, 1, 1, 0, 0, 4, 4, 2, 4, 0, 4, 4, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 3, 3, 0, 4]
pubkeycol749 = [1, 0, 1, 0, 1, 2, 1, 1, 4, 3, 0, 0, 3, 3, 0, 1, 4, 0, 3, 2, 0, 3, 1, 0, 4, 2, 1, 4, 0, 0, 2, 0, 2, 2, 0, 0, 2, 4, 2, 1, 4, 0, 4, 3, 1, 4, 3, 4, 4, 2, 2, 1, 2, 4, 2, 4, 4, 3, 4, 4, 4, 2, 1, 0, 1, 0, 0, 1, 3, 2, 3, 4, 3, 4, 4, 1, 3, 3, 2, 4, 3, 3, 2, 1, 2, 3, 4, 3, 1, 4, 3, 0, 1, 4, 1, 1, 2, 1, 2, 1, 3, 3, 3, 0, 2, 0, 2, 2, 4, 0, 2, 1, 0, 0, 3, 1, 4, 4, 4, 4, 2, 1, 1, 2, 2, 0, 3, 0, 0, 3, 3, 2, 0, 1, 4, 1, 2, 0, 1, 3, 0, 1, 4, 0, 3, 0, 0, 1, 3, 0, 3, 4, 0, 4, 2, 2, 0, 0, 1, 2, 1, 0, 3, 4, 4, 3, 0, 4, 3, 0, 1, 2, 2, 4, 2, 0, 1, 0, 0, 1, 4, 0, 2, 4, 3, 3, 4, 1, 3, 0, 0, 0, 4, 3, 0, 4, 3, 4, 4, 0, 4, 4, 3, 2, 4, 2, 2, 2, 2, 0, 2, 1, 0, 3, 2, 1, 3, 0, 2, 1, 4, 0, 3, 2, 1, 4, 0, 1, 2, 0, 1, 2, 4, 0, 1, 0, 0, 1, 1, 1, 4, 0, 1, 0, 3, 4, 2, 1, 2, 4, 1, 4, 1, 2, 2, 0, 4, 4, 3, 4, 2, 0, 1, 3, 1, 4, 2, 3, 2, 3, 4, 1, 1, 3, 2, 1, 0, 4, 3, 1, 1, 1, 0, 0, 0, 2, 3, 1, 2, 4, 2, 3, 3, 1, 2, 2, 2, 4, 0, 0, 4, 0, 0, 2, 2, 0, 3, 0, 3, 3, 4, 1, 3, 0, 4, 4, 4, 2, 2, 3]
pubkeycol750 = [4, 4, 1, 1, 3, 0, 1, 3, 1, 3, 1, 3, 0, 1, 3, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 3, 2, 4, 0, 1, 4, 0, 0, 1, 1, 2, 2, 4, 1, 1, 3, 1, 4, 0, 4, 0, 1, 4, 1, 0, 4, 3, 0, 3, 2, 4, 4, 4, 1, 2, 1, 0, 4, 2, 3, 4, 4, 4, 2, 3, 2, 4, 2, 3, 4, 2, 2, 1, 4, 3, 2, 2, 3, 0, 1, 1, 2, 3, 4, 3, 1, 3, 3, 3, 3, 1, 0, 4, 1, 3, 4, 4, 0, 1, 2, 0, 4, 3, 0, 1, 4, 1, 4, 4, 2, 1, 1, 1, 4, 0, 2, 4, 1, 3, 2, 0, 0, 4, 3, 0, 4, 2, 4, 4, 4, 2, 3, 0, 0, 4, 0, 1, 3, 3, 2, 1, 0, 1, 4, 0, 2, 1, 2, 2, 3, 3, 1, 2, 1, 2, 0, 1, 2, 2, 2, 4, 3, 1, 4, 1, 0, 1, 1, 2, 0, 2, 2, 3, 1, 4, 1, 3, 3, 1, 2, 2, 1, 2, 4, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 3, 4, 0, 1, 1, 1, 2, 2, 1, 4, 4, 2, 4, 2, 1, 2, 3, 3, 0, 2, 1, 1, 2, 4, 2, 4, 4, 4, 3, 2, 4, 3, 0, 3, 2, 3, 3, 4, 1, 0, 2, 1, 0, 2, 0, 3, 1, 4, 2, 2, 2, 2, 0, 0, 4, 2, 3, 4, 4, 0, 0, 3, 3, 1, 1, 0, 3, 2, 2, 3, 1, 2, 0, 2, 3, 2, 0, 4, 3, 1, 4, 4, 2, 0, 1, 0, 0, 3, 0, 1, 4, 0, 0, 3, 1, 1, 4, 1, 2, 3, 4, 2, 4, 4, 0, 2, 4, 3, 3, 0, 4]
pubkeycol751 = [1, 0, 2, 0, 3, 4, 4, 1, 1, 1, 2, 0, 0, 4, 1, 1, 0, 0, 3, 4, 2, 1, 3, 3, 4, 3, 2, 2, 4, 4, 1, 1, 3, 1, 4, 2, 1, 2, 4, 0, 2, 0, 4, 1, 0, 0, 0, 4, 2, 2, 1, 2, 2, 3, 1, 1, 1, 4, 3, 2, 0, 1, 0, 4, 4, 1, 2, 2, 4, 3, 0, 1, 2, 3, 4, 0, 1, 2, 2, 1, 1, 2, 2, 4, 4, 3, 0, 0, 2, 2, 0, 4, 1, 2, 3, 4, 3, 4, 3, 1, 1, 1, 2, 2, 4, 1, 0, 2, 1, 1, 3, 1, 2, 4, 4, 3, 2, 3, 4, 2, 2, 0, 1, 2, 4, 4, 1, 3, 4, 0, 3, 3, 0, 2, 3, 1, 3, 1, 0, 4, 2, 2, 2, 2, 0, 2, 3, 0, 4, 2, 2, 0, 4, 3, 3, 1, 4, 4, 0, 3, 0, 1, 4, 0, 1, 4, 4, 1, 4, 2, 4, 2, 4, 3, 0, 1, 3, 4, 2, 4, 0, 1, 0, 2, 1, 4, 4, 4, 0, 0, 0, 3, 1, 1, 4, 1, 2, 3, 0, 1, 4, 3, 3, 1, 4, 1, 2, 3, 0, 1, 0, 2, 3, 3, 0, 4, 4, 3, 0, 4, 0, 1, 3, 4, 3, 3, 2, 4, 2, 4, 0, 2, 4, 3, 3, 4, 2, 1, 4, 4, 2, 2, 1, 1, 3, 1, 0, 1, 2, 1, 4, 2, 3, 3, 0, 2, 0, 0, 3, 3, 1, 0, 3, 1, 0, 4, 4, 2, 3, 0, 0, 2, 0, 2, 3, 1, 4, 4, 1, 3, 1, 2, 3, 4, 1, 0, 4, 3, 2, 0, 1, 1, 3, 0, 4, 4, 3, 1, 3, 1, 4, 4, 4, 2, 4, 2, 0, 0, 2, 0, 2, 2, 0, 0, 3, 4, 3, 0, 0, 1]
pubkeycol752 = [4, 3, 4, 2, 2, 1, 0, 1, 2, 2, 3, 4, 3, 4, 4, 1, 4, 1, 4, 3, 2, 0, 2, 2, 4, 1, 4, 1, 1, 2, 1, 3, 1, 0, 2, 0, 0, 3, 2, 4, 0, 0, 1, 0, 1, 4, 3, 4, 3, 4, 2, 2, 0, 0, 1, 2, 3, 4, 4, 4, 3, 0, 4, 4, 0, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 2, 1, 4, 2, 4, 0, 2, 2, 4, 4, 4, 2, 2, 2, 4, 1, 4, 4, 0, 4, 4, 1, 2, 3, 3, 1, 3, 3, 4, 1, 3, 0, 1, 3, 0, 1, 1, 4, 2, 2, 4, 2, 1, 3, 4, 2, 2, 1, 0, 2, 3, 1, 3, 1, 4, 4, 2, 3, 3, 0, 2, 2, 4, 1, 0, 4, 0, 4, 4, 4, 4, 2, 2, 4, 0, 0, 0, 3, 1, 4, 3, 1, 4, 1, 1, 2, 1, 4, 0, 3, 4, 1, 1, 3, 3, 0, 2, 3, 4, 2, 4, 4, 1, 4, 4, 2, 1, 0, 0, 4, 1, 2, 1, 3, 1, 2, 4, 1, 1, 1, 4, 4, 2, 2, 2, 4, 0, 0, 1, 1, 3, 1, 2, 4, 1, 4, 4, 1, 1, 3, 2, 4, 0, 2, 2, 4, 4, 1, 4, 2, 4, 1, 4, 1, 2, 2, 2, 4, 0, 0, 0, 4, 1, 4, 0, 4, 2, 2, 2, 4, 0, 1, 1, 4, 2, 2, 0, 1, 3, 2, 1, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 0, 2, 4, 3, 4, 1, 0, 3, 1, 4, 3, 4, 4, 1, 3, 2, 1, 4, 1, 3, 3, 3, 3, 0, 1, 3, 4, 2, 0, 4, 3, 3, 4, 3, 0, 4, 2, 1, 4, 3, 1, 0, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 0, 2]
pubkeycol753 = [2, 4, 1, 2, 4, 2, 0, 2, 2, 4, 0, 0, 2, 4, 2, 4, 2, 0, 3, 2, 0, 0, 0, 3, 4, 0, 0, 4, 1, 1, 0, 4, 2, 3, 2, 2, 0, 0, 1, 3, 1, 2, 3, 3, 3, 3, 4, 3, 4, 3, 2, 0, 4, 2, 2, 1, 0, 0, 1, 3, 2, 4, 3, 3, 4, 4, 1, 3, 3, 2, 4, 0, 2, 3, 2, 3, 0, 0, 2, 4, 2, 2, 4, 2, 0, 4, 1, 2, 4, 0, 1, 3, 2, 1, 4, 4, 2, 3, 0, 0, 1, 1, 0, 3, 0, 0, 1, 4, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 4, 4, 1, 4, 1, 0, 3, 0, 1, 0, 1, 3, 3, 2, 3, 2, 0, 2, 2, 2, 0, 0, 4, 1, 4, 0, 4, 1, 1, 4, 0, 3, 4, 4, 2, 0, 1, 1, 4, 4, 3, 0, 2, 3, 3, 0, 0, 4, 1, 0, 1, 0, 4, 0, 0, 1, 4, 0, 1, 1, 0, 4, 3, 0, 4, 4, 0, 2, 0, 0, 3, 2, 1, 1, 0, 4, 2, 0, 0, 4, 3, 3, 2, 3, 2, 4, 2, 0, 4, 4, 3, 2, 4, 0, 4, 3, 1, 1, 4, 0, 2, 4, 3, 3, 3, 1, 3, 2, 1, 4, 4, 0, 4, 3, 2, 3, 1, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 0, 2, 1, 3, 4, 3, 2, 4, 4, 1, 1, 4, 2, 1, 0, 4, 0, 1, 3, 0, 4, 0, 4, 4, 3, 1, 3, 1, 0, 4, 4, 3, 0, 2, 2, 3, 0, 4, 0, 1, 0, 3, 1, 4, 0, 2, 4, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 3, 4, 3, 1, 4, 0, 3, 3]
pubkeycol754 = [4, 4, 4, 0, 1, 2, 4, 0, 4, 2, 0, 0, 4, 1, 0, 0, 1, 0, 3, 4, 4, 3, 3, 1, 4, 0, 1, 4, 2, 3, 4, 2, 3, 1, 1, 0, 4, 3, 0, 1, 0, 0, 2, 4, 4, 1, 2, 1, 4, 4, 4, 3, 2, 2, 1, 3, 0, 1, 3, 2, 4, 1, 4, 0, 1, 4, 1, 3, 4, 0, 1, 0, 0, 2, 2, 4, 4, 1, 3, 2, 2, 1, 0, 0, 1, 1, 0, 3, 0, 2, 4, 4, 3, 1, 1, 3, 2, 3, 2, 0, 2, 0, 4, 0, 0, 3, 1, 2, 4, 2, 1, 0, 3, 3, 4, 1, 1, 4, 4, 1, 4, 4, 4, 3, 3, 2, 2, 0, 0, 4, 0, 2, 4, 2, 2, 4, 4, 3, 0, 0, 2, 1, 1, 3, 0, 3, 4, 1, 1, 0, 4, 1, 4, 4, 3, 3, 2, 4, 4, 0, 1, 1, 3, 0, 2, 4, 3, 1, 1, 4, 0, 0, 1, 3, 2, 1, 0, 1, 3, 4, 1, 2, 2, 2, 3, 1, 3, 2, 0, 1, 1, 1, 1, 2, 3, 2, 1, 0, 4, 3, 4, 2, 2, 3, 1, 0, 0, 3, 1, 0, 1, 1, 2, 4, 4, 1, 2, 0, 1, 4, 1, 4, 1, 0, 2, 2, 4, 1, 4, 1, 3, 1, 3, 2, 3, 0, 0, 3, 4, 1, 0, 0, 4, 2, 3, 1, 3, 2, 2, 2, 3, 0, 3, 0, 0, 0, 4, 3, 4, 0, 4, 3, 0, 1, 1, 1, 1, 3, 1, 4, 2, 1, 2, 3, 2, 2, 4, 0, 0, 1, 0, 1, 4, 0, 1, 4, 4, 3, 0, 2, 3, 4, 3, 0, 1, 3, 3, 2, 3, 0, 1, 3, 4, 0, 4, 4, 4, 0, 4, 2, 3, 4, 0, 2, 2, 1, 3, 0, 4, 2]
pubkeycol755 = [0, 3, 0, 0, 3, 3, 2, 4, 0, 0, 4, 0, 0, 2, 4, 4, 0, 2, 4, 1, 4, 4, 4, 4, 1, 4, 3, 2, 0, 4, 3, 2, 0, 0, 1, 0, 1, 4, 2, 4, 4, 3, 3, 2, 2, 0, 4, 2, 0, 3, 3, 4, 1, 4, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 3, 0, 0, 0, 1, 1, 3, 3, 3, 0, 2, 3, 1, 2, 2, 2, 3, 4, 0, 3, 0, 4, 4, 2, 3, 0, 1, 4, 1, 4, 2, 2, 1, 4, 4, 0, 3, 0, 3, 0, 1, 4, 4, 4, 3, 3, 4, 2, 3, 4, 2, 3, 4, 3, 2, 4, 1, 4, 0, 0, 0, 3, 1, 0, 2, 3, 2, 1, 4, 1, 4, 4, 1, 4, 2, 0, 4, 0, 1, 2, 4, 0, 3, 3, 3, 2, 4, 1, 4, 1, 4, 4, 2, 3, 2, 3, 4, 3, 3, 2, 1, 2, 1, 4, 4, 3, 0, 3, 0, 3, 4, 0, 2, 2, 2, 4, 0, 0, 0, 3, 0, 0, 2, 0, 3, 4, 3, 2, 1, 2, 3, 1, 2, 0, 0, 4, 0, 3, 3, 0, 0, 1, 4, 1, 4, 4, 0, 2, 3, 3, 4, 4, 1, 0, 4, 3, 2, 4, 3, 0, 3, 4, 4, 0, 1, 2, 3, 0, 0, 2, 4, 2, 2, 2, 2, 3, 4, 2, 0, 4, 4, 0, 1, 1, 0, 1, 3, 4, 4, 3, 0, 3, 4, 4, 3, 0, 4, 2, 4, 3, 4, 3, 0, 4, 1, 2, 4, 0, 0, 2, 1, 4, 3, 2, 2, 1, 3, 1, 4, 4, 0, 4, 4, 0, 3, 0, 4, 2, 2, 4, 1, 2, 2, 2, 2, 4, 1, 2, 0, 4, 4, 4, 0, 1, 1, 0, 1, 1, 1, 3, 0, 4, 2, 1, 2, 0]
pubkeycol756 = [4, 0, 3, 3, 4, 4, 1, 3, 3, 2, 3, 1, 2, 1, 4, 3, 4, 4, 2, 4, 3, 2, 1, 3, 0, 3, 4, 1, 1, 3, 2, 4, 1, 0, 0, 1, 0, 1, 1, 4, 4, 1, 4, 3, 2, 0, 3, 3, 0, 3, 2, 1, 1, 4, 2, 4, 3, 2, 2, 2, 4, 3, 4, 1, 4, 2, 2, 1, 1, 1, 0, 4, 0, 3, 3, 3, 2, 2, 3, 2, 0, 0, 4, 0, 3, 2, 4, 3, 0, 0, 4, 1, 1, 4, 3, 3, 0, 2, 2, 0, 3, 1, 1, 4, 1, 4, 4, 1, 3, 2, 2, 4, 3, 3, 0, 4, 4, 4, 0, 2, 1, 2, 3, 3, 0, 0, 2, 4, 1, 3, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 3, 0, 0, 2, 0, 1, 3, 1, 3, 0, 0, 1, 2, 3, 0, 4, 2, 1, 2, 4, 0, 0, 3, 3, 2, 4, 4, 1, 4, 4, 0, 3, 2, 3, 2, 3, 3, 1, 1, 1, 4, 2, 0, 0, 3, 3, 4, 4, 0, 4, 4, 0, 4, 3, 0, 4, 4, 4, 1, 3, 0, 4, 4, 3, 0, 3, 0, 0, 2, 3, 1, 2, 4, 4, 0, 3, 3, 0, 1, 4, 3, 0, 2, 0, 4, 1, 0, 1, 1, 1, 0, 3, 3, 4, 3, 1, 4, 2, 2, 2, 0, 1, 2, 4, 0, 0, 1, 0, 4, 0, 0, 3, 3, 4, 4, 2, 4, 0, 0, 3, 2, 3, 0, 4, 2, 2, 2, 0, 2, 2, 4, 2, 0, 2, 2, 1, 0, 0, 1, 3, 0, 3, 2, 1, 4, 3, 0, 2, 4, 4, 1, 1, 4, 4, 2, 1, 1, 0, 2, 3, 4, 3, 1, 0, 4, 2, 0, 4, 3, 1, 4, 3, 2, 3, 3, 4, 1, 1, 2, 3]
pubkeycol757 = [4, 1, 2, 0, 3, 2, 3, 1, 0, 4, 2, 0, 0, 4, 4, 1, 0, 3, 2, 0, 3, 0, 0, 4, 1, 3, 1, 3, 3, 0, 3, 0, 3, 1, 0, 4, 0, 4, 3, 0, 2, 2, 0, 0, 3, 4, 2, 0, 3, 2, 4, 0, 1, 0, 4, 2, 2, 2, 2, 2, 1, 4, 4, 0, 4, 3, 3, 1, 2, 1, 3, 4, 1, 0, 4, 1, 1, 0, 3, 3, 1, 2, 1, 1, 4, 1, 1, 2, 0, 0, 4, 0, 0, 1, 3, 3, 1, 0, 2, 0, 2, 3, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 3, 4, 4, 2, 3, 2, 2, 3, 0, 4, 4, 3, 0, 4, 3, 0, 1, 2, 3, 4, 3, 1, 0, 4, 3, 3, 3, 3, 0, 4, 4, 3, 4, 1, 4, 3, 1, 1, 0, 1, 0, 3, 3, 1, 4, 4, 0, 0, 3, 0, 3, 3, 4, 0, 0, 4, 3, 4, 3, 0, 2, 0, 4, 0, 0, 2, 2, 3, 1, 1, 2, 2, 0, 3, 1, 4, 2, 1, 4, 2, 4, 1, 4, 0, 0, 2, 1, 3, 1, 1, 1, 0, 0, 4, 2, 1, 2, 1, 2, 2, 4, 4, 1, 1, 1, 3, 2, 0, 2, 2, 1, 0, 4, 1, 0, 0, 3, 0, 1, 0, 1, 3, 2, 2, 0, 1, 2, 0, 4, 2, 3, 2, 0, 4, 3, 2, 0, 3, 2, 1, 3, 1, 0, 1, 0, 3, 0, 1, 0, 3, 1, 0, 4, 3, 4, 2, 3, 4, 1, 4, 4, 3, 3, 1, 0, 2, 2, 0, 4, 4, 2, 4, 3, 1, 2, 3, 1, 1, 0, 2, 2, 4, 4, 0, 4, 3, 1, 4, 3, 4, 2, 2, 3, 0, 1, 4, 2, 4, 0, 1, 1, 0, 1, 0, 0, 3, 1, 1]
pubkeycol758 = [0, 0, 4, 2, 4, 4, 2, 4, 2, 4, 0, 4, 0, 3, 1, 3, 3, 3, 4, 2, 0, 0, 2, 0, 3, 2, 4, 3, 4, 1, 3, 4, 1, 0, 4, 4, 3, 4, 3, 3, 1, 2, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 1, 0, 4, 0, 1, 3, 0, 1, 2, 2, 3, 1, 2, 3, 0, 2, 1, 1, 0, 0, 1, 1, 3, 0, 0, 1, 3, 2, 0, 2, 0, 1, 3, 4, 1, 3, 0, 3, 0, 4, 1, 2, 1, 4, 4, 0, 3, 0, 1, 2, 3, 0, 2, 3, 1, 1, 3, 4, 4, 0, 4, 2, 0, 2, 0, 2, 1, 0, 0, 3, 1, 2, 3, 1, 0, 2, 1, 1, 2, 2, 4, 3, 3, 3, 3, 4, 3, 1, 0, 4, 1, 0, 4, 1, 4, 4, 2, 2, 0, 3, 3, 0, 3, 4, 0, 4, 0, 0, 4, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 0, 0, 3, 2, 3, 4, 0, 4, 1, 0, 2, 0, 1, 3, 3, 2, 0, 3, 0, 0, 3, 4, 4, 4, 4, 4, 2, 4, 1, 4, 4, 1, 0, 0, 3, 2, 1, 1, 3, 2, 0, 1, 1, 2, 1, 2, 2, 2, 4, 1, 1, 4, 1, 4, 0, 3, 3, 1, 0, 3, 2, 3, 4, 3, 3, 3, 3, 3, 0, 4, 3, 2, 1, 3, 4, 0, 0, 4, 3, 0, 3, 4, 4, 4, 3, 0, 0, 2, 0, 3, 0, 3, 2, 0, 3, 4, 3, 2, 4, 3, 1, 2, 2, 2, 4, 0, 2, 2, 4, 1, 3, 3, 4, 1, 3, 1, 1, 1, 0, 1, 2, 0, 4, 0, 0, 4, 0, 0, 0, 0, 2, 3, 3, 2, 2, 4, 3, 4, 3, 1, 2, 2, 1, 3, 1, 1, 1]
pubkeycol759 = [3, 3, 2, 0, 1, 1, 4, 4, 1, 3, 3, 3, 1, 1, 4, 2, 3, 4, 3, 4, 3, 0, 4, 2, 2, 2, 2, 3, 2, 0, 3, 3, 2, 2, 3, 1, 4, 0, 1, 2, 0, 4, 0, 3, 1, 4, 0, 1, 1, 4, 3, 1, 3, 0, 1, 4, 2, 3, 3, 2, 4, 3, 3, 2, 3, 4, 3, 3, 1, 0, 1, 3, 3, 2, 3, 2, 2, 1, 3, 3, 2, 2, 2, 1, 1, 2, 1, 1, 4, 2, 3, 0, 4, 3, 2, 0, 4, 3, 1, 3, 0, 0, 1, 1, 4, 2, 4, 2, 1, 2, 3, 2, 1, 1, 4, 0, 4, 1, 0, 0, 2, 1, 3, 4, 2, 1, 2, 0, 2, 3, 2, 1, 2, 1, 3, 1, 3, 4, 3, 2, 4, 0, 4, 3, 1, 2, 2, 1, 1, 3, 1, 3, 1, 0, 4, 0, 3, 2, 3, 4, 3, 1, 4, 3, 2, 4, 4, 3, 3, 1, 3, 3, 3, 1, 2, 2, 3, 0, 0, 4, 0, 4, 2, 3, 4, 1, 0, 2, 4, 2, 0, 0, 2, 2, 1, 0, 0, 3, 0, 0, 3, 3, 0, 3, 1, 1, 0, 3, 4, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 3, 4, 0, 4, 3, 0, 1, 1, 0, 1, 4, 4, 0, 3, 2, 2, 1, 4, 0, 0, 2, 0, 0, 4, 4, 3, 4, 0, 3, 2, 3, 1, 1, 4, 0, 4, 2, 3, 1, 2, 0, 0, 4, 0, 3, 3, 2, 2, 0, 1, 1, 1, 0, 1, 2, 3, 2, 4, 2, 2, 1, 1, 2, 0, 3, 1, 0, 4, 3, 1, 4, 4, 0, 4, 1, 2, 0, 4, 3, 1, 3, 3, 3, 4, 3, 4, 0, 1, 0, 0, 1, 2, 3, 3, 1, 4, 4, 0, 2, 1]
pubkeycol760 = [2, 2, 3, 4, 3, 2, 0, 2, 1, 4, 1, 1, 3, 1, 3, 3, 3, 4, 3, 3, 4, 3, 0, 0, 0, 1, 4, 4, 3, 3, 4, 2, 0, 4, 4, 0, 0, 3, 3, 4, 0, 0, 2, 4, 0, 4, 1, 2, 0, 2, 3, 1, 1, 3, 1, 2, 1, 1, 4, 0, 4, 4, 0, 3, 3, 0, 3, 4, 1, 1, 3, 4, 0, 2, 2, 0, 0, 2, 0, 4, 0, 4, 2, 4, 3, 1, 1, 1, 2, 0, 0, 4, 0, 3, 3, 3, 0, 3, 2, 4, 1, 4, 1, 0, 2, 3, 4, 2, 3, 0, 4, 0, 0, 1, 1, 2, 3, 4, 1, 1, 0, 4, 2, 4, 0, 0, 2, 1, 0, 3, 4, 4, 4, 4, 1, 3, 1, 3, 0, 1, 1, 3, 2, 4, 4, 0, 4, 4, 3, 2, 2, 1, 1, 2, 0, 1, 0, 0, 4, 0, 2, 0, 1, 2, 1, 3, 0, 2, 4, 3, 3, 1, 3, 3, 0, 0, 4, 1, 3, 2, 2, 2, 4, 0, 3, 3, 2, 1, 4, 2, 2, 4, 4, 3, 1, 4, 0, 1, 4, 4, 3, 2, 4, 1, 3, 3, 4, 4, 2, 3, 2, 2, 1, 0, 3, 2, 1, 3, 1, 2, 3, 4, 4, 2, 4, 2, 2, 0, 4, 4, 3, 1, 0, 3, 2, 3, 1, 3, 2, 4, 4, 0, 0, 4, 4, 2, 4, 0, 0, 4, 0, 0, 3, 3, 2, 3, 3, 0, 2, 4, 3, 2, 1, 2, 0, 4, 1, 3, 0, 2, 2, 4, 2, 0, 3, 1, 2, 3, 0, 2, 0, 1, 2, 3, 3, 2, 2, 0, 4, 0, 1, 0, 3, 0, 2, 1, 4, 3, 1, 4, 4, 3, 4, 2, 3, 1, 2, 2, 3, 0, 0, 4, 0, 0, 3, 4, 0, 0, 3, 2]
pubkeycol761 = [4, 3, 4, 4, 2, 3, 2, 3, 0, 0, 4, 3, 0, 4, 2, 0, 0, 4, 2, 2, 1, 3, 3, 0, 3, 0, 4, 0, 0, 0, 3, 0, 4, 1, 4, 1, 3, 3, 2, 0, 3, 1, 2, 1, 0, 4, 1, 4, 2, 1, 1, 2, 0, 1, 1, 0, 4, 2, 4, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 3, 3, 4, 2, 1, 1, 1, 0, 0, 1, 4, 4, 1, 4, 4, 0, 0, 3, 1, 0, 3, 0, 1, 0, 0, 1, 1, 3, 2, 4, 3, 3, 4, 4, 4, 1, 1, 3, 4, 1, 1, 4, 3, 1, 4, 1, 3, 3, 3, 4, 4, 2, 1, 3, 4, 3, 0, 0, 2, 0, 2, 4, 2, 3, 3, 3, 4, 0, 3, 2, 4, 1, 3, 0, 4, 3, 1, 2, 0, 2, 2, 1, 4, 1, 2, 1, 1, 0, 1, 4, 4, 2, 3, 1, 0, 4, 3, 1, 3, 2, 3, 1, 4, 0, 4, 1, 1, 4, 4, 1, 2, 2, 4, 3, 1, 0, 0, 3, 0, 0, 0, 3, 4, 2, 1, 2, 1, 1, 3, 4, 2, 2, 2, 1, 2, 4, 0, 0, 3, 4, 0, 1, 1, 2, 2, 3, 4, 1, 4, 2, 1, 3, 4, 2, 1, 3, 0, 3, 0, 0, 4, 4, 1, 3, 3, 1, 2, 3, 3, 4, 2, 2, 4, 2, 4, 0, 3, 0, 2, 4, 2, 0, 2, 3, 0, 1, 4, 2, 3, 4, 1, 0, 4, 4, 0, 1, 0, 2, 2, 4, 1, 0, 2, 4, 1, 3, 0, 2, 2, 4, 3, 3, 4, 3, 1, 2, 4, 0, 2, 3, 4, 4, 1, 0, 0, 4, 2, 0, 3, 2, 4, 3, 4, 3, 0, 2, 2, 2, 0, 2, 4, 4, 3, 0, 0, 2, 3, 0, 0, 1]
pubkeycol762 = [4, 1, 1, 1, 4, 3, 4, 3, 0, 2, 3, 1, 4, 2, 1, 0, 2, 0, 3, 4, 1, 3, 1, 0, 1, 0, 4, 4, 1, 3, 2, 4, 4, 1, 2, 2, 4, 1, 4, 2, 1, 2, 2, 4, 0, 1, 3, 3, 2, 4, 1, 1, 2, 3, 0, 0, 3, 0, 3, 2, 2, 2, 3, 3, 1, 4, 0, 1, 3, 4, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 3, 1, 4, 1, 2, 2, 4, 4, 1, 3, 2, 4, 0, 3, 0, 4, 4, 1, 1, 4, 2, 4, 2, 1, 2, 2, 2, 0, 4, 0, 1, 4, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 3, 2, 2, 4, 3, 4, 3, 0, 4, 1, 1, 3, 2, 0, 1, 2, 2, 2, 3, 4, 0, 1, 3, 4, 1, 0, 1, 4, 3, 0, 0, 2, 3, 3, 3, 3, 4, 1, 2, 3, 0, 1, 2, 4, 0, 2, 2, 2, 3, 4, 2, 0, 0, 2, 3, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 1, 3, 4, 2, 0, 2, 1, 3, 2, 2, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 1, 0, 2, 4, 1, 4, 4, 4, 4, 3, 4, 4, 0, 1, 1, 2, 1, 4, 0, 0, 2, 1, 3, 2, 0, 1, 3, 1, 1, 1, 2, 0, 1, 0, 3, 4, 2, 0, 4, 3, 3, 0, 4, 3, 1, 0, 0, 2, 4, 2, 0, 4, 0, 1, 1, 1, 0, 3, 2, 1, 0, 0, 1, 3, 0, 4, 2, 1, 1, 1, 2, 2, 3, 3, 0, 3, 2, 3, 2, 4, 1, 1, 1, 3, 0, 4, 1, 2, 0, 1, 4, 2, 0, 0, 2, 0, 3, 0, 3, 1, 2, 0, 2, 2, 3, 2, 4, 0, 0, 4]
pubkeycol763 = [4, 1, 3, 4, 0, 0, 2, 0, 3, 0, 4, 4, 3, 4, 3, 3, 1, 1, 2, 2, 4, 3, 4, 4, 1, 4, 3, 2, 4, 2, 4, 3, 0, 1, 1, 4, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 3, 3, 2, 2, 0, 2, 3, 1, 3, 1, 4, 4, 1, 3, 0, 1, 0, 0, 1, 3, 0, 4, 3, 0, 2, 1, 3, 1, 0, 4, 0, 0, 0, 1, 1, 1, 1, 3, 4, 1, 0, 3, 0, 4, 3, 3, 1, 2, 4, 4, 3, 0, 0, 3, 1, 1, 2, 3, 1, 3, 4, 3, 3, 2, 4, 1, 1, 0, 0, 1, 2, 4, 2, 3, 4, 4, 2, 3, 0, 2, 2, 4, 1, 1, 3, 1, 1, 2, 1, 4, 0, 1, 0, 3, 3, 3, 4, 3, 1, 2, 2, 1, 2, 2, 2, 4, 4, 2, 1, 4, 3, 4, 0, 4, 4, 1, 3, 2, 2, 2, 2, 3, 3, 1, 4, 2, 4, 1, 3, 4, 3, 2, 1, 3, 0, 1, 0, 0, 4, 1, 0, 4, 1, 0, 3, 3, 2, 3, 4, 1, 4, 0, 3, 2, 3, 4, 2, 1, 3, 2, 1, 3, 4, 1, 3, 1, 4, 3, 0, 2, 1, 3, 3, 2, 3, 1, 3, 1, 4, 2, 3, 4, 3, 3, 2, 4, 1, 4, 1, 2, 2, 2, 2, 4, 0, 3, 3, 1, 4, 3, 1, 0, 4, 3, 1, 1, 4, 1, 4, 2, 1, 0, 1, 3, 3, 0, 1, 4, 4, 4, 3, 0, 4, 0, 3, 0, 1, 4, 3, 1, 3, 3, 0, 4, 0, 3, 0, 4, 1, 2, 2, 4, 3, 0, 0, 1, 3, 1, 2, 4, 0, 1, 1, 1, 1, 2, 2, 1, 0, 3, 2, 0, 1, 0, 1, 3, 3, 3, 0, 2, 3, 3, 4]
pubkeycol764 = [1, 0, 2, 2, 3, 1, 0, 4, 3, 1, 2, 1, 1, 4, 3, 0, 2, 2, 2, 0, 3, 1, 0, 2, 0, 4, 3, 2, 2, 2, 4, 3, 4, 2, 4, 0, 2, 4, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 3, 1, 2, 3, 1, 4, 0, 2, 3, 3, 1, 4, 0, 3, 2, 4, 3, 0, 0, 0, 3, 0, 0, 2, 4, 1, 1, 1, 2, 4, 3, 4, 1, 0, 0, 4, 4, 4, 0, 2, 2, 0, 3, 1, 0, 2, 1, 4, 0, 1, 2, 0, 2, 1, 3, 1, 0, 4, 1, 4, 4, 4, 0, 3, 1, 0, 4, 1, 2, 0, 0, 3, 2, 1, 2, 4, 0, 3, 1, 1, 4, 4, 0, 1, 0, 1, 4, 1, 1, 2, 1, 4, 1, 1, 2, 3, 1, 0, 3, 1, 2, 1, 4, 2, 1, 3, 0, 1, 4, 0, 2, 1, 0, 2, 0, 3, 3, 3, 0, 2, 4, 0, 3, 3, 4, 1, 2, 2, 2, 0, 2, 3, 4, 1, 3, 1, 4, 3, 1, 2, 2, 1, 1, 4, 1, 0, 4, 0, 0, 1, 4, 2, 1, 4, 1, 1, 0, 3, 4, 1, 0, 4, 0, 2, 1, 4, 2, 4, 3, 1, 3, 4, 1, 3, 0, 1, 4, 1, 1, 0, 0, 4, 0, 3, 0, 3, 4, 0, 2, 4, 2, 2, 1, 1, 2, 2, 2, 1, 3, 3, 0, 1, 0, 0, 1, 0, 3, 0, 2, 0, 1, 4, 2, 2, 2, 0, 4, 1, 0, 1, 2, 2, 4, 0, 3, 2, 4, 2, 2, 0, 2, 0, 4, 1, 2, 3, 4, 3, 1, 4, 0, 1, 4, 1, 3, 0, 1, 2, 1, 2, 2, 3, 0, 0, 1, 0, 2, 0, 2, 3, 0, 0, 1, 2, 1, 4, 4, 2, 4, 4, 2, 3]
pubkeycol765 = [1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 3, 0, 0, 0, 3, 2, 2, 4, 1, 4, 3, 1, 0, 3, 2, 2, 2, 0, 1, 0, 4, 1, 3, 2, 3, 1, 0, 0, 3, 0, 4, 1, 1, 1, 3, 0, 1, 3, 2, 3, 1, 2, 4, 4, 1, 3, 1, 2, 0, 0, 2, 0, 3, 0, 3, 1, 1, 0, 3, 3, 2, 2, 4, 1, 4, 1, 4, 4, 1, 2, 0, 2, 3, 4, 3, 3, 1, 3, 2, 2, 0, 4, 2, 4, 3, 0, 0, 1, 3, 0, 0, 2, 3, 0, 4, 4, 0, 4, 2, 0, 0, 4, 0, 4, 2, 3, 0, 0, 0, 3, 4, 4, 4, 0, 1, 1, 0, 4, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 3, 3, 4, 4, 1, 4, 2, 4, 3, 0, 2, 0, 4, 4, 2, 1, 4, 1, 2, 2, 1, 2, 1, 0, 2, 4, 1, 3, 4, 2, 0, 1, 0, 2, 0, 2, 3, 0, 0, 2, 2, 4, 2, 4, 4, 2, 3, 3, 0, 3, 0, 3, 1, 0, 2, 3, 0, 2, 2, 0, 0, 3, 1, 2, 4, 2, 1, 3, 2, 1, 0, 0, 4, 4, 0, 2, 3, 4, 2, 4, 1, 3, 4, 1, 0, 1, 1, 1, 3, 1, 4, 3, 4, 2, 1, 4, 4, 1, 2, 3, 3, 0, 2, 0, 0, 0, 1, 2, 3, 0, 1, 1, 2, 0, 3, 3, 1, 0, 1, 0, 3, 1, 2, 4, 3, 2, 1, 3, 0, 2, 0, 0, 3, 4, 1, 4, 0, 3, 2, 1, 3, 1, 3, 3, 2, 4, 3, 2, 4, 4, 1, 2, 3, 3, 3, 0, 2, 4, 0, 3, 3, 0, 3, 1, 4, 4, 1, 3, 4, 1, 4, 4, 1, 0, 2, 0, 4, 3]
pubkeycol766 = [1, 0, 2, 4, 2, 2, 3, 4, 3, 1, 0, 4, 1, 2, 4, 4, 2, 0, 3, 1, 1, 4, 3, 0, 1, 0, 0, 4, 2, 0, 4, 3, 4, 0, 2, 1, 4, 2, 0, 4, 3, 1, 2, 1, 0, 2, 2, 2, 0, 2, 3, 0, 4, 1, 2, 3, 4, 3, 2, 0, 2, 4, 4, 4, 3, 1, 2, 0, 0, 3, 1, 2, 3, 0, 3, 3, 1, 4, 1, 1, 0, 1, 1, 0, 4, 2, 3, 4, 2, 1, 2, 0, 2, 3, 4, 2, 0, 4, 2, 3, 3, 4, 1, 0, 0, 2, 4, 0, 1, 3, 0, 0, 0, 3, 3, 0, 4, 4, 3, 0, 4, 1, 0, 1, 3, 3, 4, 0, 4, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 3, 4, 1, 0, 4, 2, 3, 3, 3, 3, 0, 3, 4, 4, 2, 0, 4, 3, 2, 3, 2, 3, 2, 0, 3, 3, 0, 3, 4, 1, 2, 2, 0, 1, 1, 3, 4, 3, 0, 2, 1, 4, 3, 4, 0, 0, 1, 2, 2, 4, 2, 0, 4, 3, 4, 1, 2, 4, 0, 3, 0, 4, 0, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 0, 4, 3, 0, 4, 1, 2, 2, 2, 4, 3, 0, 0, 2, 0, 3, 2, 3, 1, 4, 2, 2, 2, 2, 3, 3, 3, 1, 0, 1, 0, 0, 4, 2, 1, 1, 0, 4, 3, 0, 1, 1, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 3, 0, 1, 3, 2, 1, 3, 0, 3, 1, 0, 3, 0, 4, 4, 2, 0, 2, 4, 2, 2, 3, 2, 0, 4, 4, 2, 0, 3, 4, 2, 3, 0, 2, 2, 0, 1, 1, 0, 3, 2, 0, 0, 2, 1, 0, 3, 3, 0, 4, 0, 3]
pubkeycol767 = [3, 2, 2, 2, 1, 3, 1, 4, 1, 3, 2, 2, 3, 1, 4, 0, 2, 2, 2, 1, 1, 3, 4, 1, 4, 4, 1, 0, 1, 0, 1, 3, 3, 4, 2, 2, 3, 0, 1, 1, 1, 3, 1, 3, 2, 1, 1, 2, 4, 4, 1, 4, 2, 3, 0, 2, 1, 0, 0, 0, 4, 4, 1, 1, 4, 3, 2, 0, 2, 4, 4, 2, 4, 3, 2, 0, 2, 1, 1, 1, 0, 3, 1, 1, 3, 0, 4, 3, 1, 1, 0, 4, 1, 4, 0, 4, 3, 2, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 2, 3, 1, 0, 1, 4, 4, 1, 2, 4, 0, 1, 3, 1, 1, 3, 0, 0, 3, 4, 1, 0, 3, 0, 4, 1, 1, 2, 1, 3, 2, 2, 1, 4, 2, 4, 0, 3, 4, 3, 3, 3, 1, 2, 4, 3, 0, 0, 1, 0, 0, 3, 3, 0, 1, 4, 1, 2, 1, 4, 2, 1, 1, 3, 0, 2, 4, 3, 4, 4, 4, 4, 0, 3, 3, 0, 1, 0, 4, 1, 1, 1, 3, 2, 3, 3, 3, 4, 4, 1, 3, 0, 3, 4, 3, 3, 1, 2, 1, 3, 1, 3, 1, 1, 3, 3, 2, 0, 4, 1, 2, 1, 0, 4, 2, 2, 0, 1, 0, 4, 0, 4, 2, 1, 4, 1, 2, 1, 3, 4, 3, 1, 4, 4, 1, 1, 3, 3, 0, 1, 2, 0, 4, 3, 2, 3, 0, 3, 2, 0, 1, 4, 4, 0, 0, 2, 3, 2, 4, 1, 1, 0, 3, 1, 4, 2, 0, 2, 2, 2, 4, 0, 0, 1, 1, 0, 1, 4, 1, 2, 1, 4, 3, 1, 3, 2, 4, 4, 0, 2, 4, 3, 3, 2, 2, 4, 0, 0, 2, 0, 4, 2, 4, 3, 1, 3, 1, 4, 2, 2, 0]
pubkeycol768 = [4, 0, 0, 2, 4, 1, 2, 0, 3, 1, 1, 1, 0, 0, 0, 3, 0, 2, 1, 1, 3, 0, 0, 3, 2, 1, 4, 0, 3, 1, 1, 0, 0, 0, 4, 2, 1, 3, 0, 0, 3, 1, 0, 3, 0, 2, 1, 1, 2, 4, 3, 1, 3, 0, 0, 0, 0, 1, 4, 0, 2, 0, 2, 3, 3, 3, 0, 4, 1, 4, 2, 0, 2, 2, 2, 2, 0, 4, 2, 3, 2, 2, 3, 2, 0, 2, 4, 1, 0, 3, 1, 2, 4, 4, 4, 0, 4, 3, 2, 2, 2, 1, 0, 3, 0, 2, 0, 3, 0, 0, 1, 0, 4, 0, 4, 0, 1, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 4, 2, 3, 3, 0, 4, 4, 3, 0, 2, 0, 3, 0, 4, 4, 4, 3, 0, 1, 3, 1, 1, 4, 4, 4, 0, 3, 3, 3, 2, 4, 3, 1, 1, 4, 3, 2, 3, 3, 4, 0, 4, 3, 0, 4, 0, 4, 1, 2, 4, 2, 0, 1, 4, 1, 1, 2, 0, 0, 1, 3, 4, 4, 2, 2, 1, 2, 4, 3, 1, 2, 4, 3, 1, 4, 1, 4, 3, 1, 1, 1, 2, 4, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 1, 1, 4, 3, 2, 4, 4, 1, 4, 1, 0, 4, 4, 4, 3, 4, 1, 2, 2, 2, 1, 1, 2, 3, 2, 4, 1, 4, 4, 3, 2, 0, 4, 4, 4, 1, 4, 4, 0, 4, 2, 3, 3, 4, 4, 4, 2, 1, 2, 1, 1, 1, 0, 0, 0, 4, 2, 2, 3, 4, 2, 1, 4, 4, 3, 4, 1, 1, 2, 3, 0, 0, 1, 4, 0, 4, 3, 0, 1, 0, 2, 1, 0, 1, 3, 1, 2, 2, 3, 2, 1, 3, 0, 3, 1, 1, 2, 0]
pubkeycol769 = [1, 3, 4, 4, 1, 2, 4, 2, 3, 4, 2, 4, 1, 1, 2, 0, 1, 4, 3, 2, 1, 4, 0, 3, 1, 3, 2, 3, 4, 2, 3, 3, 0, 3, 2, 4, 4, 2, 2, 0, 3, 1, 3, 0, 2, 1, 4, 0, 2, 1, 0, 0, 3, 3, 1, 1, 2, 4, 1, 1, 3, 0, 2, 1, 4, 3, 2, 1, 4, 4, 0, 4, 1, 0, 2, 4, 3, 4, 1, 1, 0, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 0, 4, 4, 1, 0, 3, 3, 0, 1, 2, 0, 2, 2, 1, 3, 4, 1, 0, 3, 0, 4, 1, 1, 0, 2, 4, 2, 0, 0, 2, 3, 3, 3, 4, 0, 1, 2, 2, 3, 0, 0, 4, 3, 0, 0, 4, 3, 4, 3, 3, 3, 2, 0, 2, 4, 0, 2, 1, 1, 2, 2, 0, 0, 3, 2, 0, 3, 3, 1, 3, 4, 0, 1, 1, 4, 0, 2, 2, 1, 1, 3, 0, 1, 3, 2, 4, 0, 0, 2, 3, 1, 4, 0, 1, 3, 0, 2, 4, 1, 1, 1, 4, 0, 0, 0, 2, 2, 3, 0, 4, 0, 3, 4, 0, 3, 3, 0, 1, 0, 1, 0, 2, 1, 1, 4, 4, 3, 2, 1, 3, 4, 1, 1, 3, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 4, 2, 4, 4, 1, 3, 2, 4, 1, 3, 4, 4, 3, 1, 0, 4, 2, 2, 2, 1, 4, 4, 2, 0, 3, 1, 2, 2, 4, 3, 0, 2, 2, 4, 1, 3, 4, 4, 3, 2, 4, 0, 3, 0, 0, 1, 3, 4, 4, 4, 2, 2, 2, 4, 4, 4, 0, 2, 1, 4, 4, 2, 4, 3, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 1, 3, 3, 3, 0, 0, 4, 4, 0, 1, 3]
pubkeycol770 = [0, 2, 1, 4, 1, 4, 0, 3, 2, 3, 2, 4, 2, 2, 2, 0, 4, 4, 3, 1, 2, 4, 0, 3, 4, 1, 2, 2, 2, 0, 3, 4, 3, 3, 4, 1, 0, 2, 0, 0, 4, 4, 3, 0, 3, 4, 1, 2, 1, 2, 4, 2, 0, 4, 2, 2, 3, 4, 1, 1, 0, 0, 1, 4, 2, 2, 4, 0, 2, 4, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 1, 4, 1, 4, 1, 1, 4, 4, 2, 1, 0, 1, 0, 3, 4, 1, 2, 2, 0, 1, 2, 0, 0, 2, 3, 3, 1, 3, 2, 2, 0, 4, 1, 4, 3, 4, 0, 3, 1, 1, 2, 0, 2, 1, 2, 1, 2, 4, 2, 4, 1, 0, 2, 2, 4, 1, 4, 3, 2, 1, 1, 0, 2, 0, 4, 0, 3, 3, 0, 2, 0, 3, 4, 4, 4, 4, 2, 2, 1, 2, 0, 2, 1, 0, 2, 4, 4, 0, 2, 3, 0, 2, 0, 2, 1, 0, 1, 0, 3, 2, 4, 3, 4, 2, 0, 2, 2, 2, 4, 3, 0, 2, 2, 0, 4, 2, 1, 1, 1, 3, 1, 0, 1, 2, 1, 2, 1, 3, 0, 1, 4, 2, 0, 4, 3, 2, 3, 1, 0, 4, 4, 3, 4, 0, 0, 1, 0, 4, 1, 4, 2, 3, 1, 3, 2, 1, 4, 2, 0, 1, 2, 2, 2, 2, 3, 2, 0, 4, 4, 0, 3, 3, 1, 1, 1, 4, 4, 3, 3, 4, 0, 3, 0, 3, 4, 0, 2, 2, 3, 3, 2, 4, 0, 3, 1, 4, 0, 4, 1, 3, 2, 0, 3, 2, 4, 1, 3, 3, 0, 3, 4, 0, 4, 3, 0, 4, 4, 2, 1, 2, 2, 0, 3, 1, 4, 3, 2, 0, 0, 3, 3]
pubkeycol771 = [3, 3, 2, 1, 1, 4, 1, 3, 0, 2, 4, 3, 1, 2, 0, 0, 2, 0, 2, 4, 4, 2, 2, 2, 4, 2, 1, 0, 2, 3, 2, 3, 2, 2, 3, 0, 1, 1, 0, 3, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 2, 4, 1, 2, 3, 3, 1, 2, 3, 1, 1, 2, 0, 3, 0, 1, 1, 1, 1, 1, 3, 3, 2, 4, 1, 4, 0, 2, 1, 2, 4, 2, 4, 0, 1, 1, 2, 2, 1, 2, 2, 3, 0, 2, 1, 1, 1, 0, 4, 1, 1, 0, 0, 3, 2, 0, 4, 0, 3, 4, 3, 0, 0, 4, 2, 4, 2, 4, 1, 3, 1, 2, 3, 2, 3, 4, 0, 2, 3, 1, 3, 3, 2, 2, 1, 3, 4, 0, 2, 3, 4, 4, 0, 4, 4, 1, 1, 1, 4, 2, 4, 2, 1, 2, 0, 0, 3, 4, 0, 3, 2, 3, 3, 3, 0, 1, 4, 3, 0, 2, 4, 0, 2, 1, 4, 2, 4, 0, 3, 2, 2, 3, 4, 1, 1, 3, 0, 1, 0, 3, 4, 2, 4, 2, 1, 2, 3, 2, 1, 1, 4, 2, 1, 0, 4, 3, 1, 1, 3, 0, 3, 1, 3, 0, 2, 3, 0, 4, 4, 2, 2, 0, 2, 1, 1, 0, 2, 4, 4, 2, 4, 4, 3, 1, 2, 1, 1, 4, 2, 3, 1, 4, 3, 1, 3, 4, 0, 0, 1, 4, 3, 3, 4, 0, 3, 1, 1, 4, 1, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 2, 3, 1, 3, 0, 0, 4, 2, 3, 2, 2, 3, 4, 3, 2, 4, 0, 3, 3, 3, 2, 0, 3, 3, 0, 1, 2, 3, 1, 4, 3, 0, 0, 2, 1, 1, 3, 3, 2, 1, 0, 4, 1, 4, 2, 0, 4, 2, 1, 2]
pubkeycol772 = [1, 2, 4, 3, 4, 4, 2, 2, 3, 1, 2, 2, 4, 2, 0, 3, 3, 3, 0, 1, 4, 0, 3, 4, 1, 4, 4, 1, 2, 0, 0, 3, 3, 4, 3, 0, 0, 0, 1, 1, 1, 3, 3, 1, 2, 2, 3, 1, 1, 3, 2, 0, 1, 4, 1, 0, 2, 2, 1, 1, 3, 1, 3, 4, 2, 0, 4, 4, 1, 1, 2, 3, 4, 4, 1, 0, 2, 2, 3, 4, 3, 4, 2, 1, 1, 3, 1, 2, 4, 0, 1, 0, 0, 3, 4, 3, 3, 1, 0, 3, 4, 2, 4, 4, 1, 2, 1, 1, 2, 3, 1, 0, 4, 3, 2, 2, 4, 0, 1, 4, 4, 4, 3, 0, 1, 3, 0, 2, 4, 1, 2, 4, 3, 0, 4, 2, 1, 3, 0, 3, 3, 1, 1, 2, 0, 1, 1, 1, 1, 2, 3, 0, 1, 0, 3, 0, 4, 3, 1, 0, 4, 1, 3, 4, 3, 0, 4, 0, 4, 3, 0, 2, 0, 4, 2, 4, 4, 3, 4, 1, 4, 0, 1, 0, 4, 1, 3, 1, 4, 4, 4, 0, 3, 2, 3, 3, 2, 4, 2, 4, 4, 4, 0, 1, 2, 1, 4, 1, 0, 0, 1, 4, 1, 4, 4, 1, 3, 3, 4, 4, 1, 2, 3, 0, 1, 2, 1, 0, 2, 1, 1, 0, 4, 3, 2, 0, 2, 2, 3, 4, 1, 0, 0, 1, 3, 4, 3, 2, 2, 3, 3, 4, 2, 2, 0, 2, 3, 3, 2, 3, 2, 2, 1, 4, 0, 0, 1, 3, 2, 3, 4, 3, 3, 1, 4, 2, 2, 4, 2, 3, 2, 2, 0, 4, 1, 1, 4, 1, 3, 0, 2, 3, 1, 2, 2, 1, 2, 2, 1, 1, 4, 1, 0, 0, 2, 3, 3, 1, 0, 1, 1, 2, 1, 4, 3, 3, 1, 0, 4, 2]
pubkeycol773 = [3, 0, 2, 3, 0, 3, 2, 2, 3, 0, 4, 0, 4, 2, 3, 2, 0, 4, 1, 0, 2, 1, 0, 3, 2, 2, 3, 4, 4, 1, 4, 2, 3, 2, 2, 1, 2, 0, 3, 2, 4, 2, 3, 1, 1, 0, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 1, 4, 3, 0, 3, 1, 0, 0, 1, 1, 2, 1, 3, 3, 4, 3, 4, 1, 1, 0, 4, 0, 2, 3, 2, 4, 1, 0, 1, 4, 3, 3, 2, 0, 0, 2, 1, 4, 4, 0, 3, 4, 1, 3, 1, 2, 1, 3, 4, 3, 0, 1, 4, 2, 2, 2, 3, 1, 3, 2, 4, 0, 1, 2, 0, 3, 3, 1, 3, 2, 0, 1, 4, 0, 4, 4, 1, 2, 2, 3, 4, 0, 0, 2, 2, 1, 3, 0, 3, 2, 0, 2, 0, 2, 3, 0, 0, 0, 4, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 4, 4, 0, 4, 3, 2, 4, 0, 0, 4, 2, 4, 2, 4, 4, 2, 1, 4, 3, 2, 0, 4, 2, 2, 4, 2, 1, 1, 3, 0, 1, 1, 2, 1, 0, 3, 3, 0, 4, 0, 3, 3, 2, 0, 1, 0, 0, 4, 0, 3, 3, 3, 1, 3, 0, 1, 2, 1, 3, 2, 3, 1, 3, 3, 1, 3, 1, 3, 1, 3, 2, 2, 0, 0, 4, 1, 2, 0, 0, 4, 2, 4, 0, 0, 1, 4, 2, 4, 4, 1, 0, 2, 2, 2, 4, 2, 1, 2, 2, 1, 4, 3, 4, 3, 2, 4, 2, 0, 2, 0, 4, 2, 4, 0, 1, 4, 3, 3, 0, 3, 3, 0, 3, 0, 1, 0, 0, 0, 2, 3, 3, 2, 1, 4, 0, 3, 1, 4, 1, 3, 0, 3, 4, 4, 0, 1, 3, 2, 0, 1, 1, 0]
pubkeycol774 = [4, 1, 4, 1, 1, 1, 2, 2, 4, 1, 4, 3, 1, 1, 0, 0, 3, 2, 0, 4, 3, 4, 2, 2, 1, 2, 2, 0, 2, 3, 3, 3, 1, 3, 2, 4, 0, 3, 2, 1, 2, 3, 4, 4, 3, 2, 0, 3, 4, 1, 0, 2, 2, 0, 2, 1, 3, 2, 1, 3, 3, 0, 2, 3, 1, 3, 3, 0, 2, 2, 3, 0, 2, 4, 4, 1, 1, 4, 3, 3, 1, 0, 4, 4, 1, 4, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 4, 0, 4, 3, 1, 0, 1, 2, 1, 2, 1, 3, 4, 4, 1, 0, 3, 1, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 0, 3, 3, 1, 4, 4, 0, 4, 3, 1, 1, 2, 4, 2, 0, 2, 1, 4, 4, 3, 0, 3, 0, 1, 4, 4, 3, 1, 1, 0, 1, 4, 4, 4, 0, 2, 2, 4, 2, 3, 4, 3, 2, 3, 4, 1, 1, 2, 0, 0, 1, 3, 1, 2, 0, 3, 3, 0, 2, 1, 3, 2, 1, 0, 1, 1, 2, 4, 0, 2, 1, 4, 4, 3, 1, 1, 1, 4, 3, 3, 3, 2, 1, 2, 1, 2, 3, 3, 1, 2, 4, 2, 3, 3, 3, 0, 1, 0, 1, 0, 0, 1, 3, 1, 2, 4, 1, 2, 3, 1, 2, 1, 1, 3, 4, 0, 2, 3, 3, 4, 0, 4, 3, 2, 2, 2, 4, 1, 1, 4, 3, 3, 2, 2, 0, 1, 4, 4, 1, 1, 4, 0, 0, 0, 4, 0, 4, 1, 1, 3, 2, 2, 2, 0, 2, 0, 0, 4, 1, 1, 1, 2, 3, 3, 1, 1, 2, 4, 4, 4, 2, 2, 3, 4, 1, 3, 2, 4, 0, 1, 3, 2, 0, 0, 4, 0, 2, 4, 4, 3, 3, 3, 1, 4, 3]
pubkeycol775 = [1, 4, 2, 1, 3, 1, 2, 3, 2, 1, 0, 2, 4, 3, 3, 4, 3, 2, 3, 4, 4, 2, 2, 3, 1, 3, 3, 0, 2, 3, 2, 0, 4, 4, 2, 3, 3, 3, 2, 0, 3, 4, 1, 2, 4, 2, 0, 1, 0, 0, 3, 2, 3, 0, 0, 4, 2, 1, 1, 4, 2, 2, 3, 1, 4, 0, 2, 0, 2, 1, 1, 3, 0, 4, 0, 1, 0, 1, 2, 0, 4, 1, 2, 3, 0, 0, 3, 0, 3, 2, 4, 2, 0, 1, 3, 3, 3, 3, 1, 4, 2, 3, 4, 1, 3, 1, 2, 2, 3, 3, 2, 1, 1, 2, 2, 3, 3, 4, 2, 1, 4, 2, 1, 2, 2, 4, 2, 4, 2, 2, 3, 2, 2, 3, 1, 4, 0, 2, 4, 3, 3, 1, 4, 3, 4, 4, 3, 4, 2, 0, 4, 1, 4, 3, 3, 2, 3, 0, 1, 3, 1, 2, 4, 0, 0, 3, 0, 0, 4, 3, 1, 1, 3, 2, 3, 4, 0, 4, 1, 2, 1, 1, 2, 3, 2, 1, 2, 3, 2, 4, 1, 3, 0, 4, 3, 1, 1, 2, 1, 0, 0, 3, 4, 3, 2, 4, 4, 1, 1, 1, 3, 2, 2, 0, 2, 1, 0, 1, 3, 3, 2, 3, 3, 1, 0, 4, 3, 3, 4, 1, 2, 1, 1, 2, 0, 0, 4, 3, 4, 1, 0, 0, 0, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 0, 4, 3, 3, 1, 0, 1, 1, 2, 3, 1, 2, 2, 0, 4, 3, 1, 4, 3, 4, 4, 3, 0, 3, 1, 0, 0, 0, 4, 4, 3, 2, 4, 4, 0, 4, 4, 3, 4, 3, 0, 3, 1, 3, 3, 1, 0, 1, 3, 2, 4, 0, 1, 1, 2, 0, 2, 3, 4, 3, 4, 2, 3, 2, 2, 0, 0]
pubkeycol776 = [4, 4, 2, 2, 1, 4, 1, 2, 0, 0, 1, 4, 1, 0, 4, 2, 0, 3, 3, 1, 1, 3, 3, 4, 3, 1, 4, 0, 0, 3, 2, 3, 1, 0, 2, 4, 2, 4, 0, 1, 2, 0, 4, 3, 0, 1, 3, 4, 1, 3, 1, 0, 4, 3, 4, 4, 4, 2, 1, 0, 2, 3, 4, 2, 1, 2, 0, 0, 3, 2, 0, 0, 1, 1, 2, 3, 2, 2, 0, 0, 4, 1, 3, 0, 3, 0, 0, 2, 2, 0, 0, 2, 2, 4, 2, 1, 2, 1, 0, 1, 0, 3, 4, 2, 3, 4, 4, 1, 1, 3, 0, 3, 4, 1, 4, 2, 4, 3, 2, 0, 4, 3, 2, 4, 2, 0, 0, 3, 3, 3, 3, 3, 0, 4, 2, 3, 3, 0, 4, 3, 4, 4, 3, 0, 3, 4, 3, 4, 2, 2, 0, 3, 1, 1, 3, 0, 4, 0, 1, 3, 1, 0, 1, 3, 1, 0, 4, 3, 2, 2, 3, 4, 0, 4, 4, 4, 4, 3, 3, 4, 1, 0, 2, 1, 2, 0, 3, 1, 3, 2, 0, 2, 0, 0, 0, 2, 0, 4, 4, 0, 2, 0, 2, 4, 3, 2, 3, 1, 1, 3, 4, 0, 2, 2, 0, 1, 1, 4, 4, 0, 2, 1, 1, 3, 2, 4, 2, 0, 1, 2, 4, 1, 2, 4, 0, 0, 2, 2, 0, 0, 2, 0, 4, 2, 3, 1, 4, 3, 4, 3, 3, 4, 0, 1, 0, 0, 1, 4, 4, 4, 0, 3, 4, 2, 2, 3, 4, 0, 4, 4, 0, 0, 4, 3, 4, 2, 3, 2, 3, 4, 0, 1, 0, 3, 2, 2, 3, 3, 0, 3, 1, 4, 3, 4, 1, 1, 4, 0, 1, 1, 0, 3, 0, 4, 2, 1, 1, 2, 0, 3, 3, 0, 0, 0, 4, 2, 0, 4, 1, 3]
pubkeycol777 = [2, 3, 1, 1, 3, 1, 1, 4, 3, 3, 2, 1, 1, 2, 1, 1, 3, 2, 3, 4, 1, 1, 3, 4, 4, 4, 0, 4, 2, 0, 2, 2, 3, 4, 0, 3, 4, 3, 3, 2, 1, 4, 0, 1, 0, 1, 2, 4, 1, 3, 1, 0, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 3, 1, 1, 1, 3, 0, 1, 3, 4, 0, 1, 3, 4, 2, 2, 4, 0, 1, 1, 4, 3, 0, 1, 0, 4, 0, 0, 0, 3, 3, 1, 2, 1, 0, 3, 2, 0, 1, 2, 4, 4, 3, 1, 4, 1, 0, 0, 2, 1, 2, 4, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 3, 0, 3, 2, 0, 2, 2, 3, 3, 2, 4, 0, 4, 1, 1, 3, 4, 0, 3, 1, 0, 2, 3, 2, 0, 1, 4, 2, 3, 1, 0, 0, 1, 0, 4, 1, 0, 0, 4, 2, 4, 3, 4, 1, 0, 3, 4, 2, 0, 1, 2, 1, 4, 1, 1, 4, 4, 0, 4, 2, 1, 1, 4, 2, 3, 0, 1, 4, 4, 1, 3, 0, 0, 0, 3, 4, 4, 3, 1, 4, 1, 0, 3, 2, 1, 3, 4, 0, 1, 3, 2, 0, 1, 4, 1, 1, 0, 2, 2, 3, 2, 2, 2, 0, 2, 3, 4, 1, 2, 2, 2, 1, 4, 0, 3, 3, 4, 1, 1, 3, 0, 0, 4, 1, 1, 3, 2, 2, 1, 0, 2, 4, 4, 4, 0, 1, 0, 1, 1, 0, 0, 2, 4, 4, 4, 4, 1, 0, 2, 1, 2, 4, 4, 1, 4, 4, 0, 3, 0, 4, 4, 0, 3, 1, 0, 4, 0, 4, 4, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 3, 1, 0, 4, 4, 0, 4, 3, 1, 4, 0, 3, 0, 4, 0, 2, 1, 1]
pubkeycol778 = [2, 2, 4, 0, 0, 4, 0, 3, 3, 2, 4, 4, 0, 3, 2, 1, 4, 3, 2, 3, 2, 4, 3, 4, 2, 0, 1, 2, 4, 2, 0, 0, 3, 1, 0, 4, 1, 1, 2, 4, 1, 0, 3, 3, 2, 3, 2, 2, 3, 1, 0, 0, 1, 3, 2, 0, 3, 1, 2, 2, 4, 1, 0, 4, 2, 3, 2, 4, 4, 1, 2, 3, 1, 3, 1, 0, 2, 2, 2, 0, 0, 1, 3, 2, 3, 0, 2, 2, 2, 3, 1, 0, 3, 0, 4, 2, 0, 0, 2, 1, 0, 3, 4, 4, 0, 0, 0, 3, 2, 4, 3, 1, 4, 0, 4, 1, 0, 4, 3, 0, 3, 4, 2, 1, 4, 4, 4, 0, 0, 1, 0, 1, 3, 1, 4, 3, 1, 4, 2, 2, 1, 3, 1, 4, 0, 0, 4, 2, 2, 1, 1, 4, 2, 2, 1, 2, 2, 2, 0, 4, 3, 4, 3, 4, 3, 0, 4, 4, 0, 1, 2, 0, 1, 4, 1, 3, 3, 0, 0, 2, 4, 2, 4, 3, 4, 2, 4, 2, 3, 0, 2, 0, 2, 1, 4, 2, 0, 1, 0, 1, 0, 4, 3, 3, 4, 1, 2, 3, 2, 1, 3, 0, 0, 0, 4, 3, 1, 2, 4, 3, 1, 4, 4, 4, 1, 1, 1, 0, 3, 2, 0, 0, 1, 2, 1, 3, 2, 4, 1, 2, 4, 4, 2, 1, 1, 0, 1, 3, 1, 4, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 4, 4, 2, 2, 4, 4, 4, 1, 3, 0, 0, 3, 4, 2, 0, 0, 3, 1, 4, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 3, 3, 3, 4, 1, 3, 2, 0, 4, 3, 2, 2, 4, 2, 3, 3, 4, 3, 1, 3, 1, 2, 4, 3, 4, 4, 3, 1, 2]
pubkeycol779 = [4, 0, 4, 0, 4, 3, 4, 2, 3, 4, 2, 2, 4, 1, 1, 4, 2, 0, 0, 4, 4, 4, 0, 0, 2, 4, 3, 2, 1, 2, 0, 3, 2, 3, 1, 4, 0, 1, 0, 0, 2, 4, 2, 2, 3, 3, 3, 0, 2, 1, 4, 0, 2, 3, 2, 1, 2, 4, 3, 3, 1, 0, 4, 0, 0, 1, 0, 2, 3, 2, 2, 0, 1, 1, 2, 4, 2, 4, 1, 3, 3, 3, 4, 4, 1, 3, 1, 2, 0, 3, 4, 0, 3, 2, 4, 0, 2, 2, 4, 3, 4, 1, 2, 2, 2, 3, 3, 1, 1, 2, 4, 2, 0, 1, 1, 3, 3, 4, 4, 3, 2, 0, 1, 1, 2, 2, 3, 3, 3, 1, 4, 4, 3, 0, 1, 0, 1, 2, 0, 3, 4, 3, 2, 1, 3, 4, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 3, 4, 1, 1, 4, 3, 0, 4, 2, 2, 0, 3, 1, 1, 2, 0, 3, 4, 2, 3, 0, 1, 3, 2, 0, 2, 0, 2, 3, 3, 2, 1, 0, 3, 4, 3, 0, 4, 1, 4, 0, 1, 2, 2, 1, 4, 4, 0, 1, 4, 2, 3, 0, 0, 1, 1, 2, 0, 4, 0, 0, 2, 1, 0, 3, 4, 0, 4, 2, 2, 0, 0, 1, 3, 0, 0, 4, 4, 2, 4, 0, 1, 4, 2, 0, 3, 2, 3, 4, 4, 1, 4, 2, 0, 0, 1, 4, 1, 4, 4, 2, 1, 2, 4, 1, 3, 0, 0, 3, 3, 1, 3, 4, 2, 4, 4, 1, 3, 4, 0, 3, 4, 4, 4, 3, 2, 0, 2, 2, 0, 3, 0, 4, 0, 4, 2, 3, 2, 0, 1, 3, 1, 3, 0, 2, 0, 2, 3, 0, 3, 4, 3, 0, 2, 4, 4, 4, 3, 4, 2, 3, 2, 0, 4]
pubkeycol780 = [3, 4, 0, 3, 2, 1, 2, 3, 0, 3, 1, 0, 0, 0, 1, 2, 1, 3, 3, 3, 2, 1, 4, 4, 3, 3, 2, 1, 0, 1, 4, 2, 1, 2, 2, 3, 4, 3, 3, 3, 2, 2, 4, 3, 2, 4, 3, 1, 1, 2, 0, 4, 1, 4, 2, 4, 4, 4, 2, 3, 3, 2, 3, 3, 2, 4, 0, 0, 1, 0, 1, 0, 4, 2, 0, 0, 0, 1, 4, 0, 0, 1, 4, 0, 4, 3, 3, 1, 1, 4, 4, 2, 2, 2, 0, 2, 4, 1, 1, 0, 1, 1, 1, 3, 2, 4, 3, 3, 4, 0, 2, 2, 0, 2, 2, 4, 2, 0, 2, 1, 2, 2, 4, 0, 0, 4, 4, 3, 0, 1, 3, 4, 3, 1, 1, 1, 0, 2, 3, 2, 4, 3, 2, 3, 1, 4, 0, 4, 1, 2, 1, 3, 3, 1, 1, 2, 3, 4, 3, 4, 0, 4, 1, 0, 3, 0, 1, 2, 0, 3, 2, 4, 4, 0, 3, 2, 4, 0, 3, 2, 3, 1, 4, 2, 1, 3, 1, 1, 1, 0, 2, 0, 0, 3, 3, 1, 3, 2, 4, 2, 4, 0, 2, 3, 3, 4, 0, 2, 4, 4, 1, 1, 3, 0, 3, 2, 3, 4, 0, 2, 1, 3, 2, 4, 4, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 3, 4, 4, 3, 2, 3, 0, 2, 4, 2, 1, 3, 1, 2, 3, 1, 1, 4, 2, 4, 0, 1, 3, 4, 3, 4, 2, 0, 3, 4, 0, 1, 4, 0, 0, 2, 2, 1, 3, 4, 2, 3, 0, 2, 3, 2, 0, 2, 0, 0, 3, 1, 3, 3, 1, 3, 0, 2, 2, 0, 2, 1, 3, 4, 2, 3, 1, 3, 0, 1, 3, 2, 1, 1, 0, 1, 2, 3, 3, 4, 1, 1, 1, 4, 2]
pubkeycol781 = [4, 2, 1, 0, 1, 4, 3, 4, 1, 1, 1, 2, 3, 2, 3, 2, 0, 4, 2, 3, 1, 0, 3, 0, 2, 0, 3, 0, 1, 0, 2, 1, 0, 4, 0, 2, 1, 4, 1, 4, 4, 2, 4, 4, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 0, 1, 4, 3, 2, 1, 2, 4, 4, 4, 1, 1, 1, 3, 0, 2, 1, 0, 0, 3, 3, 1, 4, 1, 1, 0, 0, 0, 0, 3, 1, 1, 0, 3, 0, 1, 0, 0, 1, 0, 2, 4, 1, 4, 0, 4, 2, 1, 3, 3, 4, 0, 3, 4, 0, 3, 2, 2, 1, 4, 0, 3, 2, 0, 0, 4, 1, 3, 2, 0, 1, 1, 4, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 3, 4, 2, 3, 4, 4, 2, 1, 1, 2, 3, 2, 1, 1, 3, 2, 1, 4, 4, 2, 2, 4, 2, 1, 2, 4, 1, 2, 2, 4, 4, 0, 1, 3, 4, 2, 1, 4, 3, 2, 3, 1, 1, 3, 4, 4, 4, 4, 4, 3, 3, 3, 2, 0, 4, 0, 2, 0, 2, 1, 0, 4, 1, 3, 1, 4, 3, 3, 0, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 0, 4, 0, 0, 2, 1, 2, 0, 0, 3, 1, 1, 2, 0, 2, 4, 2, 2, 4, 1, 0, 3, 1, 4, 1, 1, 4, 1, 1, 0, 4, 4, 3, 0, 2, 4, 4, 2, 0, 0, 2, 3, 1, 0, 0, 2, 0, 4, 3, 0, 1, 1, 2, 4, 3, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 4, 1, 3, 2, 1, 0, 3, 3, 3, 3, 0, 0, 4, 0, 3, 4, 2, 1, 1, 2, 1, 0, 4, 1, 0, 4, 1, 0]
pubkeycol782 = [3, 3, 2, 4, 2, 2, 4, 3, 3, 3, 0, 0, 4, 1, 0, 4, 2, 0, 2, 2, 1, 0, 2, 3, 1, 2, 1, 2, 4, 0, 3, 4, 0, 0, 0, 4, 3, 0, 3, 2, 3, 2, 2, 4, 0, 1, 2, 0, 2, 1, 0, 4, 0, 1, 0, 4, 2, 1, 3, 4, 3, 3, 3, 4, 2, 3, 0, 1, 1, 0, 0, 1, 3, 4, 2, 1, 0, 1, 4, 2, 1, 1, 3, 2, 2, 2, 1, 4, 1, 3, 3, 3, 1, 4, 3, 0, 4, 4, 1, 0, 0, 3, 3, 3, 3, 1, 2, 4, 1, 0, 1, 4, 1, 1, 4, 1, 1, 1, 4, 2, 3, 4, 1, 4, 2, 0, 1, 0, 3, 0, 1, 3, 1, 3, 4, 2, 3, 4, 4, 1, 1, 1, 0, 0, 3, 3, 4, 1, 1, 2, 1, 2, 2, 0, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 0, 1, 4, 0, 3, 3, 0, 3, 2, 1, 3, 4, 4, 4, 3, 4, 2, 3, 1, 1, 4, 4, 0, 1, 1, 1, 4, 0, 1, 2, 0, 2, 1, 2, 1, 2, 3, 2, 3, 2, 0, 1, 0, 0, 0, 3, 3, 0, 4, 1, 0, 0, 4, 1, 2, 2, 0, 4, 3, 1, 2, 2, 4, 2, 0, 2, 4, 4, 0, 0, 4, 3, 3, 3, 3, 0, 2, 0, 2, 2, 4, 4, 2, 4, 2, 0, 3, 3, 3, 4, 4, 3, 2, 0, 3, 4, 0, 3, 2, 0, 4, 1, 1, 4, 2, 1, 4, 4, 0, 4, 0, 1, 1, 1, 4, 2, 1, 4, 4, 4, 1, 3, 4, 2, 2, 2, 2, 3, 2, 2, 0, 3, 0, 2, 1, 2, 2, 2, 4, 4, 1, 4, 2, 0, 2, 4, 3, 1, 1, 3, 4, 2, 2, 1, 4, 2]
pubkeycol783 = [1, 0, 4, 2, 2, 1, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 2, 0, 4, 0, 0, 1, 3, 4, 1, 1, 3, 4, 3, 1, 1, 0, 2, 0, 4, 0, 1, 4, 2, 3, 0, 4, 3, 2, 0, 3, 2, 4, 2, 3, 3, 2, 4, 4, 4, 4, 4, 1, 0, 1, 4, 2, 3, 2, 1, 2, 4, 0, 3, 1, 4, 2, 1, 3, 1, 3, 1, 4, 1, 0, 2, 0, 1, 2, 3, 1, 4, 1, 2, 0, 4, 2, 3, 4, 1, 3, 1, 4, 0, 0, 1, 2, 3, 3, 2, 1, 1, 2, 0, 1, 2, 2, 0, 3, 1, 4, 4, 2, 1, 1, 3, 2, 4, 2, 0, 2, 1, 1, 3, 1, 2, 0, 3, 0, 0, 0, 3, 2, 0, 2, 3, 0, 0, 4, 3, 3, 4, 0, 3, 2, 1, 1, 0, 4, 4, 1, 4, 4, 0, 1, 0, 0, 0, 4, 4, 4, 0, 0, 4, 1, 1, 2, 1, 1, 4, 0, 1, 2, 0, 1, 1, 0, 1, 3, 4, 2, 4, 0, 0, 4, 0, 0, 4, 2, 3, 4, 3, 0, 2, 2, 2, 1, 0, 2, 3, 2, 3, 3, 1, 2, 1, 2, 4, 0, 3, 0, 3, 1, 1, 4, 2, 3, 1, 1, 2, 3, 1, 1, 3, 2, 4, 1, 2, 1, 0, 1, 0, 0, 4, 0, 3, 1, 0, 1, 1, 4, 1, 4, 4, 4, 4, 3, 4, 0, 4, 3, 0, 4, 4, 3, 2, 4, 3, 1, 4, 3, 0, 1, 3, 4, 1, 2, 1, 3, 0, 2, 4, 2, 2, 0, 4, 0, 2, 0, 3, 2, 3, 2, 4, 1, 0, 2, 2, 4, 3, 1, 1, 3, 0, 1, 0, 0, 2, 1, 2, 4, 1, 4, 3, 2, 1, 4, 1, 1, 1, 4, 0, 3, 1, 0]
pubkeycol784 = [2, 2, 2, 3, 2, 0, 0, 1, 3, 3, 3, 4, 4, 1, 0, 2, 2, 0, 3, 2, 0, 0, 3, 0, 1, 1, 3, 2, 2, 1, 0, 1, 2, 3, 4, 4, 4, 4, 1, 1, 1, 4, 4, 0, 2, 3, 3, 4, 1, 3, 4, 4, 4, 3, 4, 0, 3, 1, 3, 0, 3, 3, 1, 4, 3, 1, 4, 1, 2, 3, 0, 4, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 3, 4, 4, 4, 4, 4, 1, 4, 4, 3, 4, 2, 4, 1, 3, 1, 0, 4, 0, 4, 2, 0, 2, 2, 0, 2, 3, 3, 3, 4, 4, 0, 2, 4, 2, 3, 4, 2, 4, 2, 4, 1, 4, 3, 3, 1, 3, 3, 4, 2, 0, 0, 3, 0, 1, 2, 4, 3, 3, 4, 2, 4, 4, 1, 1, 3, 1, 3, 1, 2, 3, 4, 4, 3, 4, 4, 0, 0, 3, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 2, 3, 0, 4, 0, 2, 0, 0, 3, 0, 1, 2, 2, 3, 0, 0, 0, 0, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 0, 1, 0, 2, 4, 0, 0, 4, 2, 4, 3, 2, 0, 2, 0, 4, 2, 1, 1, 1, 4, 0, 3, 3, 2, 0, 0, 1, 0, 0, 2, 4, 3, 1, 4, 2, 0, 0, 3, 1, 1, 1, 3, 0, 0, 0, 4, 4, 4, 3, 0, 2, 3, 0, 3, 1, 0, 0, 1, 1, 1, 2, 2, 3, 1, 3, 4, 1, 4, 2, 3, 2, 0, 0, 1, 3, 2, 2, 0, 2, 2, 4, 4, 0, 3, 1, 3, 2, 4, 1, 0, 1, 4, 3, 0, 0, 4, 1, 3, 1, 4, 4, 2, 2, 2, 3, 0, 2, 3, 4, 0, 3, 1, 2, 4, 0, 0, 1, 3]
pubkeycol785 = [3, 4, 1, 4, 4, 2, 1, 2, 2, 4, 4, 0, 4, 4, 0, 4, 3, 3, 4, 2, 4, 0, 0, 0, 3, 3, 0, 1, 0, 3, 3, 2, 1, 4, 3, 3, 2, 3, 0, 1, 0, 3, 0, 0, 1, 2, 4, 2, 3, 1, 2, 1, 4, 4, 0, 2, 3, 2, 4, 1, 0, 3, 3, 4, 1, 4, 3, 4, 1, 2, 4, 2, 4, 0, 3, 0, 3, 1, 1, 1, 3, 1, 1, 4, 2, 0, 4, 1, 0, 1, 4, 4, 4, 3, 4, 2, 0, 3, 1, 4, 2, 2, 2, 2, 4, 3, 1, 3, 0, 1, 0, 4, 0, 1, 2, 2, 2, 1, 1, 2, 0, 4, 4, 2, 3, 1, 4, 1, 3, 3, 0, 3, 4, 2, 4, 3, 4, 3, 4, 3, 0, 3, 4, 4, 3, 3, 2, 3, 2, 2, 2, 4, 0, 0, 1, 4, 2, 0, 1, 4, 1, 0, 0, 4, 2, 2, 0, 4, 2, 3, 1, 0, 0, 1, 4, 1, 0, 0, 3, 2, 0, 1, 4, 1, 2, 0, 1, 3, 2, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 1, 2, 2, 4, 0, 1, 2, 1, 0, 0, 0, 2, 1, 4, 2, 1, 1, 0, 3, 3, 4, 2, 2, 3, 4, 3, 2, 1, 2, 3, 0, 2, 0, 1, 4, 3, 4, 4, 0, 4, 2, 1, 2, 4, 1, 3, 3, 0, 3, 1, 2, 2, 0, 0, 2, 3, 3, 2, 2, 3, 4, 0, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 4, 0, 1, 0, 0, 4, 0, 3, 2, 3, 0, 3, 0, 0, 0, 1, 0, 4, 1, 1, 1, 4, 0, 4, 4, 1, 4, 1, 3, 3, 4, 0, 0, 2, 0, 2, 3, 1, 4, 0, 0, 1, 2, 1, 2, 3, 1, 1, 0]
pubkeycol786 = [2, 1, 3, 1, 3, 1, 4, 3, 1, 1, 3, 1, 4, 2, 4, 4, 0, 4, 0, 4, 3, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 2, 4, 2, 4, 0, 2, 3, 0, 4, 1, 0, 1, 0, 2, 1, 3, 4, 1, 2, 3, 3, 1, 1, 4, 2, 4, 1, 2, 3, 2, 1, 3, 3, 2, 0, 0, 1, 4, 4, 2, 4, 4, 2, 2, 1, 2, 4, 1, 2, 0, 1, 0, 3, 4, 1, 2, 3, 1, 0, 4, 3, 3, 2, 0, 4, 1, 2, 2, 3, 1, 4, 3, 4, 4, 3, 3, 1, 4, 0, 2, 1, 1, 0, 2, 1, 2, 3, 4, 0, 2, 2, 4, 1, 4, 2, 1, 2, 3, 0, 0, 3, 4, 4, 4, 0, 0, 2, 0, 3, 0, 0, 3, 2, 4, 4, 0, 2, 2, 3, 4, 4, 3, 0, 4, 1, 1, 4, 4, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 0, 2, 2, 0, 4, 0, 4, 4, 4, 3, 3, 3, 2, 1, 4, 1, 3, 0, 4, 0, 3, 0, 0, 1, 0, 0, 2, 1, 4, 4, 3, 3, 2, 4, 0, 0, 2, 3, 3, 1, 0, 1, 1, 0, 2, 4, 1, 1, 0, 3, 1, 1, 0, 3, 3, 1, 1, 0, 3, 2, 3, 1, 1, 4, 4, 2, 0, 1, 3, 4, 0, 0, 4, 4, 1, 0, 3, 1, 4, 4, 3, 2, 0, 4, 2, 0, 0, 1, 0, 1, 4, 0, 4, 2, 3, 3, 4, 0, 1, 3, 2, 2, 3, 1, 0, 4, 4, 2, 1, 1, 4, 2, 2, 3, 0, 3, 3, 1, 4, 2, 2, 0, 4, 2, 3, 4, 2, 4, 3, 0, 1, 3, 0, 2, 1, 1, 1, 4, 3, 1, 3, 1, 3, 0, 4, 2, 2, 0, 2, 2]
pubkeycol787 = [3, 4, 3, 1, 2, 1, 0, 1, 3, 4, 2, 4, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 4, 2, 0, 0, 2, 1, 1, 4, 1, 0, 0, 3, 1, 2, 3, 2, 4, 1, 2, 1, 4, 0, 3, 3, 0, 0, 0, 3, 1, 3, 2, 1, 4, 3, 0, 2, 3, 3, 0, 0, 0, 4, 0, 4, 0, 4, 3, 0, 4, 4, 1, 0, 3, 4, 1, 4, 3, 4, 4, 1, 3, 2, 1, 4, 1, 0, 3, 3, 3, 2, 0, 2, 0, 4, 3, 0, 4, 4, 2, 3, 4, 3, 1, 4, 1, 1, 0, 2, 3, 1, 0, 1, 4, 2, 1, 2, 2, 4, 4, 0, 3, 1, 1, 0, 0, 4, 2, 4, 0, 4, 2, 3, 0, 2, 0, 2, 2, 3, 2, 0, 4, 4, 1, 2, 3, 0, 3, 1, 1, 2, 1, 2, 4, 1, 4, 3, 3, 2, 2, 4, 3, 3, 3, 2, 2, 3, 1, 1, 0, 2, 1, 3, 2, 4, 4, 3, 1, 0, 1, 0, 3, 4, 2, 3, 3, 2, 3, 4, 0, 3, 3, 0, 2, 4, 3, 2, 2, 1, 1, 3, 1, 1, 1, 0, 2, 0, 3, 1, 1, 4, 0, 3, 0, 4, 2, 1, 2, 3, 4, 3, 2, 3, 2, 0, 2, 3, 3, 2, 2, 4, 2, 2, 0, 2, 0, 1, 2, 1, 4, 0, 3, 0, 4, 0, 1, 2, 0, 4, 4, 4, 1, 1, 1, 1, 3, 1, 1, 2, 4, 2, 3, 1, 4, 1, 1, 0, 4, 4, 2, 4, 2, 1, 3, 0, 0, 4, 4, 2, 2, 3, 4, 1, 4, 3, 1, 1, 0, 3, 4, 4, 4, 1, 0, 3, 3, 2, 1, 3, 4, 0, 0, 4, 3, 4, 4, 3, 2, 4, 1, 4, 0, 2, 3, 4, 2, 0, 3, 2]
pubkeycol788 = [3, 0, 1, 3, 3, 4, 2, 1, 1, 3, 4, 1, 0, 0, 4, 3, 2, 2, 4, 3, 3, 2, 4, 2, 2, 4, 0, 1, 1, 4, 0, 0, 0, 0, 4, 3, 3, 1, 1, 1, 0, 2, 0, 3, 1, 3, 4, 1, 4, 3, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 3, 0, 1, 0, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 3, 4, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 4, 3, 3, 4, 1, 2, 4, 1, 0, 3, 1, 2, 2, 0, 4, 1, 1, 4, 2, 2, 1, 1, 1, 3, 4, 4, 1, 4, 2, 3, 4, 0, 3, 3, 0, 4, 2, 4, 0, 4, 2, 0, 4, 4, 0, 3, 4, 4, 4, 3, 1, 2, 2, 3, 3, 1, 0, 3, 4, 4, 1, 3, 3, 2, 0, 3, 2, 3, 4, 1, 3, 2, 4, 3, 0, 2, 1, 1, 2, 3, 4, 4, 2, 3, 3, 1, 4, 2, 2, 4, 0, 0, 3, 3, 0, 2, 0, 4, 4, 0, 3, 3, 3, 2, 0, 4, 3, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 3, 0, 0, 3, 4, 3, 1, 2, 4, 3, 3, 0, 0, 1, 3, 3, 0, 0, 3, 0, 2, 2, 3, 3, 0, 0, 1, 2, 1, 4, 1, 0, 4, 0, 1, 2, 3, 2, 3, 1, 4, 3, 3, 0, 1, 0, 0, 1, 1, 4, 2, 2, 3, 0, 0, 4, 0, 2, 2, 3, 3, 3, 4, 2, 4, 1, 1, 2, 1, 4, 0, 1, 4, 4, 0, 4, 4, 0, 1, 1, 3, 4, 2, 3, 1, 3, 1, 0, 4, 1, 4, 1, 4, 1, 4, 1, 0, 1, 3, 4, 2, 0, 2, 4, 1, 4]
pubkeycol789 = [3, 1, 4, 1, 1, 0, 4, 3, 2, 3, 4, 4, 1, 4, 3, 1, 2, 3, 2, 1, 3, 2, 0, 2, 0, 4, 2, 3, 0, 3, 0, 1, 0, 4, 4, 1, 4, 4, 0, 0, 2, 2, 4, 1, 3, 4, 3, 3, 4, 2, 0, 3, 3, 1, 4, 4, 0, 3, 1, 4, 1, 0, 2, 1, 0, 3, 3, 3, 3, 0, 0, 1, 1, 4, 1, 2, 4, 1, 2, 3, 3, 1, 4, 3, 3, 3, 2, 1, 2, 1, 2, 0, 4, 0, 0, 1, 1, 0, 0, 0, 1, 4, 3, 2, 2, 0, 2, 0, 3, 0, 2, 0, 0, 2, 2, 2, 4, 4, 3, 4, 2, 4, 1, 4, 1, 3, 4, 1, 1, 0, 4, 3, 0, 2, 3, 4, 0, 2, 2, 0, 4, 4, 1, 1, 1, 3, 3, 3, 0, 3, 1, 2, 1, 0, 3, 4, 2, 4, 4, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 3, 4, 1, 1, 1, 4, 2, 2, 2, 3, 1, 1, 3, 0, 2, 0, 0, 1, 1, 4, 3, 3, 3, 3, 2, 2, 4, 4, 1, 2, 0, 4, 1, 4, 2, 3, 2, 2, 1, 3, 2, 1, 4, 3, 4, 0, 2, 3, 2, 2, 0, 0, 3, 0, 0, 3, 2, 2, 1, 1, 1, 1, 3, 1, 0, 1, 4, 1, 2, 4, 2, 0, 3, 1, 0, 2, 4, 3, 1, 1, 0, 3, 0, 4, 1, 1, 1, 4, 0, 3, 4, 1, 2, 1, 3, 3, 4, 3, 0, 1, 2, 1, 3, 1, 2, 3, 1, 0, 2, 4, 3, 2, 4, 0, 0, 0, 4, 2, 3, 1, 1, 2, 2, 1, 1, 4, 4, 1, 2, 3, 4, 2, 2, 4, 3, 2, 3, 4, 1, 3, 2, 3, 4, 1, 2, 2, 4, 4]
pubkeycol790 = [1, 3, 2, 0, 2, 1, 3, 1, 4, 0, 4, 4, 1, 2, 0, 1, 3, 1, 4, 0, 1, 3, 3, 0, 4, 0, 2, 2, 4, 4, 4, 1, 1, 2, 3, 1, 1, 1, 3, 3, 2, 4, 1, 4, 1, 4, 3, 4, 2, 4, 1, 4, 1, 2, 4, 4, 4, 0, 3, 4, 3, 0, 0, 0, 2, 0, 0, 3, 3, 4, 1, 4, 2, 1, 1, 2, 0, 1, 3, 2, 3, 0, 3, 3, 4, 0, 1, 4, 4, 0, 2, 1, 1, 3, 3, 1, 1, 4, 1, 2, 0, 1, 4, 3, 2, 3, 3, 1, 3, 1, 4, 0, 1, 4, 2, 0, 4, 0, 1, 3, 2, 1, 4, 3, 0, 0, 3, 0, 2, 1, 3, 4, 0, 0, 2, 4, 4, 2, 1, 3, 0, 2, 0, 0, 3, 3, 2, 2, 2, 0, 1, 4, 1, 0, 1, 1, 3, 4, 3, 0, 3, 2, 2, 4, 1, 2, 3, 2, 2, 0, 4, 1, 4, 0, 1, 4, 1, 2, 4, 4, 4, 1, 3, 1, 3, 1, 3, 4, 4, 0, 4, 3, 4, 3, 0, 1, 1, 2, 2, 1, 4, 4, 2, 3, 1, 0, 4, 1, 1, 1, 3, 1, 1, 4, 4, 0, 1, 2, 4, 4, 0, 2, 0, 2, 4, 1, 1, 2, 0, 1, 3, 1, 0, 1, 3, 1, 4, 3, 2, 2, 3, 0, 0, 3, 0, 2, 0, 3, 4, 4, 4, 2, 4, 0, 2, 3, 0, 2, 4, 2, 0, 0, 1, 1, 4, 0, 1, 1, 1, 0, 1, 1, 4, 1, 3, 2, 4, 3, 2, 4, 0, 3, 1, 2, 1, 2, 2, 0, 3, 4, 3, 0, 4, 4, 4, 3, 3, 2, 2, 0, 1, 1, 3, 3, 3, 3, 4, 3, 0, 3, 2, 2, 4, 2, 4, 4, 2, 4, 4, 3]
pubkeycol791 = [2, 0, 1, 4, 0, 1, 4, 2, 1, 2, 0, 3, 4, 3, 2, 2, 2, 2, 2, 4, 0, 3, 2, 4, 2, 3, 2, 4, 2, 3, 4, 0, 2, 0, 0, 4, 1, 4, 2, 4, 0, 3, 4, 4, 1, 2, 3, 0, 2, 2, 3, 3, 4, 1, 4, 4, 4, 0, 0, 2, 2, 1, 2, 0, 3, 2, 3, 4, 4, 2, 3, 3, 3, 0, 2, 1, 1, 0, 2, 3, 3, 2, 2, 2, 3, 0, 4, 0, 2, 1, 3, 4, 2, 4, 2, 1, 1, 0, 3, 2, 0, 0, 2, 2, 3, 4, 4, 2, 4, 2, 2, 2, 0, 1, 3, 3, 1, 3, 0, 3, 0, 4, 0, 1, 2, 4, 0, 0, 1, 2, 1, 3, 4, 1, 0, 3, 2, 1, 4, 2, 2, 0, 2, 2, 0, 4, 3, 3, 1, 3, 4, 2, 1, 3, 4, 0, 4, 0, 2, 4, 1, 1, 3, 3, 0, 0, 2, 0, 4, 1, 4, 0, 1, 2, 3, 3, 4, 3, 4, 3, 0, 1, 1, 3, 3, 3, 3, 0, 3, 3, 2, 1, 0, 2, 3, 3, 3, 3, 1, 0, 1, 4, 1, 0, 4, 4, 4, 4, 3, 2, 0, 0, 4, 0, 2, 3, 0, 3, 2, 2, 3, 4, 1, 0, 4, 2, 4, 2, 1, 0, 0, 0, 4, 2, 1, 1, 2, 3, 3, 4, 0, 0, 1, 4, 2, 2, 3, 4, 1, 4, 0, 4, 2, 4, 1, 0, 1, 1, 1, 4, 3, 2, 1, 4, 2, 0, 3, 1, 2, 2, 3, 0, 2, 2, 0, 4, 4, 3, 0, 0, 4, 0, 3, 1, 1, 4, 0, 0, 3, 4, 2, 0, 1, 4, 1, 4, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 4, 2, 1, 3, 1, 1, 2, 0, 2, 1, 1, 2, 3, 0]
pubkeycol792 = [3, 3, 0, 0, 2, 1, 0, 3, 4, 1, 4, 0, 2, 3, 1, 1, 4, 0, 4, 4, 0, 3, 3, 1, 3, 2, 3, 2, 4, 3, 2, 2, 1, 3, 3, 1, 3, 2, 1, 1, 4, 4, 4, 1, 2, 0, 0, 4, 1, 4, 2, 3, 2, 4, 3, 2, 4, 3, 3, 0, 3, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 4, 3, 0, 3, 4, 2, 3, 4, 0, 2, 4, 4, 0, 3, 3, 4, 3, 1, 2, 4, 0, 1, 0, 3, 4, 3, 1, 2, 2, 1, 4, 4, 4, 0, 1, 0, 4, 2, 0, 2, 4, 0, 1, 1, 0, 4, 1, 2, 2, 0, 1, 2, 3, 2, 2, 1, 2, 0, 4, 1, 2, 2, 4, 4, 0, 4, 4, 4, 1, 2, 3, 4, 4, 0, 2, 2, 1, 0, 0, 0, 4, 1, 0, 0, 4, 2, 4, 2, 1, 3, 3, 1, 3, 2, 0, 0, 2, 0, 4, 4, 0, 0, 1, 2, 0, 2, 0, 1, 4, 1, 2, 0, 2, 4, 3, 1, 4, 4, 4, 1, 4, 1, 1, 2, 3, 4, 2, 3, 1, 1, 0, 2, 0, 0, 2, 3, 1, 4, 1, 4, 0, 0, 1, 0, 4, 2, 4, 1, 4, 0, 1, 4, 0, 0, 0, 2, 0, 4, 1, 3, 1, 1, 4, 0, 4, 0, 2, 3, 0, 3, 3, 2, 2, 3, 2, 0, 3, 3, 1, 4, 4, 4, 3, 2, 1, 3, 2, 1, 2, 4, 4, 3, 4, 2, 0, 2, 4, 2, 1, 4, 3, 1, 2, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 3, 1, 0, 1, 3, 0, 0, 3, 3, 2, 0, 3, 3, 3, 3, 1, 4, 4, 4, 4, 0, 3, 3, 4, 0, 0, 3, 4, 4, 3, 1, 3, 0]
pubkeycol793 = [3, 1, 2, 4, 3, 4, 2, 3, 1, 3, 4, 1, 3, 0, 0, 2, 4, 2, 3, 4, 1, 1, 2, 0, 4, 4, 1, 1, 3, 0, 3, 1, 3, 1, 2, 1, 2, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 2, 0, 2, 1, 4, 1, 2, 2, 3, 2, 3, 3, 4, 4, 1, 1, 0, 2, 2, 0, 4, 2, 3, 4, 2, 4, 2, 1, 2, 1, 3, 3, 4, 3, 1, 0, 1, 2, 2, 4, 2, 3, 0, 2, 1, 2, 0, 1, 1, 0, 3, 0, 3, 2, 2, 2, 3, 0, 2, 2, 1, 0, 3, 3, 4, 3, 0, 2, 3, 2, 1, 0, 0, 2, 3, 3, 2, 0, 1, 0, 1, 3, 0, 2, 0, 2, 0, 2, 4, 1, 1, 3, 4, 3, 2, 2, 1, 2, 4, 1, 2, 1, 4, 2, 4, 0, 3, 1, 2, 3, 4, 1, 1, 4, 1, 1, 3, 1, 1, 1, 0, 1, 3, 2, 1, 2, 4, 1, 4, 4, 0, 4, 1, 2, 1, 3, 2, 4, 4, 0, 4, 1, 2, 0, 4, 2, 4, 0, 2, 1, 2, 2, 2, 0, 4, 1, 1, 3, 3, 0, 3, 4, 2, 1, 3, 4, 0, 1, 2, 1, 2, 2, 3, 0, 2, 1, 4, 3, 3, 3, 0, 1, 2, 0, 3, 4, 1, 4, 3, 0, 4, 3, 3, 3, 4, 3, 0, 3, 4, 4, 4, 4, 4, 1, 3, 1, 2, 1, 0, 3, 2, 2, 4, 2, 0, 0, 4, 2, 1, 4, 1, 2, 3, 2, 0, 0, 4, 4, 0, 0, 2, 1, 3, 2, 3, 0, 2, 4, 3, 2, 4, 3, 4, 4, 4, 2, 2, 2, 2, 3, 1, 2, 0, 2, 3, 3, 2, 3, 3, 3, 0, 1, 2, 2, 3, 4, 2, 3, 1, 0, 1, 4, 0]
pubkeycol794 = [3, 2, 4, 0, 0, 3, 4, 4, 2, 2, 2, 3, 4, 2, 1, 1, 4, 3, 2, 2, 3, 4, 2, 4, 2, 2, 2, 2, 1, 0, 2, 3, 2, 4, 1, 0, 2, 2, 4, 3, 1, 4, 4, 1, 4, 4, 3, 3, 1, 4, 4, 0, 4, 0, 4, 4, 4, 1, 3, 1, 0, 3, 2, 4, 2, 3, 0, 0, 0, 2, 1, 3, 4, 0, 4, 0, 3, 1, 0, 3, 4, 2, 3, 1, 2, 4, 1, 0, 4, 2, 3, 0, 4, 2, 4, 1, 1, 4, 4, 3, 3, 0, 2, 1, 3, 1, 0, 0, 2, 1, 2, 2, 2, 3, 4, 3, 2, 4, 0, 0, 2, 0, 3, 3, 4, 3, 3, 4, 1, 1, 1, 1, 4, 3, 1, 3, 2, 0, 0, 4, 3, 0, 2, 3, 4, 2, 2, 0, 1, 1, 4, 3, 0, 4, 1, 4, 0, 1, 0, 4, 3, 4, 3, 4, 3, 4, 2, 3, 1, 1, 3, 4, 3, 2, 2, 2, 1, 1, 4, 1, 2, 4, 3, 3, 1, 4, 0, 3, 4, 4, 1, 4, 0, 3, 3, 2, 4, 0, 0, 0, 1, 4, 0, 3, 0, 3, 2, 2, 3, 1, 3, 2, 1, 3, 4, 4, 4, 2, 4, 3, 2, 0, 3, 3, 3, 4, 3, 1, 3, 2, 3, 4, 4, 0, 0, 4, 0, 1, 2, 4, 4, 1, 2, 4, 3, 4, 4, 0, 3, 3, 1, 0, 2, 2, 2, 3, 0, 4, 4, 1, 0, 0, 0, 1, 3, 1, 0, 2, 4, 3, 2, 0, 0, 0, 0, 4, 2, 2, 3, 4, 2, 1, 1, 0, 3, 2, 3, 0, 3, 4, 4, 2, 4, 1, 2, 0, 3, 4, 4, 1, 1, 0, 3, 3, 3, 2, 4, 3, 2, 1, 3, 4, 1, 3, 3, 4, 4, 0, 0, 1]
pubkeycol795 = [4, 4, 0, 1, 1, 0, 3, 2, 4, 4, 1, 0, 4, 0, 2, 4, 4, 1, 1, 2, 0, 2, 2, 4, 4, 3, 2, 0, 3, 0, 2, 1, 1, 3, 0, 2, 4, 2, 0, 3, 2, 1, 2, 1, 3, 1, 1, 3, 4, 3, 1, 4, 2, 1, 2, 1, 0, 3, 0, 1, 0, 4, 2, 2, 2, 0, 3, 3, 2, 4, 3, 3, 2, 0, 2, 0, 0, 3, 1, 0, 4, 1, 2, 4, 3, 0, 3, 0, 1, 3, 0, 0, 0, 2, 3, 1, 4, 3, 4, 0, 4, 1, 4, 1, 4, 0, 2, 3, 0, 0, 1, 1, 0, 2, 1, 4, 1, 3, 2, 0, 0, 3, 0, 1, 3, 3, 0, 2, 0, 2, 0, 2, 4, 3, 4, 0, 4, 2, 0, 4, 2, 1, 1, 0, 3, 3, 0, 0, 1, 3, 1, 2, 2, 0, 1, 4, 4, 2, 2, 1, 3, 3, 0, 3, 2, 1, 3, 3, 0, 4, 0, 2, 2, 2, 2, 4, 3, 1, 0, 3, 1, 3, 4, 3, 0, 1, 2, 4, 0, 0, 2, 4, 1, 0, 2, 2, 3, 2, 1, 0, 4, 4, 2, 3, 3, 3, 0, 3, 2, 3, 1, 4, 0, 0, 0, 4, 3, 4, 1, 3, 2, 2, 2, 3, 0, 2, 1, 4, 4, 3, 3, 4, 2, 1, 2, 4, 2, 0, 0, 0, 2, 4, 0, 0, 2, 1, 1, 2, 3, 0, 0, 4, 3, 2, 1, 4, 2, 1, 1, 3, 0, 2, 3, 4, 4, 1, 0, 2, 1, 2, 1, 3, 0, 3, 0, 1, 4, 4, 0, 2, 0, 0, 4, 2, 0, 4, 1, 3, 2, 1, 2, 1, 1, 4, 0, 3, 0, 1, 2, 3, 1, 4, 1, 2, 0, 0, 0, 0, 3, 2, 1, 4, 0, 0, 2, 4, 3, 2, 3, 0]
pubkeycol796 = [3, 3, 2, 4, 1, 2, 0, 4, 4, 1, 0, 3, 2, 4, 1, 2, 3, 4, 2, 3, 4, 4, 1, 3, 4, 2, 3, 4, 4, 4, 3, 0, 4, 2, 1, 0, 2, 2, 4, 3, 0, 1, 4, 3, 1, 2, 3, 0, 1, 0, 1, 2, 0, 2, 2, 1, 3, 4, 1, 1, 3, 4, 0, 3, 0, 0, 3, 4, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 2, 3, 1, 4, 3, 1, 2, 1, 2, 4, 4, 1, 3, 1, 1, 2, 3, 2, 3, 1, 4, 3, 1, 1, 3, 1, 2, 1, 1, 0, 2, 1, 4, 0, 1, 2, 0, 3, 4, 3, 4, 1, 1, 3, 3, 2, 4, 4, 3, 3, 1, 3, 4, 0, 2, 2, 0, 3, 0, 3, 2, 2, 3, 0, 2, 1, 2, 3, 3, 1, 3, 0, 1, 2, 0, 1, 3, 0, 3, 4, 4, 1, 3, 2, 0, 1, 2, 3, 4, 2, 3, 2, 0, 3, 2, 0, 2, 1, 2, 0, 3, 4, 3, 2, 0, 0, 3, 1, 4, 4, 0, 3, 3, 0, 4, 4, 3, 4, 4, 3, 3, 0, 3, 1, 4, 2, 4, 4, 1, 1, 4, 3, 3, 3, 0, 0, 3, 4, 3, 4, 1, 2, 2, 4, 2, 2, 1, 2, 2, 4, 2, 1, 2, 1, 2, 4, 1, 1, 4, 4, 2, 3, 2, 2, 3, 0, 1, 3, 1, 2, 2, 1, 2, 4, 2, 3, 2, 1, 0, 1, 0, 4, 1, 4, 0, 3, 4, 0, 0, 4, 2, 3, 4, 2, 4, 4, 3, 2, 0, 0, 3, 1, 1, 2, 0, 2, 3, 2, 4, 3, 3, 4, 0, 1, 2, 0, 3, 0, 3, 3, 3, 3, 1, 1, 0, 4, 2, 4, 2, 1, 1, 1, 0, 3, 0, 2, 1, 3, 3, 4, 0, 1]
pubkeycol797 = [0, 0, 1, 3, 2, 0, 2, 3, 0, 2, 4, 2, 2, 4, 2, 4, 3, 0, 3, 4, 3, 4, 3, 4, 0, 1, 1, 4, 4, 4, 1, 2, 2, 2, 2, 4, 1, 4, 4, 1, 2, 0, 1, 2, 4, 0, 3, 3, 2, 2, 1, 0, 2, 4, 0, 0, 4, 2, 2, 3, 1, 0, 3, 1, 3, 1, 4, 2, 2, 4, 4, 3, 4, 3, 4, 0, 3, 2, 0, 4, 1, 2, 2, 3, 4, 1, 2, 0, 3, 3, 3, 2, 2, 0, 3, 0, 1, 4, 1, 1, 4, 3, 0, 2, 1, 1, 4, 2, 3, 2, 0, 0, 2, 2, 1, 4, 1, 2, 0, 0, 2, 3, 2, 1, 0, 4, 3, 0, 1, 0, 3, 0, 1, 3, 3, 4, 1, 4, 3, 3, 2, 3, 0, 1, 4, 4, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 3, 0, 4, 3, 4, 2, 0, 4, 0, 3, 4, 4, 2, 1, 0, 4, 1, 1, 4, 3, 3, 1, 0, 3, 3, 3, 4, 0, 1, 0, 0, 4, 2, 2, 0, 0, 4, 3, 4, 1, 3, 3, 2, 2, 1, 1, 1, 4, 3, 0, 3, 3, 4, 3, 2, 4, 3, 3, 3, 1, 4, 1, 1, 1, 1, 0, 3, 2, 3, 3, 0, 4, 4, 0, 1, 1, 4, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 4, 1, 1, 2, 1, 1, 4, 4, 3, 2, 0, 4, 3, 3, 4, 4, 3, 2, 1, 1, 1, 0, 3, 0, 1, 0, 3, 1, 2, 0, 3, 4, 0, 1, 2, 4, 3, 4, 0, 1, 1, 3, 0, 2, 3, 3, 4, 0, 4, 3, 1, 3, 3, 1, 3, 3, 1, 1, 3, 4, 4, 3, 1, 2, 3, 2, 1, 2, 3, 0, 2, 0, 3, 1, 3]
pubkeycol798 = [0, 3, 4, 1, 0, 1, 4, 4, 0, 4, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 1, 4, 2, 3, 3, 0, 3, 1, 4, 4, 0, 3, 3, 1, 3, 0, 2, 3, 2, 1, 0, 4, 3, 3, 1, 3, 2, 3, 2, 1, 0, 4, 4, 4, 2, 2, 1, 4, 0, 3, 0, 0, 0, 1, 2, 4, 1, 4, 1, 2, 3, 1, 3, 4, 0, 3, 4, 4, 3, 4, 4, 0, 0, 0, 2, 3, 3, 2, 1, 4, 0, 0, 3, 4, 2, 3, 1, 1, 1, 4, 1, 2, 3, 1, 1, 4, 3, 0, 0, 0, 0, 1, 4, 1, 2, 3, 1, 3, 4, 0, 1, 4, 3, 2, 3, 3, 2, 4, 4, 3, 3, 1, 3, 0, 0, 1, 3, 0, 0, 0, 2, 4, 3, 4, 2, 4, 3, 1, 2, 0, 4, 0, 3, 0, 3, 3, 4, 4, 2, 1, 2, 4, 3, 1, 0, 2, 2, 2, 0, 2, 4, 0, 4, 2, 2, 4, 0, 3, 2, 4, 2, 2, 4, 0, 3, 4, 4, 1, 0, 3, 0, 4, 3, 2, 0, 0, 2, 4, 0, 3, 2, 1, 3, 3, 4, 3, 3, 3, 3, 1, 1, 0, 2, 4, 4, 1, 2, 2, 4, 2, 1, 3, 4, 3, 0, 1, 1, 2, 3, 3, 2, 2, 4, 0, 2, 3, 2, 2, 4, 4, 2, 1, 1, 4, 3, 3, 0, 1, 2, 3, 0, 3, 1, 3, 0, 1, 3, 1, 4, 3, 0, 2, 2, 0, 4, 3, 2, 2, 1, 4, 4, 2, 1, 3, 3, 2, 2, 4, 3, 2, 1, 1, 0, 3, 3, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 3, 2, 1, 2, 2, 3, 1, 4, 2, 1, 3, 3, 2, 0, 2, 2, 4, 0, 4, 1, 0, 3, 1, 4]
pubkeycol799 = [0, 3, 2, 4, 3, 3, 4, 2, 0, 4, 3, 1, 0, 3, 1, 3, 2, 1, 4, 4, 3, 3, 4, 2, 1, 4, 4, 1, 0, 3, 2, 1, 0, 1, 3, 4, 4, 1, 3, 4, 1, 4, 1, 1, 2, 1, 1, 4, 1, 0, 1, 3, 0, 3, 4, 0, 3, 4, 0, 1, 4, 2, 1, 3, 4, 0, 4, 0, 2, 1, 4, 2, 2, 4, 3, 0, 4, 0, 0, 2, 0, 4, 3, 3, 0, 3, 4, 1, 4, 0, 2, 0, 3, 0, 0, 0, 2, 4, 0, 2, 3, 3, 2, 3, 4, 3, 2, 0, 0, 4, 4, 3, 0, 0, 4, 0, 0, 3, 0, 3, 4, 0, 2, 3, 0, 4, 4, 2, 1, 0, 2, 0, 3, 1, 4, 0, 4, 4, 4, 4, 3, 0, 4, 0, 1, 0, 1, 2, 2, 3, 3, 2, 0, 3, 3, 4, 3, 0, 4, 4, 2, 0, 2, 2, 1, 1, 4, 3, 3, 2, 2, 2, 4, 2, 1, 4, 0, 4, 2, 1, 0, 0, 0, 3, 2, 1, 1, 4, 1, 0, 3, 2, 4, 2, 1, 4, 2, 3, 0, 1, 4, 4, 0, 1, 1, 3, 0, 2, 3, 2, 0, 1, 2, 4, 3, 1, 1, 3, 1, 1, 1, 4, 1, 4, 3, 3, 3, 3, 0, 0, 1, 0, 3, 1, 1, 4, 1, 0, 2, 0, 0, 2, 0, 2, 1, 4, 3, 1, 0, 2, 0, 2, 1, 1, 2, 2, 3, 1, 3, 4, 2, 1, 2, 4, 3, 1, 0, 2, 2, 3, 4, 0, 2, 4, 3, 2, 1, 1, 2, 3, 2, 3, 1, 3, 0, 2, 0, 3, 0, 3, 3, 3, 2, 1, 4, 0, 0, 0, 1, 2, 1, 0, 2, 3, 3, 2, 0, 3, 4, 3, 1, 4, 0, 1, 4, 1, 0, 4, 0, 3]
pubkeycol800 = [2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 4, 2, 1, 4, 2, 0, 0, 3, 1, 2, 4, 3, 3, 2, 4, 1, 1, 4, 3, 3, 2, 2, 2, 0, 2, 3, 0, 0, 3, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 3, 2, 1, 4, 3, 3, 1, 3, 0, 1, 0, 0, 3, 1, 1, 1, 2, 2, 1, 1, 0, 2, 4, 0, 2, 0, 3, 3, 0, 4, 4, 0, 2, 1, 2, 2, 3, 3, 0, 0, 4, 4, 2, 4, 4, 3, 2, 4, 0, 2, 3, 2, 4, 4, 3, 4, 4, 0, 1, 0, 0, 0, 2, 4, 1, 4, 2, 4, 0, 1, 2, 0, 4, 3, 2, 0, 1, 0, 4, 3, 0, 3, 0, 2, 4, 3, 3, 0, 3, 0, 4, 4, 4, 0, 0, 0, 3, 3, 3, 2, 0, 2, 1, 2, 3, 1, 3, 1, 1, 4, 4, 2, 3, 1, 2, 2, 0, 0, 2, 2, 4, 0, 4, 2, 1, 4, 4, 2, 3, 4, 3, 4, 0, 4, 1, 0, 1, 0, 3, 1, 3, 4, 3, 1, 0, 0, 2, 3, 4, 2, 3, 4, 2, 2, 2, 2, 3, 2, 4, 4, 2, 1, 3, 2, 3, 3, 1, 1, 0, 4, 0, 4, 4, 4, 3, 1, 2, 1, 0, 3, 3, 0, 3, 3, 1, 1, 0, 0, 2, 4, 2, 0, 3, 0, 4, 3, 3, 0, 4, 3, 2, 3, 4, 4, 3, 4, 0, 0, 2, 4, 0, 2, 3, 0, 2, 4, 3, 2, 3, 0, 3, 0, 1, 1, 4, 4, 3, 1, 2, 1, 0, 4, 0, 4, 4, 2, 1, 3, 4, 0, 2, 0, 4, 0, 2, 2, 3, 2, 3, 2, 2, 1, 3, 3, 2, 0, 4, 0, 0, 0, 0, 0, 2, 3, 0, 2, 2, 1, 4]
pubkeycol801 = [1, 4, 2, 2, 3, 4, 2, 0, 1, 1, 2, 3, 4, 2, 2, 3, 0, 1, 3, 4, 1, 0, 2, 4, 2, 2, 3, 3, 4, 3, 2, 2, 4, 4, 0, 0, 2, 4, 1, 3, 3, 3, 1, 3, 2, 2, 3, 2, 3, 3, 2, 1, 4, 4, 1, 3, 2, 3, 2, 3, 4, 1, 0, 3, 0, 1, 4, 3, 2, 2, 1, 2, 3, 4, 0, 3, 4, 0, 1, 0, 2, 0, 1, 0, 1, 3, 4, 0, 4, 3, 3, 4, 4, 2, 1, 1, 1, 0, 1, 1, 4, 4, 2, 1, 3, 4, 0, 4, 1, 3, 0, 0, 1, 0, 2, 4, 2, 1, 1, 1, 3, 4, 0, 2, 3, 3, 1, 3, 3, 1, 1, 2, 2, 0, 3, 3, 1, 1, 4, 4, 4, 2, 2, 4, 3, 0, 1, 1, 1, 4, 1, 0, 1, 0, 3, 3, 1, 2, 3, 3, 2, 0, 2, 1, 3, 1, 3, 0, 1, 0, 0, 3, 4, 0, 2, 2, 3, 3, 1, 3, 2, 4, 2, 0, 3, 4, 2, 0, 4, 2, 0, 4, 4, 3, 2, 3, 1, 1, 2, 3, 3, 2, 4, 0, 3, 0, 1, 4, 0, 1, 3, 3, 2, 0, 0, 2, 0, 0, 0, 1, 1, 4, 4, 4, 2, 4, 0, 4, 2, 0, 3, 4, 2, 2, 2, 0, 0, 3, 4, 1, 1, 1, 2, 2, 3, 3, 1, 0, 2, 3, 4, 1, 4, 0, 1, 1, 2, 3, 2, 0, 0, 4, 0, 2, 3, 4, 0, 3, 2, 2, 3, 1, 2, 0, 3, 3, 1, 0, 0, 3, 0, 4, 0, 2, 3, 3, 4, 3, 3, 0, 0, 4, 3, 0, 2, 4, 2, 4, 3, 2, 1, 2, 0, 1, 3, 2, 3, 4, 3, 1, 2, 0, 1, 0, 3, 1, 0, 3, 3, 1]
pubkeycol802 = [2, 1, 1, 0, 1, 1, 1, 3, 2, 4, 3, 0, 1, 0, 1, 2, 2, 2, 3, 1, 2, 3, 0, 4, 2, 0, 4, 4, 1, 3, 1, 2, 3, 4, 0, 3, 1, 2, 1, 2, 0, 1, 0, 3, 0, 0, 0, 0, 3, 2, 3, 0, 2, 1, 4, 1, 1, 4, 4, 1, 2, 4, 2, 2, 3, 3, 1, 0, 3, 0, 0, 1, 4, 1, 4, 1, 0, 1, 1, 2, 3, 4, 3, 0, 0, 0, 3, 4, 2, 4, 3, 1, 4, 0, 2, 0, 2, 0, 1, 2, 2, 4, 0, 4, 4, 0, 2, 2, 0, 4, 2, 0, 3, 2, 4, 0, 3, 4, 3, 3, 4, 3, 0, 1, 3, 0, 4, 2, 4, 1, 3, 4, 1, 4, 3, 1, 4, 0, 1, 4, 2, 4, 0, 4, 2, 3, 0, 4, 2, 2, 0, 2, 1, 2, 3, 2, 2, 0, 1, 2, 4, 2, 4, 3, 4, 3, 0, 0, 0, 3, 2, 4, 3, 0, 4, 1, 4, 1, 2, 1, 2, 3, 1, 2, 2, 2, 0, 2, 0, 4, 2, 0, 1, 1, 0, 4, 4, 1, 1, 0, 4, 0, 4, 0, 2, 4, 1, 3, 0, 2, 4, 0, 0, 1, 3, 1, 4, 1, 2, 1, 2, 2, 3, 1, 0, 0, 3, 2, 0, 3, 1, 3, 1, 0, 0, 1, 3, 4, 1, 3, 3, 0, 2, 0, 4, 3, 2, 0, 0, 1, 4, 2, 1, 3, 4, 4, 2, 1, 0, 4, 1, 1, 4, 3, 3, 0, 0, 3, 3, 1, 0, 2, 1, 4, 0, 2, 0, 0, 2, 0, 1, 2, 4, 2, 1, 0, 3, 4, 1, 1, 0, 0, 0, 2, 4, 2, 0, 4, 4, 1, 2, 1, 0, 0, 3, 0, 4, 3, 1, 1, 0, 2, 1, 0, 0, 1, 0, 3, 0, 0]
pubkeycol803 = [3, 1, 4, 0, 3, 2, 2, 2, 3, 1, 3, 2, 3, 4, 2, 1, 3, 2, 0, 3, 4, 0, 1, 2, 4, 4, 2, 2, 0, 1, 2, 3, 4, 2, 3, 1, 0, 0, 3, 2, 3, 0, 3, 1, 2, 0, 3, 1, 3, 3, 4, 0, 1, 1, 2, 3, 1, 3, 2, 4, 1, 4, 1, 1, 0, 3, 3, 1, 3, 3, 0, 0, 3, 0, 0, 0, 1, 4, 3, 4, 4, 0, 0, 1, 0, 4, 0, 3, 1, 4, 3, 1, 4, 4, 2, 1, 0, 0, 1, 1, 0, 4, 4, 2, 0, 2, 1, 2, 4, 2, 4, 4, 1, 4, 3, 4, 2, 4, 1, 3, 0, 4, 0, 3, 2, 2, 2, 1, 2, 0, 3, 1, 1, 1, 1, 0, 2, 2, 3, 2, 4, 1, 3, 0, 4, 0, 3, 3, 3, 0, 1, 1, 3, 2, 3, 4, 4, 1, 2, 0, 2, 4, 2, 2, 1, 1, 0, 3, 0, 0, 0, 3, 2, 3, 4, 1, 2, 4, 4, 2, 2, 3, 2, 0, 4, 0, 4, 2, 1, 1, 3, 4, 2, 4, 3, 1, 0, 3, 3, 1, 3, 0, 4, 1, 0, 4, 3, 4, 1, 1, 3, 1, 3, 2, 0, 1, 4, 0, 1, 1, 0, 3, 2, 1, 0, 1, 4, 1, 3, 2, 0, 3, 3, 3, 2, 0, 4, 0, 1, 1, 3, 1, 1, 1, 4, 4, 0, 2, 0, 3, 3, 0, 2, 4, 0, 0, 0, 1, 2, 3, 1, 4, 4, 0, 3, 1, 0, 2, 3, 2, 1, 4, 1, 4, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 3, 3, 4, 3, 1, 4, 0, 2, 1, 2, 1, 4, 0, 2, 2, 2, 2, 3, 1, 2, 3, 2, 0, 4, 2, 4, 2, 3, 4, 0, 0, 3, 1, 2, 1]
pubkeycol804 = [4, 4, 0, 2, 0, 2, 3, 1, 1, 2, 0, 2, 2, 1, 4, 3, 0, 2, 4, 1, 4, 4, 3, 1, 1, 2, 4, 2, 4, 0, 4, 4, 4, 4, 2, 0, 4, 3, 0, 1, 1, 1, 0, 3, 4, 3, 1, 0, 4, 3, 4, 1, 1, 2, 0, 4, 2, 3, 4, 3, 0, 2, 1, 0, 2, 1, 1, 4, 3, 4, 1, 0, 2, 4, 2, 1, 0, 4, 2, 4, 2, 1, 4, 1, 0, 4, 3, 1, 1, 4, 0, 1, 4, 4, 0, 1, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 3, 2, 2, 2, 1, 4, 1, 1, 1, 0, 4, 2, 4, 4, 3, 1, 3, 4, 4, 1, 4, 4, 0, 0, 1, 1, 0, 3, 3, 2, 4, 2, 3, 2, 1, 4, 3, 2, 3, 2, 0, 1, 0, 0, 4, 0, 4, 0, 2, 2, 4, 1, 3, 1, 0, 3, 0, 0, 2, 2, 1, 1, 3, 3, 3, 0, 1, 3, 3, 3, 2, 1, 0, 4, 2, 3, 1, 4, 1, 0, 1, 3, 3, 3, 1, 3, 3, 4, 2, 2, 0, 4, 1, 4, 2, 4, 3, 4, 4, 3, 2, 1, 1, 0, 1, 2, 1, 4, 0, 1, 4, 0, 2, 2, 2, 3, 2, 4, 4, 1, 1, 3, 1, 3, 3, 4, 2, 4, 3, 3, 2, 4, 0, 2, 0, 1, 4, 2, 4, 0, 3, 1, 2, 4, 1, 0, 3, 3, 2, 2, 0, 4, 4, 2, 1, 1, 3, 3, 1, 1, 3, 4, 3, 0, 3, 3, 0, 3, 1, 1, 2, 1, 3, 2, 2, 4, 2, 0, 2, 2, 0, 1, 0, 4, 0, 4, 4, 4, 4, 4, 1, 4, 2, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 1, 2, 4, 0, 2, 1, 1, 2, 3, 2]
pubkeycol805 = [4, 3, 3, 1, 3, 2, 1, 1, 0, 1, 1, 2, 3, 0, 2, 1, 0, 1, 1, 3, 2, 3, 4, 3, 0, 1, 3, 3, 4, 2, 4, 3, 1, 0, 0, 2, 1, 1, 0, 4, 1, 2, 4, 1, 4, 2, 0, 1, 1, 3, 4, 1, 3, 1, 2, 4, 4, 1, 1, 4, 1, 3, 0, 2, 4, 0, 4, 4, 0, 3, 0, 4, 1, 2, 1, 4, 3, 0, 3, 2, 4, 1, 3, 3, 3, 0, 2, 1, 2, 1, 3, 2, 3, 2, 4, 4, 4, 2, 3, 1, 4, 3, 2, 2, 2, 0, 1, 4, 0, 4, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 3, 2, 0, 2, 0, 1, 0, 2, 0, 1, 3, 0, 4, 4, 1, 1, 1, 2, 2, 1, 1, 4, 2, 2, 2, 3, 1, 3, 1, 2, 2, 1, 2, 3, 0, 0, 4, 1, 4, 3, 3, 4, 1, 3, 4, 0, 4, 4, 2, 2, 1, 3, 2, 4, 3, 0, 4, 2, 4, 3, 1, 3, 2, 3, 1, 2, 1, 3, 0, 0, 1, 3, 2, 0, 3, 4, 0, 3, 2, 4, 4, 2, 0, 0, 0, 0, 4, 4, 3, 4, 1, 4, 0, 3, 0, 2, 1, 3, 0, 3, 2, 3, 1, 1, 2, 2, 1, 2, 4, 1, 3, 0, 4, 1, 1, 1, 1, 4, 2, 2, 1, 1, 4, 3, 4, 3, 1, 4, 4, 4, 1, 4, 1, 4, 2, 3, 3, 0, 1, 1, 4, 3, 3, 1, 3, 0, 0, 0, 1, 2, 1, 2, 3, 4, 0, 2, 1, 1, 4, 1, 2, 1, 0, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 2, 3, 3, 0, 1, 1, 4, 3, 4, 3, 2, 1, 3, 4, 2, 4, 3, 1, 0, 3, 2, 0, 3, 4, 0, 2]
pubkeycol806 = [1, 2, 2, 3, 0, 4, 4, 0, 0, 1, 4, 3, 0, 3, 1, 3, 4, 2, 0, 3, 1, 1, 0, 0, 0, 0, 1, 4, 3, 0, 3, 2, 3, 1, 0, 2, 3, 3, 0, 2, 3, 2, 1, 3, 2, 1, 2, 3, 1, 1, 3, 4, 2, 3, 0, 4, 2, 2, 4, 0, 2, 1, 1, 0, 3, 3, 2, 1, 0, 3, 3, 2, 4, 0, 4, 0, 2, 4, 2, 1, 1, 0, 3, 0, 0, 3, 1, 0, 3, 2, 0, 0, 1, 3, 2, 0, 3, 4, 0, 4, 3, 3, 2, 4, 3, 3, 0, 3, 1, 1, 0, 1, 4, 3, 3, 2, 0, 2, 1, 3, 1, 0, 0, 0, 2, 3, 2, 2, 1, 3, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 4, 3, 0, 0, 1, 4, 2, 4, 4, 0, 2, 2, 1, 2, 3, 2, 0, 0, 4, 4, 4, 2, 2, 0, 1, 1, 1, 0, 3, 4, 3, 0, 1, 0, 0, 2, 2, 4, 1, 0, 2, 4, 3, 3, 1, 4, 4, 4, 3, 1, 1, 3, 3, 3, 2, 4, 2, 0, 3, 4, 3, 4, 2, 3, 3, 0, 1, 2, 3, 4, 1, 4, 3, 4, 2, 1, 1, 0, 4, 1, 1, 3, 4, 0, 4, 0, 4, 2, 1, 4, 3, 2, 2, 3, 3, 3, 0, 2, 1, 2, 2, 0, 0, 4, 4, 1, 1, 0, 4, 3, 0, 1, 1, 3, 3, 1, 2, 2, 1, 4, 0, 3, 3, 3, 2, 4, 2, 4, 3, 1, 4, 1, 4, 2, 1, 2, 0, 1, 4, 2, 1, 3, 3, 4, 4, 4, 3, 1, 4, 3, 3, 2, 4, 0, 0, 3, 4, 3, 1, 3, 1, 0, 0, 3, 3, 2, 1, 3, 0, 1, 4, 2, 2, 2, 0, 3, 2, 4]
pubkeycol807 = [4, 0, 1, 0, 0, 2, 4, 3, 3, 0, 1, 3, 2, 1, 3, 3, 0, 1, 3, 2, 2, 2, 4, 0, 3, 1, 4, 4, 4, 1, 0, 3, 2, 1, 2, 2, 0, 0, 1, 3, 0, 4, 1, 1, 4, 2, 3, 1, 3, 3, 0, 1, 4, 0, 4, 4, 2, 2, 1, 3, 4, 3, 0, 1, 2, 3, 1, 4, 4, 0, 4, 4, 1, 1, 2, 3, 4, 0, 1, 4, 0, 4, 1, 1, 4, 0, 2, 4, 3, 3, 4, 0, 3, 1, 1, 4, 2, 1, 0, 1, 3, 3, 3, 1, 3, 1, 4, 0, 2, 3, 2, 1, 4, 0, 1, 2, 1, 3, 0, 1, 2, 2, 4, 1, 0, 0, 0, 0, 2, 1, 0, 4, 3, 3, 2, 4, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 3, 3, 0, 2, 0, 3, 2, 2, 2, 2, 0, 3, 2, 2, 3, 3, 2, 3, 1, 1, 4, 1, 3, 1, 2, 1, 0, 1, 3, 2, 2, 0, 2, 3, 3, 2, 1, 1, 0, 2, 2, 4, 2, 3, 0, 0, 1, 0, 0, 4, 0, 1, 4, 2, 2, 1, 0, 4, 4, 2, 3, 2, 0, 1, 1, 3, 2, 0, 2, 2, 4, 0, 0, 4, 1, 3, 4, 2, 2, 4, 4, 3, 2, 1, 4, 0, 4, 2, 3, 4, 1, 0, 3, 2, 4, 0, 1, 3, 0, 4, 4, 3, 3, 4, 3, 3, 2, 4, 0, 0, 1, 2, 0, 1, 3, 1, 2, 4, 0, 3, 2, 0, 0, 4, 3, 3, 1, 3, 1, 0, 4, 3, 0, 0, 2, 2, 1, 0, 1, 2, 4, 0, 1, 4, 1, 1, 4, 4, 4, 2, 3, 2, 4, 1, 0, 1, 2, 0, 2, 0, 4, 0, 4, 4, 1, 4, 4, 3, 3, 1, 3, 2]
pubkeycol808 = [1, 4, 0, 1, 1, 3, 2, 4, 2, 1, 1, 4, 1, 4, 2, 4, 3, 2, 3, 1, 1, 3, 0, 0, 0, 4, 3, 1, 2, 1, 2, 2, 3, 3, 1, 4, 3, 0, 3, 3, 1, 3, 1, 3, 0, 0, 0, 0, 1, 0, 2, 2, 2, 4, 3, 0, 1, 2, 2, 1, 1, 0, 2, 4, 3, 1, 3, 4, 4, 1, 2, 2, 1, 2, 0, 0, 1, 2, 3, 3, 4, 3, 4, 0, 4, 0, 4, 4, 0, 0, 1, 2, 2, 3, 0, 3, 1, 4, 1, 0, 3, 1, 0, 0, 0, 3, 3, 0, 4, 3, 3, 4, 2, 0, 3, 4, 2, 3, 0, 4, 3, 1, 1, 2, 0, 3, 3, 3, 4, 2, 3, 1, 1, 4, 0, 0, 1, 0, 4, 4, 3, 2, 3, 1, 4, 4, 2, 3, 0, 1, 3, 4, 4, 1, 0, 1, 4, 3, 4, 1, 1, 3, 3, 2, 4, 4, 2, 1, 4, 1, 2, 0, 2, 4, 1, 1, 4, 4, 0, 1, 2, 1, 1, 3, 0, 0, 1, 3, 2, 2, 1, 1, 1, 1, 3, 3, 0, 1, 2, 4, 1, 1, 3, 3, 3, 0, 0, 2, 0, 4, 4, 2, 0, 2, 0, 3, 2, 4, 3, 1, 3, 1, 1, 2, 4, 4, 1, 3, 4, 2, 3, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 4, 2, 0, 0, 4, 3, 0, 3, 0, 2, 0, 2, 0, 0, 3, 3, 1, 0, 3, 0, 2, 3, 4, 4, 4, 1, 4, 1, 3, 4, 0, 2, 1, 2, 3, 1, 1, 4, 2, 2, 3, 4, 0, 3, 4, 4, 4, 2, 2, 2, 2, 2, 0, 4, 4, 0, 1, 3, 3, 3, 1, 3, 1, 3, 0, 0, 1, 2, 0, 3, 3, 3, 3, 4, 3, 3, 2, 0, 3]
pubkeycol809 = [1, 4, 1, 4, 0, 1, 4, 2, 4, 2, 4, 1, 2, 2, 2, 1, 2, 0, 2, 3, 3, 0, 1, 0, 2, 3, 2, 1, 1, 1, 4, 1, 2, 2, 0, 0, 1, 3, 2, 2, 1, 4, 2, 4, 3, 4, 3, 2, 1, 3, 4, 4, 4, 4, 4, 4, 1, 3, 4, 3, 0, 3, 3, 0, 1, 2, 1, 1, 3, 3, 2, 3, 2, 1, 2, 1, 4, 2, 3, 0, 4, 1, 1, 0, 3, 0, 4, 2, 3, 1, 2, 3, 3, 2, 0, 4, 2, 0, 3, 0, 3, 4, 4, 2, 2, 0, 2, 3, 0, 4, 1, 0, 0, 4, 2, 4, 1, 0, 0, 2, 4, 3, 1, 2, 3, 2, 2, 0, 0, 3, 4, 0, 4, 1, 4, 0, 4, 3, 1, 4, 1, 0, 1, 0, 2, 3, 0, 2, 4, 2, 0, 1, 2, 3, 2, 1, 4, 0, 2, 3, 3, 2, 3, 3, 4, 1, 0, 2, 3, 1, 3, 2, 1, 3, 2, 2, 3, 1, 4, 0, 4, 4, 3, 1, 4, 1, 3, 2, 3, 2, 1, 4, 0, 3, 4, 0, 2, 3, 4, 1, 3, 4, 2, 3, 4, 2, 2, 4, 3, 2, 0, 2, 2, 0, 4, 3, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 1, 3, 2, 1, 4, 4, 1, 0, 0, 4, 1, 1, 1, 1, 4, 4, 1, 3, 3, 2, 2, 2, 3, 2, 0, 1, 4, 4, 2, 0, 4, 0, 0, 4, 2, 4, 4, 3, 0, 0, 2, 2, 4, 0, 3, 3, 3, 4, 1, 2, 3, 1, 3, 1, 4, 0, 3, 3, 4, 3, 0, 4, 3, 2, 4, 0, 2, 4, 4, 1, 4, 4, 4, 3, 0, 0, 4, 2, 3, 2, 3, 2, 0, 0, 2]
pubkeycol810 = [4, 3, 0, 4, 1, 1, 4, 2, 1, 0, 4, 2, 3, 1, 2, 1, 2, 1, 0, 3, 4, 0, 3, 1, 0, 0, 2, 3, 0, 0, 4, 3, 3, 0, 2, 3, 2, 2, 4, 0, 1, 0, 2, 3, 4, 2, 1, 3, 1, 4, 2, 3, 0, 3, 1, 1, 1, 1, 0, 0, 1, 1, 3, 0, 0, 1, 1, 3, 4, 4, 4, 1, 1, 1, 1, 0, 1, 2, 4, 3, 0, 2, 4, 4, 3, 1, 1, 4, 3, 1, 0, 2, 2, 4, 1, 3, 2, 4, 4, 2, 3, 1, 1, 3, 4, 2, 2, 3, 4, 2, 2, 2, 1, 0, 1, 0, 2, 1, 4, 3, 2, 0, 0, 1, 0, 0, 2, 4, 1, 1, 3, 0, 1, 1, 0, 2, 2, 0, 4, 0, 2, 2, 4, 1, 1, 1, 0, 4, 2, 0, 2, 4, 0, 0, 1, 2, 2, 0, 2, 4, 0, 2, 1, 4, 4, 2, 3, 1, 2, 2, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 0, 3, 2, 4, 1, 3, 1, 3, 0, 3, 3, 4, 0, 3, 0, 4, 4, 1, 1, 3, 3, 4, 2, 1, 0, 2, 3, 2, 0, 3, 3, 4, 2, 1, 1, 1, 4, 4, 3, 0, 2, 2, 2, 3, 3, 4, 2, 0, 4, 2, 3, 4, 1, 0, 0, 4, 4, 0, 0, 4, 4, 2, 3, 4, 0, 1, 2, 3, 4, 0, 2, 2, 4, 0, 3, 0, 1, 0, 1, 0, 4, 0, 0, 3, 1, 0, 2, 2, 1, 2, 1, 2, 4, 0, 3, 2, 0, 3, 0, 3, 1, 3, 4, 4, 3, 1, 2, 2, 0, 2, 1, 3, 3, 3, 4, 4, 2, 3, 3, 0, 4, 3, 2, 0, 4, 0, 4, 1, 2, 2, 0, 2, 1, 0, 3, 0, 1, 4, 3, 3]
pubkeycol811 = [4, 2, 2, 2, 0, 3, 4, 4, 1, 4, 1, 0, 0, 1, 4, 0, 3, 2, 3, 4, 3, 1, 1, 3, 0, 3, 2, 0, 3, 2, 3, 3, 4, 0, 3, 0, 2, 2, 0, 4, 1, 1, 0, 0, 1, 1, 0, 3, 1, 2, 1, 1, 4, 2, 4, 1, 3, 0, 3, 1, 1, 1, 4, 2, 0, 4, 2, 3, 4, 0, 4, 4, 0, 3, 0, 0, 2, 1, 3, 1, 4, 2, 2, 2, 4, 4, 1, 3, 4, 2, 2, 3, 1, 2, 2, 3, 0, 4, 3, 0, 2, 1, 0, 1, 2, 0, 1, 0, 3, 3, 1, 1, 2, 0, 4, 2, 2, 2, 2, 1, 1, 4, 0, 0, 0, 3, 4, 0, 3, 0, 0, 4, 0, 2, 1, 3, 2, 0, 1, 0, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 0, 2, 1, 2, 2, 0, 1, 3, 4, 1, 1, 0, 3, 2, 1, 1, 4, 4, 2, 3, 4, 4, 1, 1, 4, 3, 0, 1, 0, 2, 4, 0, 1, 0, 2, 0, 3, 4, 0, 4, 1, 1, 0, 3, 0, 0, 3, 4, 3, 4, 0, 3, 1, 2, 2, 4, 4, 0, 3, 4, 0, 2, 0, 0, 4, 1, 1, 4, 2, 4, 4, 0, 2, 3, 4, 4, 0, 1, 2, 4, 2, 0, 1, 4, 2, 1, 2, 4, 2, 0, 3, 2, 3, 1, 3, 0, 2, 0, 3, 2, 1, 4, 3, 0, 4, 2, 4, 1, 1, 4, 3, 1, 2, 4, 3, 2, 0, 0, 4, 2, 1, 3, 4, 3, 1, 3, 1, 0, 2, 2, 2, 4, 2, 0, 0, 4, 4, 4, 1, 4, 3, 2, 0, 3, 3, 1, 1, 1, 2, 0, 4, 0, 4, 0, 0, 4, 4, 4, 2, 0, 2, 4, 4, 0, 3, 0, 0]
pubkeycol812 = [2, 4, 4, 0, 2, 3, 2, 4, 2, 2, 2, 3, 1, 1, 4, 3, 0, 1, 1, 4, 1, 3, 3, 0, 4, 1, 3, 2, 2, 4, 1, 1, 2, 0, 3, 1, 2, 4, 2, 4, 3, 3, 1, 2, 0, 4, 2, 4, 1, 1, 3, 1, 1, 1, 4, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 3, 1, 0, 2, 0, 3, 3, 2, 4, 3, 3, 2, 4, 4, 1, 1, 2, 2, 2, 1, 3, 0, 1, 0, 0, 1, 1, 1, 3, 1, 3, 0, 2, 2, 1, 2, 3, 2, 4, 4, 4, 4, 1, 3, 2, 2, 4, 1, 4, 2, 0, 4, 0, 1, 3, 2, 2, 4, 1, 2, 2, 3, 0, 2, 2, 0, 2, 4, 2, 0, 0, 2, 3, 3, 0, 0, 3, 4, 2, 2, 2, 1, 1, 1, 4, 1, 4, 2, 2, 1, 2, 1, 2, 0, 0, 3, 3, 2, 0, 0, 2, 3, 3, 1, 4, 0, 3, 3, 0, 0, 0, 1, 1, 4, 2, 4, 2, 4, 4, 2, 4, 1, 2, 3, 2, 4, 4, 0, 2, 2, 4, 0, 2, 0, 4, 0, 0, 3, 4, 1, 4, 3, 0, 4, 0, 0, 0, 3, 3, 0, 1, 1, 0, 3, 2, 1, 3, 4, 4, 3, 2, 4, 4, 0, 4, 0, 4, 1, 4, 4, 0, 4, 2, 1, 0, 2, 2, 3, 2, 3, 3, 0, 4, 2, 1, 4, 2, 4, 4, 0, 3, 1, 3, 3, 0, 4, 2, 4, 4, 1, 4, 0, 4, 1, 3, 1, 2, 4, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 3, 2, 3, 3, 3, 3, 0, 1, 0, 3, 4, 1, 2, 0, 1, 1, 4, 1, 1, 0, 0, 4, 3, 1, 3, 4, 1, 2, 1, 0, 2, 0, 1]
pubkeycol813 = [3, 0, 3, 2, 0, 3, 3, 1, 4, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 3, 3, 1, 1, 2, 0, 2, 0, 3, 3, 0, 3, 1, 2, 4, 0, 2, 2, 4, 4, 4, 0, 3, 2, 4, 2, 0, 4, 1, 3, 2, 0, 1, 0, 4, 0, 2, 2, 2, 3, 4, 0, 1, 1, 1, 4, 2, 0, 3, 2, 0, 3, 1, 2, 0, 4, 4, 4, 2, 2, 1, 2, 0, 1, 1, 3, 2, 1, 4, 1, 3, 3, 1, 2, 3, 4, 0, 0, 2, 1, 2, 1, 4, 2, 4, 1, 0, 3, 1, 3, 0, 1, 4, 0, 1, 4, 3, 1, 0, 1, 3, 1, 4, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 3, 0, 2, 1, 0, 3, 2, 1, 3, 1, 3, 0, 4, 2, 3, 3, 3, 0, 0, 2, 1, 3, 0, 2, 4, 3, 1, 2, 0, 1, 2, 0, 4, 0, 4, 0, 1, 0, 0, 0, 0, 4, 0, 0, 3, 1, 3, 2, 2, 3, 4, 1, 1, 1, 0, 0, 1, 1, 3, 2, 0, 3, 1, 0, 4, 1, 2, 2, 0, 1, 0, 0, 2, 2, 3, 3, 4, 3, 2, 2, 4, 4, 1, 3, 4, 3, 1, 2, 1, 1, 0, 1, 4, 1, 3, 0, 4, 1, 0, 1, 2, 0, 2, 2, 1, 1, 4, 0, 4, 3, 0, 2, 1, 4, 3, 4, 1, 4, 4, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 3, 4, 4, 3, 4, 3, 0, 3, 2, 4, 3, 4, 1, 1, 1, 2, 1, 4, 1, 0, 1, 0, 4, 0, 2, 4, 2, 0, 2, 4, 2, 0, 1, 1, 3, 4, 0, 2, 1, 2, 3, 3, 3, 4, 4, 4, 2, 0, 4, 1, 4, 1, 4, 0, 0, 3, 4, 0]
pubkeycol814 = [1, 3, 1, 4, 3, 4, 2, 2, 2, 4, 3, 3, 0, 4, 0, 0, 1, 4, 0, 4, 0, 3, 2, 3, 2, 2, 0, 0, 3, 0, 2, 1, 3, 3, 4, 3, 3, 0, 1, 3, 0, 1, 1, 3, 1, 4, 1, 4, 2, 2, 4, 3, 3, 1, 3, 3, 1, 1, 1, 0, 1, 4, 1, 3, 1, 3, 4, 1, 4, 4, 3, 3, 0, 0, 0, 1, 3, 0, 2, 2, 4, 1, 2, 0, 0, 0, 0, 0, 2, 4, 0, 3, 0, 3, 3, 2, 3, 0, 3, 2, 4, 2, 3, 3, 3, 4, 4, 4, 1, 0, 3, 4, 1, 4, 4, 3, 1, 1, 3, 0, 4, 4, 4, 3, 2, 2, 0, 3, 0, 0, 3, 0, 2, 4, 1, 4, 0, 3, 4, 4, 4, 2, 2, 2, 3, 3, 2, 1, 4, 2, 1, 0, 1, 4, 4, 2, 1, 3, 3, 3, 2, 2, 3, 3, 1, 2, 1, 2, 0, 4, 4, 1, 4, 1, 2, 2, 0, 3, 1, 2, 0, 0, 4, 2, 1, 0, 4, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 3, 4, 4, 2, 0, 0, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 4, 0, 3, 1, 2, 2, 4, 2, 0, 4, 1, 0, 0, 2, 4, 4, 4, 1, 4, 2, 3, 4, 3, 2, 0, 0, 0, 0, 3, 2, 2, 0, 2, 1, 4, 0, 1, 4, 4, 0, 0, 3, 3, 3, 1, 3, 3, 1, 1, 1, 0, 2, 0, 0, 3, 4, 3, 2, 1, 4, 3, 4, 4, 2, 3, 2, 1, 3, 2, 3, 1, 0, 2, 3, 0, 2, 3, 4, 0, 0, 0, 2, 2, 4, 2, 1, 2, 3, 0, 1, 1, 0, 4, 4, 1, 3, 4, 4, 3, 1, 4, 0, 1, 2, 3, 1]
pubkeycol815 = [2, 4, 4, 4, 0, 1, 2, 1, 0, 0, 1, 4, 3, 3, 1, 4, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 2, 1, 0, 4, 2, 1, 2, 4, 1, 2, 2, 0, 2, 3, 3, 3, 1, 2, 2, 1, 3, 2, 1, 0, 3, 1, 3, 3, 0, 1, 3, 1, 0, 4, 0, 4, 2, 0, 4, 2, 3, 0, 3, 4, 3, 2, 3, 1, 4, 2, 3, 4, 3, 0, 1, 2, 2, 0, 1, 2, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 3, 2, 1, 1, 4, 4, 0, 0, 1, 2, 3, 2, 3, 1, 4, 2, 2, 0, 0, 3, 0, 3, 0, 1, 4, 2, 1, 1, 1, 0, 4, 0, 1, 3, 2, 1, 3, 4, 0, 0, 0, 2, 4, 3, 2, 1, 0, 2, 0, 3, 4, 2, 4, 1, 3, 4, 2, 2, 0, 3, 2, 3, 0, 1, 1, 4, 2, 4, 2, 4, 3, 3, 4, 4, 2, 1, 4, 2, 0, 4, 0, 0, 2, 4, 4, 1, 0, 2, 0, 2, 4, 0, 0, 4, 0, 2, 2, 4, 3, 0, 0, 0, 1, 2, 4, 0, 1, 2, 0, 4, 2, 0, 4, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 3, 0, 4, 2, 2, 1, 2, 0, 3, 0, 0, 3, 1, 4, 3, 0, 1, 2, 0, 0, 4, 1, 3, 4, 3, 0, 1, 3, 0, 1, 1, 0, 3, 3, 0, 1, 0, 0, 3, 3, 3, 0, 4, 1, 2, 2, 4, 4, 1, 3, 2, 4, 0, 2, 2, 4, 0, 3, 2, 1, 4, 3, 2, 3, 0, 4, 0, 2, 3, 1, 0, 2, 2, 3, 1, 3, 0, 0, 2, 1, 2, 3, 4, 3, 1, 2, 4, 1, 1, 1, 1, 1, 3]
pubkeycol816 = [0, 1, 4, 4, 2, 0, 4, 0, 0, 3, 0, 2, 2, 2, 0, 4, 1, 4, 3, 4, 0, 1, 1, 3, 0, 2, 1, 0, 2, 3, 2, 4, 1, 2, 4, 0, 1, 1, 3, 0, 4, 2, 2, 1, 1, 4, 4, 1, 4, 2, 2, 2, 1, 0, 4, 1, 3, 0, 1, 0, 4, 1, 2, 3, 0, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 1, 2, 0, 4, 4, 0, 0, 1, 0, 4, 1, 4, 3, 4, 3, 3, 0, 2, 0, 2, 2, 2, 4, 0, 2, 4, 4, 0, 3, 3, 2, 1, 1, 3, 4, 3, 1, 2, 3, 0, 1, 0, 2, 2, 0, 1, 3, 1, 2, 2, 1, 1, 4, 1, 1, 3, 0, 0, 0, 0, 2, 4, 4, 3, 1, 2, 4, 0, 4, 1, 1, 1, 3, 0, 0, 2, 3, 3, 3, 2, 1, 0, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 0, 1, 2, 1, 1, 4, 1, 3, 1, 0, 0, 4, 2, 2, 0, 3, 2, 3, 4, 4, 4, 1, 0, 4, 3, 2, 4, 0, 4, 0, 2, 0, 0, 1, 2, 1, 0, 0, 4, 2, 2, 4, 4, 4, 0, 4, 3, 2, 3, 4, 2, 3, 1, 3, 3, 1, 3, 0, 1, 4, 4, 0, 3, 1, 4, 3, 0, 4, 1, 1, 3, 1, 3, 0, 1, 3, 1, 0, 1, 1, 2, 4, 3, 3, 2, 3, 1, 3, 1, 4, 3, 1, 4, 4, 0, 4, 0, 0, 2, 4, 4, 0, 3, 2, 0, 2, 0, 2, 4, 0, 4, 0, 3, 0, 2, 0, 4, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 3, 1, 1, 3, 4, 2, 4, 4, 4, 4, 4, 3, 0, 4, 3, 1, 0]
pubkeycol817 = [0, 1, 0, 4, 3, 1, 1, 4, 3, 1, 3, 0, 2, 3, 1, 1, 3, 2, 4, 1, 0, 1, 4, 1, 4, 1, 2, 1, 1, 4, 4, 2, 4, 4, 1, 3, 1, 2, 4, 3, 2, 0, 0, 4, 0, 1, 4, 4, 0, 0, 2, 3, 0, 2, 0, 4, 4, 1, 0, 2, 0, 3, 4, 3, 4, 4, 1, 2, 4, 2, 1, 1, 2, 0, 0, 4, 2, 1, 4, 3, 3, 1, 0, 1, 2, 2, 1, 3, 2, 2, 0, 2, 3, 2, 4, 3, 3, 4, 3, 0, 3, 2, 3, 2, 3, 0, 2, 0, 1, 3, 0, 0, 3, 0, 1, 3, 4, 2, 4, 0, 0, 4, 0, 1, 1, 2, 0, 0, 2, 4, 4, 4, 0, 1, 0, 1, 3, 0, 1, 0, 0, 3, 3, 4, 0, 0, 4, 2, 3, 1, 1, 1, 3, 2, 2, 0, 3, 2, 1, 2, 0, 4, 3, 4, 0, 1, 3, 2, 0, 1, 1, 4, 4, 1, 1, 4, 1, 2, 0, 3, 0, 0, 0, 0, 4, 0, 3, 0, 3, 3, 3, 2, 3, 2, 1, 2, 2, 4, 3, 0, 4, 4, 4, 1, 3, 4, 0, 2, 3, 0, 3, 3, 3, 1, 4, 3, 4, 3, 2, 1, 0, 1, 3, 1, 0, 2, 0, 0, 2, 4, 2, 4, 2, 0, 1, 0, 3, 3, 1, 2, 0, 1, 3, 1, 4, 4, 2, 4, 1, 2, 2, 3, 2, 4, 1, 2, 2, 2, 0, 4, 1, 4, 0, 1, 1, 4, 0, 1, 3, 0, 3, 0, 2, 3, 2, 4, 0, 1, 3, 2, 3, 4, 0, 0, 1, 4, 3, 3, 1, 3, 4, 1, 0, 4, 3, 3, 2, 2, 1, 0, 3, 0, 1, 0, 4, 2, 2, 4, 0, 3, 3, 4, 2, 3, 2, 0, 3, 3, 4, 3]
pubkeycol818 = [2, 2, 3, 1, 1, 2, 1, 2, 0, 1, 3, 3, 2, 4, 4, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 3, 4, 0, 2, 1, 4, 1, 0, 2, 2, 3, 2, 2, 3, 0, 2, 2, 0, 0, 2, 4, 1, 4, 0, 1, 4, 1, 3, 4, 3, 0, 0, 2, 3, 1, 4, 2, 4, 2, 2, 3, 2, 4, 3, 4, 4, 4, 1, 3, 2, 3, 2, 4, 2, 2, 1, 2, 4, 3, 1, 0, 1, 4, 4, 0, 0, 3, 3, 3, 4, 2, 0, 4, 2, 2, 4, 2, 2, 1, 4, 0, 0, 0, 1, 4, 0, 3, 1, 0, 3, 0, 0, 2, 4, 0, 4, 1, 2, 3, 2, 3, 2, 1, 2, 1, 2, 1, 2, 3, 3, 4, 0, 4, 0, 1, 0, 2, 2, 0, 0, 4, 0, 1, 2, 0, 0, 1, 3, 4, 1, 2, 2, 2, 4, 4, 0, 4, 3, 1, 2, 4, 0, 4, 2, 1, 1, 1, 0, 3, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 3, 3, 2, 4, 2, 2, 4, 2, 2, 4, 4, 1, 1, 0, 3, 0, 4, 0, 0, 0, 1, 4, 0, 2, 1, 4, 3, 0, 3, 0, 3, 1, 3, 2, 2, 1, 2, 3, 3, 4, 0, 4, 3, 3, 1, 1, 2, 1, 1, 2, 1, 2, 4, 1, 1, 3, 4, 4, 1, 4, 2, 2, 1, 2, 3, 3, 3, 3, 4, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 3, 0, 2, 4, 3, 4, 4, 3, 1, 0, 2, 0, 0, 1, 2, 1, 1, 4, 2, 4, 3, 2, 3, 0, 1, 0, 3, 1, 2, 3, 4, 4, 1, 0, 3, 1, 4, 2, 0, 2, 2, 3, 2, 3, 2, 0, 0, 3, 2, 4, 1]
pubkeycol819 = [2, 2, 4, 1, 2, 1, 2, 0, 0, 4, 4, 2, 1, 0, 3, 2, 3, 3, 2, 2, 4, 0, 0, 0, 1, 4, 4, 4, 4, 0, 1, 4, 2, 4, 2, 1, 1, 4, 0, 3, 1, 0, 4, 1, 3, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 4, 2, 2, 2, 4, 3, 0, 3, 4, 3, 4, 1, 2, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 0, 2, 1, 2, 2, 0, 4, 4, 3, 2, 1, 2, 0, 4, 4, 2, 2, 4, 0, 0, 4, 3, 2, 2, 1, 2, 0, 4, 4, 0, 0, 1, 2, 0, 3, 3, 4, 2, 3, 3, 4, 2, 4, 4, 2, 4, 4, 0, 1, 4, 0, 4, 3, 3, 0, 3, 4, 0, 4, 1, 1, 3, 3, 3, 1, 4, 2, 1, 3, 4, 3, 1, 2, 2, 2, 1, 4, 2, 4, 3, 0, 2, 4, 3, 1, 3, 4, 4, 1, 0, 0, 0, 4, 3, 4, 3, 1, 3, 0, 1, 0, 2, 3, 2, 3, 1, 0, 3, 1, 4, 1, 1, 3, 1, 3, 4, 3, 3, 3, 4, 1, 3, 1, 0, 3, 4, 3, 2, 1, 2, 0, 3, 1, 3, 3, 3, 2, 4, 0, 0, 3, 0, 1, 3, 3, 1, 0, 3, 4, 2, 1, 3, 2, 3, 0, 0, 3, 2, 3, 3, 1, 4, 3, 0, 0, 1, 0, 1, 1, 1, 3, 0, 0, 2, 1, 1, 4, 4, 1, 1, 3, 3, 2, 3, 4, 0, 2, 4, 0, 3, 3, 2, 2, 0, 4, 3, 0, 4, 4, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 3, 0, 2, 1, 3, 0, 2, 1, 4, 0, 0, 1, 0, 4, 1, 2, 4, 2, 3, 0, 1, 3, 2, 0, 2, 4, 4, 1, 4, 3, 4]
pubkeycol820 = [2, 0, 4, 2, 2, 1, 0, 3, 4, 4, 2, 2, 4, 4, 0, 2, 3, 2, 0, 0, 2, 3, 4, 3, 0, 4, 0, 1, 2, 1, 0, 2, 2, 4, 4, 0, 4, 2, 2, 2, 1, 3, 3, 0, 1, 0, 3, 2, 4, 0, 0, 4, 4, 3, 4, 0, 1, 4, 3, 0, 4, 4, 3, 1, 2, 0, 0, 0, 2, 0, 1, 4, 1, 1, 3, 3, 4, 2, 2, 1, 1, 4, 0, 0, 1, 0, 0, 0, 4, 1, 2, 3, 3, 0, 2, 2, 4, 0, 1, 3, 1, 0, 2, 0, 0, 1, 4, 2, 4, 4, 3, 4, 0, 4, 0, 1, 2, 2, 3, 1, 2, 1, 0, 2, 4, 1, 2, 4, 2, 3, 2, 1, 2, 1, 1, 4, 0, 0, 1, 1, 0, 2, 0, 2, 1, 3, 4, 3, 2, 4, 4, 4, 4, 2, 2, 4, 1, 0, 0, 0, 3, 2, 4, 0, 2, 1, 3, 3, 4, 2, 1, 4, 1, 1, 3, 1, 3, 2, 3, 1, 4, 3, 1, 4, 4, 1, 3, 2, 3, 2, 2, 0, 3, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 4, 3, 2, 2, 0, 4, 0, 2, 2, 4, 3, 2, 0, 2, 1, 4, 2, 1, 3, 2, 4, 1, 1, 1, 1, 4, 2, 3, 2, 2, 4, 1, 1, 0, 4, 0, 0, 1, 1, 2, 4, 0, 2, 3, 2, 0, 2, 0, 3, 0, 0, 0, 2, 1, 1, 2, 0, 4, 3, 0, 3, 4, 1, 4, 2, 4, 0, 3, 2, 0, 1, 3, 0, 0, 3, 0, 1, 3, 0, 4, 0, 4, 0, 1, 0, 2, 1, 4, 4, 0, 3, 2, 1, 3, 2, 1, 0, 0, 4, 3, 0, 2, 2, 3, 3, 0, 4, 4, 3, 0, 3, 0, 2, 2, 0, 1]
pubkeycol821 = [3, 2, 0, 1, 2, 4, 1, 3, 1, 2, 1, 0, 3, 4, 1, 4, 3, 1, 1, 3, 3, 0, 3, 1, 1, 0, 3, 1, 0, 0, 2, 3, 3, 3, 2, 2, 3, 1, 1, 4, 0, 3, 1, 3, 2, 3, 0, 0, 3, 4, 3, 0, 2, 2, 2, 3, 4, 1, 1, 0, 1, 3, 3, 2, 1, 0, 3, 2, 0, 2, 2, 0, 4, 2, 1, 0, 3, 4, 1, 2, 3, 3, 2, 1, 1, 0, 3, 1, 3, 2, 3, 4, 4, 0, 4, 3, 4, 1, 4, 1, 3, 3, 3, 2, 2, 3, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 4, 2, 0, 0, 2, 0, 2, 1, 4, 0, 2, 3, 0, 4, 2, 3, 4, 4, 1, 4, 2, 2, 3, 1, 4, 0, 4, 1, 0, 2, 4, 1, 0, 4, 2, 4, 1, 4, 2, 0, 4, 0, 2, 1, 2, 1, 0, 1, 2, 2, 4, 2, 0, 4, 0, 1, 3, 4, 1, 1, 1, 4, 2, 0, 3, 1, 3, 1, 3, 2, 4, 1, 2, 4, 4, 1, 4, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 4, 0, 1, 1, 2, 2, 4, 0, 3, 1, 3, 1, 4, 2, 1, 1, 4, 3, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 4, 3, 0, 0, 4, 2, 3, 4, 4, 0, 4, 1, 3, 0, 0, 0, 2, 1, 4, 4, 3, 0, 4, 0, 1, 0, 4, 0, 4, 1, 0, 1, 0, 2, 0, 3, 3, 1, 3, 1, 0, 3, 0, 0, 4, 1, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 3, 3, 0, 3, 2, 2, 1, 3, 0, 1, 0, 2, 1, 0, 4, 1, 3, 1, 1, 2, 0, 4, 3, 1, 4]
pubkeycol822 = [3, 2, 2, 1, 4, 1, 0, 3, 2, 2, 0, 0, 3, 4, 2, 4, 4, 0, 1, 2, 0, 3, 4, 3, 3, 1, 0, 2, 1, 4, 2, 3, 4, 1, 1, 4, 3, 4, 0, 1, 1, 3, 1, 3, 1, 3, 4, 2, 1, 4, 2, 2, 1, 1, 0, 0, 4, 2, 2, 2, 4, 0, 2, 2, 0, 1, 3, 2, 4, 1, 0, 3, 1, 0, 1, 4, 1, 0, 4, 0, 2, 3, 0, 2, 1, 4, 1, 4, 3, 1, 4, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 4, 3, 2, 1, 4, 4, 2, 0, 3, 0, 0, 1, 1, 4, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 2, 2, 1, 0, 3, 4, 4, 1, 3, 1, 4, 2, 4, 2, 2, 0, 4, 4, 0, 0, 2, 0, 2, 1, 4, 3, 3, 1, 2, 3, 1, 3, 3, 2, 3, 2, 3, 4, 3, 4, 1, 0, 4, 4, 0, 0, 0, 4, 4, 0, 3, 3, 1, 4, 2, 3, 1, 2, 0, 3, 0, 2, 2, 1, 2, 4, 3, 0, 4, 3, 2, 3, 2, 0, 0, 4, 2, 3, 1, 2, 0, 2, 1, 0, 1, 4, 0, 0, 4, 3, 0, 1, 0, 1, 0, 4, 1, 2, 0, 0, 3, 2, 4, 2, 4, 3, 2, 4, 4, 3, 0, 4, 4, 4, 3, 1, 2, 2, 0, 0, 0, 2, 4, 1, 3, 2, 3, 1, 2, 2, 0, 1, 0, 2, 0, 0, 3, 3, 0, 4, 3, 2, 0, 4, 4, 3, 0, 2, 2, 2, 0, 4, 4, 3, 0, 2, 1, 0, 2, 1, 4, 2, 0, 4, 1, 1, 1, 0, 3, 0, 4, 1, 1, 1, 2, 1, 2, 0, 3, 4, 0, 2, 3, 1, 0, 4, 2, 3, 4]
pubkeycol823 = [0, 2, 4, 0, 2, 2, 4, 2, 3, 4, 3, 1, 3, 3, 4, 0, 4, 2, 1, 2, 4, 4, 1, 0, 3, 3, 2, 1, 3, 0, 0, 4, 1, 4, 2, 0, 4, 1, 4, 2, 4, 2, 4, 1, 1, 2, 0, 0, 2, 0, 4, 1, 2, 1, 4, 0, 3, 3, 4, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 4, 3, 3, 3, 4, 3, 0, 0, 2, 1, 3, 1, 0, 1, 4, 3, 0, 2, 2, 1, 2, 4, 2, 0, 1, 4, 2, 4, 2, 1, 1, 3, 3, 4, 3, 0, 2, 3, 2, 2, 4, 2, 4, 4, 1, 3, 2, 4, 0, 1, 1, 0, 0, 0, 3, 2, 0, 0, 3, 2, 1, 4, 2, 3, 4, 0, 4, 4, 3, 2, 0, 4, 2, 1, 0, 2, 2, 1, 0, 4, 4, 1, 4, 2, 2, 3, 2, 4, 2, 4, 1, 4, 3, 1, 0, 2, 0, 2, 4, 1, 0, 3, 0, 0, 4, 1, 2, 4, 0, 1, 0, 4, 4, 3, 2, 3, 3, 4, 4, 0, 4, 4, 1, 2, 3, 1, 4, 2, 2, 0, 4, 0, 1, 0, 1, 2, 3, 0, 4, 1, 0, 2, 1, 0, 0, 3, 3, 3, 0, 1, 1, 0, 3, 0, 4, 0, 0, 4, 3, 4, 3, 4, 1, 2, 4, 3, 1, 3, 1, 1, 4, 1, 2, 3, 3, 3, 4, 1, 1, 1, 0, 2, 0, 4, 4, 0, 1, 2, 0, 4, 1, 3, 3, 3, 1, 2, 1, 4, 4, 4, 3, 1, 0, 3, 2, 4, 3, 1, 2, 2, 2, 1, 1, 0, 2, 4, 0, 4, 3, 2, 3, 1, 1, 4, 2, 3, 1, 0, 3, 1, 2, 2, 4, 1, 1, 2, 3, 1, 1, 4, 2, 4, 4, 3, 0, 4, 0, 4, 4, 4, 1]
pubkeycol824 = [3, 3, 0, 1, 2, 4, 0, 3, 0, 4, 3, 4, 2, 0, 1, 1, 1, 4, 1, 3, 3, 4, 1, 0, 4, 0, 0, 0, 0, 3, 4, 3, 0, 1, 0, 1, 1, 1, 4, 3, 1, 1, 1, 4, 1, 2, 2, 2, 2, 3, 0, 1, 4, 2, 0, 0, 0, 1, 2, 4, 0, 0, 2, 0, 2, 2, 2, 4, 2, 2, 0, 1, 4, 1, 3, 1, 2, 1, 3, 4, 0, 1, 3, 4, 2, 3, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 4, 3, 0, 0, 4, 4, 4, 2, 4, 4, 0, 2, 0, 2, 1, 4, 0, 2, 2, 3, 2, 2, 4, 4, 2, 4, 1, 0, 1, 4, 3, 0, 3, 2, 1, 4, 2, 4, 0, 1, 4, 3, 2, 0, 1, 4, 0, 4, 0, 3, 4, 4, 1, 1, 2, 2, 4, 2, 1, 2, 3, 1, 3, 3, 2, 0, 4, 0, 2, 3, 2, 0, 3, 1, 1, 4, 4, 4, 2, 3, 4, 4, 4, 0, 3, 3, 2, 4, 2, 2, 0, 4, 2, 3, 4, 0, 4, 3, 4, 4, 3, 1, 2, 3, 0, 2, 1, 4, 0, 2, 1, 3, 3, 2, 3, 0, 1, 3, 2, 2, 4, 4, 1, 1, 0, 1, 0, 3, 4, 2, 0, 2, 0, 2, 2, 0, 1, 0, 3, 3, 0, 1, 4, 0, 3, 1, 1, 4, 3, 4, 0, 2, 3, 2, 1, 4, 2, 2, 2, 1, 3, 1, 4, 0, 3, 2, 3, 1, 4, 4, 3, 3, 1, 4, 4, 0, 1, 4, 2, 0, 4, 1, 4, 2, 0, 2, 0, 3, 4, 1, 0, 4, 0, 0, 4, 0, 4, 3, 2, 4, 2, 3, 2, 3, 3, 0, 2, 2, 3, 1, 0, 4, 1, 2, 2, 2, 0, 0, 3, 3, 1, 0]
pubkeycol825 = [2, 3, 4, 2, 3, 1, 1, 2, 0, 2, 2, 1, 0, 1, 3, 0, 4, 2, 1, 0, 2, 1, 2, 3, 3, 0, 3, 4, 0, 3, 4, 1, 3, 4, 3, 3, 1, 4, 1, 2, 3, 3, 4, 1, 4, 2, 2, 3, 1, 4, 2, 0, 0, 3, 3, 2, 1, 1, 0, 0, 0, 1, 4, 3, 3, 3, 2, 3, 4, 4, 3, 4, 1, 4, 4, 2, 4, 0, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 1, 4, 2, 1, 0, 4, 3, 2, 4, 4, 3, 4, 3, 1, 1, 3, 4, 4, 0, 3, 3, 2, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 4, 0, 2, 0, 3, 0, 3, 4, 0, 0, 2, 3, 3, 0, 1, 4, 2, 0, 0, 1, 1, 4, 4, 4, 4, 3, 2, 2, 0, 4, 3, 3, 3, 1, 3, 4, 0, 3, 3, 1, 3, 4, 2, 2, 0, 4, 0, 3, 4, 0, 0, 1, 4, 4, 2, 0, 0, 3, 1, 1, 4, 4, 4, 1, 0, 3, 3, 1, 2, 3, 1, 4, 3, 2, 3, 2, 0, 4, 0, 3, 4, 4, 1, 3, 2, 3, 3, 3, 0, 1, 1, 2, 4, 3, 0, 1, 0, 3, 3, 3, 3, 2, 3, 4, 0, 0, 2, 1, 3, 0, 0, 1, 3, 2, 3, 3, 3, 4, 1, 4, 3, 1, 2, 1, 3, 4, 2, 2, 1, 1, 3, 2, 1, 0, 1, 3, 3, 4, 1, 3, 2, 2, 0, 4, 4, 3, 0, 0, 0, 3, 4, 2, 3, 3, 3, 0, 4, 2, 3, 3, 0, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 2, 4, 3, 0, 1, 3, 3, 2, 2, 3, 4, 3, 4, 3, 4, 0, 1, 4, 3, 3, 2, 4, 0, 2, 4, 2, 2, 3, 2]
pubkeycol826 = [1, 2, 2, 0, 2, 0, 4, 4, 4, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 1, 1, 4, 4, 4, 2, 4, 3, 0, 4, 3, 3, 1, 4, 0, 1, 3, 2, 2, 4, 4, 0, 1, 3, 4, 0, 2, 0, 1, 3, 3, 0, 4, 2, 0, 4, 3, 3, 3, 2, 0, 3, 0, 1, 4, 2, 0, 2, 0, 3, 1, 1, 1, 4, 4, 2, 3, 4, 0, 2, 3, 0, 3, 3, 2, 4, 3, 4, 0, 4, 2, 2, 4, 3, 0, 2, 0, 2, 4, 0, 0, 0, 4, 1, 1, 0, 4, 1, 2, 2, 0, 4, 1, 1, 0, 0, 4, 0, 3, 4, 0, 0, 0, 2, 0, 2, 3, 0, 3, 3, 2, 2, 4, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 2, 2, 0, 4, 1, 2, 4, 0, 3, 0, 1, 1, 2, 3, 4, 2, 1, 4, 1, 3, 3, 1, 0, 2, 1, 2, 0, 1, 4, 0, 0, 3, 1, 3, 4, 0, 0, 0, 1, 4, 1, 3, 1, 4, 1, 4, 1, 3, 4, 1, 1, 1, 1, 3, 1, 4, 2, 3, 2, 3, 1, 4, 3, 1, 0, 3, 4, 0, 2, 0, 2, 1, 1, 3, 2, 3, 3, 3, 3, 3, 4, 0, 4, 2, 3, 3, 3, 3, 0, 4, 3, 3, 1, 1, 4, 1, 3, 1, 0, 0, 3, 3, 4, 0, 3, 2, 4, 3, 1, 3, 0, 3, 2, 1, 0, 3, 3, 1, 1, 3, 0, 0, 3, 2, 3, 3, 4, 1, 3, 1, 1, 0, 2, 1, 3, 1, 4, 1, 4, 2, 0, 4, 2, 2, 3, 4, 2, 4, 2, 1, 2, 0, 1, 4, 2, 4, 2, 2, 4, 1, 2, 0, 0, 1, 2, 3, 2, 3]
pubkeycol827 = [2, 0, 2, 2, 1, 3, 0, 0, 4, 1, 1, 0, 0, 3, 4, 3, 3, 0, 1, 1, 4, 1, 1, 0, 3, 0, 4, 2, 0, 3, 0, 1, 3, 2, 3, 0, 2, 0, 2, 3, 1, 3, 4, 1, 1, 1, 3, 1, 0, 1, 4, 3, 0, 2, 3, 0, 3, 0, 1, 4, 4, 3, 4, 2, 3, 2, 4, 3, 4, 0, 0, 0, 0, 4, 4, 2, 2, 0, 0, 4, 4, 3, 3, 1, 1, 1, 3, 4, 1, 1, 1, 3, 0, 4, 2, 2, 4, 3, 3, 1, 2, 2, 4, 2, 1, 1, 4, 0, 0, 0, 1, 4, 1, 4, 1, 0, 4, 2, 1, 3, 2, 4, 0, 2, 1, 1, 1, 4, 0, 2, 3, 4, 1, 0, 2, 0, 0, 2, 1, 1, 0, 4, 0, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 3, 4, 3, 2, 0, 0, 3, 1, 0, 2, 2, 3, 2, 2, 0, 0, 3, 1, 2, 3, 0, 0, 4, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 0, 1, 2, 1, 2, 0, 2, 0, 4, 3, 3, 2, 1, 2, 4, 0, 2, 3, 4, 1, 0, 1, 0, 0, 4, 0, 2, 3, 0, 1, 0, 4, 4, 3, 2, 1, 2, 4, 4, 4, 2, 1, 1, 2, 3, 3, 3, 0, 2, 1, 4, 1, 2, 3, 2, 1, 2, 4, 3, 0, 1, 0, 2, 3, 1, 3, 4, 0, 1, 3, 0, 0, 1, 1, 0, 3, 2, 2, 2, 0, 0, 0, 4, 4, 3, 0, 2, 4, 4, 4, 1, 3, 2, 2, 0, 4, 2, 2, 1, 2, 2, 3, 2, 0, 1, 1, 0, 1, 4, 0, 3, 1, 4, 0, 3, 0, 2, 3, 0, 3, 0, 4, 4, 4, 1, 2, 4, 2, 1, 4, 0, 1, 2]
pubkeycol828 = [3, 0, 0, 4, 0, 0, 2, 3, 2, 4, 4, 2, 3, 2, 2, 4, 1, 3, 0, 4, 3, 0, 1, 3, 2, 1, 1, 4, 3, 0, 3, 1, 3, 1, 4, 1, 1, 3, 2, 2, 0, 4, 2, 3, 1, 3, 2, 2, 1, 1, 0, 2, 0, 2, 4, 0, 4, 3, 4, 3, 4, 0, 3, 4, 0, 3, 1, 4, 3, 0, 3, 0, 4, 4, 1, 4, 1, 0, 2, 2, 1, 2, 2, 1, 4, 3, 4, 2, 4, 3, 1, 0, 3, 4, 2, 0, 1, 3, 1, 1, 4, 1, 3, 2, 3, 2, 3, 0, 1, 3, 0, 2, 4, 4, 1, 2, 1, 0, 3, 4, 3, 2, 4, 1, 2, 1, 1, 4, 1, 2, 3, 2, 0, 4, 4, 0, 0, 1, 4, 4, 1, 0, 1, 0, 1, 4, 1, 3, 2, 1, 3, 2, 2, 2, 0, 1, 4, 1, 0, 1, 1, 4, 0, 1, 3, 2, 2, 1, 4, 1, 2, 3, 0, 1, 2, 2, 0, 0, 0, 2, 2, 4, 4, 1, 4, 0, 0, 1, 0, 4, 0, 2, 0, 4, 4, 3, 3, 4, 3, 1, 0, 3, 4, 1, 4, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 0, 4, 2, 2, 0, 0, 1, 2, 0, 2, 1, 3, 2, 3, 2, 1, 1, 2, 2, 1, 2, 3, 3, 0, 4, 1, 4, 1, 1, 2, 3, 4, 0, 1, 1, 4, 3, 2, 1, 0, 3, 3, 3, 1, 0, 3, 0, 1, 1, 4, 1, 3, 1, 1, 4, 4, 2, 3, 3, 0, 2, 1, 0, 0, 2, 3, 2, 4, 3, 0, 0, 1, 3, 2, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 0, 4, 0, 1, 1, 3, 3, 1, 1, 3, 1, 4, 1, 3, 0, 2, 2, 2]
pubkeycol829 = [1, 3, 0, 3, 4, 1, 1, 3, 4, 0, 4, 0, 2, 4, 1, 3, 0, 2, 0, 3, 2, 0, 1, 0, 4, 4, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 4, 4, 3, 4, 2, 2, 0, 3, 4, 1, 0, 3, 1, 0, 4, 2, 3, 4, 1, 1, 0, 4, 2, 0, 3, 0, 2, 1, 1, 2, 4, 1, 3, 4, 0, 3, 1, 4, 1, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 4, 4, 0, 0, 0, 0, 1, 3, 0, 2, 4, 2, 4, 2, 2, 1, 1, 3, 3, 1, 4, 2, 0, 3, 2, 3, 4, 0, 3, 1, 1, 1, 1, 4, 2, 2, 4, 0, 0, 0, 4, 0, 2, 1, 3, 4, 4, 1, 1, 0, 0, 2, 2, 1, 3, 4, 4, 4, 3, 0, 2, 2, 0, 0, 2, 2, 4, 1, 2, 3, 1, 3, 4, 2, 2, 1, 4, 1, 3, 3, 1, 3, 3, 0, 0, 1, 3, 4, 2, 3, 0, 4, 0, 0, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 1, 0, 0, 2, 1, 2, 1, 0, 4, 3, 3, 3, 4, 1, 0, 2, 1, 1, 3, 0, 2, 4, 4, 0, 0, 3, 2, 4, 0, 2, 2, 0, 3, 1, 4, 4, 0, 4, 3, 1, 2, 0, 2, 0, 0, 3, 0, 2, 3, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 0, 1, 0, 1, 0, 0, 3, 2, 4, 4, 1, 2, 2, 4, 2, 1, 4, 4, 2, 3, 4, 1, 2, 3, 0, 4, 3, 0, 4, 3, 4, 4, 4, 0, 3, 2, 0, 3, 2, 3, 3, 4, 0, 3, 4, 1, 3, 1, 2, 1, 4, 3, 2, 3, 1, 1, 3, 0, 3, 2, 1, 1, 0, 1, 0, 0, 3, 3]
pubkeycol830 = [3, 2, 1, 3, 3, 4, 0, 1, 0, 0, 0, 1, 4, 0, 1, 4, 4, 0, 1, 0, 4, 1, 0, 2, 0, 1, 0, 0, 0, 1, 4, 4, 3, 1, 4, 4, 0, 0, 4, 1, 3, 3, 4, 0, 1, 4, 3, 1, 2, 3, 3, 0, 1, 0, 1, 1, 0, 4, 4, 2, 3, 2, 4, 4, 3, 1, 3, 2, 0, 4, 0, 2, 0, 4, 3, 2, 3, 2, 4, 3, 2, 4, 0, 4, 3, 2, 2, 4, 4, 3, 4, 1, 1, 2, 1, 4, 1, 1, 4, 1, 4, 0, 1, 0, 0, 0, 4, 3, 2, 3, 4, 0, 1, 2, 4, 3, 2, 4, 4, 0, 1, 4, 3, 1, 4, 4, 2, 4, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 2, 0, 2, 3, 3, 4, 0, 2, 1, 2, 1, 0, 4, 3, 3, 4, 0, 3, 0, 0, 2, 3, 1, 2, 4, 1, 2, 3, 3, 3, 2, 4, 1, 2, 2, 2, 1, 2, 3, 3, 1, 0, 3, 1, 2, 2, 0, 2, 0, 1, 4, 2, 0, 1, 3, 1, 1, 4, 2, 4, 1, 2, 2, 3, 0, 0, 0, 0, 0, 4, 0, 0, 1, 3, 1, 2, 2, 0, 1, 3, 2, 1, 3, 3, 3, 4, 2, 1, 4, 2, 4, 4, 2, 1, 0, 4, 1, 4, 2, 2, 3, 1, 2, 1, 1, 3, 4, 3, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 3, 0, 0, 4, 4, 3, 1, 2, 3, 2, 1, 2, 1, 3, 2, 4, 1, 3, 3, 1, 2, 0, 3, 2, 0, 0, 4, 2, 1, 4, 2, 1, 2, 2, 3, 1, 0, 2, 4, 3, 4, 2, 2, 4, 0, 3, 1, 3, 1, 0, 3, 0, 3, 3, 0, 1, 2, 1, 2]
pubkeycol831 = [3, 3, 4, 3, 2, 1, 1, 4, 4, 3, 4, 3, 2, 0, 1, 4, 1, 4, 0, 0, 0, 1, 1, 1, 0, 3, 2, 4, 1, 2, 4, 3, 3, 2, 4, 4, 2, 2, 3, 4, 3, 2, 2, 1, 4, 4, 0, 2, 2, 0, 3, 2, 4, 3, 2, 0, 1, 3, 4, 3, 2, 0, 2, 0, 0, 2, 3, 0, 0, 4, 3, 3, 0, 1, 2, 3, 4, 4, 4, 2, 0, 3, 2, 0, 2, 3, 1, 3, 0, 2, 3, 3, 2, 4, 4, 0, 2, 3, 4, 1, 0, 1, 2, 3, 1, 2, 3, 2, 1, 4, 2, 1, 4, 3, 4, 1, 2, 0, 3, 4, 3, 0, 4, 1, 1, 2, 0, 4, 2, 1, 2, 4, 4, 0, 1, 0, 3, 4, 2, 0, 2, 1, 4, 2, 3, 0, 4, 1, 2, 3, 1, 2, 2, 0, 1, 0, 3, 3, 3, 2, 3, 2, 2, 1, 2, 0, 4, 0, 0, 3, 0, 2, 3, 3, 1, 3, 2, 1, 4, 3, 0, 2, 2, 3, 2, 4, 4, 0, 3, 0, 3, 2, 1, 4, 3, 3, 3, 3, 0, 2, 0, 4, 0, 4, 0, 2, 2, 4, 3, 3, 0, 0, 2, 1, 1, 4, 3, 4, 2, 4, 1, 3, 1, 2, 1, 0, 1, 0, 2, 1, 4, 0, 2, 0, 4, 4, 0, 4, 0, 4, 3, 1, 0, 2, 2, 0, 1, 4, 3, 0, 0, 3, 2, 4, 4, 4, 4, 0, 1, 1, 4, 1, 0, 0, 4, 4, 4, 3, 2, 1, 2, 0, 4, 4, 3, 3, 1, 3, 2, 1, 2, 0, 0, 4, 0, 3, 2, 0, 1, 4, 1, 3, 3, 0, 4, 1, 2, 0, 0, 3, 3, 2, 0, 4, 0, 3, 3, 4, 2, 3, 2, 2, 2, 3, 4, 1, 3, 1, 1, 1]
pubkeycol832 = [1, 0, 1, 2, 4, 1, 1, 3, 4, 0, 3, 4, 4, 0, 1, 3, 0, 3, 4, 1, 0, 0, 3, 3, 3, 4, 0, 4, 2, 0, 0, 4, 0, 0, 3, 4, 3, 2, 1, 2, 2, 1, 2, 3, 0, 1, 0, 2, 2, 4, 4, 2, 4, 4, 1, 1, 4, 3, 2, 4, 0, 4, 3, 1, 3, 4, 1, 2, 1, 0, 4, 0, 3, 4, 3, 3, 1, 0, 1, 3, 2, 3, 2, 1, 2, 0, 0, 3, 0, 0, 1, 2, 0, 2, 1, 0, 3, 4, 4, 0, 2, 1, 2, 0, 2, 1, 0, 1, 3, 1, 1, 3, 0, 1, 2, 1, 4, 1, 3, 0, 0, 4, 3, 2, 3, 0, 2, 4, 0, 2, 4, 3, 4, 4, 2, 1, 4, 2, 1, 1, 3, 0, 2, 3, 4, 0, 4, 4, 4, 0, 2, 3, 1, 2, 3, 2, 2, 3, 4, 4, 2, 0, 2, 0, 1, 0, 1, 0, 3, 4, 3, 0, 2, 0, 4, 3, 3, 2, 4, 3, 0, 1, 2, 0, 0, 0, 1, 4, 4, 3, 0, 0, 1, 2, 1, 3, 0, 0, 3, 4, 3, 3, 1, 3, 1, 3, 3, 2, 2, 4, 2, 3, 3, 2, 2, 4, 1, 0, 3, 3, 0, 4, 3, 3, 4, 3, 2, 4, 1, 0, 4, 0, 4, 4, 1, 2, 4, 4, 2, 4, 1, 3, 1, 3, 1, 1, 1, 2, 4, 2, 3, 3, 3, 3, 1, 0, 2, 3, 1, 3, 2, 1, 2, 2, 0, 2, 2, 4, 0, 4, 4, 1, 2, 4, 1, 1, 4, 1, 1, 4, 0, 1, 0, 4, 4, 4, 1, 4, 3, 2, 0, 1, 3, 4, 3, 4, 0, 4, 1, 2, 2, 1, 3, 2, 4, 4, 0, 3, 0, 2, 0, 2, 1, 2, 4, 3, 4, 2, 0, 3]
pubkeycol833 = [0, 3, 4, 0, 0, 3, 2, 0, 3, 0, 1, 0, 3, 0, 1, 4, 2, 4, 3, 4, 4, 2, 4, 0, 2, 2, 3, 3, 1, 0, 4, 2, 0, 3, 4, 1, 3, 3, 4, 0, 0, 4, 4, 0, 2, 0, 4, 1, 0, 1, 1, 4, 1, 2, 1, 0, 4, 1, 2, 1, 0, 4, 0, 3, 2, 0, 1, 4, 0, 0, 1, 4, 0, 4, 0, 3, 1, 4, 1, 4, 3, 4, 3, 3, 4, 2, 3, 1, 2, 0, 1, 0, 0, 3, 0, 0, 0, 3, 2, 2, 2, 4, 2, 0, 2, 1, 0, 0, 0, 3, 1, 4, 2, 2, 0, 2, 0, 0, 4, 0, 1, 1, 4, 1, 4, 2, 3, 2, 1, 3, 1, 1, 4, 2, 1, 0, 2, 2, 0, 0, 4, 4, 4, 2, 3, 3, 0, 0, 4, 4, 4, 0, 2, 1, 4, 2, 4, 3, 2, 1, 2, 1, 1, 4, 0, 3, 0, 2, 1, 4, 2, 4, 0, 3, 2, 3, 0, 0, 0, 1, 4, 3, 0, 1, 2, 4, 0, 0, 0, 4, 2, 3, 1, 1, 4, 1, 2, 4, 2, 1, 4, 1, 3, 4, 3, 0, 2, 1, 4, 2, 2, 3, 4, 4, 4, 4, 1, 0, 1, 1, 1, 4, 2, 1, 1, 0, 0, 1, 3, 0, 3, 2, 0, 2, 1, 3, 1, 1, 1, 1, 2, 3, 4, 0, 1, 3, 0, 4, 3, 1, 1, 2, 3, 2, 3, 4, 0, 1, 4, 3, 3, 0, 1, 0, 4, 4, 4, 3, 0, 4, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 3, 4, 2, 2, 3, 0, 1, 2, 0, 2, 3, 4, 2, 1, 1, 2, 1, 0, 2, 3, 4, 3, 0, 1, 2, 0, 0, 3, 0, 2, 2, 1, 3, 1, 1, 2, 4, 1, 4, 3]
pubkeycol834 = [2, 4, 4, 3, 2, 1, 4, 2, 4, 0, 0, 2, 3, 1, 1, 1, 1, 4, 3, 2, 1, 2, 1, 4, 1, 3, 3, 2, 4, 3, 0, 2, 4, 0, 0, 4, 0, 3, 0, 2, 0, 0, 4, 2, 0, 1, 4, 1, 3, 2, 4, 4, 2, 0, 1, 2, 0, 4, 2, 3, 0, 1, 3, 2, 1, 3, 1, 0, 4, 3, 3, 3, 3, 1, 3, 3, 2, 2, 1, 4, 4, 1, 3, 0, 1, 0, 3, 4, 0, 4, 3, 3, 1, 1, 0, 3, 3, 4, 1, 0, 4, 3, 4, 4, 2, 0, 1, 2, 3, 1, 0, 0, 0, 0, 1, 0, 2, 3, 0, 2, 3, 1, 1, 0, 1, 1, 0, 0, 3, 4, 0, 0, 4, 4, 1, 3, 2, 3, 0, 2, 0, 3, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 4, 1, 0, 2, 1, 1, 3, 4, 3, 0, 0, 2, 2, 4, 2, 2, 2, 1, 3, 3, 4, 3, 1, 4, 0, 1, 1, 4, 0, 4, 1, 1, 1, 3, 1, 4, 0, 2, 4, 0, 3, 0, 4, 4, 0, 0, 2, 0, 1, 3, 0, 2, 1, 4, 1, 0, 0, 4, 2, 3, 4, 2, 2, 4, 1, 4, 3, 4, 3, 1, 0, 2, 3, 0, 2, 4, 3, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 0, 1, 4, 3, 1, 4, 3, 0, 4, 4, 3, 4, 0, 1, 0, 0, 3, 2, 4, 2, 2, 1, 3, 1, 0, 4, 3, 0, 3, 3, 2, 1, 3, 4, 3, 4, 1, 0, 4, 1, 4, 1, 4, 2, 3, 0, 1, 0, 3, 3, 1, 1, 0, 0, 3, 3, 2, 3, 3, 1, 4, 2, 4, 2, 1, 0, 0, 3, 4, 1, 2, 4, 0, 3, 3, 4, 4, 4]
pubkeycol835 = [2, 3, 0, 3, 0, 1, 3, 2, 0, 0, 3, 0, 2, 1, 4, 2, 3, 4, 2, 3, 2, 3, 0, 1, 0, 1, 0, 1, 2, 3, 1, 1, 0, 0, 3, 0, 0, 4, 2, 4, 2, 3, 4, 2, 0, 4, 0, 4, 2, 0, 3, 1, 4, 0, 2, 3, 2, 0, 2, 0, 0, 0, 0, 0, 4, 2, 0, 2, 4, 4, 1, 0, 1, 0, 1, 3, 3, 1, 0, 4, 1, 4, 1, 3, 0, 0, 3, 1, 1, 4, 0, 2, 3, 1, 0, 0, 3, 4, 4, 3, 1, 1, 3, 1, 3, 2, 1, 4, 0, 0, 0, 1, 0, 3, 3, 4, 1, 3, 0, 0, 1, 1, 3, 3, 0, 0, 4, 4, 2, 0, 4, 1, 3, 2, 4, 4, 4, 1, 4, 0, 1, 3, 2, 1, 4, 2, 0, 4, 3, 3, 1, 0, 1, 0, 3, 0, 4, 1, 4, 1, 1, 3, 0, 3, 4, 1, 1, 4, 1, 2, 3, 3, 0, 4, 2, 4, 1, 3, 4, 2, 0, 0, 0, 0, 0, 2, 4, 3, 3, 1, 2, 2, 4, 1, 0, 3, 4, 1, 4, 1, 2, 4, 0, 0, 2, 1, 3, 3, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 3, 2, 3, 0, 0, 4, 2, 4, 4, 3, 1, 3, 2, 2, 4, 1, 0, 1, 4, 1, 1, 2, 3, 2, 1, 1, 3, 2, 2, 1, 3, 0, 0, 2, 3, 0, 4, 2, 3, 4, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 3, 0, 3, 1, 2, 0, 3, 4, 2, 0, 0, 1, 4, 1, 1, 0, 4, 0, 1, 0, 0, 3, 0, 0, 1, 0, 1, 3, 1, 4, 1, 4, 1, 0, 4, 4, 2, 4, 3, 2, 3, 2, 1, 3, 4, 3, 1, 0, 1, 1]
pubkeycol836 = [2, 3, 1, 1, 3, 0, 0, 3, 2, 4, 4, 0, 1, 1, 1, 4, 1, 1, 0, 4, 0, 2, 2, 2, 3, 0, 1, 1, 0, 1, 0, 4, 1, 2, 2, 4, 2, 1, 2, 0, 4, 4, 1, 4, 3, 4, 0, 0, 2, 2, 2, 3, 2, 0, 1, 1, 1, 1, 4, 0, 2, 1, 2, 3, 0, 3, 0, 2, 4, 0, 4, 4, 4, 3, 4, 0, 0, 0, 1, 3, 4, 4, 3, 4, 0, 0, 1, 3, 1, 1, 1, 2, 3, 2, 2, 4, 4, 4, 0, 1, 4, 0, 1, 4, 4, 3, 2, 0, 3, 4, 1, 3, 1, 3, 4, 3, 3, 1, 1, 4, 4, 4, 1, 0, 3, 4, 4, 1, 0, 4, 0, 4, 2, 2, 2, 1, 0, 3, 2, 4, 2, 2, 0, 2, 2, 1, 4, 1, 0, 4, 4, 2, 1, 2, 4, 1, 4, 2, 2, 2, 0, 3, 0, 1, 3, 1, 3, 1, 0, 2, 4, 1, 0, 0, 1, 0, 3, 0, 3, 0, 2, 1, 4, 1, 3, 1, 0, 4, 3, 3, 2, 1, 1, 1, 3, 0, 0, 0, 1, 2, 2, 0, 0, 4, 4, 2, 4, 2, 0, 3, 3, 3, 0, 0, 0, 3, 4, 1, 3, 4, 4, 4, 3, 3, 1, 4, 0, 4, 4, 1, 4, 0, 4, 0, 2, 2, 2, 0, 4, 4, 3, 3, 2, 0, 1, 3, 4, 1, 2, 3, 3, 3, 0, 1, 0, 0, 4, 0, 1, 2, 1, 1, 4, 2, 0, 3, 0, 1, 0, 3, 0, 3, 3, 1, 0, 3, 3, 4, 4, 4, 4, 3, 3, 1, 2, 2, 0, 3, 4, 4, 1, 0, 3, 0, 4, 4, 2, 1, 1, 1, 3, 3, 0, 3, 0, 3, 2, 2, 3, 0, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2]
pubkeycol837 = [0, 1, 4, 1, 4, 0, 4, 2, 3, 3, 4, 3, 2, 2, 4, 1, 1, 2, 4, 0, 0, 3, 1, 4, 3, 3, 3, 2, 0, 0, 2, 2, 1, 2, 0, 1, 3, 3, 1, 4, 1, 4, 0, 0, 1, 2, 2, 3, 2, 1, 4, 2, 0, 0, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 4, 4, 2, 1, 2, 3, 1, 0, 1, 3, 3, 0, 3, 2, 1, 2, 4, 2, 0, 2, 3, 0, 2, 2, 1, 0, 3, 1, 0, 0, 4, 1, 0, 3, 0, 3, 4, 4, 0, 3, 1, 1, 0, 1, 4, 2, 4, 0, 4, 2, 0, 0, 0, 0, 4, 0, 1, 1, 4, 2, 4, 4, 4, 4, 2, 2, 1, 3, 4, 2, 2, 0, 1, 3, 1, 1, 1, 0, 1, 1, 2, 0, 3, 3, 4, 3, 4, 2, 4, 2, 2, 4, 2, 1, 1, 4, 0, 1, 0, 1, 4, 1, 0, 0, 1, 4, 2, 3, 2, 2, 3, 0, 4, 3, 3, 4, 0, 1, 2, 0, 1, 4, 0, 0, 0, 3, 1, 2, 4, 3, 1, 0, 1, 1, 2, 4, 0, 0, 1, 2, 2, 4, 4, 3, 3, 0, 1, 1, 2, 1, 0, 0, 0, 4, 3, 4, 3, 2, 0, 3, 4, 0, 3, 4, 2, 3, 4, 0, 3, 4, 0, 3, 2, 3, 2, 3, 0, 1, 2, 2, 3, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 3, 4, 3, 2, 3, 2, 1, 0, 1, 0, 1, 0, 4, 3, 4, 1, 3, 0, 2, 3, 1, 4, 0, 0, 3, 1, 2, 4, 4, 1, 1, 4, 2, 0, 0, 0, 0, 3, 3, 3, 2, 0, 0, 3, 0, 4, 2, 3, 3, 2, 1, 3, 2, 0, 2, 2, 0, 3, 4, 1]
pubkeycol838 = [3, 1, 1, 0, 1, 0, 2, 4, 0, 4, 4, 1, 0, 2, 4, 4, 4, 1, 0, 4, 4, 0, 3, 2, 1, 1, 0, 3, 2, 2, 1, 0, 3, 4, 1, 0, 1, 3, 0, 1, 4, 3, 0, 3, 4, 4, 3, 2, 2, 3, 4, 1, 0, 4, 1, 3, 3, 4, 4, 2, 2, 0, 3, 2, 2, 2, 2, 0, 3, 0, 0, 1, 2, 1, 3, 3, 4, 3, 2, 4, 1, 4, 2, 1, 2, 1, 1, 0, 0, 2, 4, 3, 4, 2, 3, 1, 3, 1, 2, 0, 4, 3, 3, 2, 2, 2, 0, 3, 0, 4, 2, 0, 0, 4, 2, 0, 0, 2, 4, 3, 1, 2, 1, 1, 1, 1, 3, 1, 4, 2, 1, 2, 4, 3, 2, 0, 0, 4, 1, 4, 1, 1, 4, 4, 0, 0, 4, 3, 4, 3, 1, 3, 4, 4, 2, 0, 0, 3, 3, 4, 4, 4, 3, 4, 0, 2, 4, 3, 4, 4, 0, 0, 2, 1, 4, 0, 3, 1, 0, 4, 3, 1, 0, 4, 4, 1, 3, 1, 4, 3, 3, 3, 1, 2, 2, 1, 1, 0, 1, 3, 4, 1, 2, 1, 2, 0, 0, 3, 1, 2, 0, 3, 3, 4, 1, 3, 1, 2, 0, 4, 3, 3, 2, 1, 0, 2, 0, 3, 4, 1, 4, 0, 0, 2, 3, 4, 1, 1, 0, 1, 0, 2, 3, 1, 0, 0, 1, 1, 1, 3, 2, 1, 2, 0, 1, 4, 1, 4, 0, 1, 4, 2, 3, 3, 0, 2, 1, 0, 3, 0, 4, 2, 0, 2, 4, 1, 1, 1, 1, 4, 0, 1, 4, 0, 4, 4, 3, 0, 2, 1, 0, 0, 4, 3, 0, 0, 3, 2, 1, 2, 0, 1, 2, 3, 0, 2, 0, 1, 1, 1, 0, 1, 0, 3, 4, 4, 2, 2, 4, 3]
pubkeycol839 = [2, 1, 4, 3, 2, 0, 4, 0, 3, 2, 1, 2, 2, 4, 4, 0, 0, 3, 0, 2, 3, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 4, 0, 3, 1, 0, 4, 0, 2, 1, 3, 4, 4, 4, 3, 4, 3, 3, 4, 1, 0, 1, 1, 1, 1, 0, 4, 4, 4, 4, 1, 4, 3, 4, 3, 1, 2, 2, 2, 0, 3, 3, 4, 1, 4, 3, 0, 4, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 4, 4, 3, 0, 3, 3, 4, 4, 2, 3, 4, 1, 0, 3, 1, 2, 0, 2, 2, 1, 1, 3, 0, 3, 0, 3, 2, 1, 0, 0, 2, 4, 0, 2, 4, 2, 2, 2, 1, 4, 1, 1, 3, 3, 0, 0, 1, 1, 3, 2, 2, 4, 3, 1, 0, 0, 2, 1, 4, 2, 2, 0, 1, 4, 3, 4, 1, 4, 1, 0, 4, 1, 4, 0, 0, 4, 0, 2, 4, 0, 3, 0, 0, 2, 1, 4, 0, 3, 3, 0, 3, 4, 4, 0, 2, 3, 1, 4, 2, 0, 0, 4, 0, 3, 1, 0, 2, 3, 0, 3, 0, 3, 1, 2, 0, 3, 0, 0, 0, 2, 4, 4, 2, 3, 2, 0, 3, 2, 1, 4, 2, 4, 0, 4, 0, 2, 1, 4, 2, 0, 4, 4, 2, 2, 3, 4, 4, 2, 1, 3, 1, 1, 2, 3, 0, 0, 3, 2, 1, 1, 2, 4, 0, 2, 4, 0, 2, 3, 1, 1, 3, 4, 0, 0, 1, 2, 3, 3, 4, 3, 2, 3, 2, 4, 2, 3, 0, 4, 3, 2, 4, 1, 0, 3, 0, 4, 4, 1, 2, 4, 0, 0, 4, 4, 1, 3, 3, 3, 1, 4, 0, 1, 1, 0, 2, 0, 1, 2, 4, 3, 3, 2, 4, 3, 1, 2, 4, 1, 0, 4, 4]
pubkeycol840 = [2, 2, 1, 3, 0, 4, 3, 4, 2, 0, 2, 2, 0, 0, 0, 4, 1, 3, 3, 3, 0, 3, 3, 0, 3, 2, 4, 2, 2, 0, 1, 3, 0, 2, 1, 3, 2, 2, 1, 1, 2, 4, 2, 4, 0, 4, 4, 1, 1, 2, 2, 3, 2, 4, 3, 1, 1, 3, 2, 0, 4, 3, 1, 1, 2, 1, 4, 1, 1, 4, 4, 2, 3, 4, 2, 1, 4, 4, 0, 1, 0, 1, 0, 0, 0, 4, 1, 0, 0, 4, 1, 4, 1, 1, 1, 1, 3, 1, 2, 3, 2, 3, 3, 2, 1, 2, 2, 3, 3, 0, 2, 3, 2, 3, 4, 0, 4, 0, 1, 3, 0, 1, 3, 1, 4, 1, 2, 2, 0, 3, 3, 0, 4, 3, 2, 4, 0, 0, 1, 1, 2, 0, 1, 0, 3, 2, 2, 1, 4, 3, 1, 3, 3, 4, 0, 0, 0, 3, 3, 3, 3, 4, 2, 1, 3, 0, 4, 0, 3, 2, 0, 0, 2, 2, 1, 2, 2, 0, 4, 3, 2, 1, 4, 1, 3, 2, 4, 4, 3, 1, 0, 2, 0, 3, 2, 2, 4, 0, 1, 4, 3, 3, 1, 4, 2, 2, 2, 1, 2, 3, 4, 2, 4, 3, 0, 4, 1, 4, 1, 4, 1, 4, 2, 3, 3, 1, 1, 2, 4, 2, 4, 0, 2, 4, 2, 4, 0, 2, 2, 1, 4, 1, 2, 3, 1, 3, 0, 3, 3, 3, 2, 1, 1, 2, 4, 2, 1, 4, 1, 1, 1, 0, 3, 3, 0, 2, 4, 4, 2, 4, 0, 3, 1, 4, 3, 4, 3, 4, 2, 0, 1, 3, 2, 3, 1, 2, 2, 3, 2, 4, 1, 3, 2, 4, 0, 4, 4, 0, 0, 4, 1, 0, 4, 4, 1, 3, 1, 3, 0, 2, 2, 3, 4, 2, 3, 1, 4, 2, 1, 2]
pubkeycol841 = [0, 2, 0, 2, 0, 0, 2, 1, 4, 1, 1, 0, 4, 3, 3, 1, 2, 2, 2, 3, 4, 0, 2, 2, 3, 4, 4, 0, 4, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 3, 4, 3, 2, 4, 4, 4, 0, 1, 1, 0, 1, 0, 2, 1, 4, 4, 2, 0, 2, 0, 4, 3, 4, 2, 0, 2, 3, 1, 2, 2, 1, 0, 2, 2, 3, 1, 4, 1, 3, 2, 4, 0, 0, 4, 2, 0, 4, 3, 2, 2, 1, 0, 3, 4, 0, 4, 3, 2, 3, 4, 2, 3, 1, 0, 3, 1, 1, 2, 0, 0, 1, 2, 2, 0, 4, 3, 2, 1, 3, 2, 0, 0, 3, 0, 1, 3, 4, 4, 1, 2, 0, 3, 1, 3, 1, 0, 1, 2, 2, 3, 4, 2, 2, 1, 3, 3, 2, 0, 2, 3, 4, 1, 4, 1, 0, 4, 4, 0, 3, 0, 4, 4, 0, 2, 3, 2, 3, 3, 3, 1, 4, 1, 2, 0, 3, 3, 3, 3, 0, 0, 4, 0, 3, 0, 4, 2, 0, 1, 1, 4, 0, 0, 1, 0, 2, 4, 4, 3, 0, 0, 4, 3, 2, 2, 0, 2, 1, 1, 3, 1, 3, 4, 0, 4, 1, 2, 3, 0, 3, 4, 1, 4, 1, 2, 2, 2, 0, 1, 0, 0, 2, 3, 2, 2, 3, 1, 4, 3, 2, 0, 3, 0, 3, 2, 3, 3, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 4, 0, 1, 3, 4, 0, 3, 1, 4, 0, 4, 3, 3, 3, 4, 0, 0, 1, 4, 2, 1, 0, 3, 4, 4, 3, 3, 1, 4, 1, 4, 1, 4, 4, 0, 1, 4, 1, 3, 2, 0, 4, 4, 1, 3, 4, 4, 4, 1, 4, 0, 2, 4, 2, 1, 1, 3, 3, 2, 0, 3, 2]
pubkeycol842 = [4, 4, 3, 3, 0, 4, 1, 1, 2, 0, 0, 2, 3, 4, 3, 3, 3, 3, 0, 2, 3, 0, 2, 3, 0, 4, 3, 4, 3, 1, 0, 4, 0, 1, 2, 1, 1, 3, 4, 2, 2, 4, 4, 2, 2, 1, 3, 1, 2, 3, 0, 2, 1, 0, 3, 2, 2, 0, 3, 4, 1, 2, 2, 4, 1, 2, 3, 4, 4, 2, 2, 1, 1, 2, 3, 1, 4, 1, 1, 0, 2, 0, 3, 0, 2, 3, 2, 2, 3, 0, 3, 4, 4, 1, 4, 1, 0, 3, 0, 3, 2, 4, 2, 3, 0, 3, 3, 2, 0, 4, 3, 4, 0, 0, 2, 3, 4, 2, 4, 4, 3, 4, 4, 1, 2, 1, 2, 1, 0, 0, 3, 1, 1, 2, 0, 1, 4, 2, 3, 3, 0, 1, 0, 1, 4, 0, 1, 1, 4, 3, 1, 3, 2, 1, 1, 3, 4, 0, 2, 4, 3, 2, 0, 4, 1, 0, 3, 0, 0, 3, 1, 2, 3, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 3, 0, 4, 0, 3, 1, 1, 2, 3, 1, 1, 0, 0, 3, 1, 1, 0, 1, 2, 0, 4, 1, 2, 4, 0, 2, 0, 3, 2, 3, 1, 3, 1, 4, 2, 1, 4, 2, 3, 4, 2, 4, 4, 3, 3, 4, 2, 4, 4, 3, 1, 1, 1, 1, 3, 2, 3, 4, 3, 2, 4, 4, 2, 3, 4, 0, 0, 2, 3, 2, 2, 1, 3, 4, 4, 0, 2, 0, 0, 3, 2, 3, 2, 4, 1, 0, 3, 0, 2, 3, 4, 1, 1, 1, 3, 1, 1, 3, 1, 4, 3, 3, 0, 3, 2, 1, 1, 1, 3, 0, 2, 2, 1, 1, 2, 4, 2, 4, 2, 2, 0, 1, 3, 2, 2, 4, 4, 2, 3, 4, 4, 2, 0, 4, 3, 0, 2]
pubkeycol843 = [1, 4, 0, 3, 3, 1, 1, 0, 2, 4, 1, 0, 3, 3, 3, 1, 1, 3, 2, 3, 4, 4, 2, 0, 3, 3, 2, 4, 1, 4, 2, 3, 1, 2, 2, 1, 1, 2, 4, 4, 4, 4, 0, 4, 0, 0, 0, 2, 1, 3, 2, 4, 4, 3, 0, 4, 2, 0, 4, 2, 0, 3, 0, 4, 2, 4, 4, 4, 4, 1, 4, 1, 0, 2, 1, 0, 1, 4, 4, 4, 0, 4, 4, 3, 3, 0, 1, 3, 1, 0, 0, 1, 0, 4, 3, 0, 1, 4, 4, 4, 2, 1, 0, 0, 2, 3, 1, 0, 1, 2, 3, 1, 4, 4, 4, 4, 4, 2, 0, 3, 1, 1, 0, 3, 0, 1, 3, 2, 3, 4, 2, 1, 1, 2, 4, 0, 4, 3, 4, 4, 1, 3, 2, 1, 4, 4, 3, 4, 3, 2, 0, 0, 4, 3, 2, 1, 2, 2, 2, 2, 1, 4, 3, 3, 2, 3, 3, 3, 4, 2, 3, 3, 2, 2, 1, 4, 0, 4, 4, 1, 3, 2, 2, 3, 0, 0, 1, 4, 3, 3, 3, 1, 3, 4, 3, 4, 3, 1, 3, 4, 2, 0, 4, 0, 4, 4, 2, 1, 0, 4, 3, 3, 0, 2, 0, 4, 0, 2, 0, 0, 3, 0, 0, 2, 1, 2, 0, 4, 1, 1, 2, 4, 2, 1, 4, 3, 4, 0, 3, 3, 0, 4, 0, 1, 2, 2, 0, 4, 4, 2, 1, 1, 0, 1, 0, 2, 2, 3, 2, 0, 2, 2, 4, 4, 3, 3, 2, 4, 0, 3, 4, 0, 1, 4, 4, 4, 2, 1, 3, 0, 1, 2, 4, 1, 1, 2, 4, 1, 1, 3, 4, 0, 0, 1, 4, 1, 1, 2, 0, 4, 0, 0, 3, 3, 2, 1, 4, 2, 1, 4, 4, 0, 4, 2, 1, 0, 0, 1, 2, 4]
pubkeycol844 = [3, 4, 3, 2, 2, 4, 0, 4, 2, 0, 3, 0, 2, 3, 4, 0, 3, 1, 3, 3, 0, 1, 1, 4, 4, 3, 1, 3, 3, 4, 4, 3, 0, 4, 0, 2, 3, 3, 1, 0, 2, 3, 0, 4, 1, 0, 1, 1, 0, 2, 4, 4, 2, 0, 0, 2, 0, 1, 3, 0, 1, 4, 1, 4, 2, 4, 0, 2, 4, 3, 1, 0, 4, 1, 3, 0, 2, 3, 1, 2, 1, 2, 3, 1, 1, 4, 0, 4, 4, 0, 2, 1, 1, 0, 2, 2, 2, 3, 1, 3, 3, 3, 2, 4, 0, 4, 1, 0, 1, 2, 0, 1, 4, 3, 0, 3, 0, 3, 2, 3, 2, 1, 1, 2, 4, 4, 4, 0, 2, 0, 1, 1, 1, 4, 1, 4, 0, 4, 1, 0, 2, 4, 4, 1, 1, 4, 1, 4, 2, 0, 2, 3, 0, 0, 1, 1, 4, 3, 3, 0, 3, 0, 2, 3, 4, 2, 3, 4, 3, 4, 3, 3, 3, 4, 0, 3, 3, 1, 3, 3, 4, 4, 4, 2, 1, 1, 1, 0, 1, 2, 3, 1, 1, 1, 0, 1, 3, 1, 1, 2, 1, 4, 1, 4, 3, 3, 0, 1, 4, 2, 0, 3, 2, 3, 1, 1, 1, 1, 3, 1, 4, 1, 4, 3, 0, 4, 2, 1, 1, 3, 3, 0, 4, 1, 2, 1, 3, 3, 4, 1, 0, 2, 3, 2, 0, 4, 3, 4, 0, 4, 0, 1, 4, 2, 1, 2, 1, 4, 3, 0, 3, 4, 0, 1, 0, 4, 2, 3, 3, 4, 1, 4, 3, 2, 3, 4, 0, 2, 1, 4, 4, 1, 2, 2, 0, 2, 0, 1, 0, 3, 0, 3, 1, 1, 4, 4, 0, 3, 3, 4, 0, 4, 1, 0, 0, 1, 1, 4, 0, 0, 0, 0, 0, 1, 0, 3, 1, 4, 2, 2]
pubkeycol845 = [4, 3, 4, 2, 2, 1, 4, 2, 1, 4, 3, 4, 4, 0, 0, 2, 4, 1, 3, 2, 3, 4, 3, 1, 1, 4, 2, 1, 0, 4, 0, 0, 1, 3, 2, 4, 1, 1, 2, 0, 4, 3, 3, 3, 2, 0, 2, 1, 1, 0, 4, 3, 2, 0, 2, 0, 1, 2, 0, 2, 1, 4, 2, 0, 1, 3, 2, 2, 4, 3, 2, 0, 0, 3, 2, 1, 4, 1, 1, 3, 3, 3, 0, 3, 1, 4, 2, 1, 2, 0, 2, 2, 0, 1, 4, 3, 2, 0, 0, 3, 2, 2, 2, 0, 4, 0, 0, 0, 3, 0, 1, 2, 4, 4, 2, 4, 0, 1, 1, 4, 1, 0, 4, 3, 4, 0, 1, 3, 1, 0, 1, 4, 2, 4, 1, 2, 1, 4, 0, 1, 3, 0, 4, 4, 0, 2, 1, 1, 1, 3, 4, 4, 4, 4, 0, 1, 4, 3, 2, 4, 4, 3, 3, 3, 0, 2, 2, 4, 1, 1, 3, 1, 0, 4, 4, 4, 2, 2, 0, 0, 0, 1, 4, 1, 2, 1, 3, 1, 0, 2, 0, 3, 2, 4, 3, 3, 4, 0, 3, 1, 1, 2, 2, 3, 2, 4, 0, 4, 1, 4, 4, 4, 2, 1, 1, 1, 1, 1, 0, 2, 4, 1, 3, 2, 3, 1, 3, 1, 3, 0, 4, 4, 4, 1, 1, 3, 2, 3, 4, 4, 2, 4, 0, 3, 1, 1, 3, 0, 0, 3, 0, 1, 2, 4, 1, 0, 0, 2, 0, 0, 2, 3, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 4, 2, 4, 2, 2, 2, 3, 0, 3, 2, 4, 1, 3, 1, 3, 0, 1, 4, 1, 4, 2, 4, 0, 1, 0, 1, 0, 4, 3, 4, 2, 1, 4, 2, 4, 4, 1, 2, 3, 3, 1, 0, 3, 2, 2, 2, 1, 2]
pubkeycol846 = [3, 3, 4, 0, 3, 3, 4, 0, 4, 3, 2, 4, 1, 1, 2, 0, 4, 3, 0, 3, 2, 2, 2, 0, 2, 0, 0, 0, 4, 4, 2, 4, 1, 0, 0, 1, 2, 4, 2, 1, 4, 0, 2, 3, 2, 1, 3, 3, 2, 3, 3, 4, 4, 2, 3, 2, 4, 2, 2, 4, 3, 2, 3, 1, 2, 1, 4, 1, 3, 0, 2, 0, 4, 4, 3, 3, 2, 1, 0, 1, 4, 4, 2, 2, 2, 3, 1, 1, 4, 4, 2, 1, 0, 1, 4, 1, 3, 3, 2, 1, 3, 0, 3, 0, 2, 2, 4, 3, 1, 3, 4, 1, 0, 3, 2, 3, 1, 0, 0, 2, 3, 1, 1, 0, 3, 3, 0, 1, 0, 3, 2, 4, 4, 1, 3, 3, 2, 4, 4, 4, 4, 4, 3, 0, 1, 3, 2, 2, 4, 3, 2, 2, 4, 0, 3, 0, 0, 4, 4, 3, 3, 2, 1, 0, 1, 3, 1, 0, 0, 0, 4, 0, 2, 0, 4, 1, 0, 3, 2, 4, 4, 4, 1, 2, 2, 3, 2, 4, 1, 3, 3, 1, 3, 1, 1, 2, 3, 2, 1, 0, 2, 2, 1, 4, 4, 2, 0, 4, 1, 1, 4, 0, 0, 1, 2, 4, 1, 1, 4, 0, 2, 0, 3, 1, 3, 2, 2, 4, 1, 1, 0, 1, 0, 2, 1, 4, 2, 0, 4, 0, 1, 3, 4, 4, 3, 0, 0, 1, 1, 0, 0, 3, 2, 0, 2, 1, 4, 2, 2, 3, 0, 2, 2, 3, 2, 0, 4, 4, 0, 0, 0, 4, 1, 2, 0, 4, 3, 1, 3, 2, 2, 3, 3, 2, 4, 3, 2, 0, 1, 0, 4, 1, 2, 2, 3, 0, 4, 0, 4, 4, 2, 2, 3, 2, 1, 3, 3, 1, 1, 0, 2, 1, 2, 2, 1, 2, 3, 1, 0, 1]
pubkeycol847 = [1, 4, 0, 2, 4, 1, 1, 4, 0, 4, 1, 1, 1, 4, 3, 3, 2, 0, 4, 4, 2, 3, 3, 0, 2, 4, 3, 0, 0, 0, 4, 0, 3, 1, 0, 4, 4, 1, 0, 0, 0, 2, 1, 2, 1, 2, 3, 2, 4, 0, 0, 3, 2, 3, 0, 0, 2, 3, 0, 4, 1, 0, 4, 3, 3, 0, 3, 0, 1, 3, 2, 3, 4, 0, 3, 2, 0, 3, 1, 3, 1, 0, 3, 0, 4, 3, 3, 1, 4, 3, 1, 0, 0, 0, 2, 0, 3, 4, 4, 4, 1, 1, 3, 2, 0, 2, 3, 3, 1, 0, 3, 4, 2, 1, 2, 2, 2, 2, 1, 3, 3, 2, 4, 1, 1, 1, 2, 0, 0, 4, 2, 1, 2, 4, 1, 3, 1, 0, 4, 1, 3, 2, 1, 0, 2, 2, 2, 0, 1, 2, 4, 4, 1, 4, 4, 3, 1, 1, 3, 2, 4, 0, 1, 0, 1, 0, 4, 3, 0, 2, 2, 4, 1, 3, 2, 0, 1, 2, 0, 2, 0, 2, 2, 4, 3, 2, 3, 1, 3, 2, 0, 4, 1, 1, 4, 1, 3, 0, 0, 1, 0, 3, 2, 0, 0, 4, 1, 0, 2, 4, 4, 4, 2, 2, 4, 4, 4, 3, 0, 0, 1, 0, 0, 0, 1, 3, 1, 0, 3, 2, 0, 3, 2, 3, 1, 1, 2, 0, 2, 4, 1, 2, 2, 0, 1, 4, 4, 0, 1, 1, 0, 3, 3, 1, 4, 1, 1, 0, 4, 4, 0, 2, 0, 1, 4, 3, 4, 0, 1, 1, 1, 3, 3, 1, 0, 4, 4, 4, 3, 1, 0, 1, 0, 3, 0, 2, 1, 2, 3, 3, 4, 2, 4, 0, 2, 2, 1, 2, 0, 1, 4, 4, 2, 2, 4, 2, 1, 2, 0, 4, 3, 2, 4, 3, 1, 4, 1, 1, 4, 3]
pubkeycol848 = [1, 4, 4, 1, 1, 0, 3, 3, 1, 1, 1, 2, 4, 3, 0, 0, 2, 2, 4, 2, 0, 4, 0, 0, 2, 4, 0, 0, 3, 0, 3, 0, 2, 4, 1, 1, 3, 3, 3, 2, 2, 2, 4, 3, 2, 4, 2, 4, 1, 2, 2, 0, 0, 3, 2, 2, 2, 3, 2, 4, 2, 3, 0, 0, 3, 4, 1, 4, 3, 4, 4, 1, 1, 2, 3, 3, 2, 1, 0, 0, 1, 1, 2, 2, 2, 4, 3, 2, 0, 3, 4, 0, 2, 4, 3, 1, 0, 3, 1, 4, 3, 4, 3, 3, 3, 1, 4, 4, 4, 4, 4, 0, 4, 4, 2, 4, 2, 4, 3, 2, 2, 2, 0, 3, 4, 1, 4, 3, 1, 3, 4, 4, 3, 3, 0, 2, 4, 3, 1, 4, 4, 3, 2, 4, 4, 3, 4, 4, 2, 4, 0, 1, 3, 1, 3, 0, 2, 3, 3, 0, 0, 3, 4, 0, 0, 3, 4, 0, 1, 0, 0, 3, 2, 4, 0, 2, 0, 4, 4, 0, 0, 4, 1, 1, 1, 4, 1, 1, 3, 4, 2, 4, 2, 2, 2, 1, 3, 2, 0, 4, 4, 0, 4, 0, 1, 1, 1, 4, 0, 1, 1, 3, 4, 4, 3, 1, 2, 0, 2, 2, 4, 0, 4, 4, 0, 1, 3, 4, 1, 2, 3, 0, 1, 0, 0, 2, 0, 4, 0, 2, 3, 4, 0, 1, 4, 4, 3, 2, 2, 0, 1, 1, 3, 1, 2, 3, 0, 1, 0, 2, 1, 3, 2, 1, 0, 0, 1, 0, 0, 4, 2, 3, 4, 0, 1, 2, 3, 1, 4, 4, 0, 3, 4, 0, 4, 2, 0, 4, 3, 2, 4, 4, 3, 4, 0, 4, 2, 2, 2, 4, 1, 1, 0, 4, 0, 3, 0, 1, 2, 2, 4, 2, 2, 0, 2, 2, 2, 3, 1, 2]
pubkeycol849 = [4, 0, 4, 2, 4, 3, 4, 2, 4, 0, 0, 2, 3, 2, 2, 3, 2, 2, 1, 2, 0, 2, 0, 3, 1, 2, 1, 4, 3, 0, 3, 3, 4, 0, 4, 1, 2, 2, 3, 3, 2, 4, 1, 0, 3, 2, 3, 4, 2, 4, 3, 3, 1, 3, 2, 2, 2, 4, 1, 4, 2, 0, 0, 0, 1, 2, 3, 4, 0, 4, 4, 4, 1, 0, 2, 0, 1, 2, 2, 1, 3, 3, 4, 2, 3, 2, 0, 3, 3, 1, 1, 1, 4, 3, 2, 3, 4, 0, 0, 4, 4, 2, 4, 1, 2, 4, 4, 1, 2, 3, 0, 2, 3, 4, 4, 3, 0, 0, 0, 2, 2, 3, 1, 2, 2, 0, 2, 1, 4, 2, 0, 4, 2, 3, 1, 0, 4, 1, 2, 0, 1, 4, 2, 1, 3, 1, 2, 3, 1, 3, 0, 0, 4, 0, 0, 4, 2, 1, 4, 3, 1, 0, 4, 3, 1, 1, 1, 0, 2, 2, 3, 0, 1, 0, 1, 1, 2, 1, 0, 2, 4, 3, 4, 4, 3, 4, 0, 3, 0, 0, 3, 4, 2, 3, 3, 4, 1, 3, 0, 1, 1, 1, 3, 1, 2, 2, 1, 2, 0, 2, 4, 2, 4, 0, 1, 0, 1, 3, 0, 4, 2, 1, 0, 3, 3, 3, 1, 0, 1, 1, 0, 2, 2, 4, 0, 0, 3, 2, 2, 0, 4, 4, 1, 3, 1, 4, 4, 2, 3, 0, 4, 2, 2, 3, 0, 2, 2, 0, 0, 4, 1, 3, 3, 1, 3, 2, 0, 1, 4, 0, 3, 2, 1, 3, 3, 3, 1, 3, 4, 0, 0, 1, 3, 1, 3, 3, 1, 0, 4, 3, 1, 0, 3, 1, 0, 0, 3, 2, 1, 1, 0, 2, 2, 3, 3, 0, 0, 1, 2, 3, 1, 2, 4, 3, 0, 0, 0, 4, 3, 1]
pubkeycol850 = [3, 3, 2, 1, 2, 0, 1, 0, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 0, 3, 4, 1, 4, 2, 3, 2, 3, 3, 3, 4, 0, 1, 0, 2, 1, 0, 0, 0, 4, 4, 2, 0, 4, 3, 4, 3, 0, 4, 3, 1, 1, 1, 3, 1, 1, 1, 0, 3, 3, 3, 3, 3, 2, 4, 4, 0, 2, 2, 4, 2, 0, 4, 0, 3, 0, 4, 2, 3, 0, 2, 2, 0, 4, 2, 0, 3, 4, 1, 2, 3, 0, 4, 0, 1, 3, 2, 4, 4, 2, 4, 2, 1, 4, 4, 1, 3, 1, 4, 0, 1, 2, 2, 0, 1, 4, 0, 4, 4, 2, 4, 2, 3, 0, 1, 0, 2, 1, 0, 3, 1, 2, 1, 2, 1, 4, 0, 0, 1, 3, 2, 0, 0, 4, 3, 3, 1, 0, 0, 0, 3, 1, 2, 1, 0, 4, 3, 3, 1, 2, 3, 3, 2, 3, 3, 2, 1, 4, 4, 1, 1, 0, 1, 2, 2, 0, 4, 2, 1, 0, 2, 1, 2, 4, 4, 3, 4, 4, 4, 4, 0, 3, 3, 4, 0, 2, 4, 3, 4, 0, 3, 3, 0, 4, 4, 4, 2, 1, 1, 3, 1, 2, 3, 2, 3, 2, 2, 4, 1, 1, 1, 0, 2, 1, 2, 3, 0, 2, 4, 2, 4, 4, 1, 3, 3, 4, 4, 4, 4, 4, 1, 3, 0, 2, 1, 0, 0, 3, 0, 0, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 0, 3, 1, 2, 1, 3, 0, 0, 2, 0, 2, 4, 1, 4, 0, 0, 0, 2, 0, 4, 4, 3, 3, 1, 2, 3, 1, 1, 3, 4, 1, 2, 3, 1, 1, 1, 3, 0, 0, 4, 3, 1, 4, 3, 1, 2, 3, 0, 1, 0, 0, 1, 4, 2, 3, 3]
pubkeycol851 = [0, 4, 0, 4, 2, 1, 2, 1, 4, 3, 3, 3, 3, 4, 1, 1, 2, 1, 3, 1, 4, 0, 0, 3, 4, 3, 4, 2, 1, 2, 4, 2, 4, 2, 2, 4, 0, 0, 2, 0, 2, 3, 1, 1, 4, 2, 2, 0, 1, 2, 0, 3, 1, 1, 0, 3, 2, 1, 2, 0, 4, 4, 0, 1, 3, 2, 3, 0, 2, 1, 1, 3, 3, 3, 3, 1, 2, 3, 4, 0, 0, 1, 0, 3, 0, 3, 0, 3, 4, 2, 1, 0, 3, 0, 1, 4, 4, 3, 0, 3, 4, 0, 0, 2, 3, 2, 3, 2, 2, 0, 2, 1, 0, 2, 2, 2, 3, 1, 2, 1, 4, 4, 0, 4, 1, 3, 4, 0, 0, 4, 2, 2, 1, 4, 1, 3, 4, 2, 4, 0, 2, 1, 2, 4, 0, 1, 0, 4, 0, 0, 4, 3, 0, 3, 3, 1, 3, 2, 0, 4, 1, 4, 4, 4, 0, 2, 4, 2, 1, 0, 2, 3, 3, 3, 4, 0, 4, 3, 3, 4, 2, 1, 2, 0, 4, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 2, 3, 3, 3, 2, 0, 0, 0, 2, 0, 4, 3, 2, 3, 4, 2, 4, 4, 2, 1, 1, 0, 3, 0, 3, 1, 4, 2, 1, 4, 1, 3, 1, 1, 2, 2, 4, 4, 4, 0, 1, 0, 4, 4, 2, 1, 0, 3, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 2, 2, 3, 2, 1, 3, 4, 1, 4, 3, 2, 0, 1, 4, 0, 4, 0, 4, 0, 3, 4, 3, 3, 4, 2, 0, 1, 4, 2, 4, 1, 0, 2, 4, 2, 0, 3, 0, 4, 3, 1, 2, 2, 0, 0, 2, 0, 3, 4, 3, 3, 2, 2, 3, 3, 2, 4, 3, 1, 1, 4, 3, 1, 3, 1]
pubkeycol852 = [2, 3, 1, 4, 2, 3, 1, 3, 0, 1, 2, 1, 4, 4, 2, 1, 2, 4, 3, 2, 4, 3, 4, 3, 2, 2, 2, 1, 1, 2, 1, 3, 4, 3, 1, 2, 0, 2, 3, 1, 2, 0, 0, 1, 4, 4, 1, 0, 0, 1, 0, 4, 0, 2, 4, 4, 3, 2, 4, 0, 4, 4, 0, 4, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 3, 4, 2, 3, 4, 0, 3, 1, 4, 4, 3, 2, 3, 3, 3, 1, 3, 2, 3, 0, 4, 3, 2, 1, 1, 4, 1, 3, 2, 3, 2, 0, 3, 4, 4, 2, 2, 2, 3, 3, 1, 2, 0, 2, 0, 2, 1, 4, 1, 2, 3, 4, 1, 4, 0, 1, 4, 1, 0, 0, 1, 3, 2, 1, 3, 1, 1, 2, 0, 1, 2, 1, 4, 4, 1, 0, 4, 0, 0, 3, 2, 2, 1, 0, 3, 1, 4, 1, 2, 2, 2, 4, 0, 2, 0, 3, 3, 3, 0, 1, 1, 1, 0, 3, 1, 1, 1, 4, 2, 1, 4, 1, 1, 2, 3, 4, 3, 0, 0, 2, 3, 2, 0, 1, 1, 3, 2, 2, 3, 0, 3, 2, 1, 0, 2, 0, 3, 4, 0, 2, 0, 4, 0, 4, 4, 4, 4, 4, 1, 3, 4, 1, 2, 1, 0, 2, 3, 4, 4, 0, 3, 2, 1, 4, 1, 3, 3, 0, 4, 4, 3, 3, 2, 0, 3, 3, 1, 4, 2, 4, 0, 3, 0, 3, 4, 3, 0, 2, 4, 4, 1, 3, 1, 1, 2, 2, 1, 2, 3, 3, 3, 4, 1, 4, 4, 4, 4, 1, 0, 0, 1, 1, 2, 3, 3, 3, 3, 0, 3, 1, 0, 3, 0, 3, 0, 3, 1, 2, 2, 1, 1, 3, 4, 4, 0, 0, 0, 0, 3, 1, 0, 3, 4, 2, 0, 0]
pubkeycol853 = [1, 4, 3, 1, 4, 0, 2, 2, 3, 0, 4, 4, 2, 3, 3, 0, 4, 2, 4, 1, 3, 4, 4, 4, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 4, 3, 4, 4, 3, 2, 1, 0, 1, 1, 1, 4, 0, 2, 1, 3, 2, 3, 0, 3, 2, 4, 4, 1, 0, 3, 1, 1, 2, 2, 0, 3, 4, 0, 2, 0, 4, 2, 4, 3, 0, 3, 0, 1, 1, 1, 4, 1, 0, 4, 3, 3, 2, 2, 4, 3, 1, 3, 4, 0, 2, 0, 4, 0, 2, 2, 3, 1, 3, 3, 0, 3, 3, 2, 3, 2, 3, 0, 1, 4, 4, 2, 1, 1, 0, 1, 4, 4, 3, 3, 1, 0, 0, 4, 2, 0, 4, 2, 2, 3, 3, 1, 0, 4, 4, 3, 1, 4, 0, 0, 4, 1, 0, 0, 3, 1, 3, 3, 0, 3, 4, 4, 3, 4, 4, 0, 0, 0, 4, 1, 0, 0, 0, 2, 2, 4, 2, 1, 3, 2, 0, 1, 3, 0, 2, 0, 1, 2, 2, 3, 1, 0, 1, 0, 4, 2, 2, 1, 0, 4, 2, 4, 4, 1, 4, 2, 3, 4, 0, 0, 4, 3, 3, 3, 4, 0, 3, 2, 0, 0, 2, 3, 4, 3, 4, 3, 4, 2, 3, 2, 4, 1, 0, 0, 2, 2, 2, 3, 0, 2, 2, 0, 0, 0, 0, 0, 4, 1, 1, 3, 0, 0, 3, 1, 1, 3, 4, 1, 2, 0, 0, 2, 2, 2, 0, 3, 2, 1, 0, 4, 3, 3, 3, 3, 0, 2, 1, 1, 3, 3, 1, 0, 0, 4, 0, 3, 3, 4, 1, 0, 3, 0, 4, 2, 3, 0, 2, 3, 0, 4, 3, 2, 0, 0, 1, 3, 2, 4, 3, 3, 4, 4, 2, 3, 2, 4, 4, 1, 4, 2, 0, 1, 2]
pubkeycol854 = [3, 4, 3, 0, 2, 0, 4, 2, 4, 1, 0, 2, 3, 3, 3, 1, 2, 3, 1, 4, 2, 1, 4, 1, 1, 4, 0, 4, 1, 4, 2, 2, 3, 0, 2, 0, 1, 2, 4, 3, 3, 4, 4, 2, 4, 4, 2, 3, 4, 2, 3, 4, 1, 3, 4, 4, 1, 4, 2, 4, 1, 2, 0, 3, 1, 4, 4, 3, 0, 4, 0, 2, 1, 3, 3, 3, 3, 1, 2, 1, 1, 2, 2, 2, 4, 3, 4, 0, 0, 0, 1, 2, 4, 3, 4, 3, 4, 1, 1, 0, 2, 4, 3, 1, 2, 2, 1, 2, 2, 1, 4, 0, 2, 1, 0, 1, 3, 1, 4, 1, 1, 4, 3, 0, 0, 4, 3, 1, 3, 2, 1, 4, 2, 4, 3, 4, 3, 2, 4, 3, 2, 4, 1, 2, 3, 4, 1, 1, 1, 2, 2, 3, 1, 4, 2, 0, 0, 0, 2, 4, 0, 4, 4, 3, 2, 1, 2, 0, 4, 2, 4, 3, 3, 1, 0, 3, 4, 0, 1, 4, 1, 2, 0, 0, 4, 3, 3, 4, 3, 4, 2, 0, 0, 2, 0, 0, 2, 1, 0, 4, 0, 4, 2, 3, 2, 4, 1, 1, 1, 0, 1, 2, 1, 3, 4, 2, 0, 0, 1, 4, 2, 4, 0, 2, 2, 0, 1, 0, 0, 3, 0, 2, 1, 2, 2, 0, 1, 1, 3, 3, 0, 0, 3, 1, 0, 0, 2, 0, 2, 2, 4, 3, 3, 4, 2, 2, 2, 0, 0, 3, 3, 3, 2, 4, 3, 3, 0, 3, 3, 3, 3, 4, 4, 1, 0, 2, 4, 3, 0, 0, 0, 4, 1, 2, 0, 1, 4, 2, 1, 0, 0, 1, 0, 2, 3, 1, 0, 2, 4, 3, 2, 1, 3, 1, 4, 4, 1, 0, 3, 0, 4, 0, 4, 0, 0, 4, 0, 3, 0, 0]
pubkeycol855 = [0, 0, 1, 3, 4, 2, 2, 0, 4, 2, 2, 3, 0, 2, 0, 1, 1, 1, 4, 2, 3, 0, 1, 1, 3, 0, 0, 4, 1, 1, 1, 3, 2, 2, 0, 0, 1, 0, 3, 0, 4, 0, 4, 1, 4, 2, 4, 1, 0, 4, 0, 1, 3, 3, 4, 3, 0, 2, 2, 2, 2, 2, 2, 0, 4, 2, 4, 2, 4, 4, 0, 2, 1, 3, 4, 1, 4, 0, 4, 1, 3, 0, 2, 3, 2, 1, 3, 1, 4, 1, 0, 3, 3, 0, 3, 3, 3, 4, 2, 0, 4, 4, 4, 0, 0, 0, 0, 3, 2, 2, 4, 4, 2, 3, 1, 4, 1, 2, 2, 1, 4, 4, 2, 3, 4, 3, 3, 2, 4, 1, 2, 3, 1, 4, 4, 1, 1, 1, 3, 2, 1, 2, 3, 2, 4, 4, 3, 1, 4, 0, 4, 2, 1, 4, 3, 4, 4, 3, 0, 3, 0, 0, 0, 3, 2, 2, 3, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 3, 3, 3, 2, 2, 1, 4, 4, 0, 2, 4, 4, 2, 1, 2, 3, 1, 0, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 4, 2, 2, 4, 4, 1, 1, 2, 1, 0, 2, 1, 2, 2, 3, 4, 1, 2, 4, 3, 4, 3, 3, 4, 3, 2, 0, 4, 1, 4, 2, 2, 4, 0, 2, 0, 0, 4, 0, 0, 2, 2, 4, 1, 4, 2, 4, 2, 4, 2, 4, 3, 2, 4, 4, 1, 2, 3, 1, 0, 1, 4, 0, 2, 4, 2, 4, 3, 2, 1, 0, 1, 0, 4, 2, 1, 2, 3, 0, 0, 0, 1, 2, 0, 0, 0, 2, 4, 1, 4, 0, 0, 2, 3, 2, 1, 0, 2, 1, 4, 2, 2, 4, 1, 0, 2, 1, 3, 1, 1, 4, 1]
pubkeycol856 = [4, 4, 1, 3, 2, 4, 0, 4, 2, 0, 3, 1, 3, 2, 3, 0, 2, 0, 0, 4, 3, 0, 4, 3, 2, 0, 0, 3, 3, 0, 4, 4, 4, 0, 2, 4, 4, 2, 3, 1, 4, 4, 3, 1, 3, 1, 2, 0, 1, 1, 3, 0, 1, 0, 1, 2, 0, 1, 3, 3, 3, 3, 2, 4, 2, 2, 3, 3, 4, 3, 4, 0, 0, 3, 1, 4, 1, 4, 1, 1, 4, 3, 4, 1, 4, 3, 2, 1, 0, 0, 0, 4, 2, 3, 4, 1, 2, 1, 2, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 4, 4, 4, 1, 1, 4, 3, 0, 1, 3, 2, 3, 2, 4, 0, 1, 1, 0, 3, 2, 2, 2, 1, 4, 3, 1, 4, 3, 1, 3, 3, 4, 0, 2, 1, 3, 1, 4, 3, 2, 0, 4, 3, 2, 4, 4, 2, 4, 3, 3, 4, 0, 4, 4, 1, 2, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 3, 2, 4, 1, 3, 4, 3, 2, 0, 3, 0, 3, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 4, 4, 3, 3, 0, 1, 0, 1, 1, 1, 0, 1, 4, 0, 1, 4, 0, 3, 2, 0, 1, 0, 3, 3, 3, 2, 2, 3, 1, 3, 0, 1, 0, 4, 4, 0, 1, 2, 1, 2, 2, 4, 1, 3, 1, 0, 3, 2, 0, 1, 1, 4, 2, 1, 2, 4, 2, 4, 1, 3, 3, 0, 4, 2, 1, 2, 2, 1, 3, 1, 2, 4, 3, 0, 2, 2, 4, 1, 4, 2, 2, 1, 4, 3, 4, 2, 3, 4, 2, 3, 4, 0, 0, 2, 2, 4, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 3, 1, 2, 3, 4, 0, 3, 2, 0, 1, 3, 4, 4, 2, 1]
pubkeycol857 = [2, 2, 3, 0, 2, 0, 1, 1, 3, 2, 0, 0, 1, 1, 1, 3, 0, 2, 4, 4, 3, 2, 0, 1, 1, 2, 0, 4, 2, 2, 3, 3, 1, 1, 4, 3, 2, 4, 3, 0, 0, 0, 3, 0, 1, 2, 1, 3, 4, 2, 2, 1, 2, 4, 0, 4, 0, 2, 3, 0, 0, 2, 3, 3, 3, 1, 1, 3, 1, 1, 4, 1, 0, 3, 4, 2, 1, 0, 4, 1, 2, 0, 0, 2, 2, 3, 2, 4, 3, 1, 4, 4, 2, 3, 0, 2, 3, 0, 0, 2, 0, 3, 0, 3, 4, 1, 2, 1, 4, 2, 4, 1, 2, 3, 3, 1, 4, 4, 1, 0, 1, 3, 3, 3, 4, 0, 1, 2, 2, 2, 1, 4, 2, 0, 3, 0, 1, 4, 2, 0, 3, 4, 4, 4, 0, 2, 3, 1, 3, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 4, 3, 0, 4, 3, 1, 4, 4, 3, 2, 1, 4, 0, 0, 4, 2, 3, 2, 3, 0, 3, 1, 2, 1, 3, 1, 2, 4, 2, 1, 3, 2, 1, 2, 4, 0, 1, 3, 1, 0, 1, 0, 2, 1, 3, 4, 2, 2, 2, 2, 2, 0, 3, 4, 1, 2, 0, 1, 2, 1, 0, 3, 0, 0, 3, 3, 3, 4, 2, 0, 3, 2, 1, 0, 3, 1, 2, 4, 0, 0, 2, 3, 3, 2, 4, 0, 4, 2, 4, 0, 1, 4, 2, 1, 0, 1, 0, 1, 3, 0, 3, 4, 2, 1, 2, 0, 2, 0, 4, 2, 4, 3, 2, 1, 0, 0, 3, 0, 2, 1, 4, 1, 2, 1, 4, 0, 4, 0, 2, 0, 1, 2, 1, 1, 4, 3, 4, 1, 1, 2, 1, 3, 0, 0, 0, 4, 2, 2, 4, 1, 0, 1, 3, 2, 0, 0, 4, 2, 4, 4, 0]
pubkeycol858 = [3, 2, 4, 2, 1, 3, 0, 0, 2, 0, 0, 4, 4, 2, 2, 2, 1, 0, 1, 3, 1, 1, 2, 2, 3, 2, 0, 2, 3, 3, 1, 1, 1, 4, 3, 2, 0, 3, 4, 1, 1, 2, 3, 2, 3, 1, 2, 1, 2, 4, 0, 3, 2, 3, 0, 2, 4, 2, 1, 4, 3, 4, 4, 0, 3, 3, 3, 4, 1, 4, 2, 2, 2, 0, 3, 3, 2, 3, 0, 0, 4, 2, 2, 3, 0, 2, 4, 2, 4, 0, 4, 3, 4, 1, 3, 0, 1, 4, 1, 3, 4, 3, 1, 0, 3, 0, 1, 0, 2, 0, 4, 3, 2, 1, 2, 3, 3, 1, 3, 1, 1, 4, 2, 4, 0, 3, 1, 2, 2, 4, 0, 4, 2, 3, 2, 2, 4, 1, 0, 0, 4, 0, 3, 1, 4, 1, 3, 1, 1, 1, 3, 4, 3, 3, 4, 1, 1, 0, 3, 0, 0, 2, 1, 4, 3, 0, 3, 4, 1, 1, 4, 0, 2, 2, 4, 3, 0, 1, 3, 2, 3, 3, 4, 3, 3, 3, 0, 3, 3, 4, 4, 4, 1, 2, 4, 1, 0, 3, 4, 2, 3, 4, 4, 4, 4, 3, 4, 1, 2, 2, 1, 3, 4, 1, 3, 2, 0, 4, 3, 4, 3, 0, 1, 3, 1, 3, 1, 2, 0, 4, 3, 3, 3, 4, 1, 4, 3, 4, 2, 3, 1, 1, 2, 1, 3, 4, 0, 2, 4, 1, 3, 2, 4, 0, 4, 2, 1, 0, 4, 0, 3, 3, 2, 3, 4, 4, 4, 0, 2, 2, 2, 4, 0, 4, 3, 3, 4, 0, 3, 3, 1, 3, 4, 1, 0, 2, 4, 0, 3, 0, 2, 1, 2, 2, 0, 2, 0, 3, 4, 2, 4, 0, 1, 4, 4, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 4, 2]
pubkeycol859 = [1, 0, 1, 2, 2, 1, 0, 4, 3, 0, 2, 2, 2, 1, 0, 1, 1, 4, 1, 2, 4, 1, 2, 2, 0, 0, 0, 3, 0, 2, 4, 3, 0, 4, 2, 3, 1, 2, 4, 4, 3, 3, 2, 4, 2, 1, 2, 1, 3, 3, 2, 4, 3, 1, 4, 0, 3, 0, 1, 4, 3, 3, 2, 0, 4, 2, 3, 2, 0, 2, 2, 0, 1, 4, 1, 0, 4, 3, 0, 4, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 1, 3, 1, 3, 2, 3, 2, 2, 0, 0, 2, 4, 1, 0, 0, 3, 3, 3, 0, 4, 1, 2, 0, 3, 0, 3, 1, 3, 4, 4, 1, 1, 4, 3, 4, 1, 2, 4, 0, 4, 4, 1, 2, 1, 0, 1, 1, 4, 3, 3, 0, 2, 1, 2, 2, 1, 4, 3, 3, 1, 1, 2, 1, 0, 1, 1, 3, 3, 0, 0, 3, 0, 1, 2, 0, 0, 0, 4, 0, 1, 0, 0, 3, 0, 4, 2, 1, 2, 2, 3, 1, 3, 0, 4, 3, 3, 4, 3, 0, 3, 0, 4, 1, 0, 3, 4, 0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 1, 4, 2, 2, 0, 4, 4, 1, 0, 4, 2, 4, 0, 0, 1, 2, 3, 2, 2, 0, 4, 1, 1, 3, 3, 1, 0, 1, 4, 0, 1, 1, 0, 1, 2, 4, 0, 0, 4, 3, 2, 4, 2, 0, 0, 3, 3, 4, 3, 0, 4, 2, 3, 2, 4, 2, 3, 0, 0, 4, 4, 2, 0, 3, 1, 2, 4, 1, 3, 1, 0, 2, 1, 1, 2, 2, 0, 1, 3, 4, 0, 1, 0, 1, 4, 4, 0, 0, 4, 2, 3, 1, 3, 2, 1, 2, 3, 4, 4, 3, 1, 3, 4, 3, 0, 2, 3, 3, 3, 3, 3, 1, 3, 3]
pubkeycol860 = [2, 2, 4, 0, 0, 3, 1, 2, 2, 0, 4, 4, 4, 0, 3, 0, 1, 0, 0, 2, 1, 4, 4, 0, 4, 2, 2, 3, 3, 4, 2, 0, 0, 1, 3, 2, 1, 3, 3, 1, 0, 3, 1, 0, 1, 4, 1, 1, 1, 1, 1, 4, 2, 0, 0, 0, 0, 1, 3, 2, 1, 1, 2, 2, 4, 0, 3, 3, 0, 3, 1, 4, 3, 0, 2, 3, 3, 4, 1, 1, 1, 4, 2, 3, 2, 2, 4, 4, 4, 3, 4, 2, 4, 4, 0, 2, 1, 4, 3, 4, 1, 3, 3, 0, 4, 2, 3, 1, 0, 0, 1, 1, 4, 3, 4, 0, 1, 1, 4, 2, 0, 1, 3, 2, 3, 0, 2, 0, 1, 2, 3, 2, 2, 3, 1, 2, 0, 2, 4, 4, 1, 2, 2, 4, 4, 2, 4, 2, 0, 3, 0, 0, 0, 2, 1, 1, 2, 0, 3, 1, 2, 0, 2, 2, 4, 4, 4, 2, 0, 1, 1, 2, 4, 0, 1, 1, 2, 4, 0, 3, 0, 1, 0, 4, 4, 4, 0, 1, 0, 0, 3, 3, 1, 3, 4, 0, 3, 1, 0, 1, 2, 0, 1, 2, 4, 1, 2, 0, 0, 2, 3, 2, 1, 1, 1, 1, 4, 3, 2, 0, 1, 1, 4, 0, 1, 2, 1, 2, 1, 1, 0, 4, 4, 1, 0, 3, 1, 2, 2, 1, 0, 2, 2, 0, 4, 2, 0, 3, 0, 0, 0, 3, 3, 3, 1, 1, 3, 3, 0, 1, 4, 2, 2, 1, 2, 0, 4, 4, 2, 3, 2, 1, 4, 3, 3, 3, 4, 0, 1, 0, 1, 1, 4, 4, 1, 1, 1, 4, 2, 0, 4, 4, 0, 3, 4, 1, 4, 2, 1, 1, 1, 4, 0, 3, 3, 3, 0, 0, 1, 3, 1, 1, 4, 1, 3, 0, 2, 3, 3, 2]
pubkeycol861 = [0, 1, 4, 0, 3, 3, 3, 1, 0, 1, 4, 0, 0, 0, 4, 2, 2, 1, 0, 4, 1, 2, 1, 2, 4, 3, 2, 0, 1, 1, 3, 1, 1, 0, 4, 4, 2, 4, 3, 0, 1, 0, 4, 4, 2, 1, 1, 2, 3, 0, 0, 4, 1, 4, 2, 0, 2, 0, 3, 2, 0, 1, 4, 0, 2, 3, 0, 3, 0, 1, 0, 0, 3, 0, 4, 0, 1, 2, 3, 4, 4, 1, 2, 1, 4, 3, 0, 4, 2, 0, 1, 3, 4, 2, 0, 2, 2, 3, 2, 1, 3, 0, 3, 2, 1, 2, 0, 0, 3, 1, 4, 2, 1, 0, 2, 1, 2, 1, 4, 1, 3, 3, 1, 0, 4, 4, 3, 0, 4, 4, 4, 2, 4, 4, 3, 4, 3, 1, 0, 2, 2, 3, 1, 2, 3, 2, 3, 1, 1, 3, 4, 1, 3, 2, 0, 0, 3, 3, 3, 3, 3, 4, 1, 4, 3, 1, 1, 4, 4, 3, 0, 3, 4, 3, 3, 0, 1, 2, 4, 1, 2, 1, 2, 1, 0, 3, 3, 2, 0, 1, 2, 4, 2, 0, 2, 1, 0, 3, 2, 2, 1, 3, 2, 4, 2, 3, 4, 0, 2, 2, 2, 3, 1, 0, 2, 1, 3, 4, 0, 2, 4, 4, 3, 0, 1, 1, 3, 2, 1, 2, 4, 3, 3, 2, 0, 1, 4, 2, 4, 1, 4, 0, 1, 0, 2, 0, 0, 4, 4, 1, 2, 2, 3, 4, 2, 0, 1, 4, 3, 1, 1, 4, 3, 0, 3, 2, 2, 0, 2, 3, 3, 4, 3, 3, 4, 3, 4, 1, 2, 0, 0, 4, 4, 4, 3, 1, 3, 1, 1, 1, 4, 2, 0, 4, 4, 1, 1, 3, 3, 4, 4, 0, 1, 1, 3, 4, 2, 1, 3, 1, 0, 4, 1, 2, 3, 4, 3, 1, 2, 1]
pubkeycol862 = [4, 4, 0, 1, 0, 1, 4, 3, 1, 4, 4, 1, 1, 4, 1, 1, 4, 3, 1, 4, 2, 2, 2, 1, 2, 3, 4, 2, 3, 4, 1, 1, 2, 4, 2, 3, 3, 0, 3, 1, 0, 2, 2, 0, 4, 3, 0, 0, 0, 1, 3, 3, 1, 1, 4, 3, 1, 3, 4, 3, 4, 0, 1, 0, 3, 3, 0, 2, 1, 1, 1, 4, 0, 3, 3, 0, 0, 4, 1, 1, 0, 0, 2, 3, 0, 2, 4, 4, 3, 4, 1, 1, 3, 4, 0, 1, 4, 3, 3, 2, 0, 0, 3, 3, 4, 4, 2, 0, 2, 2, 1, 2, 1, 3, 1, 4, 2, 2, 3, 3, 4, 3, 1, 0, 2, 0, 3, 2, 0, 2, 4, 4, 4, 0, 4, 2, 0, 1, 4, 0, 1, 1, 1, 2, 1, 4, 4, 0, 4, 1, 0, 0, 2, 2, 3, 3, 2, 4, 2, 1, 0, 1, 3, 2, 4, 3, 4, 4, 0, 2, 2, 1, 2, 1, 3, 3, 0, 0, 0, 4, 4, 3, 4, 4, 3, 2, 3, 0, 2, 0, 3, 3, 2, 2, 1, 0, 1, 1, 0, 4, 0, 1, 1, 0, 3, 4, 2, 0, 3, 3, 0, 1, 2, 0, 1, 1, 0, 1, 3, 4, 4, 4, 3, 4, 1, 0, 4, 3, 2, 3, 3, 4, 1, 2, 0, 0, 0, 1, 4, 2, 4, 1, 3, 1, 4, 0, 0, 4, 1, 4, 3, 2, 2, 4, 1, 3, 1, 4, 4, 4, 2, 3, 3, 4, 1, 3, 2, 0, 1, 2, 4, 4, 0, 1, 2, 4, 1, 2, 3, 4, 4, 3, 1, 1, 4, 0, 3, 2, 3, 0, 4, 4, 1, 3, 2, 4, 3, 3, 3, 3, 1, 2, 3, 2, 3, 4, 1, 3, 0, 4, 0, 1, 1, 3, 1, 2, 3, 1, 4, 0]
pubkeycol863 = [0, 2, 2, 0, 2, 4, 2, 4, 1, 1, 4, 4, 2, 0, 0, 1, 4, 3, 4, 3, 0, 4, 3, 0, 2, 0, 3, 3, 3, 0, 1, 4, 3, 2, 4, 1, 1, 4, 2, 1, 2, 0, 0, 3, 4, 3, 2, 0, 2, 3, 4, 0, 2, 0, 4, 0, 0, 4, 1, 4, 0, 3, 2, 0, 3, 3, 0, 0, 0, 2, 4, 3, 1, 3, 3, 0, 4, 1, 2, 2, 0, 4, 1, 2, 2, 2, 1, 4, 3, 4, 1, 2, 3, 2, 0, 1, 2, 2, 2, 3, 2, 3, 2, 0, 4, 0, 1, 2, 2, 3, 1, 0, 2, 4, 2, 2, 2, 2, 2, 4, 1, 3, 3, 4, 4, 4, 0, 3, 0, 2, 0, 3, 3, 2, 2, 3, 2, 4, 1, 1, 2, 0, 2, 2, 1, 3, 0, 0, 2, 2, 4, 3, 0, 1, 3, 3, 2, 1, 3, 3, 2, 2, 3, 0, 1, 3, 3, 4, 4, 1, 2, 1, 4, 1, 4, 3, 1, 4, 0, 1, 4, 2, 2, 3, 4, 3, 3, 2, 4, 2, 0, 3, 0, 3, 2, 0, 2, 0, 3, 1, 4, 2, 2, 4, 0, 4, 4, 2, 1, 1, 0, 4, 2, 1, 2, 3, 4, 2, 4, 3, 0, 4, 1, 2, 2, 3, 3, 0, 4, 0, 4, 0, 2, 1, 3, 1, 1, 3, 4, 1, 3, 3, 0, 3, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 4, 1, 4, 4, 4, 4, 1, 0, 4, 2, 3, 0, 1, 0, 3, 3, 2, 4, 1, 1, 3, 0, 2, 3, 2, 1, 1, 4, 1, 0, 1, 1, 1, 4, 1, 0, 2, 4, 1, 2, 3, 4, 1, 1, 0, 3, 2, 1, 2, 4, 3, 0, 4, 2, 2, 1, 4, 0, 2, 3, 2, 0, 0, 1]
pubkeycol864 = [1, 0, 4, 0, 4, 3, 2, 4, 2, 0, 0, 3, 1, 1, 0, 2, 1, 3, 3, 3, 0, 2, 3, 1, 0, 3, 1, 1, 0, 4, 4, 4, 4, 0, 2, 0, 2, 4, 0, 2, 1, 1, 2, 3, 0, 3, 0, 2, 0, 0, 4, 1, 0, 3, 3, 0, 0, 1, 3, 3, 0, 3, 1, 3, 0, 4, 0, 3, 4, 2, 4, 0, 3, 3, 0, 0, 1, 1, 4, 2, 2, 1, 2, 2, 0, 0, 2, 1, 3, 0, 0, 4, 0, 2, 4, 3, 4, 3, 3, 0, 4, 4, 2, 4, 2, 3, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 4, 4, 1, 3, 1, 4, 2, 2, 0, 2, 4, 2, 1, 3, 4, 3, 2, 0, 2, 4, 1, 1, 1, 0, 3, 0, 0, 0, 2, 1, 3, 1, 1, 1, 2, 2, 1, 3, 4, 3, 0, 4, 2, 3, 2, 0, 0, 4, 1, 4, 0, 3, 2, 3, 2, 2, 4, 2, 4, 1, 2, 4, 2, 2, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 4, 2, 4, 3, 4, 4, 3, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 4, 0, 3, 2, 2, 4, 2, 4, 3, 4, 1, 0, 3, 3, 3, 2, 2, 3, 4, 4, 2, 3, 1, 2, 1, 4, 2, 3, 1, 0, 4, 2, 4, 0, 2, 4, 0, 3, 1, 4, 0, 1, 3, 2, 2, 2, 0, 2, 3, 4, 0, 1, 4, 0, 4, 2, 0, 4, 3, 0, 2, 3, 3, 0, 4, 4, 3, 4, 0, 4, 4, 4, 4, 2, 2, 4, 1, 4, 0, 4, 1, 1, 3, 1, 3, 4, 2, 2, 4, 0, 0, 0, 3, 2]
pubkeycol865 = [4, 4, 0, 0, 2, 3, 4, 4, 4, 2, 2, 2, 1, 3, 0, 3, 4, 2, 2, 4, 0, 1, 2, 2, 2, 2, 4, 1, 1, 2, 3, 3, 0, 2, 4, 2, 4, 1, 0, 1, 4, 2, 1, 3, 3, 4, 2, 4, 2, 0, 2, 2, 3, 2, 0, 4, 2, 4, 4, 0, 3, 0, 3, 4, 0, 0, 4, 2, 4, 0, 0, 1, 0, 0, 1, 0, 3, 3, 3, 2, 3, 4, 4, 1, 2, 3, 1, 3, 3, 4, 4, 3, 3, 0, 0, 4, 2, 4, 3, 0, 4, 2, 0, 2, 2, 0, 1, 2, 1, 4, 2, 0, 0, 2, 3, 4, 0, 0, 2, 1, 3, 3, 1, 4, 3, 0, 0, 4, 2, 1, 1, 0, 3, 4, 2, 0, 2, 4, 1, 1, 0, 0, 3, 4, 1, 4, 1, 3, 1, 0, 3, 3, 0, 4, 0, 1, 1, 4, 4, 2, 3, 1, 3, 3, 2, 0, 2, 3, 3, 3, 3, 1, 4, 0, 2, 3, 2, 4, 3, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 4, 0, 1, 1, 3, 4, 2, 4, 2, 2, 3, 1, 1, 2, 1, 0, 3, 3, 0, 1, 4, 2, 0, 0, 1, 1, 1, 4, 3, 4, 1, 3, 3, 1, 3, 1, 1, 4, 0, 0, 1, 0, 3, 2, 3, 0, 2, 1, 1, 4, 4, 3, 4, 0, 4, 3, 4, 1, 3, 1, 0, 3, 0, 1, 4, 4, 3, 2, 2, 4, 0, 2, 2, 1, 0, 1, 4, 4, 2, 3, 1, 2, 0, 4, 3, 1, 4, 1, 3, 4, 2, 1, 4, 4, 4, 3, 2, 3, 4, 0, 2, 1, 2, 4, 1, 3, 0, 3, 4, 1, 0, 3, 0, 4, 2, 3, 4, 4, 0, 4, 4, 4, 3, 4, 1, 1, 4, 1]
pubkeycol866 = [2, 1, 3, 3, 2, 1, 3, 2, 3, 4, 2, 0, 0, 2, 3, 2, 4, 4, 4, 1, 0, 4, 2, 1, 0, 4, 2, 4, 2, 1, 2, 0, 0, 1, 4, 1, 4, 0, 2, 0, 1, 2, 2, 0, 2, 4, 1, 0, 4, 2, 1, 0, 2, 1, 3, 3, 4, 0, 0, 3, 0, 0, 2, 1, 3, 4, 3, 0, 4, 1, 0, 2, 0, 3, 1, 2, 3, 3, 0, 0, 1, 4, 1, 3, 3, 1, 2, 4, 2, 1, 1, 1, 3, 4, 0, 2, 1, 4, 3, 3, 4, 0, 4, 2, 0, 0, 2, 2, 1, 4, 2, 0, 0, 2, 4, 0, 2, 1, 2, 3, 3, 4, 3, 4, 2, 3, 2, 2, 0, 2, 3, 3, 0, 3, 3, 3, 0, 0, 2, 4, 0, 2, 0, 4, 3, 4, 1, 4, 0, 1, 2, 0, 4, 1, 2, 4, 2, 0, 4, 0, 4, 1, 4, 0, 3, 0, 2, 1, 1, 2, 2, 4, 3, 1, 1, 4, 4, 2, 2, 1, 1, 4, 1, 3, 2, 2, 0, 0, 0, 4, 1, 1, 4, 3, 1, 2, 1, 1, 4, 0, 3, 4, 1, 3, 1, 1, 0, 2, 1, 4, 2, 4, 2, 2, 3, 4, 1, 2, 4, 4, 0, 1, 0, 3, 1, 1, 0, 1, 2, 1, 2, 3, 1, 0, 1, 0, 3, 4, 0, 3, 3, 4, 3, 2, 1, 1, 0, 0, 4, 3, 4, 0, 2, 2, 0, 4, 1, 1, 2, 0, 2, 1, 0, 0, 2, 4, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 3, 1, 0, 3, 3, 0, 1, 3, 2, 3, 2, 2, 3, 3, 0, 2, 1, 1, 3, 1, 2, 0, 3, 4, 2, 2, 0, 4, 4, 1, 4, 2, 3, 1, 1, 3, 1, 0, 4, 1, 1, 4]
pubkeycol867 = [4, 2, 4, 3, 1, 3, 4, 2, 3, 2, 0, 4, 0, 4, 0, 4, 0, 0, 1, 1, 4, 3, 1, 3, 3, 3, 2, 0, 0, 3, 2, 1, 0, 2, 4, 1, 4, 4, 2, 4, 2, 2, 0, 0, 0, 2, 3, 4, 0, 1, 4, 4, 2, 4, 0, 1, 4, 2, 1, 4, 1, 4, 4, 0, 3, 1, 3, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 4, 4, 2, 3, 2, 4, 0, 2, 0, 1, 1, 1, 0, 2, 2, 4, 1, 4, 1, 4, 3, 0, 2, 0, 0, 4, 0, 3, 4, 4, 0, 1, 4, 2, 2, 4, 1, 2, 4, 2, 2, 3, 4, 1, 4, 0, 1, 1, 1, 3, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 4, 1, 4, 0, 0, 0, 4, 3, 2, 4, 4, 0, 2, 2, 0, 3, 4, 2, 0, 4, 0, 4, 3, 2, 2, 1, 2, 4, 0, 4, 1, 1, 4, 2, 0, 0, 2, 3, 2, 2, 3, 4, 4, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 2, 4, 1, 3, 3, 3, 0, 3, 4, 0, 0, 2, 2, 3, 2, 1, 0, 1, 0, 1, 0, 1, 4, 2, 4, 1, 2, 2, 1, 1, 2, 1, 0, 3, 1, 3, 0, 0, 0, 3, 0, 2, 3, 3, 3, 4, 2, 1, 0, 1, 3, 1, 1, 2, 1, 1, 2, 1, 3, 3, 2, 2, 4, 1, 1, 2, 1, 2, 0, 3, 2, 2, 4, 1, 2, 3, 1, 4, 2, 4, 1, 4, 3, 3, 4, 0, 2, 1, 2, 1, 2, 0, 2, 3, 4, 2, 4, 3, 4, 2, 0, 3, 3, 2, 3, 0, 1, 3, 3, 3, 3, 1, 1, 2, 4, 2, 1, 1, 0, 3, 2, 3, 4, 0, 1, 1, 0]
pubkeycol868 = [1, 4, 0, 1, 3, 3, 4, 1, 2, 3, 1, 3, 2, 0, 3, 4, 4, 1, 3, 1, 0, 4, 3, 3, 4, 3, 2, 4, 1, 3, 3, 4, 2, 0, 4, 1, 0, 2, 2, 0, 4, 4, 0, 1, 4, 2, 1, 0, 4, 3, 1, 2, 3, 1, 1, 0, 3, 1, 0, 3, 0, 0, 4, 0, 0, 0, 2, 1, 2, 0, 4, 3, 0, 1, 4, 3, 1, 2, 3, 4, 2, 1, 0, 3, 0, 2, 1, 3, 3, 1, 4, 3, 3, 3, 3, 2, 2, 0, 3, 2, 4, 3, 1, 4, 3, 1, 0, 4, 1, 4, 4, 3, 0, 4, 0, 1, 3, 1, 4, 3, 1, 1, 3, 1, 0, 2, 1, 0, 4, 3, 2, 1, 0, 4, 2, 0, 0, 1, 3, 2, 0, 2, 0, 4, 1, 4, 1, 0, 1, 4, 1, 3, 2, 1, 1, 0, 0, 3, 2, 0, 4, 2, 3, 4, 3, 3, 4, 1, 3, 0, 0, 4, 0, 3, 2, 0, 1, 1, 0, 2, 3, 1, 1, 3, 4, 1, 4, 4, 4, 1, 2, 3, 0, 1, 0, 2, 4, 1, 4, 4, 0, 3, 3, 1, 2, 3, 0, 0, 4, 3, 3, 0, 3, 4, 2, 1, 2, 0, 4, 4, 0, 0, 2, 1, 0, 4, 4, 4, 4, 0, 0, 4, 0, 3, 4, 2, 3, 1, 1, 4, 1, 2, 0, 3, 3, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 4, 1, 1, 4, 2, 3, 0, 4, 4, 2, 1, 2, 1, 1, 2, 2, 1, 4, 1, 3, 4, 4, 3, 0, 1, 2, 3, 0, 2, 2, 0, 3, 0, 3, 0, 0, 4, 4, 1, 1, 4, 2, 2, 3, 1, 2, 2, 0, 4, 3, 0, 0, 0, 4, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0]
pubkeycol869 = [2, 3, 3, 0, 3, 1, 3, 2, 3, 2, 4, 3, 3, 2, 4, 3, 1, 0, 3, 4, 0, 1, 4, 2, 0, 0, 2, 0, 1, 3, 3, 3, 3, 1, 2, 3, 0, 1, 0, 0, 1, 3, 4, 2, 0, 4, 1, 3, 4, 1, 4, 3, 0, 1, 1, 1, 4, 0, 0, 4, 3, 0, 2, 0, 0, 2, 4, 2, 3, 2, 2, 4, 4, 0, 0, 3, 0, 4, 0, 0, 0, 1, 4, 3, 0, 0, 2, 1, 1, 2, 1, 3, 0, 3, 0, 0, 1, 3, 3, 4, 1, 0, 1, 0, 1, 2, 4, 4, 4, 3, 1, 2, 0, 2, 3, 1, 1, 4, 3, 0, 3, 4, 4, 3, 2, 3, 4, 0, 4, 3, 1, 1, 0, 0, 0, 3, 2, 0, 0, 1, 4, 2, 3, 1, 3, 4, 0, 0, 3, 2, 1, 4, 2, 1, 2, 2, 1, 0, 0, 0, 4, 3, 0, 3, 4, 2, 4, 0, 4, 0, 0, 3, 1, 1, 0, 2, 0, 1, 1, 4, 3, 1, 3, 1, 2, 4, 4, 2, 4, 1, 2, 3, 3, 3, 1, 0, 1, 4, 2, 2, 0, 0, 4, 2, 1, 1, 2, 1, 2, 2, 4, 2, 2, 2, 0, 2, 2, 1, 3, 3, 4, 0, 1, 0, 2, 2, 3, 1, 1, 0, 3, 2, 2, 3, 1, 4, 0, 2, 4, 0, 4, 0, 4, 0, 1, 3, 1, 1, 0, 4, 0, 0, 3, 0, 0, 0, 2, 0, 0, 2, 3, 3, 0, 1, 1, 1, 4, 0, 1, 2, 2, 3, 0, 3, 3, 0, 2, 2, 3, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 2, 1, 1, 2, 4, 1, 1, 2, 0, 3, 1, 0, 4, 3, 4, 0, 1, 3, 1, 3, 3, 1, 4, 1, 2, 1, 1, 3, 0, 1]
pubkeycol870 = [0, 1, 0, 2, 4, 3, 4, 3, 2, 0, 1, 3, 3, 1, 0, 0, 2, 0, 0, 1, 4, 3, 0, 0, 4, 2, 3, 2, 4, 3, 2, 3, 2, 0, 2, 2, 3, 2, 0, 1, 0, 0, 0, 0, 0, 1, 3, 2, 3, 0, 4, 0, 3, 0, 3, 0, 3, 4, 3, 0, 1, 1, 3, 2, 2, 1, 3, 1, 3, 4, 2, 2, 0, 3, 2, 4, 4, 1, 0, 2, 3, 4, 0, 3, 3, 1, 4, 3, 1, 2, 3, 1, 0, 0, 4, 4, 0, 3, 0, 1, 0, 0, 0, 4, 3, 1, 4, 1, 4, 1, 4, 2, 4, 2, 3, 3, 2, 1, 2, 4, 4, 4, 2, 0, 1, 0, 2, 4, 4, 0, 1, 3, 3, 0, 1, 4, 1, 3, 1, 1, 2, 1, 3, 4, 0, 2, 4, 3, 1, 1, 4, 3, 2, 2, 4, 4, 1, 0, 3, 1, 3, 2, 1, 0, 3, 2, 1, 0, 1, 3, 4, 2, 4, 0, 4, 4, 2, 2, 4, 4, 1, 0, 1, 2, 1, 1, 3, 4, 0, 4, 0, 3, 1, 4, 3, 2, 3, 0, 2, 2, 1, 1, 1, 1, 2, 4, 2, 1, 4, 4, 2, 1, 3, 1, 4, 2, 0, 0, 1, 0, 2, 2, 3, 4, 4, 3, 2, 0, 1, 0, 0, 1, 1, 2, 3, 4, 3, 4, 3, 0, 3, 0, 3, 2, 1, 3, 1, 3, 2, 4, 3, 3, 0, 0, 4, 1, 1, 3, 3, 0, 2, 0, 4, 4, 1, 0, 4, 2, 1, 3, 3, 2, 0, 0, 3, 3, 1, 2, 0, 1, 4, 3, 4, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 3, 4, 0, 0, 0, 4, 3, 1, 4, 0, 1, 1, 4, 3, 3, 0, 2, 3, 1, 3, 0, 1, 2, 3, 4]
pubkeycol871 = [0, 3, 4, 4, 0, 3, 4, 2, 4, 2, 4, 3, 2, 3, 0, 4, 3, 4, 0, 3, 4, 1, 2, 4, 3, 0, 0, 2, 2, 4, 0, 1, 3, 1, 4, 2, 2, 3, 3, 3, 4, 3, 4, 3, 3, 2, 2, 1, 4, 1, 0, 1, 1, 3, 4, 4, 4, 0, 4, 2, 2, 3, 0, 0, 2, 3, 4, 3, 1, 3, 4, 3, 3, 2, 4, 3, 4, 4, 3, 1, 4, 4, 1, 3, 4, 1, 3, 0, 1, 2, 0, 1, 3, 0, 4, 4, 0, 4, 4, 1, 3, 4, 2, 2, 0, 4, 3, 3, 0, 0, 4, 0, 3, 2, 4, 3, 1, 2, 2, 3, 1, 2, 0, 0, 2, 1, 4, 2, 1, 3, 4, 2, 2, 3, 2, 0, 2, 1, 3, 1, 1, 0, 0, 2, 3, 0, 3, 1, 2, 2, 1, 3, 1, 3, 0, 0, 3, 2, 0, 0, 0, 3, 2, 3, 4, 1, 4, 2, 4, 2, 0, 2, 4, 0, 3, 0, 1, 2, 0, 3, 3, 1, 2, 4, 0, 3, 1, 3, 0, 0, 4, 1, 3, 4, 1, 4, 2, 1, 0, 4, 2, 1, 3, 2, 3, 4, 4, 2, 4, 2, 0, 3, 4, 1, 2, 1, 1, 4, 4, 2, 4, 2, 2, 4, 2, 3, 4, 4, 2, 1, 1, 1, 0, 3, 3, 0, 2, 3, 4, 0, 3, 1, 2, 3, 4, 0, 1, 2, 2, 4, 2, 4, 4, 2, 3, 3, 2, 0, 3, 0, 0, 2, 2, 4, 1, 0, 1, 4, 2, 1, 2, 3, 1, 0, 0, 0, 1, 3, 2, 1, 4, 0, 0, 4, 2, 4, 0, 2, 4, 2, 4, 0, 2, 3, 1, 4, 4, 2, 4, 3, 1, 1, 1, 4, 4, 4, 2, 4, 4, 0, 4, 0, 4, 1, 1, 4, 3, 3, 4, 3]
pubkeycol872 = [2, 1, 2, 0, 4, 3, 4, 3, 0, 4, 1, 0, 4, 2, 3, 4, 3, 3, 2, 3, 3, 4, 4, 0, 4, 4, 4, 2, 4, 3, 1, 1, 1, 0, 4, 2, 1, 1, 4, 1, 2, 0, 2, 0, 4, 0, 4, 2, 1, 3, 4, 3, 1, 1, 2, 4, 0, 2, 0, 0, 0, 0, 3, 1, 4, 4, 2, 4, 0, 2, 4, 3, 3, 3, 1, 2, 1, 0, 2, 2, 2, 3, 0, 3, 4, 3, 4, 3, 4, 4, 2, 4, 1, 4, 4, 4, 0, 4, 0, 4, 1, 0, 0, 1, 0, 3, 2, 1, 0, 0, 3, 3, 3, 1, 0, 2, 0, 1, 3, 0, 0, 4, 4, 2, 1, 4, 4, 4, 4, 0, 4, 1, 3, 4, 3, 2, 4, 0, 4, 4, 2, 0, 4, 1, 0, 3, 2, 3, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 4, 1, 3, 1, 4, 0, 2, 1, 1, 0, 0, 3, 2, 3, 2, 2, 2, 4, 0, 0, 3, 1, 1, 2, 1, 2, 1, 1, 2, 4, 1, 2, 2, 1, 2, 3, 3, 0, 0, 1, 0, 4, 4, 0, 1, 2, 4, 4, 2, 1, 3, 2, 2, 3, 2, 4, 4, 3, 4, 4, 4, 2, 4, 1, 2, 4, 3, 2, 1, 2, 0, 3, 4, 4, 1, 4, 2, 3, 2, 2, 3, 4, 2, 4, 1, 3, 2, 3, 0, 2, 1, 4, 3, 1, 1, 3, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 4, 2, 2, 4, 4, 3, 2, 3, 4, 1, 0, 2, 1, 3, 1, 1, 1, 0, 0, 4, 0, 3, 3, 1, 0, 2, 1, 0, 3, 0, 0, 0, 2, 3, 1, 1, 3, 4, 3, 2, 4, 0, 3, 0, 1, 1, 4, 2, 1, 0, 4, 0, 2, 0, 3, 2]
pubkeycol873 = [1, 4, 4, 0, 0, 0, 1, 1, 3, 4, 1, 4, 0, 4, 1, 0, 3, 0, 3, 1, 3, 0, 2, 0, 1, 2, 3, 4, 1, 3, 1, 2, 2, 4, 3, 3, 1, 4, 2, 0, 2, 2, 1, 3, 3, 1, 0, 2, 0, 0, 3, 2, 0, 3, 2, 4, 4, 2, 3, 1, 0, 0, 0, 3, 2, 0, 2, 1, 2, 4, 1, 1, 0, 3, 3, 4, 2, 4, 3, 2, 1, 1, 4, 1, 2, 0, 0, 0, 2, 2, 3, 4, 3, 1, 3, 0, 1, 3, 1, 0, 2, 4, 2, 1, 4, 1, 2, 1, 4, 0, 3, 2, 1, 3, 3, 4, 3, 4, 1, 0, 3, 0, 3, 3, 3, 2, 4, 3, 4, 3, 1, 2, 0, 4, 4, 1, 3, 1, 3, 0, 1, 1, 3, 3, 4, 2, 4, 1, 3, 4, 0, 3, 2, 2, 3, 2, 2, 3, 0, 0, 3, 4, 4, 3, 2, 3, 0, 1, 3, 1, 1, 4, 2, 3, 4, 0, 3, 1, 0, 2, 0, 3, 4, 1, 4, 4, 1, 3, 3, 0, 3, 0, 3, 2, 4, 3, 1, 4, 4, 1, 4, 0, 4, 2, 0, 1, 0, 2, 2, 3, 1, 4, 2, 2, 1, 3, 4, 4, 4, 0, 1, 4, 3, 2, 0, 3, 0, 1, 4, 0, 1, 4, 2, 1, 4, 0, 1, 2, 3, 0, 4, 2, 1, 1, 2, 2, 3, 0, 1, 4, 1, 3, 3, 3, 0, 2, 1, 4, 0, 2, 4, 0, 4, 3, 1, 3, 4, 3, 2, 1, 4, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 4, 0, 0, 3, 2, 3, 2, 0, 4, 2, 4, 1, 4, 2, 4, 2, 0, 1, 4, 1, 2, 3, 2, 4, 4, 1, 3, 1, 3, 2, 1, 0, 1, 4, 2, 1, 2, 4]
pubkeycol874 = [1, 3, 0, 2, 4, 1, 3, 4, 1, 4, 0, 0, 3, 4, 1, 1, 3, 1, 4, 0, 4, 4, 0, 1, 0, 4, 1, 1, 3, 0, 2, 0, 0, 4, 3, 1, 4, 0, 0, 0, 1, 2, 4, 0, 0, 4, 1, 0, 3, 4, 2, 2, 0, 0, 3, 4, 4, 0, 4, 4, 4, 2, 0, 4, 0, 1, 3, 4, 1, 1, 2, 1, 3, 2, 4, 2, 0, 2, 0, 1, 2, 4, 0, 4, 2, 1, 3, 1, 3, 2, 3, 0, 1, 0, 2, 2, 0, 1, 4, 1, 1, 4, 4, 0, 0, 2, 3, 2, 2, 1, 0, 3, 3, 1, 2, 2, 4, 2, 3, 0, 4, 0, 2, 3, 1, 0, 0, 2, 4, 0, 4, 4, 0, 1, 0, 4, 1, 2, 4, 3, 1, 2, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 0, 2, 4, 4, 2, 4, 0, 0, 3, 3, 1, 0, 2, 0, 3, 0, 0, 2, 3, 4, 4, 0, 4, 0, 2, 4, 0, 1, 3, 3, 0, 3, 1, 1, 0, 1, 3, 2, 0, 1, 1, 4, 1, 1, 4, 3, 3, 0, 2, 0, 0, 3, 3, 0, 0, 0, 4, 0, 1, 0, 0, 2, 0, 3, 0, 4, 2, 3, 3, 3, 4, 3, 1, 4, 4, 0, 1, 2, 3, 4, 0, 3, 3, 4, 4, 2, 0, 0, 1, 3, 2, 2, 4, 2, 4, 4, 1, 0, 1, 1, 2, 0, 2, 0, 3, 0, 4, 1, 4, 2, 4, 1, 2, 2, 2, 0, 1, 2, 4, 1, 3, 1, 0, 4, 1, 0, 1, 4, 3, 3, 1, 4, 2, 4, 3, 2, 1, 0, 1, 0, 4, 4, 4, 1, 0, 2, 1, 0, 4, 0, 4, 3, 0, 2, 4, 1, 4, 3, 2, 3, 1, 3, 1, 0, 1, 2, 4]
pubkeycol875 = [3, 2, 4, 3, 2, 0, 1, 0, 4, 0, 1, 0, 4, 0, 0, 2, 0, 0, 3, 0, 2, 3, 2, 1, 3, 4, 2, 2, 2, 3, 3, 1, 0, 2, 3, 1, 1, 3, 3, 0, 3, 2, 4, 3, 3, 4, 2, 2, 2, 3, 4, 3, 3, 2, 3, 0, 4, 4, 0, 2, 2, 2, 4, 3, 4, 4, 3, 4, 1, 2, 1, 0, 3, 4, 0, 0, 1, 1, 4, 2, 3, 2, 3, 3, 0, 2, 0, 3, 1, 3, 0, 2, 2, 0, 0, 4, 2, 2, 0, 3, 3, 2, 1, 1, 4, 2, 3, 1, 0, 1, 3, 2, 4, 0, 2, 4, 0, 1, 2, 3, 4, 0, 4, 1, 2, 0, 0, 4, 0, 1, 0, 1, 3, 4, 3, 1, 4, 2, 0, 4, 0, 3, 3, 4, 1, 0, 4, 3, 3, 0, 4, 3, 4, 1, 0, 3, 3, 4, 4, 3, 2, 0, 2, 3, 1, 4, 4, 4, 3, 3, 1, 4, 3, 4, 2, 2, 4, 3, 4, 0, 2, 0, 1, 4, 4, 4, 2, 4, 1, 1, 2, 3, 0, 4, 3, 0, 4, 0, 0, 1, 2, 0, 3, 2, 1, 0, 4, 1, 2, 3, 4, 3, 3, 3, 1, 2, 0, 0, 0, 2, 3, 3, 3, 0, 4, 3, 3, 2, 1, 1, 3, 0, 0, 3, 0, 4, 4, 2, 3, 2, 0, 2, 2, 2, 1, 3, 3, 0, 3, 0, 0, 4, 0, 1, 1, 0, 4, 4, 3, 1, 4, 3, 0, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 2, 0, 0, 3, 4, 3, 3, 4, 2, 0, 2, 3, 4, 0, 3, 2, 2, 3, 0, 3, 0, 3, 1, 4, 0, 1, 0, 2, 0, 4, 0, 0, 4, 1, 4, 3, 2, 1, 0, 0, 2, 4, 1, 1, 3]
pubkeycol876 = [2, 0, 3, 3, 3, 2, 1, 2, 3, 3, 3, 3, 4, 3, 1, 1, 0, 3, 0, 1, 1, 2, 3, 1, 0, 0, 3, 1, 0, 1, 1, 2, 4, 3, 2, 0, 4, 1, 4, 2, 0, 1, 3, 4, 2, 3, 4, 4, 4, 0, 4, 3, 3, 3, 1, 0, 2, 0, 4, 3, 2, 3, 2, 1, 3, 4, 0, 1, 4, 4, 2, 1, 2, 1, 3, 3, 3, 2, 2, 4, 0, 0, 2, 1, 4, 3, 4, 1, 1, 4, 4, 2, 0, 0, 0, 3, 4, 0, 1, 0, 0, 3, 3, 4, 0, 3, 3, 4, 1, 4, 2, 3, 4, 3, 4, 0, 1, 2, 1, 0, 4, 3, 0, 3, 1, 1, 2, 4, 0, 1, 0, 3, 1, 2, 1, 3, 0, 0, 2, 1, 4, 2, 3, 1, 3, 2, 0, 1, 4, 0, 1, 2, 4, 1, 0, 1, 4, 0, 4, 0, 0, 0, 1, 2, 0, 1, 3, 0, 0, 0, 4, 2, 3, 4, 4, 0, 0, 2, 0, 3, 4, 0, 1, 3, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 4, 3, 3, 0, 0, 3, 2, 3, 3, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 3, 0, 4, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 2, 0, 4, 0, 2, 3, 1, 1, 3, 3, 0, 3, 1, 2, 1, 0, 1, 1, 3, 0, 4, 1, 1, 3, 1, 0, 3, 1, 1, 4, 0, 4, 0, 4, 2, 3, 2, 2, 0, 3, 1, 1, 0, 3, 0, 1, 3, 1, 3, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 4, 3, 3, 2, 1, 0, 4, 1, 0, 2, 0, 0, 3, 3, 3, 3, 1, 4, 4, 0, 4, 3, 4, 0, 0, 1, 3, 4]
pubkeycol877 = [0, 0, 1, 0, 0, 0, 1, 3, 2, 2, 4, 1, 0, 2, 4, 3, 2, 1, 4, 1, 1, 4, 1, 2, 1, 4, 3, 1, 4, 3, 2, 2, 2, 0, 4, 4, 2, 3, 0, 0, 0, 1, 2, 4, 4, 4, 0, 4, 0, 4, 1, 4, 1, 4, 3, 3, 3, 3, 4, 1, 4, 0, 1, 4, 2, 1, 4, 3, 1, 3, 2, 0, 1, 3, 1, 1, 2, 2, 2, 4, 0, 1, 0, 0, 4, 0, 2, 1, 4, 3, 1, 3, 1, 0, 2, 3, 3, 2, 1, 1, 2, 4, 0, 4, 1, 0, 3, 4, 4, 4, 2, 4, 1, 4, 4, 0, 4, 1, 4, 1, 3, 3, 0, 4, 1, 3, 4, 0, 1, 4, 0, 3, 2, 2, 0, 4, 3, 2, 1, 1, 1, 2, 1, 4, 0, 2, 1, 1, 2, 3, 3, 4, 1, 1, 1, 1, 1, 3, 4, 3, 3, 1, 3, 3, 0, 2, 3, 2, 3, 4, 0, 2, 0, 1, 1, 0, 0, 4, 0, 3, 0, 0, 4, 3, 0, 1, 0, 4, 0, 3, 4, 3, 2, 0, 1, 3, 3, 3, 2, 4, 4, 4, 4, 2, 0, 4, 1, 0, 2, 3, 3, 2, 2, 3, 1, 3, 2, 3, 4, 0, 0, 0, 1, 4, 0, 4, 3, 2, 4, 0, 3, 2, 1, 3, 1, 0, 2, 1, 1, 4, 3, 2, 1, 1, 4, 0, 1, 4, 0, 4, 4, 1, 4, 4, 2, 2, 4, 0, 4, 4, 4, 2, 4, 1, 4, 1, 2, 1, 0, 2, 0, 3, 3, 0, 0, 0, 4, 2, 4, 0, 2, 4, 1, 1, 2, 2, 4, 2, 3, 2, 3, 1, 0, 1, 1, 3, 2, 3, 1, 2, 1, 1, 4, 1, 4, 2, 3, 2, 0, 3, 0, 1, 4, 4, 1, 2, 0, 4, 2, 3]
pubkeycol878 = [3, 3, 0, 1, 0, 4, 2, 1, 0, 3, 2, 2, 3, 0, 1, 0, 0, 2, 0, 2, 0, 3, 0, 3, 3, 4, 0, 3, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, 0, 1, 1, 2, 3, 4, 0, 2, 4, 0, 2, 2, 3, 4, 4, 4, 3, 1, 4, 3, 1, 2, 4, 1, 0, 3, 2, 4, 1, 1, 4, 3, 1, 4, 2, 1, 4, 4, 4, 0, 2, 2, 1, 3, 1, 1, 3, 0, 0, 1, 2, 4, 3, 0, 4, 0, 1, 2, 4, 3, 4, 4, 3, 1, 0, 3, 2, 2, 4, 4, 0, 4, 4, 1, 3, 0, 2, 3, 0, 1, 1, 0, 0, 0, 0, 1, 1, 4, 2, 0, 4, 0, 1, 1, 3, 3, 2, 3, 1, 0, 1, 3, 1, 0, 1, 2, 1, 0, 2, 3, 0, 4, 1, 3, 2, 1, 4, 3, 2, 2, 0, 2, 1, 4, 1, 1, 2, 0, 3, 0, 2, 4, 4, 4, 4, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 4, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 3, 1, 2, 1, 4, 3, 4, 3, 2, 0, 0, 3, 2, 0, 4, 2, 1, 2, 4, 0, 0, 4, 4, 1, 4, 2, 4, 1, 1, 3, 3, 2, 4, 1, 0, 3, 4, 0, 4, 4, 1, 4, 0, 3, 1, 4, 1, 4, 1, 2, 4, 4, 2, 4, 3, 3, 0, 4, 1, 2, 2, 0, 3, 4, 4, 2, 0, 0, 2, 4, 4, 0, 2, 3, 4, 3, 3, 4, 0, 4, 3, 0, 3, 4, 2, 2, 4, 3, 0, 3, 1, 0, 4, 2, 1, 1, 2, 1, 3, 2, 4, 0, 4, 4, 4, 4, 4, 2, 0, 4, 0, 3, 1, 3, 3, 3, 2, 2, 2, 4, 2, 3, 2, 4, 3, 1]
pubkeycol879 = [2, 1, 1, 3, 1, 3, 4, 3, 1, 1, 2, 2, 3, 2, 2, 1, 4, 4, 3, 3, 3, 0, 3, 2, 0, 2, 1, 0, 2, 2, 4, 1, 1, 0, 3, 1, 1, 0, 4, 1, 1, 3, 1, 4, 0, 0, 0, 1, 1, 2, 3, 4, 0, 3, 1, 1, 1, 1, 3, 1, 4, 1, 0, 3, 1, 3, 3, 1, 2, 0, 4, 3, 0, 1, 2, 0, 2, 1, 4, 1, 0, 3, 3, 3, 4, 4, 4, 2, 1, 0, 2, 2, 1, 4, 1, 3, 2, 3, 3, 0, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 1, 4, 4, 2, 2, 0, 3, 1, 4, 3, 3, 3, 1, 3, 0, 2, 4, 4, 4, 2, 4, 4, 0, 2, 2, 2, 0, 4, 3, 1, 0, 2, 4, 4, 2, 4, 3, 4, 3, 3, 1, 3, 2, 2, 3, 1, 3, 1, 3, 1, 3, 0, 1, 4, 2, 0, 4, 4, 0, 3, 3, 0, 3, 0, 3, 4, 4, 3, 0, 3, 1, 0, 3, 0, 1, 0, 2, 4, 1, 2, 1, 1, 0, 0, 3, 0, 1, 4, 2, 3, 4, 0, 1, 3, 2, 1, 4, 1, 1, 0, 2, 3, 2, 4, 0, 2, 0, 3, 4, 1, 3, 3, 1, 1, 1, 4, 3, 1, 3, 2, 0, 4, 4, 4, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 2, 4, 1, 0, 4, 4, 2, 4, 3, 2, 1, 1, 0, 4, 4, 4, 0, 3, 1, 2, 1, 3, 0, 0, 2, 2, 1, 2, 4, 4, 0, 1, 1, 2, 2, 1, 1, 0, 4, 1, 1, 1, 4, 2, 0, 4, 2, 3, 2, 2, 1, 0, 0, 3, 2, 2, 0, 3, 4, 4, 4, 3, 0, 1, 0, 1, 1, 4, 3, 2, 3, 0, 4, 1, 2]
pubkeycol880 = [4, 0, 4, 2, 0, 3, 4, 4, 2, 3, 1, 4, 2, 4, 2, 2, 4, 0, 4, 0, 3, 2, 2, 3, 0, 1, 0, 2, 4, 4, 3, 0, 4, 1, 1, 1, 0, 0, 1, 1, 4, 0, 2, 3, 3, 1, 2, 1, 1, 0, 4, 0, 0, 3, 0, 3, 4, 2, 2, 3, 1, 0, 1, 4, 0, 0, 2, 4, 3, 3, 2, 4, 0, 0, 4, 2, 4, 3, 0, 2, 1, 4, 2, 3, 1, 0, 3, 3, 2, 0, 1, 2, 0, 3, 1, 3, 1, 0, 0, 1, 3, 2, 4, 1, 3, 4, 2, 2, 4, 2, 2, 2, 2, 4, 3, 3, 1, 2, 4, 0, 4, 4, 4, 2, 2, 4, 4, 1, 2, 4, 2, 1, 3, 3, 3, 2, 4, 1, 4, 4, 0, 1, 1, 2, 0, 2, 1, 3, 0, 4, 3, 2, 1, 3, 0, 2, 3, 4, 4, 0, 1, 4, 4, 3, 2, 3, 3, 0, 2, 4, 3, 1, 0, 0, 0, 4, 4, 2, 1, 4, 1, 2, 2, 4, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 2, 2, 0, 3, 3, 4, 0, 1, 0, 4, 3, 0, 1, 0, 3, 0, 0, 3, 1, 1, 2, 4, 2, 2, 2, 1, 4, 4, 3, 0, 4, 4, 2, 1, 0, 3, 0, 4, 1, 3, 0, 0, 0, 2, 4, 0, 2, 0, 1, 4, 1, 4, 3, 0, 2, 3, 4, 0, 3, 2, 4, 0, 3, 4, 3, 4, 2, 4, 2, 3, 4, 1, 4, 4, 4, 2, 0, 3, 1, 2, 0, 3, 0, 0, 4, 3, 2, 1, 1, 2, 4, 2, 4, 0, 2, 2, 2, 3, 0, 1, 3, 4, 4, 4, 3, 3, 1, 0, 0, 3, 2, 3, 4, 3, 1, 2, 4, 2, 1, 1, 2, 0, 3, 4, 0]
pubkeycol881 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 4, 0, 1, 4, 4, 3, 4, 2, 4, 3, 3, 2, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 0, 2, 1, 2, 3, 1, 1, 4, 4, 4, 0, 1, 2, 1, 4, 4, 4, 1, 0, 3, 3, 4, 3, 3, 3, 0, 1, 0, 3, 1, 1, 1, 3, 4, 4, 4, 4, 1, 1, 3, 4, 4, 1, 0, 2, 0, 3, 0, 1, 1, 4, 3, 2, 1, 2, 2, 0, 3, 2, 1, 3, 1, 3, 4, 0, 2, 2, 4, 2, 3, 0, 0, 1, 1, 4, 3, 4, 3, 0, 4, 1, 2, 2, 1, 0, 4, 4, 2, 3, 0, 4, 3, 3, 4, 3, 4, 4, 3, 4, 1, 3, 0, 4, 2, 4, 2, 4, 1, 2, 3, 2, 1, 0, 2, 4, 2, 1, 0, 1, 1, 1, 3, 1, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 2, 3, 2, 2, 4, 2, 0, 4, 0, 0, 2, 4, 1, 2, 0, 0, 0, 0, 4, 3, 0, 3, 0, 0, 4, 0, 2, 3, 3, 2, 1, 3, 2, 1, 0, 3, 3, 2, 3, 0, 3, 3, 1, 1, 3, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 3, 4, 3, 4, 2, 0, 3, 1, 2, 4, 3, 2, 4, 4, 4, 4, 2, 4, 1, 4, 4, 0, 1, 2, 3, 1, 2, 4, 1, 4, 4, 2, 3, 3, 2, 4, 2, 3, 2, 3, 2, 4, 3, 1, 2, 3, 2, 0, 3, 0, 1, 4, 1, 3, 4, 2, 1, 3, 0, 2, 0, 2, 2, 4, 3, 4, 4, 0, 1, 2, 3, 1, 3, 4, 3, 3, 0, 0, 3, 3, 1, 0, 2, 0, 3, 1, 1, 0, 3, 3, 2, 4, 0, 4, 0, 1, 1, 3, 1]
pubkeycol882 = [0, 3, 3, 0, 2, 0, 4, 2, 3, 0, 3, 1, 2, 1, 1, 3, 1, 2, 1, 4, 3, 0, 1, 2, 3, 1, 0, 4, 1, 0, 2, 4, 4, 1, 4, 3, 2, 3, 0, 3, 0, 3, 2, 3, 4, 3, 3, 1, 4, 3, 2, 3, 1, 2, 4, 1, 0, 4, 3, 1, 3, 1, 0, 1, 2, 3, 4, 3, 3, 1, 2, 2, 2, 3, 4, 1, 0, 2, 2, 3, 1, 3, 0, 4, 2, 4, 1, 1, 3, 3, 0, 3, 1, 0, 0, 4, 2, 4, 1, 2, 1, 1, 1, 1, 0, 2, 0, 4, 2, 0, 2, 2, 2, 1, 0, 0, 4, 1, 3, 0, 3, 0, 2, 0, 2, 3, 0, 1, 4, 2, 3, 1, 1, 1, 1, 3, 1, 4, 4, 1, 2, 0, 0, 1, 3, 0, 1, 3, 4, 4, 3, 2, 3, 4, 0, 0, 1, 0, 4, 4, 4, 0, 4, 3, 4, 3, 1, 3, 2, 0, 0, 2, 3, 1, 3, 4, 0, 0, 3, 2, 2, 0, 3, 3, 4, 4, 3, 1, 3, 4, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 4, 2, 1, 0, 4, 3, 2, 3, 0, 1, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 3, 4, 2, 0, 2, 2, 2, 4, 1, 0, 0, 0, 3, 3, 4, 1, 3, 2, 4, 2, 4, 1, 3, 4, 0, 3, 2, 1, 1, 1, 3, 0, 3, 1, 1, 0, 2, 4, 1, 2, 0, 2, 2, 3, 2, 2, 1, 1, 2, 4, 4, 0, 4, 4, 3, 2, 3, 3, 0, 1, 2, 3, 0, 0, 2, 1, 0, 2, 4, 1, 3, 2, 4, 3, 2, 2, 1, 1, 0, 2, 2, 3, 4, 4, 0, 1, 2, 4, 2, 3, 4, 4, 3, 4, 2, 3, 0, 0]
pubkeycol883 = [0, 1, 2, 4, 2, 3, 0, 4, 4, 1, 0, 3, 2, 0, 1, 4, 2, 0, 0, 4, 1, 2, 4, 2, 1, 4, 1, 3, 1, 4, 3, 0, 1, 3, 3, 2, 3, 4, 3, 3, 2, 0, 1, 4, 2, 0, 0, 2, 0, 0, 0, 1, 4, 2, 1, 0, 2, 0, 1, 0, 4, 1, 0, 3, 2, 1, 4, 2, 1, 0, 4, 3, 4, 2, 2, 0, 0, 3, 3, 0, 4, 1, 2, 0, 4, 0, 1, 4, 2, 2, 0, 0, 0, 3, 2, 2, 0, 2, 1, 3, 0, 1, 2, 2, 2, 0, 4, 1, 2, 3, 2, 3, 0, 3, 0, 2, 0, 4, 0, 1, 0, 2, 3, 0, 2, 4, 3, 0, 1, 1, 4, 4, 1, 1, 1, 1, 2, 0, 4, 0, 1, 0, 3, 2, 3, 3, 0, 3, 2, 2, 1, 3, 2, 4, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 3, 3, 2, 3, 3, 0, 4, 4, 2, 4, 1, 1, 0, 4, 0, 4, 3, 0, 0, 3, 4, 1, 2, 2, 0, 3, 3, 0, 1, 2, 1, 0, 3, 3, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 4, 2, 3, 4, 2, 4, 1, 0, 0, 1, 2, 2, 2, 0, 3, 1, 1, 0, 4, 0, 2, 2, 4, 4, 0, 0, 4, 2, 1, 0, 1, 1, 2, 3, 1, 2, 0, 4, 3, 2, 3, 0, 1, 2, 1, 2, 0, 2, 0, 0, 4, 1, 3, 2, 2, 3, 1, 0, 3, 0, 1, 0, 1, 1, 2, 0, 0, 3, 1, 0, 1, 1, 3, 3, 1, 2, 4, 1, 3, 3, 3, 4, 0, 0, 4, 1, 0, 0, 1, 3, 2, 2, 2, 2, 3, 2, 0, 4, 0, 4, 4, 4, 1, 2, 0, 0, 1, 4, 4, 3, 3]
pubkeycol884 = [2, 3, 3, 0, 2, 1, 2, 1, 0, 1, 3, 0, 0, 2, 2, 1, 3, 1, 1, 1, 4, 0, 2, 1, 2, 3, 1, 3, 3, 4, 0, 4, 3, 2, 2, 2, 0, 3, 0, 3, 3, 1, 4, 3, 3, 0, 3, 1, 4, 2, 1, 0, 0, 0, 2, 3, 1, 2, 4, 3, 2, 1, 2, 2, 3, 4, 3, 0, 4, 1, 4, 2, 2, 0, 1, 4, 2, 0, 2, 1, 0, 4, 3, 2, 0, 2, 1, 0, 4, 1, 3, 3, 2, 3, 4, 3, 3, 2, 2, 0, 4, 2, 3, 1, 0, 4, 2, 0, 4, 4, 0, 2, 1, 0, 2, 4, 2, 2, 3, 1, 3, 1, 0, 0, 3, 3, 4, 2, 0, 2, 0, 0, 4, 2, 1, 1, 1, 3, 2, 3, 4, 2, 2, 1, 1, 3, 3, 4, 3, 2, 1, 4, 0, 1, 1, 3, 1, 1, 3, 3, 2, 4, 0, 1, 4, 2, 3, 2, 4, 2, 3, 0, 1, 4, 2, 2, 3, 1, 3, 1, 2, 2, 3, 4, 2, 2, 1, 1, 2, 4, 4, 0, 3, 3, 1, 0, 4, 1, 4, 4, 2, 0, 4, 2, 3, 1, 0, 3, 4, 1, 1, 1, 1, 0, 4, 2, 4, 1, 0, 3, 3, 0, 0, 0, 4, 2, 2, 1, 3, 3, 3, 0, 2, 2, 2, 4, 4, 1, 2, 1, 0, 1, 4, 0, 4, 1, 2, 3, 3, 3, 4, 2, 3, 3, 1, 3, 4, 3, 1, 1, 4, 0, 3, 2, 4, 4, 3, 0, 2, 3, 4, 0, 0, 2, 3, 0, 1, 3, 0, 2, 3, 1, 3, 0, 4, 3, 3, 4, 1, 0, 3, 4, 1, 4, 1, 3, 2, 4, 1, 1, 2, 4, 0, 4, 0, 1, 4, 4, 1, 3, 4, 2, 2, 1, 0, 1, 2, 0, 2, 1]
pubkeycol885 = [1, 2, 0, 1, 2, 1, 3, 4, 4, 2, 1, 0, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 2, 3, 3, 1, 1, 3, 4, 1, 4, 4, 2, 2, 0, 4, 3, 2, 3, 4, 3, 2, 3, 4, 4, 0, 2, 4, 2, 4, 0, 2, 0, 4, 2, 1, 1, 3, 2, 1, 4, 4, 3, 4, 0, 4, 0, 3, 1, 3, 4, 2, 3, 1, 3, 3, 3, 1, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 0, 4, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 2, 1, 3, 2, 1, 3, 1, 1, 2, 1, 2, 1, 4, 4, 3, 2, 1, 2, 4, 2, 1, 4, 2, 3, 3, 3, 1, 4, 4, 4, 1, 2, 4, 0, 1, 0, 1, 3, 4, 1, 2, 3, 4, 0, 4, 2, 0, 0, 0, 3, 1, 3, 0, 3, 1, 2, 4, 4, 2, 3, 1, 1, 4, 4, 3, 4, 3, 4, 4, 1, 1, 4, 0, 3, 2, 1, 1, 2, 0, 4, 2, 3, 0, 0, 1, 3, 2, 1, 1, 4, 2, 1, 2, 3, 3, 2, 4, 1, 3, 1, 3, 2, 1, 2, 4, 3, 4, 3, 0, 4, 0, 1, 0, 1, 1, 3, 2, 1, 3, 1, 3, 3, 1, 4, 2, 4, 3, 2, 2, 2, 4, 1, 0, 2, 1, 3, 3, 2, 0, 1, 2, 1, 4, 3, 2, 3, 0, 2, 2, 0, 2, 4, 4, 4, 4, 4, 4, 4, 3, 0, 4, 1, 0, 1, 0, 0, 1, 1, 3, 0, 0, 4, 2, 1, 1, 4, 1, 2, 4, 1, 4, 3, 4, 2, 0, 1, 2, 1, 2, 2, 0, 4, 3, 2, 3, 4, 2, 0, 0, 1, 0, 1, 3, 3, 2, 1, 3, 2, 2, 0, 4]
pubkeycol886 = [4, 0, 1, 3, 4, 2, 3, 3, 2, 1, 1, 2, 3, 1, 4, 4, 4, 4, 4, 3, 2, 0, 0, 1, 3, 2, 3, 0, 3, 3, 0, 1, 4, 0, 1, 0, 2, 1, 3, 0, 1, 0, 0, 0, 1, 0, 0, 1, 3, 1, 0, 4, 1, 1, 3, 0, 3, 4, 4, 2, 2, 1, 3, 4, 4, 0, 2, 0, 3, 0, 0, 0, 1, 4, 2, 0, 2, 4, 4, 4, 3, 3, 0, 4, 1, 4, 3, 1, 2, 2, 4, 4, 2, 4, 2, 3, 4, 0, 4, 2, 4, 0, 1, 1, 4, 2, 3, 2, 3, 1, 4, 3, 3, 0, 0, 0, 0, 2, 4, 1, 1, 0, 0, 2, 0, 1, 2, 3, 2, 4, 1, 3, 0, 0, 4, 3, 3, 0, 0, 2, 1, 4, 1, 1, 3, 3, 1, 1, 3, 4, 1, 1, 1, 0, 2, 0, 3, 1, 4, 3, 0, 3, 4, 2, 4, 2, 1, 0, 0, 0, 3, 0, 3, 1, 3, 0, 2, 1, 1, 0, 4, 1, 1, 0, 1, 1, 0, 2, 4, 4, 0, 0, 0, 1, 4, 3, 4, 3, 2, 4, 2, 1, 0, 2, 2, 3, 2, 1, 1, 0, 0, 1, 4, 2, 4, 1, 2, 4, 0, 2, 1, 1, 4, 4, 0, 3, 4, 0, 1, 4, 2, 2, 3, 2, 3, 2, 3, 3, 4, 4, 0, 3, 1, 4, 0, 3, 4, 2, 1, 4, 1, 4, 2, 0, 2, 0, 3, 0, 0, 0, 0, 2, 2, 0, 4, 1, 0, 1, 4, 0, 3, 4, 2, 3, 1, 3, 2, 4, 3, 1, 4, 1, 4, 1, 0, 2, 1, 2, 3, 0, 4, 4, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 4, 4, 3, 3, 2, 3, 0, 0, 0, 4, 2, 1, 2, 1, 1, 0, 4, 1]
pubkeycol887 = [2, 0, 2, 1, 4, 2, 4, 3, 0, 2, 3, 0, 4, 4, 0, 4, 2, 1, 1, 0, 4, 3, 0, 0, 4, 0, 4, 3, 4, 3, 1, 4, 4, 4, 2, 4, 2, 4, 3, 1, 2, 1, 0, 0, 4, 1, 0, 0, 1, 1, 3, 2, 0, 3, 2, 3, 0, 3, 1, 0, 0, 4, 4, 3, 2, 1, 3, 0, 1, 4, 3, 3, 3, 3, 4, 0, 0, 0, 2, 2, 3, 4, 3, 4, 1, 0, 2, 3, 1, 1, 3, 3, 1, 0, 3, 3, 3, 2, 4, 2, 0, 4, 4, 4, 4, 4, 3, 1, 4, 0, 1, 0, 3, 4, 3, 2, 1, 0, 3, 2, 4, 3, 0, 4, 2, 1, 1, 2, 2, 1, 4, 2, 3, 0, 1, 2, 4, 4, 1, 2, 4, 4, 1, 0, 2, 2, 4, 4, 2, 1, 4, 2, 2, 1, 0, 3, 0, 3, 1, 4, 1, 3, 0, 0, 0, 1, 4, 1, 1, 2, 0, 4, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 0, 3, 2, 4, 4, 4, 3, 2, 3, 1, 2, 4, 3, 2, 0, 2, 4, 3, 2, 4, 0, 3, 3, 0, 3, 0, 3, 3, 4, 3, 0, 3, 4, 2, 0, 4, 3, 3, 3, 0, 2, 1, 1, 4, 4, 3, 0, 3, 4, 1, 0, 2, 4, 1, 4, 3, 2, 4, 2, 1, 4, 3, 2, 0, 4, 0, 4, 0, 4, 1, 1, 2, 3, 3, 2, 4, 1, 2, 3, 2, 0, 2, 1, 3, 1, 3, 3, 4, 3, 4, 4, 3, 2, 1, 3, 0, 2, 1, 2, 0, 0, 1, 2, 4, 0, 4, 4, 4, 4, 2, 1, 0, 3, 1, 3, 4, 3, 3, 3, 1, 2, 1, 1, 0, 4, 1, 1, 4, 2, 2, 1, 2, 1, 1, 2, 0, 1]
pubkeycol888 = [4, 4, 3, 2, 2, 0, 0, 4, 2, 4, 3, 4, 0, 1, 0, 0, 4, 4, 4, 0, 1, 2, 1, 3, 2, 2, 1, 4, 0, 0, 0, 3, 0, 2, 0, 1, 2, 4, 1, 1, 3, 4, 2, 1, 1, 4, 2, 2, 4, 1, 4, 3, 1, 3, 0, 4, 3, 2, 4, 2, 0, 2, 3, 0, 1, 0, 1, 1, 3, 1, 2, 0, 4, 0, 2, 1, 2, 0, 4, 2, 0, 4, 0, 0, 4, 1, 4, 3, 4, 1, 3, 1, 4, 3, 4, 1, 1, 4, 0, 1, 2, 3, 2, 0, 4, 0, 0, 2, 2, 2, 1, 2, 1, 3, 0, 2, 1, 0, 4, 2, 3, 0, 1, 3, 1, 4, 1, 2, 2, 3, 3, 0, 1, 2, 3, 1, 2, 1, 3, 2, 0, 1, 3, 3, 3, 1, 0, 2, 2, 1, 1, 2, 0, 4, 1, 4, 2, 0, 1, 1, 4, 3, 3, 1, 3, 4, 3, 3, 1, 0, 1, 4, 3, 3, 3, 0, 0, 0, 4, 1, 4, 3, 2, 0, 4, 0, 2, 1, 2, 0, 4, 3, 3, 4, 1, 3, 2, 3, 4, 4, 1, 4, 4, 4, 4, 4, 0, 2, 4, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 1, 4, 2, 2, 3, 0, 2, 0, 0, 1, 3, 0, 1, 1, 0, 2, 0, 3, 1, 2, 1, 0, 1, 2, 2, 3, 3, 0, 3, 0, 3, 1, 2, 0, 1, 3, 1, 2, 0, 0, 0, 3, 0, 1, 4, 3, 1, 4, 2, 2, 3, 0, 2, 4, 3, 1, 3, 3, 1, 3, 4, 2, 1, 1, 1, 1, 4, 1, 4, 2, 4, 0, 0, 2, 2, 2, 3, 3, 1, 1, 4, 4, 0, 1, 0, 1, 3, 4, 2, 4, 3, 4, 1, 4, 0, 4]
pubkeycol889 = [1, 1, 0, 4, 3, 0, 2, 4, 3, 0, 4, 0, 4, 2, 0, 0, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 4, 0, 3, 4, 0, 0, 4, 2, 0, 0, 0, 0, 4, 3, 2, 0, 2, 0, 3, 3, 3, 2, 1, 3, 3, 3, 3, 2, 4, 4, 4, 1, 1, 0, 1, 2, 4, 4, 4, 4, 3, 0, 0, 2, 1, 2, 3, 2, 3, 3, 0, 4, 3, 3, 2, 0, 1, 3, 2, 3, 1, 1, 4, 1, 3, 0, 4, 0, 3, 2, 3, 0, 0, 1, 1, 4, 1, 1, 3, 2, 1, 4, 4, 3, 4, 2, 2, 3, 1, 1, 2, 2, 4, 1, 1, 2, 1, 0, 0, 4, 1, 1, 0, 4, 2, 4, 3, 1, 4, 1, 4, 0, 2, 1, 4, 3, 3, 4, 3, 3, 1, 2, 3, 1, 3, 3, 4, 3, 3, 3, 4, 4, 4, 3, 2, 1, 1, 0, 2, 2, 2, 3, 3, 3, 0, 4, 2, 3, 1, 2, 0, 1, 2, 1, 1, 4, 2, 2, 1, 2, 0, 4, 4, 4, 4, 3, 1, 2, 3, 1, 0, 3, 3, 3, 3, 3, 0, 0, 0, 2, 0, 4, 3, 1, 1, 0, 4, 1, 1, 0, 2, 2, 0, 3, 1, 1, 2, 4, 4, 4, 2, 0, 4, 0, 1, 3, 0, 0, 3, 2, 2, 4, 4, 0, 3, 4, 4, 4, 2, 1, 3, 3, 4, 2, 4, 2, 2, 2, 0, 2, 2, 4, 0, 3, 1, 0, 4, 0, 0, 3, 4, 3, 2, 1, 4, 0, 0, 4, 2, 1, 0, 3, 4, 2, 1, 2, 0, 1, 3, 4, 1, 1, 3, 3, 2, 4, 3, 0, 2, 0, 2, 0, 3, 1, 3, 3, 0, 2, 2, 2, 1, 2, 4, 1, 0, 1, 4, 2, 4, 1, 3, 2, 2, 0]
pubkeycol890 = [1, 3, 2, 2, 4, 2, 4, 0, 4, 4, 3, 2, 4, 0, 0, 3, 2, 4, 3, 4, 2, 3, 4, 1, 4, 0, 4, 0, 2, 3, 3, 4, 2, 3, 0, 3, 4, 2, 0, 3, 3, 0, 0, 3, 3, 4, 3, 2, 0, 3, 1, 3, 4, 4, 2, 0, 0, 0, 1, 2, 4, 1, 0, 0, 0, 3, 3, 4, 2, 0, 1, 0, 2, 2, 3, 0, 0, 2, 3, 4, 2, 1, 2, 2, 0, 3, 1, 4, 0, 1, 4, 0, 1, 4, 3, 3, 0, 1, 3, 0, 0, 3, 2, 0, 0, 3, 4, 1, 1, 1, 0, 0, 0, 4, 0, 3, 4, 1, 4, 2, 3, 3, 1, 0, 2, 1, 1, 4, 4, 0, 4, 2, 2, 1, 1, 1, 1, 0, 1, 0, 3, 3, 3, 0, 1, 0, 4, 4, 3, 3, 4, 3, 1, 2, 3, 4, 0, 3, 3, 2, 2, 1, 1, 2, 1, 0, 2, 1, 3, 2, 1, 3, 3, 2, 4, 1, 2, 3, 0, 0, 1, 1, 4, 4, 3, 4, 2, 3, 0, 3, 0, 3, 0, 1, 2, 1, 3, 4, 0, 0, 3, 0, 3, 3, 3, 2, 3, 3, 2, 1, 4, 2, 3, 4, 0, 1, 2, 1, 4, 0, 0, 1, 2, 4, 2, 0, 0, 3, 3, 0, 3, 3, 4, 0, 3, 2, 4, 3, 3, 3, 0, 0, 1, 3, 4, 4, 4, 1, 2, 1, 0, 3, 3, 3, 1, 4, 0, 2, 0, 0, 1, 3, 4, 0, 2, 1, 2, 0, 0, 3, 4, 3, 4, 3, 0, 1, 0, 3, 3, 4, 3, 2, 2, 3, 3, 2, 0, 0, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 4, 3, 1, 3, 2, 1, 2, 0, 0, 2, 0, 3, 2, 0, 2, 1, 0, 0, 3, 3, 4, 0]
pubkeycol891 = [4, 1, 3, 3, 2, 4, 2, 2, 3, 4, 4, 3, 1, 0, 2, 1, 1, 0, 1, 4, 3, 4, 2, 4, 3, 2, 4, 3, 0, 1, 4, 3, 2, 2, 0, 2, 1, 3, 1, 0, 4, 2, 2, 4, 1, 4, 1, 0, 3, 0, 4, 3, 3, 0, 0, 1, 2, 4, 3, 3, 0, 2, 2, 2, 4, 0, 0, 0, 1, 0, 2, 2, 4, 2, 4, 2, 2, 1, 3, 2, 3, 2, 1, 4, 2, 4, 1, 2, 4, 3, 2, 1, 1, 4, 2, 1, 1, 0, 2, 4, 2, 1, 4, 2, 2, 4, 0, 0, 3, 3, 4, 3, 3, 2, 3, 1, 3, 2, 2, 0, 1, 1, 4, 2, 1, 2, 1, 4, 0, 2, 1, 4, 0, 4, 2, 0, 0, 0, 4, 4, 0, 0, 3, 4, 2, 3, 0, 1, 2, 4, 0, 2, 2, 4, 3, 2, 1, 2, 2, 1, 4, 3, 4, 4, 3, 1, 2, 3, 1, 3, 1, 4, 1, 1, 3, 0, 3, 1, 1, 4, 0, 0, 2, 2, 3, 3, 0, 4, 1, 4, 0, 4, 0, 1, 0, 4, 2, 0, 3, 2, 2, 1, 4, 2, 1, 0, 2, 0, 0, 1, 4, 2, 2, 2, 4, 4, 3, 2, 2, 2, 2, 1, 4, 3, 2, 0, 2, 1, 3, 0, 0, 0, 4, 1, 0, 3, 4, 1, 0, 1, 2, 4, 1, 2, 0, 1, 4, 2, 2, 4, 0, 1, 3, 0, 3, 2, 2, 2, 1, 0, 2, 2, 4, 1, 4, 1, 4, 2, 2, 0, 0, 3, 4, 3, 0, 1, 3, 3, 4, 1, 0, 1, 4, 2, 3, 2, 4, 4, 1, 2, 2, 2, 0, 0, 0, 4, 3, 4, 2, 0, 0, 4, 3, 3, 0, 0, 0, 1, 2, 3, 3, 2, 0, 3, 4, 3, 1, 1, 0, 2]
pubkeycol892 = [1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 4, 4, 3, 0, 1, 4, 3, 3, 1, 0, 2, 4, 4, 1, 0, 3, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 2, 2, 1, 2, 3, 2, 0, 4, 3, 2, 2, 2, 2, 0, 0, 3, 0, 0, 0, 0, 1, 4, 0, 3, 4, 1, 0, 4, 3, 0, 0, 2, 3, 4, 3, 2, 3, 4, 1, 0, 3, 0, 4, 1, 2, 4, 4, 4, 2, 1, 3, 0, 3, 4, 3, 3, 4, 1, 2, 2, 2, 1, 4, 0, 2, 3, 0, 4, 0, 0, 1, 3, 3, 3, 4, 2, 2, 1, 3, 0, 3, 0, 1, 2, 4, 3, 3, 1, 4, 4, 3, 3, 4, 3, 4, 4, 4, 2, 1, 2, 1, 2, 3, 0, 1, 2, 2, 2, 0, 1, 4, 1, 2, 4, 4, 4, 4, 3, 3, 2, 2, 1, 3, 2, 3, 2, 0, 3, 2, 4, 4, 0, 3, 4, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 3, 1, 3, 2, 0, 4, 1, 3, 3, 4, 0, 1, 3, 1, 2, 1, 2, 4, 1, 0, 3, 3, 2, 2, 2, 4, 1, 1, 2, 1, 0, 4, 1, 3, 2, 4, 3, 0, 3, 0, 4, 2, 0, 1, 0, 0, 4, 3, 2, 2, 3, 3, 1, 2, 1, 4, 2, 1, 2, 2, 1, 3, 0, 1, 0, 3, 4, 4, 1, 0, 4, 3, 2, 1, 1, 0, 0, 3, 2, 0, 4, 3, 4, 3, 2, 3, 1, 0, 2, 2, 2, 3, 2, 1, 4, 0, 0, 2, 2, 1, 3, 3, 2, 1, 1, 1, 0, 3, 3, 2, 3, 1, 2, 1, 0, 3, 3, 3, 4, 3, 1, 2, 1, 4, 2, 0, 4, 0, 2, 0, 2, 0, 4, 2, 2, 2, 2, 4]
pubkeycol893 = [2, 0, 2, 4, 0, 0, 2, 4, 3, 4, 3, 4, 2, 1, 1, 4, 0, 2, 4, 3, 3, 1, 2, 0, 2, 0, 2, 4, 0, 2, 1, 1, 2, 4, 3, 2, 3, 1, 0, 3, 3, 3, 2, 1, 4, 3, 0, 3, 1, 4, 2, 0, 1, 2, 3, 0, 2, 0, 2, 1, 4, 3, 2, 1, 1, 0, 3, 3, 2, 2, 0, 2, 4, 2, 4, 3, 4, 4, 4, 1, 0, 3, 2, 2, 2, 1, 3, 0, 3, 2, 3, 0, 3, 2, 4, 3, 3, 4, 1, 3, 4, 0, 0, 2, 0, 0, 0, 1, 1, 4, 4, 3, 1, 3, 4, 4, 2, 0, 2, 3, 2, 4, 1, 0, 3, 0, 0, 3, 4, 4, 3, 3, 3, 2, 1, 0, 4, 3, 4, 0, 4, 2, 1, 2, 1, 1, 1, 1, 3, 4, 4, 3, 1, 4, 3, 4, 4, 2, 3, 2, 4, 3, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 3, 1, 4, 3, 3, 1, 1, 0, 0, 3, 2, 1, 3, 4, 2, 4, 3, 4, 1, 0, 4, 1, 4, 3, 1, 3, 0, 3, 0, 4, 0, 1, 3, 1, 2, 3, 4, 0, 4, 1, 2, 3, 3, 0, 3, 0, 1, 0, 1, 3, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 4, 2, 0, 1, 0, 0, 3, 0, 3, 3, 2, 1, 1, 3, 3, 1, 3, 0, 1, 2, 1, 0, 1, 4, 0, 0, 3, 0, 2, 2, 1, 2, 1, 2, 3, 0, 0, 4, 3, 1, 1, 4, 3, 1, 1, 2, 0, 3, 4, 3, 4, 1, 2, 1, 3, 1, 4, 1, 1, 0, 4, 0, 4, 1, 3, 0, 3, 4, 0, 0, 1, 0, 3, 0, 1, 1, 3, 4, 2, 0, 1, 2, 1, 3, 0, 1]
pubkeycol894 = [0, 4, 3, 4, 3, 2, 3, 3, 0, 3, 3, 0, 3, 3, 1, 2, 3, 0, 2, 2, 2, 2, 0, 3, 4, 1, 4, 4, 3, 3, 2, 3, 4, 0, 1, 0, 2, 3, 4, 0, 0, 0, 0, 0, 3, 2, 4, 0, 0, 0, 1, 0, 3, 4, 4, 2, 3, 1, 1, 4, 3, 1, 2, 1, 1, 2, 4, 4, 1, 2, 2, 4, 3, 2, 2, 4, 3, 3, 4, 3, 2, 0, 2, 4, 2, 2, 4, 0, 3, 1, 0, 1, 2, 2, 1, 3, 3, 0, 4, 4, 4, 3, 0, 2, 0, 2, 3, 3, 4, 2, 0, 0, 3, 2, 1, 0, 2, 2, 1, 4, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 4, 3, 2, 2, 3, 4, 4, 3, 2, 2, 4, 1, 4, 3, 3, 4, 0, 2, 0, 4, 3, 2, 0, 1, 4, 4, 3, 1, 4, 4, 2, 1, 4, 2, 3, 3, 2, 4, 1, 0, 2, 3, 3, 0, 2, 1, 2, 2, 0, 3, 0, 0, 2, 3, 4, 2, 0, 3, 1, 1, 1, 4, 0, 4, 3, 3, 4, 1, 4, 0, 4, 3, 0, 0, 4, 1, 3, 2, 2, 3, 1, 3, 1, 2, 4, 3, 2, 3, 2, 2, 3, 2, 1, 4, 2, 4, 1, 1, 3, 1, 3, 0, 3, 2, 1, 2, 3, 4, 3, 4, 0, 3, 1, 1, 1, 0, 3, 4, 1, 2, 0, 4, 0, 1, 4, 1, 2, 4, 4, 4, 0, 4, 1, 1, 1, 1, 4, 0, 0, 2, 0, 4, 3, 0, 2, 0, 4, 0, 0, 1, 0, 3, 2, 4, 4, 0, 3, 4, 3, 0, 2, 2, 1, 0, 3, 2, 1, 3, 1, 3, 3, 2, 4, 0, 0, 1, 2, 1, 1, 4, 0, 1, 0, 0, 0, 2, 4, 3, 0, 1]
pubkeycol895 = [4, 2, 2, 0, 0, 0, 1, 1, 2, 3, 2, 0, 1, 3, 3, 4, 2, 0, 3, 2, 3, 2, 4, 0, 0, 4, 1, 1, 1, 1, 3, 4, 3, 3, 3, 2, 4, 3, 4, 4, 3, 1, 1, 1, 0, 1, 3, 3, 3, 2, 2, 1, 0, 2, 2, 1, 1, 3, 0, 3, 2, 2, 1, 0, 4, 2, 1, 1, 2, 2, 4, 1, 0, 4, 3, 2, 1, 4, 0, 0, 0, 3, 1, 4, 1, 1, 1, 2, 1, 2, 3, 3, 1, 0, 2, 0, 1, 1, 1, 3, 2, 1, 0, 4, 0, 3, 3, 3, 4, 3, 0, 2, 4, 1, 3, 1, 4, 0, 2, 1, 0, 4, 4, 4, 4, 0, 1, 3, 4, 1, 0, 1, 3, 3, 1, 1, 0, 3, 4, 4, 1, 1, 4, 1, 2, 4, 1, 2, 3, 0, 4, 1, 4, 4, 0, 3, 0, 2, 2, 0, 2, 4, 0, 1, 0, 3, 0, 2, 2, 0, 0, 1, 2, 2, 3, 1, 2, 4, 2, 4, 1, 4, 0, 2, 3, 3, 0, 1, 1, 0, 3, 3, 2, 2, 4, 3, 0, 0, 4, 1, 1, 2, 2, 3, 1, 0, 3, 3, 0, 2, 0, 3, 2, 1, 0, 4, 1, 1, 4, 4, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 3, 4, 3, 0, 2, 1, 0, 0, 0, 4, 1, 2, 0, 3, 2, 4, 3, 2, 1, 2, 4, 3, 2, 1, 0, 3, 0, 0, 2, 3, 0, 3, 1, 2, 1, 1, 1, 3, 3, 1, 3, 3, 1, 3, 0, 0, 3, 2, 3, 2, 1, 1, 2, 1, 4, 0, 1, 3, 3, 0, 2, 4, 2, 3, 4, 2, 0, 4, 3, 2, 3, 4, 3, 0, 4, 2, 1, 1, 4, 0, 3, 1, 2, 4, 1, 3]
pubkeycol896 = [3, 2, 4, 0, 4, 0, 3, 3, 0, 1, 1, 3, 3, 0, 2, 1, 0, 2, 2, 1, 2, 2, 4, 0, 0, 0, 1, 4, 0, 2, 4, 1, 1, 1, 3, 4, 3, 0, 1, 4, 2, 3, 4, 1, 1, 0, 3, 2, 4, 4, 3, 4, 4, 3, 1, 3, 3, 1, 4, 0, 2, 3, 4, 0, 4, 3, 1, 2, 0, 0, 3, 4, 0, 4, 2, 3, 3, 4, 0, 0, 2, 3, 0, 3, 3, 4, 3, 3, 4, 4, 2, 3, 4, 1, 0, 0, 4, 1, 2, 3, 2, 3, 2, 2, 0, 0, 0, 1, 0, 4, 1, 0, 0, 1, 2, 4, 0, 4, 2, 4, 2, 4, 4, 1, 1, 2, 1, 0, 2, 4, 0, 0, 0, 3, 1, 3, 0, 3, 2, 1, 4, 1, 3, 0, 4, 2, 4, 3, 2, 1, 3, 1, 0, 2, 3, 2, 4, 1, 0, 1, 0, 2, 4, 3, 0, 0, 0, 4, 3, 0, 2, 3, 4, 3, 4, 2, 3, 0, 0, 1, 2, 3, 2, 0, 1, 3, 0, 0, 0, 3, 1, 3, 3, 2, 4, 2, 3, 2, 3, 1, 3, 3, 1, 4, 4, 4, 3, 4, 3, 0, 4, 0, 2, 1, 4, 4, 3, 4, 3, 0, 3, 1, 1, 3, 0, 1, 4, 1, 2, 1, 3, 0, 0, 4, 4, 0, 1, 3, 2, 4, 2, 1, 3, 1, 4, 1, 3, 1, 1, 0, 0, 4, 4, 2, 3, 4, 4, 2, 4, 0, 1, 4, 4, 2, 3, 3, 2, 1, 4, 1, 3, 1, 4, 4, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 4, 3, 2, 1, 1, 4, 1, 3, 3, 2, 4, 1, 2, 3, 3, 0, 4, 0, 0, 2, 0, 3, 4, 2, 0, 4, 4, 4, 1, 2, 2, 1, 4, 3, 3, 4]
pubkeycol897 = [3, 3, 4, 4, 3, 2, 1, 1, 2, 0, 2, 3, 3, 0, 3, 2, 2, 3, 2, 4, 4, 4, 1, 4, 3, 0, 3, 1, 4, 3, 3, 4, 3, 3, 4, 3, 4, 4, 1, 0, 0, 1, 2, 0, 4, 0, 1, 1, 2, 4, 4, 2, 2, 1, 1, 3, 4, 4, 4, 1, 3, 2, 1, 0, 2, 4, 2, 4, 2, 4, 3, 2, 0, 3, 4, 4, 0, 3, 4, 4, 1, 2, 4, 3, 3, 2, 4, 2, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 3, 1, 4, 0, 2, 3, 4, 3, 3, 2, 2, 2, 1, 3, 2, 0, 4, 4, 1, 1, 2, 2, 2, 0, 2, 0, 4, 2, 1, 1, 1, 1, 0, 0, 2, 2, 3, 2, 1, 3, 2, 2, 0, 3, 0, 2, 4, 2, 1, 0, 0, 1, 3, 4, 4, 3, 3, 1, 4, 2, 4, 3, 1, 4, 2, 4, 0, 1, 1, 0, 1, 4, 4, 4, 2, 4, 4, 1, 1, 3, 4, 2, 0, 0, 0, 1, 1, 3, 3, 2, 1, 3, 3, 3, 1, 4, 1, 3, 2, 4, 0, 4, 2, 2, 1, 2, 2, 3, 2, 3, 3, 2, 2, 1, 0, 2, 2, 3, 4, 3, 4, 0, 0, 0, 0, 3, 3, 2, 4, 4, 2, 3, 1, 1, 4, 2, 3, 0, 1, 2, 0, 3, 0, 3, 2, 3, 4, 1, 3, 2, 0, 0, 2, 2, 4, 2, 1, 3, 3, 3, 3, 2, 2, 0, 3, 4, 1, 0, 4, 0, 4, 3, 1, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 4, 2, 1, 1, 3, 2, 0, 1, 1, 4, 4, 0, 4, 2, 0, 1, 3, 0, 4, 3, 2, 1, 0, 4, 1, 1, 1, 0, 4, 4, 2, 3, 4, 4, 3, 2, 0, 3]
pubkeycol898 = [4, 2, 3, 2, 2, 2, 0, 4, 0, 1, 3, 4, 0, 2, 1, 1, 3, 1, 2, 2, 4, 0, 4, 2, 2, 1, 4, 2, 0, 1, 1, 3, 0, 2, 1, 4, 0, 3, 1, 3, 2, 3, 0, 0, 2, 1, 4, 0, 2, 3, 0, 4, 1, 2, 4, 0, 0, 4, 2, 0, 3, 1, 2, 3, 4, 2, 3, 4, 1, 4, 0, 3, 2, 2, 1, 1, 4, 3, 1, 4, 1, 1, 0, 2, 4, 0, 4, 1, 2, 3, 3, 1, 4, 1, 3, 3, 2, 3, 1, 0, 2, 0, 2, 0, 1, 3, 4, 4, 3, 4, 3, 0, 1, 3, 4, 4, 2, 4, 1, 1, 1, 4, 1, 3, 1, 0, 4, 3, 3, 3, 4, 0, 3, 1, 0, 1, 0, 1, 3, 4, 2, 4, 1, 0, 3, 4, 0, 4, 2, 0, 2, 3, 3, 4, 1, 4, 1, 4, 2, 4, 3, 2, 4, 0, 2, 2, 3, 4, 3, 4, 0, 0, 1, 1, 4, 1, 3, 2, 3, 0, 0, 0, 2, 1, 2, 3, 2, 3, 3, 3, 2, 3, 3, 4, 0, 4, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 0, 0, 3, 2, 3, 0, 3, 2, 0, 1, 3, 1, 1, 1, 3, 2, 1, 1, 0, 2, 3, 2, 3, 4, 1, 0, 4, 2, 0, 3, 1, 3, 1, 4, 0, 4, 0, 3, 0, 1, 4, 0, 1, 4, 2, 0, 4, 0, 4, 1, 2, 0, 2, 4, 1, 3, 0, 0, 4, 4, 1, 0, 3, 3, 4, 0, 1, 3, 1, 4, 1, 1, 1, 2, 3, 0, 2, 0, 4, 2, 3, 0, 2, 0, 1, 3, 4, 0, 3, 4, 3, 3, 0, 3, 3, 3, 4, 1, 1, 1, 4, 0, 2, 3, 3, 4, 1, 0, 4, 3, 1, 3]
pubkeycol899 = [0, 2, 2, 0, 0, 3, 2, 0, 4, 3, 4, 4, 3, 2, 3, 2, 4, 3, 3, 1, 2, 1, 4, 2, 4, 2, 2, 1, 4, 3, 3, 0, 3, 0, 2, 4, 1, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 1, 0, 3, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 3, 3, 3, 3, 3, 3, 4, 4, 1, 4, 0, 1, 1, 0, 4, 4, 2, 4, 1, 4, 1, 2, 2, 1, 0, 0, 4, 1, 1, 3, 3, 4, 0, 4, 3, 0, 2, 4, 1, 3, 1, 4, 0, 0, 4, 2, 2, 1, 2, 0, 3, 0, 1, 1, 1, 2, 2, 3, 2, 1, 3, 2, 2, 1, 1, 0, 3, 0, 2, 4, 2, 1, 3, 4, 4, 2, 2, 0, 1, 2, 1, 2, 4, 0, 3, 4, 2, 0, 4, 1, 1, 1, 1, 2, 1, 4, 1, 3, 0, 3, 0, 0, 2, 4, 4, 3, 4, 1, 3, 1, 1, 4, 3, 2, 0, 2, 3, 1, 3, 3, 0, 0, 1, 1, 3, 0, 4, 0, 2, 1, 0, 4, 2, 0, 0, 2, 3, 2, 0, 2, 1, 0, 1, 1, 1, 4, 1, 2, 2, 3, 1, 3, 0, 2, 1, 4, 1, 1, 1, 0, 4, 3, 2, 1, 4, 1, 1, 0, 3, 0, 1, 4, 3, 1, 3, 2, 1, 3, 0, 3, 0, 0, 3, 4, 1, 1, 0, 0, 0, 3, 1, 0, 3, 3, 1, 1, 0, 4, 0, 1, 2, 0, 4, 4, 3, 1, 0, 4, 2, 4, 2, 1, 1, 3, 4, 3, 4, 3, 0, 1, 1, 0, 1, 2, 2, 4, 0, 0, 0, 4, 3, 3, 4, 1, 3, 1, 2, 1, 2, 1, 1, 1, 3, 1, 4, 0, 4, 1, 4, 4, 3, 0, 2, 1, 2, 1, 0, 4, 0]
pubkeycol900 = [3, 1, 4, 4, 2, 2, 1, 2, 4, 2, 4, 0, 3, 0, 4, 1, 3, 2, 0, 0, 3, 0, 4, 2, 1, 4, 4, 1, 3, 1, 0, 4, 0, 3, 4, 3, 1, 2, 3, 2, 4, 4, 4, 4, 0, 1, 4, 4, 2, 3, 4, 2, 1, 1, 2, 3, 4, 0, 3, 4, 1, 3, 4, 3, 0, 3, 0, 2, 1, 4, 2, 0, 0, 2, 2, 4, 2, 0, 4, 3, 2, 1, 4, 3, 4, 0, 4, 3, 3, 3, 3, 2, 2, 0, 2, 0, 4, 0, 4, 3, 2, 4, 4, 4, 0, 2, 3, 4, 4, 3, 3, 4, 3, 3, 2, 3, 1, 0, 2, 4, 0, 1, 1, 2, 0, 4, 4, 4, 3, 3, 1, 3, 2, 2, 0, 1, 4, 3, 0, 3, 4, 2, 3, 1, 3, 2, 1, 3, 0, 2, 3, 4, 4, 0, 2, 3, 0, 1, 0, 4, 4, 3, 2, 2, 4, 1, 4, 2, 2, 0, 2, 3, 0, 3, 4, 3, 3, 1, 4, 2, 4, 2, 1, 1, 2, 0, 2, 1, 4, 3, 1, 1, 0, 3, 3, 3, 0, 1, 1, 2, 0, 4, 4, 4, 2, 2, 2, 2, 0, 0, 0, 1, 0, 4, 4, 0, 3, 0, 4, 3, 4, 0, 3, 4, 4, 1, 0, 1, 2, 0, 3, 2, 3, 4, 1, 4, 4, 1, 2, 4, 3, 4, 2, 2, 2, 1, 0, 1, 4, 3, 0, 2, 0, 1, 4, 0, 4, 3, 0, 4, 4, 0, 1, 0, 4, 4, 3, 4, 4, 1, 3, 1, 2, 0, 1, 1, 4, 2, 0, 2, 4, 1, 4, 3, 1, 4, 1, 1, 1, 0, 1, 0, 3, 3, 4, 4, 2, 1, 4, 0, 0, 4, 3, 3, 3, 2, 4, 1, 2, 2, 1, 4, 3, 2, 3, 1, 1, 3, 3, 2]
pubkeycol901 = [3, 3, 3, 1, 2, 3, 2, 1, 2, 0, 4, 0, 2, 0, 0, 3, 2, 1, 2, 2, 3, 4, 2, 4, 0, 0, 4, 2, 4, 3, 1, 0, 3, 2, 0, 1, 2, 1, 4, 4, 2, 2, 3, 1, 0, 3, 2, 3, 2, 2, 3, 0, 0, 0, 2, 0, 4, 2, 0, 2, 0, 0, 4, 4, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 4, 4, 4, 0, 3, 4, 2, 4, 2, 0, 4, 2, 4, 2, 0, 2, 1, 4, 0, 1, 0, 3, 1, 0, 2, 0, 1, 4, 3, 0, 3, 2, 0, 2, 0, 3, 4, 4, 4, 1, 4, 1, 4, 1, 2, 4, 4, 0, 3, 3, 0, 0, 0, 1, 3, 4, 2, 4, 3, 1, 1, 4, 0, 3, 1, 4, 4, 1, 3, 3, 1, 4, 3, 0, 3, 3, 0, 1, 3, 2, 2, 4, 3, 1, 3, 2, 3, 3, 3, 0, 4, 3, 0, 3, 4, 1, 3, 2, 0, 1, 2, 0, 0, 4, 0, 3, 4, 4, 2, 3, 2, 4, 4, 4, 3, 1, 0, 2, 2, 1, 4, 2, 2, 0, 4, 0, 4, 2, 3, 3, 1, 4, 2, 4, 2, 4, 4, 4, 1, 2, 3, 4, 3, 2, 4, 3, 1, 3, 1, 3, 0, 4, 3, 4, 1, 1, 1, 1, 2, 2, 3, 3, 1, 3, 4, 1, 4, 0, 1, 4, 2, 1, 3, 1, 3, 2, 1, 4, 0, 1, 2, 2, 1, 1, 0, 3, 0, 3, 1, 1, 1, 3, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 3, 3, 3, 1, 3, 4, 1, 1, 1, 0, 0, 2, 0, 4, 3, 4, 3, 3, 4, 0, 4, 0, 3, 2, 2, 0, 1, 2, 2, 2, 3, 4, 4, 3, 3, 4, 2, 4, 4, 4]
pubkeycol902 = [0, 4, 4, 2, 0, 3, 4, 2, 3, 4, 2, 0, 4, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 3, 4, 3, 0, 3, 0, 3, 3, 0, 1, 4, 3, 0, 1, 2, 0, 3, 1, 3, 0, 0, 3, 4, 1, 4, 2, 3, 0, 0, 0, 0, 3, 4, 2, 4, 2, 4, 0, 1, 0, 1, 3, 3, 2, 3, 2, 0, 3, 0, 3, 3, 0, 1, 3, 0, 4, 1, 1, 2, 0, 0, 2, 3, 3, 4, 4, 4, 1, 0, 2, 3, 1, 4, 4, 3, 0, 4, 1, 1, 1, 1, 0, 2, 3, 2, 1, 1, 4, 1, 4, 4, 2, 1, 2, 3, 3, 0, 3, 2, 2, 1, 4, 4, 0, 3, 0, 1, 3, 4, 1, 2, 1, 1, 1, 1, 2, 3, 0, 1, 2, 3, 0, 4, 4, 4, 3, 4, 1, 4, 1, 2, 2, 4, 0, 2, 1, 1, 4, 4, 0, 4, 4, 3, 4, 3, 3, 2, 4, 3, 1, 0, 0, 4, 1, 2, 3, 4, 1, 2, 1, 1, 3, 1, 0, 4, 2, 4, 3, 4, 0, 1, 1, 0, 4, 4, 3, 2, 2, 0, 2, 2, 1, 1, 4, 1, 0, 4, 0, 4, 2, 0, 0, 3, 0, 0, 2, 4, 4, 2, 1, 2, 2, 3, 2, 0, 3, 3, 2, 4, 3, 1, 1, 4, 2, 2, 4, 2, 1, 1, 0, 3, 2, 1, 1, 2, 2, 0, 0, 3, 3, 1, 0, 4, 1, 2, 3, 4, 3, 1, 4, 4, 1, 3, 1, 0, 2, 2, 1, 3, 2, 3, 3, 0, 0, 3, 2, 1, 0, 4, 3, 1, 0, 4, 0, 3, 1, 0, 3, 0, 0, 0, 4, 4, 2, 3, 2, 0, 0, 2, 4, 0, 1, 1, 0, 2, 1, 0, 0, 0, 4, 1]
pubkeycol903 = [3, 1, 4, 2, 0, 0, 4, 2, 1, 2, 4, 2, 2, 4, 4, 4, 4, 3, 4, 1, 4, 4, 1, 3, 1, 3, 0, 4, 0, 0, 0, 0, 4, 2, 1, 2, 4, 1, 2, 3, 4, 2, 0, 1, 0, 4, 4, 4, 1, 4, 2, 2, 2, 2, 4, 4, 1, 4, 1, 2, 3, 0, 2, 1, 4, 4, 2, 2, 4, 3, 2, 0, 2, 4, 4, 2, 0, 0, 4, 3, 0, 1, 3, 3, 0, 2, 2, 4, 0, 3, 4, 3, 3, 3, 1, 0, 0, 0, 1, 3, 3, 2, 4, 2, 2, 3, 2, 2, 0, 4, 1, 2, 2, 1, 4, 2, 0, 4, 1, 4, 4, 3, 4, 3, 3, 1, 0, 1, 1, 1, 3, 3, 4, 2, 2, 0, 0, 2, 4, 4, 1, 1, 0, 0, 3, 1, 0, 0, 1, 2, 4, 3, 2, 2, 3, 3, 1, 4, 3, 2, 3, 3, 0, 4, 1, 1, 1, 2, 1, 1, 4, 1, 3, 3, 3, 4, 4, 2, 3, 3, 4, 0, 2, 0, 3, 4, 1, 1, 3, 2, 2, 1, 2, 4, 1, 1, 0, 1, 2, 1, 4, 3, 3, 4, 0, 0, 0, 2, 0, 3, 3, 3, 1, 0, 1, 1, 2, 3, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 4, 4, 1, 3, 0, 3, 4, 3, 0, 2, 0, 2, 4, 4, 0, 1, 2, 0, 4, 3, 1, 3, 4, 2, 4, 1, 3, 2, 4, 4, 1, 3, 4, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 3, 4, 1, 2, 3, 3, 2, 3, 1, 0, 3, 3, 0, 3, 3, 1, 1, 4, 2, 1, 1, 0, 2, 2, 3, 3, 4, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 3, 3]
pubkeycol904 = [4, 4, 0, 0, 1, 1, 3, 4, 2, 2, 4, 3, 1, 3, 4, 1, 0, 1, 3, 2, 4, 2, 4, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 3, 3, 2, 4, 4, 4, 1, 3, 3, 4, 1, 2, 0, 3, 2, 2, 1, 3, 2, 3, 2, 1, 0, 4, 1, 2, 2, 0, 4, 4, 2, 1, 4, 2, 1, 2, 0, 0, 4, 0, 0, 4, 1, 4, 4, 4, 4, 1, 2, 1, 1, 3, 2, 0, 4, 4, 1, 2, 0, 0, 2, 2, 3, 0, 4, 1, 4, 0, 2, 4, 0, 3, 4, 0, 1, 2, 2, 1, 0, 3, 2, 0, 1, 4, 4, 0, 4, 4, 1, 0, 3, 1, 2, 3, 1, 3, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 3, 0, 1, 1, 1, 1, 2, 3, 0, 4, 1, 1, 4, 2, 3, 3, 3, 1, 3, 3, 4, 2, 3, 4, 1, 1, 2, 0, 2, 1, 3, 3, 4, 1, 3, 2, 4, 1, 1, 3, 1, 4, 3, 2, 3, 1, 3, 1, 1, 3, 1, 3, 3, 0, 1, 4, 1, 3, 1, 0, 0, 0, 2, 3, 1, 3, 1, 3, 4, 1, 1, 4, 0, 4, 3, 4, 2, 3, 3, 1, 4, 2, 4, 2, 1, 2, 4, 4, 0, 1, 0, 1, 4, 4, 0, 4, 1, 4, 2, 1, 1, 1, 2, 0, 3, 0, 1, 1, 1, 4, 4, 3, 2, 4, 3, 2, 3, 2, 3, 4, 0, 3, 3, 4, 2, 3, 3, 4, 4, 0, 2, 1, 0, 2, 4, 3, 4, 3, 0, 2, 0, 4, 4, 0, 0, 2, 3, 2, 4, 1, 3, 3, 2, 3, 4, 2, 4, 0, 1, 3, 2, 4, 0, 4, 2, 3, 4, 2, 0, 0, 0, 1, 1, 0, 3, 1, 4]
pubkeycol905 = [0, 4, 1, 1, 1, 1, 4, 1, 1, 3, 2, 4, 0, 4, 0, 3, 2, 2, 2, 3, 1, 0, 2, 4, 2, 1, 2, 2, 3, 2, 2, 2, 1, 4, 3, 1, 0, 1, 0, 4, 1, 1, 3, 4, 0, 4, 4, 4, 1, 0, 3, 3, 3, 2, 4, 4, 3, 3, 2, 0, 2, 2, 0, 1, 4, 3, 2, 1, 3, 1, 4, 2, 1, 4, 2, 4, 4, 4, 1, 2, 2, 3, 2, 0, 1, 2, 2, 2, 4, 0, 3, 4, 3, 3, 0, 0, 1, 4, 3, 2, 2, 4, 3, 1, 2, 2, 3, 1, 3, 0, 2, 2, 3, 2, 4, 3, 1, 3, 4, 1, 3, 0, 3, 0, 1, 1, 2, 0, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 0, 2, 3, 0, 3, 0, 4, 3, 1, 2, 4, 3, 4, 2, 2, 1, 3, 4, 3, 1, 2, 3, 1, 4, 2, 0, 4, 0, 0, 3, 3, 3, 1, 0, 1, 2, 2, 1, 4, 0, 4, 4, 2, 2, 4, 4, 2, 1, 0, 0, 3, 4, 0, 4, 2, 0, 2, 0, 3, 2, 1, 0, 4, 3, 3, 4, 4, 2, 3, 0, 2, 1, 3, 2, 1, 4, 1, 3, 2, 4, 0, 0, 3, 0, 3, 1, 1, 4, 1, 0, 1, 2, 0, 0, 1, 3, 3, 3, 0, 0, 3, 3, 1, 2, 0, 2, 0, 0, 0, 1, 0, 3, 4, 2, 1, 2, 4, 3, 0, 2, 0, 1, 1, 2, 4, 0, 4, 4, 1, 4, 0, 3, 4, 2, 0, 0, 1, 0, 4, 1, 4, 4, 2, 1, 2, 1, 4, 1, 3, 0, 0, 1, 4, 1, 0, 0, 1, 2, 4, 4, 4, 3, 1, 0, 3, 0, 4, 1, 3, 3, 0, 1, 2, 3, 3, 0, 4, 1, 3, 1, 0, 0]
pubkeycol906 = [4, 1, 1, 4, 3, 2, 4, 2, 3, 0, 1, 2, 1, 3, 4, 2, 2, 0, 3, 4, 2, 3, 2, 4, 3, 4, 3, 1, 4, 4, 1, 1, 3, 0, 0, 4, 1, 0, 3, 4, 1, 4, 4, 1, 1, 2, 4, 2, 3, 2, 2, 1, 4, 3, 3, 0, 0, 4, 2, 4, 3, 2, 2, 1, 2, 3, 2, 2, 3, 3, 2, 2, 4, 4, 4, 0, 2, 3, 0, 3, 4, 2, 2, 1, 3, 1, 4, 1, 0, 3, 1, 3, 3, 1, 0, 0, 1, 1, 0, 3, 3, 2, 3, 1, 1, 0, 3, 2, 2, 2, 2, 3, 0, 4, 3, 4, 1, 0, 2, 0, 2, 2, 2, 4, 4, 0, 4, 2, 0, 0, 3, 4, 3, 1, 3, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 2, 4, 3, 4, 4, 1, 4, 0, 2, 3, 0, 3, 2, 3, 0, 3, 2, 1, 1, 2, 2, 3, 2, 2, 0, 2, 4, 4, 1, 0, 4, 3, 2, 3, 1, 2, 1, 3, 1, 4, 0, 0, 3, 0, 4, 1, 3, 2, 3, 3, 0, 1, 3, 2, 4, 3, 1, 4, 3, 4, 2, 0, 1, 3, 4, 1, 1, 4, 3, 4, 1, 1, 1, 3, 4, 0, 1, 4, 1, 1, 2, 2, 0, 1, 2, 2, 2, 4, 1, 0, 4, 0, 3, 0, 4, 2, 1, 4, 2, 1, 3, 3, 0, 4, 1, 4, 1, 3, 3, 4, 0, 0, 2, 1, 4, 3, 4, 3, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 4, 1, 1, 4, 1, 0, 4, 4, 4, 1, 2, 4, 0, 2, 0, 2, 2, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 2, 0, 3, 2, 1, 2, 4, 3, 0, 2, 2, 1, 2, 1, 4, 1, 0, 3, 3]
pubkeycol907 = [3, 3, 4, 3, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 3, 4, 0, 0, 1, 1, 0, 1, 2, 1, 0, 3, 0, 1, 3, 3, 2, 1, 3, 2, 2, 2, 0, 3, 4, 0, 1, 3, 3, 2, 1, 3, 4, 2, 0, 3, 1, 3, 4, 1, 3, 4, 1, 1, 4, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 4, 2, 1, 1, 4, 3, 3, 2, 3, 4, 3, 0, 0, 2, 1, 1, 3, 2, 2, 0, 4, 0, 3, 2, 1, 0, 3, 3, 4, 3, 4, 4, 0, 4, 1, 0, 3, 1, 4, 3, 3, 1, 3, 1, 0, 3, 1, 1, 0, 0, 3, 4, 2, 1, 1, 1, 2, 3, 0, 4, 2, 2, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 4, 1, 2, 2, 3, 2, 0, 0, 0, 2, 3, 0, 0, 2, 4, 3, 1, 0, 4, 2, 1, 4, 1, 3, 2, 3, 4, 1, 0, 4, 2, 4, 4, 0, 2, 1, 1, 4, 1, 2, 0, 3, 2, 1, 0, 1, 4, 0, 4, 4, 3, 1, 0, 2, 4, 3, 1, 2, 3, 4, 2, 3, 2, 1, 3, 0, 4, 1, 3, 2, 2, 1, 0, 4, 0, 1, 3, 0, 3, 3, 1, 4, 3, 3, 0, 2, 3, 4, 0, 0, 3, 3, 1, 4, 3, 2, 4, 2, 4, 0, 1, 0, 3, 1, 3, 1, 3, 0, 3, 3, 2, 3, 4, 1, 2, 3, 1, 0, 4, 3, 0, 2, 2, 2, 2, 0, 1, 3, 0, 4, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 4, 3, 1, 0, 1, 0, 2, 3, 3, 3, 3, 0, 3, 0, 3, 1, 1, 3, 2, 3, 0, 2, 4, 4, 3, 1, 3, 4, 1, 3, 3, 4]
pubkeycol908 = [1, 2, 4, 2, 2, 0, 4, 3, 1, 4, 4, 4, 2, 4, 1, 1, 3, 3, 3, 1, 3, 4, 3, 4, 4, 4, 4, 3, 1, 1, 4, 0, 0, 2, 2, 4, 2, 2, 2, 1, 0, 3, 4, 1, 0, 4, 2, 0, 0, 3, 0, 0, 4, 2, 2, 3, 4, 2, 0, 4, 2, 0, 0, 1, 3, 1, 2, 3, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 2, 2, 1, 1, 1, 3, 4, 1, 1, 4, 3, 2, 0, 4, 0, 0, 3, 1, 4, 1, 3, 2, 2, 0, 4, 4, 4, 3, 4, 3, 0, 0, 3, 0, 1, 3, 1, 3, 1, 1, 3, 3, 1, 2, 4, 0, 3, 0, 4, 4, 4, 0, 4, 2, 3, 2, 3, 4, 3, 2, 0, 2, 0, 3, 1, 0, 4, 4, 4, 1, 2, 4, 0, 1, 0, 4, 0, 0, 0, 2, 4, 1, 1, 4, 2, 3, 1, 4, 3, 4, 4, 4, 0, 3, 4, 1, 1, 0, 1, 3, 4, 0, 4, 4, 3, 0, 1, 3, 2, 4, 1, 3, 1, 3, 4, 1, 2, 3, 2, 0, 4, 0, 2, 1, 1, 1, 0, 2, 3, 4, 4, 2, 1, 1, 1, 2, 1, 0, 3, 1, 2, 3, 0, 0, 4, 0, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 0, 4, 0, 3, 0, 1, 2, 0, 3, 4, 2, 2, 2, 1, 4, 2, 0, 2, 1, 2, 3, 4, 1, 3, 3, 4, 0, 2, 3, 3, 4, 2, 4, 0, 1, 3, 0, 3, 3, 0, 4, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 3, 4, 1, 3, 4, 3, 4, 3, 4, 2, 0, 0, 4, 2, 2, 3, 4, 2, 3, 3, 0, 3, 1, 2, 4, 0, 3, 3, 1, 4, 2, 0, 4]
pubkeycol909 = [0, 3, 0, 0, 4, 0, 2, 3, 1, 0, 1, 4, 3, 4, 2, 4, 3, 4, 2, 4, 4, 3, 0, 4, 4, 0, 3, 3, 2, 3, 2, 0, 4, 2, 1, 3, 1, 3, 3, 1, 2, 0, 2, 0, 0, 4, 3, 3, 2, 2, 2, 1, 0, 3, 0, 0, 1, 0, 2, 0, 1, 3, 3, 0, 0, 2, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 3, 4, 1, 0, 1, 3, 3, 4, 4, 0, 2, 0, 1, 0, 3, 1, 1, 0, 2, 0, 3, 2, 0, 4, 0, 1, 1, 3, 0, 4, 3, 2, 3, 2, 2, 4, 3, 3, 4, 3, 4, 1, 2, 1, 0, 4, 2, 2, 2, 3, 4, 3, 2, 1, 2, 4, 1, 4, 2, 0, 4, 3, 3, 3, 4, 4, 4, 1, 2, 1, 2, 4, 3, 0, 2, 1, 3, 1, 3, 1, 1, 1, 0, 4, 1, 3, 2, 1, 2, 3, 0, 4, 3, 1, 4, 1, 0, 3, 3, 4, 1, 0, 0, 1, 1, 4, 1, 4, 1, 4, 2, 3, 3, 4, 0, 1, 1, 1, 0, 1, 4, 1, 3, 4, 4, 1, 4, 0, 3, 0, 2, 4, 4, 2, 2, 4, 4, 2, 4, 0, 2, 2, 2, 2, 4, 3, 3, 2, 2, 1, 3, 4, 0, 0, 4, 4, 3, 0, 0, 1, 3, 2, 4, 2, 2, 3, 0, 1, 0, 4, 3, 1, 4, 2, 0, 3, 2, 3, 1, 0, 1, 0, 3, 0, 0, 4, 0, 4, 1, 0, 1, 0, 0, 3, 2, 2, 4, 1, 4, 2, 2, 1, 1, 0, 2, 3, 0, 2, 3, 2, 1, 4, 0, 3, 4, 1, 1, 0, 2, 0, 4, 0, 2, 1, 2, 4, 2, 1, 0, 4, 0, 2, 2, 1, 2, 0, 2, 0, 4, 3, 3, 2, 2]
pubkeycol910 = [4, 3, 0, 1, 3, 0, 1, 3, 1, 4, 3, 2, 3, 4, 2, 0, 3, 3, 4, 4, 3, 4, 4, 1, 1, 4, 2, 0, 4, 0, 4, 3, 3, 4, 1, 2, 0, 1, 1, 3, 2, 1, 1, 1, 0, 3, 4, 3, 3, 0, 2, 1, 3, 1, 0, 0, 4, 2, 4, 3, 2, 2, 0, 3, 0, 3, 3, 4, 2, 3, 2, 0, 3, 4, 1, 4, 1, 1, 3, 4, 2, 4, 2, 4, 3, 4, 3, 4, 1, 4, 4, 2, 3, 4, 0, 4, 3, 0, 0, 1, 0, 2, 4, 1, 1, 2, 2, 1, 4, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 1, 3, 2, 3, 0, 0, 1, 4, 2, 2, 3, 4, 1, 0, 0, 0, 3, 4, 1, 2, 4, 1, 2, 4, 2, 4, 3, 0, 2, 0, 4, 2, 3, 0, 3, 3, 3, 3, 0, 1, 2, 1, 0, 3, 4, 3, 4, 3, 2, 1, 2, 3, 1, 2, 0, 1, 1, 4, 1, 2, 3, 2, 3, 0, 4, 0, 0, 2, 3, 3, 3, 2, 1, 1, 2, 0, 4, 0, 3, 2, 2, 0, 3, 2, 1, 1, 3, 0, 2, 3, 0, 1, 3, 0, 1, 1, 4, 0, 4, 0, 0, 3, 1, 1, 1, 1, 4, 3, 2, 4, 0, 1, 1, 0, 4, 0, 3, 3, 4, 2, 1, 1, 3, 1, 0, 0, 0, 0, 2, 3, 0, 1, 3, 3, 4, 3, 1, 3, 3, 1, 3, 3, 0, 0, 4, 0, 0, 1, 2, 4, 1, 3, 4, 0, 2, 2, 1, 2, 4, 0, 2, 0, 2, 4, 0, 0, 2, 3, 4, 4, 4, 0, 4, 3, 0, 3, 1, 1, 1, 3, 3, 1, 3, 2, 2, 1, 1, 3, 3, 2, 2, 2, 3, 1, 0, 1, 1, 0, 4, 0]
pubkeycol911 = [2, 3, 0, 1, 1, 3, 4, 3, 0, 1, 4, 2, 4, 2, 3, 1, 4, 4, 2, 4, 4, 3, 2, 1, 0, 0, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 0, 4, 0, 3, 2, 2, 2, 0, 1, 0, 0, 2, 0, 3, 3, 4, 0, 3, 1, 0, 3, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 4, 0, 2, 0, 0, 0, 1, 3, 0, 4, 2, 4, 4, 0, 4, 2, 4, 1, 0, 0, 4, 0, 1, 4, 3, 3, 4, 4, 0, 2, 0, 1, 1, 0, 4, 0, 1, 1, 0, 2, 4, 1, 4, 0, 4, 4, 2, 0, 2, 4, 3, 3, 1, 3, 4, 4, 2, 0, 4, 1, 3, 4, 3, 2, 2, 0, 1, 3, 3, 0, 2, 1, 2, 2, 0, 4, 3, 1, 4, 1, 0, 2, 0, 1, 3, 4, 0, 1, 2, 0, 1, 3, 3, 2, 4, 1, 0, 4, 3, 4, 2, 1, 1, 0, 3, 3, 0, 0, 1, 4, 3, 4, 1, 0, 2, 2, 2, 3, 1, 4, 4, 4, 1, 2, 2, 3, 1, 3, 1, 4, 0, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 2, 4, 1, 0, 1, 1, 4, 1, 4, 3, 0, 2, 4, 4, 2, 3, 4, 4, 2, 2, 0, 2, 0, 1, 2, 3, 2, 0, 2, 3, 2, 3, 3, 1, 1, 0, 3, 0, 3, 2, 2, 2, 1, 0, 2, 4, 3, 2, 4, 4, 2, 3, 3, 2, 4, 3, 1, 3, 4, 1, 3, 3, 3, 2, 3, 4, 0, 4, 2, 1, 1, 1, 1, 4, 1, 4, 3, 3, 2, 1, 4, 0, 4, 3, 3, 2, 0, 2, 1, 1, 1, 4, 3, 0, 3, 4, 0, 0, 3, 2, 1, 2, 1, 0, 3, 4, 1, 3, 0, 4, 3, 0]
pubkeycol912 = [3, 1, 2, 2, 0, 2, 1, 2, 4, 0, 4, 2, 4, 1, 0, 0, 2, 0, 3, 0, 1, 4, 1, 2, 0, 1, 3, 0, 2, 1, 3, 1, 3, 1, 0, 0, 1, 1, 4, 2, 0, 0, 1, 0, 4, 0, 1, 3, 2, 3, 0, 0, 4, 3, 4, 2, 4, 1, 3, 0, 2, 0, 0, 0, 4, 0, 4, 2, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 3, 4, 1, 4, 2, 1, 4, 3, 1, 0, 4, 4, 3, 2, 1, 3, 2, 4, 1, 3, 1, 0, 4, 2, 0, 2, 4, 3, 3, 0, 1, 2, 3, 2, 1, 4, 1, 3, 1, 4, 1, 3, 4, 0, 2, 3, 0, 0, 2, 2, 1, 0, 0, 0, 3, 1, 4, 2, 1, 0, 1, 2, 2, 2, 3, 1, 3, 0, 2, 1, 2, 2, 4, 4, 1, 1, 3, 2, 0, 4, 3, 2, 1, 4, 3, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 0, 4, 1, 1, 3, 0, 4, 3, 4, 2, 0, 4, 1, 3, 2, 4, 2, 0, 2, 1, 2, 0, 0, 4, 2, 1, 0, 3, 3, 0, 1, 4, 1, 3, 4, 4, 3, 3, 4, 4, 2, 2, 1, 1, 2, 1, 0, 1, 4, 0, 0, 2, 2, 3, 0, 4, 4, 2, 3, 1, 4, 2, 0, 1, 1, 4, 0, 2, 0, 0, 1, 1, 3, 1, 2, 0, 3, 0, 3, 1, 0, 1, 2, 3, 3, 4, 1, 1, 2, 2, 3, 0, 3, 1, 4, 1, 4, 3, 4, 3, 1, 1, 1, 2, 1, 4, 4, 1, 4, 4, 1, 3, 3, 3, 2, 4, 2, 0, 2, 4, 3, 1, 4, 4, 1, 2, 2, 1, 2, 1, 1, 4, 2, 3, 0, 0, 2, 0, 1, 0, 1]
pubkeycol913 = [0, 2, 0, 2, 4, 0, 2, 2, 0, 1, 1, 3, 0, 2, 2, 2, 2, 1, 2, 3, 3, 1, 1, 3, 3, 0, 0, 2, 1, 2, 4, 3, 3, 0, 4, 2, 3, 2, 4, 0, 3, 0, 4, 4, 0, 2, 3, 4, 0, 2, 1, 2, 3, 3, 0, 1, 4, 4, 1, 0, 4, 4, 0, 0, 4, 2, 4, 2, 4, 3, 0, 4, 0, 0, 1, 1, 2, 3, 4, 4, 2, 2, 2, 1, 0, 3, 4, 1, 1, 1, 4, 1, 1, 2, 2, 0, 3, 3, 3, 0, 0, 3, 2, 1, 0, 3, 1, 2, 1, 0, 0, 3, 3, 3, 1, 3, 4, 1, 0, 1, 2, 0, 3, 0, 1, 0, 0, 3, 4, 1, 4, 2, 2, 1, 1, 0, 0, 4, 3, 2, 4, 4, 4, 4, 2, 1, 3, 1, 1, 3, 3, 2, 4, 3, 1, 4, 2, 2, 1, 4, 0, 1, 2, 3, 0, 3, 0, 0, 4, 1, 4, 0, 1, 4, 1, 2, 4, 4, 0, 1, 2, 3, 1, 3, 2, 4, 3, 4, 1, 3, 2, 1, 4, 3, 1, 3, 0, 0, 4, 4, 0, 3, 3, 1, 3, 0, 4, 2, 1, 4, 4, 3, 0, 1, 0, 4, 4, 4, 1, 4, 3, 2, 4, 4, 4, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 0, 2, 3, 3, 1, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 3, 3, 4, 0, 1, 3, 4, 0, 1, 2, 2, 0, 1, 1, 0, 4, 1, 0, 3, 3, 3, 2, 2, 3, 2, 4, 1, 4, 1, 1, 0, 3, 3, 2, 0, 1, 4, 3, 4, 2, 2, 1, 3, 4, 0, 1, 2, 4, 2, 3, 4, 0, 3, 3, 2, 3, 1, 1, 0, 1, 3, 1, 1, 4, 2, 3, 0]
pubkeycol914 = [0, 1, 0, 1, 1, 4, 1, 0, 1, 0, 0, 1, 1, 2, 4, 1, 1, 2, 3, 0, 1, 2, 4, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 3, 0, 4, 1, 3, 2, 4, 1, 2, 1, 1, 2, 2, 4, 4, 3, 4, 1, 4, 4, 3, 1, 3, 3, 0, 3, 3, 2, 1, 2, 4, 2, 4, 4, 4, 1, 2, 2, 0, 3, 0, 4, 3, 2, 2, 1, 2, 2, 3, 3, 1, 0, 0, 2, 1, 2, 4, 1, 0, 0, 2, 1, 4, 2, 1, 0, 1, 2, 0, 3, 1, 4, 1, 3, 2, 4, 4, 1, 4, 1, 2, 0, 1, 3, 3, 0, 1, 3, 2, 3, 4, 0, 0, 1, 4, 2, 2, 1, 0, 1, 1, 3, 3, 1, 2, 2, 4, 1, 3, 1, 0, 3, 3, 4, 0, 2, 2, 4, 2, 4, 0, 4, 0, 4, 2, 4, 0, 4, 4, 1, 1, 1, 2, 1, 0, 1, 1, 3, 4, 2, 3, 1, 3, 3, 1, 3, 2, 3, 1, 2, 4, 3, 4, 2, 2, 1, 3, 3, 2, 4, 0, 0, 4, 3, 0, 1, 2, 4, 4, 2, 4, 3, 0, 2, 2, 0, 2, 0, 3, 1, 3, 3, 4, 4, 1, 3, 1, 2, 2, 0, 1, 2, 0, 4, 3, 3, 0, 2, 4, 3, 3, 0, 2, 0, 0, 0, 1, 0, 1, 3, 4, 4, 0, 4, 3, 2, 3, 4, 2, 2, 4, 1, 4, 1, 1, 2, 1, 1, 2, 4, 2, 4, 3, 0, 0, 4, 2, 0, 0, 0, 2, 3, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 3, 0, 3, 2, 1, 3, 2, 3, 4, 1, 0, 4, 2, 1, 1, 1, 3, 2, 4, 3, 3, 0, 2, 4, 3, 1, 0, 2, 3, 3, 4, 3, 0, 3, 3]
pubkeycol915 = [4, 4, 4, 3, 4, 4, 1, 1, 3, 3, 2, 1, 3, 3, 0, 1, 2, 1, 1, 2, 0, 3, 4, 1, 2, 0, 2, 3, 0, 0, 3, 4, 1, 0, 1, 2, 1, 4, 4, 1, 4, 0, 1, 4, 1, 0, 4, 4, 2, 4, 3, 1, 3, 4, 2, 4, 2, 3, 0, 3, 1, 2, 0, 4, 0, 0, 3, 1, 2, 1, 0, 1, 2, 4, 2, 0, 4, 2, 2, 4, 1, 0, 3, 2, 1, 3, 4, 1, 4, 0, 3, 4, 3, 2, 0, 4, 1, 0, 2, 2, 2, 1, 4, 3, 0, 2, 4, 1, 1, 1, 0, 0, 3, 4, 3, 2, 3, 3, 3, 0, 1, 0, 1, 3, 0, 4, 0, 0, 2, 0, 4, 3, 0, 3, 2, 4, 0, 2, 2, 0, 0, 2, 3, 2, 0, 3, 4, 2, 3, 4, 3, 0, 2, 3, 4, 0, 0, 4, 4, 4, 1, 2, 0, 0, 2, 2, 4, 2, 2, 3, 2, 3, 3, 4, 1, 0, 1, 4, 1, 4, 2, 3, 0, 3, 2, 3, 1, 0, 2, 0, 0, 2, 3, 3, 1, 2, 1, 4, 1, 0, 3, 1, 0, 3, 3, 4, 0, 3, 0, 2, 2, 1, 0, 4, 0, 0, 4, 2, 3, 2, 2, 0, 4, 2, 4, 1, 2, 1, 0, 3, 2, 1, 3, 2, 4, 0, 3, 2, 1, 3, 0, 4, 3, 1, 4, 0, 2, 0, 4, 4, 4, 2, 0, 4, 4, 2, 0, 3, 3, 1, 2, 1, 0, 4, 2, 2, 4, 3, 4, 1, 0, 0, 3, 2, 2, 4, 0, 4, 0, 2, 0, 0, 1, 2, 1, 4, 2, 3, 2, 2, 2, 2, 3, 4, 1, 4, 1, 1, 3, 2, 3, 2, 1, 4, 4, 2, 4, 1, 2, 2, 2, 2, 4, 0, 0, 4, 1, 1, 2, 1]
pubkeycol916 = [4, 3, 3, 3, 1, 3, 3, 4, 3, 1, 0, 1, 0, 0, 0, 0, 1, 3, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 3, 4, 2, 2, 3, 0, 0, 2, 3, 4, 0, 4, 3, 4, 0, 2, 0, 1, 4, 4, 2, 4, 0, 2, 1, 0, 1, 3, 3, 2, 0, 4, 2, 3, 3, 2, 3, 0, 2, 2, 0, 4, 4, 0, 3, 2, 2, 4, 2, 0, 4, 3, 1, 3, 0, 2, 0, 2, 0, 3, 3, 4, 3, 1, 4, 2, 0, 3, 1, 0, 1, 3, 1, 2, 2, 1, 4, 4, 3, 0, 0, 4, 0, 1, 0, 2, 4, 4, 3, 0, 0, 0, 1, 0, 1, 0, 1, 4, 0, 4, 4, 2, 1, 1, 0, 4, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 1, 2, 0, 4, 2, 0, 1, 4, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 4, 1, 1, 3, 3, 1, 3, 2, 2, 2, 4, 3, 2, 2, 4, 3, 1, 0, 2, 1, 4, 0, 4, 3, 2, 1, 4, 2, 3, 3, 4, 0, 2, 4, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 3, 1, 0, 1, 2, 0, 1, 1, 0, 3, 3, 3, 1, 3, 2, 3, 4, 4, 4, 0, 2, 0, 1, 2, 4, 3, 4, 2, 4, 0, 3, 0, 1, 4, 3, 0, 2, 1, 0, 4, 3, 4, 1, 3, 0, 1, 1, 0, 3, 1, 1, 4, 2, 2, 4, 2, 3, 0, 4, 4, 2, 0, 1, 3, 2, 4, 2, 0, 3, 0, 1, 3, 2, 3, 4, 4, 3, 3, 4, 1, 3, 2, 2, 0, 2, 4, 3, 2, 3, 4, 3, 2, 1, 0, 3, 0, 2]
pubkeycol917 = [2, 0, 1, 4, 3, 2, 3, 2, 1, 1, 4, 1, 2, 4, 4, 3, 3, 4, 4, 2, 4, 0, 2, 1, 1, 4, 4, 2, 3, 1, 1, 1, 3, 0, 2, 0, 1, 4, 4, 0, 1, 0, 3, 3, 4, 0, 4, 3, 1, 2, 0, 0, 1, 4, 1, 1, 4, 4, 4, 1, 1, 0, 4, 1, 1, 1, 0, 3, 2, 4, 1, 0, 4, 2, 3, 4, 1, 3, 1, 3, 1, 0, 0, 1, 4, 2, 1, 3, 4, 0, 0, 2, 4, 0, 0, 2, 1, 1, 1, 0, 4, 4, 0, 2, 4, 3, 0, 3, 4, 4, 4, 1, 1, 4, 4, 0, 0, 3, 3, 1, 2, 2, 4, 2, 4, 3, 4, 3, 4, 4, 1, 2, 3, 1, 1, 1, 1, 4, 2, 1, 1, 2, 2, 1, 1, 4, 0, 0, 1, 1, 4, 0, 3, 4, 0, 1, 0, 3, 2, 3, 1, 0, 4, 4, 3, 1, 1, 3, 4, 3, 2, 1, 3, 2, 4, 3, 3, 2, 1, 2, 0, 1, 4, 0, 4, 2, 0, 4, 1, 3, 0, 4, 3, 4, 2, 4, 0, 3, 1, 3, 0, 3, 0, 1, 0, 3, 2, 0, 0, 0, 4, 3, 2, 1, 1, 3, 0, 4, 2, 2, 1, 4, 0, 4, 3, 3, 4, 4, 2, 1, 4, 2, 4, 3, 1, 4, 0, 0, 2, 0, 0, 2, 3, 1, 3, 1, 4, 1, 3, 2, 4, 4, 1, 3, 2, 2, 0, 4, 4, 2, 4, 1, 0, 0, 1, 2, 4, 1, 4, 3, 4, 1, 3, 2, 2, 0, 4, 2, 4, 1, 2, 3, 1, 2, 4, 4, 4, 3, 0, 0, 2, 2, 4, 3, 3, 2, 1, 0, 1, 4, 2, 3, 3, 1, 3, 0, 0, 1, 4, 2, 1, 4, 3, 1, 2, 0, 1, 3, 2, 2]
pubkeycol918 = [0, 4, 4, 3, 4, 4, 1, 1, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 0, 4, 1, 0, 4, 1, 0, 4, 4, 0, 0, 3, 3, 0, 0, 0, 2, 3, 3, 3, 4, 2, 1, 1, 0, 2, 0, 0, 2, 4, 2, 0, 2, 2, 4, 1, 3, 3, 4, 0, 1, 2, 0, 3, 2, 4, 2, 2, 2, 2, 1, 4, 3, 1, 4, 1, 2, 1, 0, 4, 3, 1, 1, 0, 1, 4, 0, 1, 2, 1, 0, 0, 0, 2, 4, 3, 3, 1, 0, 3, 0, 3, 0, 3, 4, 0, 2, 4, 2, 1, 1, 2, 0, 1, 4, 1, 1, 2, 2, 4, 3, 1, 0, 0, 1, 2, 0, 3, 1, 4, 2, 0, 2, 4, 1, 0, 4, 2, 1, 0, 3, 2, 1, 1, 2, 0, 2, 0, 4, 3, 3, 3, 3, 2, 2, 2, 1, 3, 3, 1, 2, 3, 0, 2, 2, 2, 0, 3, 4, 0, 2, 3, 0, 0, 2, 2, 1, 3, 3, 2, 3, 0, 3, 0, 0, 0, 3, 1, 3, 0, 2, 4, 1, 0, 3, 4, 0, 2, 3, 1, 3, 1, 4, 2, 3, 4, 0, 3, 4, 2, 1, 3, 3, 0, 2, 0, 1, 3, 2, 1, 4, 3, 0, 0, 3, 3, 0, 1, 0, 0, 1, 2, 4, 2, 3, 3, 3, 1, 0, 0, 2, 3, 3, 3, 4, 2, 1, 3, 4, 2, 3, 4, 0, 0, 0, 2, 1, 1, 2, 3, 3, 2, 3, 1, 0, 1, 2, 0, 2, 2, 4, 1, 1, 1, 2, 0, 2, 1, 3, 0, 2, 4, 0, 4, 1, 1, 0, 3, 2, 2, 4, 3, 0, 2, 3, 3, 1, 0, 2, 0, 4, 0, 2, 4, 2, 2, 3, 0, 1, 3, 1, 4, 3, 0, 2, 4, 1, 1, 4, 1, 2, 2]
pubkeycol919 = [3, 0, 4, 0, 3, 1, 1, 0, 3, 3, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 4, 2, 3, 4, 4, 1, 4, 0, 3, 3, 2, 4, 1, 4, 4, 2, 4, 2, 0, 2, 2, 4, 3, 1, 4, 4, 2, 1, 2, 1, 3, 2, 0, 3, 3, 1, 0, 4, 1, 0, 1, 3, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 4, 4, 0, 0, 4, 4, 4, 1, 3, 3, 0, 4, 1, 4, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 3, 2, 1, 4, 2, 0, 0, 3, 4, 2, 3, 3, 4, 2, 2, 3, 1, 1, 2, 4, 1, 3, 0, 3, 1, 0, 4, 2, 4, 1, 3, 2, 1, 2, 4, 4, 3, 4, 4, 4, 0, 3, 3, 0, 3, 0, 0, 4, 4, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 4, 2, 2, 0, 4, 0, 3, 2, 2, 1, 3, 3, 1, 4, 2, 3, 0, 4, 3, 3, 0, 0, 4, 2, 0, 4, 2, 4, 4, 0, 2, 2, 1, 3, 0, 3, 3, 1, 2, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 4, 4, 0, 3, 0, 3, 4, 0, 3, 4, 3, 3, 1, 4, 1, 1, 2, 2, 4, 2, 1, 0, 2, 2, 4, 4, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 4, 3, 1, 1, 1, 4, 1, 0, 2, 4, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 4, 2, 2, 1, 1, 4, 0, 1, 4, 1, 1, 1, 1, 1, 3, 3, 3, 0, 4, 3, 4, 4, 0, 1, 0, 2, 4, 1, 1, 3, 4, 4, 3, 3, 3, 1, 2, 0, 2, 2, 2, 4, 0, 1, 0, 0, 4, 3, 0, 4, 3, 0, 4]
pubkeycol920 = [4, 4, 3, 2, 1, 2, 1, 2, 0, 3, 1, 3, 4, 4, 2, 2, 1, 3, 4, 2, 1, 3, 4, 2, 1, 0, 2, 3, 2, 3, 4, 4, 0, 0, 3, 3, 2, 1, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 3, 3, 3, 1, 4, 2, 1, 2, 0, 4, 3, 2, 2, 3, 3, 0, 0, 0, 2, 4, 3, 4, 3, 4, 2, 0, 3, 2, 4, 2, 0, 4, 1, 1, 4, 3, 2, 1, 0, 2, 1, 4, 0, 3, 4, 3, 4, 1, 3, 4, 0, 1, 4, 1, 1, 3, 3, 3, 4, 1, 3, 0, 1, 0, 0, 2, 0, 2, 3, 4, 2, 3, 3, 0, 3, 0, 3, 0, 1, 4, 1, 4, 3, 3, 1, 4, 2, 1, 2, 0, 3, 3, 0, 4, 0, 2, 3, 0, 1, 2, 3, 1, 4, 4, 3, 0, 0, 2, 1, 1, 3, 1, 0, 2, 1, 0, 0, 2, 4, 4, 2, 3, 4, 3, 2, 4, 2, 0, 0, 4, 4, 1, 4, 0, 3, 3, 1, 0, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 4, 2, 0, 1, 3, 2, 3, 1, 4, 0, 1, 4, 0, 2, 2, 1, 1, 0, 2, 4, 3, 3, 1, 3, 3, 0, 3, 1, 1, 1, 2, 1, 2, 2, 4, 3, 1, 4, 1, 0, 1, 3, 1, 3, 0, 3, 1, 3, 4, 0, 4, 1, 0, 2, 2, 1, 0, 3, 1, 4, 2, 1, 4, 1, 3, 1, 1, 0, 0, 3, 4, 4, 3, 0, 4, 4, 4, 1, 1, 0, 3, 2, 3, 0, 4, 4, 0, 3, 4, 1, 3, 1, 4, 2, 1, 4, 3, 4, 0, 4, 0, 1, 3, 2, 2, 1, 2, 0, 3, 0, 3, 4, 2, 2, 0, 1, 2, 0, 0, 4, 4, 4]
pubkeycol921 = [1, 3, 3, 1, 2, 3, 3, 3, 0, 2, 1, 4, 3, 4, 3, 2, 0, 0, 0, 0, 1, 2, 3, 3, 4, 3, 4, 1, 1, 4, 2, 4, 2, 2, 3, 3, 1, 4, 3, 2, 3, 3, 0, 4, 2, 4, 0, 0, 4, 0, 4, 3, 1, 0, 1, 1, 1, 3, 3, 4, 1, 2, 0, 3, 0, 1, 3, 4, 4, 3, 0, 1, 2, 0, 2, 1, 1, 3, 0, 0, 4, 2, 2, 1, 1, 1, 2, 0, 3, 0, 3, 2, 3, 2, 3, 2, 4, 3, 2, 4, 2, 3, 0, 4, 1, 3, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 4, 2, 2, 3, 4, 2, 4, 1, 1, 2, 3, 2, 0, 0, 3, 0, 0, 0, 4, 4, 0, 0, 2, 0, 3, 2, 3, 4, 4, 2, 0, 3, 2, 2, 1, 4, 2, 4, 0, 2, 2, 4, 3, 2, 2, 1, 2, 0, 3, 2, 4, 1, 2, 0, 2, 3, 4, 3, 2, 2, 2, 4, 3, 3, 3, 0, 0, 2, 1, 1, 2, 3, 4, 0, 3, 2, 1, 3, 2, 3, 4, 4, 1, 4, 4, 3, 4, 2, 2, 4, 4, 4, 0, 2, 3, 3, 3, 1, 2, 4, 4, 1, 4, 4, 0, 1, 1, 2, 0, 4, 2, 0, 4, 3, 1, 3, 4, 1, 4, 3, 2, 2, 0, 4, 2, 1, 4, 3, 4, 2, 0, 1, 4, 4, 1, 1, 3, 2, 3, 1, 2, 4, 3, 1, 3, 4, 4, 0, 2, 1, 3, 2, 0, 0, 3, 0, 0, 2, 4, 1, 1, 2, 0, 0, 0, 1, 2, 4, 2, 2, 0, 3, 0, 3, 2, 1, 3, 2, 2, 4, 2, 1, 1, 4, 0, 3, 2, 4, 0, 0, 1, 4, 4, 1, 0, 4, 1, 0, 2, 3, 0, 4]
pubkeycol922 = [2, 1, 2, 1, 2, 4, 4, 3, 1, 1, 4, 2, 1, 1, 2, 0, 1, 2, 0, 3, 2, 2, 0, 4, 2, 2, 0, 3, 1, 3, 1, 0, 1, 3, 3, 3, 1, 3, 2, 0, 2, 4, 2, 0, 0, 0, 2, 0, 4, 3, 1, 4, 2, 1, 3, 0, 0, 1, 1, 2, 4, 4, 4, 3, 1, 2, 3, 2, 2, 4, 0, 1, 2, 3, 1, 3, 3, 4, 3, 2, 0, 2, 3, 4, 0, 1, 1, 1, 2, 4, 2, 1, 3, 3, 0, 3, 4, 3, 0, 3, 3, 2, 3, 3, 3, 3, 2, 0, 0, 4, 0, 4, 2, 4, 1, 2, 0, 1, 3, 2, 1, 4, 4, 2, 2, 3, 3, 0, 3, 0, 0, 4, 4, 4, 4, 1, 4, 0, 4, 4, 2, 2, 3, 4, 2, 4, 4, 1, 3, 0, 4, 4, 2, 1, 2, 4, 2, 2, 3, 3, 3, 0, 1, 3, 2, 0, 0, 2, 0, 1, 3, 0, 3, 2, 2, 4, 2, 1, 2, 0, 0, 2, 4, 1, 4, 1, 4, 2, 0, 2, 2, 3, 0, 0, 4, 1, 1, 1, 4, 1, 3, 2, 1, 4, 2, 0, 1, 3, 0, 4, 1, 1, 1, 1, 0, 0, 2, 3, 0, 2, 1, 3, 1, 1, 4, 1, 0, 1, 4, 2, 1, 3, 4, 0, 2, 2, 3, 1, 4, 1, 3, 1, 0, 4, 0, 1, 2, 0, 4, 0, 0, 3, 4, 4, 0, 2, 4, 2, 0, 3, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 4, 4, 1, 2, 2, 2, 1, 3, 2, 3, 4, 1, 1, 3, 4, 3, 4, 3, 1, 1, 4, 2, 0, 1, 2, 2, 3, 3, 3, 2, 4, 0, 1, 1, 3, 3, 3, 2, 4, 3, 0, 4, 2, 4, 4, 1, 1, 2, 3]
pubkeycol923 = [4, 2, 3, 1, 1, 3, 3, 1, 3, 1, 3, 0, 2, 0, 4, 3, 1, 3, 3, 2, 3, 3, 3, 3, 3, 4, 2, 4, 4, 3, 0, 3, 2, 4, 3, 3, 1, 1, 0, 0, 1, 3, 0, 4, 1, 4, 2, 1, 4, 2, 1, 0, 4, 1, 3, 1, 0, 1, 4, 4, 3, 4, 3, 2, 3, 4, 3, 4, 4, 1, 4, 3, 1, 2, 0, 4, 3, 1, 0, 0, 1, 0, 1, 0, 1, 4, 3, 0, 1, 3, 0, 4, 4, 2, 2, 2, 3, 4, 0, 0, 3, 1, 1, 2, 2, 0, 4, 4, 4, 1, 4, 4, 0, 1, 3, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 1, 2, 1, 2, 0, 3, 2, 0, 2, 4, 3, 3, 4, 0, 2, 4, 0, 1, 3, 2, 2, 1, 2, 3, 0, 0, 4, 4, 0, 4, 4, 1, 0, 0, 3, 2, 1, 4, 3, 4, 3, 2, 3, 3, 1, 4, 2, 1, 3, 1, 2, 2, 3, 0, 1, 4, 0, 0, 2, 3, 0, 4, 3, 3, 4, 4, 3, 0, 2, 1, 1, 4, 3, 4, 4, 4, 0, 4, 2, 0, 1, 1, 3, 1, 4, 2, 2, 4, 2, 3, 1, 4, 0, 2, 3, 1, 3, 4, 3, 0, 0, 0, 0, 2, 3, 2, 0, 1, 1, 3, 1, 2, 1, 4, 0, 2, 3, 2, 2, 4, 0, 1, 3, 4, 3, 2, 4, 0, 0, 2, 1, 2, 4, 1, 1, 0, 4, 2, 1, 4, 4, 0, 1, 0, 1, 3, 2, 2, 0, 2, 4, 2, 1, 0, 3, 4, 3, 1, 4, 0, 1, 2, 3, 4, 1, 2, 4, 3, 0, 2, 3, 2, 4, 1, 0, 3, 4, 4, 1, 3, 0, 0, 1, 4, 3, 4, 2, 2, 3, 2, 4, 2, 0, 3, 2]
pubkeycol924 = [0, 0, 1, 4, 3, 2, 0, 4, 1, 2, 2, 2, 0, 3, 3, 2, 4, 3, 2, 2, 3, 4, 3, 4, 4, 4, 1, 2, 0, 2, 1, 1, 0, 0, 4, 0, 3, 0, 1, 2, 3, 3, 1, 1, 2, 3, 1, 3, 3, 0, 1, 0, 2, 4, 2, 4, 2, 1, 4, 4, 0, 0, 4, 0, 4, 0, 4, 1, 2, 1, 3, 3, 2, 4, 3, 2, 4, 3, 2, 4, 4, 4, 2, 3, 3, 1, 3, 1, 4, 3, 0, 2, 2, 4, 3, 3, 1, 1, 0, 1, 0, 1, 0, 3, 2, 3, 2, 1, 0, 1, 2, 0, 1, 2, 4, 0, 4, 1, 2, 0, 3, 1, 4, 1, 0, 3, 2, 2, 1, 3, 4, 0, 1, 2, 4, 1, 1, 3, 0, 1, 3, 2, 2, 0, 3, 3, 2, 2, 4, 0, 3, 0, 4, 1, 0, 4, 2, 1, 1, 0, 2, 3, 3, 3, 2, 0, 0, 1, 0, 3, 3, 1, 0, 1, 1, 3, 1, 4, 2, 2, 3, 4, 4, 1, 2, 4, 4, 2, 0, 1, 3, 0, 2, 0, 1, 3, 3, 4, 3, 2, 4, 1, 0, 3, 3, 1, 3, 2, 0, 2, 2, 1, 3, 3, 1, 4, 1, 1, 4, 2, 3, 2, 1, 0, 3, 0, 2, 0, 2, 1, 2, 1, 3, 3, 2, 2, 1, 0, 4, 1, 2, 1, 2, 0, 1, 2, 2, 1, 4, 2, 2, 2, 3, 2, 3, 1, 3, 2, 4, 3, 3, 4, 3, 1, 3, 0, 3, 1, 3, 2, 2, 0, 2, 2, 2, 4, 1, 1, 0, 0, 4, 0, 0, 3, 4, 3, 3, 4, 4, 4, 1, 1, 2, 1, 3, 0, 1, 3, 3, 0, 0, 4, 0, 2, 3, 0, 0, 4, 2, 4, 1, 1, 2, 0, 3, 4, 3, 2, 1, 4]
pubkeycol925 = [4, 1, 0, 4, 4, 0, 4, 4, 1, 3, 2, 2, 0, 0, 4, 0, 4, 2, 0, 1, 1, 1, 0, 2, 4, 1, 1, 3, 4, 4, 1, 3, 1, 1, 3, 3, 3, 2, 4, 3, 2, 4, 3, 4, 2, 3, 3, 1, 0, 0, 3, 4, 1, 3, 4, 1, 2, 4, 0, 3, 2, 0, 0, 0, 1, 1, 4, 2, 2, 0, 4, 0, 0, 3, 4, 1, 3, 2, 4, 0, 0, 4, 2, 3, 4, 4, 0, 1, 4, 2, 1, 2, 1, 3, 4, 0, 1, 2, 1, 3, 4, 2, 4, 2, 4, 0, 2, 0, 0, 1, 3, 1, 2, 4, 1, 4, 2, 0, 0, 0, 2, 4, 1, 1, 3, 0, 2, 1, 3, 1, 4, 4, 1, 1, 2, 1, 0, 4, 0, 1, 0, 4, 1, 2, 0, 4, 4, 4, 2, 3, 3, 3, 3, 1, 1, 3, 0, 4, 1, 1, 4, 4, 0, 0, 4, 4, 3, 1, 1, 2, 4, 4, 1, 1, 0, 2, 3, 3, 4, 3, 0, 2, 2, 2, 2, 2, 4, 1, 2, 3, 1, 4, 2, 3, 1, 1, 4, 4, 3, 2, 1, 3, 1, 0, 2, 0, 1, 0, 2, 2, 4, 0, 2, 2, 4, 1, 3, 0, 0, 0, 1, 3, 2, 0, 2, 2, 4, 1, 2, 3, 1, 3, 0, 4, 0, 1, 2, 1, 2, 0, 1, 1, 3, 0, 2, 0, 3, 2, 2, 2, 3, 0, 4, 1, 0, 0, 4, 4, 0, 1, 3, 4, 2, 2, 3, 1, 1, 3, 4, 1, 0, 1, 3, 1, 4, 4, 2, 3, 1, 0, 4, 4, 2, 1, 0, 3, 3, 0, 2, 1, 0, 3, 3, 3, 0, 2, 4, 4, 4, 2, 3, 2, 3, 4, 2, 3, 0, 3, 2, 2, 0, 0, 1, 3, 2, 0, 0, 0, 0, 3]
pubkeycol926 = [2, 0, 0, 0, 3, 3, 3, 2, 1, 3, 3, 3, 3, 1, 3, 4, 4, 3, 3, 4, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 4, 2, 1, 0, 4, 1, 0, 1, 4, 2, 0, 4, 3, 3, 3, 2, 3, 1, 2, 0, 3, 2, 2, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 0, 0, 0, 0, 4, 2, 0, 2, 4, 0, 2, 4, 0, 0, 4, 0, 4, 0, 2, 3, 1, 4, 1, 3, 1, 1, 2, 3, 1, 3, 2, 4, 3, 1, 3, 1, 0, 4, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 3, 1, 4, 0, 3, 1, 0, 2, 3, 1, 0, 2, 3, 0, 2, 0, 4, 2, 2, 2, 0, 1, 2, 2, 4, 1, 2, 3, 4, 4, 2, 3, 1, 3, 2, 3, 2, 0, 1, 1, 4, 4, 3, 0, 2, 2, 4, 0, 1, 1, 0, 4, 4, 0, 4, 0, 3, 4, 0, 4, 4, 0, 0, 0, 0, 0, 1, 3, 2, 1, 2, 4, 2, 0, 4, 3, 2, 1, 4, 2, 0, 4, 2, 4, 0, 3, 0, 1, 4, 4, 3, 1, 2, 0, 2, 4, 4, 2, 1, 0, 1, 0, 0, 4, 4, 2, 3, 2, 1, 3, 2, 0, 3, 2, 1, 3, 0, 3, 0, 1, 2, 1, 2, 1, 4, 3, 1, 1, 2, 2, 4, 4, 0, 4, 2, 2, 3, 3, 4, 1, 2, 4, 4, 0, 3, 3, 2, 0, 1, 1, 4, 1, 0, 2, 2, 1, 4, 0, 1, 0, 1, 0, 3, 1, 3, 0, 0, 2, 0, 3, 3, 3, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 3, 1, 1, 2, 2, 1, 2, 0, 1, 2, 3, 2, 1, 2, 4, 0, 3, 0, 3, 3, 4, 3, 4, 3, 3]
pubkeycol927 = [4, 0, 4, 3, 2, 4, 1, 2, 1, 2, 2, 0, 2, 1, 0, 4, 1, 1, 0, 2, 0, 3, 4, 0, 4, 1, 2, 4, 0, 2, 2, 1, 3, 0, 1, 0, 3, 1, 3, 2, 4, 0, 4, 3, 4, 0, 0, 2, 1, 4, 0, 3, 0, 4, 2, 2, 4, 4, 2, 3, 3, 1, 1, 3, 1, 3, 0, 2, 4, 1, 0, 3, 4, 1, 4, 3, 2, 1, 4, 2, 2, 2, 1, 2, 2, 4, 4, 3, 0, 1, 0, 3, 4, 1, 0, 0, 0, 2, 3, 3, 4, 2, 1, 3, 1, 3, 0, 3, 1, 4, 4, 1, 4, 0, 2, 1, 4, 3, 2, 0, 1, 1, 4, 0, 3, 4, 3, 0, 4, 0, 3, 1, 0, 4, 4, 4, 2, 3, 1, 0, 0, 3, 1, 0, 1, 1, 4, 4, 2, 2, 3, 2, 2, 0, 4, 0, 4, 3, 2, 0, 2, 2, 4, 2, 1, 3, 0, 0, 3, 2, 0, 3, 3, 2, 2, 2, 0, 0, 3, 1, 2, 3, 0, 2, 0, 1, 4, 3, 1, 2, 3, 3, 3, 3, 3, 4, 3, 4, 1, 4, 1, 4, 1, 1, 4, 3, 1, 0, 1, 3, 1, 2, 1, 2, 3, 0, 4, 0, 3, 0, 3, 3, 0, 1, 4, 3, 4, 3, 1, 1, 4, 4, 4, 1, 3, 2, 0, 3, 0, 4, 0, 4, 4, 1, 4, 0, 2, 4, 3, 4, 3, 1, 0, 0, 3, 3, 2, 0, 4, 1, 3, 3, 1, 4, 2, 1, 0, 2, 1, 4, 2, 3, 1, 1, 1, 4, 2, 1, 3, 0, 1, 3, 2, 4, 2, 2, 4, 0, 3, 0, 1, 2, 2, 1, 4, 4, 1, 3, 4, 1, 3, 2, 0, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 0, 0, 2, 1]
pubkeycol928 = [4, 0, 1, 4, 2, 2, 3, 3, 3, 3, 2, 0, 2, 2, 4, 2, 2, 2, 4, 2, 2, 2, 1, 1, 2, 4, 2, 3, 2, 0, 1, 1, 3, 3, 4, 4, 4, 4, 2, 2, 1, 1, 2, 2, 3, 2, 0, 0, 4, 2, 4, 4, 4, 1, 4, 0, 2, 3, 4, 0, 4, 4, 2, 4, 2, 1, 2, 2, 0, 2, 2, 4, 2, 3, 0, 1, 1, 2, 1, 4, 2, 1, 0, 3, 0, 3, 2, 3, 3, 0, 3, 4, 4, 1, 1, 1, 0, 3, 4, 4, 3, 4, 1, 3, 1, 1, 0, 3, 2, 3, 1, 1, 2, 2, 3, 1, 0, 4, 1, 4, 4, 3, 4, 2, 3, 3, 2, 0, 1, 3, 3, 1, 0, 4, 2, 3, 3, 2, 3, 4, 2, 2, 1, 0, 4, 2, 1, 0, 3, 1, 1, 2, 3, 2, 3, 0, 2, 4, 3, 0, 0, 1, 1, 2, 3, 1, 3, 1, 1, 1, 3, 4, 0, 3, 2, 2, 3, 4, 4, 1, 4, 3, 4, 3, 0, 1, 2, 2, 1, 1, 0, 3, 4, 0, 3, 1, 2, 3, 0, 1, 2, 3, 2, 2, 2, 1, 2, 4, 4, 3, 2, 1, 2, 1, 4, 1, 3, 2, 2, 4, 0, 0, 0, 1, 0, 4, 3, 2, 3, 2, 0, 2, 2, 1, 2, 3, 4, 0, 0, 4, 0, 0, 1, 1, 4, 3, 1, 1, 1, 3, 2, 1, 2, 4, 1, 4, 0, 2, 0, 0, 4, 2, 1, 0, 3, 3, 2, 1, 0, 4, 3, 1, 0, 2, 3, 1, 2, 2, 2, 2, 1, 2, 4, 4, 4, 0, 4, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 4, 0, 0, 2, 4, 4, 3, 3, 1, 4, 3, 0, 4, 0, 3, 1, 2, 3, 0, 1, 0, 2, 2]
pubkeycol929 = [4, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 3, 2, 0, 2, 2, 0, 4, 0, 3, 2, 2, 3, 0, 2, 3, 1, 3, 1, 3, 0, 2, 1, 2, 2, 4, 3, 4, 2, 0, 3, 3, 4, 2, 2, 0, 3, 0, 1, 0, 4, 3, 4, 3, 4, 0, 1, 4, 3, 3, 1, 2, 4, 4, 1, 4, 2, 3, 0, 2, 4, 4, 4, 2, 3, 0, 3, 3, 1, 3, 1, 0, 3, 1, 1, 0, 3, 4, 4, 1, 0, 3, 4, 1, 0, 2, 2, 2, 4, 2, 2, 1, 4, 1, 4, 4, 2, 3, 3, 2, 2, 3, 1, 1, 1, 0, 4, 2, 0, 2, 3, 0, 1, 2, 2, 4, 4, 4, 2, 1, 3, 0, 0, 4, 4, 0, 4, 4, 2, 0, 4, 3, 4, 4, 1, 2, 3, 0, 0, 4, 4, 3, 0, 3, 2, 0, 1, 1, 0, 1, 4, 1, 1, 3, 1, 1, 3, 2, 2, 3, 2, 3, 4, 0, 0, 3, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 3, 0, 0, 0, 1, 3, 2, 0, 4, 2, 4, 2, 3, 0, 0, 3, 0, 2, 3, 0, 3, 4, 0, 2, 4, 1, 1, 3, 1, 3, 2, 0, 2, 1, 4, 4, 4, 0, 0, 0, 4, 2, 0, 2, 1, 2, 4, 4, 4, 3, 4, 4, 0, 4, 0, 1, 4, 1, 4, 2, 4, 2, 4, 2, 4, 3, 4, 4, 3, 2, 4, 3, 4, 1, 4, 3, 3, 2, 1, 0, 1, 1, 1, 1, 3, 4, 0, 1, 3, 0, 2, 4, 3, 0, 3, 3, 2, 0, 2, 0, 0, 1, 4, 2, 0, 1, 4, 4, 1, 2, 2, 3, 4, 4, 0, 3, 4, 0, 2, 2, 3, 2, 3, 0, 2, 1, 2, 4]
pubkeycol930 = [2, 1, 2, 2, 1, 2, 4, 3, 2, 3, 1, 2, 0, 0, 1, 1, 4, 2, 2, 1, 1, 0, 3, 2, 4, 0, 1, 2, 0, 4, 0, 2, 4, 1, 0, 4, 3, 3, 4, 2, 4, 4, 2, 1, 2, 3, 0, 2, 4, 0, 1, 1, 4, 2, 1, 1, 0, 4, 3, 0, 3, 3, 4, 4, 0, 0, 1, 0, 0, 2, 2, 0, 4, 3, 3, 1, 3, 0, 0, 0, 3, 4, 4, 2, 4, 4, 0, 3, 1, 3, 3, 2, 2, 1, 3, 1, 2, 4, 2, 1, 4, 1, 0, 1, 4, 3, 1, 1, 0, 0, 3, 0, 0, 3, 2, 3, 1, 3, 3, 3, 0, 0, 4, 3, 2, 0, 3, 2, 2, 1, 1, 1, 1, 1, 4, 2, 0, 4, 1, 0, 3, 3, 0, 4, 4, 2, 3, 2, 4, 2, 3, 4, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 1, 4, 0, 3, 4, 0, 3, 4, 2, 4, 3, 3, 0, 2, 0, 2, 2, 4, 0, 1, 4, 0, 3, 4, 1, 3, 0, 4, 0, 1, 2, 0, 3, 0, 2, 0, 3, 0, 4, 4, 1, 2, 0, 4, 0, 3, 1, 0, 1, 2, 1, 3, 4, 3, 2, 4, 0, 3, 2, 3, 0, 2, 0, 1, 1, 0, 3, 1, 2, 2, 2, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 3, 3, 1, 2, 1, 0, 2, 2, 3, 1, 2, 1, 4, 3, 3, 3, 3, 4, 4, 2, 1, 1, 0, 3, 1, 0, 2, 3, 1, 3, 3, 0, 1, 0, 1, 2, 1, 3, 4, 3, 4, 3, 4, 4, 2, 1, 4, 2, 4, 4, 3, 4, 0, 0, 4, 1, 1, 2, 1, 2, 3, 4, 4, 1, 0, 0, 2, 3, 4, 2]
pubkeycol931 = [0, 1, 0, 4, 1, 2, 0, 4, 2, 3, 1, 2, 3, 4, 2, 0, 0, 4, 3, 2, 4, 3, 1, 2, 3, 1, 2, 1, 0, 1, 1, 0, 2, 1, 3, 3, 2, 1, 0, 4, 0, 1, 2, 3, 0, 2, 2, 4, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 1, 3, 4, 1, 2, 2, 3, 0, 0, 4, 3, 0, 4, 2, 4, 4, 2, 0, 0, 3, 4, 0, 4, 0, 4, 1, 1, 2, 3, 2, 4, 0, 1, 3, 0, 2, 1, 4, 0, 4, 0, 4, 1, 1, 2, 4, 1, 4, 4, 1, 3, 4, 2, 0, 2, 0, 0, 3, 2, 2, 0, 1, 0, 3, 0, 1, 1, 3, 3, 0, 1, 1, 4, 2, 4, 3, 4, 0, 2, 0, 3, 4, 2, 4, 2, 3, 3, 1, 2, 1, 3, 1, 2, 0, 1, 2, 4, 1, 0, 4, 0, 1, 3, 2, 0, 3, 4, 0, 2, 4, 0, 2, 1, 0, 3, 0, 2, 4, 1, 2, 0, 0, 3, 2, 4, 2, 3, 3, 4, 2, 1, 3, 0, 3, 2, 3, 3, 4, 0, 0, 4, 1, 3, 1, 2, 2, 4, 1, 0, 2, 0, 0, 4, 1, 2, 1, 0, 0, 4, 0, 0, 0, 4, 0, 2, 2, 0, 3, 2, 2, 3, 3, 4, 1, 4, 2, 2, 3, 4, 2, 4, 1, 1, 3, 4, 3, 0, 2, 0, 3, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 0, 0, 3, 3, 0, 2, 3, 4, 3, 3, 1, 3, 1, 2, 2, 0, 3, 2, 3, 3, 4, 3, 4, 1, 3, 4, 4, 1, 4, 4, 4, 2, 4, 0, 1, 3, 3, 3, 3, 2, 0, 0, 1, 4, 1, 2, 4, 2, 4, 1, 3]
pubkeycol932 = [2, 2, 0, 3, 0, 2, 0, 2, 1, 0, 3, 2, 4, 2, 2, 1, 4, 4, 0, 4, 0, 4, 4, 1, 2, 3, 3, 4, 0, 4, 1, 4, 4, 3, 1, 0, 0, 2, 3, 0, 0, 3, 2, 3, 3, 0, 0, 0, 4, 0, 0, 0, 3, 3, 4, 1, 3, 1, 3, 4, 3, 2, 3, 1, 2, 3, 4, 1, 1, 1, 4, 1, 0, 3, 3, 3, 1, 2, 4, 0, 3, 0, 0, 4, 4, 1, 1, 4, 2, 3, 1, 1, 2, 0, 2, 4, 3, 2, 4, 4, 1, 4, 1, 1, 4, 4, 2, 4, 2, 3, 3, 0, 3, 1, 0, 0, 1, 3, 3, 4, 1, 3, 2, 4, 4, 4, 1, 0, 3, 1, 0, 4, 2, 3, 3, 0, 1, 0, 2, 0, 3, 2, 4, 4, 2, 0, 4, 2, 3, 4, 2, 1, 2, 0, 2, 4, 2, 1, 0, 4, 0, 2, 0, 2, 1, 0, 3, 4, 4, 4, 0, 3, 3, 0, 4, 4, 0, 3, 4, 3, 3, 4, 1, 3, 3, 4, 4, 3, 3, 1, 1, 4, 4, 4, 3, 3, 1, 0, 1, 2, 3, 1, 3, 3, 2, 2, 2, 1, 1, 4, 3, 0, 1, 2, 2, 4, 0, 2, 0, 3, 2, 0, 1, 2, 0, 3, 2, 3, 0, 0, 4, 1, 4, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 3, 3, 2, 0, 0, 4, 1, 3, 0, 0, 3, 0, 2, 4, 1, 0, 4, 0, 0, 1, 2, 3, 3, 0, 2, 3, 0, 2, 4, 0, 4, 2, 2, 1, 1, 4, 3, 3, 3, 2, 3, 0, 3, 3, 1, 1, 3, 2, 4, 4, 3, 0, 2, 0, 4, 0, 2, 1, 4, 0, 2, 0, 1, 2, 1, 1, 0, 4, 2, 3, 1, 4, 4, 2, 3, 4]
pubkeycol933 = [3, 2, 2, 3, 4, 2, 4, 0, 1, 0, 0, 3, 0, 2, 2, 4, 3, 1, 2, 4, 4, 4, 0, 3, 1, 2, 4, 0, 1, 4, 1, 0, 3, 1, 0, 4, 1, 0, 1, 2, 1, 0, 3, 1, 4, 0, 4, 0, 3, 3, 4, 2, 4, 0, 2, 1, 0, 2, 0, 3, 0, 4, 2, 3, 0, 1, 0, 2, 2, 0, 3, 4, 0, 2, 1, 4, 3, 1, 2, 2, 2, 2, 4, 2, 0, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2, 3, 2, 4, 3, 2, 3, 1, 0, 2, 0, 1, 2, 3, 1, 0, 0, 2, 0, 0, 0, 2, 4, 3, 0, 1, 4, 4, 4, 4, 3, 3, 1, 4, 3, 3, 0, 4, 2, 2, 1, 3, 3, 3, 4, 2, 2, 1, 3, 3, 1, 1, 3, 2, 1, 2, 1, 1, 1, 3, 0, 1, 3, 3, 1, 3, 0, 0, 2, 3, 0, 2, 3, 3, 2, 4, 1, 1, 1, 4, 1, 1, 3, 4, 0, 0, 4, 2, 3, 0, 4, 1, 1, 1, 4, 0, 0, 4, 3, 1, 3, 3, 4, 3, 3, 2, 4, 2, 4, 4, 1, 3, 4, 1, 2, 3, 2, 1, 3, 4, 4, 4, 3, 2, 3, 1, 2, 4, 3, 0, 0, 2, 2, 1, 1, 1, 2, 2, 3, 2, 4, 3, 1, 3, 1, 4, 0, 2, 1, 3, 2, 3, 4, 3, 2, 2, 4, 2, 2, 2, 0, 3, 3, 2, 0, 0, 0, 2, 4, 3, 1, 2, 0, 4, 1, 4, 3, 3, 0, 0, 1, 3, 0, 2, 2, 0, 0, 2, 4, 3, 2, 4, 2, 0, 4, 4, 4, 2, 0, 2, 2, 1, 0, 3, 3, 4, 1, 2, 0, 0, 2, 3, 4, 1, 0, 3, 4, 3, 1, 4, 1, 3, 0, 0, 2, 1]
pubkeycol934 = [2, 3, 3, 2, 0, 0, 4, 2, 3, 0, 4, 2, 1, 4, 4, 2, 2, 3, 4, 0, 4, 2, 2, 4, 1, 2, 0, 4, 3, 1, 2, 4, 2, 0, 3, 1, 2, 1, 0, 2, 3, 4, 3, 0, 0, 4, 3, 2, 0, 0, 3, 1, 0, 4, 2, 3, 2, 0, 0, 2, 3, 2, 1, 0, 0, 0, 4, 1, 2, 1, 3, 3, 1, 4, 1, 3, 4, 1, 2, 4, 2, 1, 0, 2, 4, 1, 0, 1, 4, 0, 0, 4, 1, 4, 0, 1, 4, 2, 3, 2, 1, 2, 3, 3, 3, 3, 4, 0, 3, 3, 3, 3, 3, 4, 0, 1, 2, 1, 0, 3, 1, 4, 3, 1, 0, 0, 0, 3, 0, 2, 3, 1, 2, 2, 0, 4, 3, 2, 3, 0, 0, 3, 3, 1, 2, 4, 3, 2, 4, 3, 0, 1, 2, 0, 0, 0, 3, 2, 2, 0, 2, 3, 3, 2, 4, 2, 4, 3, 1, 2, 0, 1, 3, 2, 4, 1, 2, 3, 2, 2, 3, 4, 0, 3, 0, 0, 4, 3, 1, 1, 0, 3, 3, 2, 0, 2, 3, 4, 1, 2, 2, 1, 2, 1, 0, 0, 4, 2, 1, 0, 3, 4, 0, 1, 1, 3, 2, 0, 2, 3, 3, 3, 4, 1, 0, 4, 4, 4, 4, 3, 3, 3, 0, 4, 1, 0, 4, 2, 4, 2, 2, 0, 3, 0, 0, 1, 0, 0, 0, 4, 1, 3, 3, 0, 1, 3, 4, 1, 0, 4, 1, 4, 3, 3, 1, 1, 3, 1, 1, 2, 2, 3, 3, 4, 4, 2, 4, 2, 1, 0, 3, 2, 0, 2, 3, 2, 4, 1, 4, 4, 3, 4, 4, 0, 2, 1, 1, 3, 2, 1, 1, 0, 4, 1, 4, 0, 2, 1, 2, 3, 4, 4, 4, 0, 0, 4, 3, 3, 4, 4]
pubkeycol935 = [1, 2, 0, 1, 4, 4, 0, 2, 3, 2, 3, 2, 4, 2, 4, 0, 1, 3, 4, 4, 0, 1, 2, 3, 3, 0, 4, 4, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 4, 1, 2, 0, 4, 4, 0, 1, 1, 1, 2, 1, 2, 1, 1, 3, 0, 1, 1, 4, 0, 0, 1, 4, 0, 4, 4, 2, 3, 4, 4, 4, 3, 3, 4, 2, 0, 4, 0, 1, 4, 4, 4, 2, 3, 4, 0, 0, 2, 2, 4, 0, 4, 3, 2, 0, 0, 0, 4, 4, 2, 1, 2, 1, 0, 4, 1, 4, 2, 1, 1, 1, 3, 1, 1, 3, 2, 4, 2, 4, 0, 4, 0, 1, 4, 3, 1, 2, 0, 0, 4, 3, 1, 1, 3, 2, 0, 0, 3, 2, 1, 0, 4, 3, 0, 1, 1, 1, 1, 2, 1, 3, 4, 0, 4, 3, 0, 2, 2, 3, 4, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 4, 1, 2, 0, 3, 2, 4, 0, 3, 1, 1, 2, 0, 1, 3, 3, 0, 3, 1, 2, 0, 2, 2, 4, 0, 2, 3, 3, 1, 3, 3, 4, 2, 1, 3, 2, 3, 4, 2, 0, 3, 3, 1, 4, 1, 1, 0, 2, 2, 4, 1, 1, 2, 2, 3, 1, 1, 0, 0, 2, 4, 2, 2, 4, 2, 4, 3, 1, 2, 0, 0, 0, 4, 2, 1, 4, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 4, 1, 2, 4, 1, 4, 3, 2, 1, 0, 1, 2, 2, 0, 3, 3, 0, 2, 1, 3, 4, 0, 2, 2, 0, 1, 0, 3, 0, 0, 2, 1, 2, 1, 4, 3, 2, 0, 3, 0, 0, 3, 0, 0, 0, 3, 1, 1, 3, 4, 3, 3, 1, 1, 2, 2, 3, 4, 4, 3, 2]
pubkeycol936 = [0, 0, 2, 0, 4, 1, 0, 2, 1, 2, 2, 3, 3, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 2, 4, 2, 4, 1, 3, 0, 2, 0, 1, 4, 2, 4, 0, 0, 4, 2, 1, 2, 2, 2, 4, 4, 0, 4, 1, 2, 3, 1, 2, 1, 3, 3, 1, 4, 3, 1, 1, 2, 1, 3, 0, 0, 1, 0, 1, 1, 2, 1, 3, 1, 0, 1, 0, 0, 0, 4, 0, 4, 4, 2, 0, 1, 3, 0, 1, 1, 3, 0, 1, 1, 4, 1, 2, 1, 4, 2, 3, 3, 0, 0, 1, 1, 0, 0, 3, 4, 0, 4, 2, 0, 2, 2, 0, 1, 2, 3, 0, 3, 4, 4, 0, 0, 1, 1, 4, 2, 4, 4, 4, 3, 0, 2, 2, 1, 2, 3, 4, 0, 0, 2, 0, 1, 1, 4, 1, 3, 3, 1, 3, 3, 0, 0, 2, 4, 2, 0, 0, 0, 1, 2, 1, 0, 3, 1, 4, 0, 4, 0, 2, 3, 1, 3, 3, 4, 2, 2, 1, 3, 0, 2, 1, 3, 0, 3, 3, 4, 4, 0, 1, 1, 4, 2, 2, 4, 2, 3, 2, 1, 0, 0, 4, 0, 0, 1, 0, 2, 0, 3, 2, 0, 1, 0, 0, 4, 2, 1, 0, 2, 0, 1, 2, 1, 0, 4, 1, 0, 3, 4, 1, 4, 4, 4, 0, 2, 3, 0, 1, 0, 1, 0, 0, 3, 1, 1, 0, 4, 0, 1, 4, 4, 4, 0, 1, 3, 3, 4, 4, 4, 4, 0, 3, 2, 1, 0, 3, 4, 3, 4, 0, 2, 0, 4, 1, 4, 1, 2, 0, 0, 4, 0, 3, 2, 4, 0, 2, 1, 3, 1, 3, 0, 1, 3, 1, 1, 2, 4, 3, 1, 4, 2, 3, 2, 4, 3, 0, 0, 1, 4, 2, 4, 3, 0, 4, 3, 4, 1]
pubkeycol937 = [2, 1, 3, 1, 2, 0, 3, 2, 1, 0, 4, 3, 4, 0, 4, 4, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 4, 1, 1, 2, 3, 3, 4, 0, 1, 3, 0, 0, 1, 0, 4, 3, 1, 4, 3, 1, 4, 1, 4, 1, 0, 4, 1, 0, 4, 3, 3, 3, 0, 2, 1, 2, 0, 4, 0, 0, 1, 1, 4, 0, 1, 1, 2, 4, 1, 0, 3, 1, 4, 2, 3, 4, 1, 2, 3, 2, 4, 1, 2, 3, 0, 1, 1, 4, 2, 3, 2, 1, 1, 4, 3, 4, 0, 4, 1, 2, 1, 2, 3, 2, 3, 0, 2, 4, 0, 3, 1, 2, 1, 2, 1, 4, 3, 2, 3, 0, 4, 4, 2, 1, 3, 4, 0, 0, 4, 4, 1, 1, 0, 2, 4, 4, 0, 0, 2, 2, 1, 0, 1, 3, 2, 1, 1, 2, 1, 3, 4, 4, 4, 2, 0, 0, 4, 0, 0, 3, 0, 4, 4, 1, 1, 4, 2, 4, 2, 4, 2, 1, 1, 2, 1, 4, 4, 0, 0, 3, 0, 4, 0, 0, 0, 0, 0, 4, 1, 0, 4, 3, 1, 4, 4, 0, 2, 4, 2, 4, 4, 1, 3, 2, 1, 3, 1, 3, 4, 3, 1, 0, 1, 0, 3, 0, 4, 4, 4, 0, 1, 3, 4, 2, 3, 4, 4, 3, 0, 4, 1, 0, 0, 3, 3, 4, 3, 4, 2, 3, 3, 3, 2, 0, 4, 4, 3, 4, 0, 3, 4, 1, 1, 4, 1, 1, 1, 3, 0, 2, 2, 3, 0, 1, 4, 2, 4, 4, 2, 3, 3, 1, 0, 0, 3, 0, 4, 2, 2, 2, 0, 0, 2, 2, 1, 3, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 4, 0, 1, 0, 4, 1, 4, 2, 1, 2, 3, 0, 2, 2, 0]
pubkeycol938 = [0, 0, 0, 2, 2, 0, 0, 4, 3, 3, 2, 3, 0, 3, 0, 2, 3, 0, 0, 4, 0, 4, 3, 0, 2, 4, 3, 2, 4, 3, 1, 4, 3, 1, 2, 3, 0, 1, 0, 2, 2, 2, 2, 0, 4, 1, 3, 3, 0, 2, 4, 4, 1, 0, 3, 2, 2, 1, 4, 3, 3, 4, 4, 2, 0, 2, 1, 3, 4, 3, 0, 3, 2, 3, 0, 1, 1, 4, 1, 3, 4, 4, 2, 1, 0, 2, 2, 0, 1, 3, 3, 1, 4, 0, 3, 4, 1, 0, 2, 1, 0, 4, 0, 3, 3, 3, 0, 3, 3, 2, 2, 1, 4, 4, 2, 2, 4, 0, 4, 2, 1, 4, 3, 2, 0, 1, 3, 2, 4, 4, 0, 3, 3, 3, 2, 1, 1, 0, 3, 3, 2, 0, 3, 1, 2, 0, 2, 3, 1, 1, 2, 3, 2, 4, 4, 1, 1, 2, 4, 1, 4, 4, 3, 3, 0, 1, 0, 3, 3, 0, 0, 2, 1, 4, 3, 3, 1, 3, 0, 1, 2, 3, 3, 0, 3, 2, 2, 4, 0, 0, 3, 1, 1, 1, 2, 3, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 3, 0, 4, 4, 1, 2, 0, 1, 0, 3, 0, 4, 0, 3, 4, 4, 2, 0, 2, 3, 1, 3, 2, 1, 4, 0, 0, 1, 4, 1, 2, 4, 3, 0, 4, 4, 4, 1, 0, 2, 1, 3, 0, 2, 4, 4, 0, 1, 2, 3, 2, 4, 1, 3, 2, 1, 2, 2, 2, 2, 3, 3, 4, 0, 0, 1, 3, 3, 3, 2, 3, 0, 1, 3, 0, 3, 0, 1, 0, 1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 2, 2, 2, 4, 4, 2, 4, 4, 2, 2, 1, 2, 0, 1, 3, 3, 1, 3, 4, 3, 4, 1, 4, 2]
pubkeycol939 = [1, 1, 0, 1, 3, 1, 1, 3, 1, 0, 1, 0, 4, 3, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 1, 3, 4, 2, 4, 4, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 4, 4, 3, 0, 0, 0, 4, 0, 1, 0, 3, 0, 0, 3, 2, 2, 0, 3, 1, 3, 1, 1, 2, 1, 1, 4, 3, 0, 3, 1, 2, 2, 0, 4, 4, 1, 3, 2, 0, 3, 0, 1, 1, 1, 3, 2, 3, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 3, 0, 3, 0, 0, 4, 1, 0, 0, 4, 2, 2, 3, 2, 0, 1, 3, 2, 4, 2, 4, 4, 2, 0, 1, 0, 4, 2, 0, 2, 1, 3, 0, 3, 3, 0, 2, 1, 4, 4, 4, 2, 2, 4, 4, 4, 1, 1, 4, 2, 3, 0, 4, 4, 3, 0, 4, 4, 0, 1, 3, 3, 3, 1, 0, 3, 1, 0, 0, 3, 1, 2, 0, 4, 3, 0, 1, 2, 0, 4, 3, 4, 0, 0, 3, 3, 0, 0, 3, 4, 1, 4, 3, 2, 1, 4, 2, 1, 0, 4, 3, 3, 1, 3, 0, 2, 3, 2, 3, 3, 4, 4, 0, 1, 3, 1, 0, 0, 2, 4, 1, 4, 2, 0, 1, 0, 3, 3, 3, 4, 0, 1, 2, 0, 3, 3, 0, 3, 3, 2, 0, 0, 3, 0, 0, 1, 3, 2, 3, 4, 2, 4, 3, 2, 4, 3, 2, 3, 1, 2, 0, 1, 4, 1, 0, 1, 0, 3, 2, 1, 3, 2, 0, 3, 4, 2, 4, 2, 4, 4, 3, 2, 4, 3, 0, 2, 3, 1, 4, 2, 3, 1, 4, 4, 1, 0, 0, 2, 2, 4, 0, 2, 1, 0, 4, 4, 3, 4, 4, 1, 0, 0, 0, 4, 3]
pubkeycol940 = [4, 0, 0, 4, 1, 0, 4, 2, 0, 3, 1, 3, 2, 1, 3, 4, 1, 0, 2, 4, 3, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 3, 2, 0, 4, 2, 1, 4, 4, 2, 3, 1, 2, 3, 1, 2, 3, 3, 3, 3, 3, 3, 4, 2, 0, 4, 0, 3, 3, 2, 2, 4, 0, 0, 1, 3, 1, 2, 1, 2, 4, 1, 1, 4, 0, 3, 0, 0, 2, 4, 3, 1, 3, 1, 4, 1, 1, 2, 2, 2, 3, 2, 0, 0, 3, 3, 2, 0, 0, 1, 1, 4, 3, 1, 0, 4, 0, 0, 3, 4, 0, 2, 3, 0, 1, 3, 3, 4, 2, 2, 2, 0, 1, 3, 4, 2, 1, 3, 0, 1, 4, 3, 4, 1, 2, 4, 0, 0, 4, 0, 4, 1, 1, 2, 3, 0, 1, 4, 0, 1, 2, 2, 4, 4, 4, 4, 0, 1, 2, 1, 2, 3, 4, 3, 4, 2, 4, 1, 2, 3, 3, 4, 2, 2, 1, 0, 4, 4, 4, 1, 4, 2, 3, 0, 2, 3, 2, 0, 1, 1, 4, 4, 3, 3, 0, 2, 2, 0, 4, 4, 2, 3, 3, 3, 3, 0, 1, 3, 3, 2, 4, 1, 2, 1, 2, 1, 1, 3, 3, 4, 1, 1, 1, 2, 0, 4, 1, 2, 4, 2, 0, 0, 3, 0, 4, 1, 1, 1, 1, 4, 1, 4, 1, 0, 0, 4, 0, 1, 1, 2, 4, 2, 4, 3, 1, 3, 1, 4, 0, 2, 0, 1, 2, 3, 3, 1, 3, 4, 0, 0, 2, 2, 4, 3, 1, 3, 3, 0, 0, 3, 0, 3, 3, 2, 1, 4, 1, 4, 1, 1, 2, 3, 3, 4, 4, 2, 0, 3, 4, 4, 0, 2, 0, 3, 4, 0, 3, 1, 1, 3, 3, 0, 3, 0, 2, 2, 3, 0, 0]
pubkeycol941 = [1, 2, 1, 1, 4, 0, 3, 4, 3, 3, 0, 1, 3, 3, 4, 4, 1, 4, 3, 3, 0, 0, 3, 2, 4, 4, 4, 2, 3, 0, 3, 4, 1, 2, 1, 4, 0, 3, 0, 2, 4, 3, 4, 4, 2, 0, 1, 3, 3, 0, 0, 2, 2, 4, 3, 4, 1, 3, 3, 3, 3, 4, 0, 4, 1, 2, 2, 2, 2, 4, 1, 1, 1, 3, 0, 3, 0, 3, 3, 3, 4, 0, 3, 3, 0, 1, 0, 2, 4, 1, 0, 2, 1, 4, 0, 4, 0, 4, 2, 1, 1, 0, 3, 0, 1, 0, 3, 1, 4, 2, 2, 1, 2, 0, 0, 1, 0, 3, 1, 3, 2, 4, 0, 1, 4, 1, 2, 4, 1, 4, 2, 2, 0, 4, 1, 0, 4, 3, 4, 3, 1, 4, 1, 4, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 4, 2, 2, 1, 4, 1, 4, 1, 2, 4, 3, 0, 1, 2, 3, 2, 3, 2, 1, 0, 3, 2, 4, 0, 3, 0, 2, 0, 0, 2, 3, 2, 1, 4, 3, 4, 3, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 1, 4, 2, 0, 1, 3, 3, 4, 2, 0, 2, 3, 4, 0, 0, 2, 1, 2, 4, 1, 4, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 3, 2, 4, 4, 4, 4, 1, 1, 4, 4, 2, 4, 0, 2, 3, 4, 2, 4, 2, 2, 4, 3, 2, 3, 4, 2, 3, 3, 4, 1, 0, 4, 0, 3, 3, 1, 2, 4, 3, 4, 4, 4, 0, 2, 1, 0, 4, 4, 4, 0, 1, 0, 3, 0, 2, 0, 1, 3, 1, 3, 1, 1, 0, 3, 0, 3, 1, 1, 4, 3, 0, 3, 4, 0, 0, 1, 3, 3, 4, 0, 2, 4, 2, 4, 0, 0, 2, 2]
pubkeycol942 = [4, 0, 2, 4, 1, 3, 2, 0, 1, 2, 2, 1, 3, 1, 0, 3, 3, 4, 3, 3, 0, 1, 3, 0, 4, 3, 4, 2, 4, 4, 3, 0, 2, 2, 3, 4, 4, 4, 1, 0, 2, 4, 4, 3, 3, 1, 4, 3, 3, 3, 2, 4, 3, 1, 4, 0, 4, 1, 1, 0, 0, 1, 1, 0, 0, 2, 4, 2, 1, 0, 4, 0, 3, 0, 3, 1, 3, 4, 0, 3, 2, 3, 2, 0, 1, 2, 2, 3, 4, 2, 3, 2, 4, 0, 4, 0, 3, 3, 0, 2, 2, 4, 1, 0, 4, 0, 0, 1, 4, 2, 2, 2, 3, 3, 1, 0, 1, 0, 3, 0, 2, 1, 0, 2, 2, 3, 1, 0, 1, 0, 0, 4, 2, 4, 0, 0, 3, 3, 0, 3, 0, 4, 0, 4, 0, 0, 2, 4, 2, 4, 4, 4, 3, 4, 3, 3, 2, 2, 1, 2, 1, 3, 0, 3, 3, 0, 3, 2, 0, 4, 0, 1, 0, 4, 0, 3, 3, 4, 2, 4, 1, 0, 3, 4, 3, 1, 3, 0, 1, 1, 3, 2, 2, 0, 2, 3, 3, 0, 4, 4, 2, 2, 1, 0, 3, 4, 3, 3, 3, 4, 4, 1, 3, 0, 3, 4, 0, 1, 1, 2, 2, 3, 4, 0, 2, 3, 2, 3, 4, 3, 3, 3, 3, 4, 0, 4, 1, 2, 0, 0, 1, 0, 0, 2, 4, 3, 4, 0, 3, 3, 1, 2, 4, 2, 2, 1, 3, 3, 1, 3, 2, 2, 4, 0, 0, 3, 4, 0, 4, 3, 1, 4, 4, 1, 3, 1, 4, 4, 4, 0, 1, 3, 2, 3, 4, 3, 0, 2, 1, 2, 4, 4, 3, 1, 3, 4, 2, 1, 1, 1, 0, 2, 3, 1, 1, 3, 3, 1, 4, 4, 2, 2, 2, 4, 2, 3, 3, 1, 2, 4]
pubkeycol943 = [1, 3, 2, 2, 1, 4, 2, 1, 2, 1, 2, 1, 1, 0, 4, 4, 1, 0, 4, 2, 2, 3, 3, 2, 4, 3, 3, 2, 2, 1, 2, 1, 2, 4, 0, 2, 4, 0, 0, 4, 4, 4, 4, 0, 4, 3, 4, 2, 2, 4, 3, 2, 0, 3, 1, 1, 1, 1, 4, 3, 0, 1, 1, 4, 4, 2, 3, 1, 2, 0, 3, 4, 1, 0, 2, 0, 2, 1, 1, 3, 4, 4, 2, 4, 4, 1, 0, 3, 2, 4, 0, 1, 2, 0, 3, 0, 2, 0, 2, 2, 4, 0, 2, 0, 4, 0, 1, 4, 3, 0, 0, 3, 0, 0, 2, 2, 0, 3, 2, 1, 1, 0, 2, 4, 0, 0, 0, 1, 0, 0, 2, 4, 3, 3, 1, 2, 2, 3, 4, 3, 3, 1, 4, 1, 3, 3, 3, 0, 0, 2, 1, 4, 2, 0, 1, 1, 4, 1, 0, 2, 2, 0, 3, 0, 4, 3, 3, 1, 1, 4, 2, 3, 4, 3, 4, 3, 3, 1, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 4, 0, 0, 2, 1, 2, 3, 0, 2, 2, 1, 4, 2, 2, 1, 0, 4, 4, 4, 1, 0, 0, 2, 2, 0, 1, 0, 3, 4, 3, 1, 2, 4, 2, 4, 1, 0, 1, 0, 2, 1, 3, 0, 2, 3, 3, 4, 4, 1, 0, 3, 1, 1, 1, 1, 2, 4, 0, 2, 2, 1, 0, 4, 3, 3, 4, 4, 0, 3, 2, 3, 3, 0, 0, 3, 3, 4, 0, 3, 3, 2, 3, 4, 2, 2, 4, 0, 0, 3, 3, 1, 4, 4, 1, 4, 1, 1, 3, 1, 2, 0, 4, 0, 1, 3, 2, 4, 2, 0, 2, 4, 1, 0, 0, 3, 2, 2, 2, 4, 4, 2, 1, 1, 1, 3, 4, 4, 0, 3, 4, 1]
pubkeycol944 = [0, 4, 4, 1, 3, 1, 4, 3, 3, 2, 4, 4, 4, 2, 4, 2, 3, 2, 2, 4, 4, 2, 4, 4, 2, 4, 3, 2, 1, 1, 4, 0, 0, 3, 4, 4, 0, 0, 2, 2, 1, 4, 2, 0, 0, 2, 4, 4, 2, 2, 1, 3, 4, 4, 3, 4, 1, 4, 3, 4, 1, 4, 4, 3, 2, 4, 1, 2, 4, 2, 1, 4, 3, 3, 3, 0, 1, 3, 1, 2, 2, 3, 2, 3, 3, 0, 2, 4, 2, 2, 1, 3, 1, 4, 2, 4, 1, 2, 4, 0, 0, 0, 3, 2, 3, 4, 3, 4, 0, 3, 3, 2, 4, 3, 2, 3, 4, 2, 0, 3, 1, 2, 3, 0, 2, 3, 4, 1, 1, 2, 2, 0, 0, 1, 3, 1, 4, 4, 3, 0, 0, 1, 3, 2, 0, 0, 0, 0, 4, 0, 0, 2, 3, 3, 2, 2, 4, 2, 3, 3, 3, 2, 0, 0, 2, 2, 1, 2, 4, 0, 3, 3, 2, 3, 3, 1, 1, 3, 1, 0, 2, 1, 3, 4, 0, 3, 3, 4, 3, 0, 2, 4, 0, 2, 2, 4, 0, 3, 2, 4, 4, 0, 0, 0, 0, 3, 4, 3, 2, 3, 1, 1, 3, 0, 3, 0, 3, 4, 2, 0, 1, 4, 2, 2, 3, 2, 0, 0, 0, 0, 3, 1, 4, 4, 3, 0, 4, 4, 3, 0, 1, 3, 2, 4, 4, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 4, 0, 1, 2, 2, 0, 0, 1, 4, 1, 4, 4, 0, 0, 2, 1, 3, 3, 3, 4, 2, 2, 1, 3, 2, 2, 1, 2, 0, 0, 1, 3, 1, 2, 4, 1, 4, 1, 0, 1, 1, 0, 1, 4, 4, 1, 0, 3, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 4, 4, 4, 0, 4, 2, 3]
pubkeycol945 = [1, 3, 0, 0, 3, 2, 0, 3, 3, 1, 1, 3, 3, 3, 0, 2, 3, 3, 1, 4, 4, 3, 0, 0, 0, 4, 3, 4, 1, 1, 1, 0, 0, 4, 1, 4, 0, 0, 1, 1, 1, 3, 2, 4, 0, 2, 1, 3, 2, 1, 3, 0, 3, 1, 2, 4, 2, 1, 4, 2, 2, 1, 2, 0, 4, 2, 2, 0, 0, 2, 2, 2, 3, 1, 0, 0, 2, 2, 0, 4, 2, 0, 1, 4, 3, 4, 1, 0, 0, 1, 4, 2, 2, 3, 2, 4, 0, 3, 1, 4, 1, 1, 0, 3, 2, 3, 4, 1, 1, 4, 3, 1, 1, 2, 3, 2, 4, 1, 2, 4, 2, 3, 0, 2, 4, 0, 0, 4, 1, 2, 4, 2, 3, 1, 2, 2, 4, 3, 1, 0, 0, 4, 1, 3, 0, 2, 4, 3, 4, 0, 0, 0, 2, 2, 0, 4, 3, 2, 3, 4, 3, 1, 2, 2, 0, 2, 3, 0, 1, 4, 4, 0, 3, 4, 0, 3, 2, 3, 0, 4, 0, 1, 4, 0, 4, 4, 4, 3, 4, 1, 1, 1, 4, 1, 1, 3, 2, 0, 1, 4, 1, 1, 0, 3, 4, 3, 2, 0, 1, 0, 0, 3, 3, 0, 0, 2, 4, 0, 2, 0, 1, 1, 3, 4, 3, 4, 0, 4, 4, 2, 4, 3, 4, 2, 3, 4, 3, 0, 0, 1, 0, 1, 4, 1, 3, 3, 3, 0, 4, 0, 1, 0, 0, 0, 0, 4, 4, 3, 0, 4, 4, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 0, 4, 3, 4, 3, 4, 4, 4, 0, 2, 1, 2, 2, 0, 0, 4, 2, 3, 1, 2, 2, 1, 3, 2, 1, 4, 3, 4, 0, 1, 0, 3, 4, 3, 2, 2, 3, 4, 2, 4, 3, 0, 2, 1, 4, 1, 2, 4]
pubkeycol946 = [0, 3, 2, 4, 3, 2, 3, 1, 4, 4, 4, 4, 3, 4, 2, 3, 1, 3, 3, 4, 3, 0, 0, 2, 3, 1, 3, 0, 0, 0, 3, 4, 0, 4, 0, 1, 4, 1, 3, 3, 1, 3, 2, 3, 3, 0, 1, 4, 3, 3, 0, 3, 1, 0, 3, 4, 3, 2, 4, 2, 1, 3, 2, 1, 3, 0, 4, 4, 1, 3, 2, 0, 2, 4, 4, 2, 3, 2, 0, 1, 2, 4, 4, 2, 3, 0, 1, 0, 4, 2, 4, 4, 1, 1, 2, 3, 4, 2, 3, 4, 1, 3, 1, 3, 4, 1, 3, 2, 1, 0, 3, 0, 0, 0, 3, 0, 1, 2, 2, 2, 2, 0, 3, 3, 2, 1, 1, 1, 1, 0, 1, 2, 4, 0, 0, 0, 2, 1, 4, 1, 3, 1, 4, 4, 1, 1, 3, 4, 3, 3, 3, 4, 3, 0, 0, 4, 1, 0, 0, 2, 4, 0, 3, 4, 3, 3, 4, 0, 3, 0, 0, 2, 1, 4, 3, 2, 4, 0, 1, 1, 2, 3, 1, 4, 0, 2, 4, 4, 3, 1, 4, 4, 4, 2, 0, 2, 2, 4, 0, 1, 4, 3, 1, 3, 0, 4, 4, 1, 3, 4, 4, 3, 0, 1, 3, 0, 0, 3, 0, 1, 1, 2, 2, 3, 2, 1, 4, 4, 2, 3, 1, 2, 2, 0, 1, 1, 0, 3, 1, 1, 4, 2, 2, 2, 3, 2, 4, 1, 2, 2, 3, 3, 4, 3, 0, 1, 2, 3, 0, 2, 0, 0, 1, 2, 3, 0, 2, 4, 3, 4, 3, 1, 1, 3, 3, 3, 1, 2, 3, 1, 1, 1, 3, 4, 4, 2, 3, 2, 3, 4, 4, 2, 4, 4, 4, 0, 2, 0, 4, 0, 2, 4, 2, 3, 4, 2, 0, 2, 2, 3, 2, 3, 1, 0, 1, 4, 4, 0, 0, 3]
pubkeycol947 = [3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 1, 0, 1, 4, 1, 4, 1, 3, 4, 0, 1, 0, 3, 2, 2, 1, 2, 1, 0, 0, 3, 4, 4, 3, 0, 3, 0, 3, 1, 4, 2, 0, 2, 1, 2, 3, 0, 0, 2, 3, 0, 1, 3, 0, 3, 0, 0, 4, 0, 0, 3, 0, 2, 3, 3, 2, 4, 3, 1, 0, 4, 1, 3, 4, 3, 4, 3, 4, 2, 3, 4, 1, 1, 1, 4, 3, 3, 4, 4, 1, 4, 1, 2, 3, 2, 2, 2, 3, 4, 2, 2, 4, 1, 2, 4, 1, 2, 3, 4, 3, 4, 1, 2, 3, 4, 3, 0, 0, 2, 0, 0, 2, 1, 4, 2, 2, 4, 0, 4, 4, 4, 3, 2, 0, 4, 0, 3, 4, 1, 0, 4, 1, 4, 1, 2, 3, 4, 2, 2, 1, 3, 4, 3, 2, 1, 2, 4, 1, 2, 2, 1, 4, 3, 0, 1, 3, 4, 2, 3, 1, 4, 3, 1, 3, 4, 1, 1, 0, 2, 3, 3, 0, 4, 0, 2, 0, 0, 1, 0, 1, 3, 4, 0, 0, 1, 1, 4, 1, 4, 0, 4, 4, 2, 3, 2, 0, 1, 3, 0, 2, 3, 3, 0, 3, 2, 0, 3, 4, 0, 3, 3, 2, 2, 0, 4, 1, 3, 4, 4, 0, 0, 0, 4, 1, 1, 1, 0, 0, 1, 3, 2, 4, 3, 4, 3, 3, 3, 3, 0, 2, 2, 1, 2, 3, 1, 3, 3, 1, 2, 4, 4, 1, 4, 3, 3, 2, 1, 0, 3, 3, 1, 2, 0, 2, 1, 3, 4, 1, 3, 1, 2, 0, 4, 4, 2, 1, 0, 1, 1, 4, 1, 3, 4, 1, 4, 1, 3, 3, 2, 4, 4, 0, 0, 3, 3, 4, 2, 2, 3, 0, 2, 0, 1, 0, 2, 3, 2, 3, 0, 3]
pubkeycol948 = [4, 4, 3, 0, 2, 3, 3, 1, 3, 3, 4, 3, 4, 3, 1, 4, 4, 3, 4, 1, 3, 1, 0, 0, 3, 0, 2, 0, 3, 1, 3, 0, 1, 3, 0, 3, 4, 1, 3, 4, 1, 0, 2, 0, 4, 1, 4, 1, 4, 1, 0, 1, 3, 1, 1, 1, 4, 4, 1, 2, 3, 3, 1, 2, 1, 1, 4, 0, 4, 1, 2, 1, 0, 2, 3, 0, 3, 3, 1, 0, 4, 1, 2, 3, 0, 4, 2, 4, 2, 0, 2, 3, 3, 1, 1, 1, 2, 4, 3, 2, 2, 2, 1, 1, 3, 4, 3, 2, 2, 3, 3, 3, 1, 0, 4, 1, 0, 2, 2, 1, 0, 4, 2, 0, 0, 4, 1, 4, 2, 1, 4, 3, 3, 4, 4, 4, 4, 1, 3, 1, 2, 4, 4, 2, 1, 1, 4, 2, 0, 0, 0, 1, 2, 3, 3, 0, 0, 3, 3, 2, 4, 4, 1, 0, 4, 2, 4, 2, 2, 3, 2, 2, 1, 1, 2, 4, 0, 1, 4, 3, 1, 2, 3, 4, 1, 4, 0, 2, 1, 1, 4, 0, 4, 3, 0, 1, 3, 2, 3, 2, 2, 4, 0, 2, 1, 4, 3, 4, 4, 3, 0, 3, 4, 0, 1, 2, 0, 4, 1, 1, 2, 2, 4, 0, 3, 3, 4, 2, 0, 1, 3, 3, 2, 0, 2, 4, 2, 4, 2, 1, 2, 0, 0, 0, 2, 0, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 2, 2, 3, 0, 0, 2, 4, 4, 2, 4, 4, 0, 1, 4, 0, 3, 0, 3, 1, 3, 3, 3, 3, 1, 2, 2, 2, 0, 2, 4, 3, 0, 2, 2, 1, 1, 4, 1, 4, 4, 2, 1, 4, 0, 2, 2, 1, 1, 4, 3, 2, 2, 0, 1, 0, 3, 4, 3, 2, 2, 0, 4, 4]
pubkeycol949 = [1, 2, 0, 4, 1, 4, 2, 3, 2, 2, 4, 0, 2, 2, 3, 3, 1, 1, 4, 3, 1, 0, 3, 1, 1, 0, 4, 3, 3, 2, 4, 4, 4, 1, 1, 1, 0, 2, 3, 3, 3, 4, 0, 3, 2, 0, 4, 0, 2, 4, 3, 4, 4, 0, 0, 3, 0, 4, 2, 1, 0, 3, 0, 1, 2, 0, 2, 4, 4, 4, 1, 4, 3, 1, 3, 0, 0, 4, 4, 1, 4, 1, 0, 2, 0, 0, 3, 3, 4, 1, 1, 0, 0, 1, 3, 1, 1, 0, 3, 4, 2, 0, 0, 0, 1, 2, 4, 3, 1, 0, 4, 3, 2, 4, 1, 2, 4, 3, 2, 1, 4, 4, 1, 0, 2, 0, 2, 0, 3, 3, 3, 0, 3, 0, 4, 3, 4, 3, 4, 1, 4, 1, 1, 4, 1, 0, 4, 4, 0, 3, 4, 3, 2, 4, 2, 3, 4, 0, 0, 1, 4, 0, 3, 4, 1, 3, 2, 2, 1, 0, 2, 1, 2, 0, 3, 4, 1, 4, 1, 3, 1, 4, 0, 4, 4, 0, 2, 3, 3, 1, 1, 0, 3, 3, 1, 2, 3, 0, 2, 1, 2, 1, 3, 1, 4, 3, 2, 0, 4, 3, 2, 1, 3, 3, 1, 1, 4, 0, 4, 0, 4, 4, 3, 4, 3, 1, 4, 1, 1, 3, 4, 4, 2, 2, 3, 4, 1, 2, 1, 0, 2, 2, 3, 3, 2, 4, 2, 1, 4, 1, 2, 0, 0, 3, 3, 4, 3, 4, 1, 1, 1, 4, 2, 1, 0, 0, 3, 2, 2, 4, 3, 3, 3, 1, 3, 4, 3, 0, 3, 4, 0, 4, 1, 3, 1, 3, 4, 1, 0, 1, 1, 2, 3, 0, 3, 1, 1, 0, 2, 2, 1, 0, 4, 2, 1, 2, 2, 1, 4, 2, 2, 0, 3, 2, 2, 3, 4, 4, 2, 0]
pubkeycol950 = [1, 1, 0, 3, 1, 1, 1, 2, 4, 4, 0, 4, 1, 0, 4, 3, 1, 2, 4, 3, 4, 1, 3, 0, 0, 2, 1, 0, 2, 4, 2, 4, 2, 4, 4, 3, 3, 0, 0, 1, 1, 4, 0, 0, 1, 1, 3, 2, 4, 4, 0, 4, 4, 3, 1, 3, 1, 2, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 2, 2, 0, 3, 3, 4, 0, 4, 2, 4, 2, 2, 1, 2, 4, 4, 0, 2, 0, 1, 4, 3, 1, 1, 2, 0, 1, 4, 0, 0, 3, 3, 3, 4, 4, 2, 2, 4, 4, 3, 2, 1, 1, 1, 0, 4, 3, 4, 2, 4, 3, 2, 0, 0, 4, 4, 0, 3, 2, 0, 3, 4, 1, 0, 3, 0, 0, 4, 1, 4, 3, 2, 4, 1, 1, 4, 2, 4, 3, 1, 4, 1, 0, 4, 2, 4, 1, 0, 3, 0, 2, 0, 4, 4, 2, 0, 0, 3, 3, 0, 2, 0, 1, 3, 0, 3, 0, 0, 2, 4, 1, 2, 3, 1, 3, 0, 1, 2, 3, 4, 3, 3, 0, 4, 2, 0, 0, 4, 1, 4, 1, 2, 3, 1, 0, 1, 1, 1, 0, 3, 4, 1, 4, 0, 2, 3, 4, 2, 2, 1, 2, 4, 2, 1, 1, 4, 2, 0, 2, 4, 0, 2, 3, 3, 2, 3, 4, 3, 2, 3, 2, 4, 3, 2, 3, 4, 0, 3, 4, 4, 3, 0, 0, 0, 2, 4, 1, 4, 2, 2, 2, 2, 1, 2, 3, 0, 1, 2, 0, 2, 3, 0, 2, 3, 0, 4, 4, 2, 2, 3, 2, 2, 0, 0, 4, 4, 0, 1, 0, 3, 1, 2, 4, 2, 1, 4, 3, 4, 0, 3, 4, 4, 4, 3, 2, 0, 2, 2, 1, 0, 3, 0, 1, 1, 2, 0, 0, 4, 4, 4, 3, 4]
pubkeycol951 = [1, 0, 4, 1, 3, 1, 3, 1, 1, 4, 2, 1, 2, 3, 3, 0, 2, 3, 3, 0, 0, 3, 4, 2, 4, 1, 4, 1, 0, 4, 3, 1, 3, 4, 0, 3, 0, 1, 4, 2, 4, 1, 1, 1, 1, 0, 2, 3, 0, 4, 3, 3, 1, 0, 0, 3, 3, 0, 1, 2, 3, 2, 0, 0, 4, 4, 1, 4, 3, 4, 0, 0, 2, 4, 4, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 1, 4, 2, 1, 2, 0, 3, 2, 4, 0, 3, 0, 4, 1, 4, 2, 1, 2, 2, 3, 3, 3, 4, 2, 3, 2, 4, 2, 1, 2, 0, 3, 2, 3, 3, 3, 0, 1, 2, 2, 1, 1, 3, 4, 0, 1, 0, 2, 3, 3, 1, 4, 2, 4, 1, 2, 4, 1, 0, 1, 2, 3, 2, 2, 1, 4, 1, 4, 2, 2, 0, 2, 3, 3, 2, 3, 2, 3, 4, 3, 4, 4, 4, 4, 0, 4, 4, 3, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 1, 4, 4, 3, 3, 0, 2, 4, 1, 0, 3, 1, 2, 4, 4, 4, 4, 2, 0, 1, 3, 1, 1, 4, 1, 2, 1, 2, 2, 2, 3, 4, 2, 3, 2, 0, 0, 3, 0, 0, 3, 1, 1, 3, 3, 0, 0, 3, 0, 2, 0, 0, 3, 4, 0, 4, 2, 3, 4, 4, 0, 1, 0, 0, 2, 4, 4, 3, 0, 0, 1, 3, 4, 2, 1, 0, 2, 0, 0, 4, 4, 0, 0, 0, 3, 1, 4, 0, 0, 3, 4, 1, 4, 1, 4, 1, 0, 1, 0, 2, 2, 4, 3, 2, 4, 0, 2, 0, 4, 0, 2, 3, 2, 4, 3, 2, 3, 3, 1, 4, 1, 1, 3, 3, 0, 4, 1, 4, 1, 3, 3, 3, 2]
pubkeycol952 = [0, 2, 2, 3, 2, 0, 0, 4, 0, 1, 3, 4, 3, 3, 4, 3, 4, 1, 4, 0, 1, 3, 4, 1, 1, 0, 4, 0, 2, 3, 3, 1, 2, 2, 3, 4, 4, 0, 0, 2, 3, 4, 0, 4, 3, 4, 2, 2, 4, 3, 4, 0, 3, 2, 4, 4, 2, 0, 2, 4, 0, 4, 1, 3, 3, 2, 2, 4, 0, 2, 2, 0, 3, 0, 3, 3, 0, 3, 0, 1, 2, 2, 3, 3, 1, 1, 0, 3, 4, 3, 1, 0, 2, 4, 4, 4, 0, 4, 2, 4, 1, 0, 1, 2, 2, 0, 1, 4, 2, 0, 4, 0, 1, 3, 3, 0, 0, 4, 1, 1, 3, 3, 0, 4, 2, 2, 4, 4, 0, 3, 1, 1, 4, 2, 4, 3, 2, 0, 2, 1, 1, 3, 4, 2, 0, 3, 4, 4, 2, 4, 4, 1, 1, 2, 1, 2, 2, 1, 0, 4, 1, 3, 1, 1, 3, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 3, 2, 0, 1, 3, 0, 2, 1, 1, 3, 3, 4, 2, 3, 2, 2, 4, 1, 1, 4, 3, 1, 2, 1, 0, 2, 4, 4, 4, 3, 4, 4, 1, 0, 2, 3, 4, 2, 0, 1, 3, 1, 2, 3, 1, 1, 4, 3, 4, 3, 1, 2, 3, 3, 4, 2, 4, 0, 0, 1, 0, 2, 4, 0, 4, 2, 2, 2, 4, 3, 4, 2, 1, 3, 2, 2, 1, 2, 4, 0, 0, 1, 1, 1, 3, 2, 0, 3, 1, 1, 3, 4, 4, 4, 1, 2, 4, 0, 4, 4, 1, 0, 3, 3, 2, 4, 0, 4, 3, 4, 2, 4, 1, 2, 2, 0, 0, 1, 0, 3, 2, 0, 2, 2, 0, 1, 2, 4, 0, 3, 2, 1, 0, 0, 4, 4, 0, 1, 0, 4, 0, 2, 0, 0]
pubkeycol953 = [1, 2, 1, 1, 0, 1, 3, 1, 4, 3, 2, 4, 1, 4, 2, 4, 4, 4, 4, 2, 0, 4, 1, 1, 0, 2, 1, 1, 1, 3, 1, 2, 4, 4, 0, 4, 2, 1, 0, 0, 2, 4, 3, 3, 2, 3, 3, 1, 2, 3, 3, 4, 0, 0, 3, 3, 2, 4, 4, 2, 4, 4, 4, 1, 1, 0, 1, 1, 3, 1, 1, 1, 3, 2, 2, 2, 0, 2, 0, 4, 4, 0, 3, 2, 1, 0, 0, 3, 1, 0, 0, 4, 1, 1, 1, 4, 2, 1, 3, 1, 2, 4, 3, 1, 2, 0, 4, 1, 3, 2, 4, 0, 3, 3, 4, 0, 3, 4, 2, 1, 0, 2, 3, 4, 3, 0, 1, 2, 4, 4, 2, 1, 3, 2, 3, 0, 2, 0, 4, 4, 3, 0, 3, 0, 0, 3, 2, 2, 2, 1, 0, 2, 2, 0, 4, 2, 1, 0, 0, 1, 0, 3, 0, 0, 4, 3, 1, 1, 3, 3, 1, 4, 1, 1, 4, 0, 2, 4, 3, 4, 0, 0, 3, 0, 0, 2, 0, 1, 4, 3, 0, 1, 3, 2, 3, 1, 4, 4, 2, 4, 4, 2, 2, 0, 0, 3, 0, 4, 1, 3, 3, 2, 3, 2, 0, 0, 0, 3, 4, 3, 3, 3, 0, 4, 1, 3, 2, 4, 2, 3, 0, 4, 0, 0, 4, 0, 3, 4, 3, 0, 0, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 2, 4, 2, 4, 4, 2, 0, 2, 0, 2, 4, 2, 1, 3, 2, 4, 0, 1, 2, 3, 2, 2, 3, 4, 0, 2, 1, 0, 3, 4, 3, 0, 3, 1, 2, 4, 1, 3, 2, 4, 3, 0, 1, 0, 0, 3, 0, 2, 1, 3, 3, 3, 1, 3, 4, 0, 0, 2, 1, 0, 4, 1, 4, 2, 1, 2, 3, 3, 2]
pubkeycol954 = [2, 1, 2, 0, 0, 4, 2, 2, 3, 3, 3, 2, 0, 0, 4, 3, 0, 1, 4, 1, 3, 0, 1, 2, 3, 3, 2, 1, 1, 1, 0, 3, 0, 4, 1, 4, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 3, 1, 2, 4, 4, 4, 2, 3, 2, 3, 1, 2, 3, 1, 1, 0, 4, 4, 4, 1, 2, 2, 0, 4, 4, 4, 2, 1, 4, 3, 0, 3, 3, 1, 2, 1, 4, 4, 0, 1, 3, 1, 4, 4, 1, 1, 3, 4, 2, 0, 1, 3, 4, 3, 4, 2, 0, 4, 2, 1, 0, 0, 4, 2, 3, 2, 2, 3, 1, 2, 0, 2, 4, 3, 2, 0, 1, 0, 0, 2, 0, 0, 0, 3, 4, 4, 2, 0, 0, 2, 0, 0, 1, 4, 3, 4, 0, 2, 4, 4, 3, 4, 0, 0, 3, 4, 1, 2, 1, 2, 2, 4, 3, 3, 2, 3, 0, 3, 3, 3, 4, 1, 4, 1, 1, 4, 1, 1, 1, 4, 4, 0, 4, 2, 3, 1, 3, 2, 2, 3, 2, 3, 3, 0, 1, 0, 3, 0, 1, 0, 0, 3, 4, 2, 2, 3, 3, 3, 0, 3, 1, 1, 1, 0, 4, 2, 4, 3, 2, 3, 2, 3, 1, 0, 3, 1, 4, 1, 4, 4, 4, 4, 1, 4, 4, 3, 0, 0, 3, 4, 1, 1, 2, 4, 2, 4, 1, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 4, 2, 2, 1, 4, 1, 2, 3, 2, 1, 1, 2, 3, 4, 4, 2, 2, 4, 1, 0, 2, 2, 1, 1, 0, 2, 3, 4, 2, 4, 2, 0, 0, 1, 3, 3, 2, 4, 2, 0, 0, 1, 0, 3, 3, 1, 0, 4, 3, 4, 1, 1, 2, 2]
pubkeycol955 = [0, 1, 3, 4, 4, 4, 3, 2, 4, 4, 0, 4, 2, 3, 3, 1, 2, 2, 0, 4, 3, 0, 1, 1, 4, 3, 0, 1, 4, 0, 2, 3, 1, 1, 2, 1, 1, 0, 2, 0, 1, 3, 3, 0, 3, 4, 4, 1, 4, 0, 3, 1, 2, 4, 0, 0, 4, 3, 3, 1, 0, 0, 0, 3, 4, 4, 1, 3, 0, 2, 4, 2, 0, 2, 1, 4, 1, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 4, 1, 3, 1, 2, 3, 3, 4, 0, 0, 3, 4, 3, 3, 3, 0, 1, 1, 3, 2, 0, 0, 1, 1, 3, 1, 0, 0, 2, 2, 1, 0, 2, 3, 0, 3, 1, 3, 3, 1, 4, 2, 0, 2, 0, 1, 3, 0, 4, 0, 1, 4, 0, 2, 1, 1, 0, 3, 0, 4, 1, 3, 4, 0, 0, 2, 4, 3, 4, 4, 2, 4, 2, 3, 3, 1, 4, 3, 3, 3, 0, 3, 4, 2, 0, 1, 4, 1, 1, 3, 2, 0, 3, 2, 2, 1, 3, 4, 3, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 3, 2, 4, 3, 2, 1, 0, 1, 4, 3, 0, 1, 4, 1, 3, 2, 0, 3, 3, 1, 4, 1, 2, 0, 0, 0, 4, 3, 0, 4, 2, 0, 3, 3, 4, 3, 3, 1, 2, 3, 1, 2, 4, 1, 0, 3, 1, 1, 2, 4, 2, 0, 0, 4, 4, 4, 1, 1, 3, 0, 0, 3, 3, 0, 2, 1, 4, 1, 3, 1, 2, 0, 0, 1, 2, 4, 1, 1, 4, 3, 4, 2, 4, 0, 3, 1, 4, 0, 4, 1, 4, 2, 1, 0, 0, 0, 2, 2, 4, 0, 2, 0, 4, 0, 2, 3, 1, 3, 3, 2, 1, 1, 4, 4, 2, 2, 2, 3, 1]
pubkeycol956 = [2, 4, 3, 2, 3, 4, 3, 2, 4, 2, 1, 4, 2, 3, 0, 4, 0, 1, 3, 1, 3, 1, 1, 1, 3, 0, 2, 1, 4, 2, 1, 4, 4, 0, 4, 3, 4, 1, 3, 3, 2, 4, 3, 0, 3, 0, 3, 4, 0, 0, 3, 2, 4, 4, 1, 4, 4, 0, 2, 1, 2, 0, 4, 0, 0, 1, 0, 0, 1, 4, 3, 2, 0, 3, 3, 3, 4, 1, 3, 1, 4, 0, 4, 1, 4, 0, 0, 1, 2, 0, 0, 1, 1, 3, 1, 4, 3, 4, 0, 3, 3, 3, 4, 1, 1, 3, 3, 2, 0, 0, 0, 2, 0, 4, 0, 3, 4, 0, 3, 1, 3, 0, 2, 3, 3, 1, 0, 0, 1, 0, 2, 4, 1, 1, 2, 2, 2, 0, 1, 4, 1, 0, 1, 1, 3, 3, 0, 3, 1, 3, 1, 2, 4, 0, 3, 3, 0, 0, 3, 0, 2, 1, 4, 0, 1, 0, 0, 2, 2, 4, 3, 0, 3, 1, 1, 3, 3, 0, 2, 2, 3, 4, 1, 3, 2, 4, 0, 3, 2, 3, 1, 2, 4, 2, 2, 1, 0, 2, 2, 4, 2, 0, 1, 1, 3, 3, 0, 2, 0, 3, 3, 1, 2, 2, 4, 2, 0, 1, 1, 1, 1, 4, 3, 1, 0, 2, 1, 0, 0, 1, 4, 0, 4, 1, 1, 3, 3, 3, 4, 1, 0, 1, 0, 1, 4, 1, 1, 0, 2, 2, 2, 0, 4, 1, 3, 0, 3, 0, 0, 4, 1, 0, 2, 2, 2, 0, 4, 1, 2, 1, 4, 1, 1, 1, 1, 0, 4, 3, 4, 2, 4, 2, 0, 4, 1, 4, 2, 4, 2, 4, 2, 3, 4, 4, 2, 4, 1, 2, 2, 2, 1, 0, 1, 1, 3, 1, 4, 4, 4, 4, 4, 2, 4, 1, 1, 3, 3, 4, 1, 3]
pubkeycol957 = [2, 2, 2, 3, 1, 0, 2, 3, 0, 2, 1, 4, 4, 4, 1, 1, 1, 0, 4, 1, 0, 1, 0, 2, 1, 2, 2, 1, 3, 1, 1, 1, 1, 2, 0, 3, 4, 1, 2, 2, 3, 3, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 4, 1, 3, 4, 3, 4, 3, 2, 1, 4, 2, 4, 3, 2, 0, 1, 2, 2, 0, 2, 2, 0, 4, 0, 0, 2, 3, 3, 2, 1, 1, 0, 4, 0, 4, 3, 3, 4, 1, 3, 4, 3, 0, 4, 2, 2, 2, 4, 0, 3, 0, 4, 0, 3, 2, 2, 0, 4, 0, 0, 2, 2, 3, 0, 3, 3, 4, 1, 1, 4, 0, 0, 4, 3, 3, 4, 3, 0, 3, 3, 0, 0, 1, 4, 4, 4, 0, 2, 3, 0, 3, 2, 4, 3, 2, 0, 3, 1, 0, 4, 2, 2, 1, 2, 1, 1, 1, 4, 0, 1, 3, 3, 3, 1, 3, 4, 0, 2, 0, 2, 3, 0, 2, 1, 3, 1, 3, 3, 0, 2, 4, 4, 3, 3, 4, 1, 1, 4, 0, 3, 3, 2, 0, 4, 4, 3, 3, 2, 2, 3, 4, 1, 1, 2, 0, 3, 4, 3, 2, 3, 1, 2, 1, 1, 3, 0, 1, 0, 3, 4, 3, 4, 3, 4, 4, 3, 0, 4, 1, 2, 0, 1, 3, 2, 1, 4, 2, 0, 0, 4, 0, 0, 2, 3, 2, 3, 1, 2, 2, 4, 4, 2, 3, 3, 4, 4, 3, 1, 1, 1, 1, 1, 4, 4, 3, 4, 0, 0, 3, 4, 2, 0, 2, 2, 2, 0, 2, 1, 3, 0, 3, 0, 1, 2, 4, 1, 4, 2, 1, 1, 1, 1, 3, 3, 3, 3, 2, 2, 4, 4, 3, 0, 2, 2, 4, 4, 3, 2, 0, 1, 3, 1, 2, 0, 4, 2, 1, 0]
pubkeycol958 = [4, 3, 2, 4, 3, 4, 4, 0, 0, 1, 0, 3, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 3, 1, 2, 0, 4, 1, 2, 1, 3, 4, 2, 3, 3, 1, 1, 1, 0, 1, 0, 1, 0, 3, 3, 1, 1, 3, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 4, 4, 4, 1, 3, 0, 1, 1, 1, 1, 4, 2, 0, 2, 1, 2, 1, 2, 1, 1, 3, 3, 2, 4, 2, 0, 3, 2, 4, 1, 3, 1, 0, 4, 2, 0, 0, 3, 1, 0, 3, 1, 2, 0, 2, 0, 2, 4, 1, 2, 3, 1, 1, 2, 4, 2, 4, 3, 4, 0, 1, 0, 2, 0, 2, 2, 1, 4, 4, 4, 3, 4, 0, 2, 2, 1, 4, 3, 1, 1, 2, 1, 2, 4, 3, 1, 0, 3, 0, 3, 4, 2, 4, 4, 3, 2, 0, 3, 4, 4, 2, 2, 0, 0, 3, 4, 3, 2, 2, 3, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 3, 1, 1, 1, 0, 3, 1, 2, 0, 4, 2, 2, 4, 2, 2, 3, 4, 2, 0, 0, 1, 3, 3, 3, 4, 1, 0, 2, 1, 0, 0, 3, 1, 3, 4, 3, 0, 1, 2, 1, 3, 2, 1, 3, 4, 0, 4, 2, 1, 3, 2, 1, 0, 3, 2, 0, 0, 2, 1, 4, 2, 1, 1, 2, 2, 3, 0, 4, 1, 4, 4, 0, 2, 1, 2, 0, 0, 3, 0, 3, 4, 4, 4, 0, 4, 1, 0, 4, 1, 1, 4, 3, 4, 3, 4, 2, 3, 2, 2, 3, 0, 4, 0, 2, 1, 2, 0, 0, 4, 3, 4, 3, 4, 3, 2, 2, 2, 3, 4, 0, 4, 3, 0, 2, 2, 0, 4, 0, 1, 2, 3, 2, 3, 1, 3, 0, 0, 1, 4]
pubkeycol959 = [0, 2, 4, 1, 2, 4, 1, 4, 3, 4, 1, 1, 3, 1, 1, 4, 1, 1, 0, 0, 1, 1, 0, 3, 3, 4, 3, 0, 1, 1, 2, 0, 4, 2, 0, 0, 1, 3, 0, 0, 3, 0, 3, 0, 0, 2, 3, 4, 2, 1, 1, 1, 3, 4, 2, 2, 3, 3, 2, 1, 1, 2, 2, 0, 2, 3, 0, 2, 3, 4, 1, 1, 3, 0, 4, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 4, 3, 0, 1, 4, 3, 0, 2, 4, 4, 0, 1, 0, 2, 2, 2, 3, 1, 3, 3, 0, 1, 4, 2, 3, 3, 2, 3, 1, 4, 4, 0, 3, 1, 2, 4, 1, 2, 4, 2, 3, 2, 3, 1, 1, 4, 2, 4, 4, 3, 1, 0, 4, 4, 1, 0, 1, 2, 3, 3, 1, 2, 2, 0, 2, 1, 4, 3, 0, 1, 1, 1, 4, 2, 3, 0, 3, 1, 1, 1, 0, 1, 3, 4, 2, 0, 1, 3, 0, 4, 4, 1, 2, 2, 3, 2, 3, 3, 2, 2, 4, 0, 1, 1, 4, 1, 0, 0, 3, 0, 3, 4, 1, 4, 2, 0, 0, 2, 0, 0, 3, 3, 0, 0, 2, 3, 4, 2, 3, 2, 1, 2, 3, 0, 2, 3, 0, 3, 3, 3, 4, 3, 0, 2, 4, 3, 0, 1, 4, 2, 3, 3, 1, 1, 4, 0, 1, 0, 0, 1, 3, 0, 3, 3, 2, 3, 1, 2, 1, 3, 3, 1, 0, 3, 0, 2, 1, 3, 0, 4, 3, 2, 3, 3, 1, 3, 3, 3, 3, 4, 1, 3, 3, 1, 3, 4, 2, 1, 1, 2, 2, 0, 3, 0, 0, 2, 4, 3, 3, 2, 3, 0, 4, 2, 4, 0, 3, 2, 2, 3, 4, 1, 1, 2, 2, 3, 4, 2, 1, 0, 1, 0, 1, 3]
pubkeycol960 = [4, 3, 0, 2, 4, 3, 2, 3, 1, 3, 4, 4, 4, 0, 2, 0, 2, 4, 0, 4, 3, 1, 3, 1, 2, 2, 4, 0, 1, 0, 2, 4, 2, 0, 1, 4, 0, 3, 1, 4, 0, 0, 3, 4, 4, 4, 4, 2, 2, 1, 2, 0, 0, 0, 0, 2, 4, 2, 1, 2, 2, 0, 3, 0, 0, 1, 2, 3, 0, 3, 2, 2, 4, 1, 4, 1, 4, 4, 0, 1, 1, 0, 3, 0, 0, 0, 3, 2, 4, 0, 4, 3, 3, 3, 4, 0, 3, 3, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 4, 3, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 3, 2, 4, 0, 0, 3, 1, 1, 3, 0, 3, 4, 2, 1, 2, 1, 3, 4, 4, 3, 2, 3, 4, 0, 0, 4, 0, 2, 1, 1, 2, 1, 4, 1, 0, 3, 3, 1, 0, 2, 2, 4, 1, 0, 2, 0, 0, 3, 0, 1, 4, 2, 3, 1, 2, 4, 4, 3, 4, 4, 4, 0, 3, 2, 2, 2, 2, 4, 3, 4, 3, 2, 0, 1, 4, 3, 1, 4, 2, 3, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 4, 2, 2, 0, 2, 1, 2, 3, 4, 3, 3, 0, 2, 4, 3, 4, 2, 4, 4, 4, 2, 4, 0, 3, 3, 3, 3, 4, 1, 0, 1, 1, 1, 0, 4, 1, 2, 4, 0, 2, 1, 0, 2, 4, 2, 0, 2, 3, 4, 3, 2, 2, 1, 2, 3, 3, 1, 3, 4, 1, 1, 4, 3, 3, 1, 4, 1, 3, 3, 3, 1, 1, 3, 0, 0, 2, 4, 3, 1, 2, 0, 2, 1, 3, 2, 3, 0, 4, 0, 1, 1, 3, 3, 0, 3, 0, 4, 1, 0, 1, 4, 0, 3, 2, 4, 2, 4, 3, 2, 2]
pubkeycol961 = [2, 4, 0, 1, 3, 2, 0, 3, 4, 0, 4, 4, 4, 2, 3, 1, 0, 2, 0, 2, 3, 4, 4, 0, 0, 3, 3, 1, 2, 3, 4, 3, 1, 1, 4, 3, 1, 3, 0, 4, 4, 3, 1, 4, 2, 2, 2, 2, 2, 1, 0, 4, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 3, 4, 2, 0, 1, 3, 4, 3, 0, 3, 1, 0, 2, 3, 4, 0, 3, 0, 0, 1, 3, 4, 2, 0, 3, 3, 4, 1, 3, 0, 2, 3, 4, 0, 4, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 3, 0, 1, 1, 4, 2, 4, 4, 3, 3, 0, 3, 0, 1, 4, 2, 0, 3, 2, 0, 3, 2, 0, 2, 0, 3, 0, 1, 2, 3, 2, 0, 0, 4, 2, 1, 4, 4, 0, 1, 2, 4, 4, 3, 4, 3, 3, 2, 0, 1, 3, 1, 1, 2, 4, 3, 4, 0, 4, 3, 1, 3, 0, 2, 0, 3, 1, 2, 4, 1, 2, 1, 3, 0, 0, 4, 1, 0, 4, 1, 0, 2, 4, 1, 0, 1, 0, 0, 4, 1, 2, 2, 2, 4, 4, 1, 2, 3, 3, 4, 4, 4, 3, 2, 1, 4, 0, 3, 4, 0, 2, 4, 1, 4, 4, 4, 2, 4, 3, 0, 4, 1, 3, 4, 3, 4, 1, 2, 0, 4, 0, 1, 4, 4, 0, 2, 3, 3, 3, 1, 1, 3, 3, 3, 2, 2, 1, 3, 4, 4, 4, 1, 0, 2, 0, 0, 1, 1, 0, 3, 4, 3, 2, 2, 4, 1, 3, 3, 0, 2, 2, 1, 4, 1, 2, 2, 3, 3, 1, 2, 3, 0, 0, 2, 2, 3, 0, 3, 1, 4, 0, 0, 4, 3, 4, 2, 2, 1, 1, 0, 0, 0, 0, 4, 0, 0, 4, 2, 1, 1, 1, 0, 4]
pubkeycol962 = [2, 3, 2, 0, 0, 2, 4, 0, 2, 1, 0, 3, 1, 4, 1, 0, 2, 3, 0, 0, 4, 0, 2, 0, 1, 3, 4, 1, 2, 2, 3, 2, 0, 0, 2, 1, 1, 0, 3, 1, 4, 3, 4, 2, 0, 2, 3, 2, 0, 1, 2, 4, 3, 4, 4, 2, 0, 2, 1, 1, 4, 4, 1, 0, 0, 4, 1, 1, 1, 1, 1, 3, 4, 4, 3, 2, 3, 0, 0, 3, 3, 0, 4, 2, 2, 4, 0, 2, 0, 2, 1, 0, 0, 3, 3, 0, 2, 0, 1, 2, 2, 0, 2, 0, 3, 2, 2, 2, 1, 3, 4, 4, 3, 4, 1, 1, 3, 1, 4, 0, 1, 1, 1, 4, 4, 0, 4, 3, 1, 4, 0, 2, 3, 4, 2, 1, 4, 1, 4, 0, 4, 2, 0, 2, 2, 2, 3, 0, 0, 4, 0, 1, 3, 0, 2, 3, 0, 0, 0, 4, 3, 4, 3, 0, 2, 3, 4, 1, 1, 3, 0, 4, 1, 4, 0, 1, 3, 1, 3, 0, 1, 1, 1, 1, 4, 4, 0, 4, 2, 2, 1, 4, 1, 4, 0, 4, 2, 1, 2, 2, 0, 0, 0, 1, 3, 0, 1, 0, 3, 1, 2, 2, 2, 3, 3, 1, 3, 1, 2, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 2, 3, 1, 4, 2, 2, 3, 4, 2, 0, 3, 4, 0, 4, 2, 4, 3, 4, 0, 4, 1, 1, 2, 3, 1, 4, 2, 0, 0, 0, 2, 2, 2, 3, 1, 4, 1, 2, 4, 4, 3, 2, 1, 4, 1, 3, 3, 4, 2, 2, 2, 1, 2, 4, 3, 0, 1, 0, 4, 3, 2, 4, 1, 4, 2, 4, 4, 0, 1, 0, 1, 1, 2, 3, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 4, 4]
pubkeycol963 = [1, 2, 4, 1, 3, 1, 4, 3, 1, 3, 1, 1, 3, 2, 2, 3, 2, 4, 0, 3, 2, 4, 2, 0, 1, 2, 4, 1, 4, 0, 2, 1, 4, 1, 0, 2, 0, 3, 1, 4, 2, 3, 4, 4, 3, 2, 3, 1, 3, 4, 4, 3, 0, 2, 4, 1, 1, 2, 4, 0, 0, 3, 3, 1, 4, 1, 1, 2, 4, 4, 4, 1, 2, 3, 0, 1, 4, 1, 4, 0, 1, 0, 2, 2, 4, 0, 0, 0, 0, 4, 2, 1, 4, 4, 2, 2, 3, 2, 1, 0, 3, 4, 4, 0, 0, 4, 1, 3, 3, 1, 4, 1, 2, 1, 4, 2, 3, 3, 2, 0, 3, 1, 0, 2, 3, 0, 0, 3, 0, 0, 1, 3, 0, 0, 0, 3, 4, 3, 1, 2, 4, 4, 4, 1, 2, 2, 4, 4, 0, 4, 4, 1, 3, 4, 2, 4, 0, 4, 4, 3, 1, 3, 4, 2, 4, 2, 2, 3, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 3, 0, 2, 3, 0, 0, 0, 0, 3, 2, 0, 1, 1, 0, 3, 0, 1, 3, 0, 2, 0, 3, 1, 4, 3, 1, 0, 0, 3, 3, 0, 1, 3, 2, 0, 3, 1, 0, 1, 2, 0, 4, 1, 1, 4, 2, 0, 0, 0, 3, 2, 0, 0, 3, 2, 2, 4, 2, 1, 0, 0, 2, 3, 3, 1, 0, 4, 2, 1, 1, 2, 2, 4, 4, 4, 0, 1, 2, 3, 1, 4, 1, 3, 4, 2, 4, 3, 0, 3, 1, 2, 3, 4, 4, 2, 4, 2, 1, 3, 4, 2, 4, 3, 0, 1, 0, 3, 1, 4, 3, 1, 4, 1, 2, 2, 3, 2, 2, 2, 1, 0, 3, 4, 0, 2, 0, 3, 4, 1, 1, 4, 3, 1, 2, 1, 2, 0, 0, 0]
pubkeycol964 = [1, 2, 0, 3, 2, 4, 0, 2, 4, 2, 0, 0, 3, 3, 2, 3, 4, 4, 1, 3, 0, 3, 2, 4, 3, 4, 0, 0, 4, 4, 4, 4, 3, 4, 1, 4, 4, 2, 3, 0, 1, 4, 2, 2, 2, 2, 4, 2, 1, 4, 2, 0, 1, 1, 4, 1, 0, 3, 4, 3, 3, 3, 0, 3, 2, 3, 0, 4, 4, 2, 1, 0, 0, 3, 4, 1, 0, 1, 4, 0, 4, 1, 1, 4, 1, 0, 2, 1, 3, 3, 4, 1, 4, 3, 0, 0, 2, 3, 0, 1, 0, 2, 2, 2, 4, 1, 1, 1, 3, 1, 4, 4, 0, 4, 3, 2, 1, 3, 4, 1, 2, 1, 2, 2, 1, 4, 4, 2, 4, 2, 1, 1, 1, 3, 1, 3, 1, 0, 3, 4, 4, 4, 0, 2, 4, 2, 3, 4, 0, 2, 3, 1, 4, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 4, 2, 0, 1, 2, 4, 1, 1, 2, 3, 0, 0, 0, 4, 3, 3, 0, 3, 1, 0, 2, 2, 1, 1, 3, 0, 3, 1, 2, 1, 3, 0, 2, 1, 2, 1, 3, 2, 2, 0, 2, 4, 2, 2, 1, 3, 4, 3, 0, 2, 0, 3, 4, 0, 4, 4, 4, 4, 2, 1, 0, 3, 2, 1, 4, 1, 0, 1, 1, 4, 2, 3, 3, 3, 2, 3, 4, 1, 0, 4, 2, 3, 0, 1, 0, 4, 4, 2, 3, 2, 0, 4, 0, 1, 2, 2, 3, 3, 1, 2, 3, 4, 4, 1, 0, 2, 0, 4, 1, 0, 4, 0, 1, 1, 2, 1, 3, 4, 3, 2, 4, 0, 2, 0, 3, 1, 4, 2, 2, 0, 4, 4, 1, 4, 4, 3, 3, 4, 2, 3, 2, 2, 1, 1, 0, 1, 3, 4, 0, 1, 0, 0, 4, 0]
pubkeycol965 = [1, 0, 2, 0, 3, 4, 3, 3, 1, 4, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 4, 0, 2, 3, 4, 4, 3, 1, 3, 3, 3, 4, 1, 3, 1, 3, 4, 2, 4, 4, 2, 0, 0, 3, 4, 4, 3, 3, 2, 4, 4, 3, 1, 3, 4, 0, 1, 2, 2, 1, 1, 4, 2, 1, 1, 3, 1, 3, 2, 0, 3, 3, 4, 4, 2, 0, 4, 2, 0, 2, 0, 4, 1, 1, 2, 0, 0, 3, 3, 3, 1, 0, 0, 1, 4, 2, 1, 3, 1, 4, 4, 4, 2, 4, 2, 0, 1, 3, 4, 1, 3, 4, 3, 3, 2, 2, 1, 0, 2, 3, 1, 2, 2, 1, 0, 2, 2, 0, 4, 0, 1, 1, 3, 4, 3, 0, 1, 1, 1, 3, 4, 1, 3, 4, 1, 1, 3, 4, 1, 1, 3, 4, 3, 3, 3, 0, 0, 3, 0, 3, 4, 0, 2, 2, 2, 1, 4, 2, 2, 0, 1, 2, 3, 4, 3, 2, 3, 3, 0, 1, 0, 3, 0, 4, 1, 1, 3, 3, 0, 0, 0, 1, 1, 3, 0, 1, 1, 0, 4, 3, 0, 0, 3, 4, 2, 2, 0, 4, 4, 1, 0, 0, 3, 4, 0, 3, 1, 0, 1, 0, 1, 4, 4, 0, 3, 0, 3, 0, 3, 2, 2, 4, 1, 4, 2, 4, 0, 2, 1, 2, 2, 3, 2, 3, 0, 0, 2, 0, 0, 4, 4, 4, 4, 0, 4, 0, 2, 0, 0, 4, 2, 4, 4, 3, 4, 4, 0, 3, 1, 4, 3, 1, 1, 2, 3, 2, 4, 3, 2, 3, 2, 1, 2, 1, 0, 4, 4, 3, 4, 2, 3, 4, 3, 2, 0, 1, 4, 0, 0, 1, 2, 0, 4, 3, 2, 4, 0, 3, 2, 0, 2, 3, 2, 1, 1, 1, 4, 1, 3, 1]
pubkeycol966 = [0, 1, 0, 4, 0, 1, 3, 3, 4, 4, 4, 2, 1, 3, 4, 3, 4, 4, 3, 0, 3, 0, 2, 1, 1, 0, 1, 4, 3, 1, 3, 0, 0, 1, 0, 2, 0, 3, 2, 4, 1, 3, 2, 2, 3, 1, 4, 1, 2, 1, 2, 0, 0, 3, 2, 0, 2, 2, 2, 4, 4, 2, 3, 1, 4, 4, 0, 0, 0, 0, 3, 3, 4, 4, 1, 1, 2, 1, 0, 0, 3, 2, 3, 1, 0, 1, 2, 2, 0, 4, 4, 0, 4, 3, 4, 2, 4, 1, 0, 1, 1, 1, 3, 1, 4, 1, 0, 3, 1, 1, 0, 3, 3, 4, 4, 2, 1, 1, 3, 3, 2, 0, 3, 1, 4, 3, 1, 2, 1, 3, 1, 2, 4, 4, 4, 3, 4, 1, 2, 3, 3, 1, 3, 1, 1, 0, 2, 1, 3, 1, 4, 3, 3, 2, 0, 4, 4, 2, 3, 0, 4, 4, 3, 2, 1, 1, 2, 1, 0, 3, 3, 1, 3, 4, 0, 4, 4, 4, 2, 1, 4, 3, 4, 1, 1, 2, 4, 3, 4, 1, 3, 0, 4, 1, 3, 2, 4, 2, 0, 2, 4, 0, 2, 1, 4, 0, 2, 4, 4, 1, 0, 1, 4, 3, 0, 3, 3, 1, 2, 4, 1, 3, 0, 3, 1, 3, 4, 0, 3, 3, 2, 3, 0, 4, 2, 0, 2, 0, 2, 0, 2, 4, 1, 2, 0, 2, 3, 3, 1, 4, 2, 3, 3, 2, 1, 4, 0, 0, 2, 4, 1, 4, 2, 4, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 4, 3, 0, 4, 2, 2, 0, 0, 1, 0, 1, 3, 1, 0, 3, 4, 4, 3, 2, 1, 3, 2, 4, 1, 4, 0, 2, 2, 1, 4, 3, 3, 3, 1, 3, 0, 4, 3, 3, 2, 2, 1, 3, 4, 0]
pubkeycol967 = [1, 3, 4, 1, 3, 0, 0, 1, 2, 1, 1, 0, 2, 4, 4, 2, 0, 3, 1, 1, 1, 1, 1, 4, 1, 1, 0, 2, 2, 3, 3, 0, 1, 3, 3, 1, 1, 0, 2, 0, 1, 1, 4, 2, 3, 4, 4, 4, 3, 4, 0, 1, 4, 2, 1, 2, 3, 4, 0, 3, 1, 0, 0, 0, 1, 4, 3, 2, 2, 1, 3, 0, 2, 4, 2, 3, 2, 1, 4, 1, 2, 0, 0, 4, 4, 3, 1, 1, 4, 2, 3, 4, 2, 3, 1, 3, 3, 1, 2, 0, 2, 1, 4, 2, 4, 3, 3, 1, 2, 0, 0, 1, 3, 2, 1, 0, 0, 1, 4, 4, 4, 1, 1, 3, 1, 2, 4, 1, 3, 2, 1, 3, 3, 1, 0, 1, 0, 2, 3, 4, 3, 1, 1, 2, 2, 2, 1, 1, 3, 2, 3, 2, 2, 1, 3, 1, 3, 0, 0, 4, 2, 0, 0, 2, 1, 0, 3, 2, 3, 4, 4, 1, 2, 3, 0, 3, 0, 0, 3, 3, 4, 4, 1, 1, 2, 0, 0, 0, 2, 3, 0, 4, 4, 0, 3, 4, 0, 1, 3, 0, 1, 2, 1, 3, 2, 2, 1, 1, 2, 1, 2, 3, 4, 0, 4, 4, 1, 4, 3, 2, 4, 0, 0, 1, 1, 0, 1, 4, 3, 1, 1, 0, 0, 1, 0, 4, 0, 2, 3, 3, 4, 3, 0, 0, 2, 4, 0, 2, 1, 0, 3, 1, 3, 3, 2, 0, 4, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 3, 1, 1, 3, 1, 0, 4, 0, 1, 1, 0, 2, 4, 2, 3, 2, 2, 1, 1, 2, 0, 3, 4, 4, 3, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 0, 0, 0, 2, 0, 2, 3, 4, 4, 2, 4, 3, 3, 0, 4, 1, 2]
pubkeycol968 = [0, 3, 2, 2, 4, 1, 0, 3, 3, 2, 2, 3, 2, 4, 3, 3, 0, 0, 0, 1, 0, 0, 1, 4, 2, 4, 0, 3, 2, 3, 1, 1, 0, 4, 2, 2, 1, 4, 1, 0, 1, 4, 4, 4, 1, 1, 3, 4, 4, 1, 4, 2, 4, 2, 2, 1, 0, 3, 3, 3, 4, 2, 2, 4, 3, 0, 0, 2, 2, 4, 0, 1, 0, 3, 3, 2, 4, 2, 3, 3, 3, 2, 0, 3, 2, 2, 1, 2, 4, 2, 0, 4, 0, 0, 1, 2, 1, 1, 4, 1, 4, 2, 4, 4, 2, 0, 4, 2, 0, 1, 0, 3, 3, 2, 0, 3, 1, 1, 0, 4, 0, 3, 4, 0, 0, 4, 3, 2, 4, 1, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 3, 2, 2, 1, 0, 2, 2, 1, 3, 3, 4, 0, 4, 2, 2, 3, 0, 0, 3, 3, 2, 3, 2, 3, 4, 1, 4, 4, 4, 1, 0, 0, 3, 3, 2, 2, 1, 0, 4, 1, 3, 3, 1, 0, 0, 1, 4, 4, 1, 3, 4, 4, 4, 3, 4, 3, 1, 4, 4, 0, 2, 2, 2, 4, 0, 2, 0, 4, 0, 2, 0, 3, 4, 2, 3, 1, 2, 2, 0, 4, 4, 1, 0, 4, 0, 1, 3, 2, 2, 1, 3, 0, 0, 4, 1, 4, 2, 4, 1, 4, 3, 0, 1, 2, 3, 2, 0, 3, 0, 4, 3, 2, 1, 3, 0, 4, 4, 0, 4, 1, 4, 3, 3, 3, 1, 2, 4, 2, 3, 0, 1, 4, 3, 3, 4, 3, 3, 3, 0, 4, 2, 3, 3, 4, 0, 4, 3, 1, 4, 0, 3, 2, 2, 2, 4, 3, 2, 2, 2, 3, 4, 4, 2, 0, 0, 4, 3, 2, 2, 3, 4, 0, 2, 2, 1, 0, 4, 4, 3, 0]
pubkeycol969 = [3, 1, 0, 0, 3, 0, 4, 4, 0, 4, 0, 2, 2, 0, 3, 4, 3, 2, 0, 2, 0, 0, 3, 0, 4, 1, 0, 3, 1, 4, 3, 4, 0, 0, 2, 0, 4, 1, 0, 0, 3, 1, 2, 0, 0, 1, 2, 3, 2, 3, 3, 4, 2, 0, 4, 1, 0, 4, 0, 2, 2, 3, 4, 0, 1, 4, 4, 4, 2, 3, 2, 1, 4, 3, 4, 0, 2, 0, 4, 0, 2, 2, 2, 1, 3, 2, 4, 2, 3, 4, 4, 1, 2, 3, 1, 0, 0, 3, 1, 4, 4, 3, 1, 3, 1, 1, 0, 4, 3, 0, 1, 3, 1, 0, 3, 4, 4, 4, 2, 1, 0, 4, 3, 3, 2, 4, 2, 3, 0, 2, 1, 2, 0, 3, 3, 4, 3, 2, 4, 1, 0, 0, 2, 1, 3, 2, 4, 1, 3, 3, 3, 4, 2, 3, 4, 0, 3, 1, 2, 3, 1, 2, 4, 2, 2, 0, 3, 0, 4, 1, 0, 3, 2, 3, 4, 4, 1, 3, 4, 2, 0, 2, 3, 1, 1, 2, 3, 4, 0, 2, 1, 3, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 4, 4, 0, 0, 3, 4, 0, 2, 1, 1, 4, 0, 4, 2, 1, 1, 1, 0, 2, 3, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 4, 2, 3, 4, 0, 1, 0, 4, 2, 2, 4, 2, 0, 1, 3, 4, 3, 1, 1, 4, 1, 0, 3, 0, 1, 0, 1, 4, 2, 0, 2, 0, 2, 2, 2, 0, 4, 3, 0, 2, 4, 2, 0, 4, 1, 3, 0, 2, 2, 0, 2, 2, 3, 4, 3, 1, 4, 3, 2, 2, 4, 2, 4, 4, 2, 0, 2, 1, 2, 3, 3, 2, 0, 2, 4, 3, 3]
pubkeycol970 = [1, 2, 1, 3, 2, 4, 3, 0, 3, 4, 1, 0, 0, 0, 0, 2, 3, 4, 1, 2, 3, 3, 2, 0, 1, 4, 4, 4, 1, 0, 3, 4, 1, 0, 2, 2, 3, 0, 4, 1, 2, 4, 2, 4, 2, 4, 1, 2, 3, 0, 0, 3, 2, 4, 0, 0, 3, 0, 3, 3, 3, 2, 1, 1, 1, 4, 0, 1, 2, 2, 4, 3, 0, 1, 2, 1, 0, 4, 0, 4, 3, 1, 4, 2, 4, 3, 2, 1, 0, 3, 0, 2, 1, 4, 3, 2, 4, 2, 0, 4, 0, 0, 4, 0, 4, 2, 1, 1, 1, 0, 3, 1, 4, 3, 4, 0, 1, 2, 0, 2, 2, 4, 3, 3, 0, 0, 2, 3, 2, 3, 0, 4, 1, 0, 3, 3, 4, 2, 3, 2, 2, 0, 4, 2, 3, 4, 2, 1, 4, 3, 4, 0, 2, 3, 4, 1, 1, 4, 4, 0, 2, 4, 2, 2, 3, 0, 0, 2, 1, 2, 3, 3, 2, 4, 2, 1, 2, 4, 2, 3, 4, 4, 1, 4, 4, 1, 0, 0, 1, 3, 1, 2, 0, 0, 0, 0, 2, 0, 4, 3, 3, 1, 4, 1, 2, 0, 4, 4, 1, 0, 0, 3, 4, 0, 0, 4, 4, 1, 4, 3, 2, 0, 1, 1, 0, 4, 1, 2, 2, 3, 2, 4, 0, 3, 4, 4, 3, 4, 1, 0, 3, 0, 4, 0, 3, 3, 1, 4, 4, 3, 3, 4, 2, 4, 0, 0, 4, 4, 2, 4, 0, 2, 0, 3, 4, 3, 4, 3, 4, 1, 4, 1, 2, 2, 0, 2, 1, 0, 2, 4, 2, 0, 4, 0, 0, 1, 4, 2, 0, 2, 0, 1, 2, 2, 3, 1, 4, 2, 3, 0, 2, 4, 1, 2, 1, 3, 2, 0, 1, 2, 2, 2, 1, 1, 4, 0, 3, 4, 1, 4]
pubkeycol971 = [2, 3, 4, 4, 0, 0, 1, 2, 1, 3, 3, 3, 0, 3, 0, 1, 2, 0, 1, 1, 2, 2, 3, 1, 4, 1, 3, 3, 2, 2, 4, 3, 0, 4, 0, 2, 4, 4, 2, 1, 1, 0, 1, 0, 1, 2, 4, 3, 4, 2, 1, 3, 0, 4, 1, 3, 2, 2, 2, 2, 3, 3, 2, 1, 4, 4, 3, 1, 4, 3, 4, 3, 0, 0, 3, 2, 3, 3, 2, 4, 0, 3, 1, 4, 3, 2, 4, 3, 1, 3, 3, 1, 1, 4, 3, 0, 1, 0, 4, 4, 1, 2, 4, 2, 4, 0, 2, 1, 2, 2, 1, 3, 1, 3, 3, 3, 3, 0, 4, 2, 1, 3, 4, 1, 0, 2, 3, 4, 1, 1, 3, 3, 2, 3, 1, 0, 4, 2, 4, 1, 3, 4, 4, 2, 3, 1, 3, 4, 1, 3, 1, 0, 2, 0, 4, 2, 1, 2, 2, 3, 2, 4, 4, 2, 3, 4, 1, 1, 1, 4, 2, 1, 4, 3, 2, 0, 1, 0, 3, 2, 2, 2, 3, 4, 4, 4, 1, 3, 4, 3, 0, 0, 4, 4, 3, 0, 2, 0, 4, 3, 2, 1, 1, 0, 4, 0, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 2, 4, 0, 3, 4, 4, 0, 3, 2, 4, 4, 1, 2, 1, 0, 3, 0, 0, 2, 2, 2, 2, 3, 0, 4, 4, 3, 4, 4, 1, 3, 0, 4, 4, 3, 1, 1, 4, 1, 2, 1, 3, 0, 1, 3, 2, 1, 0, 2, 4, 4, 2, 4, 3, 4, 0, 3, 1, 2, 1, 3, 4, 0, 2, 2, 0, 1, 3, 1, 3, 3, 3, 0, 0, 0, 4, 1, 1, 1, 0, 4, 1, 2, 4, 2, 3, 3, 2, 3, 4, 1, 3, 0, 1, 1, 1, 2, 2, 2, 0, 3]
pubkeycol972 = [0, 2, 1, 0, 2, 2, 2, 3, 0, 1, 4, 2, 2, 4, 3, 1, 1, 0, 3, 3, 1, 2, 3, 4, 1, 3, 2, 2, 1, 3, 0, 2, 4, 0, 3, 1, 2, 3, 0, 1, 3, 3, 1, 4, 3, 2, 1, 2, 4, 4, 4, 2, 0, 4, 2, 0, 2, 2, 1, 4, 4, 3, 1, 1, 1, 0, 1, 4, 3, 3, 4, 1, 0, 3, 3, 2, 3, 3, 4, 2, 3, 0, 1, 0, 3, 2, 0, 4, 4, 1, 3, 4, 2, 0, 1, 0, 2, 4, 4, 3, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 4, 3, 4, 3, 0, 1, 3, 1, 3, 0, 1, 1, 1, 4, 4, 4, 2, 4, 3, 4, 0, 1, 1, 2, 3, 1, 3, 0, 4, 3, 3, 2, 1, 0, 2, 4, 0, 1, 0, 2, 0, 2, 3, 4, 0, 3, 1, 4, 0, 4, 0, 1, 2, 1, 2, 1, 1, 4, 4, 1, 3, 4, 0, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 4, 0, 1, 1, 4, 1, 0, 3, 4, 4, 0, 0, 2, 3, 4, 4, 2, 0, 0, 0, 1, 2, 1, 3, 0, 0, 1, 3, 1, 4, 0, 0, 1, 2, 1, 3, 2, 1, 3, 3, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 3, 1, 0, 1, 0, 0, 3, 0, 4, 3, 4, 3, 1, 3, 3, 3, 3, 3, 2, 0, 3, 4, 2, 4, 4, 0, 4, 2, 0, 4, 4, 0, 2, 1, 0, 2, 2, 1, 2, 4, 0, 3, 0, 4, 2, 2, 2, 2, 3, 4, 4, 2, 1, 2, 3, 0, 4, 2, 2, 4, 4, 4, 3, 1, 0, 0, 1, 0, 3]
pubkeycol973 = [2, 1, 0, 1, 1, 1, 4, 1, 1, 3, 1, 0, 1, 0, 3, 4, 1, 1, 3, 4, 1, 1, 2, 1, 1, 1, 2, 3, 4, 1, 4, 4, 0, 1, 3, 2, 3, 0, 1, 4, 2, 0, 4, 3, 1, 2, 3, 1, 0, 4, 0, 2, 1, 3, 4, 1, 4, 3, 3, 1, 1, 1, 1, 2, 0, 2, 0, 0, 4, 1, 1, 0, 3, 4, 4, 2, 2, 3, 2, 2, 3, 3, 2, 4, 1, 0, 2, 0, 3, 2, 4, 3, 0, 0, 1, 4, 0, 2, 4, 1, 0, 4, 3, 2, 4, 3, 4, 0, 0, 3, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 3, 1, 3, 0, 2, 3, 0, 3, 2, 1, 4, 4, 3, 0, 4, 0, 3, 2, 2, 0, 4, 4, 2, 0, 1, 0, 3, 4, 0, 2, 0, 3, 4, 0, 4, 0, 1, 3, 4, 1, 1, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 1, 4, 3, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 4, 3, 2, 4, 4, 3, 1, 3, 1, 2, 4, 4, 0, 2, 4, 0, 0, 2, 3, 3, 4, 2, 4, 3, 4, 2, 0, 0, 2, 2, 3, 3, 1, 0, 4, 3, 1, 1, 3, 1, 4, 2, 2, 3, 0, 1, 4, 1, 1, 2, 0, 0, 3, 2, 1, 1, 3, 1, 3, 4, 0, 0, 4, 0, 2, 0, 3, 2, 2, 1, 1, 0, 2, 2, 3, 1, 1, 3, 2, 1, 2, 2, 4, 2, 2, 3, 0, 0, 4, 3, 0, 1, 4, 0, 1, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 4, 4, 3, 1, 4, 1, 0, 4, 4, 0, 2, 3, 0, 3, 2, 2, 3, 4, 2, 2, 1, 1, 0, 3, 4, 0, 2, 4, 4]
pubkeycol974 = [4, 4, 4, 3, 3, 1, 3, 2, 0, 1, 3, 2, 0, 0, 0, 2, 0, 1, 0, 2, 4, 0, 4, 0, 4, 0, 3, 3, 0, 4, 1, 4, 2, 1, 4, 4, 1, 3, 3, 3, 1, 1, 3, 2, 1, 3, 4, 3, 4, 3, 4, 0, 3, 1, 2, 0, 2, 3, 3, 2, 3, 0, 2, 1, 3, 4, 3, 2, 2, 4, 0, 3, 2, 0, 4, 1, 0, 0, 2, 3, 4, 0, 4, 3, 3, 2, 2, 3, 3, 2, 4, 4, 4, 3, 1, 0, 4, 4, 4, 3, 0, 3, 1, 3, 3, 3, 4, 4, 0, 2, 4, 0, 3, 1, 1, 3, 4, 1, 2, 4, 0, 0, 0, 4, 0, 0, 2, 1, 1, 0, 0, 3, 3, 4, 1, 1, 2, 0, 3, 3, 3, 0, 2, 1, 4, 0, 1, 2, 1, 1, 4, 4, 0, 1, 4, 1, 3, 3, 3, 0, 2, 3, 0, 0, 3, 3, 4, 0, 3, 4, 2, 0, 3, 1, 3, 4, 3, 1, 3, 3, 1, 0, 4, 4, 2, 3, 1, 1, 0, 1, 2, 3, 4, 3, 2, 2, 1, 3, 3, 0, 1, 3, 0, 3, 0, 3, 0, 2, 4, 3, 2, 0, 3, 2, 3, 2, 2, 3, 1, 4, 4, 2, 3, 2, 4, 4, 1, 3, 3, 3, 2, 4, 2, 0, 3, 4, 0, 0, 3, 4, 1, 1, 4, 3, 0, 3, 4, 0, 1, 4, 3, 2, 0, 1, 3, 1, 1, 4, 2, 1, 2, 2, 4, 3, 3, 4, 2, 3, 2, 3, 0, 0, 3, 4, 1, 2, 1, 4, 2, 4, 0, 2, 0, 3, 4, 0, 3, 2, 2, 1, 0, 2, 2, 0, 4, 1, 2, 4, 0, 4, 1, 0, 1, 4, 3, 2, 2, 0, 0, 3, 0, 4, 2, 1, 4, 0, 0, 1, 3, 4]
pubkeycol975 = [4, 0, 4, 1, 2, 1, 3, 1, 0, 2, 0, 0, 3, 3, 0, 0, 0, 2, 3, 0, 1, 2, 1, 3, 2, 0, 2, 3, 3, 1, 0, 0, 0, 1, 2, 1, 3, 2, 1, 0, 0, 0, 3, 2, 4, 2, 1, 4, 1, 3, 4, 2, 4, 0, 4, 0, 2, 0, 2, 3, 2, 1, 3, 0, 4, 3, 3, 3, 2, 4, 4, 0, 2, 3, 2, 3, 4, 1, 1, 1, 0, 4, 4, 0, 3, 3, 3, 1, 0, 2, 3, 0, 2, 1, 1, 4, 2, 2, 0, 3, 4, 3, 4, 1, 3, 2, 1, 3, 0, 0, 3, 1, 4, 0, 4, 3, 2, 1, 1, 1, 1, 1, 2, 4, 3, 2, 3, 3, 1, 2, 1, 4, 4, 1, 0, 1, 4, 1, 4, 2, 2, 3, 2, 4, 4, 3, 0, 4, 4, 4, 1, 3, 0, 2, 2, 1, 0, 4, 0, 4, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 4, 1, 2, 0, 1, 4, 0, 1, 3, 2, 4, 0, 3, 3, 2, 3, 4, 4, 2, 3, 0, 2, 2, 4, 2, 1, 0, 2, 4, 4, 2, 2, 1, 4, 3, 0, 3, 1, 3, 2, 2, 0, 3, 0, 2, 2, 4, 1, 1, 0, 4, 0, 4, 2, 3, 1, 4, 1, 2, 0, 2, 0, 4, 3, 1, 2, 3, 4, 2, 3, 3, 0, 3, 4, 4, 1, 3, 0, 1, 0, 1, 2, 2, 0, 3, 4, 2, 3, 2, 0, 0, 0, 4, 3, 2, 2, 0, 1, 1, 1, 0, 4, 4, 0, 0, 4, 4, 2, 3, 4, 1, 0, 3, 3, 3, 1, 1, 0, 2, 0, 1, 0, 2, 4, 2, 0, 4, 4, 1, 3, 0, 4, 1, 4, 0, 4, 4, 0, 1, 4, 1, 2, 3, 1, 2, 2, 4, 3]
pubkeycol976 = [4, 4, 2, 2, 3, 4, 3, 1, 4, 2, 4, 2, 2, 4, 1, 2, 3, 1, 0, 1, 2, 3, 4, 0, 0, 0, 0, 0, 4, 1, 2, 3, 4, 0, 0, 2, 1, 2, 4, 4, 2, 0, 3, 2, 2, 0, 3, 1, 1, 3, 2, 0, 2, 1, 4, 1, 2, 3, 1, 1, 2, 0, 2, 2, 4, 0, 0, 4, 1, 2, 3, 2, 2, 3, 2, 4, 1, 1, 1, 4, 0, 3, 1, 1, 0, 2, 3, 3, 4, 4, 4, 3, 1, 1, 4, 3, 1, 0, 3, 3, 4, 3, 4, 0, 0, 0, 1, 2, 2, 0, 0, 2, 3, 2, 0, 2, 4, 0, 0, 1, 4, 4, 2, 2, 3, 0, 1, 3, 1, 1, 2, 2, 2, 2, 4, 4, 3, 2, 3, 1, 1, 4, 3, 3, 1, 2, 3, 2, 4, 1, 4, 1, 1, 3, 1, 0, 3, 2, 3, 4, 1, 3, 1, 1, 2, 1, 0, 0, 0, 3, 1, 4, 3, 1, 2, 0, 4, 4, 0, 1, 3, 2, 1, 4, 2, 2, 2, 1, 3, 2, 3, 3, 4, 2, 1, 1, 0, 4, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 3, 2, 2, 0, 4, 2, 3, 1, 1, 0, 0, 0, 2, 4, 0, 3, 3, 2, 1, 3, 4, 3, 2, 4, 1, 0, 0, 0, 2, 3, 3, 0, 1, 3, 4, 3, 0, 4, 4, 4, 4, 2, 4, 0, 0, 1, 0, 4, 1, 1, 4, 3, 2, 2, 4, 1, 4, 0, 2, 1, 3, 3, 0, 4, 4, 1, 3, 3, 0, 2, 1, 4, 1, 0, 4, 1, 3, 3, 3, 1, 1, 0, 4, 2, 4, 4, 1, 1, 1, 1, 1, 0, 3, 2, 3, 1, 1, 3, 0, 4, 0, 0, 4, 4, 0, 2, 0, 4, 2, 3]
pubkeycol977 = [1, 4, 2, 4, 4, 3, 3, 2, 2, 3, 3, 1, 4, 0, 4, 2, 2, 3, 3, 0, 2, 1, 3, 2, 0, 4, 1, 4, 0, 2, 0, 3, 0, 1, 4, 3, 3, 0, 3, 4, 0, 3, 4, 2, 4, 0, 2, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 1, 2, 0, 3, 2, 2, 1, 4, 3, 2, 2, 0, 2, 4, 2, 1, 2, 4, 2, 0, 2, 1, 3, 4, 1, 1, 4, 1, 0, 0, 1, 3, 4, 4, 3, 0, 1, 2, 2, 3, 0, 4, 1, 4, 1, 3, 1, 0, 2, 1, 3, 4, 3, 4, 4, 3, 0, 0, 4, 4, 3, 0, 4, 1, 1, 0, 3, 2, 3, 2, 2, 1, 0, 1, 3, 3, 3, 1, 3, 3, 3, 0, 0, 1, 1, 0, 0, 3, 4, 2, 1, 2, 3, 4, 1, 0, 0, 2, 0, 3, 1, 2, 3, 1, 2, 4, 3, 2, 3, 4, 4, 3, 1, 2, 0, 4, 0, 4, 1, 4, 0, 0, 0, 2, 0, 0, 4, 0, 1, 3, 4, 1, 1, 4, 0, 1, 0, 4, 4, 0, 0, 0, 4, 1, 2, 0, 4, 4, 4, 3, 3, 4, 0, 2, 3, 4, 1, 2, 4, 1, 3, 1, 0, 2, 4, 3, 0, 2, 2, 4, 0, 0, 0, 2, 4, 4, 4, 0, 4, 2, 3, 0, 0, 4, 1, 3, 0, 0, 4, 2, 1, 3, 1, 3, 4, 3, 1, 3, 1, 2, 0, 1, 3, 2, 2, 0, 1, 3, 0, 1, 2, 0, 0, 2, 2, 0, 1, 3, 1, 1, 0, 2, 2, 2, 0, 2, 2, 3, 2, 4, 3, 2, 2, 0, 2, 4, 0, 2, 1, 4, 3, 1, 3, 3, 4, 0, 1, 2, 4, 3, 2, 1, 3, 4, 4, 0, 3, 4, 3, 2, 1, 1, 3]
pubkeycol978 = [1, 0, 1, 3, 1, 4, 1, 1, 2, 1, 2, 1, 1, 1, 3, 2, 4, 2, 2, 3, 1, 0, 4, 4, 0, 2, 1, 4, 0, 4, 3, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 2, 2, 1, 4, 1, 0, 1, 3, 4, 3, 2, 0, 3, 0, 0, 1, 1, 0, 3, 0, 2, 1, 2, 4, 4, 1, 0, 4, 1, 3, 0, 4, 2, 3, 2, 4, 3, 4, 1, 3, 1, 0, 1, 3, 3, 1, 3, 1, 0, 0, 2, 1, 3, 4, 2, 2, 0, 4, 3, 2, 0, 0, 3, 0, 3, 0, 1, 3, 2, 2, 1, 0, 0, 3, 3, 0, 4, 0, 4, 0, 2, 1, 0, 0, 4, 2, 1, 3, 0, 2, 2, 1, 3, 4, 1, 1, 3, 3, 4, 2, 3, 2, 3, 0, 4, 1, 4, 4, 0, 0, 2, 0, 1, 3, 4, 4, 0, 3, 2, 1, 1, 0, 1, 2, 3, 1, 4, 2, 4, 4, 4, 3, 2, 3, 4, 0, 0, 2, 0, 3, 4, 3, 4, 4, 1, 4, 0, 2, 3, 0, 1, 0, 4, 4, 2, 3, 3, 0, 1, 2, 2, 0, 0, 2, 0, 3, 3, 3, 2, 2, 0, 0, 2, 2, 3, 0, 0, 3, 3, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 4, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 4, 0, 0, 0, 1, 4, 0, 3, 3, 4, 2, 0, 1, 3, 2, 4, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 3, 1, 1, 1, 3, 0, 4, 1, 4, 0, 4, 4, 1, 0, 2, 2, 4, 2, 3, 3, 0, 4, 0, 1, 1, 0, 1, 4, 0, 3, 3, 4, 0, 4, 2, 1, 4, 1, 3, 4, 1, 4, 1, 1, 2, 0, 1, 2, 0]
pubkeycol979 = [4, 1, 2, 0, 2, 3, 0, 0, 4, 0, 1, 4, 2, 2, 0, 3, 2, 3, 3, 2, 4, 4, 3, 1, 3, 3, 3, 2, 1, 0, 3, 3, 4, 2, 1, 4, 0, 3, 3, 2, 3, 3, 3, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 3, 4, 4, 0, 1, 3, 4, 0, 0, 2, 0, 2, 4, 1, 2, 3, 1, 4, 4, 1, 1, 4, 4, 1, 3, 4, 4, 2, 4, 2, 2, 0, 1, 4, 0, 2, 3, 0, 1, 3, 2, 1, 0, 3, 0, 2, 3, 1, 1, 3, 1, 1, 1, 3, 2, 3, 3, 4, 4, 1, 1, 4, 4, 1, 4, 2, 2, 2, 4, 0, 2, 4, 0, 1, 4, 2, 1, 2, 2, 1, 3, 1, 2, 2, 3, 1, 0, 1, 0, 2, 3, 0, 1, 4, 0, 4, 2, 4, 0, 3, 3, 1, 2, 4, 1, 0, 1, 4, 0, 3, 0, 3, 3, 0, 4, 0, 3, 3, 2, 2, 4, 4, 1, 3, 4, 2, 2, 2, 1, 0, 3, 4, 4, 1, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 4, 0, 3, 1, 4, 3, 2, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 4, 3, 0, 4, 2, 1, 4, 4, 0, 3, 1, 0, 0, 0, 1, 0, 4, 0, 0, 4, 4, 3, 3, 2, 1, 1, 4, 1, 1, 1, 1, 1, 4, 4, 0, 4, 3, 3, 3, 2, 3, 3, 2, 3, 0, 3, 2, 1, 0, 4, 3, 1, 3, 3, 4, 3, 3, 1, 3, 4, 2, 4, 0, 1, 4, 4, 4, 4, 0, 4, 0, 3, 2, 2, 3, 4, 4, 1, 0, 3, 1, 1, 1, 1, 0, 2, 2, 4, 3, 0, 2, 3, 0, 0, 1, 4, 2, 1, 3, 0, 2, 1]
pubkeycol980 = [1, 0, 4, 2, 3, 0, 1, 3, 4, 2, 2, 1, 1, 0, 3, 0, 2, 1, 0, 4, 3, 0, 0, 0, 4, 1, 3, 2, 3, 4, 0, 2, 2, 2, 3, 2, 2, 3, 1, 4, 3, 3, 4, 4, 2, 2, 4, 2, 0, 3, 3, 4, 2, 4, 0, 2, 2, 0, 1, 1, 4, 2, 4, 2, 1, 0, 0, 4, 2, 2, 2, 2, 4, 2, 1, 0, 2, 1, 1, 0, 0, 3, 3, 2, 3, 2, 0, 4, 2, 2, 1, 4, 0, 0, 3, 0, 0, 0, 4, 3, 3, 2, 0, 4, 0, 1, 0, 3, 4, 2, 3, 2, 2, 1, 3, 0, 3, 2, 3, 1, 2, 2, 4, 1, 1, 4, 2, 4, 3, 3, 1, 4, 1, 1, 3, 1, 2, 0, 2, 0, 0, 3, 1, 2, 2, 3, 4, 2, 2, 2, 2, 3, 2, 4, 4, 2, 1, 4, 3, 4, 1, 2, 1, 0, 0, 3, 0, 0, 4, 3, 3, 0, 1, 0, 3, 2, 0, 0, 0, 4, 1, 2, 3, 4, 2, 1, 1, 1, 2, 0, 4, 2, 2, 1, 2, 0, 2, 1, 1, 2, 3, 3, 0, 4, 4, 3, 3, 0, 4, 0, 3, 0, 0, 2, 3, 4, 1, 0, 3, 4, 2, 2, 3, 4, 0, 0, 0, 3, 4, 3, 4, 0, 1, 2, 0, 3, 2, 1, 3, 2, 1, 4, 1, 3, 0, 3, 3, 1, 3, 1, 1, 1, 1, 0, 0, 1, 4, 2, 0, 3, 4, 1, 3, 4, 3, 2, 1, 3, 1, 2, 3, 3, 4, 0, 0, 0, 4, 1, 4, 2, 0, 3, 2, 3, 1, 3, 1, 3, 0, 2, 2, 3, 2, 1, 2, 3, 4, 4, 2, 2, 3, 4, 3, 3, 2, 3, 4, 1, 2, 1, 0, 1, 4, 4, 2, 3, 1, 3, 1, 4]
pubkeycol981 = [1, 0, 2, 3, 0, 2, 3, 2, 0, 1, 3, 3, 3, 0, 1, 0, 0, 3, 4, 3, 0, 2, 0, 2, 3, 0, 2, 1, 1, 3, 4, 1, 1, 3, 4, 3, 1, 3, 2, 2, 4, 0, 4, 2, 1, 1, 1, 1, 2, 0, 2, 4, 3, 4, 4, 4, 1, 1, 3, 4, 3, 0, 4, 1, 0, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 3, 0, 1, 1, 1, 1, 4, 3, 2, 0, 1, 4, 3, 0, 3, 2, 4, 3, 1, 0, 3, 0, 3, 0, 0, 3, 2, 2, 1, 0, 3, 1, 1, 2, 0, 4, 4, 4, 1, 4, 1, 1, 0, 1, 1, 4, 2, 2, 4, 3, 0, 1, 3, 4, 0, 0, 2, 3, 4, 4, 3, 2, 0, 3, 0, 3, 3, 3, 4, 0, 2, 2, 1, 0, 2, 2, 3, 2, 2, 4, 1, 1, 0, 3, 1, 4, 1, 4, 4, 0, 3, 0, 0, 2, 1, 3, 0, 4, 1, 3, 1, 3, 1, 4, 1, 3, 3, 1, 2, 2, 0, 1, 3, 0, 0, 4, 0, 4, 0, 2, 3, 1, 0, 3, 2, 1, 3, 1, 3, 0, 3, 1, 0, 0, 3, 4, 3, 2, 0, 2, 3, 1, 3, 3, 0, 1, 3, 1, 0, 3, 3, 1, 0, 4, 0, 2, 4, 1, 3, 2, 2, 1, 3, 2, 1, 0, 3, 4, 0, 0, 0, 2, 4, 3, 0, 0, 4, 3, 3, 4, 2, 0, 1, 3, 2, 1, 0, 3, 0, 3, 1, 2, 3, 4, 3, 2, 1, 0, 4, 2, 0, 4, 1, 2, 0, 1, 1, 1, 4, 0, 2, 1, 2, 1, 1, 2, 0, 0, 4, 2, 4, 0, 2, 4, 4, 1, 4, 3, 0, 0, 1, 4, 0, 1, 3, 3, 3, 2, 2, 2, 2, 1, 2, 1, 0]
pubkeycol982 = [0, 4, 1, 3, 0, 1, 3, 2, 4, 0, 4, 3, 0, 0, 1, 1, 0, 4, 1, 4, 4, 1, 0, 3, 1, 3, 0, 0, 4, 4, 3, 3, 3, 4, 1, 3, 3, 4, 0, 1, 4, 4, 3, 2, 0, 4, 2, 3, 4, 0, 4, 0, 2, 1, 0, 1, 0, 3, 4, 1, 1, 3, 3, 1, 4, 1, 3, 4, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 4, 1, 1, 2, 3, 3, 1, 2, 1, 2, 0, 1, 3, 0, 1, 1, 2, 2, 4, 0, 1, 2, 4, 0, 0, 0, 1, 4, 0, 4, 1, 3, 2, 3, 4, 0, 0, 4, 3, 2, 2, 0, 3, 4, 3, 0, 2, 0, 2, 1, 1, 3, 1, 0, 2, 0, 2, 0, 3, 3, 3, 4, 0, 4, 0, 2, 3, 1, 4, 0, 1, 4, 2, 1, 4, 1, 4, 1, 4, 3, 2, 4, 0, 2, 4, 2, 1, 0, 1, 1, 4, 4, 4, 0, 0, 2, 0, 0, 3, 2, 4, 3, 2, 3, 2, 2, 1, 3, 1, 2, 0, 2, 1, 2, 4, 0, 2, 1, 1, 1, 1, 0, 2, 4, 3, 1, 2, 4, 3, 3, 1, 0, 1, 2, 1, 4, 0, 4, 3, 4, 0, 1, 4, 3, 2, 2, 0, 0, 1, 0, 3, 0, 3, 4, 2, 0, 2, 1, 0, 1, 0, 3, 3, 4, 4, 4, 3, 0, 3, 1, 0, 3, 0, 3, 3, 4, 1, 2, 2, 2, 4, 1, 0, 4, 3, 2, 1, 4, 2, 3, 4, 3, 4, 1, 2, 4, 4, 2, 4, 3, 0, 1, 4, 1, 2, 3, 0, 2, 2, 0, 0, 3, 0, 4, 3, 2, 4, 1, 4, 4, 2, 0, 4, 2, 2, 1, 2, 1, 3, 0, 0, 2, 1, 3, 3, 2, 4, 0, 3]
pubkeycol983 = [3, 1, 1, 1, 3, 1, 2, 0, 3, 1, 0, 1, 3, 4, 4, 0, 2, 1, 2, 4, 2, 3, 4, 1, 1, 1, 2, 3, 3, 2, 4, 1, 1, 2, 4, 4, 3, 0, 3, 4, 3, 2, 3, 1, 4, 1, 2, 4, 4, 4, 3, 1, 3, 4, 3, 1, 0, 0, 4, 2, 3, 4, 4, 4, 3, 2, 4, 0, 3, 1, 4, 4, 4, 4, 3, 0, 1, 4, 2, 4, 0, 0, 4, 4, 4, 1, 2, 1, 2, 1, 4, 1, 2, 2, 1, 1, 4, 1, 0, 0, 3, 3, 1, 1, 4, 3, 4, 2, 2, 0, 0, 2, 4, 0, 2, 3, 0, 4, 0, 2, 1, 4, 1, 4, 1, 4, 3, 2, 4, 2, 3, 4, 0, 3, 0, 2, 1, 4, 3, 3, 4, 3, 3, 3, 3, 4, 2, 0, 4, 0, 1, 1, 2, 3, 1, 1, 1, 0, 3, 4, 3, 4, 0, 4, 1, 4, 4, 4, 0, 1, 2, 4, 0, 4, 2, 3, 2, 2, 4, 0, 2, 0, 0, 1, 2, 4, 2, 4, 0, 4, 4, 3, 3, 3, 4, 3, 2, 4, 4, 1, 2, 4, 1, 3, 1, 3, 3, 1, 0, 3, 4, 4, 3, 3, 1, 1, 4, 4, 3, 3, 0, 0, 3, 3, 3, 4, 1, 3, 3, 2, 3, 3, 2, 2, 4, 3, 4, 4, 0, 0, 4, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 3, 1, 0, 1, 0, 2, 2, 2, 2, 4, 1, 0, 4, 3, 1, 1, 3, 4, 3, 0, 1, 3, 4, 4, 4, 2, 2, 0, 4, 4, 4, 1, 3, 4, 1, 0, 0, 2, 2, 4, 3, 0, 4, 0, 0, 1, 3, 2, 3, 1, 4, 0, 3, 3, 1, 0, 4, 0, 2, 4]
pubkeycol984 = [0, 1, 1, 0, 4, 3, 2, 0, 4, 2, 2, 3, 4, 0, 0, 1, 3, 0, 2, 4, 4, 4, 0, 1, 1, 0, 4, 1, 1, 4, 2, 3, 2, 2, 2, 4, 0, 3, 3, 2, 2, 4, 4, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 4, 4, 3, 2, 3, 2, 2, 1, 0, 2, 4, 1, 3, 3, 0, 3, 1, 4, 0, 1, 2, 2, 0, 1, 3, 1, 3, 2, 3, 0, 2, 1, 4, 3, 0, 3, 1, 0, 3, 4, 3, 0, 3, 2, 4, 3, 0, 4, 3, 2, 0, 1, 1, 2, 3, 0, 2, 0, 0, 3, 2, 2, 4, 3, 0, 4, 4, 2, 3, 0, 0, 2, 1, 1, 3, 2, 0, 3, 2, 0, 4, 0, 0, 2, 1, 3, 3, 1, 4, 4, 3, 0, 2, 2, 4, 2, 3, 1, 0, 3, 4, 0, 3, 1, 3, 0, 2, 2, 4, 1, 3, 0, 1, 0, 4, 3, 3, 2, 2, 3, 1, 0, 1, 0, 4, 0, 1, 4, 0, 4, 4, 3, 3, 4, 3, 3, 1, 1, 4, 2, 3, 2, 3, 4, 4, 4, 1, 2, 0, 3, 0, 0, 2, 0, 1, 4, 4, 2, 4, 2, 1, 0, 1, 0, 2, 1, 3, 4, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 3, 0, 2, 4, 3, 4, 0, 0, 0, 3, 2, 3, 2, 3, 2, 3, 1, 4, 1, 4, 2, 0, 1, 0, 4, 4, 1, 2, 3, 1, 1, 0, 4, 3, 0, 0, 0, 1, 4, 4, 4, 0, 2, 0, 1, 2, 1, 2, 0, 4, 3, 0, 3, 4, 0, 2, 3, 3, 1, 0, 0, 0, 2, 4, 1, 2, 1, 1, 4, 2, 2, 4, 0, 2, 4, 4, 0, 1, 0, 4]
pubkeycol985 = [1, 1, 3, 3, 3, 2, 2, 0, 4, 0, 1, 3, 3, 3, 0, 1, 3, 3, 4, 0, 2, 0, 2, 1, 0, 0, 4, 0, 2, 3, 2, 4, 4, 0, 3, 4, 0, 2, 4, 4, 1, 0, 2, 4, 4, 2, 0, 4, 1, 4, 2, 4, 3, 3, 4, 1, 2, 0, 1, 2, 3, 0, 3, 4, 0, 4, 1, 0, 3, 1, 2, 3, 1, 0, 0, 2, 3, 2, 2, 2, 2, 0, 0, 4, 0, 0, 4, 0, 0, 3, 1, 0, 4, 2, 3, 2, 0, 1, 4, 0, 2, 2, 4, 2, 4, 2, 4, 2, 2, 1, 0, 4, 2, 1, 4, 1, 4, 4, 2, 2, 2, 4, 1, 3, 3, 2, 3, 3, 4, 2, 1, 2, 4, 1, 2, 4, 0, 3, 1, 0, 4, 2, 3, 4, 3, 4, 1, 0, 0, 4, 0, 3, 1, 4, 3, 4, 2, 4, 0, 3, 3, 4, 1, 1, 1, 3, 1, 3, 4, 3, 1, 2, 3, 3, 4, 1, 4, 3, 3, 4, 2, 0, 0, 0, 1, 4, 1, 4, 3, 2, 1, 1, 0, 4, 4, 4, 4, 3, 3, 4, 2, 0, 4, 3, 0, 1, 3, 2, 1, 4, 3, 1, 4, 1, 2, 1, 4, 4, 0, 1, 3, 2, 3, 4, 4, 4, 0, 4, 4, 3, 0, 3, 4, 1, 2, 4, 1, 2, 1, 4, 1, 4, 3, 2, 1, 0, 0, 4, 0, 4, 3, 1, 0, 1, 3, 2, 1, 0, 4, 4, 2, 3, 1, 1, 4, 3, 4, 2, 1, 3, 3, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 3, 2, 0, 1, 3, 0, 2, 0, 0, 2, 3, 2, 1, 2, 0, 4, 4, 3, 1, 4, 1, 1, 1, 4, 1, 1, 2, 4, 3, 2, 0, 3, 4, 0, 1, 4, 4, 0]
pubkeycol986 = [4, 2, 2, 0, 4, 1, 4, 0, 2, 0, 4, 2, 1, 0, 3, 3, 0, 0, 1, 2, 4, 1, 4, 4, 2, 2, 0, 2, 2, 3, 2, 3, 1, 1, 1, 3, 2, 0, 4, 2, 2, 0, 1, 0, 0, 0, 0, 4, 1, 3, 0, 4, 3, 1, 2, 4, 1, 3, 2, 4, 3, 3, 3, 2, 4, 0, 1, 0, 4, 0, 3, 2, 4, 1, 0, 2, 0, 4, 1, 0, 3, 2, 2, 3, 3, 3, 4, 3, 0, 2, 3, 2, 4, 4, 4, 4, 1, 2, 3, 0, 1, 1, 4, 0, 1, 2, 4, 3, 1, 0, 4, 2, 4, 4, 0, 0, 3, 2, 3, 3, 4, 1, 4, 2, 4, 1, 1, 3, 2, 3, 0, 1, 4, 2, 3, 3, 1, 4, 1, 3, 1, 1, 4, 4, 1, 1, 1, 0, 3, 4, 4, 0, 1, 3, 2, 2, 2, 2, 4, 3, 3, 0, 0, 3, 2, 0, 2, 2, 4, 3, 0, 2, 4, 0, 1, 2, 1, 3, 4, 0, 4, 0, 3, 3, 1, 2, 3, 2, 1, 2, 4, 1, 0, 4, 2, 4, 1, 0, 1, 1, 2, 3, 0, 3, 3, 2, 4, 4, 1, 1, 2, 1, 0, 0, 1, 1, 3, 1, 4, 0, 0, 4, 3, 0, 0, 2, 1, 2, 3, 1, 4, 0, 3, 1, 2, 2, 0, 1, 0, 3, 3, 1, 4, 1, 2, 4, 0, 3, 0, 0, 0, 2, 2, 2, 4, 4, 1, 2, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 0, 0, 2, 3, 2, 1, 4, 3, 0, 4, 3, 3, 0, 0, 3, 3, 2, 1, 4, 0, 4, 3, 2, 4, 4, 2, 4, 4, 0, 4, 3, 3, 4, 4, 3, 3, 3, 2, 2, 4, 4, 1, 0, 3, 1, 3, 2, 1]
pubkeycol987 = [4, 0, 1, 3, 0, 1, 1, 0, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 0, 0, 3, 0, 1, 4, 2, 3, 4, 4, 3, 4, 0, 3, 3, 3, 0, 0, 4, 3, 0, 2, 4, 2, 4, 3, 3, 3, 1, 4, 4, 4, 3, 4, 0, 1, 0, 3, 0, 4, 0, 0, 4, 3, 3, 2, 4, 0, 1, 0, 4, 3, 4, 2, 4, 4, 1, 1, 4, 0, 3, 0, 0, 0, 1, 1, 2, 3, 2, 0, 3, 0, 2, 3, 1, 3, 0, 2, 3, 0, 4, 0, 3, 2, 3, 0, 2, 0, 0, 1, 0, 0, 4, 0, 1, 4, 0, 4, 3, 3, 0, 2, 2, 3, 0, 4, 0, 1, 0, 1, 4, 0, 0, 2, 3, 2, 2, 2, 0, 0, 3, 0, 3, 1, 4, 0, 1, 0, 0, 4, 3, 3, 2, 3, 0, 3, 3, 0, 3, 4, 4, 2, 1, 4, 2, 3, 3, 0, 4, 0, 0, 1, 1, 2, 2, 3, 4, 3, 0, 1, 2, 2, 2, 0, 1, 3, 0, 2, 2, 2, 0, 0, 1, 4, 2, 1, 4, 0, 4, 2, 0, 3, 3, 2, 0, 0, 1, 3, 0, 0, 3, 0, 4, 1, 2, 3, 0, 1, 4, 4, 4, 3, 4, 3, 3, 3, 4, 2, 1, 4, 2, 2, 1, 1, 4, 4, 1, 2, 3, 0, 1, 1, 1, 1, 0, 2, 4, 1, 2, 2, 2, 1, 1, 1, 4, 2, 3, 3, 4, 0, 3, 2, 1, 0, 1, 0, 2, 2, 4, 0, 4, 1, 3, 2, 3, 2, 0, 4, 3, 0, 0, 0, 4, 4, 1, 3, 3, 3, 0, 3, 2, 0, 1, 1, 1, 2, 2, 4, 4, 3, 0, 0, 0, 3, 2, 1, 4, 2, 3, 3, 1, 0, 4, 2, 4, 1, 1, 3, 1, 4, 3]
pubkeycol988 = [2, 1, 0, 1, 3, 4, 0, 2, 3, 4, 3, 1, 0, 4, 4, 0, 2, 4, 2, 1, 1, 3, 1, 1, 4, 3, 4, 1, 1, 4, 2, 0, 2, 1, 0, 2, 1, 4, 0, 0, 2, 1, 1, 3, 3, 0, 0, 1, 0, 4, 3, 1, 3, 0, 3, 1, 0, 3, 0, 0, 0, 2, 4, 0, 1, 0, 0, 3, 0, 1, 1, 2, 2, 1, 4, 3, 0, 4, 1, 1, 2, 0, 3, 0, 4, 3, 1, 0, 0, 1, 3, 0, 2, 1, 4, 0, 3, 3, 2, 4, 1, 3, 3, 3, 0, 2, 0, 3, 3, 1, 3, 0, 1, 0, 0, 1, 3, 0, 3, 2, 1, 2, 1, 2, 1, 2, 4, 2, 1, 3, 2, 3, 3, 2, 1, 2, 4, 1, 1, 2, 3, 0, 1, 1, 1, 0, 4, 0, 2, 4, 2, 0, 3, 0, 3, 1, 1, 2, 4, 4, 4, 3, 1, 3, 3, 3, 4, 1, 3, 4, 3, 0, 2, 4, 1, 3, 2, 1, 4, 0, 0, 4, 4, 2, 1, 0, 0, 2, 4, 3, 2, 0, 3, 4, 2, 4, 1, 0, 4, 1, 4, 4, 1, 3, 2, 3, 4, 0, 2, 0, 4, 3, 2, 3, 1, 0, 4, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 2, 4, 0, 2, 1, 1, 2, 2, 0, 3, 1, 0, 3, 2, 1, 2, 1, 1, 4, 1, 0, 3, 1, 0, 0, 3, 2, 0, 3, 1, 3, 2, 1, 3, 0, 4, 0, 4, 0, 3, 0, 1, 1, 3, 3, 3, 4, 3, 4, 0, 2, 3, 1, 4, 2, 0, 1, 0, 0, 4, 0, 2, 4, 4, 1, 0, 1, 1, 0, 0, 3, 0, 0, 1, 1, 0, 3, 3, 0, 3, 3, 1, 1, 0, 1, 4, 1, 3, 2]
pubkeycol989 = [4, 2, 2, 3, 4, 4, 4, 1, 2, 2, 2, 1, 0, 0, 3, 0, 0, 1, 3, 4, 4, 2, 1, 0, 0, 0, 1, 4, 0, 3, 3, 1, 3, 2, 3, 1, 4, 0, 0, 4, 3, 0, 0, 1, 0, 1, 1, 4, 1, 0, 0, 1, 0, 3, 0, 1, 1, 4, 1, 3, 2, 1, 4, 0, 0, 3, 4, 3, 4, 0, 1, 3, 2, 2, 0, 3, 4, 3, 3, 3, 4, 1, 0, 4, 2, 2, 1, 1, 0, 3, 0, 2, 3, 4, 3, 2, 3, 2, 2, 3, 2, 3, 0, 2, 3, 3, 0, 2, 3, 2, 2, 0, 4, 3, 4, 3, 0, 4, 1, 3, 2, 1, 2, 0, 1, 1, 0, 2, 3, 3, 0, 0, 3, 3, 3, 4, 4, 1, 3, 2, 1, 0, 1, 0, 4, 4, 4, 1, 2, 4, 4, 3, 4, 2, 2, 4, 4, 1, 4, 3, 0, 1, 0, 3, 3, 3, 0, 3, 4, 2, 2, 3, 3, 1, 4, 0, 2, 0, 0, 3, 4, 0, 0, 3, 3, 1, 3, 3, 3, 4, 1, 4, 3, 4, 4, 3, 1, 0, 4, 2, 4, 3, 4, 0, 1, 4, 4, 0, 4, 3, 4, 3, 2, 0, 3, 1, 2, 1, 4, 3, 0, 2, 4, 3, 3, 4, 1, 2, 0, 0, 1, 0, 4, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 4, 0, 1, 3, 4, 0, 2, 0, 2, 3, 4, 2, 2, 4, 3, 1, 3, 1, 2, 2, 3, 3, 2, 0, 0, 2, 4, 0, 0, 2, 3, 3, 2, 2, 2, 4, 2, 3, 4, 2, 0, 2, 1, 3, 2, 0, 3, 2, 1, 1, 1, 2, 3, 3, 1, 4, 3, 2, 4, 0, 4, 2, 3, 0, 3, 4, 4, 4, 2, 2, 1, 2, 3]
pubkeycol990 = [4, 3, 1, 0, 3, 4, 4, 4, 0, 1, 1, 2, 1, 2, 2, 0, 3, 0, 4, 3, 1, 1, 1, 0, 4, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 3, 2, 3, 1, 3, 1, 2, 0, 4, 2, 2, 3, 2, 1, 0, 1, 1, 3, 4, 3, 0, 4, 2, 0, 4, 4, 3, 2, 3, 0, 0, 3, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 4, 3, 1, 2, 0, 3, 1, 0, 3, 4, 3, 1, 1, 4, 0, 1, 3, 4, 2, 0, 3, 3, 2, 4, 1, 3, 2, 0, 3, 3, 0, 4, 3, 1, 2, 3, 1, 1, 4, 0, 2, 3, 4, 0, 1, 4, 3, 1, 0, 3, 1, 0, 1, 3, 3, 3, 1, 1, 0, 2, 3, 2, 4, 4, 2, 2, 2, 1, 1, 1, 3, 4, 4, 1, 3, 1, 4, 3, 3, 1, 1, 3, 2, 3, 2, 1, 3, 0, 2, 1, 4, 3, 2, 4, 3, 2, 4, 1, 2, 2, 0, 4, 2, 4, 2, 0, 1, 4, 2, 1, 1, 3, 0, 1, 0, 4, 0, 4, 4, 2, 1, 3, 4, 4, 2, 0, 4, 3, 2, 4, 2, 4, 0, 4, 2, 4, 4, 4, 4, 4, 4, 2, 1, 2, 0, 4, 3, 4, 0, 2, 4, 0, 2, 4, 1, 2, 4, 4, 3, 3, 3, 1, 1, 0, 0, 3, 0, 0, 4, 1, 0, 3, 1, 2, 0, 3, 3, 2, 0, 3, 3, 3, 0, 1, 1, 0, 3, 1, 2, 4, 0, 3, 0, 0, 3, 2, 3, 3, 4, 0, 3, 4, 4, 4, 1, 1, 3, 4, 4, 4, 2, 1, 3, 0, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 0, 0, 2, 4, 0, 4, 3, 1, 0, 4, 4, 0, 3, 0, 3, 4, 2, 0, 4]
pubkeycol991 = [2, 0, 3, 2, 0, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 4, 3, 0, 4, 0, 3, 0, 0, 0, 4, 0, 4, 3, 0, 0, 0, 1, 4, 4, 0, 3, 1, 2, 3, 4, 2, 2, 4, 1, 3, 3, 1, 1, 0, 3, 4, 4, 4, 4, 1, 3, 3, 4, 1, 0, 1, 1, 3, 3, 0, 4, 4, 0, 0, 0, 0, 2, 4, 3, 3, 1, 3, 3, 3, 3, 4, 0, 3, 0, 2, 3, 3, 1, 1, 1, 1, 3, 3, 4, 4, 0, 3, 2, 4, 2, 0, 0, 0, 4, 3, 3, 4, 0, 4, 2, 3, 2, 2, 2, 3, 3, 1, 3, 1, 3, 4, 0, 1, 2, 4, 1, 3, 3, 1, 2, 1, 0, 0, 1, 1, 4, 2, 2, 4, 1, 0, 0, 3, 2, 1, 0, 4, 1, 0, 4, 1, 3, 4, 2, 0, 3, 1, 4, 2, 0, 3, 1, 3, 4, 2, 1, 2, 1, 4, 2, 4, 3, 2, 3, 1, 2, 2, 4, 4, 4, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 2, 0, 4, 0, 3, 1, 1, 0, 4, 3, 4, 0, 4, 2, 0, 1, 2, 3, 1, 2, 0, 3, 1, 0, 1, 3, 0, 0, 2, 2, 2, 4, 0, 0, 2, 2, 2, 1, 3, 3, 0, 3, 2, 0, 1, 0, 0, 3, 4, 0, 4, 2, 3, 4, 0, 1, 4, 3, 0, 3, 2, 3, 1, 1, 2, 4, 0, 2, 4, 3, 4, 3, 0, 0, 0, 1, 3, 3, 3, 2, 2, 1, 1, 0, 4, 0, 2, 4, 0, 4, 0, 0, 4, 1, 4, 2, 2, 4, 2, 3, 4, 1, 1, 3, 3, 4, 1, 0, 3, 0, 0, 4, 1, 4, 1, 1, 2, 1, 2, 0, 4, 2, 1, 4, 0, 1, 0, 0, 3, 2]
pubkeycol992 = [0, 4, 1, 1, 4, 3, 4, 2, 3, 4, 3, 0, 2, 2, 0, 1, 2, 4, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 3, 4, 4, 0, 4, 3, 0, 3, 1, 2, 2, 3, 4, 1, 2, 4, 4, 4, 4, 1, 3, 1, 0, 2, 3, 2, 0, 3, 3, 4, 2, 1, 3, 0, 4, 2, 1, 0, 1, 1, 0, 3, 2, 3, 1, 3, 1, 4, 4, 2, 2, 1, 3, 3, 3, 3, 4, 4, 0, 4, 4, 1, 3, 4, 4, 3, 0, 1, 3, 2, 4, 0, 4, 4, 3, 4, 4, 4, 2, 1, 1, 1, 1, 0, 4, 0, 1, 3, 4, 2, 0, 0, 1, 1, 2, 2, 4, 2, 0, 4, 4, 0, 1, 1, 2, 0, 3, 1, 2, 2, 4, 1, 1, 0, 2, 2, 3, 1, 1, 3, 3, 2, 3, 3, 1, 4, 2, 3, 0, 3, 0, 0, 3, 0, 4, 0, 4, 4, 1, 3, 3, 2, 3, 2, 4, 2, 2, 3, 4, 0, 2, 3, 4, 4, 2, 0, 1, 0, 2, 0, 1, 4, 4, 3, 0, 1, 2, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 4, 1, 1, 0, 3, 1, 0, 3, 1, 2, 4, 3, 1, 1, 3, 0, 3, 2, 1, 1, 2, 2, 2, 2, 0, 1, 4, 3, 0, 3, 3, 4, 3, 3, 3, 2, 3, 4, 1, 1, 0, 1, 1, 2, 3, 3, 0, 0, 3, 4, 2, 4, 0, 0, 3, 4, 2, 4, 3, 3, 0, 0, 1, 3, 3, 0, 3, 3, 2, 3, 4, 4, 0, 1, 2, 4, 0, 2, 4, 1, 0, 4, 4, 2, 3, 3, 3, 3, 0, 1, 3, 2, 3, 0, 0, 0, 4, 1, 1, 4, 3, 3, 0, 2, 3, 0, 2, 1]
pubkeycol993 = [2, 4, 1, 0, 0, 4, 0, 0, 0, 3, 0, 3, 3, 1, 1, 2, 2, 3, 1, 0, 1, 4, 2, 2, 3, 4, 1, 3, 1, 4, 4, 4, 4, 2, 1, 4, 0, 0, 3, 4, 0, 0, 3, 0, 0, 1, 3, 1, 4, 4, 1, 2, 1, 4, 2, 1, 4, 1, 2, 2, 2, 1, 3, 2, 2, 4, 1, 1, 1, 1, 1, 2, 0, 3, 1, 4, 1, 0, 2, 0, 2, 3, 4, 3, 1, 3, 4, 4, 0, 4, 1, 3, 1, 1, 1, 1, 0, 0, 0, 2, 4, 2, 4, 4, 2, 1, 3, 2, 1, 1, 1, 0, 3, 2, 3, 2, 0, 2, 2, 0, 3, 2, 0, 3, 3, 2, 2, 0, 0, 1, 1, 2, 3, 3, 2, 3, 4, 2, 0, 0, 2, 0, 2, 4, 2, 1, 0, 3, 4, 2, 2, 1, 0, 4, 3, 3, 2, 3, 4, 4, 0, 2, 0, 0, 3, 1, 4, 2, 3, 4, 2, 1, 4, 0, 0, 2, 1, 1, 2, 1, 3, 0, 3, 0, 3, 4, 0, 3, 3, 4, 3, 4, 2, 3, 0, 4, 3, 4, 0, 1, 4, 3, 3, 4, 0, 1, 0, 1, 1, 1, 1, 0, 2, 3, 0, 4, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 4, 2, 3, 4, 1, 0, 0, 2, 1, 1, 1, 0, 3, 2, 3, 3, 3, 1, 4, 3, 1, 1, 0, 4, 1, 2, 1, 0, 4, 4, 0, 0, 2, 1, 0, 3, 4, 2, 0, 0, 2, 0, 2, 3, 1, 1, 2, 3, 4, 3, 0, 3, 4, 1, 2, 3, 4, 1, 4, 2, 1, 2, 0, 1, 0, 3, 1, 2, 2, 4, 0, 3, 0, 4, 0, 0, 4, 0, 0, 2, 2, 3, 0, 2, 4, 3, 1, 3, 4, 4, 4, 0, 0, 1]
pubkeycol994 = [4, 3, 0, 3, 3, 3, 0, 2, 4, 1, 0, 2, 2, 4, 3, 2, 3, 3, 3, 4, 1, 4, 0, 2, 4, 2, 3, 1, 3, 2, 1, 2, 1, 4, 3, 2, 2, 0, 0, 0, 3, 4, 4, 0, 1, 3, 3, 0, 1, 2, 2, 3, 2, 2, 2, 2, 3, 0, 1, 3, 2, 3, 4, 4, 4, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 3, 4, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 1, 4, 2, 4, 3, 3, 2, 2, 4, 0, 4, 0, 4, 1, 0, 1, 3, 0, 0, 2, 1, 2, 0, 3, 1, 0, 2, 1, 1, 2, 0, 0, 0, 4, 2, 1, 0, 1, 3, 4, 0, 2, 1, 0, 0, 0, 4, 4, 1, 3, 0, 4, 4, 4, 3, 3, 1, 4, 3, 3, 2, 4, 3, 2, 0, 0, 2, 0, 3, 3, 2, 2, 0, 1, 2, 4, 4, 1, 3, 4, 4, 3, 3, 2, 1, 0, 4, 1, 3, 2, 3, 4, 1, 4, 4, 3, 1, 2, 1, 2, 3, 1, 1, 4, 2, 4, 0, 0, 1, 1, 4, 1, 2, 1, 0, 2, 2, 1, 1, 3, 3, 4, 4, 4, 2, 1, 1, 3, 3, 1, 3, 0, 2, 0, 2, 1, 1, 3, 1, 4, 1, 1, 0, 2, 2, 1, 2, 4, 2, 3, 1, 2, 4, 2, 2, 4, 2, 2, 1, 0, 3, 3, 2, 1, 3, 4, 2, 2, 0, 1, 0, 4, 3, 4, 1, 2, 3, 1, 3, 3, 4, 2, 0, 0, 2, 3, 4, 4, 2, 3, 1, 4, 4, 0, 4, 1, 4, 4, 2, 0, 1, 2, 2, 0, 2, 3, 3, 1, 0, 4, 3, 1, 2, 0, 4, 2, 2, 0, 4, 1, 3, 3, 1, 1, 4, 4, 2, 4, 2]
pubkeycol995 = [2, 4, 2, 0, 3, 2, 4, 0, 0, 0, 0, 3, 1, 3, 1, 3, 0, 1, 3, 1, 3, 4, 1, 0, 1, 4, 0, 0, 4, 0, 4, 0, 1, 3, 1, 1, 1, 3, 3, 3, 0, 0, 3, 0, 2, 0, 3, 2, 2, 0, 2, 2, 1, 2, 3, 4, 2, 4, 3, 4, 3, 0, 1, 0, 2, 1, 3, 0, 1, 3, 0, 4, 4, 0, 0, 3, 2, 4, 1, 3, 0, 4, 2, 0, 0, 1, 3, 4, 3, 2, 2, 0, 4, 3, 1, 3, 1, 4, 4, 1, 2, 2, 3, 4, 0, 4, 1, 0, 1, 0, 2, 4, 3, 1, 4, 1, 2, 2, 3, 1, 2, 3, 2, 3, 4, 4, 2, 3, 1, 0, 2, 4, 4, 1, 4, 1, 1, 2, 4, 0, 1, 2, 3, 1, 2, 3, 0, 0, 4, 1, 2, 1, 0, 0, 4, 1, 0, 4, 1, 0, 3, 1, 3, 0, 0, 2, 0, 0, 2, 0, 4, 3, 3, 2, 1, 0, 4, 2, 2, 2, 2, 4, 1, 1, 4, 0, 4, 3, 4, 4, 2, 0, 1, 3, 4, 3, 2, 2, 3, 3, 1, 1, 4, 2, 2, 0, 0, 4, 4, 1, 1, 0, 1, 3, 4, 1, 1, 4, 1, 3, 4, 0, 4, 0, 4, 1, 1, 2, 1, 0, 1, 0, 1, 3, 3, 1, 0, 4, 0, 3, 3, 3, 1, 3, 2, 2, 0, 3, 0, 3, 0, 0, 1, 1, 2, 4, 2, 3, 1, 4, 2, 4, 0, 0, 2, 1, 4, 2, 4, 0, 0, 2, 0, 0, 1, 2, 4, 0, 1, 3, 3, 2, 4, 2, 2, 2, 4, 0, 4, 3, 4, 0, 0, 2, 4, 2, 3, 1, 0, 3, 1, 4, 2, 2, 0, 4, 3, 3, 0, 3, 2, 0, 4, 0, 3, 0, 0, 0, 0, 3]
pubkeycol996 = [2, 1, 4, 0, 0, 3, 2, 1, 4, 2, 2, 2, 3, 0, 1, 1, 2, 2, 4, 1, 1, 2, 4, 3, 2, 1, 0, 1, 4, 1, 0, 0, 2, 3, 3, 4, 1, 0, 1, 1, 0, 4, 0, 2, 4, 1, 3, 2, 1, 1, 2, 1, 0, 1, 0, 2, 4, 0, 4, 1, 1, 0, 2, 1, 4, 1, 4, 4, 0, 3, 0, 0, 2, 2, 2, 1, 4, 0, 4, 0, 0, 2, 4, 4, 2, 2, 4, 0, 4, 0, 1, 0, 4, 3, 1, 0, 4, 1, 0, 4, 4, 4, 0, 2, 2, 3, 2, 2, 0, 3, 1, 1, 2, 2, 1, 1, 1, 4, 4, 3, 2, 3, 0, 4, 4, 2, 2, 4, 3, 4, 4, 3, 1, 4, 3, 4, 2, 4, 3, 0, 4, 1, 0, 4, 4, 2, 0, 3, 1, 2, 2, 0, 3, 0, 0, 3, 1, 3, 0, 1, 4, 3, 2, 3, 4, 2, 2, 1, 0, 0, 0, 2, 3, 0, 4, 4, 4, 4, 2, 1, 2, 0, 3, 2, 4, 2, 0, 4, 2, 1, 1, 2, 2, 4, 3, 3, 1, 2, 4, 1, 3, 0, 4, 2, 0, 4, 0, 0, 1, 2, 4, 3, 3, 3, 2, 4, 3, 1, 3, 3, 1, 2, 1, 2, 2, 3, 2, 4, 0, 4, 1, 2, 0, 2, 4, 0, 2, 0, 2, 4, 2, 0, 0, 3, 4, 4, 1, 2, 3, 3, 3, 3, 3, 0, 2, 2, 4, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 1, 0, 0, 2, 3, 2, 4, 2, 0, 1, 4, 1, 4, 0, 0, 3, 0, 4, 0, 4, 4, 0, 3, 4, 3, 2, 1, 2, 4, 3, 2, 0, 4, 3, 1, 0, 2, 2, 4, 4, 0, 1, 1, 3, 2, 2, 4, 2, 4, 2, 0, 0, 1]
pubkeycol997 = [0, 1, 0, 4, 4, 2, 2, 1, 2, 3, 0, 4, 3, 0, 3, 1, 3, 1, 2, 2, 4, 3, 2, 3, 1, 1, 4, 3, 1, 4, 1, 4, 0, 2, 2, 0, 3, 2, 0, 2, 3, 0, 2, 4, 0, 2, 3, 3, 1, 0, 0, 3, 2, 1, 1, 1, 1, 0, 2, 3, 2, 4, 2, 1, 1, 3, 0, 1, 0, 2, 3, 1, 2, 0, 0, 3, 0, 3, 3, 4, 4, 0, 1, 2, 3, 3, 1, 3, 2, 4, 1, 4, 3, 3, 2, 3, 0, 0, 1, 4, 0, 4, 2, 1, 2, 3, 1, 3, 2, 1, 2, 0, 3, 4, 0, 3, 1, 3, 2, 2, 0, 2, 2, 2, 3, 1, 4, 4, 4, 3, 1, 2, 3, 1, 2, 0, 0, 4, 3, 1, 3, 2, 3, 1, 1, 4, 4, 1, 3, 3, 2, 4, 0, 3, 2, 0, 2, 1, 0, 4, 2, 0, 0, 1, 4, 1, 0, 0, 0, 3, 2, 2, 4, 1, 2, 3, 1, 3, 1, 0, 2, 2, 0, 4, 4, 2, 0, 1, 3, 2, 2, 1, 1, 1, 0, 4, 4, 2, 2, 1, 0, 4, 0, 4, 4, 4, 1, 1, 4, 4, 0, 1, 4, 1, 2, 3, 0, 1, 3, 4, 4, 0, 4, 3, 0, 2, 3, 3, 3, 4, 0, 2, 2, 3, 3, 4, 1, 4, 0, 2, 1, 4, 4, 4, 2, 1, 3, 1, 4, 3, 3, 1, 0, 4, 3, 1, 2, 4, 3, 4, 0, 3, 4, 3, 2, 1, 3, 3, 2, 0, 3, 4, 4, 2, 1, 4, 3, 4, 0, 1, 0, 3, 0, 1, 0, 0, 1, 2, 3, 0, 0, 2, 1, 1, 0, 4, 0, 2, 4, 0, 4, 0, 2, 4, 1, 2, 2, 2, 1, 0, 0, 1, 2, 4, 1, 2, 0, 1, 2, 2]
pubkeycol998 = [3, 3, 1, 3, 3, 0, 0, 4, 3, 4, 4, 3, 0, 2, 1, 2, 2, 4, 1, 4, 3, 4, 3, 1, 4, 1, 2, 2, 4, 1, 3, 4, 2, 2, 4, 1, 4, 2, 1, 0, 1, 1, 3, 4, 2, 4, 4, 4, 1, 0, 3, 3, 3, 1, 3, 4, 1, 2, 2, 2, 2, 3, 3, 3, 0, 4, 4, 0, 1, 0, 0, 4, 2, 0, 2, 4, 1, 1, 0, 1, 4, 4, 1, 3, 2, 0, 3, 1, 4, 1, 4, 0, 2, 0, 4, 0, 2, 1, 2, 4, 4, 4, 1, 0, 4, 3, 0, 1, 3, 4, 3, 0, 4, 4, 0, 1, 0, 2, 2, 2, 4, 3, 4, 1, 1, 1, 2, 0, 0, 0, 0, 1, 3, 4, 2, 3, 3, 0, 0, 1, 2, 0, 1, 2, 4, 2, 4, 1, 3, 1, 1, 4, 4, 2, 2, 0, 4, 1, 3, 0, 1, 2, 0, 3, 0, 1, 1, 3, 3, 0, 2, 1, 3, 1, 1, 2, 3, 1, 3, 0, 1, 2, 0, 1, 1, 4, 0, 0, 3, 2, 1, 2, 4, 1, 2, 3, 1, 4, 0, 3, 3, 4, 0, 1, 0, 0, 2, 3, 3, 4, 2, 1, 3, 3, 3, 2, 0, 0, 1, 4, 1, 3, 0, 0, 3, 2, 1, 3, 4, 3, 4, 0, 2, 2, 4, 2, 1, 4, 2, 2, 3, 2, 2, 4, 2, 1, 3, 4, 2, 0, 0, 0, 4, 4, 3, 3, 2, 0, 2, 4, 2, 1, 0, 2, 3, 4, 1, 3, 3, 1, 3, 1, 3, 4, 0, 3, 4, 2, 3, 4, 3, 0, 2, 1, 1, 2, 2, 2, 0, 3, 4, 0, 0, 3, 3, 4, 3, 4, 0, 0, 0, 4, 0, 0, 3, 0, 3, 4, 4, 0, 1, 1, 1, 0, 0, 2, 0, 1, 3, 1]
pubkeycol999 = [0, 2, 0, 0, 0, 4, 3, 0, 1, 1, 4, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 3, 3, 2, 3, 4, 0, 2, 4, 2, 1, 3, 0, 1, 0, 2, 0, 3, 2, 1, 0, 4, 4, 1, 0, 4, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 3, 2, 3, 2, 4, 1, 3, 4, 3, 2, 2, 0, 1, 4, 4, 3, 2, 4, 1, 1, 0, 4, 0, 0, 0, 2, 2, 3, 3, 2, 0, 4, 0, 0, 1, 2, 2, 2, 4, 3, 3, 2, 3, 1, 4, 3, 0, 2, 4, 2, 0, 1, 3, 4, 1, 2, 0, 4, 0, 2, 0, 3, 4, 0, 1, 0, 1, 3, 1, 1, 0, 4, 1, 4, 1, 3, 2, 4, 0, 4, 1, 0, 3, 4, 3, 4, 4, 2, 4, 3, 1, 0, 4, 0, 0, 4, 3, 2, 1, 2, 2, 4, 0, 1, 2, 3, 2, 2, 3, 2, 2, 1, 3, 4, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 4, 4, 3, 1, 1, 3, 2, 4, 4, 4, 4, 3, 1, 4, 0, 2, 2, 1, 0, 3, 1, 0, 2, 2, 2, 3, 1, 3, 4, 3, 1, 1, 3, 3, 2, 3, 4, 0, 2, 4, 4, 1, 2, 1, 3, 3, 1, 3, 4, 2, 2, 4, 4, 0, 2, 4, 4, 1, 3, 3, 1, 4, 3, 4, 0, 4, 4, 0, 0, 4, 1, 4, 3, 2, 4, 0, 3, 4, 1, 3, 0, 2, 2, 2, 4, 0, 2, 1, 4, 2, 3, 4, 1, 2, 1, 1, 3, 1, 0, 3, 0, 4, 2, 3, 4, 3, 2, 2, 1, 3, 3, 4, 0, 4, 0, 2, 3, 3, 3, 2, 1, 4, 0, 2, 0, 1, 4, 2, 1, 2, 0, 2, 2, 2, 3, 0, 1]
pubkeycol1000 = [2, 2, 4, 0, 3, 3, 2, 0, 3, 0, 0, 3, 4, 3, 3, 1, 4, 1, 2, 0, 0, 2, 4, 1, 1, 4, 0, 3, 1, 3, 2, 4, 0, 2, 4, 0, 0, 1, 1, 0, 4, 3, 3, 1, 4, 2, 2, 4, 3, 1, 0, 1, 4, 1, 3, 1, 1, 4, 2, 4, 2, 2, 2, 0, 3, 4, 3, 1, 3, 2, 0, 0, 4, 1, 0, 1, 2, 1, 3, 1, 0, 2, 2, 0, 0, 3, 0, 0, 1, 4, 1, 0, 2, 1, 3, 1, 3, 2, 3, 0, 2, 4, 1, 2, 0, 0, 1, 3, 0, 4, 4, 2, 0, 3, 0, 0, 3, 3, 2, 3, 3, 0, 2, 0, 3, 3, 4, 4, 4, 2, 2, 4, 3, 1, 4, 2, 1, 2, 2, 2, 3, 3, 1, 3, 3, 0, 2, 1, 2, 3, 3, 1, 2, 4, 2, 2, 0, 2, 2, 2, 4, 2, 4, 1, 1, 4, 4, 3, 0, 0, 3, 2, 4, 0, 0, 1, 2, 4, 0, 0, 4, 1, 0, 4, 3, 4, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 0, 3, 1, 3, 0, 0, 1, 3, 0, 0, 3, 1, 3, 3, 2, 4, 2, 0, 0, 4, 4, 3, 3, 4, 3, 1, 2, 1, 2, 2, 4, 4, 2, 2, 1, 3, 4, 1, 4, 4, 0, 1, 4, 2, 0, 4, 1, 3, 2, 0, 1, 0, 2, 4, 1, 3, 2, 0, 3, 1, 3, 3, 1, 1, 4, 1, 1, 2, 3, 2, 3, 1, 4, 3, 0, 1, 4, 3, 4, 4, 3, 1, 0, 3, 2, 4, 1, 1, 1, 2, 3, 1, 1, 4, 1, 0, 0, 4, 0, 4, 0, 2, 0, 4, 0, 0, 4, 2, 1, 4, 0, 0, 4, 0, 3, 4, 4, 4, 4, 2, 3, 4, 3, 2]
pubkeycol1001 = [0, 1, 1, 1, 3, 1, 2, 0, 1, 0, 2, 3, 1, 2, 1, 4, 0, 0, 4, 3, 3, 1, 4, 2, 0, 2, 2, 3, 0, 1, 1, 4, 1, 4, 0, 3, 1, 3, 4, 1, 4, 3, 0, 0, 1, 2, 0, 0, 4, 2, 0, 1, 4, 3, 1, 1, 0, 4, 1, 3, 0, 3, 2, 4, 3, 1, 2, 0, 4, 4, 2, 3, 4, 1, 2, 4, 3, 0, 0, 1, 0, 0, 4, 4, 2, 4, 3, 2, 4, 0, 0, 4, 0, 1, 1, 2, 0, 2, 2, 3, 0, 4, 3, 3, 2, 3, 1, 3, 1, 4, 0, 1, 2, 1, 1, 0, 0, 4, 0, 0, 2, 1, 2, 0, 4, 2, 3, 2, 2, 0, 2, 0, 0, 2, 0, 3, 4, 2, 4, 0, 2, 2, 0, 3, 3, 3, 2, 3, 0, 1, 2, 4, 0, 1, 1, 4, 2, 2, 4, 4, 0, 4, 0, 3, 0, 3, 3, 3, 3, 1, 4, 1, 0, 4, 0, 3, 0, 3, 0, 1, 1, 4, 0, 1, 3, 0, 4, 0, 1, 4, 1, 0, 0, 0, 3, 3, 2, 2, 0, 0, 3, 0, 2, 0, 3, 4, 2, 1, 3, 0, 1, 3, 0, 3, 0, 2, 3, 4, 1, 2, 3, 2, 4, 1, 2, 2, 3, 2, 3, 3, 0, 1, 3, 1, 4, 1, 1, 2, 3, 3, 3, 0, 1, 0, 4, 3, 2, 1, 0, 2, 3, 1, 3, 2, 1, 1, 4, 1, 1, 3, 3, 3, 1, 4, 1, 1, 2, 4, 4, 1, 1, 3, 4, 1, 4, 0, 2, 2, 4, 0, 2, 1, 0, 2, 1, 3, 0, 3, 4, 4, 4, 2, 0, 4, 1, 2, 3, 3, 2, 3, 2, 4, 4, 1, 0, 2, 1, 4, 0, 3, 0, 1, 1, 0, 2, 0, 4, 4, 2, 4]
pubkeycol1002 = [0, 3, 0, 4, 3, 3, 3, 4, 4, 3, 4, 3, 0, 4, 1, 2, 4, 4, 4, 0, 3, 1, 3, 1, 1, 4, 1, 3, 2, 3, 4, 0, 2, 2, 3, 3, 3, 4, 4, 4, 1, 0, 0, 2, 3, 3, 0, 2, 4, 2, 2, 3, 0, 1, 3, 1, 1, 4, 4, 4, 2, 4, 3, 1, 1, 1, 1, 4, 2, 3, 3, 0, 0, 2, 4, 4, 1, 4, 4, 2, 2, 4, 2, 0, 1, 2, 3, 4, 0, 0, 4, 1, 2, 4, 3, 0, 0, 2, 2, 1, 4, 1, 4, 0, 3, 3, 1, 1, 0, 2, 0, 3, 3, 2, 3, 4, 1, 1, 0, 3, 0, 2, 2, 0, 1, 0, 0, 2, 4, 3, 0, 1, 3, 3, 0, 0, 1, 2, 4, 2, 2, 1, 2, 4, 3, 2, 4, 2, 4, 2, 2, 0, 3, 0, 3, 0, 2, 3, 4, 4, 3, 1, 4, 0, 2, 1, 1, 1, 1, 2, 1, 4, 2, 0, 3, 3, 4, 1, 4, 3, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 4, 3, 4, 1, 3, 3, 4, 0, 3, 4, 1, 4, 4, 2, 2, 0, 2, 0, 4, 1, 0, 0, 1, 1, 0, 1, 2, 4, 0, 3, 0, 3, 0, 4, 1, 0, 3, 0, 0, 4, 4, 1, 1, 4, 1, 3, 0, 4, 2, 2, 1, 2, 4, 0, 1, 2, 0, 0, 0, 2, 0, 4, 1, 2, 2, 1, 3, 1, 4, 2, 4, 1, 2, 1, 4, 3, 3, 2, 3, 1, 1, 2, 2, 1, 1, 4, 2, 1, 4, 4, 1, 1, 3, 0, 0, 3, 4, 0, 1, 1, 1, 3, 3, 1, 3, 1, 2, 2, 4, 1, 2, 2, 3, 1, 2, 1, 1, 0, 4, 2, 3, 3, 1, 2, 2, 4, 2, 1, 4, 3]
pubkeycol1003 = [4, 4, 3, 1, 2, 2, 3, 0, 4, 0, 0, 0, 1, 0, 1, 2, 4, 3, 3, 0, 3, 3, 0, 3, 0, 3, 1, 1, 4, 3, 3, 1, 1, 4, 3, 1, 2, 4, 0, 1, 4, 1, 0, 3, 3, 4, 1, 0, 4, 2, 1, 0, 4, 1, 3, 0, 0, 0, 3, 0, 1, 2, 4, 3, 1, 3, 4, 2, 1, 4, 2, 1, 0, 1, 3, 2, 1, 4, 2, 3, 1, 4, 1, 1, 2, 3, 2, 0, 1, 4, 3, 0, 0, 2, 4, 3, 0, 1, 1, 4, 4, 1, 1, 3, 1, 0, 3, 4, 4, 1, 3, 0, 0, 4, 2, 0, 4, 3, 2, 1, 3, 2, 4, 0, 0, 3, 4, 2, 2, 3, 4, 0, 0, 3, 1, 3, 3, 3, 1, 3, 0, 0, 4, 2, 2, 1, 0, 1, 3, 1, 0, 1, 2, 2, 0, 2, 1, 4, 1, 0, 3, 0, 2, 2, 0, 1, 4, 3, 1, 2, 3, 1, 3, 3, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 3, 0, 1, 2, 1, 0, 0, 3, 3, 1, 1, 2, 3, 3, 2, 2, 0, 3, 2, 2, 0, 3, 1, 1, 4, 1, 4, 0, 1, 4, 0, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 0, 1, 2, 4, 3, 4, 1, 1, 0, 0, 0, 4, 4, 4, 1, 3, 0, 4, 2, 2, 1, 2, 0, 2, 3, 3, 2, 3, 1, 4, 0, 0, 4, 4, 3, 2, 2, 4, 4, 2, 0, 0, 1, 3, 1, 0, 1, 3, 2, 4, 0, 1, 0, 3, 0, 4, 3, 0, 2, 3, 4, 3, 3, 4, 3, 4, 0, 3, 1, 0, 0, 2, 1, 0, 2, 0, 2, 3, 4, 1, 2, 1, 3, 1, 4, 2, 1, 0, 2, 1, 2, 4, 0]
pubkeycol1004 = [2, 4, 2, 4, 0, 4, 3, 1, 0, 3, 0, 3, 1, 2, 1, 2, 4, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 4, 0, 2, 4, 1, 3, 3, 1, 1, 2, 0, 4, 1, 0, 2, 4, 2, 4, 0, 4, 1, 4, 2, 3, 0, 2, 1, 0, 1, 0, 2, 3, 4, 0, 4, 4, 2, 3, 3, 1, 0, 1, 2, 4, 3, 2, 2, 3, 1, 2, 2, 2, 2, 0, 1, 3, 0, 1, 3, 2, 3, 2, 1, 1, 3, 4, 3, 3, 3, 4, 2, 1, 3, 2, 2, 2, 0, 0, 2, 1, 0, 3, 0, 3, 1, 1, 1, 4, 2, 2, 3, 4, 0, 4, 0, 0, 1, 1, 3, 1, 4, 3, 1, 4, 1, 2, 4, 0, 1, 3, 3, 0, 3, 2, 4, 0, 3, 2, 3, 0, 2, 4, 4, 2, 2, 3, 4, 3, 1, 3, 1, 1, 0, 4, 3, 3, 4, 3, 2, 1, 4, 2, 3, 1, 3, 2, 2, 1, 0, 4, 0, 1, 4, 1, 2, 2, 1, 3, 1, 4, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 3, 4, 0, 2, 4, 1, 2, 3, 4, 0, 2, 0, 4, 3, 1, 2, 0, 4, 4, 2, 3, 4, 1, 3, 0, 1, 4, 2, 3, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 4, 1, 2, 3, 0, 2, 2, 4, 3, 4, 4, 3, 2, 1, 0, 4, 3, 2, 3, 0, 2, 1, 4, 4, 4, 4, 2, 0, 4, 4, 4, 1, 4, 1, 2, 0, 4, 4, 2, 0, 3, 0, 1, 2, 1, 2, 2, 1, 0, 4, 1, 4, 4, 4, 2, 1, 2, 3, 4, 4, 0, 4, 3, 0, 3, 3, 0, 1, 0, 1, 0, 1, 4, 2, 4, 1, 2, 2, 3]
pubkeycol1005 = [3, 1, 1, 1, 0, 2, 4, 0, 1, 3, 3, 1, 2, 0, 1, 2, 2, 0, 3, 3, 4, 0, 0, 2, 3, 0, 1, 0, 1, 0, 2, 3, 2, 0, 4, 3, 2, 1, 4, 2, 1, 0, 3, 0, 2, 3, 2, 3, 1, 3, 0, 4, 3, 4, 0, 3, 0, 0, 1, 4, 2, 4, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 3, 0, 4, 2, 4, 2, 4, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 4, 4, 2, 1, 2, 3, 4, 1, 0, 3, 1, 0, 4, 1, 3, 3, 4, 1, 1, 3, 0, 2, 0, 3, 3, 3, 4, 0, 2, 2, 4, 3, 0, 3, 2, 2, 0, 3, 2, 3, 2, 1, 4, 4, 1, 2, 4, 4, 2, 1, 4, 3, 2, 2, 1, 4, 4, 4, 0, 4, 1, 1, 4, 1, 2, 4, 2, 2, 1, 0, 0, 1, 0, 1, 4, 1, 1, 0, 4, 2, 1, 0, 0, 3, 4, 1, 1, 4, 4, 1, 0, 3, 0, 3, 2, 3, 4, 3, 2, 4, 1, 1, 4, 4, 3, 3, 4, 0, 3, 2, 0, 1, 3, 2, 3, 0, 3, 2, 3, 1, 1, 1, 0, 4, 3, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 3, 4, 0, 1, 0, 2, 3, 0, 2, 4, 1, 1, 3, 4, 1, 2, 0, 4, 4, 0, 1, 1, 4, 2, 4, 2, 2, 2, 4, 1, 4, 1, 0, 2, 1, 1, 4, 2, 2, 3, 3, 4, 0, 1, 0, 4, 1, 2, 0, 2, 2, 2, 4, 1, 2, 4, 1, 4, 0, 4, 1, 1, 0, 2, 2, 3, 1, 1, 2, 2, 0, 2, 1, 4, 0, 3, 4, 3, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 3, 1, 2]
pubkeycol1006 = [2, 4, 4, 1, 4, 4, 2, 2, 2, 2, 1, 3, 1, 0, 1, 3, 2, 2, 4, 0, 3, 1, 4, 4, 4, 2, 2, 3, 0, 1, 1, 1, 4, 3, 2, 2, 2, 4, 1, 0, 1, 2, 0, 4, 1, 3, 2, 3, 2, 4, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 4, 0, 3, 3, 3, 1, 2, 0, 2, 1, 3, 1, 0, 0, 1, 2, 1, 4, 2, 3, 0, 0, 0, 3, 1, 3, 1, 1, 3, 2, 2, 0, 3, 2, 4, 3, 0, 4, 4, 1, 1, 4, 4, 0, 3, 2, 3, 0, 3, 3, 2, 4, 0, 1, 4, 3, 1, 3, 3, 0, 2, 2, 0, 2, 1, 4, 2, 0, 3, 4, 3, 4, 0, 0, 0, 0, 2, 0, 1, 0, 3, 4, 4, 2, 4, 4, 3, 4, 4, 0, 3, 0, 3, 1, 4, 0, 3, 0, 2, 1, 1, 3, 2, 2, 0, 1, 0, 2, 0, 1, 0, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 4, 0, 1, 3, 4, 3, 0, 1, 0, 0, 3, 2, 0, 3, 0, 0, 4, 2, 3, 2, 0, 0, 1, 4, 4, 0, 2, 3, 1, 3, 4, 2, 0, 1, 2, 3, 2, 4, 1, 0, 4, 1, 3, 1, 3, 4, 1, 4, 3, 0, 1, 1, 3, 2, 4, 4, 4, 3, 0, 4, 4, 3, 0, 1, 3, 0, 3, 2, 1, 2, 0, 3, 1, 3, 1, 4, 3, 1, 1, 1, 1, 3, 3, 4, 0, 4, 0, 0, 3, 3, 1, 2, 0, 4, 4, 2, 4, 0, 3, 1, 4, 3, 0, 1, 3, 3, 1, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 3, 0, 4, 2, 0, 3, 4, 4, 4, 3, 0, 3, 2, 0, 4, 0, 2, 2, 1, 0, 2]
pubkeycol1007 = [4, 0, 1, 3, 2, 0, 2, 2, 4, 2, 3, 0, 2, 1, 4, 4, 1, 3, 0, 4, 2, 3, 3, 4, 4, 2, 1, 3, 0, 2, 1, 4, 0, 2, 0, 1, 2, 2, 3, 2, 0, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 3, 4, 1, 0, 4, 3, 4, 1, 1, 1, 3, 4, 3, 2, 1, 4, 2, 0, 0, 1, 2, 1, 4, 2, 3, 1, 3, 2, 0, 0, 3, 1, 2, 0, 4, 2, 0, 4, 0, 4, 2, 1, 3, 4, 3, 2, 0, 3, 2, 1, 0, 2, 2, 3, 1, 4, 0, 3, 2, 1, 1, 0, 4, 3, 1, 1, 2, 0, 3, 2, 0, 4, 3, 2, 1, 3, 2, 4, 0, 3, 0, 4, 1, 3, 0, 2, 0, 1, 1, 1, 0, 3, 3, 4, 1, 3, 4, 2, 1, 3, 0, 4, 0, 1, 4, 1, 0, 3, 1, 4, 2, 1, 4, 0, 0, 3, 1, 3, 4, 2, 3, 2, 3, 3, 4, 2, 3, 0, 3, 1, 0, 3, 4, 2, 3, 2, 1, 4, 4, 0, 2, 3, 4, 0, 2, 4, 2, 4, 2, 3, 0, 1, 4, 4, 2, 2, 4, 4, 4, 0, 4, 0, 1, 3, 3, 0, 1, 4, 3, 4, 0, 2, 2, 0, 3, 2, 2, 1, 1, 3, 2, 0, 2, 4, 3, 4, 4, 1, 3, 2, 3, 0, 1, 3, 4, 1, 4, 3, 1, 2, 2, 2, 3, 1, 3, 1, 0, 1, 3, 1, 1, 0, 2, 0, 1, 1, 1, 3, 1, 1, 1, 2, 4, 3, 4, 1, 4, 3, 2, 4, 4, 4, 1, 0, 3, 0, 1, 3, 1, 2, 4, 0, 4, 0, 4, 1, 1, 2, 1, 3, 2, 3, 4, 2, 3, 0, 2, 0, 3, 4, 1, 2, 1, 3, 3, 0, 3]
pubkeycol1008 = [1, 2, 1, 2, 3, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 4, 2, 4, 0, 1, 1, 2, 2, 2, 1, 4, 1, 1, 0, 3, 1, 1, 3, 2, 0, 3, 1, 3, 0, 0, 2, 0, 0, 2, 1, 4, 4, 1, 2, 3, 4, 4, 0, 1, 1, 1, 1, 1, 3, 2, 3, 3, 4, 3, 4, 3, 2, 1, 0, 2, 4, 4, 2, 1, 4, 3, 1, 4, 0, 4, 0, 3, 0, 2, 0, 0, 4, 2, 4, 3, 3, 3, 0, 1, 4, 2, 4, 4, 3, 1, 4, 4, 2, 4, 0, 4, 4, 1, 4, 0, 4, 0, 4, 1, 0, 3, 2, 4, 2, 2, 0, 0, 1, 2, 1, 1, 3, 1, 4, 2, 2, 2, 0, 0, 4, 0, 2, 1, 3, 4, 3, 4, 4, 0, 2, 4, 4, 1, 2, 3, 1, 3, 0, 1, 4, 4, 2, 0, 2, 2, 4, 3, 4, 4, 3, 0, 1, 3, 0, 4, 1, 0, 1, 0, 4, 4, 1, 3, 4, 3, 3, 4, 1, 1, 0, 2, 0, 1, 1, 1, 3, 4, 0, 2, 0, 3, 3, 2, 2, 1, 0, 3, 1, 4, 0, 3, 1, 0, 4, 2, 3, 4, 4, 4, 3, 2, 4, 3, 2, 4, 1, 0, 1, 4, 2, 0, 2, 0, 1, 3, 3, 0, 4, 2, 4, 0, 2, 2, 2, 3, 0, 2, 0, 3, 3, 0, 4, 4, 1, 0, 4, 0, 2, 2, 3, 1, 4, 1, 2, 1, 3, 3, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 2, 0, 2, 3, 1, 1, 3, 0, 4, 2, 3, 4, 2, 0, 3, 0, 0, 4, 3, 0, 4, 0, 1, 3, 0, 3, 0, 4, 0, 4, 1, 1, 3, 4, 0, 0, 4, 2, 4, 0, 2, 4, 1, 0, 3, 0, 4]
pubkeycol1009 = [4, 0, 2, 0, 0, 2, 3, 3, 3, 0, 0, 4, 2, 0, 2, 2, 3, 0, 3, 3, 1, 3, 1, 3, 3, 4, 4, 0, 2, 0, 4, 1, 2, 0, 1, 1, 3, 2, 4, 3, 3, 1, 0, 3, 2, 3, 0, 4, 0, 1, 1, 0, 1, 3, 0, 4, 0, 3, 3, 1, 1, 4, 1, 2, 3, 2, 4, 1, 3, 1, 1, 0, 4, 2, 0, 4, 3, 4, 0, 0, 4, 2, 0, 2, 3, 4, 3, 3, 2, 4, 0, 2, 0, 4, 1, 2, 0, 3, 3, 1, 1, 1, 2, 2, 3, 1, 0, 0, 4, 4, 4, 3, 1, 1, 1, 2, 1, 3, 2, 0, 2, 4, 2, 2, 4, 4, 4, 2, 2, 4, 3, 2, 4, 4, 0, 1, 1, 3, 1, 2, 2, 1, 3, 0, 4, 0, 1, 0, 3, 4, 3, 3, 3, 3, 0, 1, 2, 1, 1, 3, 0, 1, 2, 3, 3, 3, 3, 1, 2, 1, 4, 0, 4, 1, 1, 2, 4, 0, 2, 0, 4, 1, 3, 4, 3, 4, 2, 0, 4, 3, 3, 4, 1, 1, 3, 2, 1, 0, 0, 2, 0, 2, 4, 2, 4, 0, 4, 4, 1, 3, 1, 3, 0, 0, 4, 3, 0, 1, 0, 3, 4, 0, 4, 3, 2, 1, 2, 2, 2, 3, 2, 0, 1, 0, 3, 2, 2, 2, 3, 3, 3, 0, 2, 0, 2, 2, 3, 4, 4, 3, 2, 2, 1, 0, 4, 2, 2, 3, 2, 0, 0, 1, 2, 4, 1, 1, 1, 4, 3, 0, 2, 3, 2, 4, 2, 4, 4, 3, 3, 2, 2, 0, 0, 3, 0, 3, 4, 0, 0, 1, 0, 1, 2, 2, 1, 4, 0, 2, 0, 1, 0, 2, 1, 3, 4, 3, 0, 0, 2, 3, 1, 3, 0, 1, 4, 3, 1, 2, 4, 2]
pubkeycol1010 = [1, 1, 3, 1, 0, 2, 3, 0, 4, 1, 3, 4, 3, 0, 0, 4, 1, 0, 1, 4, 2, 3, 2, 2, 2, 4, 3, 4, 3, 1, 1, 1, 4, 0, 2, 0, 2, 4, 4, 4, 2, 0, 1, 3, 0, 2, 4, 0, 1, 4, 4, 4, 4, 3, 3, 0, 1, 3, 1, 0, 2, 1, 4, 2, 1, 1, 2, 3, 4, 4, 3, 1, 1, 4, 0, 3, 4, 0, 2, 3, 3, 3, 2, 2, 1, 1, 0, 3, 3, 3, 3, 1, 2, 3, 2, 2, 0, 2, 1, 3, 4, 3, 2, 2, 2, 0, 2, 3, 0, 3, 0, 0, 3, 3, 4, 0, 3, 1, 3, 1, 1, 1, 2, 3, 1, 4, 0, 1, 0, 1, 1, 0, 2, 4, 2, 0, 0, 3, 3, 4, 1, 2, 4, 1, 3, 1, 1, 3, 1, 2, 3, 4, 3, 3, 2, 2, 4, 4, 0, 0, 0, 1, 1, 4, 3, 4, 1, 1, 1, 2, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 1, 3, 1, 2, 4, 3, 4, 2, 4, 2, 1, 3, 3, 2, 4, 3, 3, 1, 0, 4, 1, 1, 0, 0, 4, 1, 1, 4, 3, 1, 0, 4, 0, 1, 3, 1, 0, 3, 4, 2, 3, 3, 4, 2, 3, 4, 1, 3, 2, 0, 4, 4, 2, 3, 2, 2, 2, 1, 4, 2, 2, 4, 4, 1, 1, 2, 1, 0, 1, 3, 1, 1, 4, 4, 2, 3, 2, 0, 3, 3, 1, 4, 2, 3, 4, 2, 1, 0, 4, 3, 3, 1, 0, 4, 3, 2, 0, 2, 2, 4, 0, 0, 2, 3, 4, 2, 2, 4, 2, 3, 4, 2, 3, 3, 2, 4, 4, 4, 2, 3, 2, 2, 1, 4, 3, 4, 0, 1, 1, 2, 1, 3, 3, 3, 4, 1, 0, 2, 4, 1]
pubkeycol1011 = [1, 4, 2, 1, 4, 2, 1, 4, 3, 1, 4, 1, 0, 3, 3, 1, 1, 1, 3, 0, 2, 3, 3, 2, 4, 1, 4, 3, 2, 0, 3, 3, 0, 0, 0, 3, 2, 2, 3, 2, 0, 3, 0, 4, 2, 4, 2, 4, 0, 3, 3, 1, 1, 4, 2, 4, 4, 0, 2, 2, 2, 0, 4, 0, 4, 3, 3, 1, 3, 2, 2, 2, 2, 1, 1, 0, 4, 1, 3, 3, 2, 4, 0, 1, 3, 0, 3, 0, 4, 2, 1, 3, 3, 4, 4, 4, 2, 3, 0, 2, 2, 4, 2, 3, 2, 3, 0, 2, 1, 1, 1, 0, 4, 3, 2, 1, 2, 4, 1, 4, 2, 4, 4, 1, 0, 4, 1, 2, 0, 1, 1, 1, 3, 4, 4, 2, 3, 4, 3, 0, 4, 0, 4, 0, 2, 4, 3, 3, 2, 2, 0, 3, 3, 2, 0, 3, 4, 4, 2, 1, 0, 3, 4, 0, 4, 0, 4, 0, 3, 2, 0, 2, 2, 3, 4, 2, 2, 3, 0, 3, 1, 0, 4, 0, 3, 2, 2, 3, 3, 2, 0, 4, 0, 2, 3, 0, 3, 2, 0, 1, 3, 2, 0, 3, 0, 0, 1, 3, 3, 3, 4, 4, 0, 0, 3, 0, 2, 1, 3, 2, 2, 1, 3, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 4, 1, 1, 2, 4, 1, 4, 4, 1, 1, 2, 2, 3, 0, 0, 0, 4, 4, 3, 2, 2, 4, 2, 1, 2, 3, 3, 4, 1, 1, 1, 3, 0, 2, 3, 4, 1, 2, 1, 3, 3, 2, 2, 4, 4, 1, 3, 1, 2, 0, 3, 1, 0, 2, 0, 2, 0, 4, 4, 1, 2, 3, 0, 3, 4, 0, 0, 0, 3, 4, 0, 0, 3, 4, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 4, 0]
pubkeycol1012 = [2, 1, 1, 0, 0, 1, 3, 3, 4, 2, 0, 2, 2, 0, 0, 2, 4, 0, 3, 4, 2, 4, 2, 0, 4, 4, 1, 4, 4, 2, 1, 1, 4, 4, 4, 1, 3, 3, 3, 2, 0, 4, 3, 1, 3, 2, 2, 0, 1, 4, 3, 3, 1, 4, 0, 0, 2, 1, 2, 4, 3, 3, 3, 1, 4, 4, 2, 2, 1, 1, 3, 4, 4, 3, 2, 2, 0, 0, 0, 4, 3, 1, 0, 3, 4, 0, 1, 1, 0, 4, 2, 0, 4, 1, 4, 0, 2, 4, 2, 3, 2, 2, 1, 4, 3, 0, 3, 2, 0, 1, 2, 1, 0, 2, 4, 1, 1, 3, 4, 2, 2, 3, 4, 3, 4, 2, 1, 1, 4, 2, 2, 1, 0, 4, 4, 4, 3, 0, 3, 4, 0, 0, 3, 4, 2, 1, 1, 1, 0, 4, 2, 4, 4, 1, 3, 3, 2, 2, 2, 2, 4, 1, 1, 1, 1, 1, 3, 2, 0, 3, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 4, 4, 2, 2, 1, 4, 0, 4, 3, 3, 4, 3, 2, 4, 4, 1, 3, 0, 0, 4, 3, 3, 0, 2, 1, 1, 1, 0, 2, 3, 4, 3, 0, 2, 2, 0, 4, 1, 4, 4, 2, 0, 2, 0, 0, 4, 4, 1, 2, 4, 2, 3, 4, 4, 3, 2, 2, 0, 1, 4, 1, 2, 1, 2, 1, 0, 3, 4, 2, 1, 0, 3, 1, 2, 4, 2, 0, 3, 1, 1, 4, 4, 4, 0, 2, 2, 0, 1, 4, 1, 4, 3, 2, 0, 2, 3, 1, 0, 4, 1, 3, 3, 4, 1, 3, 2, 0, 4, 1, 0, 4, 4, 2, 0, 2, 3, 2, 0, 0, 4, 4, 0, 2, 3, 1, 0, 1, 1, 4, 3, 1, 3, 0, 3, 2, 1, 4, 1, 4, 3]
pubkeycol1013 = [1, 4, 3, 3, 4, 1, 1, 4, 4, 3, 2, 1, 4, 1, 1, 2, 1, 4, 4, 1, 3, 1, 1, 1, 0, 1, 3, 2, 0, 1, 3, 0, 0, 3, 3, 4, 4, 2, 0, 2, 3, 4, 0, 2, 3, 4, 4, 1, 3, 0, 3, 1, 3, 3, 4, 0, 4, 0, 2, 0, 0, 0, 0, 1, 4, 1, 2, 0, 0, 4, 3, 3, 1, 4, 2, 2, 0, 2, 3, 3, 1, 0, 2, 0, 2, 2, 4, 0, 2, 3, 1, 4, 3, 1, 1, 1, 1, 0, 4, 4, 4, 3, 0, 0, 2, 2, 4, 4, 4, 2, 1, 2, 3, 4, 0, 1, 3, 0, 3, 4, 3, 4, 3, 1, 3, 1, 0, 2, 1, 2, 4, 0, 1, 3, 0, 2, 1, 4, 2, 1, 2, 0, 3, 4, 0, 4, 1, 4, 2, 0, 0, 1, 4, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 2, 1, 3, 1, 4, 1, 0, 0, 3, 4, 2, 3, 1, 2, 2, 1, 1, 1, 2, 4, 2, 2, 1, 4, 0, 3, 1, 0, 2, 4, 2, 3, 0, 2, 0, 4, 4, 3, 3, 4, 1, 0, 2, 1, 1, 2, 0, 3, 2, 0, 1, 2, 1, 4, 0, 3, 1, 2, 3, 0, 4, 4, 4, 2, 0, 2, 0, 2, 2, 4, 0, 4, 4, 0, 3, 2, 1, 0, 0, 2, 1, 3, 0, 2, 0, 2, 2, 2, 2, 2, 4, 3, 3, 3, 1, 4, 0, 0, 2, 4, 3, 2, 3, 3, 2, 3, 4, 2, 4, 4, 4, 1, 1, 1, 4, 4, 1, 4, 1, 1, 1, 2, 2, 2, 0, 1, 2, 4, 0, 0, 3, 0, 0, 1, 3, 2, 4, 2, 1, 0, 3, 3, 0, 2, 0, 0, 4, 2, 1, 3, 2, 3, 0, 4, 0, 2, 2]
pubkeycol1014 = [1, 3, 2, 0, 2, 2, 2, 0, 2, 3, 2, 1, 3, 4, 4, 3, 1, 0, 3, 4, 4, 0, 4, 4, 2, 4, 1, 2, 1, 2, 4, 3, 2, 2, 2, 4, 1, 1, 0, 0, 2, 1, 2, 1, 0, 3, 3, 2, 3, 3, 3, 0, 1, 3, 2, 1, 4, 1, 0, 1, 3, 1, 3, 0, 1, 2, 3, 0, 3, 2, 1, 0, 2, 2, 2, 1, 1, 3, 3, 0, 4, 4, 1, 3, 3, 2, 1, 4, 0, 3, 3, 2, 1, 2, 3, 4, 2, 4, 2, 0, 1, 2, 2, 3, 1, 2, 2, 0, 3, 1, 2, 1, 3, 1, 3, 0, 3, 0, 4, 1, 1, 2, 1, 0, 1, 4, 2, 3, 3, 0, 0, 2, 3, 2, 0, 2, 0, 4, 4, 3, 1, 2, 4, 1, 1, 0, 1, 4, 2, 2, 2, 3, 2, 3, 0, 4, 1, 0, 0, 4, 2, 4, 3, 0, 4, 1, 4, 4, 3, 2, 4, 3, 4, 0, 2, 4, 1, 4, 1, 1, 4, 0, 1, 3, 4, 1, 1, 2, 1, 3, 3, 1, 4, 1, 3, 3, 3, 1, 1, 0, 0, 3, 3, 2, 0, 2, 4, 4, 2, 3, 3, 0, 1, 2, 2, 3, 4, 4, 1, 1, 2, 4, 1, 3, 3, 1, 4, 4, 1, 1, 4, 0, 2, 1, 2, 0, 4, 2, 2, 3, 0, 1, 4, 0, 4, 3, 1, 2, 4, 4, 0, 2, 1, 1, 0, 1, 3, 4, 1, 4, 4, 2, 2, 0, 3, 4, 4, 4, 1, 0, 1, 4, 0, 2, 2, 3, 4, 4, 1, 3, 1, 4, 3, 3, 3, 2, 0, 4, 4, 2, 1, 4, 4, 4, 0, 0, 4, 3, 2, 1, 3, 0, 0, 4, 1, 1, 3, 4, 2, 2, 2, 0, 1, 2, 0, 1, 4, 2, 0, 3]
pubkeycol1015 = [2, 4, 3, 3, 3, 3, 3, 0, 2, 4, 0, 1, 0, 4, 1, 4, 3, 1, 1, 3, 2, 1, 4, 0, 3, 4, 1, 4, 4, 3, 0, 3, 4, 2, 4, 0, 1, 2, 2, 4, 1, 2, 2, 4, 2, 4, 0, 2, 0, 2, 0, 4, 2, 1, 1, 4, 0, 0, 0, 3, 2, 4, 4, 1, 2, 2, 2, 0, 4, 3, 4, 3, 1, 4, 0, 4, 3, 1, 2, 0, 0, 4, 0, 4, 4, 4, 4, 1, 4, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 4, 2, 3, 3, 1, 4, 2, 3, 2, 3, 1, 4, 4, 3, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 4, 4, 3, 0, 4, 4, 1, 4, 2, 3, 0, 3, 4, 3, 2, 4, 1, 3, 1, 2, 3, 3, 4, 1, 3, 3, 4, 4, 3, 4, 1, 1, 2, 2, 0, 2, 1, 4, 0, 1, 1, 1, 3, 4, 1, 0, 4, 0, 1, 3, 1, 0, 2, 3, 2, 3, 4, 1, 3, 0, 3, 3, 4, 2, 3, 4, 2, 1, 0, 0, 3, 1, 4, 4, 0, 4, 0, 0, 1, 3, 0, 0, 2, 4, 2, 4, 1, 0, 2, 0, 3, 0, 0, 0, 3, 2, 3, 1, 1, 4, 2, 2, 2, 3, 4, 0, 2, 4, 4, 2, 1, 4, 4, 1, 2, 0, 3, 3, 4, 0, 4, 2, 0, 3, 0, 2, 4, 1, 4, 0, 4, 4, 1, 4, 3, 1, 4, 4, 1, 1, 0, 1, 2, 2, 3, 1, 3, 3, 2, 4, 4, 2, 3, 0, 3, 2, 2, 4, 3, 1, 0, 4, 2, 0, 0, 1, 2, 4, 1, 1, 1, 1, 4, 3, 4, 1, 2, 3, 1, 0, 4, 0, 2, 4, 3, 2, 2, 0, 2, 3]
pubkeycol1016 = [4, 1, 3, 2, 2, 0, 0, 2, 3, 2, 1, 0, 2, 2, 2, 4, 2, 3, 4, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 3, 1, 1, 2, 2, 3, 2, 2, 4, 4, 3, 2, 4, 0, 4, 4, 1, 0, 1, 2, 4, 0, 4, 0, 0, 0, 3, 0, 4, 3, 3, 2, 4, 2, 4, 4, 4, 3, 0, 3, 4, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 4, 4, 4, 1, 3, 0, 2, 0, 3, 0, 1, 4, 2, 1, 0, 2, 4, 3, 4, 4, 2, 4, 4, 0, 0, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 4, 2, 3, 1, 2, 1, 3, 4, 2, 4, 3, 0, 0, 4, 1, 2, 0, 3, 1, 4, 1, 0, 4, 4, 1, 2, 2, 1, 2, 0, 3, 3, 2, 1, 1, 3, 2, 3, 4, 1, 2, 3, 4, 4, 3, 0, 1, 2, 3, 4, 1, 1, 3, 0, 2, 0, 1, 3, 2, 4, 3, 3, 0, 2, 2, 4, 0, 4, 1, 0, 3, 2, 4, 2, 3, 1, 4, 0, 4, 2, 4, 0, 4, 4, 0, 0, 1, 2, 0, 3, 0, 4, 3, 3, 4, 3, 3, 4, 0, 1, 1, 1, 3, 1, 3, 0, 2, 3, 2, 1, 4, 1, 2, 3, 3, 0, 2, 4, 0, 2, 1, 2, 4, 0, 3, 4, 3, 1, 1, 4, 4, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 3, 2, 1, 0, 0, 4, 4, 1, 4, 0, 1, 4, 4, 3, 2, 1, 3, 0, 0, 4, 1, 0, 4, 3, 1, 3, 4, 4, 2, 0, 2, 1, 1, 3, 0, 4, 4, 3, 2, 4, 3, 3, 4, 0, 2, 0, 1, 1, 1, 4, 3, 1, 2, 4]
pubkeycol1017 = [4, 1, 2, 1, 4, 0, 0, 2, 4, 4, 2, 3, 3, 2, 2, 2, 3, 3, 1, 2, 1, 4, 2, 4, 4, 2, 0, 4, 2, 2, 1, 4, 3, 3, 2, 0, 2, 2, 1, 4, 0, 2, 3, 1, 4, 1, 2, 1, 0, 2, 3, 3, 1, 2, 0, 2, 4, 3, 2, 4, 4, 2, 3, 4, 1, 3, 4, 2, 3, 1, 2, 0, 3, 3, 0, 4, 0, 4, 1, 4, 2, 2, 2, 0, 2, 3, 4, 1, 3, 4, 0, 4, 2, 4, 3, 3, 1, 3, 3, 1, 1, 4, 2, 4, 0, 4, 3, 2, 1, 3, 4, 0, 0, 1, 0, 3, 3, 0, 2, 4, 1, 3, 1, 3, 3, 4, 0, 4, 3, 4, 0, 0, 0, 2, 4, 1, 0, 0, 3, 4, 4, 0, 0, 4, 2, 0, 3, 4, 3, 3, 0, 3, 2, 2, 1, 2, 1, 1, 2, 4, 3, 2, 3, 2, 4, 1, 1, 4, 2, 3, 2, 4, 3, 0, 3, 2, 2, 0, 4, 2, 0, 1, 3, 1, 2, 4, 0, 2, 2, 3, 0, 0, 1, 0, 3, 4, 0, 4, 3, 3, 0, 3, 2, 3, 3, 4, 0, 0, 3, 1, 2, 0, 1, 4, 1, 4, 0, 0, 3, 3, 1, 2, 3, 2, 1, 3, 4, 3, 2, 0, 3, 3, 4, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 4, 0, 0, 4, 0, 0, 0, 4, 3, 2, 2, 1, 2, 4, 3, 0, 3, 2, 0, 4, 4, 0, 2, 4, 1, 1, 1, 0, 0, 4, 1, 3, 4, 1, 3, 4, 3, 2, 4, 0, 3, 3, 0, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 0, 4, 1, 4, 2, 1, 4, 1, 1, 4, 0, 0, 2, 3, 1, 0, 3, 2, 2, 1, 3, 4]
pubkeycol1018 = [1, 2, 0, 3, 0, 2, 2, 1, 0, 1, 3, 1, 1, 0, 0, 3, 0, 3, 2, 2, 3, 4, 3, 1, 2, 3, 3, 4, 3, 1, 0, 1, 1, 2, 3, 4, 4, 2, 4, 2, 4, 4, 2, 4, 2, 0, 0, 3, 2, 2, 2, 2, 4, 2, 3, 3, 1, 1, 1, 2, 4, 1, 3, 3, 4, 2, 4, 3, 1, 1, 3, 1, 2, 4, 2, 2, 2, 0, 0, 3, 2, 1, 1, 2, 2, 4, 2, 2, 2, 0, 1, 3, 3, 2, 1, 3, 3, 0, 0, 4, 1, 3, 1, 3, 0, 3, 1, 2, 0, 2, 2, 2, 1, 2, 4, 1, 1, 3, 4, 2, 2, 0, 3, 0, 4, 3, 4, 4, 1, 0, 4, 2, 1, 1, 4, 4, 2, 3, 2, 2, 4, 1, 3, 0, 1, 3, 1, 2, 0, 1, 2, 2, 4, 0, 0, 3, 3, 1, 1, 4, 0, 1, 0, 2, 1, 2, 4, 2, 3, 0, 1, 2, 0, 3, 2, 0, 1, 1, 1, 2, 4, 4, 1, 2, 2, 4, 1, 0, 0, 3, 3, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 0, 0, 4, 2, 0, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 1, 1, 3, 3, 2, 0, 1, 0, 4, 1, 0, 3, 2, 4, 4, 0, 1, 1, 2, 0, 4, 4, 4, 1, 4, 1, 4, 0, 1, 0, 4, 1, 0, 4, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 2, 3, 2, 0, 2, 2, 0, 1, 0, 0, 1, 4, 0, 0, 2, 2, 3, 2, 1, 4, 2, 2, 0, 0, 4, 1, 4, 2, 1, 0, 3, 2, 3, 3, 1, 2, 4, 3, 3, 3, 4, 4, 0, 1, 2, 3, 4, 3, 4, 1, 0, 4, 3, 0, 1, 3, 2]
pubkeycol1019 = [2, 4, 0, 4, 1, 2, 2, 2, 3, 3, 3, 2, 1, 0, 2, 0, 0, 0, 4, 2, 2, 4, 2, 1, 0, 1, 2, 3, 0, 4, 2, 0, 3, 2, 3, 1, 0, 2, 1, 0, 4, 0, 3, 1, 1, 4, 1, 4, 2, 2, 4, 4, 0, 4, 2, 4, 0, 1, 3, 0, 0, 2, 4, 0, 4, 1, 4, 0, 2, 0, 3, 4, 4, 4, 3, 4, 1, 2, 1, 1, 0, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 0, 1, 0, 0, 4, 1, 0, 1, 0, 4, 1, 3, 0, 4, 3, 3, 1, 0, 2, 0, 3, 4, 4, 0, 1, 2, 1, 1, 4, 3, 2, 4, 4, 1, 2, 3, 4, 2, 0, 3, 3, 2, 2, 0, 2, 2, 3, 4, 4, 1, 0, 1, 2, 1, 4, 4, 4, 3, 1, 1, 3, 4, 3, 3, 4, 3, 4, 3, 3, 0, 3, 1, 0, 1, 0, 3, 3, 3, 0, 0, 2, 3, 4, 2, 0, 4, 2, 1, 0, 1, 4, 0, 1, 0, 0, 0, 2, 4, 2, 2, 4, 1, 4, 2, 2, 0, 1, 0, 3, 2, 2, 4, 0, 3, 2, 4, 4, 4, 3, 0, 0, 0, 2, 0, 0, 1, 4, 1, 0, 3, 3, 1, 1, 0, 3, 4, 2, 3, 2, 0, 2, 2, 4, 4, 4, 3, 3, 1, 1, 1, 4, 0, 3, 0, 2, 2, 1, 3, 2, 0, 1, 2, 2, 4, 4, 1, 4, 2, 0, 1, 2, 3, 4, 3, 3, 3, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 3, 2, 2, 4, 2, 1, 3, 2, 0, 4, 3, 1, 0, 4, 0, 3, 2, 3, 0, 0, 3, 0, 3, 1, 1, 0, 1, 1, 2, 1, 4, 2, 2, 3, 4, 1, 1, 0, 2, 4, 1]
pubkeycol1020 = [3, 3, 2, 2, 3, 4, 4, 2, 4, 1, 3, 0, 0, 0, 3, 4, 2, 3, 2, 0, 0, 3, 4, 0, 3, 4, 2, 1, 3, 0, 0, 3, 1, 3, 0, 1, 3, 4, 3, 4, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 2, 1, 1, 2, 3, 3, 4, 3, 0, 1, 4, 2, 1, 4, 4, 1, 2, 1, 4, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 0, 1, 0, 3, 2, 0, 3, 4, 3, 0, 1, 0, 2, 2, 0, 4, 2, 1, 0, 2, 4, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 3, 2, 3, 0, 2, 3, 3, 1, 3, 4, 1, 4, 1, 4, 2, 0, 1, 4, 2, 4, 3, 2, 2, 4, 2, 4, 0, 0, 0, 4, 2, 3, 0, 2, 1, 3, 2, 2, 3, 3, 0, 0, 3, 2, 1, 3, 3, 4, 3, 1, 2, 3, 3, 0, 4, 3, 0, 3, 0, 0, 2, 3, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 4, 0, 3, 2, 0, 2, 3, 3, 4, 1, 3, 1, 4, 4, 1, 3, 1, 1, 0, 4, 1, 3, 1, 3, 3, 4, 0, 2, 0, 4, 3, 1, 0, 3, 4, 1, 1, 2, 4, 0, 1, 0, 4, 3, 0, 4, 0, 0, 4, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 4, 3, 1, 0, 0, 4, 1, 1, 4, 4, 2, 0, 0, 1, 2, 1, 2, 1, 4, 4, 0, 4, 1, 4, 1, 0, 3, 1, 1, 2, 3, 3, 1, 2, 1, 3, 4, 2, 0, 1, 1, 2, 3, 2, 1, 4, 0, 4, 2, 4, 2, 3, 1, 2, 3, 3, 3, 1, 4, 4, 1, 1, 3, 1, 2, 4, 4, 4, 3, 1, 0]
pubkeycol1021 = [2, 3, 4, 4, 4, 2, 2, 1, 3, 1, 2, 1, 3, 1, 1, 0, 0, 2, 4, 1, 0, 3, 2, 0, 1, 3, 2, 2, 1, 2, 4, 2, 3, 2, 1, 3, 3, 1, 2, 4, 0, 2, 0, 2, 1, 4, 0, 1, 3, 0, 2, 2, 3, 3, 1, 3, 3, 2, 2, 1, 3, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 4, 4, 3, 0, 2, 0, 3, 4, 1, 2, 0, 3, 3, 3, 2, 3, 2, 1, 3, 4, 2, 0, 4, 3, 1, 0, 2, 2, 4, 3, 0, 4, 0, 0, 1, 3, 1, 2, 1, 4, 4, 0, 0, 2, 3, 0, 2, 2, 3, 3, 4, 2, 1, 4, 3, 1, 3, 0, 2, 4, 2, 3, 2, 1, 4, 3, 0, 0, 4, 4, 0, 1, 4, 4, 0, 1, 3, 4, 2, 0, 2, 2, 4, 0, 0, 2, 2, 2, 1, 0, 2, 3, 1, 2, 2, 1, 1, 1, 4, 2, 0, 3, 2, 0, 1, 2, 4, 3, 2, 1, 2, 4, 0, 4, 4, 4, 4, 2, 2, 2, 0, 4, 3, 0, 4, 3, 1, 0, 0, 0, 3, 1, 0, 0, 0, 3, 4, 0, 1, 4, 0, 1, 0, 0, 1, 3, 1, 1, 3, 0, 2, 4, 1, 2, 4, 1, 4, 3, 1, 1, 2, 3, 1, 0, 4, 1, 4, 1, 4, 2, 4, 4, 1, 0, 1, 1, 0, 4, 0, 2, 4, 2, 0, 4, 3, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 4, 4, 1, 1, 3, 0, 2, 4, 4, 4, 4, 1, 0, 0, 0, 3, 3, 3, 2, 2, 0, 1, 1, 1, 3, 3, 1, 2, 4, 2, 3, 4, 3, 3, 1, 3, 4, 1, 1, 3, 1, 1, 3, 1, 0, 0, 3, 0, 0, 4]
pubkeycol1022 = [0, 2, 2, 4, 3, 0, 4, 1, 4, 4, 1, 4, 3, 2, 3, 1, 1, 4, 0, 4, 3, 4, 1, 2, 1, 2, 4, 4, 4, 1, 1, 3, 0, 3, 3, 0, 0, 4, 2, 3, 4, 3, 3, 4, 1, 4, 4, 0, 0, 4, 0, 1, 2, 0, 1, 1, 3, 1, 1, 2, 4, 0, 0, 0, 3, 1, 3, 2, 0, 4, 2, 2, 2, 3, 3, 4, 3, 3, 1, 2, 1, 0, 0, 4, 0, 2, 0, 1, 0, 4, 1, 3, 1, 0, 0, 3, 2, 2, 0, 1, 4, 1, 4, 4, 4, 1, 2, 3, 2, 2, 2, 4, 2, 1, 3, 2, 1, 1, 4, 2, 0, 3, 4, 1, 0, 1, 3, 0, 0, 3, 4, 3, 2, 0, 3, 2, 3, 0, 0, 1, 3, 3, 2, 1, 1, 4, 0, 4, 1, 2, 3, 4, 0, 1, 2, 1, 4, 4, 3, 0, 3, 4, 1, 4, 0, 3, 2, 1, 4, 0, 4, 3, 3, 1, 3, 4, 1, 3, 3, 2, 4, 4, 0, 1, 3, 2, 2, 4, 4, 3, 1, 1, 4, 4, 3, 2, 0, 2, 1, 1, 1, 1, 3, 1, 3, 1, 2, 0, 0, 4, 0, 1, 2, 4, 0, 0, 1, 1, 1, 3, 2, 1, 2, 3, 1, 0, 4, 3, 2, 3, 0, 1, 0, 3, 2, 3, 4, 4, 2, 1, 4, 3, 0, 4, 2, 0, 3, 4, 0, 2, 4, 0, 0, 2, 0, 1, 1, 2, 3, 0, 3, 2, 2, 0, 2, 4, 1, 1, 1, 4, 4, 1, 2, 2, 0, 2, 3, 3, 2, 3, 3, 1, 3, 2, 0, 2, 1, 3, 2, 2, 2, 4, 1, 4, 1, 3, 2, 0, 3, 2, 3, 1, 0, 0, 1, 3, 1, 0, 2, 2, 2, 3, 4, 0, 0, 0, 1, 1, 4, 0]
pubkeycol1023 = [3, 0, 4, 4, 1, 3, 3, 4, 3, 3, 3, 3, 2, 0, 4, 0, 2, 1, 1, 1, 1, 4, 3, 4, 1, 0, 0, 4, 2, 3, 3, 0, 3, 0, 3, 2, 2, 4, 0, 2, 1, 1, 3, 3, 2, 1, 0, 2, 3, 1, 1, 4, 3, 4, 1, 3, 3, 3, 0, 1, 1, 1, 2, 3, 3, 0, 4, 4, 4, 4, 0, 3, 2, 0, 1, 3, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 3, 4, 2, 0, 3, 3, 3, 4, 1, 3, 0, 4, 3, 1, 0, 3, 1, 1, 1, 4, 2, 0, 0, 4, 3, 1, 4, 0, 1, 0, 3, 4, 2, 4, 0, 4, 0, 1, 1, 1, 3, 4, 1, 3, 2, 2, 0, 3, 4, 3, 3, 1, 3, 3, 4, 2, 4, 2, 0, 1, 1, 4, 3, 0, 1, 0, 4, 2, 3, 0, 1, 2, 0, 4, 3, 3, 3, 2, 4, 0, 3, 3, 4, 1, 4, 2, 3, 4, 3, 3, 4, 1, 3, 1, 4, 0, 1, 3, 0, 2, 2, 0, 2, 3, 0, 2, 1, 1, 1, 4, 2, 4, 0, 1, 0, 0, 1, 0, 2, 4, 3, 2, 3, 4, 4, 3, 1, 2, 3, 4, 3, 3, 3, 1, 2, 3, 1, 1, 0, 2, 3, 3, 3, 4, 3, 2, 2, 0, 3, 1, 3, 0, 3, 4, 4, 0, 3, 4, 0, 0, 1, 1, 2, 0, 3, 1, 0, 3, 2, 1, 1, 4, 1, 4, 1, 0, 3, 2, 2, 0, 1, 4, 2, 3, 0, 3, 2, 3, 4, 0, 4, 1, 0, 3, 3, 4, 3, 4, 1, 0, 4, 2, 3, 2, 1, 1, 2, 1, 4, 4, 0, 4, 0, 1, 2, 2, 1, 4, 1, 4, 4, 3, 3, 3, 2, 2, 4, 0, 2, 2, 0, 4, 0, 3]
pubkeycol1024 = [0, 3, 4, 4, 0, 3, 4, 3, 1, 1, 1, 0, 0, 3, 4, 2, 0, 1, 1, 0, 0, 0, 0, 4, 1, 4, 2, 4, 4, 0, 0, 3, 3, 4, 2, 1, 0, 3, 4, 3, 4, 1, 3, 0, 0, 4, 4, 4, 3, 1, 1, 3, 1, 0, 0, 4, 0, 2, 1, 4, 2, 4, 2, 3, 3, 4, 0, 2, 0, 3, 1, 1, 0, 2, 4, 2, 2, 0, 1, 1, 0, 0, 2, 3, 1, 4, 4, 1, 0, 3, 4, 2, 0, 1, 3, 0, 0, 1, 2, 2, 4, 3, 4, 1, 2, 2, 0, 2, 1, 1, 3, 2, 1, 3, 3, 4, 4, 4, 1, 0, 0, 1, 3, 1, 4, 0, 3, 2, 0, 0, 1, 3, 2, 2, 0, 1, 2, 4, 1, 1, 3, 4, 2, 0, 2, 0, 2, 2, 1, 1, 3, 3, 0, 1, 0, 4, 1, 4, 0, 0, 0, 2, 1, 0, 1, 3, 1, 0, 3, 3, 0, 1, 4, 1, 0, 2, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 2, 3, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 2, 4, 0, 3, 0, 0, 2, 0, 4, 4, 1, 1, 2, 3, 0, 4, 3, 3, 4, 3, 0, 2, 1, 4, 3, 0, 0, 3, 1, 2, 4, 4, 0, 1, 2, 3, 0, 3, 1, 1, 2, 0, 4, 3, 1, 3, 2, 2, 1, 2, 0, 4, 2, 4, 4, 1, 2, 2, 4, 2, 0, 1, 4, 4, 2, 4, 1, 4, 1, 4, 2, 2, 1, 0, 1, 1, 4, 4, 2, 0, 2, 0, 0, 0, 4, 2, 3, 2, 0, 4, 4, 4, 3, 3, 1, 0, 0, 4, 0, 3, 2, 2, 4, 4, 2, 0, 3, 2, 0, 4, 2, 4, 2, 3, 4, 1, 2, 3, 2, 3, 4]
pubkeycol1025 = [0, 2, 2, 3, 4, 1, 2, 1, 0, 2, 1, 3, 2, 2, 4, 0, 1, 4, 1, 1, 1, 2, 4, 0, 0, 2, 4, 1, 3, 4, 1, 3, 4, 1, 0, 2, 0, 0, 0, 2, 4, 0, 4, 2, 3, 4, 3, 0, 0, 3, 3, 0, 4, 1, 0, 3, 3, 1, 3, 0, 0, 0, 3, 0, 3, 1, 2, 0, 2, 2, 3, 0, 4, 1, 4, 4, 2, 4, 2, 2, 4, 4, 3, 2, 0, 2, 0, 2, 3, 2, 3, 4, 1, 3, 0, 3, 1, 1, 3, 2, 4, 2, 2, 4, 4, 1, 0, 2, 2, 2, 4, 0, 1, 3, 3, 2, 3, 0, 3, 0, 2, 1, 1, 1, 0, 4, 0, 0, 1, 2, 4, 3, 2, 3, 2, 3, 1, 0, 1, 3, 0, 1, 1, 4, 2, 1, 1, 0, 4, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 4, 0, 4, 1, 0, 4, 3, 4, 4, 1, 0, 2, 2, 1, 1, 2, 1, 2, 3, 4, 3, 3, 4, 3, 0, 3, 0, 0, 4, 1, 1, 3, 4, 3, 4, 0, 4, 1, 0, 4, 3, 1, 4, 3, 0, 2, 2, 3, 2, 3, 1, 4, 1, 0, 4, 1, 2, 1, 2, 3, 4, 4, 1, 1, 4, 1, 1, 4, 2, 1, 2, 3, 1, 1, 2, 2, 1, 4, 2, 0, 3, 3, 3, 2, 2, 4, 0, 4, 2, 2, 1, 2, 3, 1, 1, 2, 3, 0, 4, 1, 0, 1, 3, 2, 4, 0, 2, 1, 2, 2, 4, 3, 2, 4, 4, 4, 4, 2, 3, 3, 2, 0, 2, 0, 4, 2, 2, 0, 1, 0, 0, 4, 0, 2, 1, 0, 3, 1, 2, 0, 1, 3, 2, 0, 1, 3, 4, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 3, 4, 0, 3]
pubkeycol1026 = [0, 3, 2, 3, 1, 0, 4, 4, 2, 3, 2, 1, 2, 1, 2, 2, 2, 3, 1, 2, 3, 2, 2, 4, 4, 4, 1, 3, 0, 0, 2, 0, 3, 3, 2, 2, 4, 2, 3, 1, 3, 4, 1, 4, 4, 4, 2, 4, 0, 2, 0, 1, 4, 4, 0, 0, 0, 4, 0, 0, 2, 4, 1, 4, 2, 2, 4, 0, 2, 1, 0, 1, 4, 0, 0, 4, 1, 3, 2, 0, 3, 2, 4, 0, 2, 4, 2, 1, 3, 4, 2, 3, 2, 3, 3, 0, 1, 0, 0, 3, 0, 1, 1, 2, 0, 0, 1, 3, 1, 2, 0, 1, 4, 1, 0, 2, 2, 1, 0, 3, 2, 4, 3, 2, 0, 3, 3, 4, 4, 4, 3, 3, 0, 3, 2, 2, 0, 4, 0, 3, 2, 4, 2, 4, 1, 2, 4, 1, 2, 0, 0, 1, 2, 3, 4, 3, 2, 4, 0, 3, 0, 0, 1, 4, 3, 1, 1, 3, 1, 4, 3, 0, 1, 2, 2, 4, 4, 3, 2, 3, 3, 0, 4, 2, 4, 4, 2, 0, 3, 0, 4, 2, 2, 4, 0, 2, 2, 1, 4, 0, 3, 0, 1, 2, 0, 1, 4, 4, 2, 1, 4, 3, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 3, 0, 4, 1, 1, 0, 4, 2, 1, 3, 3, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 3, 2, 4, 2, 0, 2, 3, 4, 4, 3, 0, 1, 4, 4, 3, 4, 2, 3, 2, 3, 1, 3, 0, 2, 2, 3, 2, 1, 4, 0, 3, 4, 3, 2, 1, 4, 0, 1, 2, 0, 0, 4, 1, 2, 3, 1, 2, 1, 4, 1, 3, 1, 1, 3, 1, 0, 2, 0, 3, 3, 3, 4, 0, 2, 1, 1, 3, 4, 3, 0, 0, 0, 1, 3]
pubkeycol1027 = [4, 0, 0, 3, 1, 3, 1, 4, 0, 2, 2, 4, 4, 1, 0, 2, 0, 4, 4, 2, 0, 4, 1, 4, 1, 1, 2, 2, 1, 2, 0, 3, 3, 3, 2, 3, 4, 1, 0, 3, 3, 1, 0, 0, 1, 0, 0, 4, 4, 2, 1, 2, 4, 2, 1, 3, 2, 3, 1, 0, 2, 4, 1, 4, 1, 3, 4, 1, 1, 4, 0, 0, 2, 2, 0, 1, 1, 3, 4, 1, 0, 2, 3, 1, 3, 1, 2, 0, 3, 1, 3, 0, 4, 2, 3, 1, 0, 4, 4, 0, 2, 1, 2, 4, 4, 3, 0, 1, 0, 0, 0, 2, 4, 3, 3, 0, 4, 3, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 3, 4, 3, 0, 3, 4, 1, 1, 4, 4, 0, 2, 4, 2, 0, 0, 3, 4, 3, 0, 3, 4, 0, 3, 0, 4, 2, 2, 4, 2, 3, 1, 3, 3, 4, 1, 3, 0, 4, 4, 1, 2, 4, 2, 0, 0, 0, 4, 3, 2, 4, 3, 2, 0, 3, 0, 0, 1, 2, 4, 4, 0, 4, 3, 2, 3, 0, 2, 4, 0, 1, 3, 2, 2, 4, 1, 0, 4, 2, 4, 4, 2, 1, 0, 3, 3, 0, 0, 3, 1, 1, 3, 1, 0, 2, 0, 2, 2, 0, 0, 4, 1, 2, 3, 1, 3, 0, 1, 3, 0, 2, 0, 4, 2, 0, 4, 1, 3, 3, 2, 4, 2, 4, 3, 4, 0, 1, 4, 2, 1, 2, 2, 2, 2, 0, 3, 4, 2, 3, 1, 1, 0, 1, 0, 0, 1, 0, 2, 4, 0, 2, 4, 3, 2, 2, 4, 1, 1, 2, 3, 3, 1, 2, 0, 0, 3, 0, 0, 0, 2, 2, 1, 1, 3, 1, 0, 4, 1, 1, 0, 2, 1, 1, 4, 1, 0, 2, 0, 3, 1]
pubkeycol1028 = [4, 4, 1, 3, 2, 4, 0, 4, 0, 2, 0, 2, 1, 3, 0, 0, 2, 2, 3, 2, 2, 4, 4, 2, 4, 4, 0, 3, 0, 1, 4, 0, 4, 4, 0, 1, 3, 1, 2, 0, 0, 4, 4, 3, 1, 4, 0, 4, 0, 1, 0, 2, 2, 3, 3, 0, 1, 4, 3, 2, 1, 0, 1, 1, 4, 2, 4, 1, 4, 4, 3, 4, 3, 4, 4, 0, 1, 3, 0, 3, 0, 4, 3, 1, 2, 3, 0, 3, 4, 4, 0, 0, 4, 2, 1, 4, 0, 3, 4, 3, 2, 4, 4, 4, 4, 0, 3, 1, 2, 4, 2, 1, 3, 0, 2, 3, 4, 2, 2, 4, 2, 2, 0, 1, 3, 0, 1, 1, 0, 4, 4, 4, 2, 0, 2, 2, 2, 1, 1, 0, 1, 4, 3, 3, 1, 0, 2, 4, 0, 3, 1, 4, 0, 2, 3, 1, 4, 3, 0, 2, 2, 4, 1, 1, 0, 1, 3, 1, 0, 3, 3, 1, 0, 3, 1, 3, 4, 4, 1, 3, 4, 1, 1, 3, 0, 2, 3, 4, 3, 3, 1, 1, 3, 3, 0, 4, 4, 1, 2, 3, 1, 1, 3, 0, 0, 0, 1, 4, 0, 3, 3, 4, 4, 0, 1, 0, 1, 2, 0, 2, 0, 4, 0, 3, 0, 1, 2, 4, 1, 4, 2, 1, 1, 2, 1, 4, 2, 3, 0, 1, 4, 4, 2, 1, 0, 4, 4, 0, 4, 3, 2, 4, 0, 0, 3, 4, 4, 2, 0, 3, 3, 2, 4, 3, 0, 1, 0, 1, 0, 0, 1, 0, 4, 0, 1, 2, 3, 0, 3, 1, 1, 2, 1, 0, 1, 3, 2, 0, 3, 1, 0, 2, 3, 4, 4, 0, 3, 3, 1, 1, 0, 0, 0, 2, 3, 0, 4, 4, 0, 1, 3, 3, 3, 4, 1, 4, 2, 0, 1, 3]
pubkeycol1029 = [1, 0, 0, 4, 1, 1, 0, 0, 1, 4, 1, 3, 4, 2, 4, 2, 3, 3, 4, 4, 1, 1, 4, 3, 1, 3, 4, 2, 1, 3, 3, 1, 2, 0, 3, 1, 0, 2, 0, 2, 0, 2, 1, 3, 0, 3, 1, 3, 1, 4, 0, 0, 4, 2, 4, 1, 4, 2, 4, 1, 3, 2, 2, 2, 4, 2, 4, 3, 3, 1, 1, 0, 2, 1, 3, 1, 0, 1, 4, 1, 3, 3, 4, 0, 2, 0, 4, 0, 1, 3, 0, 1, 4, 2, 1, 2, 4, 3, 4, 2, 4, 1, 0, 0, 2, 0, 1, 4, 4, 1, 4, 3, 4, 1, 4, 3, 2, 0, 4, 0, 0, 4, 0, 1, 3, 3, 4, 1, 0, 0, 3, 4, 2, 0, 0, 1, 1, 2, 0, 2, 3, 0, 4, 4, 3, 2, 4, 0, 4, 0, 4, 2, 3, 4, 4, 1, 3, 3, 2, 0, 0, 4, 2, 3, 4, 2, 0, 4, 1, 2, 4, 2, 3, 0, 1, 1, 3, 4, 4, 0, 3, 4, 3, 1, 4, 1, 0, 4, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 2, 1, 1, 4, 3, 4, 2, 4, 3, 3, 1, 4, 1, 3, 4, 2, 2, 3, 3, 3, 3, 0, 4, 2, 3, 0, 1, 3, 0, 0, 1, 4, 4, 3, 1, 4, 1, 2, 3, 0, 1, 0, 0, 3, 1, 0, 0, 4, 1, 1, 4, 1, 2, 0, 3, 3, 2, 3, 4, 3, 1, 4, 3, 4, 3, 4, 2, 4, 1, 0, 4, 0, 2, 0, 3, 3, 4, 0, 2, 1, 1, 0, 4, 3, 3, 3, 3, 0, 2, 1, 0, 4, 2, 2, 4, 3, 2, 2, 4, 2, 2, 4, 2, 1, 0, 0, 3, 3, 0, 0, 1, 0, 4, 2, 3, 1, 4, 2, 1, 4, 2]
pubkeycol1030 = [2, 3, 4, 1, 3, 2, 4, 3, 1, 2, 4, 4, 3, 2, 0, 1, 1, 3, 2, 1, 0, 2, 4, 3, 2, 1, 0, 0, 0, 0, 2, 4, 1, 0, 0, 4, 2, 0, 1, 4, 3, 2, 0, 3, 3, 3, 4, 3, 2, 2, 1, 3, 4, 1, 1, 4, 0, 0, 0, 4, 2, 0, 1, 0, 3, 4, 2, 1, 2, 0, 1, 1, 0, 0, 4, 0, 1, 3, 4, 0, 2, 3, 3, 4, 0, 4, 1, 4, 2, 1, 0, 2, 0, 2, 2, 0, 0, 3, 2, 3, 0, 3, 4, 1, 1, 1, 4, 2, 1, 0, 4, 2, 3, 2, 3, 4, 4, 1, 2, 2, 4, 2, 0, 4, 1, 4, 0, 1, 3, 4, 1, 3, 2, 3, 4, 1, 0, 4, 4, 1, 1, 3, 4, 0, 3, 2, 1, 0, 1, 1, 2, 2, 1, 0, 3, 3, 3, 0, 0, 4, 1, 0, 0, 1, 0, 3, 3, 4, 4, 2, 4, 1, 3, 3, 4, 4, 4, 1, 3, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 1, 2, 3, 2, 1, 4, 1, 3, 3, 2, 4, 1, 0, 3, 4, 4, 0, 0, 3, 0, 1, 0, 0, 2, 3, 3, 3, 4, 2, 0, 4, 4, 3, 3, 2, 4, 2, 1, 4, 4, 3, 3, 2, 1, 1, 0, 3, 0, 2, 3, 3, 3, 4, 2, 0, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 0, 3, 0, 1, 2, 0, 2, 3, 2, 2, 2, 4, 1, 4, 0, 3, 3, 3, 0, 3, 0, 4, 0, 0, 4, 4, 0, 0, 3, 2, 4, 1, 3, 1, 1, 3, 1, 1, 1, 4, 0, 1, 0, 3, 0, 2, 0, 0, 3, 2, 0, 4, 4, 1, 3, 0, 2, 3, 4, 3, 4, 0, 0, 0, 4]
pubkeycol1031 = [2, 4, 2, 3, 3, 3, 3, 4, 0, 1, 0, 1, 4, 1, 4, 4, 0, 0, 0, 3, 3, 4, 1, 4, 3, 1, 4, 4, 2, 4, 0, 2, 3, 4, 3, 2, 2, 1, 1, 0, 1, 2, 0, 3, 1, 0, 0, 2, 2, 2, 1, 3, 1, 4, 4, 4, 3, 0, 3, 2, 4, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 3, 4, 4, 1, 4, 4, 4, 1, 3, 4, 0, 0, 4, 3, 4, 2, 3, 0, 1, 0, 0, 3, 2, 2, 2, 1, 0, 3, 1, 0, 4, 0, 2, 2, 4, 4, 1, 0, 0, 4, 2, 2, 0, 2, 3, 3, 1, 1, 2, 0, 2, 1, 4, 3, 0, 2, 4, 2, 2, 3, 4, 4, 3, 1, 2, 4, 4, 0, 2, 3, 0, 1, 1, 3, 4, 0, 4, 3, 4, 4, 3, 4, 2, 0, 4, 0, 0, 3, 4, 2, 4, 0, 3, 2, 2, 2, 2, 4, 4, 3, 3, 2, 4, 2, 1, 1, 4, 2, 0, 4, 2, 4, 2, 4, 3, 0, 3, 4, 0, 3, 2, 4, 2, 3, 4, 3, 0, 0, 0, 3, 0, 4, 1, 4, 2, 3, 4, 2, 3, 4, 4, 1, 0, 0, 4, 3, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 3, 0, 1, 0, 0, 0, 4, 1, 0, 0, 4, 4, 3, 0, 2, 1, 1, 2, 4, 2, 0, 4, 0, 0, 2, 0, 2, 4, 0, 4, 0, 3, 2, 4, 1, 1, 2, 4, 1, 0, 4, 4, 4, 3, 2, 4, 0, 2, 4, 1, 3, 4, 3, 3, 4, 0, 0, 3, 4, 2, 0, 0, 4, 2, 4, 1, 3, 3, 3, 1, 4, 1, 3, 1, 0, 4, 3, 4, 0, 3, 1, 2, 2, 4, 1, 4, 2, 1, 0, 3]
pubkeycol1032 = [3, 4, 2, 3, 1, 1, 0, 4, 2, 0, 1, 1, 0, 2, 3, 2, 2, 1, 0, 1, 0, 2, 4, 2, 4, 0, 4, 1, 3, 1, 3, 3, 4, 1, 4, 0, 3, 2, 3, 1, 0, 4, 3, 2, 2, 1, 3, 1, 0, 0, 4, 4, 1, 4, 4, 2, 4, 2, 2, 2, 0, 2, 3, 3, 2, 4, 4, 1, 1, 3, 4, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 3, 3, 4, 4, 0, 3, 0, 3, 1, 1, 1, 4, 3, 1, 3, 4, 3, 0, 2, 0, 1, 3, 1, 4, 3, 0, 1, 3, 0, 2, 4, 2, 0, 4, 2, 3, 4, 0, 4, 2, 4, 0, 0, 0, 0, 3, 2, 1, 1, 1, 2, 1, 4, 1, 4, 1, 2, 1, 4, 3, 2, 4, 0, 4, 4, 1, 1, 3, 4, 3, 2, 2, 1, 2, 1, 4, 1, 3, 3, 2, 4, 3, 4, 3, 3, 1, 3, 1, 0, 3, 2, 0, 2, 3, 3, 2, 4, 0, 4, 2, 2, 0, 0, 2, 1, 0, 0, 2, 3, 4, 4, 0, 2, 3, 0, 2, 2, 4, 2, 0, 4, 3, 2, 3, 0, 3, 2, 4, 3, 2, 0, 0, 0, 3, 1, 2, 3, 4, 4, 0, 0, 2, 3, 1, 3, 4, 1, 4, 3, 0, 0, 1, 1, 4, 0, 3, 4, 4, 4, 0, 0, 3, 1, 4, 0, 0, 2, 2, 2, 3, 0, 2, 2, 1, 4, 0, 3, 0, 3, 0, 2, 1, 2, 2, 1, 1, 1, 4, 2, 1, 0, 2, 0, 2, 3, 2, 4, 1, 1, 1, 2, 3, 0, 2, 0, 2, 3, 1, 4, 2, 3, 2, 1, 3, 1, 3, 4, 4, 2, 2, 3, 4, 2, 3, 3, 3, 1, 0, 2, 3, 3, 3, 2, 0, 4, 2, 0]
pubkeycol1033 = [1, 0, 4, 2, 2, 3, 0, 0, 0, 1, 0, 3, 2, 2, 4, 4, 2, 0, 4, 4, 2, 3, 0, 1, 1, 4, 2, 3, 0, 1, 2, 0, 1, 3, 1, 1, 4, 0, 2, 1, 4, 4, 3, 4, 3, 0, 0, 2, 1, 0, 4, 3, 4, 2, 0, 3, 3, 1, 3, 4, 4, 0, 1, 2, 1, 2, 3, 3, 4, 2, 1, 4, 1, 3, 1, 3, 4, 0, 2, 2, 3, 1, 1, 3, 2, 0, 2, 1, 0, 4, 1, 3, 1, 1, 2, 0, 2, 1, 4, 2, 3, 0, 0, 0, 1, 0, 2, 1, 4, 4, 1, 3, 1, 1, 3, 4, 0, 3, 3, 0, 3, 1, 0, 0, 4, 4, 2, 0, 1, 2, 4, 1, 0, 0, 2, 0, 4, 0, 0, 3, 4, 3, 2, 3, 0, 2, 0, 4, 1, 0, 3, 0, 3, 4, 1, 1, 3, 4, 4, 1, 2, 3, 3, 1, 0, 4, 3, 1, 1, 2, 1, 4, 1, 4, 2, 3, 0, 0, 1, 0, 0, 1, 0, 3, 1, 4, 0, 2, 2, 3, 0, 1, 1, 4, 3, 2, 1, 4, 4, 3, 2, 0, 4, 0, 0, 0, 4, 3, 4, 3, 1, 2, 1, 0, 3, 1, 4, 2, 3, 4, 2, 1, 4, 1, 0, 1, 2, 3, 2, 0, 3, 3, 0, 2, 4, 3, 4, 3, 3, 1, 3, 4, 4, 2, 2, 3, 1, 1, 1, 0, 4, 2, 3, 1, 0, 2, 2, 1, 0, 0, 1, 2, 4, 1, 0, 1, 1, 0, 1, 3, 4, 2, 1, 1, 0, 0, 4, 4, 3, 3, 1, 3, 4, 1, 3, 1, 2, 4, 3, 3, 0, 0, 4, 0, 1, 4, 0, 4, 3, 1, 0, 0, 2, 2, 4, 3, 4, 3, 0, 3, 1, 0, 3, 2, 1, 3, 4, 0, 1, 4]
pubkeycol1034 = [2, 2, 4, 1, 2, 4, 2, 4, 1, 0, 4, 1, 3, 4, 2, 0, 2, 1, 3, 4, 3, 3, 4, 1, 1, 1, 1, 3, 0, 2, 0, 1, 2, 2, 3, 1, 0, 3, 2, 4, 4, 2, 0, 1, 3, 1, 0, 1, 0, 4, 3, 3, 1, 4, 3, 1, 2, 1, 1, 4, 0, 4, 1, 2, 3, 2, 3, 0, 0, 3, 0, 0, 0, 2, 1, 4, 3, 2, 3, 0, 0, 2, 4, 4, 4, 3, 1, 0, 2, 2, 4, 4, 4, 1, 3, 0, 1, 0, 0, 0, 3, 2, 0, 1, 2, 4, 1, 4, 1, 4, 2, 0, 2, 2, 1, 3, 1, 3, 3, 0, 1, 0, 3, 0, 0, 0, 1, 1, 0, 3, 4, 4, 2, 0, 2, 0, 0, 4, 4, 0, 1, 0, 4, 4, 4, 1, 0, 0, 2, 2, 2, 2, 3, 1, 0, 2, 0, 4, 0, 2, 2, 3, 0, 2, 4, 0, 2, 0, 1, 0, 1, 4, 1, 0, 3, 3, 4, 3, 0, 3, 1, 2, 0, 4, 4, 1, 1, 2, 0, 1, 4, 1, 2, 1, 2, 4, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 1, 4, 3, 0, 4, 1, 1, 4, 1, 3, 4, 0, 0, 0, 0, 0, 3, 4, 3, 4, 1, 0, 1, 2, 4, 4, 0, 4, 4, 2, 0, 1, 2, 3, 2, 4, 0, 3, 4, 4, 0, 1, 3, 1, 2, 2, 0, 0, 3, 3, 3, 1, 3, 3, 1, 2, 0, 3, 4, 2, 4, 0, 0, 3, 1, 3, 1, 3, 0, 3, 0, 2, 3, 2, 3, 1, 0, 1, 4, 4, 0, 0, 4, 2, 0, 2, 3, 1, 0, 3, 0, 3, 3, 2, 3, 0, 4, 4, 0, 2, 1, 1, 4, 4]
pubkeycol1035 = [0, 0, 0, 3, 0, 0, 4, 2, 0, 1, 3, 2, 2, 3, 2, 2, 1, 0, 2, 3, 3, 4, 2, 0, 2, 0, 4, 2, 3, 1, 4, 1, 4, 2, 0, 4, 4, 1, 1, 0, 0, 2, 2, 2, 3, 4, 3, 2, 0, 0, 1, 4, 3, 0, 1, 3, 4, 3, 1, 0, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 0, 1, 2, 0, 4, 0, 3, 3, 1, 2, 2, 1, 3, 3, 4, 0, 2, 3, 2, 2, 3, 1, 1, 2, 1, 1, 0, 3, 2, 1, 1, 1, 0, 1, 3, 4, 2, 2, 2, 1, 4, 2, 0, 0, 1, 3, 2, 2, 1, 0, 2, 1, 2, 2, 3, 4, 4, 2, 3, 4, 3, 4, 4, 1, 1, 3, 3, 2, 2, 4, 1, 4, 4, 1, 3, 3, 3, 3, 4, 1, 1, 3, 0, 2, 1, 2, 0, 1, 4, 0, 2, 0, 1, 4, 4, 0, 4, 4, 1, 1, 4, 2, 2, 3, 1, 3, 3, 1, 4, 3, 4, 4, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 3, 4, 1, 2, 4, 2, 3, 2, 0, 1, 0, 2, 1, 4, 3, 0, 1, 1, 0, 4, 0, 2, 0, 1, 2, 3, 2, 2, 4, 2, 1, 2, 1, 4, 2, 2, 1, 1, 3, 3, 0, 4, 2, 0, 0, 4, 2, 1, 1, 0, 1, 0, 4, 1, 1, 0, 4, 1, 3, 0, 1, 2, 4, 3, 3, 4, 1, 2, 3, 1, 1, 4, 4, 3, 2, 0, 0, 3, 1, 4, 3, 3, 0, 3, 0, 1, 1, 1, 0, 2, 0, 0, 0, 3, 0, 0, 2, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 0, 2, 4, 2, 3, 3, 4, 1, 1, 3, 4, 0, 1, 0, 1, 4, 3]
pubkeycol1036 = [2, 0, 4, 2, 2, 1, 4, 3, 1, 3, 2, 2, 2, 2, 2, 2, 4, 2, 1, 2, 0, 1, 0, 4, 2, 2, 1, 3, 2, 2, 0, 3, 1, 2, 4, 0, 2, 2, 0, 4, 3, 1, 1, 1, 3, 2, 2, 2, 2, 4, 1, 2, 0, 3, 4, 4, 1, 1, 4, 2, 1, 2, 3, 3, 3, 3, 2, 0, 4, 2, 4, 1, 4, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 4, 1, 4, 1, 0, 4, 4, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 3, 2, 1, 0, 2, 0, 1, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 1, 0, 4, 3, 1, 0, 2, 3, 1, 0, 4, 3, 0, 3, 1, 4, 3, 1, 3, 3, 4, 1, 3, 2, 3, 0, 0, 4, 0, 2, 4, 1, 4, 4, 1, 0, 0, 0, 2, 4, 4, 1, 0, 0, 3, 1, 3, 0, 1, 0, 4, 3, 1, 3, 2, 4, 0, 3, 3, 0, 0, 1, 1, 1, 3, 1, 4, 0, 4, 4, 4, 1, 4, 2, 1, 4, 1, 1, 0, 0, 2, 4, 0, 3, 3, 1, 4, 1, 2, 1, 0, 0, 3, 2, 3, 1, 0, 4, 2, 3, 1, 1, 0, 4, 1, 3, 3, 2, 4, 1, 4, 3, 3, 2, 0, 1, 1, 1, 4, 3, 1, 2, 2, 0, 4, 2, 4, 1, 4, 3, 4, 2, 3, 4, 4, 2, 0, 1, 2, 3, 2, 3, 2, 1, 3, 3, 4, 4, 3, 3, 1, 4, 4, 0, 3, 4, 1, 4, 1, 3, 1, 1, 3, 0, 1, 2, 0, 2, 3, 4, 0, 4, 0, 2, 4, 4, 4, 4, 3, 4, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 4, 1, 4, 2, 2, 1, 1, 2, 3, 3, 4]
pubkeycol1037 = [3, 0, 4, 1, 0, 4, 1, 2, 0, 2, 4, 2, 0, 3, 0, 3, 1, 3, 4, 2, 0, 2, 1, 0, 2, 3, 3, 2, 0, 1, 1, 1, 0, 2, 4, 1, 1, 2, 3, 0, 2, 2, 1, 3, 1, 1, 0, 0, 1, 3, 0, 1, 2, 2, 1, 3, 3, 4, 1, 1, 0, 0, 3, 2, 2, 4, 4, 0, 2, 2, 1, 1, 4, 3, 3, 3, 0, 3, 0, 0, 4, 3, 0, 1, 1, 3, 0, 1, 2, 1, 0, 4, 1, 4, 4, 4, 4, 2, 3, 4, 2, 4, 0, 4, 4, 2, 1, 3, 3, 1, 0, 1, 2, 2, 1, 3, 0, 2, 3, 4, 2, 3, 1, 2, 2, 0, 1, 4, 2, 3, 4, 4, 0, 2, 3, 0, 3, 2, 1, 4, 4, 3, 0, 1, 0, 4, 3, 3, 0, 4, 4, 3, 0, 2, 2, 1, 3, 0, 4, 0, 2, 2, 0, 0, 3, 2, 0, 4, 3, 2, 2, 4, 2, 1, 0, 1, 1, 1, 2, 4, 0, 2, 0, 3, 4, 2, 3, 4, 0, 4, 0, 0, 2, 2, 3, 2, 1, 4, 2, 0, 2, 3, 4, 4, 2, 3, 2, 4, 0, 2, 0, 2, 1, 2, 3, 2, 3, 0, 2, 4, 2, 1, 0, 2, 1, 2, 0, 2, 1, 3, 0, 2, 1, 2, 0, 1, 1, 3, 4, 3, 0, 2, 0, 1, 1, 2, 4, 2, 4, 0, 3, 2, 0, 3, 2, 3, 0, 4, 2, 3, 0, 1, 1, 4, 1, 3, 3, 2, 1, 1, 2, 2, 0, 4, 4, 2, 2, 1, 4, 3, 0, 0, 3, 4, 3, 3, 0, 1, 2, 2, 2, 4, 3, 3, 0, 4, 1, 0, 3, 1, 4, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 4, 3, 1, 3, 2, 4, 2, 0]
pubkeycol1038 = [4, 3, 2, 1, 3, 1, 4, 4, 3, 4, 4, 0, 0, 1, 2, 4, 3, 4, 3, 3, 2, 0, 2, 1, 3, 0, 4, 2, 2, 1, 4, 1, 0, 4, 1, 4, 3, 2, 2, 3, 4, 2, 3, 4, 1, 2, 3, 2, 0, 3, 0, 4, 1, 2, 0, 0, 2, 1, 3, 1, 4, 3, 1, 2, 1, 4, 4, 4, 2, 4, 2, 0, 2, 2, 0, 1, 0, 1, 1, 3, 1, 0, 2, 1, 3, 3, 2, 0, 2, 0, 3, 0, 4, 1, 4, 0, 1, 1, 0, 1, 3, 0, 0, 0, 4, 1, 2, 4, 3, 3, 3, 4, 3, 3, 0, 4, 2, 2, 1, 2, 4, 0, 1, 2, 2, 0, 4, 0, 3, 1, 1, 1, 4, 4, 2, 1, 1, 2, 4, 3, 0, 0, 2, 1, 1, 3, 2, 1, 1, 2, 0, 0, 0, 4, 4, 3, 4, 4, 3, 4, 4, 1, 1, 3, 4, 1, 2, 1, 4, 3, 1, 1, 0, 3, 4, 4, 0, 1, 0, 0, 4, 4, 0, 0, 4, 3, 1, 4, 3, 3, 3, 3, 0, 4, 2, 4, 1, 4, 1, 4, 0, 0, 4, 4, 0, 2, 1, 0, 1, 3, 2, 4, 1, 0, 0, 4, 1, 0, 4, 1, 2, 4, 0, 1, 0, 3, 1, 0, 1, 4, 1, 2, 4, 1, 0, 0, 3, 1, 1, 0, 3, 4, 2, 2, 2, 0, 1, 0, 2, 1, 4, 4, 2, 1, 1, 4, 3, 4, 3, 0, 3, 4, 2, 1, 2, 4, 2, 0, 3, 2, 4, 0, 4, 3, 0, 0, 3, 4, 1, 2, 3, 0, 2, 3, 4, 0, 1, 1, 2, 0, 2, 2, 1, 4, 2, 0, 2, 0, 2, 2, 1, 1, 1, 3, 1, 1, 3, 1, 1, 2, 0, 1, 4, 4, 1, 0, 0, 0, 1, 2]
pubkeycol1039 = [3, 0, 1, 2, 0, 1, 3, 1, 0, 3, 2, 0, 1, 2, 4, 2, 3, 3, 1, 4, 2, 3, 3, 1, 0, 2, 0, 3, 1, 0, 1, 1, 0, 4, 3, 0, 4, 4, 1, 0, 0, 4, 1, 3, 3, 3, 0, 1, 2, 0, 4, 1, 3, 0, 3, 2, 1, 3, 3, 0, 3, 2, 1, 3, 4, 2, 0, 4, 3, 4, 3, 2, 1, 3, 1, 2, 0, 2, 0, 4, 1, 1, 0, 4, 2, 2, 2, 3, 3, 4, 4, 0, 0, 2, 1, 2, 1, 2, 3, 4, 4, 3, 3, 1, 3, 0, 1, 3, 0, 4, 0, 4, 1, 4, 2, 1, 0, 0, 3, 1, 0, 2, 0, 3, 2, 3, 2, 4, 3, 1, 2, 1, 1, 2, 3, 1, 2, 4, 0, 3, 2, 4, 4, 1, 2, 4, 1, 3, 0, 4, 2, 2, 0, 4, 2, 1, 4, 1, 1, 4, 3, 1, 4, 3, 1, 3, 0, 1, 0, 1, 4, 4, 3, 3, 1, 4, 4, 4, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 4, 1, 3, 4, 2, 1, 0, 2, 0, 4, 1, 0, 3, 2, 4, 4, 1, 0, 1, 0, 1, 0, 4, 0, 1, 2, 0, 2, 1, 0, 1, 3, 3, 3, 0, 0, 1, 2, 1, 2, 0, 2, 4, 3, 1, 1, 4, 4, 4, 3, 4, 0, 0, 4, 0, 1, 1, 1, 1, 4, 4, 4, 4, 1, 4, 2, 0, 4, 4, 2, 2, 0, 3, 2, 2, 4, 2, 0, 4, 1, 3, 3, 0, 4, 0, 4, 4, 0, 4, 4, 1, 3, 1, 3, 3, 1, 4, 3, 0, 2, 3, 0, 0, 0, 0, 2, 0, 0, 3, 0, 2, 4, 0, 3, 2, 1, 4, 2, 2, 3, 4, 4, 0, 0, 4, 3, 0, 3, 2, 2, 4, 1]
pubkeycol1040 = [1, 1, 3, 1, 3, 2, 1, 1, 3, 4, 0, 3, 1, 2, 1, 0, 4, 4, 0, 3, 3, 0, 0, 3, 2, 4, 2, 3, 2, 4, 0, 1, 2, 3, 1, 2, 2, 1, 3, 3, 2, 1, 2, 1, 1, 3, 1, 2, 4, 4, 3, 1, 1, 4, 4, 3, 0, 2, 2, 4, 0, 0, 4, 4, 3, 2, 0, 3, 3, 0, 2, 2, 4, 1, 2, 2, 0, 3, 2, 1, 0, 1, 0, 2, 3, 1, 2, 4, 4, 4, 4, 4, 2, 3, 4, 1, 1, 0, 1, 4, 2, 3, 0, 4, 2, 0, 1, 0, 0, 4, 4, 4, 1, 3, 0, 4, 3, 1, 1, 0, 3, 2, 0, 2, 4, 3, 4, 0, 2, 0, 1, 3, 1, 1, 2, 4, 3, 0, 3, 2, 0, 2, 2, 3, 1, 0, 0, 1, 2, 3, 1, 3, 0, 3, 2, 1, 1, 3, 0, 0, 4, 4, 0, 3, 3, 0, 4, 2, 1, 0, 2, 4, 2, 2, 0, 2, 2, 0, 3, 2, 1, 2, 2, 2, 4, 1, 4, 3, 0, 4, 4, 0, 4, 4, 0, 2, 2, 4, 1, 3, 1, 4, 3, 3, 4, 4, 0, 3, 1, 4, 0, 2, 4, 2, 2, 1, 3, 4, 2, 4, 2, 3, 2, 0, 0, 3, 4, 1, 1, 1, 3, 1, 3, 0, 3, 0, 3, 4, 3, 3, 3, 3, 0, 1, 0, 0, 0, 2, 3, 2, 3, 4, 4, 3, 1, 3, 4, 1, 3, 1, 1, 4, 0, 0, 2, 3, 1, 2, 3, 0, 2, 4, 0, 4, 0, 1, 0, 2, 1, 0, 2, 3, 4, 2, 0, 2, 1, 4, 4, 2, 0, 4, 2, 2, 3, 3, 3, 0, 1, 3, 3, 3, 0, 4, 2, 2, 3, 4, 1, 1, 3, 0, 2, 1, 4, 1, 2, 2, 0, 1]
pubkeycol1041 = [4, 2, 3, 1, 0, 0, 2, 3, 2, 2, 1, 3, 4, 4, 1, 1, 2, 4, 3, 1, 4, 1, 3, 2, 2, 0, 0, 0, 0, 1, 4, 4, 4, 0, 4, 4, 0, 0, 1, 4, 0, 0, 3, 4, 4, 3, 2, 2, 1, 2, 2, 1, 1, 3, 3, 2, 4, 1, 1, 3, 3, 3, 1, 3, 1, 3, 4, 2, 1, 2, 2, 2, 3, 1, 2, 4, 4, 1, 1, 4, 3, 0, 1, 3, 1, 4, 4, 0, 3, 1, 0, 3, 1, 0, 2, 4, 1, 2, 2, 4, 2, 1, 2, 4, 3, 0, 2, 4, 4, 2, 2, 1, 4, 0, 1, 2, 0, 3, 2, 4, 1, 4, 4, 2, 1, 4, 1, 1, 0, 3, 1, 0, 2, 1, 2, 3, 2, 0, 3, 2, 3, 0, 2, 4, 2, 1, 3, 4, 2, 0, 1, 4, 0, 0, 3, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 3, 3, 4, 3, 3, 4, 2, 0, 3, 2, 3, 1, 4, 2, 2, 1, 2, 2, 4, 0, 0, 1, 2, 1, 4, 2, 0, 3, 0, 3, 4, 1, 2, 1, 0, 2, 4, 1, 1, 3, 2, 1, 1, 3, 0, 0, 3, 0, 0, 3, 2, 2, 2, 1, 0, 3, 4, 0, 4, 2, 4, 1, 3, 2, 4, 2, 2, 3, 1, 0, 2, 4, 0, 1, 3, 0, 4, 1, 3, 4, 3, 3, 0, 0, 2, 1, 1, 0, 4, 2, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 2, 2, 0, 1, 0, 1, 2, 3, 0, 1, 0, 4, 2, 1, 0, 3, 2, 1, 1, 4, 4, 4, 1, 4, 2, 0, 0, 1, 4, 1, 1, 4, 3, 4, 0, 2, 1, 3, 2, 4, 2, 1, 0, 4, 2, 2, 0, 3, 3, 3, 0, 4, 1, 0, 4]
pubkeycol1042 = [3, 0, 3, 1, 3, 4, 2, 2, 1, 1, 0, 3, 3, 1, 1, 2, 1, 4, 3, 2, 1, 4, 3, 0, 2, 1, 1, 2, 4, 1, 4, 2, 0, 1, 4, 4, 0, 1, 2, 1, 2, 2, 4, 2, 2, 1, 3, 2, 0, 0, 3, 1, 4, 2, 4, 4, 0, 0, 3, 1, 0, 3, 3, 2, 4, 0, 0, 0, 1, 4, 3, 4, 2, 3, 4, 2, 4, 1, 0, 3, 3, 3, 0, 3, 3, 2, 3, 2, 1, 2, 4, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 1, 4, 3, 0, 3, 4, 1, 1, 0, 3, 2, 2, 3, 4, 3, 4, 2, 4, 4, 3, 0, 3, 2, 3, 2, 2, 1, 0, 1, 4, 3, 3, 3, 0, 4, 0, 1, 1, 4, 0, 0, 4, 1, 3, 3, 4, 4, 2, 1, 0, 4, 1, 1, 0, 4, 4, 4, 0, 1, 3, 0, 1, 0, 1, 2, 4, 4, 0, 4, 0, 0, 0, 1, 2, 4, 3, 2, 0, 1, 4, 0, 0, 4, 3, 2, 2, 0, 1, 3, 0, 0, 3, 4, 4, 3, 0, 0, 2, 0, 4, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 3, 2, 0, 2, 0, 2, 4, 0, 3, 4, 1, 3, 4, 4, 2, 3, 1, 0, 2, 3, 4, 2, 1, 3, 3, 3, 3, 0, 1, 3, 3, 0, 4, 4, 3, 0, 1, 2, 0, 3, 0, 2, 3, 2, 0, 3, 3, 0, 2, 2, 2, 4, 1, 1, 3, 4, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 0, 2, 3, 1, 0, 0, 0, 3, 1, 1, 0, 1, 4, 1, 4, 4, 0, 2, 4, 4, 2, 1, 3, 2, 4, 4, 3, 2, 4, 0, 3, 2, 4, 2, 4, 2, 4, 0]
pubkeycol1043 = [1, 4, 1, 0, 1, 4, 2, 3, 3, 4, 3, 2, 4, 4, 4, 2, 2, 0, 4, 4, 0, 1, 0, 3, 3, 2, 2, 0, 4, 2, 4, 2, 1, 4, 4, 2, 1, 3, 4, 0, 2, 2, 2, 0, 2, 3, 4, 1, 3, 2, 4, 4, 3, 2, 2, 1, 4, 0, 0, 3, 2, 2, 4, 0, 3, 2, 3, 2, 4, 0, 0, 3, 1, 3, 2, 3, 4, 2, 3, 4, 0, 2, 2, 1, 0, 0, 3, 3, 0, 1, 2, 3, 0, 3, 2, 1, 0, 0, 0, 1, 2, 2, 4, 0, 3, 2, 3, 4, 3, 2, 2, 4, 4, 4, 2, 0, 3, 2, 1, 2, 1, 2, 4, 2, 2, 1, 1, 1, 3, 1, 1, 3, 1, 3, 1, 2, 1, 1, 0, 1, 0, 4, 1, 2, 1, 1, 3, 0, 4, 1, 3, 2, 3, 0, 2, 1, 2, 0, 0, 2, 0, 2, 3, 4, 0, 2, 3, 1, 1, 1, 3, 3, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 3, 0, 4, 4, 3, 4, 0, 1, 2, 0, 2, 4, 3, 3, 3, 4, 2, 2, 4, 0, 2, 3, 4, 1, 3, 2, 4, 3, 3, 3, 1, 2, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 2, 3, 4, 3, 0, 1, 4, 2, 0, 2, 1, 2, 1, 0, 2, 1, 3, 3, 3, 4, 3, 2, 2, 1, 4, 0, 2, 4, 0, 4, 3, 0, 2, 2, 0, 0, 4, 2, 3, 0, 1, 0, 3, 1, 1, 2, 3, 1, 2, 3, 1, 1, 4, 0, 4, 3, 2, 0, 3, 1, 3, 0, 1, 3, 2, 0, 3, 3, 4, 3, 4, 4, 4, 2, 3, 2, 3, 1, 1, 4, 1, 0, 1, 3, 4, 3, 3, 0, 0, 1, 3, 1, 3, 4, 4]
pubkeycol1044 = [0, 2, 2, 2, 1, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 0, 4, 1, 1, 1, 3, 2, 2, 0, 3, 3, 1, 3, 3, 4, 1, 4, 2, 4, 0, 0, 2, 2, 1, 4, 3, 4, 1, 1, 0, 2, 4, 3, 2, 2, 1, 2, 2, 1, 3, 1, 0, 3, 2, 1, 4, 2, 1, 3, 1, 3, 4, 1, 4, 1, 3, 3, 0, 1, 2, 3, 3, 1, 4, 0, 1, 0, 4, 2, 1, 4, 0, 0, 1, 4, 1, 2, 0, 4, 0, 4, 3, 2, 2, 1, 0, 1, 3, 2, 0, 0, 1, 2, 0, 1, 3, 3, 4, 4, 4, 2, 3, 4, 3, 3, 0, 0, 1, 1, 3, 3, 1, 3, 0, 3, 2, 4, 2, 4, 0, 2, 2, 4, 2, 1, 1, 2, 2, 3, 1, 2, 4, 0, 3, 0, 2, 1, 0, 2, 0, 4, 1, 0, 0, 0, 3, 2, 3, 4, 4, 2, 4, 3, 2, 1, 4, 1, 0, 1, 2, 0, 2, 2, 1, 3, 4, 0, 3, 3, 4, 3, 1, 1, 0, 2, 1, 3, 3, 0, 0, 4, 1, 2, 1, 2, 0, 2, 2, 0, 4, 0, 3, 1, 3, 1, 0, 3, 2, 3, 2, 4, 0, 3, 2, 3, 1, 4, 0, 3, 2, 4, 1, 2, 1, 3, 2, 4, 4, 1, 4, 1, 4, 3, 0, 3, 0, 4, 4, 3, 2, 1, 2, 3, 2, 2, 0, 3, 3, 1, 2, 1, 1, 2, 4, 4, 0, 1, 0, 3, 1, 4, 3, 0, 3, 2, 0, 0, 4, 0, 3, 4, 1, 1, 4, 2, 3, 1, 2, 0, 0, 0, 2, 1, 2, 4, 2, 4, 1, 4, 1, 3, 3, 1, 4, 0, 3, 0, 1, 1, 3, 3, 4, 0, 1, 3, 3, 2, 4, 0, 2, 4, 3, 4, 2]
pubkeycol1045 = [3, 1, 1, 4, 4, 2, 3, 0, 4, 4, 3, 0, 3, 4, 2, 4, 3, 2, 1, 4, 3, 2, 2, 3, 0, 1, 4, 0, 4, 2, 0, 3, 3, 2, 0, 2, 3, 3, 0, 0, 4, 1, 4, 1, 3, 2, 0, 3, 3, 4, 4, 0, 4, 4, 0, 1, 1, 1, 2, 0, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 4, 0, 0, 4, 2, 0, 0, 2, 4, 2, 3, 2, 3, 0, 3, 1, 2, 2, 4, 0, 3, 4, 4, 3, 1, 2, 1, 2, 2, 0, 2, 1, 1, 4, 3, 4, 4, 3, 1, 1, 2, 4, 0, 0, 0, 3, 0, 2, 2, 2, 3, 3, 3, 2, 1, 4, 1, 0, 0, 4, 3, 0, 0, 2, 4, 3, 4, 3, 0, 0, 0, 2, 2, 3, 0, 0, 1, 3, 4, 3, 3, 3, 3, 4, 4, 2, 2, 1, 0, 2, 3, 3, 2, 1, 1, 4, 0, 3, 1, 2, 3, 0, 1, 0, 2, 2, 0, 4, 0, 4, 1, 0, 2, 4, 1, 1, 4, 1, 4, 4, 2, 0, 1, 4, 2, 4, 2, 2, 1, 0, 3, 2, 2, 4, 4, 2, 3, 1, 1, 3, 0, 3, 0, 0, 0, 0, 3, 2, 3, 4, 4, 1, 2, 0, 1, 2, 3, 2, 0, 0, 1, 4, 4, 3, 0, 0, 1, 4, 3, 3, 0, 0, 3, 0, 4, 1, 3, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 4, 2, 4, 4, 0, 2, 4, 0, 1, 4, 1, 3, 3, 1, 2, 4, 4, 3, 0, 1, 3, 1, 2, 0, 2, 2, 3, 2, 0, 2, 2, 4, 4, 1, 1, 4, 0, 4, 1, 3, 1, 3, 3, 1, 3, 2, 1, 1, 2, 1, 1]
pubkeycol1046 = [0, 2, 2, 0, 4, 1, 0, 2, 2, 4, 1, 0, 0, 0, 1, 4, 4, 4, 2, 1, 3, 1, 1, 1, 0, 2, 1, 3, 1, 1, 1, 3, 2, 4, 1, 4, 1, 0, 0, 4, 2, 2, 1, 2, 3, 4, 2, 1, 2, 4, 1, 1, 2, 0, 2, 4, 3, 3, 1, 2, 3, 0, 1, 4, 4, 2, 0, 3, 4, 3, 1, 0, 4, 3, 4, 4, 0, 3, 4, 4, 3, 1, 4, 4, 4, 3, 4, 4, 1, 4, 3, 0, 2, 1, 0, 0, 4, 4, 2, 4, 0, 0, 2, 4, 0, 2, 0, 1, 4, 3, 3, 1, 2, 2, 0, 4, 0, 2, 1, 2, 0, 4, 1, 4, 3, 0, 3, 3, 0, 3, 3, 1, 0, 0, 2, 2, 0, 3, 2, 1, 2, 2, 4, 3, 3, 0, 0, 1, 4, 3, 4, 4, 0, 1, 2, 0, 3, 0, 3, 3, 2, 4, 1, 2, 2, 1, 0, 2, 3, 1, 4, 4, 0, 4, 2, 0, 1, 2, 3, 0, 2, 0, 1, 1, 1, 2, 3, 1, 2, 0, 3, 0, 4, 1, 3, 1, 4, 2, 1, 4, 3, 0, 3, 3, 3, 2, 3, 0, 0, 2, 2, 4, 3, 0, 0, 1, 3, 3, 0, 3, 2, 2, 3, 4, 4, 0, 4, 0, 0, 4, 2, 1, 0, 1, 0, 4, 4, 4, 3, 0, 4, 3, 2, 4, 0, 2, 2, 3, 1, 3, 3, 2, 0, 2, 4, 1, 3, 4, 1, 0, 4, 0, 2, 0, 1, 2, 0, 2, 2, 1, 4, 0, 3, 1, 0, 1, 2, 2, 2, 4, 2, 1, 3, 2, 0, 3, 3, 4, 2, 3, 0, 4, 2, 1, 1, 2, 4, 0, 2, 0, 1, 0, 1, 3, 3, 3, 4, 4, 4, 0, 1, 3, 1, 3, 1, 3, 1, 1, 0, 2]
pubkeycol1047 = [4, 1, 0, 2, 1, 2, 0, 3, 3, 0, 1, 0, 4, 4, 3, 1, 2, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 0, 4, 4, 4, 4, 4, 3, 1, 3, 4, 4, 3, 3, 1, 2, 1, 1, 2, 1, 3, 2, 0, 4, 0, 4, 4, 2, 2, 2, 4, 2, 3, 0, 4, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 4, 0, 1, 0, 4, 1, 1, 4, 4, 2, 0, 0, 3, 1, 4, 4, 0, 1, 2, 4, 0, 4, 1, 0, 2, 0, 3, 1, 1, 1, 1, 0, 2, 2, 0, 1, 3, 0, 4, 2, 3, 1, 3, 2, 2, 1, 0, 4, 0, 4, 1, 4, 2, 3, 3, 4, 0, 0, 2, 3, 2, 4, 4, 3, 1, 4, 3, 0, 1, 2, 2, 1, 0, 3, 1, 4, 3, 0, 2, 3, 3, 2, 0, 1, 2, 3, 1, 0, 3, 1, 4, 0, 4, 3, 4, 2, 3, 0, 3, 2, 2, 3, 0, 1, 2, 1, 2, 1, 2, 4, 1, 2, 3, 2, 0, 4, 0, 4, 1, 0, 4, 2, 4, 2, 3, 3, 4, 3, 3, 1, 3, 3, 4, 0, 3, 3, 2, 1, 4, 2, 3, 3, 0, 1, 2, 2, 2, 1, 3, 0, 1, 3, 2, 3, 2, 4, 1, 2, 2, 0, 0, 3, 4, 1, 2, 0, 3, 2, 1, 4, 3, 3, 4, 2, 0, 2, 0, 3, 0, 4, 1, 2, 0, 4, 1, 0, 1, 0, 4, 2, 4, 4, 1, 4, 0, 1, 2, 2, 2, 4, 1, 3, 4, 2, 3, 1, 4, 2, 2, 3, 2, 3, 2, 3, 0, 2, 0, 4, 0, 3, 4, 3, 3, 2, 1, 3, 2, 2, 3, 3, 4, 1, 0, 4, 1, 4, 1, 0, 1, 3, 1, 4, 3, 1, 0, 4]
pubkeycol1048 = [0, 4, 3, 1, 1, 4, 3, 3, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 4, 0, 0, 4, 0, 2, 2, 3, 3, 4, 2, 2, 1, 1, 0, 0, 2, 2, 1, 3, 0, 4, 2, 3, 2, 4, 2, 3, 0, 2, 3, 0, 4, 0, 4, 3, 4, 0, 1, 2, 1, 4, 4, 3, 4, 0, 2, 1, 4, 3, 4, 0, 2, 2, 4, 2, 1, 2, 1, 4, 1, 3, 1, 0, 4, 2, 0, 3, 4, 3, 0, 0, 3, 0, 2, 0, 4, 0, 1, 2, 3, 4, 2, 0, 0, 3, 3, 4, 2, 3, 4, 2, 1, 2, 1, 1, 0, 2, 3, 3, 0, 1, 4, 1, 1, 2, 1, 0, 1, 2, 4, 0, 2, 2, 2, 2, 4, 1, 0, 4, 3, 3, 4, 4, 2, 2, 1, 4, 1, 4, 4, 0, 2, 3, 0, 2, 4, 4, 4, 2, 2, 1, 4, 4, 1, 1, 4, 0, 3, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 4, 2, 4, 1, 2, 2, 0, 0, 3, 2, 1, 4, 0, 2, 2, 2, 0, 1, 2, 3, 4, 0, 0, 3, 1, 1, 0, 3, 1, 3, 0, 2, 3, 2, 0, 4, 2, 3, 4, 2, 2, 0, 0, 1, 4, 2, 0, 0, 1, 4, 2, 3, 1, 1, 0, 0, 4, 0, 3, 0, 0, 1, 2, 2, 3, 0, 0, 1, 3, 2, 3, 2, 3, 3, 0, 0, 1, 3, 2, 3, 4, 4, 4, 1, 3, 0, 2, 4, 2, 2, 0, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 4, 4, 3, 4, 1, 4, 1, 3, 1, 0, 0, 1, 1, 4, 2, 1, 2, 2, 2, 0, 0, 4, 0, 2, 1, 4, 0, 0, 2, 1, 3, 0, 3, 1, 2, 0, 2, 2, 4, 2]
pubkeycol1049 = [4, 4, 0, 1, 4, 4, 4, 1, 2, 4, 0, 1, 3, 1, 0, 2, 4, 2, 4, 0, 2, 0, 0, 2, 1, 1, 1, 3, 2, 3, 0, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 1, 0, 4, 2, 4, 2, 2, 3, 0, 3, 0, 0, 1, 4, 3, 2, 0, 3, 2, 3, 4, 2, 4, 4, 2, 4, 4, 2, 3, 3, 0, 0, 0, 1, 4, 1, 1, 0, 0, 4, 0, 1, 4, 2, 3, 4, 3, 2, 3, 0, 0, 3, 4, 0, 2, 2, 1, 4, 1, 1, 1, 4, 0, 4, 3, 3, 0, 2, 2, 1, 1, 4, 0, 3, 3, 3, 1, 3, 1, 3, 4, 4, 2, 0, 1, 1, 0, 3, 2, 0, 3, 0, 2, 0, 2, 0, 4, 3, 1, 3, 0, 1, 4, 1, 4, 3, 4, 2, 3, 3, 3, 4, 2, 2, 0, 1, 3, 1, 1, 4, 4, 4, 2, 3, 4, 4, 1, 3, 1, 1, 3, 0, 2, 0, 2, 4, 0, 0, 1, 3, 2, 3, 2, 1, 0, 1, 3, 2, 1, 3, 1, 2, 2, 3, 3, 4, 3, 2, 1, 3, 4, 3, 3, 1, 2, 0, 2, 4, 2, 4, 4, 2, 3, 4, 3, 0, 1, 0, 3, 3, 0, 0, 1, 0, 4, 4, 4, 0, 2, 0, 3, 0, 4, 2, 3, 2, 1, 2, 3, 4, 0, 4, 4, 2, 4, 0, 0, 0, 0, 1, 2, 0, 4, 3, 2, 0, 4, 3, 4, 1, 1, 3, 0, 3, 4, 1, 3, 4, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 1, 3, 4, 4, 0, 2, 2, 0, 4, 0, 3, 3, 1, 1, 4, 2, 2, 2, 4, 1, 2, 0, 3, 3, 3, 0, 1, 0, 0, 3, 2, 1, 3, 4, 0, 4]
pubkeycol1050 = [3, 4, 1, 3, 3, 2, 3, 2, 3, 1, 4, 3, 1, 4, 0, 1, 3, 3, 1, 4, 4, 1, 4, 3, 1, 0, 4, 0, 3, 1, 0, 1, 1, 2, 3, 4, 4, 0, 0, 0, 0, 2, 0, 2, 3, 2, 2, 0, 3, 1, 3, 4, 2, 0, 2, 2, 0, 3, 1, 0, 4, 0, 3, 3, 2, 4, 1, 3, 2, 0, 4, 4, 3, 4, 4, 0, 0, 3, 1, 2, 1, 2, 4, 2, 0, 1, 1, 3, 0, 0, 3, 3, 0, 3, 4, 2, 4, 1, 2, 1, 1, 4, 3, 0, 0, 4, 3, 0, 4, 2, 3, 1, 3, 0, 1, 1, 2, 3, 3, 0, 0, 3, 1, 4, 4, 2, 0, 3, 2, 1, 0, 1, 0, 0, 4, 0, 1, 4, 0, 4, 0, 0, 2, 2, 2, 4, 1, 1, 1, 2, 3, 0, 3, 0, 2, 4, 0, 2, 1, 3, 1, 2, 1, 1, 3, 1, 4, 0, 4, 0, 1, 3, 1, 2, 2, 1, 2, 4, 0, 4, 3, 1, 3, 4, 4, 0, 1, 3, 4, 0, 1, 4, 0, 3, 3, 4, 2, 0, 3, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 3, 3, 2, 1, 0, 2, 0, 0, 1, 4, 3, 2, 2, 4, 1, 1, 0, 1, 3, 4, 1, 4, 1, 0, 3, 2, 3, 4, 1, 3, 0, 1, 1, 4, 3, 4, 0, 4, 4, 1, 3, 3, 2, 1, 0, 2, 1, 4, 1, 4, 3, 3, 3, 3, 1, 1, 2, 3, 0, 3, 2, 3, 3, 4, 0, 3, 2, 0, 1, 3, 2, 4, 0, 1, 2, 3, 3, 1, 1, 4, 1, 0, 3, 3, 4, 1, 3, 3, 2, 2, 3, 3, 4, 2, 3, 3, 4, 0, 1, 3, 2, 1, 2, 3, 3, 4, 1, 2, 0, 1, 0]
pubkeycol1051 = [3, 3, 3, 4, 2, 4, 1, 4, 2, 2, 3, 4, 0, 4, 3, 3, 0, 0, 0, 3, 1, 1, 1, 3, 4, 3, 4, 1, 2, 4, 4, 0, 2, 4, 2, 2, 1, 0, 2, 1, 3, 1, 4, 1, 3, 4, 4, 2, 2, 1, 2, 1, 3, 3, 4, 4, 4, 4, 3, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 4, 0, 0, 3, 1, 0, 0, 3, 4, 2, 1, 3, 4, 0, 4, 4, 2, 4, 2, 2, 0, 2, 3, 3, 1, 3, 2, 2, 4, 3, 3, 3, 3, 4, 4, 3, 4, 1, 2, 1, 3, 2, 2, 3, 2, 4, 3, 2, 4, 0, 3, 2, 4, 0, 0, 1, 3, 3, 0, 0, 2, 0, 4, 1, 1, 1, 0, 0, 4, 2, 4, 1, 2, 2, 3, 0, 4, 1, 3, 0, 0, 0, 3, 3, 1, 0, 2, 2, 1, 4, 3, 2, 2, 3, 2, 2, 0, 0, 2, 0, 4, 3, 1, 4, 3, 3, 4, 1, 4, 0, 3, 3, 3, 4, 0, 1, 3, 0, 2, 3, 3, 1, 4, 1, 4, 3, 4, 1, 3, 4, 3, 4, 2, 0, 4, 0, 0, 1, 1, 3, 2, 2, 0, 1, 2, 2, 4, 1, 4, 4, 1, 1, 3, 3, 1, 1, 3, 4, 2, 1, 4, 3, 1, 2, 0, 0, 1, 2, 3, 2, 3, 2, 0, 2, 1, 3, 4, 2, 4, 2, 2, 3, 1, 1, 1, 0, 0, 0, 3, 1, 3, 2, 3, 3, 4, 2, 3, 1, 4, 3, 1, 4, 4, 3, 0, 4, 2, 2, 1, 1, 2, 1, 3, 2, 4, 1, 0, 0, 4, 0, 1, 0, 3, 0, 3, 4, 1, 2, 2, 4, 2, 0, 2, 1, 4, 3, 3, 4, 1, 4, 3, 0, 2, 2, 3, 2, 2, 2, 3, 3, 4]
pubkeycol1052 = [0, 2, 4, 2, 4, 2, 0, 1, 3, 0, 3, 4, 0, 2, 3, 4, 0, 3, 0, 1, 2, 1, 1, 0, 1, 2, 4, 0, 3, 3, 2, 0, 0, 0, 4, 0, 2, 1, 3, 4, 4, 4, 2, 1, 4, 2, 3, 1, 0, 2, 2, 1, 3, 1, 4, 2, 1, 1, 0, 1, 4, 4, 2, 4, 0, 1, 4, 4, 3, 2, 0, 4, 1, 0, 2, 3, 3, 1, 4, 1, 0, 1, 1, 1, 3, 1, 4, 4, 3, 3, 3, 2, 0, 0, 0, 3, 1, 3, 0, 1, 1, 2, 2, 4, 3, 0, 2, 2, 2, 2, 1, 2, 3, 2, 0, 2, 4, 0, 4, 4, 4, 3, 3, 4, 4, 1, 3, 2, 4, 1, 4, 1, 1, 0, 2, 3, 0, 3, 4, 1, 0, 0, 4, 2, 1, 1, 1, 0, 0, 0, 1, 4, 0, 1, 1, 2, 2, 4, 1, 1, 2, 4, 3, 1, 4, 1, 4, 2, 0, 4, 2, 1, 3, 3, 0, 1, 3, 1, 3, 1, 0, 1, 3, 1, 0, 3, 1, 2, 1, 1, 2, 2, 4, 2, 2, 4, 3, 1, 2, 4, 4, 1, 4, 3, 4, 3, 4, 2, 1, 1, 3, 3, 2, 2, 4, 0, 1, 3, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 3, 3, 3, 1, 3, 4, 3, 3, 0, 4, 4, 3, 0, 3, 2, 2, 1, 3, 2, 4, 3, 0, 2, 3, 1, 4, 0, 4, 3, 1, 1, 3, 4, 1, 2, 0, 0, 1, 4, 4, 0, 3, 4, 4, 3, 1, 1, 0, 3, 2, 4, 1, 0, 0, 2, 3, 3, 3, 0, 4, 1, 1, 3, 0, 1, 2, 4, 4, 0, 1, 3, 0, 2, 4, 3, 1, 4, 2, 0, 3, 3, 3, 3, 1, 0, 2, 0, 2, 4]
pubkeycol1053 = [0, 0, 0, 0, 1, 4, 1, 2, 2, 1, 3, 3, 0, 0, 3, 0, 2, 3, 3, 3, 1, 2, 2, 0, 0, 4, 0, 1, 3, 2, 1, 4, 0, 2, 0, 4, 0, 4, 3, 1, 2, 0, 3, 0, 2, 3, 3, 2, 0, 3, 1, 1, 4, 1, 1, 2, 2, 0, 2, 4, 4, 3, 2, 4, 1, 4, 0, 4, 4, 3, 4, 4, 0, 3, 0, 1, 1, 3, 0, 0, 4, 2, 0, 3, 3, 1, 0, 3, 4, 4, 4, 3, 0, 0, 2, 1, 0, 1, 3, 1, 4, 3, 1, 1, 0, 4, 2, 2, 3, 0, 2, 3, 4, 1, 1, 3, 0, 3, 4, 0, 1, 2, 3, 3, 2, 1, 3, 1, 3, 3, 4, 3, 3, 1, 0, 0, 2, 0, 0, 2, 4, 4, 4, 4, 2, 2, 3, 1, 3, 1, 1, 0, 1, 0, 3, 0, 3, 1, 2, 3, 0, 2, 2, 0, 3, 3, 4, 3, 1, 2, 1, 4, 4, 3, 0, 4, 1, 2, 3, 1, 2, 1, 0, 1, 0, 1, 1, 4, 3, 4, 0, 1, 0, 2, 2, 2, 4, 1, 4, 0, 3, 2, 1, 3, 4, 0, 0, 4, 4, 3, 4, 3, 4, 0, 2, 0, 1, 2, 2, 4, 1, 4, 0, 2, 3, 2, 1, 2, 1, 2, 0, 2, 2, 4, 1, 2, 4, 3, 4, 3, 3, 0, 1, 0, 3, 2, 1, 3, 2, 0, 1, 0, 2, 3, 0, 2, 3, 2, 0, 1, 4, 2, 3, 2, 4, 3, 0, 2, 3, 3, 1, 2, 0, 4, 4, 2, 4, 4, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 3, 3, 0, 4, 1, 4, 3, 4, 1, 2, 1, 0, 3, 3, 3, 1, 3, 1, 2, 0, 1, 1, 4, 0, 1, 2, 1, 3, 0, 3, 1, 1]
pubkeycol1054 = [3, 0, 3, 4, 1, 1, 4, 0, 2, 1, 1, 4, 2, 0, 2, 3, 2, 4, 3, 1, 2, 2, 4, 4, 2, 3, 0, 0, 1, 0, 1, 0, 0, 3, 1, 3, 3, 2, 1, 4, 0, 3, 1, 2, 4, 2, 4, 4, 3, 1, 3, 2, 0, 2, 2, 0, 4, 3, 0, 4, 3, 3, 0, 0, 0, 3, 2, 3, 3, 2, 3, 1, 3, 3, 2, 1, 0, 0, 2, 2, 0, 2, 3, 0, 0, 2, 2, 3, 2, 4, 2, 2, 1, 3, 1, 3, 4, 3, 1, 0, 4, 4, 0, 0, 1, 4, 4, 2, 1, 3, 4, 4, 2, 4, 2, 1, 4, 4, 4, 3, 3, 0, 0, 3, 1, 4, 0, 0, 4, 0, 3, 0, 1, 1, 4, 2, 0, 3, 4, 1, 2, 3, 1, 1, 3, 0, 3, 0, 2, 4, 4, 3, 0, 1, 0, 1, 3, 0, 4, 0, 2, 1, 3, 0, 2, 3, 1, 2, 3, 0, 3, 3, 3, 4, 4, 1, 0, 4, 0, 1, 0, 0, 4, 1, 4, 4, 2, 4, 3, 2, 3, 3, 3, 4, 2, 2, 0, 3, 2, 3, 4, 4, 2, 3, 2, 4, 4, 1, 2, 3, 1, 0, 4, 1, 2, 1, 1, 3, 2, 4, 0, 4, 2, 1, 3, 0, 3, 0, 3, 0, 0, 2, 4, 1, 1, 4, 1, 2, 0, 3, 2, 0, 2, 2, 1, 4, 1, 1, 1, 0, 1, 3, 3, 0, 1, 4, 4, 2, 2, 0, 3, 1, 1, 2, 3, 3, 2, 1, 0, 0, 1, 3, 4, 0, 3, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 3, 3, 3, 1, 1, 2, 3, 2, 4, 4, 0, 0, 4, 1, 2, 3, 2, 2, 2, 1, 3, 4, 0, 0, 4, 3, 4, 4, 0, 2, 2, 0, 3, 3]
pubkeycol1055 = [4, 2, 4, 1, 1, 2, 1, 2, 0, 4, 3, 4, 3, 4, 3, 3, 3, 3, 1, 0, 3, 4, 1, 4, 2, 4, 1, 1, 0, 0, 4, 3, 1, 0, 0, 0, 4, 1, 4, 3, 4, 0, 4, 1, 2, 0, 2, 0, 3, 0, 1, 4, 4, 4, 2, 1, 2, 0, 0, 0, 1, 4, 1, 0, 4, 4, 4, 0, 1, 1, 2, 1, 1, 4, 2, 4, 3, 1, 1, 0, 3, 1, 0, 0, 4, 2, 2, 4, 2, 3, 4, 3, 0, 2, 2, 2, 1, 0, 3, 1, 3, 0, 3, 3, 1, 4, 0, 3, 1, 0, 2, 1, 2, 3, 4, 4, 2, 4, 4, 2, 1, 2, 4, 2, 4, 2, 2, 3, 4, 3, 2, 4, 1, 4, 4, 1, 1, 3, 4, 1, 0, 2, 1, 2, 4, 2, 4, 3, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 4, 3, 2, 4, 0, 0, 1, 3, 2, 0, 1, 1, 1, 3, 2, 4, 4, 2, 0, 4, 2, 1, 0, 2, 0, 4, 2, 3, 2, 2, 0, 4, 4, 2, 2, 1, 2, 1, 1, 3, 1, 2, 3, 2, 3, 3, 1, 0, 1, 1, 0, 0, 2, 0, 4, 1, 1, 3, 1, 3, 1, 2, 1, 0, 2, 1, 4, 2, 4, 3, 2, 4, 3, 4, 2, 4, 2, 4, 1, 2, 3, 2, 3, 0, 4, 1, 2, 0, 4, 2, 2, 0, 2, 4, 2, 3, 1, 3, 4, 4, 3, 4, 0, 4, 3, 1, 3, 1, 1, 1, 3, 0, 2, 1, 1, 2, 2, 4, 2, 2, 0, 0, 3, 1, 3, 4, 1, 2, 0, 2, 2, 4, 1, 4, 0, 3, 4, 1, 4, 2, 4, 4, 1, 3, 3, 2, 1, 2, 1, 1, 1, 4, 4, 3, 4, 2, 2, 4, 2, 4]
pubkeycol1056 = [3, 0, 2, 1, 2, 1, 3, 4, 3, 1, 3, 3, 3, 2, 3, 0, 3, 1, 1, 1, 3, 1, 4, 0, 0, 3, 4, 1, 4, 2, 4, 3, 2, 0, 2, 0, 3, 1, 0, 0, 3, 3, 3, 1, 2, 2, 4, 0, 1, 4, 4, 0, 2, 1, 3, 3, 4, 4, 1, 3, 2, 2, 4, 2, 3, 2, 4, 4, 1, 2, 1, 4, 1, 1, 0, 3, 2, 4, 1, 0, 3, 1, 2, 1, 2, 2, 4, 3, 1, 2, 3, 3, 3, 0, 3, 4, 2, 3, 1, 3, 3, 4, 4, 2, 2, 0, 4, 4, 4, 4, 3, 2, 1, 4, 1, 4, 1, 3, 4, 3, 3, 1, 0, 1, 2, 1, 4, 4, 1, 0, 1, 4, 3, 0, 1, 0, 0, 3, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 3, 3, 2, 2, 2, 0, 3, 1, 4, 2, 4, 1, 2, 1, 4, 4, 4, 4, 0, 2, 1, 0, 3, 0, 2, 4, 0, 4, 4, 1, 3, 4, 0, 1, 4, 1, 2, 0, 4, 3, 3, 0, 2, 1, 2, 1, 4, 4, 3, 2, 2, 1, 1, 3, 0, 1, 0, 2, 4, 1, 1, 3, 2, 3, 4, 3, 0, 0, 4, 0, 1, 4, 1, 4, 0, 3, 0, 0, 0, 3, 2, 3, 4, 0, 3, 0, 3, 1, 2, 4, 1, 2, 0, 0, 4, 4, 2, 1, 1, 4, 2, 3, 2, 1, 0, 2, 2, 3, 3, 2, 1, 3, 3, 2, 0, 2, 1, 0, 2, 4, 3, 4, 4, 1, 3, 0, 1, 3, 3, 4, 3, 4, 3, 0, 1, 3, 3, 1, 0, 0, 4, 1, 4, 0, 2, 0, 0, 2, 2, 3, 1, 3, 4, 0, 4, 3, 1, 1, 0, 4, 3, 4, 4, 0, 1, 0, 3, 4, 2, 2, 1, 1]
pubkeycol1057 = [0, 1, 4, 0, 4, 2, 2, 0, 1, 4, 4, 1, 1, 3, 2, 3, 0, 3, 3, 0, 0, 0, 1, 4, 0, 3, 2, 4, 4, 3, 2, 4, 0, 1, 2, 4, 3, 4, 3, 0, 3, 2, 1, 2, 2, 3, 1, 2, 4, 2, 4, 2, 1, 0, 0, 3, 1, 1, 4, 1, 3, 3, 0, 2, 2, 0, 1, 1, 1, 4, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 4, 3, 2, 3, 4, 2, 4, 0, 0, 4, 3, 0, 2, 0, 2, 1, 1, 1, 2, 3, 4, 1, 4, 1, 2, 3, 0, 4, 2, 1, 3, 4, 4, 4, 1, 0, 4, 1, 0, 0, 4, 3, 4, 0, 2, 3, 4, 3, 3, 0, 1, 3, 2, 2, 2, 0, 3, 1, 1, 4, 2, 3, 1, 4, 3, 0, 1, 3, 3, 1, 4, 0, 1, 4, 4, 4, 0, 2, 4, 1, 0, 0, 4, 1, 1, 1, 1, 1, 3, 0, 4, 0, 4, 4, 3, 0, 3, 0, 3, 4, 2, 0, 3, 1, 1, 2, 2, 1, 3, 4, 2, 4, 3, 4, 1, 2, 0, 1, 0, 0, 4, 3, 3, 3, 0, 2, 0, 3, 3, 2, 0, 4, 4, 4, 0, 2, 2, 2, 1, 1, 0, 0, 3, 2, 0, 3, 4, 1, 1, 3, 2, 0, 0, 4, 1, 1, 2, 2, 2, 3, 0, 1, 0, 4, 1, 2, 2, 0, 2, 4, 4, 4, 1, 4, 3, 3, 4, 0, 3, 2, 2, 3, 4, 4, 0, 0, 2, 1, 3, 2, 0, 2, 3, 2, 1, 0, 3, 1, 0, 2, 4, 4, 4, 1, 0, 0, 0, 3, 0, 2, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 3, 4, 0, 4, 4, 0, 2, 2, 1, 4, 1, 0, 3, 0, 3, 0]
pubkeycol1058 = [4, 3, 1, 1, 3, 0, 2, 2, 2, 3, 0, 0, 0, 3, 3, 0, 2, 3, 1, 1, 0, 3, 3, 4, 3, 1, 0, 4, 0, 2, 4, 2, 3, 4, 0, 2, 3, 3, 3, 0, 2, 1, 2, 4, 2, 1, 4, 1, 4, 3, 2, 4, 4, 4, 1, 0, 4, 3, 1, 2, 0, 0, 2, 1, 2, 0, 2, 4, 4, 0, 2, 2, 0, 2, 2, 0, 2, 4, 3, 1, 1, 1, 4, 1, 1, 2, 0, 4, 3, 2, 3, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 3, 3, 0, 2, 4, 3, 2, 4, 3, 2, 4, 1, 1, 3, 4, 1, 3, 4, 2, 1, 0, 1, 3, 2, 4, 4, 0, 0, 4, 0, 2, 0, 4, 3, 1, 2, 3, 3, 2, 1, 0, 4, 3, 4, 1, 0, 3, 0, 3, 4, 4, 3, 0, 1, 0, 0, 2, 1, 3, 2, 1, 4, 2, 1, 2, 1, 1, 0, 1, 2, 4, 2, 1, 3, 3, 4, 2, 2, 4, 3, 2, 4, 4, 2, 3, 3, 3, 2, 4, 1, 0, 4, 3, 0, 3, 2, 4, 0, 4, 2, 4, 3, 2, 4, 2, 1, 2, 1, 1, 3, 0, 0, 4, 4, 1, 4, 2, 4, 2, 2, 2, 0, 3, 2, 2, 0, 0, 4, 3, 2, 4, 2, 3, 2, 0, 3, 2, 3, 2, 2, 1, 2, 1, 2, 3, 2, 3, 4, 2, 4, 4, 0, 1, 3, 1, 1, 0, 3, 1, 3, 3, 1, 3, 0, 2, 4, 0, 0, 3, 2, 2, 3, 3, 1, 1, 3, 2, 3, 1, 2, 2, 0, 3, 0, 0, 3, 2, 1, 1, 2, 4, 1, 2, 1, 4, 2, 1, 0, 4, 0, 2, 2, 2, 2, 4, 0, 1, 2, 1, 1, 1, 3, 2, 4, 3, 2, 3, 4]
pubkeycol1059 = [1, 2, 2, 2, 4, 0, 0, 1, 2, 1, 1, 1, 4, 3, 2, 1, 4, 3, 4, 2, 4, 2, 4, 0, 1, 4, 2, 3, 3, 0, 1, 4, 0, 3, 1, 4, 3, 4, 2, 2, 0, 2, 3, 0, 0, 1, 1, 2, 2, 4, 1, 3, 4, 2, 3, 2, 2, 4, 1, 1, 1, 4, 0, 4, 4, 3, 0, 3, 2, 2, 2, 3, 4, 0, 2, 3, 2, 3, 4, 0, 4, 4, 4, 0, 3, 1, 3, 1, 4, 0, 1, 1, 3, 1, 2, 2, 0, 3, 0, 4, 3, 0, 4, 3, 4, 3, 1, 4, 3, 2, 3, 0, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 4, 1, 4, 1, 2, 4, 4, 3, 2, 2, 4, 0, 4, 4, 2, 2, 0, 0, 3, 0, 1, 1, 0, 1, 1, 3, 3, 4, 1, 2, 2, 2, 4, 2, 4, 4, 0, 4, 4, 4, 4, 0, 3, 1, 2, 0, 0, 4, 2, 0, 2, 2, 3, 3, 1, 2, 4, 4, 2, 0, 2, 2, 4, 1, 2, 4, 1, 2, 0, 0, 0, 3, 1, 1, 0, 2, 2, 4, 4, 1, 2, 4, 2, 3, 0, 2, 4, 2, 1, 1, 1, 2, 1, 2, 4, 2, 4, 1, 4, 3, 3, 1, 3, 2, 3, 0, 4, 4, 4, 3, 2, 0, 2, 4, 2, 0, 3, 4, 4, 3, 2, 4, 1, 4, 2, 1, 2, 3, 0, 1, 0, 1, 4, 2, 1, 0, 1, 4, 0, 3, 2, 2, 0, 4, 2, 2, 4, 2, 0, 0, 1, 0, 1, 3, 0, 0, 4, 2, 3, 2, 0, 4, 1, 3, 3, 1, 4, 0, 0, 4, 0, 1, 0, 1, 3, 2, 0, 0, 0, 3, 2, 1, 1, 1, 4, 3, 3, 0, 2, 0, 2, 4, 0]
pubkeycol1060 = [3, 3, 4, 0, 1, 0, 3, 0, 4, 0, 0, 2, 1, 3, 4, 0, 0, 2, 0, 1, 4, 2, 3, 3, 3, 3, 1, 0, 1, 3, 0, 4, 1, 2, 4, 1, 3, 2, 4, 1, 4, 4, 1, 0, 0, 4, 3, 2, 2, 2, 2, 0, 0, 1, 3, 4, 4, 2, 1, 3, 0, 0, 2, 4, 1, 2, 4, 0, 0, 2, 3, 2, 4, 1, 1, 3, 0, 2, 0, 4, 1, 3, 4, 4, 1, 3, 1, 1, 0, 1, 1, 4, 1, 3, 3, 4, 4, 0, 1, 3, 2, 4, 4, 1, 4, 1, 2, 3, 2, 4, 3, 4, 2, 2, 4, 4, 1, 2, 0, 4, 4, 4, 2, 4, 1, 1, 2, 3, 1, 4, 2, 4, 4, 2, 3, 2, 0, 0, 2, 4, 3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 3, 0, 2, 1, 3, 3, 2, 3, 0, 3, 2, 4, 2, 0, 1, 3, 1, 3, 0, 4, 2, 2, 3, 0, 2, 0, 4, 3, 1, 3, 3, 2, 2, 1, 4, 4, 0, 2, 4, 1, 4, 3, 0, 2, 3, 1, 2, 1, 1, 4, 2, 1, 2, 1, 2, 4, 2, 2, 2, 2, 3, 4, 3, 1, 3, 1, 2, 1, 2, 2, 2, 0, 1, 4, 3, 3, 4, 3, 1, 1, 4, 3, 3, 2, 4, 1, 1, 4, 2, 3, 0, 3, 0, 4, 3, 4, 1, 1, 3, 2, 0, 3, 2, 3, 4, 2, 4, 3, 0, 2, 4, 4, 1, 0, 2, 4, 0, 3, 2, 1, 2, 3, 0, 2, 1, 4, 2, 2, 1, 2, 0, 2, 4, 1, 2, 2, 2, 3, 2, 3, 3, 0, 0, 4, 1, 0, 1, 0, 0, 1, 2, 1, 2, 4, 1, 4, 2, 0, 4, 0, 0, 1, 2, 4, 1, 3, 2, 2, 4]
pubkeycol1061 = [1, 0, 4, 1, 0, 0, 1, 0, 3, 3, 0, 0, 4, 1, 4, 4, 0, 4, 0, 2, 4, 0, 1, 1, 4, 3, 1, 1, 4, 4, 2, 1, 2, 2, 4, 2, 3, 0, 1, 3, 3, 0, 4, 4, 4, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 4, 2, 4, 1, 1, 0, 3, 2, 0, 2, 0, 3, 2, 0, 1, 1, 0, 2, 3, 1, 1, 0, 2, 1, 4, 2, 3, 0, 1, 1, 0, 4, 1, 2, 4, 1, 1, 1, 0, 3, 1, 4, 1, 1, 2, 4, 4, 2, 0, 4, 1, 2, 3, 3, 0, 2, 0, 4, 2, 2, 3, 1, 3, 0, 4, 4, 0, 2, 1, 3, 2, 3, 4, 3, 0, 4, 1, 0, 4, 1, 3, 0, 0, 0, 4, 1, 4, 4, 3, 0, 1, 0, 1, 3, 1, 1, 4, 3, 1, 2, 3, 3, 3, 0, 4, 2, 4, 1, 3, 4, 3, 1, 0, 0, 1, 3, 2, 1, 0, 1, 3, 0, 2, 3, 4, 3, 3, 4, 3, 3, 1, 2, 0, 4, 3, 0, 0, 2, 2, 0, 1, 1, 0, 4, 1, 2, 2, 2, 2, 3, 4, 3, 1, 3, 3, 3, 4, 3, 3, 3, 4, 2, 1, 0, 3, 2, 0, 4, 1, 0, 4, 0, 0, 0, 2, 0, 0, 4, 2, 1, 3, 3, 3, 0, 2, 0, 1, 4, 0, 0, 0, 3, 2, 3, 2, 1, 3, 1, 1, 2, 0, 1, 4, 1, 3, 2, 4, 4, 4, 4, 2, 4, 2, 1, 1, 2, 3, 2, 1, 0, 4, 3, 2, 1, 0, 4, 2, 0, 3, 0, 1, 3, 2, 2, 0, 4, 1, 0, 2, 4, 2, 3, 3, 0, 1, 3, 0, 4, 2, 1, 1, 0, 2, 3, 0, 4, 1, 3, 0, 0, 2, 3, 2]
pubkeycol1062 = [1, 1, 0, 2, 1, 4, 0, 3, 0, 1, 1, 4, 1, 2, 3, 3, 4, 2, 3, 0, 1, 3, 1, 0, 3, 4, 4, 1, 3, 4, 2, 0, 4, 3, 0, 2, 2, 3, 3, 0, 0, 1, 1, 3, 2, 2, 0, 0, 1, 1, 2, 2, 1, 4, 1, 1, 2, 1, 1, 1, 3, 4, 3, 2, 1, 0, 3, 0, 1, 3, 3, 4, 1, 1, 0, 3, 2, 4, 2, 2, 4, 4, 2, 3, 3, 2, 2, 4, 3, 2, 2, 2, 2, 0, 2, 1, 0, 3, 0, 3, 0, 0, 2, 0, 0, 2, 1, 2, 2, 4, 1, 0, 3, 1, 4, 2, 4, 2, 0, 3, 4, 4, 4, 4, 3, 1, 2, 4, 4, 4, 2, 4, 2, 0, 0, 0, 1, 3, 0, 2, 1, 4, 4, 2, 2, 4, 0, 1, 1, 3, 2, 3, 2, 2, 0, 0, 4, 0, 0, 4, 4, 0, 1, 3, 1, 2, 1, 2, 2, 2, 2, 3, 0, 2, 1, 1, 4, 3, 3, 4, 2, 2, 3, 2, 1, 4, 4, 1, 4, 1, 1, 1, 4, 1, 4, 1, 4, 3, 1, 2, 4, 3, 0, 2, 1, 4, 1, 1, 4, 0, 4, 1, 1, 2, 1, 2, 4, 0, 4, 1, 2, 2, 2, 3, 3, 1, 3, 2, 1, 1, 4, 1, 3, 0, 4, 4, 4, 2, 0, 3, 0, 0, 0, 0, 4, 3, 2, 3, 1, 3, 4, 1, 1, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 0, 3, 2, 1, 3, 1, 2, 4, 3, 4, 4, 2, 4, 3, 4, 4, 2, 0, 2, 0, 1, 2, 1, 3, 4, 1, 1, 0, 1, 3, 0, 2, 4, 4, 3, 1, 4, 2, 0, 2, 3, 2, 4, 4, 2, 4, 1, 2, 2, 2, 4, 2, 4, 2, 2, 4, 0]
pubkeycol1063 = [2, 1, 3, 1, 0, 3, 2, 4, 0, 0, 1, 0, 1, 4, 3, 3, 4, 3, 2, 4, 4, 1, 3, 2, 4, 0, 2, 0, 0, 3, 4, 3, 1, 3, 1, 3, 3, 4, 0, 0, 1, 0, 2, 4, 4, 2, 0, 3, 3, 3, 1, 2, 4, 3, 2, 0, 3, 4, 2, 1, 3, 1, 3, 2, 3, 1, 3, 0, 2, 0, 0, 3, 2, 3, 0, 4, 3, 3, 4, 4, 2, 1, 4, 0, 3, 3, 4, 0, 4, 3, 4, 2, 1, 3, 1, 4, 1, 4, 0, 0, 3, 3, 0, 4, 4, 4, 4, 3, 2, 4, 0, 3, 1, 0, 4, 3, 2, 4, 2, 1, 0, 0, 1, 0, 4, 0, 4, 3, 0, 1, 4, 0, 4, 2, 4, 4, 0, 4, 0, 4, 1, 2, 3, 3, 2, 1, 3, 3, 0, 2, 1, 4, 0, 1, 0, 2, 0, 3, 3, 4, 0, 1, 4, 2, 3, 2, 3, 0, 0, 3, 4, 3, 3, 0, 0, 2, 0, 1, 0, 0, 2, 4, 1, 3, 1, 1, 2, 0, 4, 0, 1, 4, 3, 0, 3, 3, 1, 0, 4, 2, 2, 4, 2, 2, 1, 0, 2, 1, 3, 1, 2, 1, 3, 3, 2, 0, 2, 4, 0, 3, 3, 4, 1, 4, 1, 2, 1, 1, 1, 2, 2, 0, 4, 4, 1, 3, 2, 2, 0, 1, 2, 3, 2, 0, 2, 1, 3, 3, 2, 1, 0, 4, 0, 2, 2, 4, 1, 3, 0, 3, 3, 0, 1, 1, 2, 4, 1, 4, 2, 2, 3, 0, 2, 0, 4, 3, 3, 4, 3, 2, 3, 1, 4, 1, 4, 2, 3, 0, 3, 2, 3, 4, 2, 3, 0, 1, 2, 1, 4, 4, 3, 0, 0, 2, 3, 4, 3, 4, 1, 4, 0, 4, 2, 3, 0, 1, 1, 3, 2, 1]
pubkeycol1064 = [1, 2, 1, 3, 2, 4, 3, 3, 1, 4, 1, 1, 0, 4, 4, 3, 2, 1, 0, 0, 4, 0, 2, 0, 1, 4, 1, 2, 2, 0, 1, 0, 1, 2, 3, 4, 2, 3, 4, 0, 1, 3, 2, 3, 0, 1, 4, 0, 4, 2, 0, 3, 4, 3, 1, 2, 3, 0, 4, 0, 0, 1, 4, 3, 3, 1, 3, 0, 2, 1, 0, 1, 1, 0, 1, 2, 4, 2, 3, 3, 2, 4, 1, 1, 4, 3, 4, 3, 0, 2, 2, 2, 3, 3, 1, 1, 4, 3, 0, 0, 2, 4, 0, 0, 4, 2, 4, 0, 3, 3, 2, 0, 4, 4, 3, 4, 3, 0, 3, 0, 4, 1, 4, 2, 1, 3, 3, 4, 4, 2, 0, 4, 4, 0, 1, 2, 1, 2, 3, 0, 3, 3, 3, 4, 0, 2, 2, 0, 4, 3, 3, 2, 3, 2, 4, 1, 4, 1, 1, 4, 1, 0, 3, 2, 3, 0, 1, 0, 2, 1, 1, 1, 4, 0, 1, 3, 0, 3, 0, 2, 3, 4, 2, 3, 0, 0, 0, 2, 2, 4, 0, 3, 1, 4, 4, 1, 3, 4, 0, 1, 3, 1, 3, 0, 3, 4, 0, 0, 1, 1, 0, 4, 3, 3, 4, 0, 3, 4, 2, 1, 1, 1, 1, 4, 2, 1, 3, 2, 1, 1, 0, 1, 1, 4, 0, 4, 1, 3, 2, 0, 1, 1, 3, 2, 3, 2, 1, 4, 4, 2, 0, 0, 2, 3, 2, 1, 3, 0, 2, 1, 1, 3, 4, 3, 3, 2, 0, 1, 0, 0, 4, 2, 4, 0, 1, 3, 1, 2, 2, 3, 4, 4, 4, 3, 1, 2, 1, 0, 2, 4, 0, 1, 2, 2, 2, 0, 3, 0, 4, 0, 2, 2, 2, 4, 4, 3, 2, 0, 3, 1, 0, 4, 2, 0, 0, 1, 2, 3, 3, 4]
pubkeycol1065 = [0, 4, 1, 4, 0, 2, 1, 1, 1, 3, 1, 3, 0, 2, 4, 2, 4, 2, 1, 3, 1, 1, 1, 1, 3, 1, 3, 0, 2, 1, 4, 2, 0, 1, 2, 4, 2, 4, 0, 2, 3, 2, 4, 0, 0, 0, 1, 0, 3, 1, 3, 4, 3, 4, 2, 1, 1, 0, 2, 3, 3, 3, 2, 4, 1, 3, 0, 2, 4, 2, 3, 2, 4, 2, 3, 0, 1, 3, 3, 2, 1, 4, 2, 1, 0, 1, 4, 2, 1, 0, 4, 0, 1, 1, 0, 1, 1, 1, 4, 1, 1, 3, 1, 0, 4, 3, 1, 0, 2, 0, 4, 3, 0, 2, 0, 0, 1, 0, 1, 3, 4, 3, 1, 1, 3, 2, 3, 2, 4, 3, 3, 4, 0, 4, 0, 0, 3, 3, 1, 0, 0, 2, 2, 3, 4, 4, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 4, 3, 1, 1, 0, 1, 1, 2, 3, 1, 0, 0, 4, 2, 0, 1, 1, 2, 0, 4, 0, 2, 3, 2, 1, 2, 3, 2, 4, 1, 0, 0, 1, 3, 1, 0, 0, 2, 4, 2, 2, 1, 3, 1, 4, 4, 4, 2, 2, 0, 3, 3, 3, 3, 0, 3, 2, 0, 4, 2, 4, 0, 0, 4, 1, 2, 1, 4, 3, 1, 4, 4, 0, 0, 2, 3, 2, 2, 0, 0, 0, 2, 2, 1, 3, 4, 2, 0, 1, 3, 0, 0, 3, 3, 2, 1, 1, 1, 0, 1, 3, 3, 0, 4, 1, 2, 3, 4, 1, 4, 3, 0, 2, 2, 4, 3, 4, 3, 4, 3, 4, 0, 2, 2, 2, 1, 2, 2, 0, 1, 4, 3, 4, 1, 2, 3, 4, 2, 4, 1, 0, 3, 1, 1, 0, 4, 3, 3, 1, 1, 1, 3, 2, 2, 4, 3, 4, 0, 2, 2, 1, 4, 3, 2]
pubkeycol1066 = [1, 0, 4, 0, 3, 1, 4, 4, 3, 3, 2, 0, 1, 2, 1, 3, 4, 2, 3, 1, 3, 0, 2, 0, 3, 0, 3, 2, 4, 2, 1, 4, 0, 3, 3, 4, 4, 3, 0, 3, 4, 2, 1, 2, 1, 0, 2, 2, 0, 4, 3, 3, 0, 1, 1, 4, 2, 1, 1, 1, 0, 4, 2, 0, 2, 2, 2, 4, 1, 1, 4, 4, 2, 0, 2, 2, 4, 2, 3, 1, 0, 1, 1, 3, 4, 2, 3, 4, 0, 3, 4, 0, 0, 2, 2, 4, 1, 0, 3, 0, 3, 1, 3, 0, 2, 4, 2, 4, 2, 1, 0, 1, 2, 0, 0, 2, 2, 3, 4, 3, 0, 2, 1, 2, 0, 4, 0, 3, 1, 4, 3, 0, 4, 2, 4, 0, 3, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 1, 2, 4, 4, 0, 1, 2, 1, 4, 2, 3, 0, 4, 2, 0, 0, 3, 4, 3, 1, 1, 2, 0, 2, 4, 0, 3, 0, 2, 1, 4, 1, 3, 4, 3, 4, 0, 2, 2, 1, 2, 2, 2, 0, 3, 4, 2, 1, 4, 0, 0, 2, 1, 0, 0, 3, 2, 0, 3, 2, 0, 2, 3, 3, 0, 2, 2, 1, 2, 1, 1, 4, 4, 0, 2, 4, 2, 4, 2, 1, 2, 3, 2, 0, 0, 0, 4, 3, 1, 3, 0, 1, 1, 0, 3, 4, 0, 3, 0, 4, 1, 0, 4, 4, 4, 2, 1, 2, 1, 3, 3, 3, 1, 4, 2, 0, 3, 2, 2, 3, 0, 3, 4, 4, 2, 3, 1, 0, 3, 1, 0, 2, 0, 0, 1, 3, 2, 0, 1, 2, 0, 4, 1, 1, 4, 0, 0, 4, 0, 4, 4, 3, 0, 4, 2, 0, 2, 1, 1, 2, 0, 2, 0, 4, 1, 3, 2, 1, 4, 0]
pubkeycol1067 = [4, 3, 3, 0, 4, 2, 3, 4, 3, 4, 3, 3, 3, 3, 1, 3, 1, 2, 1, 4, 2, 1, 4, 3, 0, 1, 0, 4, 0, 1, 2, 0, 2, 3, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 3, 3, 1, 4, 0, 1, 3, 1, 1, 2, 4, 4, 2, 4, 1, 4, 3, 4, 2, 1, 0, 1, 3, 4, 0, 0, 0, 4, 2, 2, 3, 2, 1, 2, 3, 3, 4, 4, 3, 4, 1, 0, 0, 4, 3, 0, 1, 1, 4, 0, 2, 4, 1, 0, 1, 4, 0, 1, 1, 2, 2, 3, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 4, 1, 4, 1, 4, 4, 1, 1, 3, 4, 4, 2, 2, 0, 2, 0, 1, 2, 1, 3, 0, 3, 2, 1, 4, 1, 2, 3, 0, 0, 4, 4, 0, 1, 0, 0, 4, 1, 2, 4, 4, 0, 3, 1, 4, 4, 3, 4, 3, 2, 0, 3, 2, 1, 0, 1, 4, 4, 2, 3, 1, 0, 0, 4, 1, 3, 4, 4, 0, 2, 0, 2, 1, 0, 4, 2, 2, 4, 2, 1, 2, 0, 3, 1, 1, 2, 4, 4, 3, 1, 2, 1, 0, 4, 0, 0, 4, 0, 4, 0, 4, 3, 0, 2, 3, 2, 4, 3, 3, 4, 0, 0, 1, 0, 1, 4, 2, 0, 4, 4, 3, 3, 1, 1, 3, 2, 3, 1, 1, 4, 1, 3, 0, 0, 4, 2, 1, 2, 3, 3, 0, 4, 0, 4, 0, 1, 2, 1, 1, 1, 2, 0, 3, 2, 4, 4, 0, 3, 4, 0, 1, 1, 2, 4, 3, 4, 1, 3, 4, 1, 2, 1, 3, 0, 1, 0, 0, 2, 3, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0]
pubkeycol1068 = [3, 3, 0, 2, 0, 1, 2, 2, 1, 2, 4, 3, 2, 4, 1, 2, 4, 4, 4, 3, 3, 0, 3, 2, 0, 3, 1, 1, 3, 2, 2, 0, 1, 3, 1, 1, 0, 1, 3, 0, 2, 3, 2, 2, 1, 4, 0, 1, 2, 2, 3, 4, 2, 4, 1, 4, 0, 2, 2, 0, 4, 1, 1, 0, 4, 0, 1, 3, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 2, 2, 2, 2, 4, 3, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 3, 4, 2, 1, 3, 4, 3, 0, 3, 2, 3, 1, 4, 4, 4, 2, 1, 4, 3, 1, 2, 1, 1, 1, 2, 3, 3, 3, 4, 0, 1, 3, 2, 1, 2, 4, 1, 4, 1, 4, 4, 3, 4, 2, 3, 1, 4, 0, 4, 2, 4, 0, 3, 2, 3, 2, 1, 4, 4, 4, 0, 3, 3, 0, 4, 2, 2, 0, 2, 4, 1, 2, 2, 3, 3, 2, 4, 0, 0, 0, 0, 4, 3, 3, 2, 2, 0, 4, 4, 1, 2, 4, 1, 3, 4, 1, 4, 4, 0, 4, 1, 4, 4, 3, 2, 2, 2, 0, 4, 0, 1, 0, 3, 4, 2, 0, 2, 3, 1, 2, 1, 1, 1, 1, 4, 2, 3, 3, 4, 3, 3, 0, 0, 0, 1, 1, 2, 2, 1, 3, 4, 1, 1, 1, 2, 1, 1, 2, 2, 4, 2, 0, 0, 2, 2, 1, 1, 1, 3, 1, 3, 1, 0, 1, 1, 1, 1, 0, 0, 2, 3, 3, 3, 2, 2, 0, 0, 0, 1, 4, 1, 1, 4, 0, 3, 3, 4, 4, 4, 1, 3, 2, 0, 4, 1, 2, 0, 0, 3, 0, 2, 1, 1, 1, 4, 2, 3, 0, 2, 2, 1, 2, 0, 1, 4, 2, 1, 4, 3, 4, 1, 0, 1, 0, 2]
pubkeycol1069 = [4, 1, 2, 4, 3, 3, 1, 0, 3, 2, 2, 1, 0, 3, 2, 1, 2, 2, 2, 1, 0, 4, 0, 1, 1, 2, 0, 3, 3, 0, 4, 3, 1, 4, 4, 0, 0, 3, 1, 3, 2, 3, 0, 2, 1, 3, 1, 1, 0, 4, 2, 4, 3, 0, 0, 2, 4, 3, 4, 4, 4, 0, 4, 4, 4, 2, 1, 4, 2, 2, 2, 0, 2, 1, 2, 4, 0, 4, 0, 1, 3, 1, 0, 2, 2, 2, 4, 1, 3, 1, 2, 4, 1, 0, 3, 4, 4, 1, 0, 4, 2, 4, 2, 1, 3, 3, 2, 3, 1, 2, 2, 1, 1, 4, 2, 2, 1, 1, 4, 4, 0, 3, 1, 2, 4, 0, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 4, 1, 2, 0, 3, 1, 2, 1, 1, 3, 4, 1, 2, 1, 2, 1, 0, 0, 3, 2, 1, 4, 2, 2, 0, 1, 0, 4, 0, 1, 0, 1, 1, 0, 2, 3, 1, 1, 4, 1, 1, 0, 0, 3, 1, 1, 4, 1, 2, 0, 0, 0, 1, 3, 2, 1, 1, 1, 2, 4, 1, 4, 1, 4, 3, 1, 4, 1, 4, 0, 0, 1, 2, 4, 0, 0, 4, 3, 3, 0, 1, 2, 3, 3, 1, 4, 2, 0, 2, 0, 2, 4, 0, 4, 2, 2, 3, 2, 3, 4, 3, 2, 4, 2, 1, 1, 0, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 0, 3, 0, 1, 4, 4, 3, 3, 4, 0, 4, 1, 2, 1, 1, 3, 1, 0, 2, 3, 0, 2, 3, 3, 3, 0, 3, 2, 0, 1, 2, 1, 3, 0, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 2, 3, 1, 1, 3, 2, 2, 2, 2, 4, 1, 3, 3, 3, 1, 4, 2, 4]
pubkeycol1070 = [3, 4, 2, 0, 1, 2, 2, 3, 1, 0, 4, 0, 4, 0, 4, 0, 4, 0, 3, 3, 0, 0, 0, 3, 1, 1, 1, 4, 4, 0, 3, 0, 2, 4, 2, 3, 0, 2, 2, 4, 4, 4, 2, 1, 1, 3, 4, 1, 4, 4, 4, 2, 0, 0, 3, 4, 2, 0, 0, 3, 4, 0, 0, 2, 3, 0, 0, 0, 4, 0, 2, 4, 2, 4, 4, 3, 4, 0, 0, 0, 2, 4, 1, 2, 0, 1, 2, 1, 0, 4, 3, 1, 2, 2, 1, 0, 3, 0, 1, 3, 2, 2, 4, 1, 1, 4, 4, 1, 2, 0, 0, 2, 0, 0, 4, 3, 2, 0, 1, 4, 4, 3, 3, 4, 2, 1, 1, 4, 1, 2, 2, 4, 2, 4, 2, 4, 2, 3, 4, 4, 2, 3, 1, 4, 4, 1, 4, 1, 1, 4, 3, 3, 2, 0, 2, 1, 1, 0, 2, 2, 4, 0, 3, 4, 2, 4, 4, 1, 2, 1, 4, 0, 4, 2, 1, 1, 4, 2, 0, 3, 4, 3, 0, 1, 1, 4, 2, 3, 3, 4, 4, 4, 3, 2, 3, 4, 1, 0, 1, 2, 1, 1, 4, 0, 3, 3, 1, 3, 0, 3, 4, 1, 2, 3, 1, 0, 0, 4, 4, 1, 3, 0, 3, 3, 0, 0, 2, 2, 3, 4, 4, 0, 4, 1, 0, 4, 2, 1, 1, 2, 1, 1, 4, 1, 4, 3, 1, 2, 1, 1, 4, 4, 4, 3, 0, 3, 2, 1, 3, 0, 1, 2, 2, 1, 1, 0, 4, 2, 0, 4, 2, 3, 1, 3, 3, 3, 2, 3, 3, 4, 0, 1, 0, 2, 1, 1, 0, 2, 0, 4, 4, 0, 0, 3, 3, 1, 4, 2, 3, 2, 0, 2, 1, 0, 4, 3, 3, 0, 4, 4, 1, 1, 2, 4, 1, 4, 2, 0, 1, 2]
pubkeycol1071 = [3, 4, 0, 1, 3, 1, 0, 3, 2, 4, 3, 3, 3, 3, 0, 4, 3, 2, 4, 4, 1, 2, 3, 4, 2, 4, 2, 3, 1, 2, 4, 2, 2, 4, 4, 3, 0, 0, 3, 2, 2, 2, 4, 0, 2, 1, 1, 1, 3, 0, 1, 3, 2, 3, 0, 3, 3, 3, 0, 2, 2, 0, 3, 1, 3, 4, 1, 1, 4, 0, 4, 4, 2, 4, 1, 4, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 4, 1, 1, 2, 1, 3, 1, 2, 4, 2, 2, 1, 1, 0, 4, 0, 0, 3, 4, 4, 1, 3, 3, 3, 0, 4, 1, 3, 2, 2, 3, 2, 1, 2, 0, 1, 3, 4, 4, 2, 4, 3, 3, 2, 4, 2, 1, 3, 1, 1, 0, 4, 2, 0, 3, 2, 3, 0, 4, 0, 2, 4, 3, 4, 3, 3, 2, 2, 3, 3, 3, 1, 4, 4, 3, 0, 4, 4, 4, 0, 1, 1, 0, 4, 4, 4, 1, 1, 0, 0, 1, 0, 4, 2, 2, 4, 3, 0, 4, 0, 2, 1, 2, 0, 2, 2, 1, 2, 4, 4, 4, 2, 0, 3, 2, 0, 3, 0, 2, 2, 4, 3, 1, 1, 1, 3, 2, 2, 1, 4, 1, 0, 4, 4, 2, 2, 4, 4, 1, 0, 4, 4, 1, 2, 0, 3, 3, 0, 1, 4, 4, 0, 4, 4, 4, 0, 4, 1, 3, 1, 1, 0, 0, 0, 2, 3, 1, 1, 2, 0, 2, 3, 1, 3, 0, 1, 0, 1, 1, 2, 1, 3, 1, 4, 3, 0, 1, 4, 3, 0, 3, 0, 0, 4, 4, 3, 3, 1, 2, 4, 2, 3, 1, 3, 1, 4, 1, 2, 1, 1, 3, 2, 4, 4, 3, 2, 2, 4, 3, 2, 0, 1, 1, 0, 0, 1, 3, 0, 3, 4, 4, 1]
pubkeycol1072 = [4, 2, 2, 3, 3, 3, 4, 1, 1, 1, 1, 4, 1, 4, 1, 0, 0, 0, 0, 3, 0, 1, 4, 2, 1, 3, 1, 3, 4, 4, 3, 3, 0, 3, 2, 0, 0, 0, 2, 0, 0, 1, 3, 3, 1, 0, 4, 3, 3, 3, 1, 3, 2, 0, 3, 3, 0, 1, 1, 0, 0, 2, 4, 0, 4, 4, 0, 2, 1, 4, 1, 1, 0, 3, 3, 1, 1, 1, 1, 4, 0, 1, 3, 3, 0, 3, 2, 1, 1, 2, 0, 2, 3, 1, 3, 2, 4, 4, 0, 3, 2, 0, 3, 4, 1, 0, 0, 0, 0, 0, 1, 2, 3, 1, 4, 0, 0, 2, 3, 3, 4, 3, 4, 3, 4, 3, 3, 3, 4, 0, 0, 3, 4, 0, 4, 3, 3, 3, 4, 4, 3, 0, 0, 2, 3, 0, 2, 1, 1, 0, 2, 4, 4, 1, 3, 1, 2, 1, 1, 0, 3, 2, 2, 4, 0, 0, 2, 0, 2, 4, 2, 1, 0, 1, 3, 2, 3, 3, 2, 1, 4, 3, 3, 3, 1, 0, 2, 1, 2, 4, 3, 2, 3, 0, 4, 2, 2, 4, 3, 2, 2, 3, 1, 1, 0, 1, 2, 4, 2, 3, 4, 1, 3, 3, 4, 3, 3, 3, 3, 2, 2, 4, 1, 1, 1, 0, 3, 0, 0, 3, 4, 3, 0, 4, 3, 0, 3, 0, 0, 1, 4, 2, 4, 2, 4, 2, 2, 4, 3, 4, 3, 3, 2, 4, 3, 1, 1, 2, 3, 1, 4, 2, 4, 4, 3, 0, 1, 0, 2, 1, 3, 2, 3, 4, 2, 1, 2, 0, 1, 0, 1, 0, 4, 2, 0, 3, 1, 1, 0, 4, 4, 4, 2, 2, 0, 2, 1, 2, 2, 1, 3, 3, 4, 3, 1, 2, 1, 0, 1, 4, 4, 1, 3, 3, 1, 3, 0, 4, 0, 1]
pubkeycol1073 = [0, 2, 2, 1, 0, 4, 0, 4, 0, 3, 4, 4, 4, 1, 1, 0, 2, 1, 0, 2, 3, 4, 3, 1, 3, 0, 2, 2, 4, 1, 1, 1, 0, 0, 1, 1, 4, 4, 3, 1, 1, 1, 4, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 0, 1, 1, 4, 4, 3, 2, 3, 4, 1, 0, 4, 0, 1, 0, 1, 3, 4, 0, 1, 1, 2, 3, 3, 3, 4, 0, 2, 1, 0, 2, 0, 0, 3, 3, 1, 4, 2, 0, 3, 0, 1, 2, 1, 3, 1, 3, 0, 0, 4, 2, 4, 3, 1, 4, 2, 0, 4, 4, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 2, 1, 4, 1, 4, 1, 1, 0, 0, 2, 4, 1, 4, 2, 3, 1, 2, 4, 4, 1, 0, 4, 3, 3, 1, 1, 0, 0, 3, 3, 2, 3, 0, 3, 4, 1, 1, 1, 0, 3, 4, 3, 2, 0, 3, 2, 4, 3, 1, 2, 4, 4, 0, 2, 3, 4, 2, 0, 2, 1, 4, 3, 4, 3, 0, 2, 0, 1, 4, 2, 4, 2, 3, 1, 3, 1, 3, 1, 1, 4, 1, 3, 0, 3, 0, 3, 3, 4, 3, 0, 2, 2, 3, 3, 0, 0, 3, 4, 4, 4, 3, 3, 0, 2, 1, 3, 3, 0, 3, 0, 2, 1, 4, 4, 4, 4, 3, 2, 3, 0, 0, 3, 3, 3, 1, 2, 0, 1, 0, 0, 1, 3, 0, 2, 4, 3, 0, 0, 4, 1, 0, 1, 1, 2, 0, 1, 4, 1, 3, 3, 3, 4, 3, 4, 0, 0, 0, 3, 2, 0, 3, 2, 0, 3, 2, 3, 2, 3, 4, 1, 4, 1, 4, 4, 4, 0, 0, 2, 2, 4, 2, 4, 1, 2, 2, 0, 3, 1, 3, 3, 0, 1, 0, 4, 4, 1, 1]
pubkeycol1074 = [2, 1, 4, 1, 4, 4, 4, 3, 1, 4, 1, 0, 2, 3, 4, 3, 3, 3, 1, 0, 3, 2, 4, 3, 4, 3, 1, 3, 3, 0, 0, 4, 4, 4, 1, 1, 2, 0, 2, 2, 0, 2, 0, 4, 4, 3, 3, 3, 4, 0, 0, 2, 2, 4, 2, 1, 4, 4, 2, 2, 4, 3, 0, 3, 3, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 4, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 4, 4, 1, 3, 1, 1, 3, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 3, 4, 4, 3, 2, 1, 4, 0, 3, 0, 2, 3, 1, 2, 2, 3, 0, 4, 1, 0, 0, 2, 4, 1, 4, 3, 3, 3, 2, 0, 3, 0, 2, 0, 1, 3, 2, 1, 1, 3, 0, 0, 1, 0, 4, 0, 2, 2, 2, 0, 4, 2, 3, 4, 2, 1, 4, 1, 3, 3, 2, 0, 1, 3, 4, 1, 1, 2, 2, 0, 2, 2, 0, 4, 3, 1, 3, 0, 0, 4, 3, 0, 2, 4, 3, 3, 3, 0, 3, 4, 0, 1, 4, 1, 3, 1, 3, 1, 0, 0, 3, 3, 3, 2, 0, 3, 3, 1, 3, 4, 2, 4, 1, 4, 0, 0, 3, 2, 2, 0, 3, 4, 4, 3, 1, 3, 4, 4, 3, 1, 2, 1, 3, 0, 2, 4, 1, 1, 2, 2, 2, 0, 4, 0, 0, 3, 2, 1, 1, 4, 1, 2, 2, 0, 0, 1, 0, 3, 4, 0, 0, 0, 4, 4, 0, 2, 3, 3, 4, 1, 3, 4, 4, 1, 0, 2, 0, 4, 3, 3, 2, 4, 2, 0, 1, 3, 1, 4, 4, 2, 2, 3, 0, 1, 4, 3, 1, 2, 1, 3, 1, 3, 0, 3, 2, 4, 1, 4, 1, 3, 0, 3, 0, 0, 4]
pubkeycol1075 = [2, 4, 3, 0, 2, 0, 4, 2, 2, 1, 1, 4, 3, 3, 4, 2, 1, 0, 0, 3, 1, 4, 4, 3, 2, 0, 2, 2, 2, 4, 2, 2, 3, 4, 0, 4, 4, 2, 1, 1, 3, 1, 1, 3, 0, 4, 2, 2, 2, 3, 3, 0, 2, 0, 0, 1, 2, 2, 4, 3, 0, 3, 3, 4, 1, 4, 0, 0, 3, 1, 4, 2, 2, 1, 4, 1, 4, 4, 1, 1, 0, 0, 1, 0, 3, 4, 0, 2, 0, 4, 2, 2, 2, 0, 4, 2, 4, 0, 4, 3, 2, 1, 3, 1, 2, 2, 2, 1, 3, 3, 3, 1, 0, 2, 0, 4, 2, 1, 3, 3, 2, 3, 2, 1, 1, 1, 1, 2, 0, 2, 0, 3, 4, 0, 3, 2, 1, 0, 2, 4, 4, 0, 3, 0, 3, 2, 4, 0, 1, 3, 4, 0, 4, 3, 3, 3, 4, 1, 1, 3, 2, 1, 4, 2, 2, 3, 3, 3, 3, 3, 0, 0, 2, 0, 0, 4, 0, 1, 1, 3, 4, 3, 0, 1, 1, 3, 2, 0, 0, 0, 4, 1, 2, 0, 0, 0, 1, 0, 4, 3, 4, 1, 3, 3, 1, 3, 0, 4, 4, 0, 2, 4, 4, 4, 4, 0, 4, 0, 3, 2, 3, 4, 1, 2, 1, 3, 2, 4, 2, 3, 2, 3, 2, 3, 4, 3, 4, 0, 2, 0, 1, 2, 4, 2, 1, 4, 3, 2, 1, 1, 2, 1, 4, 3, 3, 4, 2, 4, 1, 2, 4, 2, 4, 4, 1, 0, 4, 1, 1, 4, 1, 3, 0, 0, 1, 0, 3, 0, 1, 3, 4, 3, 2, 2, 0, 1, 0, 3, 2, 4, 4, 2, 4, 0, 0, 3, 4, 0, 1, 0, 4, 3, 3, 2, 2, 0, 0, 3, 1, 1, 1, 0, 4, 0, 4, 0, 2, 4, 2, 4]
pubkeycol1076 = [4, 0, 4, 0, 3, 1, 0, 2, 3, 0, 4, 3, 0, 3, 2, 1, 2, 0, 3, 0, 0, 2, 0, 2, 3, 1, 2, 2, 2, 4, 3, 0, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 4, 2, 4, 3, 2, 2, 4, 4, 4, 1, 1, 1, 3, 0, 1, 3, 3, 0, 0, 3, 0, 1, 1, 2, 1, 3, 2, 0, 1, 0, 0, 0, 4, 2, 4, 2, 0, 1, 4, 3, 0, 1, 2, 3, 0, 3, 0, 0, 2, 2, 3, 1, 1, 4, 3, 2, 3, 1, 1, 0, 1, 4, 3, 2, 0, 0, 4, 3, 4, 3, 3, 0, 0, 0, 3, 2, 3, 0, 0, 0, 4, 4, 3, 1, 1, 0, 4, 1, 2, 2, 3, 0, 4, 2, 3, 3, 2, 1, 4, 0, 1, 2, 0, 2, 4, 1, 1, 0, 4, 4, 1, 2, 4, 0, 2, 1, 1, 4, 4, 1, 1, 3, 3, 4, 2, 4, 3, 4, 0, 1, 0, 0, 3, 1, 0, 4, 2, 4, 2, 4, 3, 0, 0, 1, 2, 4, 0, 1, 4, 0, 4, 0, 4, 3, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 3, 1, 4, 2, 2, 1, 1, 0, 3, 0, 1, 2, 3, 1, 4, 4, 1, 2, 2, 3, 3, 3, 1, 1, 2, 0, 2, 1, 2, 4, 1, 3, 3, 4, 0, 0, 3, 3, 2, 2, 1, 0, 1, 0, 2, 2, 1, 3, 1, 2, 2, 2, 4, 2, 3, 3, 3, 1, 2, 1, 0, 3, 0, 0, 3, 4, 0, 1, 2, 2, 0, 2, 3, 0, 4, 0, 0, 4, 4, 1, 3, 4, 0, 3, 1, 0, 0, 4, 1, 0, 3, 2, 2, 4, 4, 3, 4, 4, 0, 4, 3, 1, 1, 3, 0, 2, 4, 3]
pubkeycol1077 = [3, 1, 0, 4, 3, 4, 1, 3, 4, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 3, 3, 0, 2, 3, 0, 1, 3, 4, 1, 1, 3, 3, 4, 1, 2, 4, 4, 0, 2, 1, 2, 4, 2, 0, 3, 4, 1, 0, 4, 4, 2, 1, 0, 2, 0, 0, 1, 4, 0, 4, 4, 2, 1, 3, 3, 2, 4, 4, 1, 4, 2, 1, 0, 0, 0, 3, 3, 4, 1, 1, 2, 2, 4, 1, 2, 2, 4, 3, 0, 3, 4, 3, 2, 2, 3, 4, 0, 1, 4, 3, 3, 2, 2, 1, 4, 1, 4, 1, 3, 1, 3, 1, 0, 3, 2, 1, 0, 0, 2, 1, 2, 2, 4, 3, 2, 4, 0, 0, 0, 0, 1, 2, 3, 1, 1, 3, 4, 2, 1, 3, 0, 1, 4, 2, 2, 4, 1, 2, 1, 1, 0, 0, 3, 4, 4, 0, 3, 3, 3, 4, 0, 4, 2, 2, 3, 2, 2, 1, 4, 3, 4, 0, 0, 3, 2, 0, 2, 0, 4, 4, 1, 3, 4, 2, 3, 0, 1, 2, 3, 1, 2, 1, 4, 1, 3, 1, 1, 1, 0, 0, 3, 3, 3, 0, 3, 2, 1, 4, 2, 3, 3, 2, 2, 4, 0, 2, 2, 0, 3, 1, 3, 2, 2, 3, 0, 3, 4, 3, 0, 0, 2, 0, 2, 0, 3, 0, 3, 2, 2, 4, 4, 1, 4, 0, 1, 1, 1, 3, 1, 1, 0, 4, 0, 1, 0, 3, 0, 1, 4, 1, 1, 1, 0, 0, 2, 0, 4, 1, 2, 2, 1, 0, 4, 1, 0, 0, 3, 1, 2, 1, 1, 3, 1, 2, 0, 1, 1, 4, 2, 3, 4, 2, 2, 1, 2, 1, 4, 4, 3, 4, 3, 0, 2, 3, 3, 3, 1, 4, 4, 3, 3, 4, 4, 1, 4]
pubkeycol1078 = [4, 3, 4, 2, 3, 0, 2, 0, 2, 1, 3, 1, 0, 3, 2, 3, 0, 2, 0, 3, 2, 2, 3, 0, 0, 1, 1, 2, 0, 0, 3, 2, 0, 1, 4, 3, 3, 0, 1, 3, 0, 0, 3, 3, 2, 0, 1, 1, 4, 3, 4, 2, 1, 0, 0, 0, 0, 1, 4, 0, 3, 2, 2, 0, 2, 3, 1, 0, 4, 4, 2, 1, 1, 0, 1, 3, 0, 4, 1, 3, 3, 3, 1, 0, 3, 4, 1, 0, 1, 2, 4, 4, 2, 2, 0, 3, 2, 1, 2, 2, 4, 4, 4, 0, 0, 2, 2, 3, 2, 2, 0, 4, 4, 0, 2, 0, 4, 1, 4, 2, 2, 4, 4, 3, 1, 2, 1, 2, 1, 4, 1, 1, 2, 1, 4, 4, 1, 2, 1, 1, 1, 4, 0, 3, 2, 1, 3, 4, 0, 4, 4, 0, 1, 1, 2, 1, 1, 3, 3, 4, 2, 2, 3, 1, 0, 3, 2, 4, 0, 2, 3, 3, 3, 4, 3, 3, 0, 3, 0, 1, 4, 4, 2, 1, 2, 4, 1, 2, 0, 4, 4, 1, 4, 3, 0, 3, 0, 2, 3, 0, 2, 2, 0, 4, 0, 2, 1, 4, 2, 0, 2, 1, 3, 0, 1, 3, 3, 0, 2, 3, 4, 3, 2, 0, 3, 3, 4, 1, 0, 1, 2, 4, 0, 2, 1, 0, 3, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 4, 1, 2, 0, 3, 0, 1, 0, 0, 4, 1, 2, 1, 1, 2, 3, 1, 4, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 1, 4, 0, 4, 4, 1, 0, 3, 3, 0, 1, 4, 0, 2, 4, 2, 3, 3, 2, 3, 1, 4, 1, 4, 0, 3, 1, 0, 3, 3, 1, 4, 2, 3, 3, 1, 3, 3, 1, 4, 4, 1, 2, 4]
pubkeycol1079 = [4, 4, 3, 1, 3, 4, 0, 4, 2, 4, 1, 2, 4, 0, 2, 4, 4, 3, 4, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 3, 2, 0, 4, 2, 0, 2, 1, 2, 1, 4, 1, 2, 1, 4, 0, 0, 1, 4, 1, 4, 2, 3, 2, 2, 4, 1, 2, 2, 0, 0, 3, 2, 0, 2, 4, 3, 4, 2, 0, 1, 0, 3, 2, 2, 1, 1, 1, 3, 4, 4, 1, 2, 3, 2, 1, 0, 1, 3, 0, 0, 0, 3, 1, 0, 4, 1, 0, 3, 4, 1, 1, 4, 4, 3, 1, 2, 0, 4, 1, 4, 0, 0, 2, 0, 4, 4, 1, 2, 2, 0, 0, 2, 4, 0, 1, 4, 1, 1, 4, 0, 0, 4, 1, 4, 0, 4, 1, 2, 4, 2, 1, 2, 1, 1, 4, 3, 1, 0, 1, 2, 2, 4, 1, 1, 4, 0, 1, 1, 1, 1, 2, 3, 2, 0, 3, 3, 0, 4, 4, 1, 4, 4, 4, 4, 3, 3, 3, 4, 3, 1, 0, 3, 4, 1, 2, 4, 2, 0, 0, 3, 2, 0, 2, 1, 3, 4, 4, 3, 1, 3, 3, 0, 2, 2, 4, 2, 2, 2, 3, 1, 3, 0, 1, 1, 1, 0, 4, 4, 4, 4, 4, 0, 2, 1, 2, 2, 4, 3, 3, 3, 1, 3, 3, 1, 4, 4, 1, 2, 3, 4, 1, 0, 2, 3, 1, 4, 1, 2, 1, 1, 1, 1, 3, 0, 1, 1, 0, 3, 3, 3, 2, 4, 3, 1, 2, 3, 3, 4, 0, 3, 3, 4, 1, 3, 0, 4, 1, 0, 0, 1, 3, 0, 4, 1, 3, 0, 4, 1, 1, 3, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 4, 4, 4, 0, 3, 4, 1, 2, 3, 1, 3, 0, 1, 2, 1, 1, 1, 2]
pubkeycol1080 = [0, 0, 0, 4, 2, 4, 0, 3, 3, 0, 1, 4, 0, 3, 0, 3, 0, 1, 2, 4, 2, 2, 1, 2, 3, 2, 0, 0, 1, 2, 0, 0, 3, 3, 4, 2, 4, 1, 1, 0, 3, 2, 0, 0, 3, 1, 2, 0, 2, 3, 4, 0, 2, 1, 2, 2, 4, 2, 3, 4, 0, 1, 0, 1, 4, 4, 2, 4, 0, 3, 0, 1, 3, 3, 3, 4, 4, 3, 2, 1, 2, 3, 2, 3, 3, 4, 3, 4, 1, 0, 3, 3, 1, 0, 0, 3, 2, 0, 0, 4, 1, 1, 3, 0, 3, 1, 0, 3, 2, 2, 2, 1, 1, 1, 2, 4, 3, 4, 0, 3, 1, 3, 4, 2, 0, 3, 1, 3, 4, 0, 0, 0, 3, 3, 4, 4, 2, 1, 1, 2, 4, 4, 0, 4, 3, 0, 3, 4, 0, 1, 0, 2, 2, 3, 0, 2, 4, 1, 2, 1, 0, 2, 4, 1, 0, 3, 1, 4, 2, 4, 1, 1, 4, 3, 3, 3, 0, 1, 4, 1, 2, 2, 0, 2, 4, 4, 4, 0, 0, 3, 1, 0, 4, 4, 3, 4, 2, 0, 1, 1, 4, 4, 2, 4, 0, 4, 2, 1, 3, 2, 0, 4, 0, 4, 0, 4, 3, 3, 1, 4, 3, 0, 4, 0, 3, 3, 2, 3, 0, 1, 1, 1, 4, 3, 3, 2, 2, 0, 0, 1, 2, 4, 0, 0, 4, 2, 0, 1, 2, 1, 3, 3, 2, 3, 1, 3, 1, 0, 3, 1, 4, 3, 2, 0, 0, 4, 2, 4, 4, 1, 4, 1, 2, 1, 2, 1, 2, 1, 4, 2, 2, 4, 0, 3, 2, 3, 2, 1, 3, 1, 1, 3, 4, 0, 2, 1, 3, 4, 0, 3, 0, 0, 1, 0, 1, 2, 0, 4, 1, 4, 4, 4, 0, 3, 2, 3, 1, 0, 2, 3]
pubkeycol1081 = [0, 4, 4, 2, 0, 4, 1, 1, 0, 4, 0, 4, 1, 4, 1, 2, 3, 2, 4, 3, 0, 4, 0, 4, 0, 0, 0, 3, 0, 1, 0, 2, 3, 4, 1, 2, 4, 0, 2, 0, 1, 1, 2, 1, 4, 3, 1, 3, 0, 3, 2, 1, 1, 4, 0, 3, 1, 3, 4, 4, 0, 1, 1, 0, 3, 3, 4, 1, 2, 0, 2, 3, 0, 1, 0, 0, 3, 4, 2, 1, 3, 0, 3, 4, 0, 2, 4, 4, 2, 2, 0, 1, 4, 3, 1, 2, 2, 1, 3, 4, 3, 1, 2, 2, 1, 0, 3, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 3, 2, 0, 0, 0, 4, 4, 0, 1, 0, 1, 0, 0, 3, 2, 0, 2, 2, 3, 4, 3, 0, 3, 0, 1, 0, 3, 2, 0, 1, 0, 1, 0, 1, 3, 0, 4, 0, 1, 4, 0, 1, 0, 0, 2, 3, 2, 1, 0, 2, 3, 2, 1, 1, 4, 2, 0, 0, 2, 4, 0, 4, 1, 4, 2, 2, 1, 0, 4, 4, 3, 2, 1, 2, 2, 3, 2, 0, 3, 1, 4, 3, 4, 4, 2, 2, 2, 4, 2, 2, 0, 1, 4, 3, 0, 0, 3, 3, 4, 2, 2, 0, 2, 2, 2, 2, 4, 3, 1, 1, 0, 4, 2, 4, 2, 3, 3, 0, 1, 2, 3, 4, 0, 0, 0, 1, 0, 4, 1, 2, 2, 2, 3, 4, 0, 3, 1, 3, 4, 4, 4, 1, 2, 4, 0, 3, 0, 4, 4, 1, 1, 1, 3, 1, 2, 2, 4, 0, 2, 4, 2, 0, 0, 3, 2, 0, 3, 2, 3, 0, 1, 3, 0, 1, 1, 1, 1, 3, 4, 1, 4, 0, 3, 3, 3, 2, 2, 0, 1, 2, 3, 0, 0, 1, 4, 1, 4, 0, 3, 3, 3, 0, 3]
pubkeycol1082 = [3, 2, 4, 1, 2, 0, 0, 1, 1, 4, 3, 4, 4, 1, 2, 0, 0, 0, 2, 3, 1, 3, 3, 0, 1, 2, 1, 2, 0, 3, 1, 2, 4, 1, 4, 2, 3, 1, 4, 1, 1, 0, 3, 0, 2, 2, 1, 0, 3, 2, 4, 2, 2, 2, 3, 1, 1, 2, 4, 4, 4, 4, 1, 1, 2, 4, 1, 4, 2, 3, 4, 2, 4, 2, 0, 4, 3, 4, 4, 0, 2, 1, 0, 2, 2, 4, 4, 3, 4, 0, 2, 0, 4, 1, 3, 4, 3, 0, 0, 3, 0, 3, 2, 4, 3, 3, 3, 3, 2, 4, 2, 4, 2, 0, 1, 4, 3, 4, 0, 3, 3, 0, 4, 2, 2, 3, 2, 2, 0, 1, 2, 2, 2, 1, 3, 0, 4, 3, 1, 3, 0, 3, 2, 0, 2, 2, 3, 3, 2, 3, 3, 2, 1, 1, 1, 3, 2, 1, 3, 0, 1, 4, 0, 4, 1, 0, 0, 3, 2, 1, 4, 0, 2, 2, 3, 3, 1, 1, 3, 1, 3, 4, 0, 0, 1, 1, 1, 1, 0, 1, 1, 4, 0, 3, 0, 4, 1, 0, 4, 3, 1, 1, 2, 1, 4, 2, 0, 1, 3, 4, 4, 4, 2, 3, 4, 1, 4, 2, 4, 1, 0, 1, 0, 4, 0, 2, 0, 0, 4, 3, 4, 2, 3, 1, 0, 4, 2, 4, 2, 1, 4, 0, 1, 4, 4, 4, 1, 1, 2, 0, 4, 3, 4, 1, 4, 2, 3, 1, 4, 3, 1, 2, 0, 3, 2, 1, 4, 4, 3, 1, 1, 4, 4, 4, 0, 2, 2, 0, 4, 1, 4, 0, 2, 4, 3, 0, 3, 4, 1, 0, 3, 3, 0, 3, 2, 0, 1, 0, 3, 2, 2, 0, 4, 0, 1, 2, 4, 1, 2, 3, 4, 0, 4, 0, 4, 0, 1, 1, 2, 3]
pubkeycol1083 = [3, 3, 3, 0, 4, 2, 2, 3, 3, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 3, 1, 3, 0, 0, 0, 1, 3, 1, 0, 4, 3, 3, 1, 2, 1, 0, 3, 4, 4, 2, 4, 1, 2, 0, 3, 0, 3, 2, 1, 0, 0, 2, 2, 3, 3, 4, 0, 1, 2, 3, 3, 3, 2, 0, 0, 0, 4, 1, 1, 1, 0, 3, 2, 0, 4, 3, 3, 0, 0, 2, 3, 0, 3, 0, 2, 4, 4, 0, 4, 1, 4, 3, 0, 4, 1, 0, 0, 3, 1, 4, 3, 1, 0, 0, 4, 1, 4, 0, 1, 2, 4, 3, 4, 4, 1, 4, 4, 1, 3, 3, 2, 0, 4, 2, 3, 0, 4, 2, 2, 2, 3, 2, 1, 0, 2, 3, 1, 1, 4, 3, 0, 1, 3, 3, 1, 1, 1, 3, 2, 2, 1, 4, 3, 0, 3, 0, 3, 0, 3, 3, 2, 1, 2, 1, 2, 2, 4, 3, 0, 1, 1, 2, 4, 1, 2, 4, 0, 4, 1, 0, 0, 2, 3, 2, 0, 2, 4, 0, 3, 0, 0, 2, 2, 1, 0, 0, 0, 4, 2, 4, 2, 4, 0, 0, 1, 1, 0, 1, 4, 1, 3, 3, 4, 1, 2, 2, 2, 3, 2, 2, 4, 3, 1, 4, 0, 0, 3, 1, 2, 4, 1, 0, 4, 2, 1, 0, 4, 0, 0, 0, 1, 2, 0, 2, 4, 0, 3, 1, 1, 3, 3, 4, 1, 2, 2, 4, 3, 3, 1, 2, 4, 2, 2, 4, 1, 0, 4, 4, 4, 3, 0, 1, 0, 1, 1, 3, 4, 2, 3, 2, 2, 1, 1, 4, 2, 2, 2, 3, 4, 1, 0, 2, 1, 4, 4, 0, 3, 3, 3, 0, 2, 1, 1, 3, 3, 0, 2, 1, 1, 0, 2, 3, 2, 0, 3, 4, 3]
pubkeycol1084 = [4, 4, 4, 3, 3, 1, 1, 2, 0, 2, 1, 3, 4, 2, 3, 1, 4, 4, 3, 1, 4, 2, 0, 3, 3, 3, 4, 2, 3, 3, 0, 1, 1, 4, 4, 4, 0, 2, 3, 1, 0, 4, 1, 2, 2, 1, 4, 3, 4, 4, 0, 2, 4, 0, 4, 4, 4, 4, 2, 0, 2, 0, 2, 0, 0, 1, 4, 2, 0, 2, 4, 0, 0, 1, 1, 4, 4, 4, 0, 2, 3, 3, 1, 4, 1, 1, 2, 2, 1, 2, 3, 0, 0, 3, 0, 2, 2, 4, 1, 3, 0, 4, 3, 0, 1, 1, 1, 0, 1, 1, 3, 0, 2, 0, 1, 1, 3, 4, 0, 4, 1, 3, 2, 0, 2, 2, 0, 4, 2, 4, 1, 2, 1, 0, 4, 0, 4, 3, 0, 1, 3, 1, 1, 0, 1, 4, 4, 2, 0, 3, 0, 4, 4, 2, 2, 0, 4, 1, 3, 0, 0, 1, 3, 1, 2, 1, 2, 2, 2, 3, 4, 0, 0, 2, 1, 0, 4, 3, 4, 3, 4, 4, 4, 0, 1, 0, 4, 0, 4, 2, 0, 0, 3, 2, 1, 4, 2, 2, 3, 1, 4, 0, 1, 3, 1, 2, 0, 0, 3, 4, 2, 1, 3, 2, 1, 2, 3, 1, 0, 0, 2, 4, 4, 3, 0, 1, 4, 3, 3, 1, 2, 2, 4, 3, 2, 0, 4, 2, 3, 3, 3, 1, 4, 0, 0, 0, 4, 0, 2, 3, 0, 0, 0, 4, 3, 0, 2, 2, 1, 0, 2, 1, 3, 0, 1, 2, 2, 0, 1, 2, 1, 2, 3, 3, 0, 3, 4, 0, 1, 1, 1, 3, 2, 2, 2, 2, 2, 4, 1, 4, 3, 2, 3, 2, 3, 1, 1, 3, 4, 2, 1, 1, 1, 2, 1, 0, 1, 0, 4, 1, 1, 3, 4, 2, 3, 4, 0, 3, 4, 0]
pubkeycol1085 = [4, 3, 3, 3, 0, 3, 0, 4, 3, 0, 2, 3, 1, 3, 1, 0, 1, 2, 1, 3, 1, 1, 1, 4, 2, 3, 3, 1, 2, 0, 4, 2, 0, 1, 3, 0, 3, 1, 0, 3, 2, 2, 4, 1, 3, 2, 4, 4, 4, 3, 0, 1, 3, 2, 2, 0, 2, 4, 3, 3, 1, 0, 3, 3, 3, 3, 0, 4, 2, 3, 3, 1, 1, 0, 1, 2, 0, 3, 0, 2, 3, 2, 1, 4, 3, 4, 0, 0, 1, 0, 4, 2, 3, 0, 3, 1, 1, 4, 4, 2, 1, 2, 4, 2, 4, 2, 3, 1, 0, 2, 3, 1, 0, 3, 0, 0, 0, 4, 0, 3, 1, 1, 3, 1, 2, 4, 4, 1, 2, 1, 1, 3, 3, 2, 3, 2, 2, 3, 4, 2, 2, 1, 2, 3, 1, 0, 2, 0, 3, 3, 3, 2, 4, 0, 4, 3, 1, 3, 0, 3, 3, 0, 1, 2, 4, 1, 4, 4, 1, 3, 2, 4, 0, 1, 0, 1, 2, 2, 2, 2, 4, 4, 4, 3, 1, 3, 2, 1, 4, 3, 0, 4, 4, 2, 1, 1, 4, 2, 3, 4, 4, 1, 2, 2, 0, 2, 3, 4, 0, 0, 2, 2, 1, 0, 1, 2, 2, 3, 4, 2, 0, 2, 4, 1, 2, 0, 1, 3, 1, 2, 4, 2, 2, 1, 3, 4, 0, 1, 3, 1, 0, 3, 3, 0, 2, 4, 0, 3, 4, 0, 2, 0, 2, 1, 3, 0, 3, 4, 0, 4, 1, 2, 2, 0, 3, 2, 2, 1, 1, 3, 0, 2, 1, 4, 4, 1, 1, 1, 1, 3, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 4, 0, 3, 3, 0, 2, 0, 0, 4, 1, 3, 4, 2, 3, 1, 0, 3, 1, 0, 3, 2, 2, 1, 3, 3, 3, 4, 4]
pubkeycol1086 = [1, 4, 3, 3, 2, 1, 3, 3, 2, 4, 4, 2, 3, 2, 0, 0, 2, 4, 3, 4, 0, 1, 0, 4, 0, 0, 1, 1, 3, 2, 4, 2, 4, 4, 0, 2, 1, 1, 3, 1, 4, 1, 0, 1, 3, 0, 0, 0, 3, 3, 2, 2, 1, 4, 4, 0, 3, 4, 0, 2, 1, 0, 0, 3, 3, 3, 3, 4, 3, 1, 1, 0, 4, 2, 3, 0, 3, 3, 0, 1, 3, 0, 3, 1, 0, 3, 2, 1, 4, 1, 3, 1, 4, 4, 2, 4, 0, 0, 1, 4, 1, 2, 3, 0, 2, 1, 1, 2, 4, 3, 2, 4, 4, 2, 1, 4, 1, 4, 1, 0, 0, 2, 4, 0, 0, 4, 4, 2, 3, 3, 4, 3, 3, 2, 4, 2, 2, 0, 0, 4, 0, 4, 3, 2, 4, 2, 2, 1, 3, 4, 2, 3, 1, 3, 2, 0, 0, 0, 3, 0, 2, 3, 2, 4, 1, 2, 0, 0, 1, 1, 4, 3, 2, 4, 2, 2, 1, 3, 4, 0, 0, 0, 4, 2, 2, 0, 2, 4, 4, 1, 1, 3, 3, 1, 3, 2, 2, 4, 2, 2, 1, 4, 1, 2, 2, 4, 1, 4, 2, 2, 1, 1, 4, 0, 1, 4, 0, 1, 2, 1, 1, 2, 0, 3, 3, 4, 3, 0, 3, 0, 1, 0, 4, 3, 3, 0, 4, 3, 4, 4, 1, 0, 4, 4, 0, 3, 0, 2, 0, 0, 0, 0, 1, 2, 4, 0, 0, 2, 0, 3, 1, 0, 1, 3, 1, 4, 0, 3, 3, 3, 2, 2, 1, 0, 3, 0, 2, 0, 2, 1, 1, 1, 4, 3, 0, 2, 2, 0, 1, 1, 1, 1, 1, 4, 2, 1, 4, 4, 4, 4, 4, 3, 3, 3, 2, 4, 2, 4, 1, 0, 4, 0, 0, 3, 1, 4, 1, 3, 0, 0]
pubkeycol1087 = [3, 3, 0, 2, 3, 3, 3, 0, 0, 3, 4, 4, 4, 0, 2, 3, 2, 0, 2, 4, 2, 3, 0, 4, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 1, 3, 3, 4, 3, 2, 2, 4, 1, 0, 1, 3, 1, 1, 0, 4, 0, 0, 4, 1, 4, 1, 1, 2, 1, 3, 0, 0, 0, 3, 3, 1, 0, 1, 3, 3, 1, 4, 2, 1, 1, 1, 3, 4, 3, 2, 4, 4, 1, 3, 1, 2, 4, 2, 2, 0, 3, 0, 4, 4, 3, 1, 4, 0, 4, 3, 1, 2, 4, 2, 1, 0, 0, 4, 0, 3, 2, 3, 1, 4, 4, 2, 3, 0, 0, 0, 4, 4, 1, 3, 2, 2, 1, 0, 2, 0, 1, 1, 3, 2, 0, 1, 4, 0, 1, 2, 2, 0, 2, 0, 1, 2, 3, 1, 4, 0, 4, 2, 0, 3, 0, 4, 3, 1, 1, 3, 1, 2, 4, 3, 0, 4, 3, 0, 1, 1, 2, 0, 0, 1, 4, 0, 2, 3, 1, 3, 4, 0, 0, 1, 4, 0, 4, 3, 0, 4, 2, 4, 2, 3, 1, 2, 3, 4, 4, 0, 1, 1, 1, 2, 1, 2, 1, 4, 2, 4, 2, 0, 2, 2, 2, 2, 3, 2, 4, 4, 3, 0, 4, 3, 2, 0, 0, 1, 4, 0, 3, 4, 2, 2, 2, 1, 0, 4, 0, 2, 3, 2, 4, 3, 0, 4, 1, 0, 1, 0, 4, 2, 4, 0, 2, 1, 3, 0, 1, 3, 0, 3, 0, 0, 4, 3, 4, 2, 4, 3, 4, 3, 0, 4, 2, 0, 3, 0, 3, 2, 2, 4, 2, 0, 2, 3, 3, 4, 4, 3, 0, 3, 4, 2, 3, 3, 3, 1, 1, 3, 3, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 3, 4, 4]
pubkeycol1088 = [2, 1, 2, 4, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 4, 4, 3, 4, 1, 2, 2, 0, 2, 2, 3, 4, 2, 3, 2, 0, 4, 4, 3, 1, 4, 3, 2, 3, 3, 2, 1, 2, 4, 1, 3, 1, 2, 2, 0, 1, 1, 2, 3, 1, 4, 4, 1, 0, 3, 1, 2, 1, 2, 4, 4, 3, 3, 4, 3, 0, 0, 2, 3, 3, 1, 2, 4, 0, 1, 4, 1, 3, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 4, 1, 0, 1, 2, 1, 4, 2, 1, 1, 3, 2, 1, 2, 0, 4, 3, 1, 1, 3, 3, 1, 2, 3, 0, 3, 0, 2, 2, 1, 4, 1, 4, 0, 0, 0, 0, 4, 0, 1, 3, 0, 0, 0, 3, 1, 3, 4, 0, 4, 4, 3, 0, 0, 3, 2, 2, 0, 3, 1, 0, 3, 3, 2, 1, 4, 3, 2, 0, 0, 2, 4, 4, 0, 4, 1, 4, 0, 2, 0, 4, 0, 4, 2, 1, 3, 2, 2, 4, 3, 1, 4, 2, 2, 4, 3, 2, 0, 2, 3, 3, 2, 3, 0, 4, 4, 4, 2, 3, 0, 0, 3, 4, 4, 3, 0, 2, 3, 4, 3, 3, 0, 3, 1, 4, 4, 2, 0, 4, 4, 4, 3, 3, 4, 1, 3, 3, 0, 2, 1, 1, 2, 0, 4, 4, 0, 0, 1, 0, 2, 3, 2, 0, 0, 1, 4, 4, 2, 3, 3, 0, 2, 1, 4, 3, 1, 4, 4, 1, 0, 1, 2, 4, 0, 4, 4, 4, 2, 3, 3, 1, 1, 3, 3, 1, 2, 4, 4, 2, 1, 4, 2, 0, 3, 2, 3, 2, 1, 3, 2, 3, 0, 3, 4, 3, 0, 0, 0, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 3, 3, 3, 2, 4, 4, 3, 1, 4]
pubkeycol1089 = [4, 3, 0, 4, 2, 0, 3, 1, 3, 0, 4, 0, 0, 2, 0, 0, 3, 1, 1, 1, 4, 3, 2, 4, 4, 4, 0, 3, 0, 0, 3, 0, 3, 2, 1, 1, 1, 3, 0, 2, 2, 0, 3, 1, 2, 3, 0, 3, 1, 2, 2, 3, 0, 2, 2, 0, 4, 3, 2, 2, 1, 2, 3, 0, 4, 3, 2, 0, 1, 1, 2, 1, 1, 0, 1, 3, 0, 4, 2, 1, 2, 1, 3, 3, 2, 2, 1, 3, 4, 4, 4, 3, 4, 2, 2, 1, 0, 2, 1, 2, 4, 4, 4, 0, 1, 3, 2, 3, 1, 0, 3, 4, 4, 3, 0, 1, 2, 4, 1, 0, 3, 3, 3, 1, 1, 0, 0, 1, 4, 3, 1, 1, 3, 3, 1, 1, 3, 0, 4, 2, 1, 1, 4, 0, 1, 4, 4, 1, 2, 2, 0, 4, 3, 4, 3, 2, 4, 4, 3, 0, 4, 3, 3, 3, 0, 3, 4, 2, 4, 1, 0, 0, 0, 4, 1, 0, 3, 1, 3, 1, 3, 0, 2, 2, 0, 0, 0, 4, 2, 2, 3, 1, 3, 1, 4, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 1, 0, 1, 0, 3, 0, 0, 0, 4, 1, 2, 0, 3, 0, 4, 2, 2, 2, 1, 2, 0, 0, 4, 1, 3, 2, 1, 4, 2, 3, 3, 3, 3, 4, 1, 0, 2, 0, 1, 4, 3, 3, 3, 2, 3, 4, 1, 3, 3, 2, 1, 2, 2, 1, 0, 3, 3, 3, 2, 0, 1, 3, 0, 2, 3, 0, 1, 1, 4, 3, 0, 3, 2, 2, 4, 1, 1, 4, 1, 4, 4, 3, 0, 2, 0, 0, 4, 4, 2, 3, 2, 4, 3, 4, 1, 1, 4, 4, 1, 2, 0, 1, 3, 1, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0]
pubkeycol1090 = [1, 4, 2, 0, 1, 3, 1, 0, 0, 2, 3, 0, 0, 3, 0, 3, 4, 1, 3, 1, 2, 4, 1, 0, 2, 3, 2, 4, 0, 3, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 4, 1, 4, 3, 4, 2, 3, 4, 4, 4, 4, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 2, 2, 1, 3, 3, 3, 2, 2, 3, 4, 0, 3, 3, 0, 3, 3, 2, 0, 1, 1, 3, 3, 1, 0, 1, 1, 4, 0, 3, 3, 4, 4, 2, 3, 2, 4, 1, 2, 4, 0, 3, 4, 0, 0, 0, 3, 3, 0, 3, 4, 3, 1, 3, 3, 1, 3, 1, 3, 4, 0, 4, 1, 0, 2, 0, 1, 4, 2, 4, 0, 3, 2, 3, 2, 1, 3, 3, 4, 2, 1, 4, 3, 3, 0, 3, 0, 3, 1, 2, 0, 1, 1, 0, 4, 2, 0, 0, 3, 1, 3, 0, 1, 4, 1, 0, 4, 0, 2, 1, 0, 3, 0, 0, 2, 0, 2, 3, 1, 1, 1, 2, 0, 2, 2, 3, 0, 2, 1, 3, 1, 4, 2, 0, 2, 1, 0, 3, 1, 4, 4, 2, 1, 0, 3, 1, 3, 0, 0, 0, 2, 4, 4, 1, 4, 2, 2, 4, 3, 1, 2, 0, 4, 4, 1, 3, 1, 0, 0, 0, 4, 3, 2, 3, 0, 0, 1, 4, 2, 0, 1, 1, 1, 1, 3, 2, 3, 1, 2, 4, 2, 4, 2, 1, 3, 2, 4, 0, 3, 3, 3, 3, 4, 3, 0, 1, 3, 1, 4, 2, 4, 4, 3, 2, 2, 3, 2, 1, 2, 1, 3, 1, 3, 0, 4, 1, 0, 4, 1, 4, 1, 4, 0, 3, 1, 3, 3, 3, 2, 4, 0, 0, 1, 2, 0, 2, 1, 0, 4, 0, 3, 4, 1]
pubkeycol1091 = [3, 0, 2, 1, 0, 3, 1, 4, 1, 2, 4, 4, 2, 3, 2, 2, 1, 1, 0, 3, 1, 3, 1, 0, 4, 3, 3, 2, 3, 4, 1, 2, 4, 2, 0, 1, 4, 1, 2, 2, 2, 0, 0, 1, 4, 3, 1, 2, 0, 0, 1, 3, 3, 3, 2, 1, 2, 1, 3, 4, 1, 0, 2, 0, 4, 1, 4, 0, 2, 0, 3, 4, 1, 3, 4, 4, 4, 1, 1, 2, 2, 2, 4, 1, 2, 4, 1, 2, 3, 0, 0, 1, 2, 0, 3, 1, 3, 0, 3, 1, 0, 3, 4, 0, 0, 3, 0, 4, 1, 2, 2, 3, 0, 2, 1, 3, 4, 1, 0, 1, 4, 1, 4, 3, 3, 2, 3, 1, 2, 0, 3, 2, 1, 4, 1, 2, 0, 0, 0, 3, 2, 0, 0, 4, 4, 1, 2, 4, 0, 3, 4, 4, 0, 4, 2, 4, 2, 2, 3, 0, 2, 0, 3, 3, 0, 3, 3, 1, 4, 4, 2, 1, 4, 1, 2, 3, 1, 4, 1, 0, 3, 0, 1, 3, 2, 3, 0, 4, 2, 0, 1, 4, 0, 4, 3, 1, 0, 3, 3, 0, 0, 4, 4, 0, 2, 3, 2, 4, 3, 0, 3, 3, 4, 2, 4, 1, 3, 4, 0, 4, 2, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 3, 0, 4, 0, 1, 1, 4, 1, 2, 4, 3, 1, 4, 3, 0, 4, 1, 2, 1, 0, 4, 0, 0, 0, 1, 0, 1, 4, 1, 3, 4, 4, 2, 0, 2, 3, 2, 0, 3, 2, 0, 3, 1, 0, 4, 2, 0, 0, 4, 4, 1, 0, 1, 2, 1, 2, 4, 1, 4, 2, 3, 0, 4, 2, 1, 2, 2, 4, 2, 0, 2, 3, 1, 3, 4, 2, 0, 3, 2, 0, 3, 2, 4, 3, 0, 0, 2, 3, 4]
pubkeycol1092 = [1, 3, 1, 1, 1, 1, 3, 4, 2, 0, 2, 4, 1, 2, 4, 2, 0, 3, 1, 2, 1, 0, 4, 1, 0, 4, 4, 4, 3, 3, 3, 4, 1, 3, 3, 2, 0, 1, 3, 2, 0, 4, 2, 0, 0, 1, 1, 4, 3, 3, 4, 2, 0, 2, 3, 4, 3, 3, 1, 2, 1, 1, 1, 1, 0, 3, 3, 3, 4, 1, 0, 3, 0, 1, 0, 4, 0, 3, 2, 0, 0, 0, 3, 1, 2, 4, 0, 3, 2, 1, 4, 3, 2, 2, 2, 0, 4, 1, 1, 3, 0, 0, 2, 0, 0, 3, 0, 0, 3, 1, 0, 0, 1, 3, 1, 3, 1, 0, 3, 3, 4, 3, 0, 3, 0, 4, 2, 2, 4, 4, 0, 2, 0, 1, 0, 3, 0, 4, 2, 4, 1, 3, 3, 2, 3, 2, 2, 0, 3, 0, 4, 0, 0, 3, 3, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 4, 1, 4, 0, 3, 2, 3, 2, 3, 1, 4, 4, 0, 3, 2, 3, 4, 0, 0, 1, 4, 3, 4, 1, 2, 2, 2, 0, 2, 3, 4, 1, 4, 1, 0, 0, 4, 1, 4, 2, 3, 1, 1, 1, 2, 4, 3, 2, 0, 0, 3, 0, 4, 0, 2, 0, 1, 4, 3, 0, 3, 1, 4, 4, 0, 4, 4, 2, 0, 3, 4, 3, 1, 0, 0, 0, 1, 2, 2, 2, 3, 1, 3, 4, 4, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 2, 4, 2, 3, 0, 2, 0, 1, 4, 1, 3, 3, 3, 1, 0, 4, 4, 0, 0, 1, 0, 4, 1, 1, 1, 1, 4, 0, 2, 1, 2, 3, 0, 2, 1, 4, 4, 3, 2, 0, 4, 1, 0, 1, 1, 4, 3, 3, 4, 1, 0, 3, 1, 3, 2, 3, 0, 3, 2]
pubkeycol1093 = [3, 3, 2, 3, 2, 2, 2, 1, 0, 2, 3, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 0, 3, 2, 2, 3, 4, 2, 1, 4, 2, 4, 2, 2, 2, 4, 3, 0, 0, 2, 3, 0, 3, 3, 3, 3, 0, 0, 4, 1, 4, 3, 1, 1, 3, 0, 2, 4, 4, 1, 3, 2, 4, 2, 2, 3, 4, 0, 0, 4, 0, 4, 2, 3, 2, 3, 3, 0, 1, 4, 0, 1, 3, 1, 4, 4, 3, 2, 0, 3, 1, 2, 2, 2, 2, 0, 4, 4, 2, 3, 2, 4, 0, 1, 3, 4, 2, 0, 0, 0, 1, 2, 3, 3, 4, 2, 0, 0, 1, 1, 3, 0, 4, 1, 1, 4, 2, 4, 1, 3, 3, 4, 4, 2, 3, 1, 1, 4, 1, 2, 3, 1, 4, 3, 1, 4, 0, 0, 1, 2, 4, 3, 2, 2, 1, 0, 4, 2, 1, 1, 4, 4, 2, 0, 0, 4, 3, 0, 3, 4, 2, 3, 2, 2, 2, 2, 4, 0, 4, 2, 0, 0, 4, 4, 0, 3, 1, 4, 4, 4, 3, 0, 0, 3, 4, 1, 2, 4, 0, 4, 4, 2, 0, 2, 1, 2, 1, 4, 0, 1, 4, 4, 3, 1, 4, 2, 1, 4, 0, 1, 2, 0, 4, 4, 2, 2, 2, 0, 0, 3, 4, 1, 0, 4, 0, 2, 2, 1, 1, 4, 3, 1, 2, 4, 4, 0, 3, 1, 4, 4, 2, 4, 0, 4, 0, 4, 2, 4, 4, 1, 2, 0, 2, 3, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 3, 4, 0, 3, 2, 0, 4, 0, 3, 3, 3, 3, 0, 1, 3, 1, 0, 3, 3, 1, 3, 3, 0, 4, 1, 2, 3, 1, 1, 4, 2, 3, 2, 4, 4, 4, 1, 2, 4, 2, 4, 1, 1, 2, 3]
pubkeycol1094 = [3, 0, 3, 1, 2, 0, 0, 2, 3, 3, 2, 1, 1, 2, 1, 1, 2, 2, 3, 0, 4, 4, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 3, 0, 0, 4, 4, 2, 4, 0, 1, 3, 4, 3, 1, 4, 3, 4, 3, 4, 3, 1, 1, 2, 1, 0, 3, 3, 0, 2, 0, 1, 2, 2, 2, 0, 0, 3, 4, 1, 3, 1, 1, 2, 1, 0, 3, 4, 3, 3, 3, 3, 3, 3, 1, 2, 4, 1, 3, 0, 2, 1, 3, 1, 4, 2, 0, 1, 3, 0, 2, 4, 4, 2, 3, 0, 1, 2, 2, 3, 3, 0, 3, 2, 2, 0, 1, 4, 2, 3, 1, 4, 2, 1, 2, 4, 4, 4, 3, 4, 4, 1, 2, 2, 3, 1, 2, 3, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 3, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 3, 3, 0, 0, 1, 2, 2, 3, 1, 1, 0, 0, 0, 0, 3, 1, 1, 4, 3, 2, 2, 1, 1, 3, 0, 4, 3, 0, 0, 2, 2, 3, 1, 1, 1, 3, 0, 2, 0, 4, 0, 2, 0, 1, 4, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 4, 1, 0, 2, 1, 3, 0, 4, 4, 3, 1, 3, 1, 0, 2, 3, 0, 4, 3, 1, 3, 2, 2, 0, 1, 4, 2, 1, 3, 1, 4, 2, 3, 1, 3, 0, 3, 4, 2, 1, 4, 2, 4, 3, 2, 1, 1, 2, 1, 0, 2, 4, 3, 4, 0, 2, 2, 1, 0, 2, 0, 4, 3, 4, 0, 0, 2, 1, 0, 4, 3, 2, 3, 0, 3, 1, 3, 2, 1, 4, 0, 4, 2, 2, 0, 1, 3, 4, 0, 0, 3, 1, 0, 0, 0, 0, 1, 0, 2]
pubkeycol1095 = [3, 0, 2, 4, 3, 2, 0, 2, 1, 2, 3, 3, 1, 3, 0, 4, 3, 4, 1, 0, 1, 1, 4, 1, 0, 2, 4, 3, 4, 2, 1, 4, 3, 4, 4, 3, 4, 0, 0, 1, 3, 1, 2, 1, 1, 3, 0, 3, 4, 1, 4, 4, 3, 2, 0, 3, 4, 1, 4, 4, 4, 1, 1, 4, 2, 0, 1, 2, 2, 3, 4, 3, 2, 2, 1, 1, 2, 4, 4, 1, 1, 3, 4, 3, 1, 3, 3, 0, 0, 2, 2, 3, 3, 0, 2, 0, 1, 4, 4, 1, 0, 1, 0, 1, 0, 1, 0, 0, 4, 3, 3, 1, 1, 0, 1, 4, 1, 2, 4, 2, 2, 4, 1, 2, 0, 4, 1, 4, 1, 2, 1, 0, 0, 2, 0, 0, 0, 4, 4, 0, 3, 2, 0, 1, 0, 4, 1, 3, 2, 1, 0, 2, 2, 0, 0, 0, 1, 4, 0, 1, 3, 2, 3, 1, 0, 4, 0, 3, 0, 2, 3, 1, 0, 0, 4, 3, 2, 3, 4, 2, 4, 0, 3, 2, 0, 3, 2, 3, 4, 1, 4, 2, 2, 3, 2, 2, 2, 2, 3, 4, 0, 3, 2, 1, 2, 4, 4, 3, 1, 1, 2, 2, 4, 2, 3, 3, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 3, 4, 0, 4, 0, 2, 1, 0, 0, 0, 4, 2, 3, 1, 3, 4, 0, 4, 1, 3, 2, 3, 3, 3, 3, 0, 3, 4, 2, 0, 2, 1, 3, 2, 0, 1, 2, 1, 4, 2, 3, 0, 0, 3, 2, 1, 0, 3, 2, 4, 2, 1, 2, 4, 4, 0, 0, 2, 1, 4, 0, 3, 0, 2, 0, 0, 4, 1, 0, 0, 0, 3, 2, 3, 3, 2, 2, 3, 0, 4, 4, 4, 3, 2, 3, 1, 0, 0, 3, 0, 4, 0, 3]
pubkeycol1096 = [1, 4, 3, 3, 1, 4, 2, 0, 4, 3, 2, 2, 4, 4, 2, 4, 1, 3, 1, 1, 1, 0, 3, 4, 1, 4, 0, 4, 3, 2, 4, 4, 2, 1, 2, 2, 0, 0, 4, 2, 4, 0, 3, 2, 1, 3, 4, 1, 4, 2, 0, 2, 2, 0, 3, 2, 0, 0, 4, 3, 1, 3, 3, 4, 4, 4, 4, 4, 1, 0, 4, 2, 0, 1, 1, 1, 0, 1, 3, 0, 1, 4, 2, 1, 2, 1, 3, 3, 1, 2, 4, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 3, 4, 2, 2, 3, 3, 4, 3, 1, 4, 0, 1, 4, 2, 2, 1, 0, 2, 2, 0, 3, 4, 2, 0, 2, 2, 1, 1, 2, 3, 0, 3, 3, 1, 1, 4, 1, 2, 4, 1, 2, 2, 4, 0, 4, 2, 1, 2, 2, 2, 0, 3, 0, 1, 2, 1, 2, 3, 0, 4, 0, 3, 2, 4, 2, 3, 3, 3, 1, 0, 3, 4, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 3, 2, 4, 3, 4, 1, 2, 2, 1, 1, 0, 4, 4, 0, 3, 0, 0, 4, 2, 2, 3, 4, 1, 0, 2, 1, 2, 4, 3, 1, 2, 0, 2, 1, 4, 3, 4, 0, 0, 2, 4, 3, 2, 2, 1, 3, 4, 2, 2, 4, 0, 2, 3, 4, 1, 1, 4, 1, 0, 2, 4, 2, 3, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 4, 2, 0, 1, 3, 3, 3, 2, 0, 1, 2, 4, 4, 0, 4, 3, 3, 3, 1, 0, 3, 2, 4, 0, 3, 0, 2, 3, 2, 1, 4, 1, 3, 4, 3, 2, 1, 4, 0, 3, 4, 4, 0, 3, 1, 3, 0, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 0, 4, 4]
pubkeycol1097 = [3, 2, 3, 4, 4, 4, 0, 3, 1, 3, 1, 1, 3, 3, 3, 3, 2, 1, 0, 1, 4, 1, 3, 2, 4, 2, 3, 0, 3, 4, 4, 1, 4, 0, 0, 4, 2, 0, 4, 0, 1, 4, 0, 2, 4, 1, 1, 0, 2, 4, 3, 2, 3, 3, 1, 1, 4, 4, 3, 3, 0, 0, 4, 4, 2, 2, 4, 0, 4, 2, 4, 4, 0, 2, 1, 1, 4, 1, 2, 3, 3, 2, 1, 0, 4, 0, 3, 0, 0, 0, 2, 4, 0, 3, 4, 3, 3, 0, 2, 3, 2, 0, 2, 2, 3, 0, 0, 4, 4, 1, 0, 1, 2, 2, 3, 0, 1, 0, 1, 3, 1, 3, 0, 2, 2, 4, 4, 4, 4, 0, 3, 1, 2, 2, 4, 2, 1, 1, 4, 0, 4, 0, 1, 3, 2, 1, 4, 0, 1, 3, 1, 0, 2, 0, 2, 3, 0, 0, 0, 1, 0, 3, 0, 1, 0, 1, 1, 2, 3, 0, 2, 0, 2, 0, 3, 3, 0, 1, 4, 1, 0, 3, 3, 4, 2, 3, 2, 2, 2, 0, 2, 0, 3, 2, 1, 3, 0, 0, 0, 3, 4, 4, 2, 3, 0, 1, 1, 1, 0, 4, 3, 2, 1, 0, 2, 4, 2, 1, 4, 1, 3, 3, 4, 1, 4, 2, 1, 3, 1, 4, 4, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 0, 2, 2, 2, 3, 1, 1, 3, 0, 2, 3, 4, 2, 3, 1, 2, 2, 2, 4, 1, 0, 2, 0, 1, 0, 1, 4, 3, 4, 4, 3, 4, 2, 3, 2, 3, 4, 4, 3, 3, 4, 0, 4, 1, 2, 0, 2, 2, 0, 0, 0, 4, 4, 3, 3, 4, 2, 1, 3, 1, 1, 0, 3, 1, 3, 3, 2, 1, 1, 2, 4, 0, 4, 0, 3, 4, 4, 0]
pubkeycol1098 = [2, 3, 1, 1, 0, 2, 1, 3, 2, 3, 4, 0, 0, 1, 2, 3, 0, 4, 2, 3, 4, 0, 0, 1, 2, 3, 1, 0, 2, 3, 0, 0, 0, 0, 2, 3, 0, 1, 4, 2, 0, 0, 1, 1, 4, 3, 2, 1, 0, 1, 3, 0, 4, 1, 1, 2, 1, 0, 2, 4, 0, 3, 4, 4, 1, 2, 1, 1, 1, 4, 3, 2, 0, 4, 2, 1, 2, 2, 1, 2, 2, 0, 1, 4, 2, 3, 1, 4, 2, 4, 1, 3, 4, 4, 0, 1, 2, 1, 1, 4, 0, 3, 2, 0, 4, 2, 4, 0, 3, 0, 4, 1, 3, 1, 1, 0, 3, 2, 3, 3, 1, 2, 3, 3, 2, 3, 1, 3, 0, 2, 0, 2, 1, 1, 3, 3, 1, 1, 3, 4, 2, 4, 1, 1, 2, 3, 3, 2, 3, 0, 2, 0, 0, 1, 1, 0, 1, 4, 1, 0, 0, 4, 4, 3, 0, 0, 1, 2, 1, 0, 1, 3, 3, 3, 4, 0, 0, 2, 1, 1, 3, 2, 2, 0, 3, 1, 1, 4, 1, 3, 4, 1, 0, 3, 3, 0, 2, 2, 3, 3, 4, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0, 2, 3, 1, 1, 0, 1, 0, 2, 2, 4, 2, 0, 0, 1, 1, 4, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 0, 0, 1, 1, 0, 0, 2, 2, 3, 4, 2, 0, 1, 0, 3, 4, 1, 0, 1, 1, 4, 0, 3, 0, 0, 2, 3, 4, 3, 2, 4, 3, 2, 3, 3, 4, 1, 3, 1, 0, 3, 1, 3, 1, 2, 4, 4, 3, 1, 0, 1, 2, 2, 0, 4, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 4, 2, 1, 2, 1, 0, 4, 2, 3, 4, 0, 2]
pubkeycol1099 = [3, 2, 3, 4, 1, 3, 2, 0, 3, 2, 1, 1, 2, 2, 1, 0, 3, 2, 4, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 3, 0, 3, 2, 3, 3, 3, 0, 3, 4, 0, 1, 4, 2, 2, 2, 4, 3, 1, 3, 0, 2, 2, 2, 3, 2, 1, 0, 2, 0, 1, 1, 2, 4, 2, 4, 2, 3, 4, 0, 3, 3, 4, 0, 2, 1, 2, 4, 2, 0, 3, 0, 4, 2, 3, 3, 2, 4, 1, 3, 2, 2, 3, 1, 4, 1, 0, 3, 0, 4, 0, 2, 4, 1, 4, 4, 0, 3, 4, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 2, 3, 3, 2, 1, 4, 2, 3, 0, 4, 2, 3, 1, 1, 1, 1, 1, 4, 2, 4, 0, 3, 0, 1, 3, 4, 4, 2, 2, 1, 2, 3, 4, 4, 4, 3, 1, 2, 2, 1, 3, 3, 0, 3, 2, 3, 2, 2, 3, 1, 2, 1, 4, 0, 2, 3, 2, 3, 3, 0, 0, 2, 0, 0, 4, 4, 0, 3, 2, 1, 2, 3, 2, 2, 4, 2, 2, 3, 0, 1, 1, 1, 2, 3, 1, 3, 0, 0, 2, 2, 2, 3, 4, 2, 0, 0, 2, 1, 1, 0, 4, 1, 0, 2, 1, 3, 4, 1, 2, 3, 2, 2, 4, 2, 1, 1, 2, 4, 4, 0, 3, 1, 1, 1, 1, 3, 2, 2, 1, 1, 3, 4, 0, 1, 4, 1, 1, 1, 3, 3, 0, 3, 1, 2, 1, 3, 4, 1, 4, 1, 0, 1, 0, 4, 1, 3, 0, 1, 0, 1, 0, 0, 4, 4, 3, 4, 0, 4, 4, 3, 3, 2, 0, 2, 1, 4, 3, 4, 1, 3, 0, 3, 4, 2, 0, 3, 1, 4, 1, 3, 0, 4, 0, 4, 4, 4, 0]
pubkeycol1100 = [4, 1, 3, 1, 2, 2, 1, 1, 3, 3, 0, 4, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 4, 0, 1, 3, 0, 4, 2, 2, 0, 2, 4, 4, 1, 4, 4, 1, 1, 4, 1, 3, 2, 2, 4, 4, 2, 0, 4, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 4, 0, 2, 3, 4, 0, 3, 4, 2, 3, 3, 0, 0, 1, 1, 4, 4, 1, 1, 0, 3, 1, 3, 3, 0, 4, 2, 3, 2, 2, 2, 4, 2, 3, 4, 1, 4, 4, 4, 2, 4, 3, 3, 2, 3, 4, 0, 3, 3, 1, 4, 3, 4, 0, 4, 2, 4, 0, 3, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 3, 4, 3, 4, 2, 2, 0, 1, 4, 3, 2, 1, 4, 2, 1, 3, 3, 4, 4, 0, 4, 0, 1, 2, 2, 2, 1, 1, 4, 1, 0, 1, 0, 4, 2, 3, 4, 4, 3, 4, 2, 2, 1, 3, 2, 1, 1, 1, 1, 2, 2, 0, 3, 1, 4, 0, 3, 0, 1, 4, 4, 2, 3, 2, 3, 4, 3, 2, 4, 4, 2, 1, 0, 2, 1, 2, 2, 1, 1, 3, 3, 4, 4, 4, 3, 4, 1, 0, 4, 1, 3, 3, 2, 1, 3, 4, 4, 0, 1, 0, 2, 0, 2, 4, 1, 4, 3, 3, 2, 0, 0, 3, 1, 1, 4, 1, 3, 2, 4, 1, 0, 0, 3, 0, 1, 1, 3, 1, 0, 3, 4, 0, 0, 2, 0, 3, 2, 3, 1, 2, 1, 2, 0, 2, 0, 0, 4, 0, 4, 1, 2, 1, 2, 2, 0, 2, 2, 4, 4, 1, 4, 1, 1, 4, 1, 2, 2, 3, 3, 0, 1, 4, 1, 4, 2, 1, 3, 2, 0, 4, 2, 0, 0, 0, 2, 3, 0, 0]
pubkeycol1101 = [4, 1, 0, 1, 0, 2, 0, 4, 2, 4, 4, 3, 2, 4, 2, 0, 2, 1, 0, 3, 4, 3, 4, 0, 1, 2, 3, 2, 3, 4, 4, 1, 1, 0, 3, 0, 3, 3, 2, 0, 2, 1, 1, 4, 3, 1, 1, 2, 3, 4, 4, 4, 2, 4, 0, 4, 0, 4, 2, 1, 4, 4, 4, 4, 0, 0, 2, 3, 1, 1, 1, 4, 4, 3, 3, 0, 4, 0, 2, 0, 1, 0, 1, 4, 2, 1, 3, 1, 0, 4, 0, 4, 0, 3, 1, 3, 3, 3, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 3, 0, 1, 3, 2, 4, 4, 0, 4, 2, 4, 4, 4, 4, 2, 1, 1, 1, 3, 2, 0, 0, 4, 4, 4, 1, 3, 4, 3, 1, 1, 1, 1, 0, 4, 0, 3, 4, 4, 2, 3, 3, 0, 1, 3, 1, 3, 4, 2, 0, 2, 0, 4, 3, 3, 4, 4, 2, 2, 0, 0, 3, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 2, 0, 3, 2, 2, 4, 1, 0, 1, 0, 4, 0, 2, 4, 0, 3, 2, 2, 0, 4, 3, 2, 0, 4, 3, 0, 2, 4, 4, 1, 2, 4, 4, 0, 4, 1, 0, 0, 3, 0, 1, 0, 4, 3, 2, 3, 2, 2, 2, 0, 3, 1, 2, 0, 0, 3, 3, 2, 1, 4, 2, 1, 0, 1, 4, 2, 3, 0, 0, 4, 4, 1, 2, 1, 0, 0, 1, 2, 3, 3, 0, 4, 4, 4, 2, 2, 1, 4, 2, 0, 3, 3, 0, 3, 0, 1, 3, 3, 1, 0, 3, 4, 0, 3, 4, 4, 0, 2, 0, 2, 3, 2, 0, 4, 4, 0, 4, 4, 1, 0, 3, 0, 2, 3, 3, 1, 4, 3, 0, 1, 3, 0, 2, 0, 2, 4, 1, 0, 0]
pubkeycol1102 = [1, 0, 4, 3, 3, 1, 0, 0, 2, 3, 4, 1, 3, 2, 1, 0, 3, 1, 2, 1, 2, 0, 4, 0, 1, 3, 0, 3, 0, 1, 0, 1, 1, 4, 1, 3, 3, 2, 0, 3, 2, 2, 4, 3, 4, 4, 1, 4, 2, 2, 4, 0, 3, 1, 3, 3, 2, 0, 0, 2, 0, 1, 1, 3, 2, 4, 4, 4, 3, 4, 0, 3, 2, 2, 2, 2, 3, 4, 4, 1, 0, 4, 2, 4, 0, 4, 2, 0, 4, 1, 0, 4, 3, 0, 0, 0, 3, 1, 2, 0, 3, 1, 2, 0, 0, 1, 0, 4, 3, 2, 4, 3, 2, 2, 3, 3, 2, 3, 1, 3, 3, 4, 1, 3, 1, 4, 4, 1, 3, 4, 0, 1, 4, 1, 2, 1, 4, 3, 4, 2, 1, 1, 0, 3, 3, 0, 4, 3, 2, 1, 0, 4, 3, 2, 2, 3, 0, 4, 1, 4, 4, 4, 1, 3, 4, 2, 3, 3, 0, 0, 2, 3, 1, 1, 1, 1, 2, 2, 1, 0, 2, 4, 0, 2, 2, 1, 1, 3, 0, 2, 3, 0, 0, 1, 0, 0, 3, 4, 4, 2, 1, 4, 0, 0, 0, 2, 3, 2, 3, 0, 3, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 4, 4, 1, 4, 0, 3, 4, 3, 2, 1, 4, 3, 3, 0, 1, 0, 4, 2, 4, 1, 0, 3, 3, 1, 2, 2, 3, 0, 1, 0, 1, 3, 3, 3, 0, 4, 3, 4, 1, 0, 2, 1, 2, 0, 1, 3, 3, 0, 1, 4, 2, 1, 4, 3, 2, 0, 4, 2, 0, 0, 4, 3, 3, 1, 2, 4, 0, 0, 0, 1, 0, 4, 3, 1, 3, 4, 3, 1, 0, 4, 0, 2, 3, 4, 2, 3, 3, 4, 4, 4, 2, 3, 0, 4, 0, 4, 4, 4, 0]
pubkeycol1103 = [4, 1, 3, 2, 0, 4, 3, 0, 0, 0, 3, 1, 2, 3, 0, 0, 3, 3, 0, 2, 1, 1, 0, 2, 3, 2, 0, 1, 2, 3, 1, 4, 0, 1, 3, 3, 0, 4, 2, 1, 1, 1, 0, 1, 3, 4, 4, 4, 1, 3, 3, 2, 0, 3, 0, 3, 3, 3, 4, 0, 4, 0, 0, 4, 3, 0, 1, 1, 1, 0, 2, 4, 3, 4, 2, 2, 1, 0, 2, 4, 1, 3, 1, 4, 0, 0, 0, 2, 2, 0, 0, 2, 4, 2, 3, 1, 4, 3, 4, 2, 3, 3, 3, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 3, 3, 2, 1, 4, 3, 4, 3, 1, 1, 1, 0, 4, 4, 1, 4, 2, 3, 1, 3, 4, 0, 0, 3, 2, 3, 2, 1, 3, 3, 3, 4, 1, 4, 0, 4, 1, 3, 1, 2, 3, 1, 0, 3, 2, 3, 3, 1, 1, 2, 3, 3, 3, 4, 4, 1, 1, 4, 2, 0, 2, 3, 3, 4, 0, 1, 1, 2, 4, 4, 2, 1, 0, 0, 3, 2, 4, 3, 3, 3, 4, 4, 2, 3, 2, 3, 2, 1, 4, 2, 4, 4, 3, 1, 3, 3, 3, 0, 3, 4, 4, 1, 0, 3, 1, 3, 0, 2, 4, 0, 2, 0, 2, 3, 1, 1, 4, 1, 1, 4, 3, 3, 2, 4, 0, 4, 0, 3, 0, 1, 1, 1, 1, 3, 0, 0, 0, 1, 2, 4, 2, 2, 0, 1, 4, 2, 4, 3, 2, 3, 4, 1, 2, 1, 1, 1, 4, 4, 0, 2, 4, 3, 4, 4, 2, 3, 4, 1, 4, 0, 1, 4, 4, 2, 1, 3, 3, 2, 3, 3, 2, 1, 4, 1, 2, 3, 0, 3, 1, 1, 0, 2, 4, 4, 0, 3, 3, 0, 2, 3, 1, 2, 0, 1, 4, 3, 4]
pubkeycol1104 = [2, 4, 1, 4, 3, 0, 0, 1, 0, 3, 0, 1, 0, 0, 0, 3, 4, 1, 3, 1, 0, 3, 4, 2, 4, 4, 2, 0, 4, 0, 0, 0, 4, 2, 0, 4, 3, 1, 3, 4, 0, 0, 3, 1, 1, 1, 4, 1, 0, 3, 2, 4, 4, 3, 4, 0, 2, 3, 4, 1, 0, 2, 4, 0, 0, 0, 2, 2, 3, 4, 2, 2, 0, 0, 4, 2, 3, 4, 2, 4, 2, 1, 0, 1, 4, 3, 1, 0, 4, 1, 0, 2, 3, 2, 4, 4, 3, 0, 1, 1, 0, 1, 2, 2, 4, 0, 4, 4, 4, 0, 2, 4, 4, 1, 0, 1, 3, 2, 4, 4, 0, 3, 2, 3, 3, 1, 4, 1, 4, 2, 0, 0, 3, 4, 4, 0, 4, 4, 4, 1, 4, 1, 2, 3, 0, 0, 0, 2, 3, 2, 3, 1, 3, 1, 4, 3, 2, 4, 1, 2, 4, 2, 4, 1, 3, 3, 4, 0, 3, 4, 1, 0, 2, 3, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 0, 3, 4, 4, 0, 1, 2, 0, 2, 4, 3, 2, 3, 2, 2, 1, 4, 1, 4, 3, 4, 3, 0, 1, 0, 0, 3, 3, 2, 2, 1, 3, 0, 4, 3, 4, 3, 0, 0, 4, 1, 2, 4, 3, 2, 1, 4, 0, 2, 3, 4, 2, 3, 3, 4, 3, 0, 2, 4, 4, 1, 0, 3, 3, 0, 3, 4, 4, 3, 2, 2, 3, 2, 2, 2, 4, 3, 0, 3, 4, 3, 0, 2, 3, 0, 3, 2, 2, 2, 2, 4, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 4, 2, 2, 2, 3, 0, 3, 1, 4, 3, 2, 2, 3, 1, 3, 3, 4, 2, 4, 1, 4, 0, 4, 2, 4, 3, 3, 0, 1, 2, 1, 4, 3, 2, 3]
pubkeycol1105 = [1, 4, 1, 4, 4, 0, 2, 0, 1, 4, 4, 4, 1, 2, 4, 4, 3, 1, 0, 2, 3, 4, 3, 0, 3, 3, 3, 3, 2, 4, 0, 2, 1, 0, 0, 4, 3, 3, 4, 1, 0, 0, 4, 1, 3, 2, 2, 3, 1, 3, 2, 2, 1, 3, 4, 3, 3, 1, 2, 4, 1, 3, 4, 0, 4, 1, 4, 3, 3, 4, 0, 0, 2, 4, 2, 1, 3, 1, 0, 3, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 4, 2, 3, 3, 2, 3, 3, 0, 3, 1, 3, 0, 4, 3, 3, 4, 0, 4, 1, 0, 3, 0, 3, 0, 2, 1, 3, 2, 4, 0, 4, 2, 1, 0, 2, 3, 3, 4, 4, 2, 1, 0, 4, 0, 0, 3, 0, 1, 2, 3, 1, 1, 4, 2, 2, 2, 0, 2, 2, 0, 1, 2, 4, 1, 0, 4, 2, 4, 0, 3, 2, 0, 1, 3, 2, 2, 0, 2, 1, 0, 2, 1, 1, 4, 1, 4, 1, 1, 3, 4, 0, 0, 1, 4, 0, 3, 3, 1, 4, 4, 4, 2, 3, 3, 3, 3, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 1, 4, 2, 0, 4, 3, 0, 3, 0, 0, 0, 3, 1, 2, 4, 4, 0, 0, 1, 2, 2, 0, 3, 2, 4, 1, 3, 4, 0, 2, 4, 2, 2, 0, 3, 1, 2, 4, 3, 1, 1, 3, 0, 2, 2, 0, 2, 0, 0, 4, 0, 0, 1, 0, 1, 1, 3, 3, 0, 4, 2, 2, 0, 3, 2, 1, 1, 0, 1, 0, 1, 0, 3, 4, 3, 0, 0, 3, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 2, 1, 0, 2, 2, 2, 3, 1, 4, 3, 0, 1, 2, 0, 3, 2]
pubkeycol1106 = [3, 2, 2, 2, 3, 2, 1, 0, 2, 0, 2, 3, 2, 3, 3, 1, 3, 2, 0, 4, 2, 0, 2, 3, 4, 0, 2, 0, 3, 3, 1, 0, 1, 3, 0, 3, 3, 0, 1, 4, 0, 4, 4, 0, 3, 3, 0, 2, 1, 0, 4, 0, 2, 0, 0, 4, 4, 0, 4, 0, 1, 1, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 0, 1, 3, 2, 3, 4, 2, 3, 4, 0, 0, 2, 4, 4, 3, 3, 0, 1, 3, 2, 4, 3, 4, 1, 0, 1, 3, 0, 1, 4, 0, 2, 3, 3, 2, 1, 2, 3, 1, 3, 4, 3, 4, 1, 2, 0, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 2, 1, 2, 3, 3, 0, 0, 1, 2, 1, 4, 2, 2, 3, 4, 4, 2, 4, 4, 2, 3, 0, 4, 4, 2, 3, 3, 3, 3, 4, 0, 3, 3, 2, 4, 3, 4, 1, 4, 1, 3, 3, 1, 3, 3, 4, 0, 2, 3, 1, 1, 2, 0, 3, 3, 0, 0, 3, 0, 0, 4, 4, 3, 3, 2, 2, 0, 3, 2, 3, 2, 1, 4, 4, 4, 0, 0, 2, 1, 1, 4, 4, 1, 3, 0, 1, 4, 0, 3, 1, 0, 0, 3, 0, 4, 3, 4, 4, 2, 1, 2, 4, 0, 1, 3, 1, 1, 1, 4, 2, 2, 0, 0, 4, 4, 3, 1, 0, 3, 4, 1, 0, 0, 0, 3, 0, 1, 1, 4, 2, 0, 4, 3, 0, 1, 2, 1, 4, 2, 2, 0, 1, 0, 1, 1, 4, 3, 0, 3, 4, 2, 3, 2, 3, 4, 2, 1, 3, 4, 3, 2, 0, 3, 4, 0, 1, 3, 4, 2, 4, 1, 4, 1, 4, 4, 0, 2, 1, 1, 2, 0, 3, 4, 1, 4, 3, 4, 1, 3, 2, 1, 2]
pubkeycol1107 = [3, 0, 2, 1, 2, 2, 2, 4, 3, 3, 2, 2, 0, 3, 3, 3, 1, 4, 3, 1, 3, 4, 4, 2, 2, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 2, 0, 1, 4, 1, 2, 4, 0, 2, 2, 2, 1, 4, 2, 4, 3, 0, 1, 4, 2, 2, 4, 1, 0, 3, 1, 4, 4, 1, 0, 2, 4, 2, 3, 1, 0, 0, 2, 0, 2, 2, 4, 2, 4, 4, 1, 2, 4, 2, 3, 4, 0, 2, 0, 3, 3, 0, 4, 1, 3, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 4, 3, 1, 2, 1, 0, 1, 0, 4, 4, 4, 3, 0, 2, 1, 0, 1, 4, 3, 3, 4, 3, 4, 3, 2, 0, 4, 0, 2, 1, 0, 3, 4, 2, 3, 0, 2, 0, 4, 1, 3, 4, 1, 1, 1, 0, 3, 4, 3, 3, 1, 0, 0, 2, 0, 1, 2, 3, 4, 3, 2, 3, 0, 2, 1, 0, 0, 1, 2, 3, 0, 0, 3, 0, 1, 4, 1, 0, 2, 2, 0, 3, 3, 1, 0, 1, 2, 4, 3, 1, 0, 3, 2, 2, 0, 4, 3, 4, 2, 4, 2, 1, 2, 1, 0, 0, 1, 2, 4, 1, 1, 3, 1, 0, 4, 4, 0, 4, 2, 4, 3, 4, 1, 2, 2, 0, 4, 1, 1, 0, 1, 1, 3, 2, 2, 4, 3, 2, 0, 2, 0, 2, 0, 1, 3, 1, 3, 0, 1, 1, 2, 1, 1, 2, 4, 4, 1, 2, 0, 3, 4, 1, 1, 3, 1, 3, 1, 4, 4, 4, 0, 0, 0, 1, 3, 3, 3, 1, 2, 1, 4, 4, 1, 2, 4, 0, 4, 4, 4, 1, 1, 1, 3, 4, 1, 0, 2, 4, 1, 2, 4, 2, 2, 2, 4, 1, 1, 0, 0, 4, 4, 2, 1, 4]
pubkeycol1108 = [4, 4, 1, 3, 1, 3, 2, 4, 2, 0, 3, 1, 3, 3, 3, 2, 1, 3, 3, 1, 0, 3, 3, 3, 3, 0, 4, 3, 0, 0, 0, 3, 3, 1, 0, 3, 0, 3, 0, 0, 1, 3, 4, 4, 1, 2, 3, 1, 3, 1, 3, 2, 4, 1, 1, 3, 0, 2, 1, 1, 4, 2, 3, 3, 4, 4, 1, 3, 4, 1, 1, 4, 2, 0, 1, 1, 1, 1, 3, 4, 1, 4, 3, 0, 1, 3, 4, 3, 2, 0, 1, 1, 0, 4, 1, 4, 0, 2, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4, 4, 3, 2, 3, 3, 1, 2, 2, 1, 2, 2, 2, 3, 2, 2, 0, 1, 0, 1, 3, 4, 3, 3, 4, 0, 1, 4, 1, 2, 0, 2, 0, 3, 1, 3, 4, 1, 0, 4, 1, 2, 2, 0, 2, 3, 3, 2, 4, 1, 3, 4, 4, 2, 1, 4, 3, 0, 1, 2, 1, 4, 4, 2, 0, 3, 3, 3, 4, 2, 2, 1, 2, 3, 1, 3, 3, 2, 4, 3, 1, 0, 0, 4, 0, 0, 1, 1, 3, 2, 1, 1, 2, 4, 2, 0, 2, 3, 3, 4, 1, 1, 1, 0, 4, 4, 4, 3, 0, 4, 0, 0, 2, 2, 3, 3, 0, 2, 3, 3, 0, 0, 3, 1, 4, 2, 0, 0, 1, 0, 3, 2, 4, 1, 0, 1, 3, 1, 3, 3, 4, 3, 4, 1, 3, 0, 3, 4, 4, 0, 0, 2, 2, 3, 1, 1, 3, 1, 3, 0, 2, 1, 2, 0, 0, 3, 1, 0, 3, 0, 1, 0, 0, 1, 2, 4, 1, 3, 1, 4, 2, 0, 2, 1, 2, 3, 2, 0, 2, 4, 0, 4, 0, 3, 4, 3, 2, 4, 2, 0, 3, 1, 1, 1, 4, 4, 3, 0, 1, 4, 0, 4, 3]
pubkeycol1109 = [4, 0, 0, 4, 2, 4, 0, 1, 3, 4, 2, 4, 0, 0, 1, 0, 2, 4, 4, 4, 1, 3, 2, 4, 1, 2, 4, 4, 2, 0, 1, 1, 3, 3, 0, 4, 2, 4, 4, 0, 1, 0, 1, 3, 2, 4, 3, 3, 1, 1, 2, 0, 1, 2, 3, 0, 3, 2, 4, 4, 3, 0, 3, 0, 4, 0, 0, 3, 3, 1, 2, 4, 2, 3, 3, 0, 4, 4, 2, 4, 1, 1, 3, 0, 4, 4, 1, 4, 1, 0, 1, 2, 4, 3, 3, 2, 4, 0, 1, 2, 3, 3, 1, 3, 0, 2, 1, 1, 4, 3, 1, 3, 2, 4, 2, 4, 4, 4, 0, 4, 1, 2, 4, 4, 1, 4, 2, 3, 0, 2, 3, 4, 0, 2, 4, 2, 0, 3, 1, 2, 1, 2, 1, 1, 4, 2, 4, 0, 3, 2, 3, 3, 3, 3, 1, 3, 4, 0, 0, 0, 0, 1, 4, 1, 0, 3, 4, 4, 0, 3, 3, 2, 1, 4, 1, 3, 2, 3, 3, 1, 2, 4, 4, 2, 0, 0, 1, 0, 2, 4, 4, 2, 2, 1, 0, 0, 3, 2, 0, 2, 0, 0, 2, 3, 4, 4, 3, 4, 0, 2, 0, 2, 3, 1, 3, 2, 2, 0, 2, 1, 0, 2, 4, 0, 4, 3, 0, 0, 3, 2, 3, 4, 2, 4, 2, 1, 1, 0, 3, 0, 4, 2, 0, 2, 2, 3, 1, 1, 3, 4, 1, 4, 0, 2, 3, 4, 0, 2, 0, 3, 4, 0, 0, 2, 1, 1, 1, 4, 2, 4, 0, 1, 0, 4, 1, 3, 4, 4, 3, 1, 4, 0, 3, 0, 2, 3, 1, 0, 2, 4, 4, 4, 3, 0, 0, 4, 3, 3, 2, 0, 3, 4, 1, 0, 4, 1, 3, 3, 3, 4, 2, 4, 0, 3, 0, 2, 1, 0, 4, 0]
pubkeycol1110 = [3, 2, 4, 0, 0, 4, 0, 1, 3, 0, 0, 2, 0, 2, 2, 3, 1, 3, 3, 4, 3, 0, 3, 3, 1, 1, 2, 2, 4, 0, 2, 3, 2, 2, 3, 4, 0, 1, 2, 1, 4, 1, 1, 0, 1, 2, 4, 0, 2, 4, 2, 1, 0, 0, 0, 0, 4, 0, 2, 4, 3, 3, 0, 4, 4, 4, 0, 3, 4, 1, 3, 0, 1, 1, 0, 4, 1, 0, 2, 4, 3, 0, 2, 3, 3, 1, 2, 2, 1, 4, 4, 3, 0, 1, 2, 2, 0, 1, 0, 3, 1, 2, 3, 4, 2, 1, 2, 3, 2, 0, 1, 0, 3, 0, 2, 3, 3, 4, 2, 3, 4, 2, 1, 1, 4, 1, 2, 3, 1, 0, 2, 2, 1, 0, 3, 3, 1, 4, 4, 3, 4, 1, 3, 3, 1, 0, 4, 4, 1, 1, 4, 4, 2, 4, 2, 2, 4, 0, 0, 2, 1, 4, 3, 3, 1, 0, 1, 1, 0, 4, 1, 1, 2, 0, 3, 1, 0, 2, 4, 4, 0, 1, 3, 1, 1, 3, 0, 0, 4, 4, 2, 3, 1, 0, 1, 1, 1, 0, 2, 2, 2, 3, 2, 3, 1, 0, 0, 1, 0, 3, 1, 4, 0, 2, 1, 1, 3, 2, 2, 1, 3, 0, 4, 2, 2, 3, 2, 4, 1, 0, 1, 0, 0, 1, 1, 4, 0, 4, 0, 1, 1, 0, 3, 3, 2, 3, 1, 1, 4, 0, 4, 4, 1, 4, 3, 4, 0, 2, 0, 4, 4, 2, 4, 2, 4, 4, 3, 3, 0, 3, 2, 1, 3, 2, 3, 3, 4, 1, 3, 2, 4, 2, 0, 1, 0, 3, 2, 4, 3, 4, 4, 2, 2, 4, 3, 0, 0, 4, 4, 2, 3, 2, 1, 2, 4, 1, 3, 3, 1, 1, 4, 2, 4, 1, 2, 1, 0, 0, 4, 2]
pubkeycol1111 = [1, 0, 0, 4, 3, 0, 1, 1, 1, 4, 2, 0, 0, 2, 4, 2, 0, 1, 3, 1, 1, 4, 1, 0, 4, 3, 4, 3, 3, 4, 0, 0, 3, 0, 3, 2, 1, 0, 1, 4, 2, 4, 4, 0, 2, 3, 0, 4, 4, 4, 1, 1, 2, 0, 0, 3, 3, 2, 1, 3, 0, 4, 4, 0, 0, 0, 0, 0, 4, 1, 4, 0, 0, 1, 1, 3, 1, 1, 0, 1, 4, 2, 1, 4, 1, 0, 0, 1, 2, 3, 3, 2, 4, 3, 4, 3, 2, 0, 0, 4, 3, 3, 1, 1, 2, 3, 0, 3, 2, 1, 4, 2, 4, 3, 3, 3, 4, 3, 0, 1, 1, 0, 3, 1, 3, 0, 1, 4, 1, 4, 2, 4, 4, 4, 1, 0, 2, 1, 3, 0, 4, 1, 0, 4, 2, 2, 1, 3, 3, 0, 4, 0, 4, 2, 1, 0, 4, 2, 1, 1, 2, 2, 4, 3, 2, 1, 4, 2, 2, 1, 4, 1, 0, 0, 4, 3, 0, 3, 3, 3, 4, 0, 3, 2, 4, 2, 2, 4, 0, 0, 3, 0, 4, 4, 3, 4, 1, 0, 4, 4, 0, 2, 4, 4, 2, 0, 4, 3, 1, 4, 0, 3, 0, 1, 1, 1, 3, 2, 3, 4, 3, 4, 0, 3, 3, 4, 4, 4, 1, 1, 0, 2, 0, 0, 3, 3, 1, 3, 0, 3, 1, 3, 1, 0, 1, 1, 3, 2, 0, 3, 3, 0, 2, 0, 2, 0, 4, 2, 4, 4, 1, 4, 3, 0, 4, 3, 1, 0, 4, 0, 4, 2, 1, 3, 3, 4, 0, 1, 4, 3, 0, 1, 3, 4, 2, 0, 1, 2, 1, 3, 4, 0, 3, 4, 2, 4, 3, 3, 4, 0, 3, 4, 3, 2, 2, 3, 4, 1, 0, 0, 4, 3, 0, 3, 1, 3, 1, 1, 4, 1]
pubkeycol1112 = [4, 0, 2, 2, 0, 3, 0, 0, 1, 4, 0, 2, 0, 4, 2, 1, 1, 0, 1, 4, 4, 4, 2, 3, 3, 1, 3, 3, 3, 1, 4, 3, 4, 1, 2, 0, 3, 4, 3, 3, 1, 4, 4, 1, 3, 4, 4, 0, 2, 0, 2, 4, 0, 4, 1, 1, 0, 2, 1, 2, 2, 1, 1, 4, 3, 4, 1, 3, 2, 3, 4, 2, 0, 4, 0, 4, 4, 0, 0, 0, 0, 3, 4, 4, 0, 0, 4, 1, 4, 0, 1, 3, 4, 3, 1, 1, 4, 1, 0, 4, 3, 4, 0, 2, 2, 4, 4, 2, 0, 3, 0, 0, 3, 4, 4, 3, 4, 0, 3, 3, 0, 2, 2, 2, 2, 1, 1, 4, 1, 0, 2, 1, 4, 2, 1, 2, 1, 0, 1, 4, 0, 2, 0, 1, 3, 4, 2, 1, 4, 2, 3, 2, 2, 2, 0, 1, 4, 3, 3, 1, 0, 3, 1, 0, 2, 1, 1, 0, 4, 2, 3, 0, 3, 1, 1, 1, 1, 0, 1, 4, 0, 0, 0, 3, 4, 4, 0, 2, 3, 1, 0, 3, 4, 2, 3, 2, 2, 3, 0, 4, 2, 4, 1, 3, 3, 1, 1, 0, 4, 0, 3, 4, 0, 3, 4, 3, 3, 4, 0, 1, 0, 0, 2, 3, 2, 3, 2, 2, 4, 4, 4, 0, 2, 4, 2, 2, 1, 2, 1, 1, 0, 1, 3, 3, 1, 0, 0, 4, 4, 1, 3, 0, 3, 0, 4, 0, 2, 0, 1, 2, 2, 4, 0, 0, 0, 0, 3, 3, 3, 1, 1, 1, 1, 1, 4, 2, 3, 4, 4, 0, 0, 1, 4, 4, 4, 3, 3, 2, 4, 2, 0, 0, 4, 2, 0, 3, 0, 0, 2, 0, 1, 0, 4, 0, 4, 4, 0, 2, 0, 1, 0, 0, 3, 0, 4, 3, 4, 0, 2, 0]
pubkeycol1113 = [4, 0, 2, 2, 2, 1, 4, 4, 4, 4, 0, 4, 1, 4, 0, 0, 1, 2, 0, 3, 4, 2, 4, 3, 0, 0, 2, 2, 0, 4, 3, 1, 0, 2, 4, 4, 2, 2, 0, 3, 0, 1, 2, 1, 3, 2, 0, 3, 1, 3, 0, 3, 4, 0, 2, 1, 0, 3, 0, 1, 4, 1, 2, 3, 1, 1, 1, 2, 2, 4, 0, 1, 3, 4, 0, 2, 4, 1, 4, 0, 0, 1, 1, 4, 1, 0, 2, 2, 1, 3, 1, 3, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 3, 1, 3, 4, 3, 1, 2, 2, 3, 3, 1, 3, 4, 4, 2, 3, 1, 2, 0, 1, 0, 3, 0, 0, 1, 0, 3, 2, 3, 3, 4, 1, 2, 0, 3, 1, 2, 0, 1, 1, 3, 1, 3, 4, 4, 4, 0, 2, 3, 2, 2, 0, 1, 1, 1, 2, 0, 3, 1, 3, 4, 1, 3, 4, 1, 4, 4, 4, 4, 4, 2, 1, 0, 4, 3, 1, 0, 0, 3, 4, 1, 4, 1, 1, 2, 1, 0, 3, 2, 3, 1, 3, 3, 0, 2, 4, 0, 4, 2, 4, 1, 4, 0, 2, 2, 4, 3, 3, 2, 0, 0, 0, 2, 3, 1, 1, 0, 1, 3, 2, 4, 3, 2, 4, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 3, 0, 3, 0, 2, 3, 4, 1, 2, 4, 3, 1, 3, 3, 1, 3, 0, 1, 0, 4, 2, 1, 3, 2, 0, 4, 0, 1, 0, 4, 2, 2, 4, 2, 0, 4, 2, 0, 3, 2, 4, 1, 1, 3, 2, 4, 0, 1, 4, 3, 3, 4, 3, 1, 4, 3, 4, 3, 3, 2, 4, 1, 4, 0, 0, 2, 3, 2, 2, 1, 0, 2, 0, 3, 3, 4, 4, 3, 4, 1, 0, 3, 3, 3]
pubkeycol1114 = [4, 0, 4, 0, 2, 2, 1, 3, 3, 1, 0, 3, 3, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 0, 0, 0, 3, 0, 4, 4, 2, 4, 0, 0, 3, 3, 1, 4, 4, 2, 1, 1, 3, 4, 4, 1, 1, 2, 0, 3, 4, 2, 0, 1, 4, 0, 2, 2, 1, 0, 2, 1, 3, 1, 0, 0, 4, 2, 0, 2, 0, 2, 2, 4, 3, 3, 4, 2, 0, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 3, 2, 3, 1, 2, 3, 1, 0, 2, 2, 2, 4, 0, 3, 4, 2, 4, 2, 4, 4, 0, 3, 2, 4, 3, 0, 1, 2, 4, 2, 4, 4, 0, 1, 1, 2, 3, 1, 1, 3, 2, 4, 1, 1, 0, 4, 1, 3, 4, 4, 1, 0, 2, 2, 0, 3, 1, 3, 2, 4, 2, 0, 3, 1, 4, 0, 2, 4, 3, 4, 2, 3, 0, 0, 1, 0, 1, 4, 1, 1, 1, 3, 1, 1, 3, 0, 3, 2, 4, 3, 2, 3, 1, 3, 2, 4, 3, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 3, 4, 3, 3, 0, 2, 3, 0, 2, 4, 2, 4, 2, 2, 0, 1, 2, 4, 1, 3, 4, 0, 4, 0, 4, 0, 0, 0, 2, 1, 2, 2, 4, 2, 3, 4, 4, 3, 3, 2, 3, 3, 2, 1, 3, 1, 4, 1, 4, 3, 0, 1, 1, 4, 2, 2, 4, 1, 2, 4, 1, 2, 0, 3, 2, 1, 1, 4, 2, 3, 3, 4, 0, 1, 2, 1, 0, 2, 2, 2, 2, 4, 0, 4, 2, 3, 0, 3, 0, 3, 2, 4, 4, 3, 4, 3, 0, 4, 4, 1, 0, 1, 4, 0, 1, 1, 3, 2, 2, 1, 3, 3, 2, 4, 0, 3, 4, 1, 4, 2, 3, 4, 1]
pubkeycol1115 = [1, 1, 0, 4, 2, 4, 0, 4, 3, 2, 3, 2, 1, 0, 4, 0, 2, 0, 1, 1, 3, 2, 2, 4, 4, 4, 4, 0, 0, 2, 3, 3, 1, 3, 0, 0, 1, 1, 0, 0, 4, 0, 2, 0, 2, 1, 2, 3, 3, 0, 3, 0, 4, 3, 2, 0, 0, 4, 3, 3, 4, 2, 1, 3, 1, 1, 1, 4, 2, 3, 4, 2, 4, 1, 1, 4, 0, 4, 1, 0, 4, 4, 0, 2, 2, 3, 4, 4, 2, 4, 2, 0, 1, 3, 1, 2, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 3, 4, 2, 3, 2, 4, 0, 3, 4, 2, 2, 0, 1, 4, 1, 2, 2, 4, 2, 2, 4, 3, 4, 0, 4, 1, 3, 1, 3, 1, 3, 0, 1, 3, 4, 0, 3, 3, 1, 1, 2, 3, 4, 3, 4, 0, 2, 2, 3, 0, 2, 1, 2, 4, 1, 1, 1, 2, 0, 3, 2, 1, 1, 1, 2, 4, 1, 4, 3, 2, 2, 0, 1, 4, 0, 3, 2, 4, 1, 2, 4, 0, 3, 4, 0, 1, 2, 0, 4, 3, 0, 3, 2, 3, 2, 0, 0, 0, 3, 1, 1, 0, 1, 3, 1, 0, 3, 4, 4, 0, 4, 2, 1, 1, 1, 2, 3, 1, 2, 3, 1, 0, 3, 4, 3, 2, 3, 0, 2, 3, 0, 1, 0, 0, 1, 3, 0, 4, 4, 2, 3, 4, 3, 4, 2, 1, 2, 2, 4, 2, 4, 0, 1, 3, 1, 3, 0, 1, 0, 3, 2, 2, 2, 1, 2, 2, 3, 3, 0, 3, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 4, 2, 1, 3, 1, 1, 3, 1, 0, 4, 0, 3, 1, 1, 2, 2, 4, 0, 2, 0, 4, 1, 2, 1, 0, 4, 1, 4, 4, 3, 3, 0, 2, 3]
pubkeycol1116 = [1, 4, 4, 2, 2, 0, 1, 2, 1, 2, 0, 3, 0, 1, 2, 1, 3, 0, 1, 3, 3, 1, 2, 4, 0, 3, 0, 1, 0, 4, 2, 2, 4, 2, 3, 3, 2, 1, 0, 2, 1, 4, 0, 1, 3, 1, 2, 2, 4, 0, 1, 1, 1, 0, 0, 0, 4, 0, 4, 1, 3, 4, 3, 3, 1, 2, 0, 1, 0, 4, 0, 0, 1, 1, 3, 0, 3, 2, 4, 0, 3, 0, 0, 4, 1, 4, 4, 2, 0, 2, 2, 2, 2, 3, 2, 2, 2, 0, 4, 2, 1, 2, 4, 3, 3, 1, 3, 4, 1, 0, 4, 1, 0, 2, 0, 4, 0, 3, 0, 4, 4, 1, 2, 2, 2, 4, 0, 1, 0, 4, 3, 2, 4, 4, 4, 0, 3, 0, 2, 4, 2, 1, 2, 0, 2, 1, 2, 4, 1, 2, 2, 2, 1, 1, 2, 2, 4, 2, 0, 2, 4, 4, 3, 4, 3, 2, 4, 0, 3, 0, 0, 1, 3, 2, 0, 3, 0, 0, 0, 4, 2, 2, 2, 3, 0, 1, 2, 0, 3, 3, 3, 0, 2, 3, 4, 2, 1, 2, 1, 4, 4, 1, 4, 3, 4, 0, 3, 2, 3, 4, 3, 3, 4, 4, 1, 0, 3, 0, 4, 3, 1, 1, 0, 0, 4, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 4, 3, 3, 2, 0, 2, 1, 3, 4, 4, 1, 1, 2, 1, 1, 2, 3, 3, 2, 2, 4, 2, 2, 3, 4, 1, 2, 3, 1, 2, 4, 0, 3, 2, 2, 2, 1, 3, 3, 3, 2, 3, 3, 4, 4, 0, 1, 0, 4, 0, 1, 3, 1, 3, 1, 0, 2, 0, 4, 2, 4, 0, 1, 4, 0, 0, 3, 1, 2, 4, 0, 3, 4, 4, 3, 3, 0, 4, 3, 0, 0, 4, 0, 0, 1]
pubkeycol1117 = [3, 1, 0, 3, 0, 3, 2, 3, 3, 3, 1, 2, 2, 3, 4, 3, 1, 3, 0, 2, 4, 3, 1, 4, 1, 1, 0, 0, 4, 2, 0, 3, 4, 4, 3, 0, 3, 2, 3, 0, 2, 0, 3, 3, 4, 4, 4, 4, 2, 3, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 1, 3, 4, 4, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 3, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 1, 0, 0, 4, 4, 3, 0, 0, 3, 3, 4, 2, 3, 2, 0, 3, 1, 4, 3, 3, 4, 1, 0, 4, 2, 2, 1, 1, 4, 2, 2, 2, 1, 4, 4, 2, 4, 0, 4, 0, 2, 0, 3, 1, 1, 1, 4, 3, 2, 3, 4, 4, 1, 2, 4, 3, 3, 2, 2, 2, 2, 3, 1, 4, 4, 1, 0, 3, 2, 1, 4, 3, 1, 2, 3, 4, 3, 1, 2, 2, 0, 3, 3, 1, 0, 2, 0, 2, 4, 1, 3, 2, 3, 3, 2, 0, 3, 3, 4, 2, 4, 2, 2, 2, 4, 0, 0, 2, 0, 2, 1, 2, 4, 2, 4, 2, 1, 0, 0, 3, 0, 2, 3, 4, 0, 3, 3, 1, 3, 0, 1, 2, 1, 2, 3, 2, 1, 4, 1, 2, 2, 3, 0, 4, 0, 3, 4, 1, 4, 4, 0, 2, 4, 3, 3, 1, 1, 3, 1, 0, 2, 3, 2, 0, 0, 0, 2, 4, 3, 3, 1, 4, 0, 3, 3, 2, 4, 2, 1, 3, 3, 3, 1, 2, 0, 3, 4, 0, 3, 0, 0, 4, 3, 3, 3, 0, 2, 1, 0, 2, 3, 2, 4, 2, 0, 1, 2, 4, 0, 4, 3, 1, 3, 2, 1, 1, 1, 2, 2, 2, 4, 3, 2, 4, 0, 4, 2, 3, 1, 2, 2]
pubkeycol1118 = [3, 4, 3, 4, 1, 1, 3, 0, 2, 2, 4, 1, 2, 3, 2, 2, 1, 4, 1, 2, 4, 2, 3, 4, 3, 2, 4, 4, 0, 1, 3, 3, 1, 1, 2, 4, 4, 3, 4, 1, 1, 4, 3, 3, 4, 2, 3, 3, 3, 0, 4, 4, 4, 2, 1, 1, 1, 3, 0, 3, 3, 0, 3, 1, 2, 0, 0, 0, 2, 3, 2, 4, 0, 0, 2, 4, 0, 2, 4, 1, 3, 4, 3, 1, 0, 2, 1, 4, 3, 0, 2, 3, 1, 0, 2, 0, 0, 2, 2, 3, 4, 0, 1, 3, 2, 1, 0, 0, 4, 4, 2, 1, 0, 2, 3, 0, 1, 0, 2, 4, 2, 1, 1, 2, 3, 1, 2, 3, 3, 3, 4, 3, 0, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 4, 0, 2, 4, 4, 0, 4, 4, 2, 2, 1, 3, 4, 4, 4, 3, 3, 3, 1, 1, 1, 2, 1, 2, 4, 2, 3, 4, 2, 3, 0, 1, 0, 3, 4, 0, 1, 1, 1, 3, 3, 3, 2, 3, 0, 1, 0, 2, 0, 1, 0, 0, 4, 3, 2, 2, 1, 1, 3, 1, 0, 2, 2, 0, 0, 1, 4, 2, 4, 3, 1, 0, 2, 3, 3, 3, 2, 1, 4, 3, 3, 0, 0, 1, 1, 3, 0, 0, 4, 3, 1, 1, 3, 2, 3, 4, 3, 0, 3, 3, 3, 0, 1, 3, 2, 0, 4, 3, 0, 0, 1, 1, 3, 4, 1, 3, 3, 3, 1, 3, 0, 3, 0, 0, 0, 4, 0, 2, 1, 3, 2, 0, 0, 4, 2, 2, 3, 0, 2, 1, 3, 2, 1, 0, 4, 0, 4, 0, 0, 2, 1, 0, 1, 1, 3, 3, 4, 2, 0, 0, 0, 0, 2, 3, 4, 2, 0, 4, 2, 4, 4, 2, 2, 2]
pubkeycol1119 = [3, 4, 3, 0, 2, 4, 0, 0, 2, 3, 2, 2, 2, 4, 0, 0, 1, 1, 0, 4, 3, 1, 3, 3, 1, 0, 0, 2, 4, 3, 0, 4, 4, 4, 2, 3, 1, 0, 4, 1, 1, 0, 3, 4, 2, 0, 2, 3, 4, 0, 1, 2, 4, 4, 1, 3, 1, 4, 3, 2, 3, 4, 0, 2, 2, 1, 4, 3, 3, 1, 1, 0, 3, 4, 4, 2, 2, 3, 0, 4, 4, 2, 3, 0, 2, 3, 0, 3, 4, 0, 1, 0, 2, 4, 3, 4, 0, 1, 3, 1, 0, 3, 2, 1, 1, 1, 3, 4, 0, 4, 3, 4, 3, 4, 3, 1, 2, 4, 3, 2, 1, 1, 4, 1, 2, 1, 0, 1, 3, 0, 3, 0, 0, 4, 0, 4, 0, 2, 1, 1, 3, 1, 2, 1, 0, 3, 4, 0, 4, 3, 4, 1, 1, 1, 2, 3, 2, 4, 2, 4, 3, 0, 1, 3, 2, 4, 4, 2, 1, 0, 2, 1, 1, 2, 4, 2, 3, 0, 2, 0, 2, 3, 3, 3, 0, 0, 1, 0, 4, 4, 4, 1, 3, 2, 2, 1, 0, 1, 0, 2, 1, 0, 3, 2, 1, 2, 2, 1, 0, 3, 2, 0, 1, 2, 1, 2, 4, 1, 4, 2, 1, 4, 2, 1, 4, 4, 1, 1, 2, 4, 4, 0, 1, 0, 4, 1, 3, 2, 4, 4, 2, 1, 3, 4, 2, 3, 4, 1, 1, 2, 0, 0, 0, 4, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 4, 4, 4, 1, 3, 3, 4, 2, 4, 3, 0, 3, 3, 1, 0, 1, 1, 1, 2, 3, 0, 1, 3, 0, 2, 1, 2, 1, 2, 4, 0, 4, 3, 2, 0, 0, 2, 3, 4, 0, 0, 3, 1, 2, 2, 2, 4, 2, 4, 1, 0, 1, 4, 4]
pubkeycol1120 = [1, 3, 0, 1, 3, 3, 1, 3, 3, 0, 1, 3, 1, 0, 0, 0, 0, 0, 4, 3, 3, 1, 4, 3, 3, 1, 4, 4, 2, 4, 0, 0, 1, 2, 1, 1, 2, 4, 0, 0, 1, 4, 3, 3, 4, 3, 3, 1, 3, 0, 2, 3, 3, 0, 4, 0, 0, 3, 3, 1, 1, 4, 4, 0, 2, 3, 4, 3, 0, 2, 0, 4, 2, 0, 1, 0, 4, 4, 3, 2, 0, 2, 4, 4, 2, 2, 0, 0, 0, 4, 2, 3, 2, 3, 4, 4, 4, 3, 0, 4, 2, 1, 0, 3, 0, 0, 3, 2, 4, 0, 4, 4, 4, 3, 3, 3, 4, 2, 4, 2, 2, 4, 2, 1, 4, 4, 2, 2, 4, 2, 1, 3, 3, 4, 3, 1, 4, 1, 1, 4, 4, 2, 0, 2, 2, 4, 4, 4, 0, 1, 4, 4, 4, 2, 3, 1, 1, 4, 3, 4, 0, 2, 1, 2, 2, 3, 2, 1, 3, 3, 3, 3, 2, 1, 0, 1, 1, 0, 2, 0, 3, 3, 0, 4, 4, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 0, 3, 4, 1, 2, 0, 0, 0, 0, 3, 2, 3, 1, 1, 0, 0, 0, 4, 0, 1, 0, 2, 2, 3, 1, 4, 1, 1, 2, 4, 3, 1, 0, 0, 1, 0, 3, 2, 1, 0, 1, 3, 1, 2, 4, 1, 4, 0, 3, 4, 3, 3, 2, 2, 0, 4, 1, 4, 0, 1, 4, 1, 2, 1, 1, 1, 1, 3, 3, 3, 4, 1, 2, 1, 1, 2, 2, 3, 0, 1, 1, 2, 4, 3, 3, 4, 3, 4, 0, 2, 4, 0, 0, 1, 3, 2, 3, 0, 0, 2, 3, 3, 4, 4, 4, 1, 3, 1, 3, 2, 0, 3, 0, 2, 1, 4, 0, 4, 3, 1, 4, 2, 4, 2, 3]
pubkeycol1121 = [2, 0, 1, 1, 0, 4, 0, 2, 4, 1, 0, 3, 2, 0, 1, 0, 0, 2, 4, 0, 3, 0, 2, 0, 4, 1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 2, 3, 2, 1, 4, 1, 4, 0, 1, 3, 4, 1, 3, 3, 2, 1, 1, 0, 0, 4, 4, 0, 4, 4, 0, 1, 1, 4, 1, 4, 4, 1, 1, 0, 3, 3, 2, 0, 0, 0, 1, 3, 1, 4, 2, 1, 4, 3, 0, 1, 2, 3, 4, 3, 0, 1, 3, 3, 2, 0, 1, 4, 4, 0, 0, 1, 2, 0, 3, 3, 3, 4, 3, 3, 3, 3, 0, 2, 0, 2, 1, 4, 4, 2, 2, 2, 1, 1, 3, 4, 1, 4, 0, 3, 3, 3, 2, 0, 2, 0, 4, 4, 2, 1, 4, 0, 0, 0, 3, 4, 1, 4, 4, 0, 1, 2, 0, 2, 2, 3, 2, 0, 2, 4, 1, 3, 2, 3, 3, 3, 4, 4, 2, 1, 2, 3, 1, 3, 0, 4, 3, 4, 0, 2, 1, 4, 4, 1, 1, 1, 4, 2, 4, 1, 3, 0, 1, 4, 1, 0, 1, 1, 0, 2, 4, 0, 3, 0, 1, 4, 1, 1, 3, 1, 2, 4, 3, 0, 0, 2, 3, 2, 3, 1, 1, 3, 0, 4, 1, 2, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 0, 0, 4, 2, 0, 0, 1, 0, 1, 0, 4, 2, 0, 2, 2, 4, 0, 2, 0, 0, 3, 4, 1, 3, 4, 0, 2, 4, 0, 4, 4, 4, 2, 0, 0, 3, 1, 0, 0, 3, 4, 3, 3, 0, 4, 0, 0, 2, 0, 2, 3, 4, 3, 4, 1, 3, 1, 3, 3, 0, 4, 1, 0, 2, 3, 1, 1, 0, 2, 4, 0, 2, 3, 1, 3, 4, 3, 3, 2, 2, 3, 3, 0, 0]
pubkeycol1122 = [0, 1, 2, 2, 0, 3, 1, 1, 0, 4, 4, 0, 4, 3, 1, 1, 1, 1, 3, 1, 2, 0, 2, 3, 3, 2, 0, 3, 2, 0, 1, 3, 1, 4, 2, 0, 3, 2, 4, 4, 0, 3, 1, 1, 4, 1, 3, 2, 4, 1, 3, 1, 2, 3, 0, 3, 0, 2, 0, 2, 0, 4, 1, 3, 2, 3, 4, 0, 0, 1, 3, 2, 4, 1, 2, 1, 2, 3, 0, 4, 3, 3, 0, 1, 1, 3, 3, 4, 3, 4, 1, 2, 1, 2, 1, 2, 1, 3, 3, 4, 1, 2, 3, 4, 4, 0, 4, 3, 0, 2, 1, 1, 3, 3, 0, 1, 3, 4, 1, 1, 4, 1, 0, 2, 2, 1, 3, 2, 4, 2, 0, 2, 1, 4, 1, 3, 3, 4, 4, 1, 3, 2, 4, 0, 3, 3, 3, 4, 4, 3, 4, 4, 0, 1, 4, 2, 1, 0, 1, 0, 4, 3, 4, 1, 1, 4, 2, 0, 3, 4, 1, 2, 0, 0, 2, 1, 2, 0, 0, 3, 2, 4, 0, 2, 3, 3, 4, 0, 2, 1, 4, 4, 0, 4, 4, 2, 3, 4, 0, 1, 4, 1, 3, 4, 1, 1, 1, 0, 0, 3, 2, 2, 0, 2, 1, 1, 4, 2, 1, 1, 2, 0, 3, 4, 2, 1, 4, 4, 1, 4, 0, 2, 2, 0, 1, 2, 2, 0, 3, 1, 0, 4, 1, 2, 3, 2, 0, 1, 1, 1, 1, 1, 4, 1, 3, 2, 3, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 3, 2, 1, 1, 4, 3, 4, 3, 4, 4, 1, 4, 4, 0, 1, 1, 0, 1, 0, 0, 0, 3, 3, 2, 2, 0, 0, 3, 2, 3, 4, 3, 1, 4, 1, 4, 0, 2, 1, 0, 0, 3, 1, 0, 0, 0, 3, 4, 0, 0, 1]
pubkeycol1123 = [1, 1, 2, 1, 0, 0, 2, 1, 4, 0, 1, 3, 3, 0, 4, 1, 1, 2, 4, 4, 1, 0, 3, 3, 0, 4, 0, 1, 0, 2, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 3, 1, 0, 2, 4, 2, 4, 1, 4, 4, 2, 2, 4, 2, 1, 3, 0, 3, 2, 0, 1, 0, 0, 4, 2, 4, 0, 1, 0, 2, 3, 4, 2, 2, 2, 2, 3, 1, 1, 1, 3, 3, 4, 0, 2, 4, 4, 3, 2, 4, 0, 1, 0, 1, 4, 4, 4, 1, 3, 0, 2, 0, 2, 0, 0, 4, 1, 0, 0, 1, 4, 0, 3, 4, 4, 2, 2, 2, 1, 4, 0, 4, 3, 3, 4, 0, 2, 2, 3, 3, 1, 2, 2, 3, 3, 4, 1, 3, 1, 4, 1, 2, 2, 2, 1, 1, 4, 3, 2, 3, 1, 3, 3, 1, 3, 0, 3, 3, 3, 2, 2, 3, 2, 1, 4, 2, 4, 4, 1, 4, 1, 1, 4, 3, 2, 3, 4, 2, 4, 1, 1, 4, 0, 4, 1, 1, 3, 3, 4, 1, 1, 2, 1, 4, 4, 1, 4, 2, 3, 1, 3, 2, 4, 1, 4, 0, 3, 2, 1, 3, 2, 2, 0, 0, 2, 4, 1, 1, 1, 3, 4, 0, 0, 1, 0, 3, 0, 3, 0, 3, 1, 0, 2, 0, 0, 4, 4, 1, 3, 1, 3, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0, 4, 3, 4, 3, 3, 1, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 0, 4, 1, 1, 1, 0, 4, 2, 2, 2, 4, 0, 3, 2, 0, 4, 0, 0, 3, 0, 3, 2, 3, 4, 3, 2, 0, 0, 0, 1, 1, 4, 2, 2, 4, 4, 1, 1, 2, 3, 0, 0, 0, 4, 0, 4, 4, 1, 2, 3, 0, 4]
pubkeycol1124 = [0, 4, 0, 0, 4, 0, 1, 0, 1, 4, 1, 2, 0, 0, 3, 4, 4, 4, 3, 2, 4, 0, 1, 4, 2, 4, 3, 0, 1, 4, 4, 4, 0, 2, 2, 3, 0, 2, 2, 0, 4, 1, 2, 4, 4, 4, 1, 2, 4, 4, 0, 3, 1, 3, 3, 3, 0, 1, 1, 0, 0, 4, 1, 0, 1, 3, 0, 4, 1, 0, 3, 0, 2, 0, 2, 4, 2, 1, 2, 4, 1, 0, 2, 2, 1, 1, 3, 0, 4, 4, 4, 4, 0, 3, 0, 4, 1, 3, 4, 4, 4, 3, 2, 1, 3, 0, 3, 4, 4, 2, 2, 3, 0, 1, 2, 0, 2, 3, 2, 3, 1, 0, 2, 4, 3, 0, 0, 0, 4, 2, 3, 2, 0, 4, 4, 3, 3, 4, 2, 3, 4, 0, 1, 1, 4, 2, 1, 3, 2, 2, 1, 0, 1, 3, 0, 3, 4, 0, 2, 4, 0, 4, 4, 0, 4, 3, 1, 4, 3, 0, 2, 3, 1, 2, 4, 4, 1, 3, 2, 2, 0, 4, 1, 4, 3, 4, 2, 0, 0, 1, 0, 2, 3, 1, 4, 0, 4, 4, 3, 0, 3, 1, 1, 4, 3, 4, 1, 2, 3, 4, 0, 4, 3, 1, 2, 4, 1, 0, 3, 0, 0, 2, 1, 0, 2, 2, 4, 2, 4, 2, 1, 2, 3, 3, 1, 1, 4, 1, 0, 0, 3, 4, 4, 4, 3, 2, 3, 3, 3, 4, 1, 0, 1, 1, 2, 2, 1, 1, 3, 4, 1, 3, 2, 0, 1, 0, 3, 3, 4, 2, 1, 2, 2, 1, 3, 3, 4, 4, 0, 0, 2, 3, 0, 3, 0, 1, 2, 3, 3, 3, 4, 1, 2, 4, 0, 4, 0, 3, 4, 0, 3, 0, 4, 2, 0, 4, 3, 1, 3, 1, 4, 2, 1, 2, 2, 1, 2, 2, 0, 0]
pubkeycol1125 = [0, 4, 1, 3, 3, 4, 0, 2, 4, 4, 1, 3, 4, 4, 0, 0, 3, 1, 2, 3, 2, 0, 1, 2, 2, 2, 2, 3, 4, 3, 3, 1, 0, 1, 0, 3, 0, 3, 4, 4, 3, 1, 0, 0, 1, 1, 0, 1, 4, 4, 3, 4, 3, 4, 3, 4, 0, 2, 0, 1, 3, 1, 0, 0, 2, 3, 2, 0, 1, 4, 4, 3, 2, 1, 0, 4, 1, 4, 1, 3, 2, 0, 2, 2, 3, 2, 2, 0, 3, 3, 3, 2, 3, 3, 2, 3, 3, 0, 0, 4, 4, 4, 4, 1, 2, 4, 1, 1, 0, 2, 1, 0, 3, 0, 4, 2, 0, 3, 4, 4, 0, 3, 2, 0, 3, 3, 1, 2, 1, 4, 0, 2, 1, 4, 3, 3, 4, 3, 2, 1, 3, 4, 1, 1, 4, 0, 2, 4, 1, 0, 0, 4, 1, 2, 1, 1, 0, 0, 0, 3, 4, 3, 4, 4, 0, 3, 1, 4, 0, 0, 1, 0, 3, 1, 3, 0, 4, 1, 4, 3, 1, 1, 4, 3, 2, 0, 4, 4, 4, 1, 0, 3, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 3, 1, 0, 1, 4, 2, 0, 0, 2, 2, 0, 0, 2, 4, 3, 3, 0, 2, 2, 2, 3, 2, 2, 2, 4, 2, 1, 4, 2, 2, 2, 2, 4, 0, 3, 2, 0, 0, 0, 2, 1, 3, 1, 4, 4, 0, 0, 3, 0, 4, 3, 0, 1, 1, 4, 1, 3, 4, 4, 2, 4, 4, 2, 1, 4, 3, 1, 0, 3, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 2, 2, 1, 0, 1, 2, 4, 2, 1, 1, 4, 4, 4, 4, 0, 1, 1, 4, 0, 3, 1, 2, 0, 4, 0, 4, 3, 1, 3, 4, 2, 0, 3, 0, 3]
pubkeycol1126 = [4, 3, 0, 2, 3, 4, 4, 1, 0, 0, 0, 2, 2, 4, 2, 4, 3, 4, 3, 0, 1, 1, 0, 0, 0, 0, 4, 3, 1, 0, 4, 3, 1, 3, 3, 4, 4, 1, 0, 0, 3, 1, 3, 3, 0, 2, 2, 0, 4, 4, 2, 0, 4, 0, 4, 0, 2, 1, 4, 2, 1, 4, 2, 1, 0, 2, 0, 0, 4, 2, 3, 1, 3, 3, 3, 4, 1, 4, 0, 3, 1, 0, 0, 4, 4, 3, 1, 2, 4, 1, 4, 2, 2, 3, 2, 0, 2, 2, 4, 3, 1, 0, 0, 2, 1, 0, 4, 1, 3, 2, 0, 2, 4, 2, 4, 0, 0, 1, 4, 0, 0, 0, 2, 3, 1, 0, 2, 2, 4, 0, 3, 2, 4, 4, 3, 0, 3, 2, 2, 1, 4, 2, 2, 2, 1, 2, 3, 0, 3, 0, 4, 2, 2, 4, 3, 2, 4, 0, 3, 0, 0, 4, 3, 3, 2, 2, 3, 4, 4, 2, 2, 1, 2, 0, 4, 1, 1, 0, 0, 4, 0, 0, 1, 3, 0, 1, 1, 3, 2, 1, 0, 4, 2, 4, 0, 0, 3, 2, 0, 1, 4, 4, 1, 2, 4, 3, 4, 4, 2, 2, 1, 3, 3, 4, 2, 3, 0, 4, 3, 3, 0, 2, 4, 1, 1, 0, 2, 2, 1, 0, 1, 4, 0, 0, 2, 0, 4, 1, 0, 0, 4, 1, 2, 3, 1, 1, 0, 4, 4, 0, 2, 0, 0, 1, 4, 1, 0, 2, 3, 1, 3, 0, 3, 4, 4, 0, 2, 2, 2, 3, 0, 3, 3, 0, 3, 0, 2, 4, 1, 1, 2, 4, 2, 4, 2, 0, 1, 4, 2, 1, 4, 0, 3, 3, 2, 2, 1, 0, 4, 1, 2, 1, 4, 0, 4, 3, 4, 1, 2, 3, 0, 0, 3, 1, 2, 0, 1, 2, 0, 4]
pubkeycol1127 = [1, 2, 4, 0, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 4, 0, 3, 3, 1, 0, 3, 4, 3, 2, 3, 2, 4, 4, 3, 3, 4, 3, 3, 4, 2, 3, 4, 2, 0, 4, 2, 1, 0, 2, 2, 3, 2, 1, 3, 1, 1, 3, 4, 4, 1, 4, 3, 4, 1, 2, 0, 1, 4, 3, 4, 2, 0, 2, 0, 1, 1, 2, 2, 2, 4, 1, 4, 2, 0, 0, 1, 1, 0, 2, 2, 3, 3, 4, 0, 2, 1, 0, 2, 4, 0, 3, 0, 0, 2, 1, 4, 4, 0, 0, 1, 4, 1, 1, 0, 1, 4, 1, 0, 0, 2, 4, 3, 0, 0, 2, 1, 3, 2, 4, 3, 4, 2, 0, 0, 1, 2, 0, 0, 3, 1, 0, 2, 4, 3, 2, 2, 1, 3, 4, 2, 2, 4, 0, 0, 3, 0, 4, 2, 0, 1, 4, 2, 3, 1, 2, 3, 0, 1, 3, 2, 4, 4, 4, 3, 3, 0, 0, 1, 4, 3, 2, 1, 4, 4, 4, 4, 2, 0, 0, 2, 0, 2, 1, 4, 2, 3, 1, 1, 0, 2, 4, 2, 0, 4, 2, 1, 0, 4, 3, 3, 2, 4, 0, 1, 2, 1, 2, 0, 4, 2, 4, 1, 1, 3, 1, 0, 3, 3, 2, 0, 2, 3, 4, 3, 2, 0, 2, 1, 3, 3, 2, 4, 1, 1, 3, 2, 3, 2, 2, 3, 4, 2, 4, 4, 3, 2, 0, 3, 1, 2, 4, 2, 2, 0, 4, 1, 3, 2, 4, 1, 4, 0, 4, 0, 1, 4, 1, 4, 4, 2, 0, 4, 4, 4, 3, 4, 2, 1, 1, 2, 3, 1, 3, 1, 1, 2, 1, 0, 1, 2, 3, 4, 3, 0, 4, 4, 1, 2, 0, 4, 2, 1, 1, 0, 3, 3, 2, 3, 3, 0, 3, 1, 3, 0, 1]
pubkeycol1128 = [1, 3, 0, 3, 4, 4, 0, 0, 2, 3, 4, 1, 2, 2, 2, 1, 4, 2, 1, 3, 3, 0, 4, 1, 3, 4, 0, 0, 0, 2, 1, 4, 0, 2, 2, 3, 2, 2, 3, 1, 3, 4, 4, 1, 2, 0, 1, 3, 4, 1, 1, 3, 4, 4, 1, 4, 3, 0, 0, 1, 1, 0, 3, 0, 4, 2, 2, 0, 2, 0, 4, 2, 2, 0, 0, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 4, 0, 1, 0, 1, 3, 3, 1, 4, 2, 3, 2, 1, 2, 0, 2, 0, 0, 3, 0, 4, 4, 3, 2, 1, 1, 0, 0, 2, 4, 3, 4, 0, 1, 2, 1, 4, 4, 0, 1, 0, 1, 2, 2, 4, 1, 0, 2, 3, 3, 1, 4, 2, 1, 0, 4, 4, 4, 2, 1, 4, 3, 3, 3, 4, 0, 2, 3, 0, 0, 2, 1, 3, 2, 3, 2, 1, 3, 2, 3, 1, 2, 0, 0, 3, 4, 2, 2, 1, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 0, 4, 4, 0, 4, 3, 0, 4, 1, 2, 2, 0, 0, 3, 2, 1, 3, 1, 2, 4, 1, 4, 4, 1, 1, 2, 2, 3, 1, 0, 0, 3, 3, 0, 0, 1, 4, 3, 1, 4, 3, 1, 0, 4, 1, 2, 1, 1, 1, 1, 0, 3, 0, 4, 4, 3, 3, 0, 0, 2, 1, 4, 0, 4, 2, 3, 2, 2, 0, 3, 3, 3, 0, 0, 1, 1, 4, 3, 3, 2, 3, 1, 4, 4, 4, 3, 1, 3, 0, 3, 4, 4, 2, 2, 3, 3, 4, 2, 0, 0, 4, 1, 3, 4, 4, 1, 4, 1, 4, 3, 0, 4, 1, 3, 4, 4, 3, 0, 3, 3, 0, 3, 2, 3, 3, 4, 4, 1, 3, 3, 4, 0, 1, 1, 4]
pubkeycol1129 = [0, 1, 2, 2, 4, 4, 1, 0, 3, 1, 2, 4, 3, 3, 2, 1, 1, 1, 4, 0, 0, 3, 2, 1, 4, 4, 0, 1, 2, 1, 1, 3, 3, 4, 1, 4, 2, 1, 3, 1, 4, 4, 3, 4, 3, 1, 0, 3, 4, 2, 4, 4, 0, 3, 0, 3, 3, 4, 3, 2, 4, 3, 2, 2, 3, 0, 1, 4, 3, 0, 4, 2, 4, 1, 3, 0, 0, 1, 4, 1, 1, 0, 1, 3, 3, 3, 3, 0, 4, 3, 0, 0, 0, 0, 0, 2, 3, 1, 4, 3, 4, 4, 2, 3, 2, 2, 4, 1, 4, 0, 2, 0, 3, 0, 1, 1, 2, 1, 1, 2, 3, 1, 0, 0, 2, 0, 4, 0, 0, 2, 3, 4, 0, 1, 0, 0, 2, 4, 3, 1, 1, 2, 2, 3, 3, 4, 0, 0, 2, 0, 4, 0, 2, 1, 2, 4, 2, 1, 3, 1, 0, 4, 3, 4, 4, 4, 0, 4, 1, 0, 0, 1, 3, 2, 4, 0, 1, 3, 1, 3, 2, 2, 0, 3, 4, 1, 2, 2, 0, 0, 2, 3, 1, 1, 1, 0, 3, 0, 1, 2, 0, 4, 1, 1, 1, 4, 2, 3, 1, 0, 2, 2, 2, 1, 2, 0, 2, 3, 4, 2, 2, 0, 0, 4, 3, 4, 2, 3, 3, 4, 2, 3, 4, 0, 1, 2, 1, 0, 0, 2, 3, 1, 3, 4, 4, 3, 3, 4, 4, 1, 3, 0, 3, 0, 3, 0, 1, 1, 4, 2, 2, 1, 4, 3, 1, 4, 1, 1, 2, 4, 2, 2, 0, 3, 4, 3, 4, 2, 1, 2, 0, 1, 1, 4, 3, 0, 1, 0, 3, 1, 2, 0, 1, 0, 1, 3, 1, 0, 3, 2, 2, 0, 0, 0, 2, 2, 4, 2, 0, 0, 3, 3, 0, 0, 0, 3, 4, 1, 2, 3]
pubkeycol1130 = [0, 0, 4, 2, 1, 0, 4, 4, 2, 4, 0, 2, 0, 1, 3, 1, 4, 4, 0, 4, 4, 4, 2, 1, 3, 2, 4, 4, 4, 4, 4, 0, 4, 0, 4, 3, 4, 1, 3, 1, 0, 3, 2, 4, 2, 1, 3, 2, 4, 4, 1, 0, 2, 1, 3, 4, 3, 3, 2, 3, 1, 4, 2, 3, 4, 3, 4, 0, 4, 1, 0, 4, 2, 3, 3, 3, 3, 2, 0, 3, 3, 1, 1, 0, 1, 1, 1, 2, 3, 3, 4, 1, 4, 3, 4, 1, 2, 1, 4, 2, 4, 4, 2, 2, 3, 0, 4, 3, 0, 1, 3, 2, 1, 2, 3, 2, 0, 4, 3, 4, 2, 3, 1, 3, 1, 0, 4, 4, 2, 3, 2, 2, 3, 1, 4, 0, 4, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 3, 2, 3, 0, 4, 1, 0, 4, 1, 1, 2, 4, 2, 1, 4, 2, 0, 4, 0, 0, 0, 1, 3, 0, 3, 3, 2, 1, 4, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 4, 2, 2, 1, 1, 4, 2, 1, 2, 1, 2, 3, 0, 2, 4, 2, 0, 2, 3, 3, 3, 3, 1, 3, 0, 2, 1, 3, 0, 1, 3, 0, 1, 1, 2, 2, 2, 3, 1, 4, 3, 4, 0, 4, 4, 4, 2, 1, 3, 2, 1, 3, 2, 4, 1, 2, 2, 0, 2, 1, 4, 1, 2, 2, 0, 1, 2, 0, 0, 2, 3, 2, 0, 4, 1, 2, 3, 4, 2, 0, 0, 1, 1, 0, 1, 2, 0, 3, 3, 0, 4, 3, 1, 2, 4, 3, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 0, 0, 2, 3, 1, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 4, 2, 4, 4, 4, 1, 3]
pubkeycol1131 = [3, 0, 3, 2, 1, 1, 0, 4, 2, 2, 3, 3, 4, 0, 2, 3, 4, 0, 1, 1, 1, 2, 0, 3, 1, 0, 4, 4, 1, 4, 0, 4, 4, 2, 0, 2, 2, 0, 0, 1, 3, 4, 4, 4, 4, 4, 1, 1, 3, 1, 1, 3, 2, 3, 3, 0, 1, 1, 4, 2, 0, 4, 1, 4, 2, 1, 4, 0, 3, 3, 4, 4, 0, 2, 3, 4, 3, 0, 3, 1, 1, 2, 1, 3, 2, 3, 4, 0, 4, 0, 1, 1, 1, 1, 3, 4, 0, 0, 1, 3, 2, 4, 1, 1, 3, 1, 1, 4, 1, 3, 0, 1, 4, 1, 3, 3, 3, 4, 2, 4, 1, 0, 3, 1, 0, 0, 0, 4, 0, 1, 2, 4, 2, 1, 1, 0, 4, 1, 0, 0, 0, 4, 2, 0, 0, 4, 3, 2, 0, 0, 0, 3, 3, 2, 1, 3, 0, 3, 4, 0, 4, 3, 2, 1, 1, 4, 3, 1, 1, 2, 3, 2, 2, 0, 4, 3, 0, 0, 0, 2, 0, 3, 1, 4, 4, 2, 0, 0, 3, 4, 4, 1, 1, 4, 0, 0, 2, 2, 0, 1, 4, 2, 3, 4, 1, 4, 2, 3, 2, 1, 2, 3, 2, 2, 3, 4, 4, 4, 0, 4, 4, 4, 0, 3, 1, 0, 4, 1, 2, 3, 3, 4, 0, 4, 2, 1, 1, 4, 4, 1, 0, 1, 1, 3, 0, 4, 2, 0, 4, 0, 3, 1, 0, 3, 1, 3, 4, 2, 4, 3, 4, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 4, 0, 2, 0, 3, 2, 4, 3, 0, 3, 3, 4, 1, 4, 3, 0, 3, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 4, 4, 4, 2, 1, 0, 1, 2, 4, 0, 1, 4, 1, 2, 0, 1, 2, 1, 4, 0]
pubkeycol1132 = [2, 0, 0, 0, 2, 2, 0, 3, 3, 1, 3, 0, 1, 3, 2, 1, 3, 3, 4, 2, 2, 2, 4, 2, 1, 0, 4, 2, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 4, 2, 2, 2, 3, 0, 1, 3, 3, 4, 3, 4, 2, 4, 0, 2, 2, 3, 2, 1, 0, 3, 2, 4, 0, 1, 0, 2, 4, 3, 1, 3, 4, 1, 1, 0, 1, 0, 4, 0, 1, 4, 1, 3, 2, 4, 1, 2, 4, 4, 4, 1, 4, 0, 4, 0, 3, 0, 0, 0, 4, 0, 4, 3, 3, 0, 1, 0, 1, 3, 1, 1, 2, 4, 0, 0, 1, 3, 3, 3, 1, 1, 0, 1, 3, 0, 0, 4, 2, 1, 0, 4, 2, 3, 2, 1, 3, 0, 3, 0, 0, 2, 2, 1, 4, 3, 1, 1, 3, 3, 4, 3, 0, 0, 0, 4, 1, 3, 1, 4, 3, 1, 2, 2, 2, 0, 1, 4, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 2, 3, 0, 2, 3, 0, 0, 4, 3, 2, 4, 1, 2, 1, 1, 1, 1, 1, 4, 2, 4, 0, 2, 3, 3, 0, 0, 3, 3, 1, 3, 4, 2, 4, 0, 2, 0, 1, 2, 0, 2, 4, 1, 1, 4, 2, 3, 4, 1, 2, 3, 1, 2, 2, 2, 2, 0, 0, 1, 4, 0, 2, 4, 1, 0, 0, 4, 0, 2, 1, 1, 0, 4, 3, 4, 1, 0, 0, 0, 2, 4, 3, 2, 0, 3, 1, 2, 1, 2, 4, 4, 4, 4, 0, 3, 1, 3, 0, 1, 0, 0, 2, 0, 4, 1, 1, 1, 2, 4, 3, 3, 0, 2, 4, 0, 4, 2, 0, 2, 0, 0, 1, 0, 1, 3, 1, 4, 0, 4, 1, 1, 4, 0, 3, 1, 3, 0, 3, 1, 4, 2, 4, 3, 1]
pubkeycol1133 = [1, 0, 4, 3, 3, 2, 3, 4, 0, 0, 4, 4, 4, 2, 0, 4, 4, 2, 0, 3, 3, 1, 4, 0, 4, 3, 1, 0, 1, 4, 1, 3, 0, 2, 2, 0, 2, 3, 2, 0, 4, 0, 2, 4, 2, 1, 3, 3, 2, 2, 4, 2, 1, 0, 1, 2, 1, 2, 1, 4, 2, 1, 3, 3, 2, 3, 0, 4, 1, 0, 1, 0, 2, 1, 1, 3, 3, 2, 2, 3, 2, 4, 3, 2, 2, 2, 3, 3, 2, 0, 1, 0, 1, 3, 0, 2, 0, 0, 1, 3, 2, 2, 1, 1, 1, 4, 0, 2, 2, 3, 2, 0, 4, 4, 0, 3, 4, 2, 0, 3, 0, 0, 1, 0, 1, 0, 0, 1, 2, 4, 3, 3, 1, 0, 1, 2, 1, 1, 3, 0, 1, 1, 1, 0, 4, 4, 2, 1, 3, 3, 1, 1, 3, 3, 1, 2, 4, 2, 4, 3, 4, 4, 1, 2, 1, 4, 0, 0, 2, 0, 2, 4, 2, 4, 3, 0, 1, 0, 3, 1, 3, 0, 1, 2, 0, 2, 1, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 2, 1, 0, 3, 3, 4, 1, 4, 4, 2, 1, 2, 3, 1, 2, 2, 1, 2, 2, 4, 1, 0, 3, 2, 0, 2, 1, 4, 0, 4, 2, 1, 2, 2, 3, 3, 4, 1, 4, 2, 3, 0, 3, 4, 1, 4, 0, 1, 0, 0, 3, 1, 2, 2, 1, 4, 0, 0, 2, 0, 1, 3, 2, 3, 0, 3, 1, 0, 0, 1, 2, 1, 3, 3, 2, 4, 0, 4, 3, 1, 3, 4, 4, 0, 4, 2, 1, 0, 2, 3, 1, 0, 1, 1, 1, 0, 3, 2, 2, 1, 1, 3, 4, 2, 0, 2, 3, 1, 2, 1, 4, 2, 0, 4, 0, 3, 3, 0, 4, 2, 3, 4, 4]
pubkeycol1134 = [4, 2, 2, 1, 1, 0, 4, 0, 0, 4, 2, 1, 1, 0, 4, 4, 4, 3, 3, 3, 2, 1, 1, 2, 0, 0, 1, 4, 4, 4, 0, 4, 1, 1, 2, 2, 2, 0, 2, 1, 3, 1, 0, 3, 2, 2, 1, 4, 3, 4, 1, 1, 3, 3, 3, 0, 0, 3, 1, 2, 0, 4, 3, 4, 0, 1, 0, 1, 1, 0, 2, 3, 1, 3, 3, 4, 1, 0, 4, 1, 3, 4, 2, 4, 3, 4, 4, 1, 2, 0, 2, 3, 4, 3, 2, 0, 1, 3, 2, 1, 2, 3, 4, 4, 1, 3, 3, 3, 2, 0, 2, 3, 4, 0, 3, 2, 1, 2, 0, 0, 1, 2, 1, 3, 1, 3, 4, 2, 4, 4, 4, 0, 2, 4, 3, 4, 1, 3, 0, 1, 4, 0, 0, 4, 1, 3, 2, 0, 3, 1, 0, 2, 0, 0, 2, 4, 4, 3, 2, 2, 1, 2, 0, 4, 1, 3, 4, 1, 1, 4, 4, 0, 3, 2, 3, 4, 3, 4, 0, 0, 0, 2, 3, 4, 3, 3, 4, 0, 4, 4, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 3, 0, 1, 0, 3, 3, 2, 2, 4, 2, 0, 3, 0, 4, 0, 1, 1, 3, 0, 1, 3, 1, 3, 4, 0, 1, 1, 0, 1, 4, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 4, 3, 3, 4, 1, 1, 0, 2, 4, 1, 2, 2, 0, 1, 0, 3, 4, 2, 0, 0, 3, 1, 2, 2, 2, 0, 3, 1, 0, 0, 0, 4, 3, 3, 0, 1, 0, 4, 1, 3, 0, 3, 3, 2, 2, 0, 1, 0, 0, 0, 3, 3, 4, 4, 1, 3, 4, 0, 3, 2, 4, 2, 3, 3, 4, 2, 1, 0, 2, 4, 4, 2, 0, 2, 2, 4, 4]
pubkeycol1135 = [3, 4, 1, 0, 2, 3, 2, 0, 1, 3, 1, 2, 4, 1, 1, 2, 0, 4, 1, 0, 2, 3, 0, 2, 0, 2, 1, 1, 2, 0, 0, 4, 1, 4, 2, 2, 2, 1, 0, 0, 1, 4, 4, 2, 2, 4, 4, 0, 0, 0, 1, 3, 3, 3, 2, 2, 0, 0, 3, 1, 2, 4, 0, 4, 0, 4, 3, 4, 4, 3, 1, 3, 4, 3, 3, 0, 4, 4, 0, 2, 4, 4, 1, 1, 3, 1, 3, 3, 2, 4, 2, 1, 1, 4, 0, 1, 4, 0, 4, 0, 4, 1, 0, 1, 4, 3, 3, 3, 2, 4, 4, 2, 3, 0, 4, 4, 4, 3, 2, 1, 0, 3, 3, 1, 0, 4, 0, 1, 2, 3, 2, 0, 1, 1, 3, 2, 4, 1, 2, 4, 3, 4, 3, 2, 4, 0, 1, 3, 0, 2, 4, 2, 3, 1, 4, 3, 2, 3, 0, 0, 4, 3, 2, 2, 1, 2, 1, 4, 4, 4, 0, 0, 1, 0, 2, 0, 2, 2, 0, 3, 1, 0, 4, 2, 1, 4, 4, 2, 2, 4, 1, 1, 4, 1, 3, 4, 0, 3, 3, 0, 3, 4, 2, 3, 2, 2, 2, 1, 4, 0, 0, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 4, 2, 1, 1, 4, 1, 1, 2, 4, 1, 1, 4, 3, 3, 3, 0, 3, 3, 0, 1, 4, 3, 0, 3, 4, 2, 2, 3, 4, 4, 2, 3, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 3, 3, 0, 4, 2, 2, 2, 3, 2, 1, 4, 1, 4, 4, 1, 0, 4, 4, 3, 0, 3, 1, 4, 0, 4, 1, 4, 0, 0, 4, 0, 0, 3, 3, 4, 4, 0, 2, 0, 1, 0, 2, 4, 0, 3, 3, 3, 0, 2, 3, 2, 1, 2, 2, 1]
pubkeycol1136 = [2, 3, 4, 2, 4, 0, 0, 3, 4, 2, 1, 1, 0, 4, 2, 0, 0, 1, 2, 4, 4, 1, 2, 0, 3, 4, 2, 2, 4, 4, 1, 1, 1, 2, 1, 0, 4, 2, 1, 2, 1, 0, 3, 0, 2, 3, 0, 0, 2, 4, 0, 1, 4, 4, 1, 1, 3, 3, 2, 1, 2, 2, 2, 0, 3, 2, 1, 3, 2, 0, 1, 1, 0, 4, 0, 3, 4, 3, 4, 2, 3, 4, 0, 3, 1, 3, 2, 3, 3, 3, 4, 0, 0, 2, 1, 0, 2, 3, 3, 4, 4, 3, 2, 2, 3, 4, 1, 4, 4, 2, 1, 4, 3, 4, 0, 4, 0, 1, 0, 1, 2, 1, 4, 0, 0, 4, 2, 4, 3, 2, 2, 1, 4, 2, 1, 4, 3, 4, 3, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 3, 2, 4, 4, 3, 2, 4, 2, 2, 3, 1, 1, 2, 3, 3, 2, 4, 3, 3, 4, 3, 1, 3, 3, 1, 0, 4, 0, 4, 4, 4, 4, 0, 3, 3, 1, 0, 2, 4, 4, 2, 4, 1, 4, 2, 0, 4, 3, 1, 3, 1, 3, 2, 4, 2, 4, 2, 3, 1, 0, 1, 1, 0, 4, 4, 0, 0, 0, 2, 4, 2, 1, 4, 4, 4, 4, 1, 1, 2, 1, 1, 4, 3, 1, 1, 2, 2, 3, 2, 1, 3, 1, 2, 2, 3, 0, 0, 2, 1, 2, 3, 2, 1, 2, 3, 0, 3, 3, 0, 2, 3, 4, 0, 3, 4, 2, 0, 1, 1, 1, 0, 1, 3, 0, 0, 1, 0, 1, 0, 2, 4, 4, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 4, 4, 2, 1, 1, 3, 0, 0, 3, 1, 2, 2, 4, 3, 4, 3, 1, 1, 3, 0, 0, 2, 3, 2, 4, 0, 2, 4, 0]
pubkeycol1137 = [4, 0, 1, 1, 4, 4, 2, 0, 0, 1, 4, 4, 2, 2, 2, 4, 3, 0, 3, 4, 1, 0, 1, 1, 0, 3, 1, 2, 4, 4, 4, 1, 1, 3, 1, 2, 4, 2, 4, 3, 2, 3, 4, 2, 0, 2, 2, 2, 2, 4, 1, 3, 3, 3, 4, 2, 2, 1, 0, 3, 2, 0, 3, 3, 4, 3, 1, 2, 0, 1, 3, 1, 4, 0, 2, 2, 0, 0, 3, 2, 3, 1, 4, 2, 1, 2, 1, 2, 4, 2, 0, 3, 4, 2, 4, 2, 2, 1, 3, 0, 2, 2, 2, 0, 1, 0, 0, 1, 4, 3, 4, 3, 2, 0, 3, 4, 0, 0, 0, 1, 0, 1, 0, 4, 1, 2, 0, 2, 4, 3, 0, 4, 1, 2, 3, 3, 1, 3, 0, 0, 1, 3, 0, 3, 2, 1, 3, 3, 3, 3, 2, 3, 1, 1, 4, 4, 4, 4, 0, 1, 4, 3, 4, 3, 1, 4, 1, 0, 4, 3, 4, 1, 3, 3, 3, 2, 1, 4, 2, 3, 0, 1, 3, 1, 4, 2, 4, 4, 2, 1, 3, 4, 3, 1, 3, 0, 3, 2, 4, 0, 3, 2, 4, 1, 4, 4, 3, 4, 1, 3, 1, 1, 2, 2, 3, 1, 2, 3, 0, 4, 1, 2, 2, 4, 3, 4, 3, 4, 0, 3, 2, 1, 3, 3, 4, 4, 2, 0, 2, 1, 4, 0, 3, 4, 4, 2, 2, 2, 0, 4, 3, 0, 1, 0, 4, 1, 2, 4, 1, 2, 4, 2, 1, 2, 4, 4, 4, 0, 3, 2, 0, 4, 4, 4, 0, 2, 0, 2, 3, 1, 0, 4, 4, 1, 3, 2, 4, 2, 3, 3, 4, 3, 1, 3, 1, 2, 0, 4, 0, 3, 1, 1, 0, 4, 2, 4, 2, 1, 0, 1, 0, 1, 1, 2, 4, 1, 0, 2, 0, 0]
pubkeycol1138 = [0, 0, 3, 4, 1, 4, 4, 2, 2, 2, 4, 3, 4, 0, 0, 2, 3, 0, 3, 2, 3, 4, 0, 4, 0, 4, 4, 0, 1, 1, 1, 4, 2, 3, 2, 2, 4, 1, 3, 0, 3, 4, 0, 2, 3, 2, 4, 0, 2, 0, 1, 4, 3, 0, 0, 2, 0, 3, 0, 2, 1, 2, 3, 3, 3, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 3, 0, 1, 4, 1, 3, 0, 2, 3, 0, 4, 0, 4, 3, 2, 4, 3, 2, 0, 4, 0, 4, 0, 0, 0, 3, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 4, 4, 2, 3, 0, 0, 4, 0, 4, 3, 2, 0, 2, 4, 0, 1, 4, 0, 4, 4, 3, 4, 3, 4, 4, 0, 3, 4, 0, 3, 3, 4, 0, 4, 1, 3, 1, 4, 2, 3, 1, 2, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 0, 1, 3, 4, 2, 1, 3, 0, 1, 0, 3, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 4, 4, 4, 2, 0, 0, 4, 3, 3, 4, 3, 0, 0, 2, 3, 2, 0, 1, 0, 1, 1, 3, 2, 2, 3, 2, 0, 0, 0, 0, 0, 3, 0, 3, 1, 3, 0, 4, 4, 1, 4, 1, 2, 1, 2, 4, 4, 1, 2, 2, 4, 2, 3, 2, 3, 4, 0, 1, 3, 3, 4, 4, 2, 4, 1, 2, 3, 3, 1, 3, 2, 1, 0, 1, 1, 3, 3, 1, 4, 2, 4, 3, 2, 4, 2, 0, 2, 2, 2, 0, 2, 2, 1, 3, 0, 3, 4, 2, 0, 0, 1, 0, 4, 3, 2, 1, 2, 3, 2, 4, 2, 2, 3, 4, 1, 3, 3, 2, 0, 3, 0, 0, 1, 0, 4, 2, 4, 3, 0, 1, 3, 0, 3]
pubkeycol1139 = [4, 4, 0, 3, 3, 1, 3, 3, 0, 4, 2, 2, 1, 2, 2, 0, 1, 2, 3, 1, 2, 0, 1, 3, 3, 4, 3, 3, 2, 3, 2, 1, 3, 4, 3, 2, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 3, 1, 4, 2, 3, 2, 4, 3, 3, 2, 2, 0, 0, 1, 1, 2, 1, 4, 1, 4, 0, 3, 3, 4, 0, 4, 2, 1, 0, 1, 0, 2, 4, 4, 2, 4, 0, 3, 4, 2, 2, 4, 3, 2, 3, 2, 1, 1, 1, 4, 0, 3, 0, 2, 2, 1, 3, 2, 4, 3, 3, 3, 4, 2, 1, 1, 2, 4, 4, 0, 3, 1, 1, 0, 2, 4, 3, 1, 3, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 3, 1, 4, 0, 1, 3, 3, 4, 1, 2, 1, 0, 0, 0, 3, 0, 0, 4, 0, 1, 3, 3, 4, 2, 4, 0, 4, 0, 0, 3, 3, 0, 0, 3, 3, 4, 1, 2, 2, 3, 1, 2, 3, 2, 1, 2, 1, 2, 4, 1, 4, 4, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 4, 2, 0, 0, 3, 2, 0, 2, 3, 4, 2, 3, 2, 1, 0, 0, 0, 3, 4, 0, 4, 2, 4, 0, 2, 4, 3, 2, 3, 1, 0, 0, 2, 0, 2, 0, 3, 1, 4, 2, 4, 2, 1, 4, 0, 0, 0, 4, 1, 1, 0, 3, 2, 4, 0, 2, 1, 2, 0, 4, 1, 0, 2, 3, 3, 2, 1, 4, 2, 1, 2, 1, 3, 2, 2, 2, 4, 2, 0, 2, 0, 0, 2, 4, 3, 4, 3, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 3, 4, 3, 2, 4, 4, 2, 0, 3, 0, 2, 1, 3, 1, 2, 2, 3, 3, 3, 4, 2, 0, 1, 1]
pubkeycol1140 = [0, 4, 1, 0, 2, 2, 4, 0, 0, 4, 0, 2, 4, 0, 3, 3, 3, 2, 3, 4, 4, 0, 1, 4, 2, 0, 4, 2, 2, 3, 2, 4, 0, 2, 3, 0, 1, 4, 3, 3, 3, 1, 2, 0, 3, 3, 1, 2, 3, 1, 1, 1, 3, 2, 1, 1, 3, 1, 1, 3, 3, 2, 4, 3, 3, 4, 2, 3, 4, 4, 4, 0, 0, 4, 1, 4, 0, 0, 3, 0, 1, 2, 0, 4, 2, 1, 1, 4, 0, 4, 1, 1, 1, 3, 4, 4, 2, 0, 2, 4, 3, 0, 3, 1, 3, 0, 3, 2, 0, 2, 2, 1, 1, 4, 3, 0, 3, 1, 2, 0, 2, 1, 3, 1, 3, 2, 2, 4, 4, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 4, 4, 1, 2, 4, 4, 3, 2, 3, 2, 1, 2, 1, 2, 2, 0, 4, 0, 1, 4, 1, 3, 3, 0, 0, 1, 2, 2, 2, 4, 1, 4, 4, 0, 3, 2, 3, 4, 2, 2, 2, 3, 2, 2, 0, 3, 3, 2, 3, 0, 2, 4, 3, 1, 2, 1, 2, 0, 1, 3, 1, 4, 4, 4, 4, 0, 1, 1, 3, 4, 3, 2, 1, 2, 4, 0, 4, 1, 0, 3, 3, 1, 0, 4, 2, 2, 2, 4, 1, 2, 0, 4, 1, 2, 4, 2, 3, 3, 0, 1, 3, 0, 2, 2, 2, 3, 4, 0, 0, 2, 2, 1, 0, 0, 2, 2, 4, 3, 2, 2, 2, 0, 0, 0, 0, 4, 3, 3, 4, 4, 3, 2, 2, 0, 0, 4, 4, 0, 2, 4, 4, 2, 1, 4, 2, 4, 3, 4, 2, 0, 3, 0, 3, 0, 2, 0, 3, 2, 4, 0, 2, 4, 0, 1, 0, 0, 0, 1, 0, 2, 1, 4, 4, 0, 0, 4, 4, 1, 3, 3, 3]
pubkeycol1141 = [4, 0, 3, 3, 2, 3, 1, 4, 2, 4, 4, 2, 3, 4, 1, 0, 0, 3, 2, 1, 4, 3, 3, 4, 3, 4, 2, 4, 3, 3, 0, 4, 2, 2, 3, 3, 0, 1, 3, 1, 4, 2, 3, 0, 2, 4, 1, 2, 2, 1, 4, 4, 0, 4, 0, 3, 4, 2, 0, 1, 4, 3, 3, 3, 1, 4, 4, 1, 0, 0, 2, 1, 2, 0, 3, 2, 2, 2, 2, 3, 2, 1, 4, 3, 3, 1, 1, 2, 2, 0, 0, 3, 0, 0, 1, 2, 1, 2, 1, 2, 4, 4, 2, 1, 0, 3, 0, 3, 4, 4, 1, 0, 3, 2, 3, 3, 1, 4, 3, 3, 3, 3, 2, 4, 1, 4, 0, 3, 0, 4, 2, 4, 1, 4, 2, 0, 1, 0, 0, 4, 4, 0, 0, 4, 0, 4, 2, 2, 1, 2, 2, 1, 4, 3, 2, 2, 0, 1, 0, 4, 0, 1, 0, 2, 1, 4, 3, 3, 1, 0, 4, 4, 3, 0, 1, 1, 2, 4, 0, 2, 3, 2, 2, 3, 1, 0, 4, 4, 1, 1, 1, 2, 0, 0, 4, 0, 3, 0, 2, 2, 3, 2, 4, 4, 3, 2, 1, 2, 4, 0, 0, 1, 3, 4, 4, 3, 3, 1, 4, 0, 3, 4, 0, 1, 0, 1, 2, 3, 2, 3, 0, 1, 2, 0, 0, 4, 4, 0, 0, 4, 1, 4, 1, 3, 4, 4, 1, 2, 1, 4, 2, 2, 4, 0, 0, 1, 3, 1, 1, 4, 2, 2, 3, 0, 1, 4, 2, 3, 1, 1, 0, 0, 0, 2, 0, 4, 2, 3, 1, 3, 2, 1, 2, 1, 0, 0, 0, 0, 1, 4, 2, 1, 0, 1, 0, 4, 2, 3, 2, 1, 4, 0, 3, 0, 3, 3, 1, 2, 4, 2, 4, 1, 1, 1, 3, 2, 2, 4, 3, 0]
pubkeycol1142 = [3, 4, 1, 1, 4, 3, 4, 1, 0, 4, 3, 4, 4, 1, 3, 0, 4, 3, 0, 3, 4, 1, 4, 1, 3, 0, 1, 3, 0, 3, 4, 1, 4, 0, 1, 4, 3, 0, 3, 4, 0, 1, 4, 2, 1, 1, 2, 2, 4, 2, 2, 1, 1, 3, 1, 0, 2, 1, 0, 0, 2, 4, 0, 0, 1, 3, 0, 2, 0, 2, 2, 0, 4, 2, 2, 2, 3, 4, 2, 4, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 3, 3, 0, 0, 0, 3, 0, 4, 1, 4, 1, 4, 2, 3, 4, 4, 2, 4, 3, 0, 4, 2, 1, 3, 4, 4, 0, 1, 1, 3, 3, 3, 4, 0, 3, 2, 3, 3, 4, 3, 3, 2, 3, 2, 0, 4, 0, 2, 0, 2, 3, 0, 1, 1, 0, 4, 3, 1, 0, 4, 2, 2, 4, 4, 3, 4, 3, 1, 3, 3, 2, 3, 4, 2, 1, 1, 1, 4, 3, 3, 2, 4, 3, 2, 4, 0, 4, 0, 2, 1, 3, 3, 2, 1, 4, 0, 3, 1, 2, 3, 0, 2, 4, 2, 4, 4, 3, 2, 0, 4, 0, 1, 1, 0, 1, 1, 2, 0, 3, 0, 4, 3, 4, 3, 0, 3, 3, 4, 0, 1, 0, 4, 4, 3, 0, 1, 4, 2, 0, 3, 1, 0, 1, 1, 2, 0, 0, 1, 3, 4, 1, 4, 2, 0, 3, 1, 1, 4, 2, 2, 3, 4, 4, 0, 3, 3, 4, 3, 3, 3, 3, 3, 4, 4, 0, 3, 1, 3, 3, 1, 3, 1, 1, 3, 0, 3, 1, 3, 0, 2, 1, 3, 2, 1, 3, 2, 4, 1, 1, 0, 0, 4, 1, 1, 3, 3, 3, 2, 2, 4, 1, 0, 1, 3, 0, 3, 2, 4, 1, 0, 4, 3, 4, 4, 1, 4, 4, 0]
pubkeycol1143 = [2, 3, 1, 3, 3, 1, 3, 4, 4, 3, 4, 3, 0, 1, 0, 0, 1, 2, 4, 0, 3, 0, 1, 3, 0, 0, 0, 4, 0, 1, 0, 3, 0, 4, 2, 3, 1, 1, 3, 4, 3, 3, 3, 3, 0, 2, 4, 2, 0, 1, 2, 2, 4, 1, 3, 0, 0, 3, 2, 2, 3, 2, 4, 2, 4, 1, 0, 2, 4, 2, 2, 0, 0, 0, 2, 1, 4, 0, 3, 2, 0, 2, 0, 1, 4, 1, 1, 0, 4, 0, 2, 1, 3, 0, 0, 4, 0, 3, 3, 3, 0, 4, 0, 0, 1, 4, 4, 3, 3, 4, 0, 4, 2, 1, 2, 2, 3, 4, 2, 4, 0, 3, 0, 2, 2, 3, 2, 2, 4, 0, 2, 1, 2, 2, 0, 1, 4, 0, 1, 2, 4, 4, 3, 1, 0, 2, 4, 2, 0, 3, 1, 4, 3, 0, 4, 4, 0, 4, 3, 3, 0, 2, 0, 3, 2, 0, 0, 1, 4, 4, 3, 4, 1, 0, 0, 0, 4, 0, 1, 4, 0, 1, 4, 0, 3, 0, 4, 0, 4, 2, 1, 0, 4, 0, 4, 3, 4, 4, 4, 4, 3, 1, 0, 1, 2, 4, 1, 4, 3, 1, 2, 2, 4, 2, 0, 2, 0, 4, 1, 1, 1, 0, 1, 0, 1, 0, 1, 3, 2, 3, 4, 3, 2, 1, 1, 1, 0, 4, 0, 0, 3, 1, 0, 2, 3, 4, 2, 4, 4, 3, 3, 3, 1, 4, 3, 2, 2, 1, 2, 3, 1, 3, 0, 1, 4, 3, 4, 3, 1, 2, 3, 3, 1, 2, 4, 2, 0, 1, 1, 4, 4, 0, 1, 2, 1, 0, 1, 3, 0, 4, 2, 1, 4, 0, 2, 0, 0, 3, 0, 1, 2, 1, 2, 2, 1, 0, 3, 1, 2, 2, 2, 1, 4, 0, 0, 3, 1, 1, 4, 2]
pubkeycol1144 = [3, 3, 4, 1, 4, 2, 1, 1, 2, 4, 4, 3, 2, 1, 2, 1, 4, 3, 0, 0, 4, 1, 3, 2, 1, 3, 0, 0, 4, 1, 3, 3, 1, 3, 4, 0, 2, 4, 2, 4, 3, 2, 1, 1, 4, 4, 0, 2, 3, 3, 0, 3, 3, 4, 4, 2, 1, 4, 2, 4, 4, 0, 0, 3, 4, 4, 1, 4, 2, 4, 2, 2, 0, 0, 3, 4, 1, 1, 3, 1, 2, 0, 0, 1, 2, 0, 2, 0, 3, 1, 1, 3, 3, 4, 3, 2, 4, 0, 2, 0, 4, 2, 1, 0, 1, 3, 2, 1, 0, 0, 0, 3, 2, 3, 3, 3, 4, 3, 4, 0, 1, 3, 3, 4, 2, 0, 0, 3, 0, 4, 4, 1, 4, 3, 1, 2, 1, 3, 1, 1, 4, 1, 4, 3, 3, 4, 0, 0, 1, 3, 0, 1, 0, 4, 1, 0, 0, 3, 4, 1, 0, 3, 0, 1, 1, 0, 1, 1, 4, 0, 0, 3, 1, 1, 4, 2, 3, 3, 2, 3, 0, 2, 2, 1, 2, 2, 3, 4, 0, 4, 2, 3, 4, 2, 1, 3, 0, 3, 2, 0, 4, 0, 4, 4, 0, 0, 3, 0, 1, 1, 2, 3, 2, 2, 1, 3, 0, 3, 0, 3, 1, 4, 4, 3, 2, 4, 0, 4, 1, 1, 3, 2, 2, 1, 4, 3, 2, 2, 1, 1, 4, 3, 4, 0, 2, 4, 4, 4, 1, 2, 1, 0, 3, 1, 3, 3, 3, 2, 2, 2, 2, 0, 4, 1, 3, 0, 4, 0, 4, 0, 3, 1, 1, 1, 3, 2, 3, 1, 1, 4, 0, 1, 1, 1, 3, 2, 1, 4, 1, 3, 0, 3, 4, 1, 0, 3, 4, 2, 1, 3, 2, 4, 4, 3, 3, 1, 0, 1, 0, 3, 4, 2, 0, 1, 4, 3, 4, 0, 1, 0]
pubkeycol1145 = [3, 1, 1, 3, 4, 3, 1, 3, 0, 4, 1, 3, 4, 4, 2, 4, 0, 3, 1, 1, 0, 2, 1, 4, 0, 4, 4, 2, 1, 4, 2, 1, 2, 0, 0, 3, 4, 4, 0, 0, 3, 3, 3, 4, 4, 3, 0, 4, 1, 4, 4, 3, 2, 1, 2, 1, 3, 2, 4, 0, 2, 3, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 1, 3, 2, 4, 0, 3, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 0, 0, 0, 0, 2, 4, 2, 1, 0, 1, 2, 3, 4, 0, 2, 3, 2, 1, 0, 0, 4, 3, 0, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 3, 4, 2, 1, 4, 2, 2, 1, 3, 3, 4, 0, 3, 1, 2, 3, 4, 3, 2, 1, 2, 4, 0, 0, 1, 4, 3, 2, 4, 3, 1, 0, 4, 0, 3, 0, 3, 4, 0, 1, 1, 0, 2, 1, 1, 3, 1, 0, 1, 2, 1, 3, 0, 1, 4, 0, 3, 0, 3, 4, 0, 3, 0, 3, 4, 4, 1, 2, 4, 0, 1, 2, 4, 3, 1, 3, 4, 4, 2, 4, 1, 0, 3, 2, 0, 4, 0, 3, 1, 4, 4, 4, 3, 4, 0, 1, 2, 3, 1, 0, 3, 1, 4, 0, 3, 2, 0, 3, 2, 2, 3, 3, 0, 4, 1, 2, 3, 2, 4, 0, 3, 3, 3, 2, 1, 2, 0, 4, 4, 1, 3, 2, 2, 2, 4, 4, 4, 4, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 4, 0, 0, 1, 2, 3, 1, 0, 3, 4, 1, 3, 2, 3, 4, 2, 4, 2, 0, 0, 1, 3, 0, 3, 4, 3, 2, 3, 3, 1, 1, 3, 4, 1, 2, 4, 2, 3, 3, 3, 2, 1, 0, 0, 2, 2, 1, 2, 0]
pubkeycol1146 = [2, 0, 1, 2, 1, 4, 2, 2, 1, 4, 1, 3, 0, 4, 3, 0, 0, 3, 2, 4, 2, 2, 4, 3, 0, 3, 1, 2, 1, 4, 1, 0, 3, 4, 1, 0, 1, 0, 4, 4, 3, 3, 3, 2, 1, 0, 1, 4, 3, 3, 2, 0, 2, 0, 1, 2, 2, 3, 3, 3, 1, 3, 1, 3, 4, 1, 0, 3, 3, 2, 4, 3, 2, 3, 2, 4, 1, 1, 3, 4, 4, 2, 2, 4, 2, 2, 2, 4, 1, 3, 2, 4, 4, 4, 4, 3, 1, 1, 3, 0, 2, 1, 1, 2, 4, 1, 3, 1, 2, 4, 2, 4, 3, 3, 2, 0, 3, 2, 4, 4, 4, 0, 0, 1, 1, 3, 3, 1, 1, 3, 4, 3, 1, 2, 1, 1, 1, 0, 3, 1, 3, 0, 0, 4, 0, 2, 2, 1, 4, 3, 1, 3, 3, 4, 1, 3, 2, 2, 3, 4, 3, 2, 3, 2, 1, 0, 3, 1, 4, 0, 3, 2, 2, 4, 3, 1, 2, 3, 3, 3, 2, 0, 1, 3, 2, 3, 4, 4, 0, 3, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 1, 4, 3, 4, 3, 0, 4, 3, 0, 2, 2, 1, 4, 4, 4, 1, 0, 2, 0, 0, 4, 2, 1, 3, 4, 4, 4, 3, 1, 2, 1, 3, 4, 1, 0, 0, 2, 2, 1, 4, 2, 0, 1, 4, 3, 0, 0, 2, 1, 3, 2, 3, 1, 1, 3, 0, 0, 3, 0, 3, 3, 3, 4, 4, 4, 4, 2, 3, 1, 2, 2, 2, 0, 0, 0, 3, 0, 3, 0, 3, 3, 4, 0, 0, 0, 3, 0, 1, 1, 1, 4, 4, 2, 0, 3, 1, 0, 2, 4, 2, 0, 2, 4, 3, 2, 4, 2, 3, 3, 1, 1]
pubkeycol1147 = [0, 0, 3, 0, 4, 2, 4, 0, 1, 1, 0, 1, 4, 4, 4, 3, 2, 2, 1, 4, 3, 0, 0, 2, 3, 4, 3, 3, 0, 0, 0, 4, 4, 1, 0, 2, 4, 4, 0, 4, 2, 0, 0, 3, 2, 2, 2, 3, 4, 4, 3, 3, 3, 3, 2, 4, 2, 1, 2, 4, 1, 2, 3, 1, 4, 2, 1, 3, 3, 4, 0, 1, 4, 3, 1, 4, 0, 1, 1, 4, 3, 1, 3, 4, 2, 4, 3, 4, 4, 3, 0, 0, 2, 0, 1, 1, 4, 0, 3, 1, 4, 4, 0, 2, 3, 2, 0, 3, 0, 3, 3, 3, 3, 3, 0, 2, 2, 0, 2, 1, 2, 4, 2, 1, 1, 1, 4, 2, 2, 0, 4, 2, 3, 1, 0, 0, 1, 0, 4, 2, 1, 3, 0, 1, 2, 0, 4, 2, 2, 0, 4, 2, 4, 0, 0, 4, 0, 4, 0, 2, 0, 2, 1, 1, 0, 0, 3, 4, 1, 4, 0, 2, 0, 1, 1, 0, 1, 3, 3, 2, 0, 4, 4, 3, 2, 2, 0, 3, 1, 0, 4, 2, 0, 4, 1, 3, 2, 1, 2, 4, 2, 3, 2, 2, 4, 4, 3, 2, 1, 2, 3, 3, 2, 0, 3, 3, 1, 1, 0, 3, 3, 3, 3, 1, 4, 1, 1, 4, 2, 0, 3, 0, 3, 1, 3, 4, 1, 2, 2, 0, 1, 1, 4, 4, 1, 4, 1, 4, 4, 1, 4, 3, 3, 3, 1, 2, 4, 2, 0, 1, 4, 3, 2, 4, 0, 2, 4, 4, 4, 2, 0, 4, 2, 0, 1, 3, 4, 0, 3, 3, 2, 0, 1, 1, 4, 1, 1, 3, 0, 4, 3, 3, 0, 3, 0, 4, 0, 0, 4, 0, 3, 1, 3, 4, 2, 4, 0, 1, 2, 3, 4, 0, 0, 2, 1, 1, 0, 0, 0, 1]
pubkeycol1148 = [3, 1, 2, 0, 4, 0, 0, 0, 3, 4, 1, 3, 1, 1, 2, 3, 4, 2, 3, 3, 3, 2, 0, 3, 2, 4, 2, 0, 2, 1, 0, 2, 0, 4, 3, 4, 2, 1, 1, 1, 4, 1, 2, 1, 3, 1, 2, 1, 2, 0, 2, 3, 1, 2, 2, 1, 1, 3, 2, 4, 0, 4, 0, 4, 1, 1, 0, 3, 3, 0, 4, 4, 2, 3, 4, 3, 0, 0, 4, 3, 3, 2, 3, 3, 4, 0, 0, 2, 3, 3, 2, 3, 3, 1, 1, 1, 4, 3, 3, 0, 1, 0, 2, 2, 3, 2, 0, 4, 2, 3, 2, 2, 0, 2, 0, 3, 4, 1, 3, 0, 0, 1, 4, 0, 2, 1, 2, 2, 1, 1, 3, 3, 1, 0, 4, 0, 0, 2, 2, 1, 2, 2, 3, 4, 3, 2, 2, 0, 1, 0, 3, 1, 2, 2, 2, 2, 3, 1, 3, 0, 0, 1, 4, 0, 4, 2, 3, 1, 1, 3, 2, 2, 3, 0, 1, 3, 0, 4, 2, 4, 0, 2, 2, 3, 1, 3, 2, 4, 0, 3, 3, 2, 3, 0, 2, 3, 3, 0, 1, 1, 3, 1, 0, 0, 1, 3, 3, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 3, 2, 3, 1, 4, 0, 0, 3, 0, 3, 4, 3, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 3, 0, 3, 3, 1, 2, 4, 4, 1, 4, 4, 3, 1, 2, 1, 3, 3, 2, 4, 0, 0, 4, 4, 2, 3, 2, 1, 2, 3, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 3, 1, 2, 3, 1, 3, 4, 0, 2, 0, 3, 4, 3, 1, 3, 1, 4, 1, 1, 1, 2, 3, 2, 0, 4, 2, 2, 3, 4, 1, 1, 4, 2, 1, 3, 2, 2, 3]
pubkeycol1149 = [2, 3, 3, 2, 0, 4, 0, 2, 0, 3, 4, 0, 2, 2, 3, 2, 3, 4, 1, 1, 2, 1, 3, 2, 1, 1, 4, 0, 2, 0, 4, 0, 2, 3, 1, 3, 2, 4, 0, 1, 2, 3, 4, 1, 4, 2, 4, 3, 2, 2, 1, 1, 1, 1, 3, 4, 1, 4, 3, 1, 1, 1, 4, 3, 0, 3, 3, 2, 1, 4, 3, 0, 0, 2, 0, 4, 1, 2, 4, 1, 4, 4, 4, 0, 2, 0, 2, 4, 0, 0, 2, 1, 4, 1, 0, 2, 1, 3, 4, 2, 0, 0, 2, 0, 0, 0, 2, 4, 4, 2, 4, 4, 2, 1, 1, 1, 0, 4, 3, 2, 2, 3, 2, 4, 0, 4, 3, 2, 1, 4, 3, 1, 2, 3, 1, 4, 2, 2, 3, 4, 0, 1, 0, 2, 4, 3, 1, 0, 3, 0, 1, 2, 3, 0, 1, 0, 3, 0, 0, 0, 3, 1, 2, 4, 2, 0, 2, 4, 3, 0, 0, 1, 3, 3, 3, 2, 0, 3, 0, 4, 2, 1, 0, 2, 1, 1, 4, 3, 0, 4, 0, 0, 0, 1, 1, 4, 2, 0, 2, 2, 1, 3, 4, 3, 2, 2, 0, 1, 3, 4, 0, 2, 1, 2, 2, 1, 4, 2, 1, 0, 2, 0, 0, 2, 3, 2, 3, 0, 1, 3, 0, 2, 1, 3, 4, 3, 0, 0, 4, 3, 1, 4, 2, 1, 0, 1, 2, 2, 1, 0, 2, 3, 2, 0, 2, 2, 2, 2, 2, 1, 4, 1, 0, 2, 4, 1, 1, 0, 0, 2, 2, 4, 1, 2, 2, 2, 4, 0, 0, 0, 1, 0, 4, 1, 2, 3, 2, 3, 0, 1, 3, 4, 4, 3, 0, 0, 4, 0, 0, 3, 1, 2, 2, 1, 2, 3, 3, 1, 0, 3, 4, 4, 2, 1, 1, 1, 0, 1, 1, 0]
pubkeycol1150 = [1, 0, 1, 0, 0, 3, 0, 0, 4, 1, 1, 1, 3, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 3, 1, 2, 4, 1, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 3, 4, 3, 0, 0, 4, 0, 2, 4, 0, 3, 1, 4, 0, 2, 4, 0, 2, 0, 1, 2, 0, 3, 2, 4, 0, 2, 1, 2, 2, 4, 1, 2, 4, 1, 2, 4, 1, 0, 2, 2, 3, 4, 3, 1, 2, 2, 2, 0, 2, 3, 0, 4, 4, 3, 2, 3, 3, 1, 1, 0, 4, 3, 0, 2, 3, 2, 4, 0, 0, 2, 3, 0, 3, 2, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 2, 4, 2, 0, 4, 3, 3, 1, 3, 2, 0, 2, 1, 3, 2, 1, 3, 0, 2, 3, 0, 4, 3, 0, 1, 4, 1, 4, 3, 0, 4, 2, 4, 3, 3, 1, 2, 1, 0, 4, 1, 1, 4, 4, 2, 3, 2, 1, 1, 1, 3, 2, 1, 2, 4, 2, 2, 3, 1, 2, 0, 3, 0, 4, 4, 0, 2, 3, 4, 3, 4, 3, 2, 2, 1, 3, 2, 4, 0, 2, 0, 2, 0, 1, 2, 3, 4, 0, 3, 1, 4, 4, 2, 2, 2, 4, 1, 1, 0, 2, 3, 0, 0, 3, 4, 2, 0, 0, 4, 1, 2, 3, 2, 3, 0, 4, 4, 4, 2, 4, 2, 0, 1, 2, 4, 2, 1, 1, 0, 2, 1, 2, 3, 1, 1, 1, 4, 3, 1, 0, 1, 0, 2, 4, 1, 1, 1, 2, 3, 1, 2, 1, 2, 4, 1, 1, 1, 4, 0, 3, 3, 2, 1, 3, 1, 4, 0, 1, 3, 1, 3, 1, 1, 4, 3, 4, 4, 1, 2, 4, 0, 1, 4, 3, 1, 0, 4, 0, 2, 0, 2, 4, 2]
pubkeycol1151 = [0, 0, 1, 1, 2, 4, 3, 3, 0, 4, 2, 1, 4, 3, 1, 3, 1, 4, 0, 1, 4, 3, 2, 0, 2, 4, 4, 2, 0, 0, 4, 4, 4, 4, 4, 4, 1, 4, 0, 1, 1, 3, 0, 2, 3, 0, 3, 2, 2, 4, 4, 3, 2, 3, 0, 1, 2, 2, 0, 2, 1, 1, 3, 0, 4, 1, 1, 3, 2, 1, 2, 4, 1, 4, 3, 2, 1, 3, 3, 4, 1, 2, 2, 2, 0, 4, 1, 4, 0, 0, 0, 0, 4, 4, 2, 0, 2, 3, 0, 2, 2, 1, 4, 1, 3, 3, 1, 0, 1, 2, 2, 1, 2, 3, 4, 2, 0, 1, 2, 1, 2, 0, 4, 1, 0, 2, 2, 0, 4, 4, 3, 3, 3, 0, 0, 2, 4, 3, 3, 0, 3, 1, 1, 0, 1, 3, 1, 4, 1, 2, 0, 4, 1, 1, 2, 0, 0, 1, 3, 2, 1, 4, 3, 2, 4, 4, 2, 3, 3, 2, 4, 0, 0, 0, 4, 1, 1, 0, 1, 2, 0, 0, 3, 0, 0, 2, 2, 1, 2, 3, 3, 4, 2, 2, 2, 3, 1, 3, 1, 2, 0, 1, 0, 2, 2, 2, 1, 3, 3, 0, 3, 0, 1, 1, 4, 0, 4, 4, 4, 0, 3, 1, 2, 3, 4, 2, 0, 3, 2, 4, 1, 1, 4, 1, 1, 3, 0, 2, 1, 0, 2, 1, 4, 1, 1, 0, 2, 2, 4, 1, 4, 0, 2, 4, 4, 1, 2, 0, 4, 4, 2, 3, 4, 0, 3, 2, 1, 3, 2, 0, 4, 1, 2, 2, 3, 4, 4, 4, 2, 0, 4, 4, 1, 1, 3, 2, 4, 0, 4, 0, 0, 3, 1, 4, 2, 3, 0, 3, 4, 1, 3, 4, 3, 1, 2, 4, 1, 1, 1, 0, 4, 2, 0, 3, 3, 3, 4, 2, 0, 1]
pubkeycol1152 = [0, 2, 3, 1, 0, 3, 4, 4, 2, 0, 3, 4, 3, 4, 1, 4, 4, 0, 2, 3, 3, 0, 1, 1, 0, 4, 0, 0, 4, 1, 3, 4, 2, 2, 4, 1, 1, 1, 2, 0, 4, 1, 1, 4, 2, 1, 2, 2, 4, 0, 1, 3, 0, 2, 2, 2, 2, 0, 4, 0, 2, 3, 2, 1, 2, 4, 2, 0, 2, 2, 2, 2, 4, 3, 1, 2, 4, 2, 4, 0, 3, 0, 3, 4, 0, 1, 0, 3, 0, 3, 2, 0, 3, 0, 1, 1, 3, 0, 2, 0, 2, 3, 3, 1, 2, 3, 3, 1, 4, 4, 4, 2, 0, 0, 0, 0, 2, 4, 2, 1, 4, 2, 2, 0, 1, 4, 4, 1, 3, 2, 4, 3, 3, 0, 3, 1, 2, 1, 0, 3, 2, 0, 2, 4, 2, 2, 3, 0, 2, 0, 4, 1, 1, 2, 0, 3, 1, 1, 1, 1, 3, 4, 2, 0, 0, 4, 3, 0, 1, 0, 4, 0, 2, 2, 3, 0, 1, 4, 3, 4, 0, 2, 1, 3, 2, 0, 0, 4, 4, 2, 4, 0, 4, 4, 0, 1, 4, 3, 3, 0, 0, 0, 3, 0, 1, 3, 4, 0, 0, 4, 3, 4, 3, 0, 0, 3, 0, 0, 1, 3, 1, 2, 2, 4, 0, 0, 2, 2, 3, 3, 4, 1, 1, 0, 2, 1, 1, 4, 3, 1, 0, 2, 2, 1, 0, 1, 4, 4, 4, 3, 3, 4, 1, 4, 1, 4, 2, 4, 3, 3, 2, 0, 3, 3, 2, 1, 3, 3, 4, 0, 3, 4, 1, 1, 3, 4, 4, 1, 1, 2, 3, 0, 4, 2, 3, 2, 2, 3, 2, 4, 2, 4, 3, 1, 2, 2, 0, 3, 0, 3, 0, 2, 3, 0, 2, 1, 0, 3, 0, 1, 3, 3, 2, 2, 4, 1, 1, 3, 4, 2]
pubkeycol1153 = [3, 1, 0, 4, 3, 1, 1, 3, 0, 3, 0, 0, 3, 3, 3, 0, 1, 0, 2, 4, 0, 4, 4, 0, 3, 2, 1, 2, 0, 2, 4, 1, 4, 3, 1, 3, 2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 0, 4, 2, 0, 1, 0, 0, 1, 0, 0, 4, 4, 3, 2, 3, 4, 1, 0, 1, 4, 3, 4, 2, 3, 3, 1, 3, 4, 2, 4, 4, 1, 2, 1, 2, 3, 1, 3, 4, 4, 0, 1, 0, 4, 0, 3, 0, 2, 1, 2, 0, 3, 2, 4, 0, 1, 0, 2, 1, 3, 4, 0, 3, 0, 1, 0, 1, 2, 0, 4, 0, 2, 4, 2, 4, 3, 2, 4, 0, 2, 2, 4, 3, 4, 1, 1, 4, 0, 4, 0, 4, 1, 3, 4, 2, 2, 0, 2, 0, 2, 1, 0, 2, 4, 0, 3, 1, 2, 2, 4, 2, 4, 1, 1, 2, 2, 3, 4, 1, 0, 0, 2, 0, 3, 3, 0, 2, 2, 0, 2, 3, 3, 1, 3, 0, 0, 3, 3, 1, 4, 1, 0, 1, 1, 2, 2, 0, 1, 3, 0, 1, 4, 1, 0, 2, 3, 1, 4, 3, 4, 3, 4, 2, 1, 2, 1, 2, 3, 0, 0, 3, 0, 3, 3, 3, 0, 2, 0, 0, 1, 0, 0, 1, 0, 4, 3, 1, 3, 2, 4, 2, 1, 2, 2, 3, 1, 0, 1, 1, 0, 1, 0, 2, 2, 4, 1, 1, 2, 1, 3, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 4, 0, 3, 0, 2, 3, 0, 4, 0, 4, 1, 0, 3, 1, 0, 3, 0, 4, 2, 0, 3, 1, 1, 2, 1, 2, 0, 0, 1, 4, 3, 1, 0, 2, 4, 0, 0, 1, 0, 3, 0, 3, 3, 0, 1, 3, 1, 3]
pubkeycol1154 = [4, 0, 4, 3, 2, 1, 1, 2, 3, 1, 0, 4, 0, 4, 0, 2, 3, 1, 2, 3, 4, 4, 2, 0, 3, 3, 3, 0, 1, 1, 3, 2, 0, 1, 2, 1, 0, 0, 3, 2, 1, 2, 2, 0, 0, 1, 3, 0, 2, 0, 1, 3, 1, 3, 4, 3, 4, 0, 1, 4, 2, 0, 4, 4, 1, 1, 4, 2, 2, 4, 0, 3, 4, 1, 2, 1, 2, 1, 0, 4, 3, 3, 1, 1, 2, 3, 2, 1, 1, 3, 3, 0, 1, 3, 3, 4, 4, 4, 0, 0, 2, 0, 0, 4, 0, 1, 1, 4, 4, 3, 4, 2, 0, 1, 4, 4, 0, 0, 4, 2, 1, 1, 2, 1, 4, 0, 3, 0, 0, 0, 0, 4, 4, 3, 2, 1, 2, 3, 2, 0, 3, 1, 4, 3, 3, 0, 2, 4, 2, 0, 2, 1, 3, 2, 3, 4, 3, 2, 4, 3, 2, 1, 0, 1, 1, 1, 2, 3, 0, 4, 1, 1, 4, 3, 0, 4, 1, 1, 4, 0, 0, 2, 1, 0, 4, 4, 2, 0, 2, 1, 2, 3, 4, 1, 4, 3, 1, 0, 0, 2, 1, 4, 4, 4, 0, 3, 4, 0, 0, 2, 0, 0, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 3, 4, 0, 3, 1, 0, 3, 3, 2, 4, 4, 2, 4, 0, 3, 1, 1, 2, 2, 1, 0, 1, 4, 3, 3, 3, 1, 2, 3, 0, 2, 4, 1, 4, 3, 2, 1, 2, 2, 1, 1, 3, 4, 1, 4, 1, 0, 4, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 4, 0, 2, 0, 2, 1, 4, 3, 2, 2, 4, 4, 1, 4, 3, 1, 3, 4, 1, 3, 0, 3, 3, 2, 4, 2, 3, 0, 0, 1, 4, 3, 1, 1, 0, 0]
pubkeycol1155 = [1, 2, 2, 1, 3, 2, 2, 4, 1, 0, 0, 1, 3, 3, 2, 2, 4, 3, 0, 3, 4, 4, 4, 3, 1, 4, 4, 2, 1, 3, 0, 0, 3, 0, 3, 2, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 3, 3, 4, 4, 3, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 3, 3, 1, 4, 0, 0, 3, 4, 3, 4, 3, 2, 4, 1, 2, 1, 1, 3, 0, 3, 2, 0, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 1, 3, 1, 2, 2, 3, 2, 4, 0, 3, 1, 4, 4, 3, 0, 2, 3, 0, 4, 0, 4, 0, 0, 3, 1, 2, 2, 2, 2, 1, 4, 2, 4, 1, 3, 0, 4, 2, 1, 4, 2, 3, 4, 2, 0, 1, 2, 0, 2, 4, 2, 3, 0, 2, 2, 3, 1, 4, 0, 2, 0, 0, 0, 1, 3, 2, 3, 2, 4, 1, 0, 1, 2, 4, 1, 4, 4, 3, 4, 0, 0, 2, 3, 3, 4, 4, 0, 3, 3, 1, 0, 1, 0, 0, 4, 0, 4, 3, 4, 3, 0, 4, 2, 0, 4, 4, 0, 2, 2, 0, 0, 1, 4, 2, 1, 4, 3, 3, 4, 0, 0, 3, 0, 4, 1, 1, 2, 3, 4, 1, 4, 4, 3, 2, 3, 1, 1, 0, 3, 3, 1, 2, 3, 1, 3, 4, 2, 0, 4, 4, 1, 0, 0, 1, 4, 3, 4, 3, 1, 1, 1, 4, 4, 4, 4, 1, 0, 2, 3, 4, 0, 1, 1, 4, 3, 4, 0, 4, 1, 4, 0, 4, 0, 2, 4, 2, 0, 3, 3, 2, 4, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 3, 0, 4, 4, 1, 2, 2, 0, 3, 1, 0, 3, 1, 3, 2]
pubkeycol1156 = [4, 3, 4, 1, 3, 4, 3, 2, 0, 3, 4, 0, 4, 3, 0, 0, 1, 1, 1, 0, 3, 4, 3, 3, 3, 4, 3, 0, 3, 0, 3, 0, 3, 0, 4, 2, 2, 1, 4, 3, 1, 4, 0, 1, 3, 3, 1, 4, 3, 0, 4, 2, 4, 3, 3, 2, 0, 2, 2, 3, 4, 4, 4, 3, 3, 2, 4, 1, 0, 3, 0, 4, 1, 2, 3, 2, 4, 4, 0, 3, 3, 4, 2, 4, 2, 4, 3, 1, 1, 4, 0, 1, 1, 3, 3, 4, 2, 3, 2, 1, 0, 2, 4, 1, 3, 4, 0, 2, 0, 2, 4, 2, 0, 4, 3, 0, 0, 4, 1, 0, 0, 1, 1, 3, 4, 2, 4, 0, 0, 2, 4, 1, 1, 2, 1, 3, 2, 1, 3, 2, 4, 1, 3, 2, 0, 4, 2, 1, 4, 4, 2, 1, 1, 0, 2, 4, 4, 0, 4, 3, 0, 1, 2, 3, 1, 0, 3, 3, 4, 4, 4, 4, 2, 1, 1, 4, 2, 4, 3, 1, 4, 2, 3, 3, 1, 3, 0, 1, 1, 4, 2, 3, 2, 4, 0, 0, 0, 3, 2, 3, 4, 0, 4, 0, 2, 4, 0, 1, 0, 4, 0, 0, 0, 2, 1, 0, 4, 1, 3, 0, 1, 0, 1, 2, 3, 4, 3, 2, 1, 3, 2, 0, 1, 0, 1, 4, 2, 2, 4, 2, 1, 1, 1, 2, 3, 2, 0, 2, 2, 4, 3, 4, 3, 0, 4, 2, 0, 4, 1, 4, 4, 1, 1, 4, 0, 3, 2, 4, 0, 3, 2, 4, 2, 1, 2, 4, 2, 4, 2, 0, 0, 2, 3, 2, 2, 4, 3, 2, 4, 3, 1, 0, 1, 2, 0, 3, 1, 1, 3, 0, 0, 0, 1, 1, 4, 1, 1, 0, 0, 4, 1, 1, 1, 2, 1, 0, 2, 4, 3, 1]
pubkeycol1157 = [2, 3, 1, 3, 2, 2, 1, 3, 2, 2, 0, 0, 2, 0, 1, 2, 3, 0, 2, 1, 2, 1, 3, 4, 0, 2, 4, 3, 0, 4, 0, 0, 4, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 3, 1, 1, 2, 1, 0, 3, 4, 0, 1, 4, 3, 3, 1, 4, 2, 0, 4, 2, 3, 3, 3, 3, 2, 1, 3, 3, 0, 3, 3, 4, 2, 4, 4, 3, 2, 2, 3, 0, 0, 2, 2, 0, 4, 3, 0, 4, 1, 2, 0, 0, 3, 4, 0, 4, 3, 4, 2, 4, 0, 0, 4, 2, 2, 3, 0, 4, 3, 3, 3, 3, 2, 1, 0, 4, 4, 0, 0, 4, 4, 3, 1, 4, 2, 0, 3, 3, 0, 1, 3, 2, 2, 1, 2, 0, 4, 0, 1, 3, 0, 2, 1, 2, 4, 4, 0, 2, 1, 3, 1, 4, 4, 2, 1, 1, 2, 2, 3, 0, 4, 1, 1, 0, 2, 1, 4, 4, 3, 3, 4, 0, 1, 4, 2, 3, 4, 2, 0, 0, 4, 2, 3, 4, 4, 4, 3, 0, 1, 4, 4, 3, 3, 1, 4, 1, 3, 0, 1, 4, 0, 3, 2, 4, 3, 3, 1, 1, 3, 2, 4, 4, 1, 3, 2, 4, 4, 2, 1, 1, 3, 2, 1, 3, 0, 0, 4, 3, 4, 2, 0, 3, 0, 2, 0, 2, 0, 0, 2, 4, 0, 3, 0, 0, 1, 1, 1, 2, 4, 4, 4, 4, 4, 1, 4, 0, 3, 4, 4, 0, 4, 1, 2, 4, 1, 0, 2, 2, 3, 4, 0, 1, 2, 2, 1, 2, 3, 4, 0, 4, 1, 1, 1, 4, 3, 3, 3, 0, 0, 2, 1, 3, 1, 1, 3, 2, 1, 4, 1, 2, 4, 1, 3, 0, 1, 3, 2, 3, 2, 4, 3, 3, 2, 3, 4, 0, 3]
pubkeycol1158 = [3, 4, 1, 4, 0, 4, 0, 4, 1, 0, 3, 4, 0, 3, 3, 3, 1, 4, 4, 4, 4, 1, 3, 4, 2, 0, 4, 4, 0, 3, 2, 1, 1, 3, 3, 4, 2, 1, 1, 4, 4, 4, 4, 4, 0, 3, 3, 2, 0, 1, 0, 2, 3, 0, 0, 4, 0, 0, 3, 4, 2, 4, 2, 4, 2, 0, 2, 2, 4, 3, 2, 0, 1, 2, 2, 0, 1, 1, 3, 2, 0, 2, 4, 0, 3, 2, 2, 0, 4, 4, 2, 0, 4, 4, 1, 1, 3, 0, 2, 0, 2, 4, 1, 0, 1, 1, 0, 3, 1, 0, 3, 2, 2, 2, 1, 0, 3, 4, 4, 1, 2, 2, 1, 4, 3, 0, 2, 1, 1, 1, 2, 3, 0, 2, 4, 1, 4, 4, 2, 1, 0, 4, 3, 0, 4, 1, 0, 2, 1, 1, 0, 4, 2, 1, 4, 4, 0, 2, 3, 4, 4, 0, 1, 4, 0, 3, 3, 1, 1, 0, 1, 4, 3, 4, 0, 0, 4, 4, 4, 4, 1, 2, 3, 1, 3, 4, 2, 3, 3, 4, 1, 3, 0, 0, 4, 3, 2, 3, 3, 0, 4, 4, 0, 2, 2, 3, 1, 3, 1, 1, 1, 0, 4, 4, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 4, 0, 4, 1, 4, 1, 4, 4, 1, 1, 2, 0, 0, 3, 0, 0, 1, 3, 4, 4, 3, 2, 1, 2, 2, 3, 4, 3, 4, 0, 1, 1, 2, 1, 0, 1, 4, 0, 3, 3, 4, 4, 0, 4, 2, 0, 1, 3, 2, 1, 0, 4, 3, 1, 2, 1, 3, 0, 4, 4, 3, 2, 2, 0, 4, 4, 4, 0, 3, 3, 1, 2, 1, 0, 0, 4, 1, 3, 0, 0, 2, 3, 0, 1, 4, 3, 1, 3, 2, 0, 3, 1, 0, 1, 4]
pubkeycol1159 = [0, 1, 0, 0, 3, 3, 2, 4, 2, 1, 4, 4, 3, 1, 4, 0, 0, 4, 1, 0, 1, 1, 4, 3, 1, 0, 3, 2, 3, 1, 0, 2, 1, 0, 0, 4, 3, 1, 0, 3, 3, 0, 0, 3, 1, 2, 2, 3, 2, 1, 0, 4, 0, 4, 1, 2, 0, 2, 3, 0, 2, 1, 3, 0, 0, 0, 0, 3, 0, 2, 0, 1, 1, 4, 3, 1, 2, 2, 1, 0, 4, 2, 3, 2, 0, 3, 0, 0, 2, 2, 0, 1, 1, 0, 0, 3, 0, 2, 2, 3, 0, 0, 4, 2, 3, 0, 0, 4, 3, 3, 1, 3, 0, 0, 1, 1, 2, 0, 3, 4, 3, 0, 1, 0, 0, 1, 1, 3, 1, 2, 2, 2, 0, 0, 4, 4, 1, 0, 3, 4, 3, 0, 3, 0, 2, 2, 2, 4, 1, 2, 1, 0, 0, 1, 2, 3, 2, 2, 0, 0, 4, 4, 4, 4, 0, 3, 4, 1, 0, 0, 4, 4, 2, 2, 3, 1, 4, 2, 4, 4, 4, 0, 3, 3, 2, 0, 3, 4, 2, 4, 0, 2, 3, 0, 2, 3, 3, 4, 4, 3, 1, 3, 3, 0, 3, 0, 0, 3, 1, 0, 1, 1, 3, 2, 2, 3, 4, 1, 0, 1, 1, 1, 3, 3, 3, 3, 4, 2, 0, 0, 0, 3, 0, 2, 4, 1, 1, 1, 2, 2, 0, 1, 1, 3, 0, 4, 4, 2, 1, 3, 0, 0, 0, 3, 0, 1, 4, 1, 4, 4, 3, 2, 2, 4, 1, 1, 2, 0, 2, 2, 1, 1, 3, 2, 4, 2, 0, 0, 2, 1, 4, 3, 2, 0, 0, 2, 0, 2, 4, 1, 1, 1, 0, 1, 2, 2, 0, 1, 4, 3, 3, 1, 3, 1, 3, 4, 0, 2, 0, 3, 0, 4, 4, 3, 1, 4, 4, 0, 0, 2]
pubkeycol1160 = [1, 3, 4, 3, 3, 4, 0, 0, 0, 0, 3, 2, 0, 4, 3, 2, 1, 3, 1, 3, 2, 2, 1, 4, 3, 1, 3, 3, 4, 1, 1, 1, 0, 1, 0, 3, 1, 1, 4, 4, 3, 3, 1, 1, 2, 1, 1, 1, 1, 0, 2, 3, 2, 3, 2, 0, 0, 2, 2, 4, 1, 1, 4, 4, 0, 1, 2, 0, 0, 0, 3, 1, 1, 0, 2, 4, 1, 3, 0, 0, 0, 4, 1, 3, 0, 1, 1, 4, 0, 2, 3, 4, 3, 1, 4, 4, 3, 3, 4, 2, 1, 3, 3, 0, 4, 0, 4, 2, 4, 4, 4, 3, 1, 4, 3, 0, 2, 2, 2, 3, 2, 0, 3, 0, 4, 0, 3, 1, 1, 4, 1, 1, 4, 2, 2, 0, 1, 4, 4, 4, 0, 4, 4, 4, 2, 0, 1, 3, 2, 0, 4, 3, 2, 2, 2, 1, 2, 4, 0, 3, 4, 3, 4, 2, 0, 3, 2, 3, 3, 0, 3, 0, 1, 1, 3, 0, 4, 3, 1, 1, 3, 4, 4, 4, 1, 3, 4, 2, 0, 2, 1, 0, 3, 2, 4, 0, 1, 1, 3, 1, 4, 0, 3, 0, 0, 2, 1, 3, 3, 0, 2, 0, 1, 3, 1, 4, 2, 2, 2, 3, 4, 1, 4, 3, 2, 4, 3, 3, 0, 3, 3, 2, 3, 2, 2, 2, 3, 4, 0, 4, 4, 2, 1, 4, 0, 4, 4, 3, 2, 1, 0, 1, 0, 1, 3, 2, 2, 1, 3, 4, 3, 2, 2, 0, 4, 2, 2, 0, 0, 4, 2, 4, 0, 4, 0, 2, 4, 3, 0, 4, 1, 4, 2, 3, 1, 4, 3, 2, 1, 3, 3, 3, 0, 4, 3, 2, 0, 3, 1, 0, 0, 2, 3, 0, 1, 1, 4, 4, 2, 0, 3, 1, 0, 1, 3, 1, 1, 1, 3, 3]
pubkeycol1161 = [2, 0, 1, 2, 2, 4, 4, 1, 2, 4, 2, 0, 3, 3, 3, 3, 0, 3, 2, 1, 4, 2, 4, 3, 2, 2, 0, 0, 2, 0, 1, 4, 3, 1, 3, 3, 1, 3, 4, 0, 4, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 4, 3, 4, 0, 1, 0, 1, 0, 1, 4, 0, 1, 2, 1, 0, 2, 1, 4, 3, 2, 2, 4, 1, 0, 2, 1, 4, 1, 2, 2, 0, 4, 2, 1, 4, 2, 4, 3, 4, 4, 3, 0, 2, 0, 0, 1, 0, 1, 4, 3, 3, 3, 0, 2, 1, 4, 3, 3, 3, 1, 2, 3, 4, 2, 2, 0, 1, 0, 1, 1, 3, 3, 0, 2, 1, 1, 4, 1, 4, 1, 4, 2, 1, 2, 1, 2, 1, 2, 0, 3, 1, 3, 3, 2, 3, 3, 0, 0, 2, 2, 1, 2, 3, 3, 3, 4, 4, 4, 1, 3, 4, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 4, 0, 4, 3, 3, 2, 3, 3, 0, 1, 4, 2, 2, 4, 2, 1, 1, 4, 1, 3, 0, 1, 3, 4, 0, 2, 4, 1, 3, 2, 0, 3, 2, 3, 2, 1, 3, 3, 4, 3, 0, 3, 0, 0, 3, 4, 1, 4, 0, 2, 0, 3, 0, 0, 4, 0, 2, 3, 4, 3, 3, 1, 2, 3, 0, 4, 2, 4, 3, 3, 3, 3, 1, 2, 0, 3, 3, 0, 3, 4, 1, 4, 4, 1, 3, 1, 0, 3, 4, 3, 2, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 4, 2, 2, 3, 1, 1, 4, 4, 3, 2, 4, 4, 4, 2, 0, 4, 4, 1, 4, 2, 3, 2, 3, 3, 0, 0, 0, 2, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 4]
pubkeycol1162 = [0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 3, 2, 1, 3, 3, 4, 3, 1, 4, 2, 1, 4, 1, 2, 0, 3, 2, 0, 3, 1, 4, 3, 1, 4, 3, 4, 1, 3, 2, 4, 2, 0, 4, 4, 3, 4, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 4, 1, 0, 1, 1, 1, 3, 0, 0, 4, 2, 0, 3, 0, 1, 0, 1, 1, 3, 1, 4, 2, 4, 1, 1, 0, 2, 4, 3, 2, 2, 2, 3, 3, 1, 0, 1, 4, 2, 3, 4, 3, 0, 1, 4, 3, 3, 1, 0, 2, 2, 0, 3, 4, 1, 4, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 4, 1, 1, 2, 0, 1, 2, 2, 4, 3, 3, 3, 0, 4, 4, 1, 4, 4, 0, 1, 4, 2, 0, 0, 4, 4, 2, 3, 3, 1, 1, 2, 4, 3, 4, 1, 1, 0, 1, 2, 0, 3, 4, 3, 2, 1, 4, 4, 4, 4, 3, 2, 0, 1, 3, 3, 2, 2, 3, 1, 1, 4, 2, 1, 2, 2, 1, 4, 0, 2, 4, 2, 1, 0, 3, 1, 0, 4, 2, 2, 2, 1, 0, 3, 4, 2, 2, 2, 0, 2, 2, 0, 3, 0, 1, 2, 2, 1, 1, 4, 1, 2, 2, 3, 2, 0, 0, 0, 4, 0, 3, 3, 4, 0, 2, 2, 2, 2, 1, 4, 1, 0, 2, 2, 2, 1, 3, 0, 2, 1, 0, 2, 2, 2, 3, 2, 4, 4, 4, 3, 1, 3, 1, 1, 1, 2, 3, 0, 4, 4, 0, 4, 1, 3, 0, 1, 2, 1, 0, 3, 1, 2, 1, 2, 1, 1, 1, 4, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 3, 1, 1, 0, 2, 0, 1, 2, 4, 0, 4, 3, 0, 2]
pubkeycol1163 = [1, 3, 3, 1, 4, 1, 2, 0, 4, 3, 0, 1, 0, 0, 2, 3, 1, 3, 1, 2, 4, 3, 1, 2, 2, 3, 4, 1, 2, 3, 4, 2, 3, 3, 1, 4, 3, 1, 2, 1, 3, 4, 2, 4, 4, 4, 0, 2, 3, 0, 4, 4, 0, 0, 1, 0, 4, 4, 3, 2, 2, 1, 3, 1, 2, 0, 3, 0, 0, 0, 1, 4, 1, 0, 3, 4, 4, 4, 3, 4, 2, 4, 1, 1, 1, 0, 4, 1, 1, 2, 1, 2, 1, 0, 2, 0, 3, 3, 0, 4, 0, 0, 2, 0, 0, 0, 3, 0, 2, 4, 2, 0, 2, 4, 1, 4, 4, 1, 3, 0, 3, 0, 4, 1, 0, 3, 0, 3, 0, 4, 4, 1, 0, 1, 3, 3, 0, 1, 4, 1, 2, 1, 2, 3, 3, 0, 2, 4, 2, 1, 4, 1, 2, 2, 3, 3, 2, 3, 4, 1, 0, 4, 1, 0, 3, 2, 1, 0, 1, 4, 4, 3, 2, 3, 0, 2, 1, 2, 1, 3, 4, 0, 2, 4, 4, 2, 2, 3, 0, 2, 4, 4, 2, 1, 4, 4, 1, 0, 0, 3, 4, 2, 0, 4, 3, 4, 4, 4, 4, 4, 3, 2, 2, 0, 4, 2, 4, 1, 0, 4, 2, 2, 1, 1, 0, 1, 0, 3, 2, 2, 3, 2, 3, 4, 2, 2, 2, 2, 3, 1, 1, 3, 4, 1, 2, 4, 4, 4, 4, 3, 1, 1, 3, 2, 2, 1, 4, 2, 1, 3, 2, 2, 2, 1, 4, 3, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 4, 0, 3, 2, 3, 2, 3, 2, 1, 2, 4, 1, 3, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 3, 3, 3, 4, 0, 0, 0, 1, 3, 0, 0, 1, 2, 3, 1, 2, 1, 4, 0, 4, 2]
pubkeycol1164 = [2, 1, 2, 0, 3, 2, 2, 3, 4, 1, 1, 0, 0, 4, 0, 2, 3, 0, 2, 0, 4, 2, 4, 4, 2, 3, 4, 0, 2, 4, 1, 3, 2, 2, 0, 3, 2, 4, 4, 4, 3, 0, 2, 2, 1, 3, 0, 2, 4, 2, 2, 3, 3, 3, 4, 0, 0, 2, 3, 3, 0, 1, 4, 3, 3, 0, 2, 4, 2, 2, 0, 2, 3, 0, 0, 4, 0, 0, 2, 4, 2, 4, 2, 1, 1, 4, 2, 2, 2, 0, 4, 1, 2, 0, 2, 2, 1, 4, 1, 3, 3, 0, 2, 0, 1, 4, 2, 1, 3, 1, 1, 1, 0, 0, 3, 2, 4, 0, 2, 1, 1, 4, 2, 3, 3, 4, 4, 4, 1, 3, 4, 3, 2, 0, 2, 3, 3, 1, 4, 3, 1, 0, 3, 2, 4, 1, 3, 2, 1, 3, 1, 1, 1, 1, 3, 4, 3, 4, 3, 0, 2, 4, 4, 2, 2, 0, 2, 3, 2, 1, 0, 4, 3, 2, 0, 4, 2, 3, 1, 1, 2, 1, 1, 0, 4, 4, 4, 1, 1, 4, 3, 4, 4, 0, 1, 2, 3, 4, 0, 4, 1, 1, 4, 4, 4, 2, 2, 4, 2, 4, 1, 4, 3, 0, 0, 1, 1, 4, 4, 0, 1, 2, 3, 0, 3, 2, 0, 4, 1, 4, 3, 1, 4, 4, 3, 2, 2, 1, 4, 0, 4, 0, 0, 1, 4, 4, 2, 3, 4, 0, 2, 1, 3, 2, 2, 3, 0, 4, 0, 3, 2, 1, 2, 1, 4, 4, 4, 3, 2, 2, 3, 4, 4, 4, 3, 3, 2, 3, 2, 2, 1, 0, 1, 2, 3, 1, 4, 0, 0, 3, 0, 1, 4, 3, 3, 1, 0, 2, 0, 1, 4, 3, 4, 2, 0, 0, 3, 0, 1, 2, 3, 0, 3, 4, 3, 0, 1, 1, 4, 0]
pubkeycol1165 = [1, 0, 3, 0, 0, 1, 4, 3, 1, 1, 4, 0, 3, 2, 1, 0, 0, 2, 3, 1, 3, 4, 0, 3, 4, 3, 2, 1, 4, 4, 3, 1, 3, 0, 4, 4, 3, 2, 1, 0, 1, 2, 4, 0, 2, 3, 3, 2, 1, 3, 4, 4, 4, 0, 2, 3, 3, 0, 2, 2, 4, 0, 0, 2, 4, 2, 0, 3, 4, 2, 3, 0, 3, 3, 4, 1, 4, 4, 2, 2, 2, 2, 3, 1, 1, 4, 4, 0, 0, 0, 1, 4, 3, 1, 2, 4, 1, 0, 3, 0, 2, 2, 4, 4, 1, 1, 2, 0, 3, 4, 1, 4, 2, 4, 0, 2, 4, 3, 4, 4, 4, 3, 4, 0, 0, 2, 2, 1, 2, 2, 3, 1, 0, 4, 0, 4, 4, 0, 4, 0, 2, 2, 1, 0, 1, 4, 1, 0, 2, 2, 0, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 0, 1, 0, 0, 1, 2, 0, 4, 1, 2, 1, 0, 3, 3, 1, 4, 3, 2, 1, 4, 2, 2, 0, 1, 3, 4, 3, 3, 1, 3, 4, 1, 1, 0, 2, 4, 4, 4, 0, 2, 1, 1, 3, 1, 0, 3, 4, 2, 1, 4, 3, 2, 3, 0, 3, 4, 0, 1, 4, 3, 0, 3, 2, 4, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 4, 1, 1, 4, 2, 0, 3, 3, 2, 2, 3, 3, 0, 0, 2, 2, 0, 1, 3, 0, 4, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 3, 3, 0, 4, 4, 2, 2, 2, 2, 0, 1, 2, 4, 2, 0, 2, 0, 3, 4, 3, 0, 3, 1, 4, 4, 4, 1, 1, 1, 1, 3, 4, 2, 2, 0, 4, 1, 4, 1, 1, 2, 3, 4, 2, 3, 3, 3, 4, 0, 0, 1, 0, 3, 3]
pubkeycol1166 = [0, 3, 3, 2, 1, 4, 0, 2, 0, 2, 0, 1, 3, 4, 0, 1, 4, 1, 3, 2, 0, 3, 3, 2, 0, 3, 0, 2, 0, 2, 1, 1, 1, 3, 2, 1, 0, 1, 2, 3, 2, 2, 0, 1, 4, 2, 3, 2, 1, 1, 4, 0, 3, 1, 4, 4, 4, 4, 2, 0, 3, 4, 3, 3, 2, 0, 3, 1, 3, 2, 2, 0, 3, 4, 0, 3, 0, 2, 3, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 2, 3, 4, 3, 3, 1, 3, 0, 4, 0, 0, 1, 0, 3, 0, 3, 2, 3, 3, 3, 0, 1, 4, 4, 4, 3, 4, 3, 3, 4, 0, 2, 0, 2, 2, 4, 0, 4, 4, 2, 0, 1, 2, 2, 1, 4, 2, 2, 4, 4, 0, 3, 4, 3, 2, 4, 2, 3, 3, 2, 1, 4, 3, 1, 2, 4, 4, 1, 2, 0, 1, 2, 4, 0, 0, 4, 0, 1, 4, 1, 4, 2, 3, 2, 1, 2, 3, 1, 1, 1, 3, 1, 1, 0, 0, 3, 3, 0, 2, 1, 1, 0, 4, 1, 0, 1, 3, 2, 2, 4, 1, 0, 4, 4, 4, 3, 4, 2, 1, 2, 2, 0, 2, 0, 3, 0, 3, 1, 1, 3, 1, 1, 0, 4, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 4, 1, 0, 1, 3, 0, 3, 1, 0, 0, 1, 2, 4, 1, 3, 0, 0, 0, 4, 0, 1, 2, 2, 4, 0, 2, 2, 1, 4, 4, 4, 2, 1, 4, 2, 4, 2, 3, 3, 0, 2, 3, 0, 1, 3, 2, 0, 3, 0, 2, 0, 0, 4, 1, 3, 2, 2, 2, 1, 0, 4, 1, 4, 2, 1, 4, 2, 0, 1, 0, 3, 4, 4]
pubkeycol1167 = [1, 1, 2, 4, 3, 2, 4, 1, 0, 0, 3, 2, 4, 1, 3, 3, 3, 2, 0, 4, 2, 4, 3, 4, 1, 3, 4, 0, 4, 4, 4, 4, 4, 3, 0, 1, 2, 4, 0, 2, 0, 2, 4, 1, 4, 2, 0, 1, 0, 4, 4, 0, 3, 1, 1, 3, 0, 1, 2, 1, 0, 3, 3, 3, 4, 2, 3, 4, 4, 2, 2, 2, 3, 1, 0, 1, 0, 0, 3, 1, 3, 1, 0, 2, 4, 3, 3, 0, 1, 4, 1, 0, 3, 0, 3, 4, 4, 1, 0, 1, 3, 3, 4, 4, 3, 3, 2, 0, 2, 3, 1, 0, 4, 0, 1, 0, 4, 3, 1, 0, 2, 4, 2, 1, 4, 0, 0, 0, 2, 1, 1, 2, 3, 3, 2, 0, 1, 1, 3, 0, 2, 0, 3, 4, 4, 1, 1, 0, 3, 4, 1, 4, 1, 1, 3, 1, 2, 3, 3, 0, 2, 4, 0, 0, 2, 0, 3, 3, 1, 0, 3, 1, 3, 4, 1, 0, 4, 2, 2, 2, 4, 3, 1, 2, 3, 0, 3, 1, 1, 2, 1, 1, 1, 3, 1, 3, 4, 0, 4, 4, 0, 4, 1, 2, 3, 1, 0, 2, 3, 3, 3, 1, 4, 0, 3, 0, 4, 2, 2, 0, 0, 4, 0, 1, 3, 4, 2, 0, 0, 2, 2, 2, 0, 4, 4, 3, 3, 4, 0, 2, 3, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 4, 3, 1, 3, 1, 0, 2, 0, 4, 3, 1, 1, 2, 2, 1, 2, 2, 2, 4, 3, 4, 0, 1, 2, 2, 0, 1, 4, 3, 4, 1, 3, 2, 1, 0, 3, 1, 0, 0, 0, 3, 1, 4, 4, 4, 4, 2, 1, 4, 3, 0, 1, 4, 0, 4, 4, 2, 3, 4, 3, 0, 0, 4, 0, 0, 1, 0]
pubkeycol1168 = [4, 0, 0, 0, 1, 1, 3, 1, 1, 2, 3, 2, 4, 0, 0, 4, 2, 1, 1, 0, 4, 3, 4, 3, 2, 0, 2, 3, 4, 1, 2, 0, 2, 1, 2, 4, 1, 1, 0, 0, 2, 2, 2, 2, 1, 4, 3, 4, 3, 4, 4, 0, 0, 0, 1, 0, 3, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 4, 3, 0, 2, 3, 4, 3, 0, 1, 2, 0, 1, 0, 1, 1, 4, 1, 3, 2, 3, 1, 1, 1, 1, 4, 2, 2, 2, 4, 2, 1, 4, 4, 3, 0, 4, 0, 3, 1, 0, 1, 3, 0, 1, 2, 1, 3, 2, 3, 0, 3, 1, 2, 1, 1, 1, 2, 3, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 3, 1, 4, 2, 2, 0, 2, 1, 2, 2, 1, 4, 1, 2, 3, 4, 2, 4, 2, 1, 1, 1, 3, 3, 0, 0, 4, 0, 0, 4, 3, 2, 3, 3, 1, 2, 1, 4, 1, 3, 2, 3, 2, 0, 3, 1, 4, 3, 1, 1, 1, 0, 3, 3, 2, 4, 4, 0, 0, 4, 4, 4, 4, 4, 1, 2, 4, 3, 3, 3, 4, 1, 2, 4, 0, 0, 3, 0, 3, 1, 0, 4, 1, 0, 4, 2, 1, 4, 3, 2, 3, 0, 3, 0, 1, 2, 2, 4, 1, 1, 4, 4, 3, 0, 2, 4, 2, 1, 1, 3, 0, 2, 3, 2, 3, 2, 4, 2, 3, 4, 0, 1, 1, 4, 2, 2, 2, 0, 1, 2, 4, 4, 0, 3, 2, 2, 4, 3, 3, 4, 0, 2, 3, 2, 0, 1, 0, 1, 3, 4, 0, 0, 3, 0, 0, 0, 3, 4, 1, 1, 0, 0, 2, 2, 1, 4, 2, 0, 1, 0, 0, 0, 2, 0, 2, 3, 4, 1, 4, 2, 4]
pubkeycol1169 = [1, 2, 0, 2, 3, 0, 0, 2, 2, 0, 4, 0, 4, 0, 3, 2, 4, 2, 1, 3, 4, 0, 2, 1, 0, 0, 4, 3, 1, 0, 2, 0, 4, 0, 0, 2, 0, 3, 0, 3, 4, 3, 3, 4, 2, 1, 2, 4, 4, 3, 0, 0, 2, 3, 1, 2, 0, 3, 0, 4, 2, 1, 1, 1, 3, 2, 0, 3, 0, 1, 2, 2, 3, 1, 4, 3, 2, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 4, 2, 3, 3, 0, 3, 0, 1, 3, 0, 3, 3, 4, 1, 1, 4, 3, 2, 0, 4, 0, 3, 0, 3, 0, 0, 0, 2, 3, 2, 0, 4, 2, 4, 0, 1, 2, 3, 2, 2, 2, 4, 0, 2, 1, 1, 0, 4, 0, 2, 2, 4, 2, 4, 3, 1, 3, 0, 1, 4, 3, 3, 1, 4, 0, 3, 0, 0, 0, 4, 1, 2, 4, 1, 0, 1, 2, 0, 1, 0, 0, 4, 3, 2, 4, 4, 3, 1, 1, 2, 2, 2, 4, 2, 4, 2, 4, 2, 0, 3, 3, 0, 0, 1, 2, 1, 0, 3, 4, 4, 0, 3, 2, 4, 1, 2, 2, 4, 2, 3, 0, 1, 3, 3, 1, 0, 1, 3, 0, 2, 3, 1, 1, 3, 0, 0, 0, 1, 3, 2, 3, 0, 4, 4, 0, 4, 2, 1, 0, 3, 3, 0, 1, 4, 4, 1, 2, 3, 2, 1, 3, 2, 4, 4, 3, 3, 2, 2, 1, 4, 1, 1, 4, 0, 3, 1, 0, 2, 0, 0, 1, 1, 1, 2, 4, 3, 4, 3, 1, 4, 3, 2, 0, 0, 3, 3, 4, 0, 1, 4, 3, 1, 1, 3, 0, 3, 0, 1, 1, 4, 1, 2, 2, 3, 1, 1, 4, 2, 3, 0, 3, 0, 3, 3, 2, 0, 1, 2, 0, 1, 4, 4, 1]
pubkeycol1170 = [4, 2, 3, 1, 0, 0, 0, 3, 1, 4, 4, 3, 3, 4, 2, 2, 2, 1, 3, 0, 4, 4, 3, 2, 3, 2, 0, 1, 0, 3, 0, 4, 0, 3, 3, 2, 3, 4, 3, 0, 4, 1, 0, 4, 1, 4, 0, 4, 3, 4, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 3, 4, 3, 4, 0, 4, 1, 2, 2, 3, 3, 0, 4, 3, 2, 1, 1, 2, 3, 0, 1, 1, 3, 2, 3, 4, 4, 3, 2, 3, 3, 1, 4, 2, 1, 4, 3, 0, 2, 2, 4, 1, 0, 2, 0, 4, 1, 4, 0, 1, 3, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 3, 4, 2, 4, 4, 4, 0, 2, 2, 1, 2, 3, 2, 3, 1, 0, 1, 2, 3, 0, 4, 2, 2, 1, 1, 4, 4, 1, 3, 3, 0, 3, 0, 0, 3, 4, 0, 4, 0, 3, 3, 0, 0, 0, 0, 2, 1, 2, 4, 0, 0, 1, 2, 4, 2, 4, 1, 4, 3, 1, 4, 3, 3, 0, 1, 4, 4, 1, 0, 4, 0, 4, 4, 2, 0, 1, 4, 0, 1, 1, 1, 0, 3, 4, 0, 0, 3, 3, 3, 3, 4, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 3, 1, 1, 4, 2, 0, 1, 4, 3, 4, 1, 1, 1, 2, 2, 2, 1, 2, 1, 4, 0, 0, 0, 3, 0, 3, 3, 1, 2, 1, 0, 4, 0, 3, 2, 3, 3, 2, 2, 1, 4, 1, 4, 1, 3, 3, 2, 0, 0, 1, 4, 3, 0, 4, 3, 2, 4, 0, 0, 4, 0, 0, 3, 0, 1, 3, 4, 2, 0, 0, 3, 4, 2, 2, 3, 3, 4, 1, 1, 0, 3, 1, 4, 4, 1, 3, 0, 2, 0, 0, 4, 4]
pubkeycol1171 = [3, 2, 1, 1, 4, 1, 3, 2, 0, 3, 4, 1, 2, 0, 2, 3, 4, 3, 1, 0, 1, 4, 4, 4, 3, 0, 3, 1, 3, 4, 4, 2, 0, 4, 3, 4, 3, 3, 4, 4, 2, 2, 4, 4, 1, 2, 2, 1, 1, 3, 3, 4, 1, 2, 3, 4, 4, 0, 3, 1, 0, 4, 1, 2, 2, 4, 2, 3, 2, 3, 4, 0, 2, 0, 0, 0, 3, 3, 1, 3, 3, 0, 1, 2, 0, 1, 2, 3, 4, 1, 2, 2, 4, 3, 4, 2, 1, 2, 4, 2, 1, 1, 0, 1, 4, 2, 3, 2, 2, 1, 2, 3, 0, 0, 4, 3, 2, 4, 1, 0, 3, 1, 0, 4, 1, 2, 0, 1, 1, 2, 4, 0, 4, 0, 2, 4, 1, 1, 2, 4, 1, 0, 1, 0, 2, 1, 4, 1, 2, 2, 2, 1, 0, 2, 4, 0, 0, 4, 4, 1, 2, 0, 0, 4, 3, 1, 0, 1, 2, 4, 3, 1, 4, 1, 3, 2, 0, 0, 0, 1, 4, 2, 2, 3, 1, 2, 1, 2, 0, 0, 4, 2, 2, 2, 1, 2, 3, 4, 3, 2, 2, 2, 3, 0, 4, 0, 3, 2, 2, 3, 2, 4, 3, 4, 1, 2, 3, 2, 2, 3, 0, 3, 2, 0, 4, 1, 0, 0, 0, 2, 2, 1, 2, 3, 2, 0, 4, 3, 1, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 0, 4, 0, 0, 1, 4, 2, 4, 4, 3, 0, 2, 0, 1, 3, 1, 2, 4, 1, 0, 4, 2, 3, 2, 4, 2, 1, 3, 3, 2, 4, 2, 1, 2, 2, 1, 4, 3, 1, 1, 1, 3, 0, 2, 3, 1, 4, 1, 2, 4, 1, 3, 1, 0, 2, 3, 1, 3, 2, 3, 3, 0, 2, 4, 1, 4, 4, 3, 0, 0, 1]
pubkeycol1172 = [2, 4, 2, 1, 4, 4, 4, 4, 3, 2, 2, 2, 1, 2, 4, 0, 1, 4, 4, 1, 2, 4, 0, 4, 0, 2, 2, 4, 0, 2, 4, 3, 0, 2, 0, 0, 2, 4, 4, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 3, 0, 2, 1, 0, 0, 1, 4, 4, 3, 2, 4, 1, 0, 3, 1, 3, 4, 3, 2, 4, 3, 0, 0, 4, 4, 2, 4, 4, 0, 0, 0, 4, 3, 4, 0, 4, 3, 2, 3, 2, 4, 0, 3, 0, 3, 4, 2, 0, 2, 4, 3, 0, 0, 4, 4, 1, 2, 2, 0, 4, 3, 0, 3, 2, 1, 1, 3, 3, 1, 1, 0, 2, 2, 3, 1, 2, 0, 2, 4, 2, 1, 3, 0, 4, 0, 1, 3, 1, 1, 4, 3, 4, 2, 4, 1, 3, 0, 3, 4, 4, 0, 0, 4, 2, 2, 3, 4, 0, 3, 2, 1, 4, 0, 3, 4, 3, 4, 1, 3, 3, 2, 1, 1, 2, 2, 3, 0, 2, 4, 4, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 4, 3, 4, 2, 2, 2, 0, 0, 1, 3, 2, 4, 4, 1, 2, 2, 4, 4, 1, 2, 2, 2, 4, 3, 3, 4, 2, 3, 1, 0, 0, 4, 4, 2, 1, 1, 0, 1, 3, 1, 3, 1, 3, 0, 1, 2, 2, 2, 2, 4, 3, 1, 4, 1, 1, 4, 3, 4, 0, 3, 4, 2, 0, 1, 4, 3, 4, 0, 0, 3, 0, 4, 1, 0, 3, 0, 4, 1, 2, 0, 0, 0, 1, 0, 4, 2, 1, 0, 1, 0, 4, 3, 4, 4, 2, 2, 1, 0, 4, 2, 2, 0, 2, 1, 0, 4, 4, 0, 1, 0, 4, 3, 3, 3, 1, 4, 2, 4, 3, 3, 0, 3, 3, 1, 4, 0, 3, 1, 0]
pubkeycol1173 = [0, 2, 1, 0, 0, 2, 4, 2, 3, 0, 4, 1, 3, 2, 3, 1, 3, 2, 4, 1, 0, 1, 2, 3, 3, 4, 3, 1, 3, 2, 0, 2, 3, 3, 4, 1, 2, 4, 3, 0, 0, 1, 0, 3, 1, 3, 3, 1, 1, 0, 4, 0, 4, 4, 3, 1, 3, 3, 1, 3, 0, 1, 2, 1, 4, 4, 0, 2, 2, 4, 2, 2, 1, 4, 0, 1, 0, 0, 0, 2, 0, 0, 4, 1, 2, 0, 2, 3, 3, 4, 3, 0, 4, 2, 2, 2, 4, 2, 1, 0, 3, 0, 3, 2, 1, 2, 3, 3, 4, 1, 0, 2, 2, 0, 2, 3, 0, 1, 1, 3, 0, 1, 3, 3, 0, 0, 2, 0, 3, 4, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 0, 3, 4, 3, 1, 2, 3, 0, 4, 3, 2, 3, 2, 0, 2, 0, 0, 4, 2, 4, 3, 2, 2, 0, 3, 2, 2, 1, 3, 0, 3, 2, 2, 0, 3, 2, 4, 2, 0, 1, 0, 2, 0, 1, 0, 3, 1, 0, 0, 0, 0, 0, 4, 3, 1, 2, 4, 3, 4, 1, 4, 1, 0, 0, 0, 4, 3, 4, 2, 3, 3, 3, 2, 4, 1, 1, 3, 2, 3, 3, 4, 2, 4, 4, 2, 0, 2, 4, 3, 1, 1, 3, 0, 0, 3, 0, 0, 0, 2, 0, 3, 2, 0, 2, 3, 4, 0, 0, 1, 0, 1, 4, 0, 2, 2, 3, 1, 3, 2, 4, 0, 3, 1, 3, 4, 0, 4, 4, 3, 0, 3, 3, 0, 0, 1, 4, 4, 1, 2, 4, 0, 4, 0, 2, 1, 1, 0, 1, 0, 3, 4, 4, 1, 1, 2, 0, 3, 1, 3, 3, 2, 2, 1, 0, 2, 2, 3, 4, 0, 1, 1, 2, 4, 4, 2, 3, 4, 3, 4, 1]
pubkeycol1174 = [1, 0, 3, 4, 0, 2, 2, 3, 3, 0, 0, 2, 4, 2, 4, 0, 0, 4, 0, 0, 3, 1, 1, 0, 4, 2, 0, 2, 2, 3, 3, 1, 4, 1, 1, 2, 3, 2, 3, 1, 4, 4, 3, 1, 0, 0, 0, 1, 0, 4, 4, 2, 4, 0, 1, 0, 1, 3, 0, 3, 2, 4, 1, 4, 4, 0, 3, 2, 3, 4, 0, 0, 0, 1, 4, 0, 3, 2, 3, 3, 1, 4, 0, 1, 1, 3, 4, 4, 4, 3, 3, 4, 1, 2, 3, 0, 3, 0, 3, 3, 4, 1, 3, 2, 3, 4, 4, 3, 2, 0, 1, 1, 1, 1, 4, 1, 1, 0, 4, 1, 3, 0, 3, 1, 2, 3, 2, 3, 0, 4, 2, 0, 1, 0, 1, 3, 3, 1, 0, 1, 1, 1, 3, 4, 1, 2, 0, 2, 0, 0, 2, 4, 1, 4, 1, 3, 0, 1, 2, 4, 3, 1, 1, 3, 0, 2, 0, 3, 0, 3, 0, 1, 1, 4, 2, 1, 0, 1, 3, 0, 3, 1, 0, 2, 2, 4, 1, 2, 0, 1, 2, 2, 3, 1, 2, 4, 4, 3, 2, 0, 0, 1, 3, 4, 1, 3, 0, 1, 3, 1, 3, 3, 0, 0, 1, 4, 1, 2, 4, 4, 1, 0, 3, 4, 4, 2, 2, 2, 1, 1, 0, 4, 2, 1, 2, 0, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 2, 0, 3, 0, 1, 1, 3, 4, 3, 4, 0, 2, 1, 1, 1, 3, 3, 3, 1, 4, 1, 3, 0, 4, 3, 3, 2, 3, 2, 4, 0, 4, 2, 0, 3, 3, 3, 3, 3, 0, 4, 4, 1, 4, 2, 4, 4, 1, 1, 3, 4, 3, 4, 3, 0, 4, 0, 1, 4, 1, 1, 4, 0, 2, 1, 3, 1, 4, 2, 2, 3, 1, 4, 0]
pubkeycol1175 = [0, 4, 3, 4, 0, 0, 3, 2, 2, 2, 2, 1, 2, 2, 4, 3, 0, 0, 2, 1, 1, 2, 1, 2, 4, 1, 1, 1, 1, 1, 0, 1, 0, 1, 4, 4, 0, 2, 1, 3, 0, 2, 3, 4, 4, 3, 4, 4, 1, 4, 4, 0, 4, 2, 1, 1, 2, 2, 1, 3, 3, 3, 4, 0, 0, 1, 4, 3, 1, 4, 0, 2, 3, 3, 4, 2, 0, 0, 3, 0, 2, 4, 3, 1, 4, 0, 2, 2, 0, 4, 0, 3, 2, 3, 2, 4, 4, 3, 2, 3, 2, 4, 3, 0, 0, 1, 1, 3, 0, 0, 1, 1, 4, 0, 3, 3, 2, 4, 1, 1, 2, 2, 3, 4, 4, 1, 0, 1, 1, 4, 4, 1, 3, 3, 0, 1, 3, 3, 2, 1, 1, 4, 0, 4, 0, 1, 4, 4, 4, 4, 0, 0, 2, 0, 1, 4, 0, 4, 3, 0, 3, 4, 0, 4, 0, 0, 1, 4, 2, 0, 2, 4, 1, 4, 1, 0, 4, 1, 1, 1, 1, 4, 1, 1, 3, 2, 0, 4, 0, 2, 0, 4, 0, 1, 2, 1, 1, 3, 0, 3, 4, 4, 0, 0, 3, 4, 0, 1, 2, 0, 3, 0, 3, 2, 0, 3, 2, 2, 3, 3, 2, 3, 2, 4, 4, 0, 2, 2, 1, 3, 1, 0, 0, 4, 3, 0, 2, 4, 3, 4, 2, 4, 2, 1, 0, 3, 4, 2, 0, 3, 0, 0, 0, 2, 4, 4, 0, 3, 1, 1, 3, 2, 4, 3, 3, 3, 2, 0, 0, 0, 4, 3, 1, 2, 4, 1, 4, 3, 0, 3, 0, 1, 4, 1, 3, 0, 4, 0, 3, 3, 2, 2, 2, 3, 0, 1, 3, 0, 0, 4, 3, 4, 4, 0, 3, 4, 0, 0, 1, 0, 0, 3, 0, 3, 0, 2, 4, 1, 2, 2]
pubkeycol1176 = [1, 2, 3, 1, 2, 2, 2, 2, 0, 1, 0, 4, 4, 1, 2, 3, 0, 1, 0, 2, 2, 4, 2, 3, 3, 0, 4, 3, 0, 0, 2, 4, 0, 3, 0, 0, 2, 0, 3, 3, 2, 4, 2, 1, 4, 3, 1, 1, 0, 1, 2, 4, 1, 2, 4, 2, 2, 3, 4, 1, 0, 3, 1, 4, 2, 4, 3, 4, 3, 4, 3, 0, 1, 0, 2, 2, 0, 4, 2, 3, 0, 0, 0, 3, 2, 3, 4, 2, 2, 4, 4, 3, 2, 2, 4, 3, 4, 1, 2, 1, 4, 3, 0, 3, 4, 0, 1, 4, 3, 0, 2, 1, 3, 1, 0, 0, 3, 1, 2, 4, 1, 1, 3, 4, 4, 2, 4, 3, 2, 3, 2, 2, 2, 0, 3, 4, 4, 4, 4, 3, 2, 0, 2, 3, 0, 3, 4, 0, 0, 3, 1, 2, 2, 0, 3, 1, 0, 2, 4, 4, 1, 3, 3, 4, 0, 2, 4, 4, 1, 2, 1, 0, 0, 3, 1, 3, 3, 0, 1, 0, 2, 1, 2, 2, 4, 3, 0, 4, 3, 4, 2, 4, 3, 3, 0, 1, 2, 3, 3, 0, 1, 0, 2, 4, 1, 4, 4, 4, 4, 4, 0, 0, 2, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 0, 3, 4, 4, 1, 2, 4, 4, 2, 1, 4, 1, 3, 2, 1, 0, 3, 4, 0, 1, 1, 3, 4, 1, 1, 3, 1, 3, 1, 1, 2, 2, 2, 0, 4, 3, 3, 0, 3, 1, 2, 4, 1, 4, 2, 3, 3, 3, 3, 0, 0, 4, 0, 0, 4, 3, 4, 3, 1, 1, 3, 3, 3, 2, 3, 4, 0, 0, 1, 3, 2, 4, 2, 4, 1, 0, 1, 3, 4, 1, 0, 1, 0, 1, 2, 1, 0, 3, 2, 4, 0, 1, 0, 0, 0, 4, 0]
pubkeycol1177 = [2, 1, 4, 3, 4, 2, 0, 4, 2, 4, 0, 2, 2, 0, 4, 0, 4, 1, 2, 3, 3, 4, 0, 3, 2, 0, 3, 1, 2, 0, 2, 2, 2, 4, 2, 1, 2, 4, 3, 4, 3, 4, 3, 0, 1, 2, 1, 3, 4, 1, 4, 1, 0, 2, 2, 0, 0, 1, 4, 2, 2, 4, 3, 3, 4, 2, 3, 0, 4, 4, 0, 4, 4, 3, 2, 2, 0, 2, 3, 2, 0, 4, 0, 4, 4, 4, 3, 0, 3, 4, 0, 0, 4, 1, 1, 4, 4, 2, 4, 3, 3, 1, 0, 3, 0, 1, 1, 1, 0, 1, 4, 2, 4, 3, 3, 1, 0, 2, 4, 3, 0, 0, 1, 3, 3, 0, 1, 2, 0, 4, 1, 2, 3, 4, 4, 1, 2, 3, 3, 2, 0, 3, 0, 1, 3, 0, 4, 0, 4, 2, 1, 4, 2, 4, 4, 3, 3, 3, 2, 0, 2, 0, 0, 1, 3, 1, 4, 2, 2, 1, 3, 3, 1, 0, 4, 4, 1, 4, 4, 2, 1, 2, 1, 3, 3, 0, 4, 4, 2, 0, 1, 0, 1, 4, 3, 2, 1, 2, 1, 2, 4, 0, 1, 0, 3, 4, 2, 2, 4, 2, 4, 2, 2, 3, 4, 1, 0, 0, 2, 1, 0, 0, 3, 0, 0, 3, 0, 3, 1, 0, 3, 0, 0, 0, 3, 2, 1, 2, 4, 1, 4, 2, 3, 2, 0, 4, 2, 3, 0, 4, 2, 2, 0, 4, 4, 4, 1, 0, 2, 2, 4, 3, 4, 0, 2, 3, 2, 0, 3, 1, 0, 0, 2, 1, 1, 1, 4, 2, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 4, 2, 3, 2, 2, 4, 2, 3, 0, 1, 3, 3, 3, 3, 1, 1, 4, 0, 2, 4, 4, 3, 2, 1, 0, 2, 3, 0, 3, 1, 4, 3]
pubkeycol1178 = [1, 4, 3, 4, 2, 1, 1, 1, 1, 3, 1, 2, 2, 2, 3, 4, 2, 0, 0, 0, 0, 0, 2, 2, 3, 1, 4, 3, 1, 3, 3, 3, 2, 3, 0, 2, 3, 2, 2, 3, 3, 4, 2, 1, 1, 2, 0, 2, 3, 3, 3, 1, 2, 1, 0, 4, 1, 0, 4, 2, 4, 4, 4, 2, 1, 3, 3, 3, 2, 0, 0, 3, 2, 3, 4, 3, 0, 0, 3, 4, 3, 4, 4, 4, 4, 4, 1, 3, 0, 4, 2, 2, 1, 0, 3, 2, 0, 0, 2, 1, 3, 1, 1, 2, 2, 2, 0, 4, 1, 1, 2, 3, 1, 2, 4, 2, 3, 4, 0, 2, 3, 3, 2, 1, 1, 3, 1, 2, 0, 1, 0, 3, 2, 4, 4, 2, 3, 2, 3, 4, 4, 2, 3, 2, 4, 1, 1, 3, 1, 4, 3, 0, 3, 3, 1, 2, 3, 1, 0, 1, 2, 3, 1, 1, 2, 1, 3, 2, 3, 0, 4, 3, 3, 4, 1, 4, 3, 1, 2, 4, 2, 1, 1, 2, 0, 4, 1, 2, 1, 2, 0, 1, 4, 4, 2, 4, 0, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 0, 2, 3, 1, 1, 0, 2, 0, 1, 2, 4, 3, 1, 1, 4, 0, 2, 2, 1, 2, 4, 2, 1, 3, 2, 3, 1, 2, 4, 1, 1, 0, 4, 3, 4, 4, 0, 4, 0, 1, 0, 0, 4, 1, 4, 3, 4, 0, 2, 3, 0, 3, 2, 0, 1, 3, 1, 3, 2, 0, 0, 2, 1, 3, 0, 0, 3, 2, 3, 0, 4, 4, 4, 2, 4, 3, 1, 0, 1, 4, 2, 4, 3, 4, 3, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 4, 2, 4, 3, 1, 3, 4, 3, 3, 3, 4, 0, 4, 3, 2, 0, 1, 1]
pubkeycol1179 = [2, 3, 3, 4, 4, 2, 1, 1, 0, 1, 3, 2, 3, 2, 0, 4, 2, 3, 3, 2, 3, 1, 0, 3, 4, 0, 2, 0, 3, 1, 1, 0, 4, 3, 4, 2, 1, 3, 2, 3, 3, 1, 0, 0, 4, 4, 2, 2, 4, 0, 0, 4, 4, 2, 4, 0, 0, 3, 4, 4, 1, 2, 3, 1, 3, 0, 1, 0, 1, 3, 2, 2, 1, 3, 2, 4, 0, 4, 1, 3, 4, 2, 3, 4, 3, 1, 2, 2, 3, 1, 3, 1, 0, 2, 3, 3, 3, 1, 2, 4, 3, 1, 1, 0, 1, 0, 4, 0, 0, 0, 4, 3, 0, 0, 1, 1, 3, 3, 3, 3, 4, 1, 3, 0, 0, 0, 3, 0, 0, 1, 2, 1, 3, 1, 2, 0, 0, 3, 4, 2, 4, 3, 1, 0, 0, 0, 1, 1, 4, 4, 2, 2, 0, 3, 2, 2, 4, 3, 4, 0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 3, 1, 1, 3, 0, 2, 2, 3, 2, 2, 4, 2, 0, 2, 1, 4, 0, 3, 3, 1, 1, 4, 0, 4, 2, 3, 1, 4, 3, 2, 1, 4, 3, 4, 4, 2, 2, 0, 0, 0, 2, 1, 1, 4, 3, 3, 4, 2, 3, 3, 2, 2, 3, 1, 3, 0, 3, 2, 1, 2, 4, 4, 4, 3, 1, 2, 0, 2, 3, 4, 1, 3, 4, 1, 0, 0, 0, 2, 4, 1, 1, 3, 1, 0, 4, 1, 0, 2, 1, 0, 0, 3, 4, 2, 3, 2, 4, 3, 0, 0, 4, 3, 2, 4, 3, 2, 0, 4, 1, 2, 0, 1, 3, 1, 2, 1, 1, 3, 3, 1, 0, 1, 2, 2, 4, 0, 3, 0, 0, 4, 2, 1, 1, 3, 1, 4, 3, 2, 4, 3, 0, 0, 4, 4, 2, 2, 1, 2, 2, 3, 2]
pubkeycol1180 = [0, 2, 0, 3, 4, 3, 1, 4, 0, 1, 0, 1, 1, 0, 3, 0, 2, 4, 2, 0, 3, 3, 3, 4, 0, 0, 1, 0, 3, 4, 4, 0, 4, 3, 3, 1, 2, 1, 4, 0, 0, 2, 2, 0, 4, 1, 3, 3, 0, 2, 3, 1, 2, 4, 4, 0, 3, 4, 0, 4, 0, 2, 2, 4, 3, 4, 2, 0, 1, 1, 4, 0, 4, 2, 4, 4, 3, 1, 1, 4, 3, 4, 1, 1, 4, 4, 4, 2, 0, 1, 3, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 0, 2, 1, 3, 3, 3, 0, 4, 0, 3, 3, 3, 1, 3, 1, 4, 1, 4, 4, 4, 1, 4, 1, 1, 0, 4, 4, 0, 3, 2, 3, 4, 2, 3, 3, 1, 2, 0, 1, 4, 3, 2, 0, 3, 4, 0, 1, 0, 0, 2, 1, 1, 0, 3, 4, 1, 0, 2, 3, 1, 4, 1, 0, 1, 4, 4, 1, 3, 2, 3, 1, 2, 2, 3, 0, 1, 0, 0, 4, 2, 0, 0, 2, 4, 4, 4, 1, 3, 3, 2, 2, 2, 0, 1, 1, 3, 0, 4, 4, 3, 2, 3, 0, 0, 1, 3, 2, 3, 2, 2, 3, 1, 0, 2, 2, 4, 1, 2, 4, 0, 3, 4, 1, 3, 0, 3, 2, 4, 4, 0, 1, 4, 1, 1, 3, 0, 3, 0, 4, 0, 3, 0, 3, 2, 1, 4, 1, 1, 3, 2, 2, 4, 3, 4, 1, 2, 3, 4, 2, 3, 4, 2, 1, 3, 3, 3, 2, 2, 3, 2, 1, 0, 0, 1, 3, 2, 2, 4, 4, 4, 2, 2, 3, 0, 2, 3, 1, 0, 3, 4, 3, 4, 4, 1, 3, 4, 0, 0, 3, 2, 2, 4, 4, 4, 3, 2, 1, 2, 4, 2, 1, 4, 0, 0, 1, 4, 0, 4, 3]
pubkeycol1181 = [2, 4, 4, 0, 4, 4, 3, 1, 1, 1, 4, 2, 3, 1, 3, 4, 4, 1, 2, 1, 2, 4, 2, 4, 0, 4, 2, 1, 2, 0, 0, 2, 3, 0, 4, 1, 4, 0, 4, 2, 4, 2, 1, 0, 0, 2, 1, 1, 3, 4, 4, 2, 3, 4, 3, 0, 2, 3, 2, 0, 3, 3, 0, 2, 1, 4, 3, 1, 1, 4, 3, 4, 1, 0, 3, 0, 2, 3, 3, 3, 4, 2, 3, 4, 3, 0, 4, 2, 3, 0, 3, 1, 3, 1, 2, 2, 4, 0, 0, 0, 4, 1, 0, 3, 4, 4, 4, 3, 3, 3, 1, 2, 1, 3, 2, 2, 0, 4, 1, 3, 0, 0, 4, 1, 4, 4, 1, 0, 4, 4, 3, 0, 4, 0, 0, 1, 1, 3, 2, 3, 0, 4, 4, 3, 3, 0, 3, 1, 4, 1, 2, 4, 4, 3, 4, 1, 1, 3, 3, 2, 0, 2, 1, 0, 2, 2, 4, 3, 1, 2, 4, 4, 0, 1, 4, 3, 1, 3, 1, 3, 3, 2, 0, 0, 4, 4, 4, 0, 3, 2, 0, 0, 0, 1, 1, 0, 4, 0, 3, 2, 0, 0, 3, 1, 3, 4, 3, 3, 2, 4, 4, 4, 2, 0, 1, 1, 1, 4, 3, 4, 2, 1, 1, 2, 0, 3, 2, 1, 4, 3, 0, 4, 2, 4, 1, 0, 3, 4, 1, 0, 0, 4, 0, 1, 1, 1, 3, 2, 4, 3, 1, 3, 3, 0, 4, 0, 3, 3, 4, 2, 3, 2, 2, 4, 0, 0, 1, 2, 1, 2, 3, 3, 4, 3, 4, 2, 2, 1, 0, 4, 0, 2, 4, 3, 4, 4, 4, 2, 1, 1, 2, 4, 0, 3, 0, 3, 2, 0, 0, 4, 4, 3, 2, 0, 1, 3, 1, 3, 0, 0, 3, 1, 3, 1, 3, 1, 0, 1, 3, 0]
pubkeycol1182 = [1, 3, 3, 2, 0, 4, 2, 0, 0, 0, 2, 3, 2, 2, 3, 1, 4, 1, 1, 1, 4, 0, 3, 1, 4, 3, 0, 0, 2, 1, 1, 3, 3, 3, 1, 2, 0, 2, 2, 1, 4, 1, 2, 1, 1, 4, 2, 3, 2, 3, 1, 3, 1, 4, 3, 2, 4, 4, 4, 1, 2, 4, 3, 4, 1, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 3, 3, 4, 3, 3, 1, 3, 3, 4, 1, 2, 0, 1, 4, 1, 4, 2, 4, 1, 4, 3, 0, 3, 1, 4, 3, 0, 1, 3, 4, 0, 4, 4, 2, 2, 0, 4, 0, 3, 2, 0, 2, 3, 1, 3, 2, 2, 0, 1, 3, 1, 2, 0, 1, 0, 1, 4, 2, 2, 4, 3, 0, 2, 1, 3, 1, 2, 3, 1, 1, 4, 3, 2, 3, 2, 1, 4, 4, 2, 2, 4, 2, 4, 3, 4, 3, 0, 0, 4, 1, 2, 4, 1, 1, 0, 4, 3, 2, 3, 2, 2, 3, 0, 3, 3, 0, 0, 0, 2, 1, 4, 0, 2, 0, 3, 2, 4, 3, 2, 3, 3, 3, 1, 2, 1, 3, 4, 3, 1, 3, 3, 0, 2, 1, 2, 2, 4, 0, 4, 4, 4, 1, 1, 1, 3, 1, 3, 1, 3, 4, 3, 3, 4, 3, 2, 3, 3, 0, 2, 0, 3, 0, 3, 0, 1, 4, 0, 4, 0, 3, 0, 0, 2, 0, 2, 1, 3, 3, 3, 3, 0, 0, 1, 0, 4, 1, 3, 4, 2, 0, 3, 1, 1, 3, 1, 4, 2, 2, 3, 1, 1, 4, 1, 0, 1, 4, 1, 0, 4, 4, 0, 4, 1, 2, 2, 1, 3, 1, 3, 0, 1, 0, 2, 3, 1, 1, 3, 0, 2, 3, 3, 0, 4, 0, 1, 0, 3, 3, 3, 4, 0, 2]
pubkeycol1183 = [4, 4, 0, 1, 0, 0, 0, 2, 0, 0, 4, 0, 4, 3, 3, 0, 0, 1, 4, 1, 0, 2, 3, 2, 1, 4, 3, 0, 3, 0, 3, 4, 4, 0, 4, 4, 1, 2, 1, 2, 0, 2, 2, 2, 1, 4, 2, 1, 2, 0, 3, 1, 4, 3, 3, 2, 2, 0, 3, 3, 3, 0, 4, 0, 1, 2, 2, 4, 0, 3, 0, 1, 2, 3, 4, 0, 4, 2, 0, 2, 1, 3, 2, 3, 2, 0, 0, 0, 4, 4, 3, 4, 3, 4, 0, 3, 2, 3, 0, 4, 1, 3, 3, 3, 0, 0, 2, 2, 2, 3, 1, 4, 3, 1, 3, 4, 3, 1, 0, 4, 0, 2, 2, 3, 4, 0, 4, 0, 0, 2, 4, 2, 3, 2, 4, 4, 0, 4, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 4, 0, 2, 2, 4, 0, 4, 3, 0, 2, 0, 2, 0, 1, 2, 3, 0, 4, 1, 0, 1, 2, 4, 3, 0, 3, 2, 4, 4, 4, 1, 1, 3, 4, 2, 4, 0, 3, 4, 4, 3, 3, 3, 1, 0, 3, 0, 4, 0, 2, 4, 2, 4, 0, 0, 3, 0, 1, 3, 2, 0, 2, 3, 0, 4, 2, 1, 3, 0, 4, 2, 4, 3, 0, 3, 0, 3, 2, 3, 2, 3, 2, 2, 4, 2, 4, 0, 3, 0, 2, 2, 1, 1, 3, 4, 4, 2, 1, 3, 3, 2, 4, 2, 1, 4, 4, 1, 4, 0, 1, 1, 1, 4, 1, 4, 2, 3, 4, 4, 4, 0, 1, 1, 4, 0, 3, 0, 2, 1, 1, 0, 4, 2, 2, 3, 0, 1, 0, 1, 2, 4, 4, 0, 2, 1, 2, 2, 4, 2, 0, 0, 0, 4, 1, 2, 2, 4, 1, 1, 3, 0, 4, 3, 0, 0, 0, 2, 0, 3, 3]
pubkeycol1184 = [2, 4, 3, 1, 4, 2, 4, 4, 1, 4, 0, 1, 0, 2, 4, 0, 2, 1, 0, 3, 0, 1, 4, 3, 1, 1, 0, 1, 3, 1, 0, 3, 0, 0, 4, 3, 0, 3, 3, 3, 0, 4, 2, 1, 1, 4, 4, 3, 1, 1, 4, 1, 0, 3, 0, 0, 4, 1, 4, 2, 1, 2, 3, 0, 1, 2, 3, 3, 4, 4, 3, 3, 2, 4, 1, 4, 1, 0, 1, 4, 1, 4, 4, 2, 0, 4, 0, 4, 2, 3, 2, 0, 2, 3, 1, 3, 4, 4, 2, 0, 4, 2, 3, 2, 4, 1, 0, 3, 3, 4, 0, 4, 4, 4, 0, 2, 3, 1, 1, 3, 2, 0, 0, 0, 1, 2, 3, 3, 0, 0, 3, 1, 1, 2, 1, 2, 4, 2, 1, 3, 0, 2, 0, 0, 1, 2, 0, 3, 0, 3, 0, 4, 1, 1, 4, 1, 3, 2, 3, 0, 3, 4, 0, 4, 3, 1, 4, 1, 2, 4, 3, 1, 3, 2, 3, 2, 2, 1, 0, 3, 0, 2, 2, 3, 0, 3, 4, 3, 4, 1, 4, 2, 4, 0, 0, 1, 2, 4, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 4, 3, 0, 2, 2, 3, 4, 3, 3, 3, 3, 3, 2, 4, 0, 3, 0, 1, 0, 2, 3, 1, 1, 4, 2, 4, 1, 2, 3, 1, 0, 1, 3, 3, 0, 0, 2, 3, 4, 2, 3, 1, 4, 0, 4, 3, 0, 4, 0, 1, 1, 1, 3, 1, 1, 1, 4, 1, 3, 0, 0, 2, 2, 3, 3, 4, 0, 2, 1, 2, 2, 0, 3, 2, 1, 4, 0, 4, 1, 3, 3, 0, 3, 0, 1, 2, 0, 1, 3, 2, 1, 0, 3, 3, 3, 2, 0, 0, 3, 2, 3, 1, 2, 4, 0, 4, 1, 2, 2, 2, 2, 2]
pubkeycol1185 = [3, 2, 1, 1, 1, 1, 3, 2, 2, 1, 4, 3, 1, 1, 2, 0, 0, 0, 4, 1, 3, 4, 2, 4, 3, 4, 4, 3, 1, 3, 4, 2, 0, 3, 3, 1, 1, 2, 1, 0, 2, 1, 2, 3, 3, 1, 0, 4, 4, 2, 1, 2, 3, 2, 4, 1, 1, 4, 2, 3, 0, 4, 1, 3, 4, 2, 0, 4, 0, 3, 0, 4, 3, 0, 0, 3, 1, 2, 1, 4, 3, 4, 4, 4, 2, 2, 3, 2, 4, 1, 0, 0, 2, 1, 1, 4, 3, 3, 2, 1, 2, 4, 4, 4, 3, 3, 4, 3, 3, 1, 0, 2, 1, 1, 4, 2, 3, 3, 3, 0, 0, 3, 0, 3, 1, 2, 3, 0, 1, 4, 2, 1, 0, 0, 2, 4, 0, 1, 2, 2, 2, 4, 4, 1, 1, 4, 2, 4, 0, 0, 4, 0, 3, 1, 4, 0, 2, 4, 3, 3, 4, 2, 0, 3, 0, 2, 2, 2, 1, 3, 2, 4, 3, 3, 2, 0, 3, 4, 1, 3, 3, 1, 4, 3, 4, 0, 4, 1, 0, 1, 4, 1, 3, 1, 2, 0, 0, 2, 4, 3, 3, 2, 1, 1, 4, 4, 4, 0, 3, 4, 4, 4, 4, 2, 2, 4, 3, 2, 3, 2, 0, 1, 0, 4, 4, 2, 2, 1, 1, 2, 0, 2, 1, 4, 4, 4, 3, 1, 2, 4, 4, 1, 2, 3, 1, 1, 3, 4, 3, 1, 4, 3, 3, 1, 2, 3, 0, 2, 1, 2, 3, 3, 3, 4, 0, 1, 2, 4, 3, 0, 0, 0, 4, 3, 1, 3, 2, 0, 4, 0, 4, 1, 1, 4, 0, 4, 1, 3, 0, 4, 4, 4, 4, 0, 4, 1, 3, 2, 2, 3, 2, 1, 2, 4, 3, 2, 4, 4, 1, 0, 2, 2, 2, 0, 4, 4, 1, 4, 1, 1]
pubkeycol1186 = [0, 0, 4, 0, 2, 0, 1, 0, 0, 3, 1, 3, 3, 1, 4, 3, 1, 4, 3, 0, 2, 3, 4, 4, 0, 1, 2, 3, 1, 2, 4, 3, 1, 0, 3, 1, 3, 2, 4, 4, 2, 4, 3, 2, 1, 3, 4, 3, 4, 2, 3, 2, 3, 1, 0, 1, 2, 1, 4, 2, 1, 1, 1, 4, 3, 4, 3, 3, 4, 1, 0, 0, 0, 4, 0, 0, 1, 3, 0, 4, 0, 1, 2, 2, 1, 1, 4, 3, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 3, 4, 3, 3, 0, 3, 3, 0, 4, 1, 0, 3, 1, 1, 3, 1, 1, 1, 3, 3, 2, 0, 3, 0, 1, 0, 2, 0, 4, 2, 2, 4, 0, 2, 2, 3, 2, 0, 3, 3, 4, 3, 1, 0, 0, 1, 1, 3, 4, 4, 3, 0, 2, 0, 0, 3, 2, 2, 4, 4, 2, 3, 0, 1, 3, 0, 2, 1, 1, 0, 0, 4, 2, 2, 1, 0, 3, 4, 4, 4, 4, 3, 0, 3, 1, 2, 4, 4, 4, 3, 3, 1, 0, 1, 3, 3, 3, 2, 0, 1, 3, 0, 4, 2, 3, 4, 0, 1, 3, 3, 1, 1, 1, 0, 1, 2, 3, 3, 4, 4, 1, 2, 1, 4, 2, 1, 3, 2, 2, 4, 3, 2, 4, 4, 3, 1, 4, 4, 3, 3, 0, 4, 1, 1, 2, 1, 0, 4, 3, 1, 3, 2, 4, 2, 3, 1, 0, 3, 2, 2, 2, 0, 0, 4, 0, 4, 1, 3, 0, 4, 0, 4, 4, 1, 3, 4, 0, 3, 4, 2, 4, 2, 0, 3, 1, 4, 1, 1, 4, 4, 2, 4, 4, 2, 4, 0, 2, 1, 3, 3, 2, 2, 3, 2, 3, 4, 1, 4, 0, 4, 2, 2, 2, 4, 3, 0, 0, 0, 4, 2]
pubkeycol1187 = [2, 2, 1, 4, 4, 0, 4, 1, 4, 0, 3, 2, 0, 0, 1, 2, 1, 4, 4, 0, 0, 2, 4, 1, 4, 3, 0, 2, 4, 3, 3, 2, 1, 0, 2, 4, 1, 2, 2, 2, 3, 2, 3, 2, 3, 0, 2, 4, 2, 3, 3, 0, 3, 3, 3, 2, 1, 0, 4, 3, 2, 4, 1, 1, 2, 0, 3, 1, 0, 3, 0, 1, 4, 3, 3, 3, 2, 3, 1, 4, 0, 1, 0, 2, 0, 0, 4, 3, 1, 0, 3, 0, 1, 3, 3, 0, 4, 2, 3, 4, 3, 1, 3, 2, 3, 4, 4, 0, 4, 2, 4, 4, 2, 1, 3, 4, 3, 0, 2, 3, 3, 1, 0, 1, 1, 1, 2, 3, 1, 4, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 3, 0, 1, 2, 1, 3, 3, 0, 4, 4, 0, 2, 0, 1, 1, 0, 4, 1, 0, 0, 2, 0, 4, 1, 0, 3, 1, 0, 2, 4, 1, 0, 0, 4, 1, 2, 4, 2, 3, 0, 0, 4, 1, 0, 0, 4, 2, 2, 0, 0, 0, 3, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 4, 0, 2, 3, 1, 2, 1, 0, 2, 4, 3, 3, 1, 2, 1, 1, 4, 0, 0, 4, 0, 3, 1, 0, 4, 2, 4, 4, 2, 0, 1, 4, 4, 4, 1, 2, 3, 1, 0, 1, 1, 2, 2, 3, 4, 2, 4, 0, 4, 2, 0, 0, 4, 4, 1, 0, 0, 2, 4, 4, 0, 2, 3, 4, 2, 0, 3, 1, 1, 0, 3, 1, 4, 3, 2, 3, 2, 2, 0, 4, 3, 1, 0, 1, 4, 1, 0, 4, 3, 1, 2, 2, 3, 1, 4, 4, 0, 3, 4, 1, 0, 2, 2, 0, 2, 1, 1, 3, 0, 0, 2, 2, 3, 2, 2, 2]
pubkeycol1188 = [0, 2, 0, 2, 0, 0, 1, 3, 3, 0, 0, 0, 3, 0, 3, 1, 2, 4, 3, 1, 4, 4, 3, 4, 4, 3, 0, 2, 3, 0, 0, 1, 1, 0, 1, 1, 0, 3, 2, 1, 1, 4, 4, 0, 4, 3, 2, 3, 3, 4, 3, 1, 3, 4, 4, 4, 2, 4, 3, 3, 4, 0, 4, 0, 2, 3, 3, 2, 0, 4, 0, 3, 3, 0, 0, 2, 2, 2, 4, 3, 1, 3, 0, 1, 4, 2, 4, 2, 3, 1, 1, 3, 3, 1, 2, 1, 4, 2, 3, 3, 4, 2, 0, 2, 0, 3, 1, 3, 0, 1, 1, 3, 3, 3, 2, 0, 3, 2, 0, 0, 1, 1, 2, 1, 0, 3, 3, 4, 1, 2, 0, 2, 3, 3, 4, 1, 1, 0, 1, 0, 3, 1, 0, 0, 1, 1, 2, 4, 4, 1, 4, 3, 3, 0, 2, 3, 4, 4, 3, 3, 4, 0, 0, 1, 3, 4, 1, 4, 3, 2, 0, 1, 4, 1, 2, 2, 0, 3, 4, 0, 2, 3, 2, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 3, 0, 4, 0, 1, 2, 3, 4, 1, 3, 4, 1, 4, 4, 2, 3, 2, 2, 3, 4, 2, 4, 0, 3, 4, 3, 3, 0, 0, 2, 3, 3, 4, 1, 2, 1, 3, 4, 3, 0, 0, 4, 4, 4, 4, 1, 1, 0, 4, 3, 0, 0, 3, 1, 3, 0, 2, 0, 1, 2, 2, 2, 3, 4, 2, 3, 0, 1, 4, 0, 4, 0, 0, 0, 4, 0, 4, 3, 2, 4, 4, 0, 4, 1, 1, 1, 3, 0, 2, 1, 1, 0, 4, 4, 4, 4, 3, 2, 0, 0, 3, 3, 0, 1, 1, 2, 4, 1, 0, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0]
pubkeycol1189 = [3, 0, 0, 4, 2, 2, 2, 0, 3, 3, 3, 0, 3, 2, 0, 0, 2, 0, 2, 2, 2, 4, 1, 0, 0, 3, 2, 0, 4, 4, 3, 1, 1, 1, 1, 4, 1, 2, 3, 0, 1, 1, 3, 2, 2, 0, 0, 0, 1, 2, 0, 4, 1, 4, 3, 4, 3, 3, 0, 0, 2, 4, 1, 2, 1, 4, 4, 2, 4, 2, 2, 3, 3, 1, 0, 0, 1, 2, 0, 4, 2, 4, 2, 2, 0, 3, 1, 4, 0, 3, 3, 0, 4, 4, 2, 0, 1, 0, 2, 4, 4, 3, 3, 3, 1, 2, 3, 3, 4, 3, 3, 1, 4, 4, 1, 1, 1, 1, 3, 0, 2, 1, 4, 1, 4, 3, 1, 1, 2, 1, 4, 4, 4, 0, 0, 1, 0, 3, 4, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 4, 1, 3, 0, 2, 2, 3, 1, 4, 2, 1, 3, 1, 1, 1, 4, 3, 0, 0, 0, 1, 2, 2, 3, 0, 4, 2, 3, 4, 1, 3, 0, 2, 1, 0, 4, 1, 1, 3, 3, 0, 2, 3, 0, 4, 3, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 0, 4, 4, 3, 4, 1, 2, 2, 3, 4, 3, 1, 2, 2, 1, 1, 4, 0, 3, 0, 3, 0, 3, 0, 2, 2, 3, 2, 0, 0, 2, 1, 4, 0, 1, 1, 1, 2, 1, 2, 1, 4, 4, 1, 0, 4, 2, 0, 2, 1, 4, 0, 1, 3, 1, 4, 3, 4, 0, 4, 0, 2, 1, 2, 2, 3, 2, 4, 4, 2, 2, 1, 0, 0, 3, 1, 4, 0, 2, 2, 1, 0, 4, 4, 1, 0, 1, 3, 2, 2, 1, 4, 2, 3, 1, 1, 3, 3, 2, 3, 0, 2, 2, 2, 4, 2, 0, 0, 1, 4, 0, 2, 3, 1]
pubkeycol1190 = [1, 4, 3, 0, 2, 2, 3, 3, 2, 3, 1, 1, 3, 2, 1, 1, 3, 4, 4, 0, 0, 3, 3, 3, 0, 1, 3, 3, 1, 4, 1, 4, 4, 2, 0, 4, 0, 3, 0, 3, 3, 1, 1, 3, 0, 0, 0, 2, 0, 2, 2, 3, 4, 1, 4, 1, 2, 4, 1, 4, 2, 0, 0, 4, 4, 0, 0, 4, 1, 4, 4, 3, 1, 1, 1, 1, 0, 0, 4, 3, 2, 0, 1, 1, 4, 1, 2, 0, 4, 3, 0, 4, 0, 4, 0, 0, 2, 1, 1, 0, 2, 3, 0, 2, 4, 0, 4, 4, 1, 2, 4, 1, 4, 1, 2, 0, 3, 3, 4, 1, 2, 0, 1, 4, 3, 4, 0, 3, 1, 4, 0, 0, 4, 1, 3, 0, 0, 3, 0, 4, 1, 2, 1, 3, 3, 1, 0, 1, 3, 1, 0, 4, 3, 3, 2, 3, 1, 1, 4, 1, 2, 2, 2, 1, 3, 1, 2, 2, 1, 0, 4, 4, 2, 1, 3, 2, 2, 3, 1, 3, 0, 4, 3, 1, 2, 4, 0, 1, 0, 2, 1, 2, 4, 0, 1, 3, 4, 0, 4, 4, 3, 3, 4, 0, 1, 1, 3, 1, 2, 2, 0, 1, 3, 2, 3, 4, 3, 3, 1, 2, 0, 4, 0, 4, 2, 0, 1, 4, 4, 0, 4, 1, 2, 0, 4, 0, 4, 0, 3, 3, 2, 4, 2, 3, 3, 4, 3, 2, 0, 0, 0, 4, 0, 4, 1, 4, 0, 4, 0, 3, 1, 3, 2, 3, 1, 2, 1, 0, 1, 1, 4, 3, 4, 1, 2, 0, 1, 1, 4, 4, 3, 1, 3, 4, 0, 1, 3, 3, 4, 1, 1, 4, 1, 1, 4, 2, 4, 1, 4, 4, 1, 0, 0, 3, 2, 1, 2, 3, 4, 4, 3, 2, 1, 4, 4, 4, 2, 4, 3, 2]
pubkeycol1191 = [3, 4, 2, 3, 1, 1, 3, 0, 1, 4, 4, 4, 1, 1, 0, 1, 4, 2, 1, 0, 2, 1, 3, 2, 2, 1, 2, 2, 4, 4, 1, 3, 0, 0, 3, 2, 4, 1, 3, 2, 3, 0, 1, 0, 2, 4, 0, 2, 4, 1, 3, 2, 3, 0, 4, 4, 0, 4, 3, 3, 3, 4, 1, 2, 0, 0, 1, 4, 1, 1, 1, 4, 1, 1, 2, 2, 1, 3, 0, 3, 0, 1, 2, 3, 3, 2, 0, 3, 2, 2, 1, 2, 4, 1, 0, 2, 2, 0, 2, 1, 3, 2, 2, 4, 1, 2, 1, 0, 3, 0, 4, 4, 2, 3, 4, 4, 4, 3, 3, 2, 4, 3, 0, 3, 3, 1, 0, 3, 0, 2, 2, 0, 4, 2, 3, 2, 3, 1, 0, 4, 3, 3, 2, 4, 3, 4, 3, 4, 1, 1, 0, 0, 3, 3, 2, 4, 4, 1, 3, 1, 1, 1, 2, 0, 1, 3, 0, 1, 1, 4, 2, 4, 0, 1, 0, 1, 0, 4, 1, 0, 2, 0, 2, 2, 3, 0, 1, 1, 4, 3, 1, 3, 2, 4, 2, 0, 0, 4, 3, 2, 0, 4, 2, 4, 4, 0, 3, 0, 0, 4, 3, 4, 1, 1, 1, 1, 1, 3, 3, 3, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 3, 4, 4, 4, 3, 0, 0, 0, 0, 4, 1, 0, 1, 1, 1, 1, 2, 3, 1, 3, 2, 0, 3, 4, 3, 3, 1, 0, 1, 0, 4, 1, 4, 2, 4, 2, 1, 0, 1, 3, 4, 0, 4, 0, 3, 4, 4, 3, 2, 2, 3, 1, 0, 1, 0, 3, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 2, 1, 3, 2, 3, 4, 3, 2, 4, 1, 3, 1, 1, 1, 3, 3, 0, 1, 2, 1, 2, 4, 1, 3]
pubkeycol1192 = [2, 3, 0, 3, 0, 4, 4, 2, 1, 2, 3, 3, 4, 4, 0, 4, 2, 3, 2, 4, 2, 1, 4, 1, 1, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 4, 2, 4, 1, 0, 0, 4, 0, 0, 4, 3, 1, 2, 4, 4, 0, 2, 3, 2, 3, 3, 0, 3, 4, 3, 4, 1, 4, 0, 4, 0, 3, 0, 2, 2, 0, 2, 2, 1, 0, 3, 1, 1, 4, 4, 4, 1, 1, 1, 2, 4, 3, 3, 3, 3, 1, 0, 3, 4, 0, 0, 2, 0, 3, 4, 2, 3, 1, 0, 4, 3, 0, 0, 0, 4, 0, 0, 1, 1, 3, 3, 0, 2, 3, 2, 0, 3, 2, 1, 4, 2, 0, 0, 3, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 3, 1, 4, 3, 3, 1, 2, 0, 1, 2, 3, 1, 0, 2, 1, 4, 3, 3, 1, 4, 2, 0, 1, 4, 4, 2, 4, 1, 0, 3, 3, 2, 1, 1, 0, 4, 4, 2, 3, 1, 2, 3, 3, 1, 3, 4, 0, 2, 4, 2, 4, 1, 1, 4, 3, 4, 4, 0, 2, 3, 1, 3, 4, 1, 0, 0, 1, 1, 0, 2, 3, 2, 4, 1, 3, 2, 0, 0, 4, 2, 0, 2, 2, 1, 4, 1, 3, 1, 0, 3, 2, 1, 4, 4, 1, 2, 3, 4, 0, 4, 4, 0, 3, 1, 0, 2, 4, 1, 4, 0, 2, 0, 1, 3, 1, 4, 2, 0, 1, 1, 3, 3, 1, 1, 0, 4, 4, 0, 2, 0, 4, 0, 1, 1, 1, 2, 2, 3, 4, 4, 4, 1, 4, 3, 1, 4, 3, 1, 3, 3, 3, 1, 4, 2, 2, 4, 4, 0, 4, 1, 2, 0, 3, 3, 2, 3, 2, 1, 4, 2, 4, 1, 2, 3, 1, 2, 1, 1, 2, 3]
pubkeycol1193 = [2, 3, 2, 1, 1, 0, 1, 4, 2, 2, 3, 0, 4, 1, 1, 1, 2, 2, 0, 4, 2, 4, 2, 3, 2, 3, 1, 4, 0, 0, 0, 1, 4, 4, 2, 2, 4, 3, 1, 4, 4, 2, 3, 4, 2, 4, 3, 0, 4, 1, 2, 2, 3, 1, 2, 0, 3, 2, 0, 4, 4, 0, 4, 3, 0, 1, 4, 3, 4, 1, 0, 3, 2, 0, 2, 2, 2, 4, 1, 2, 4, 1, 4, 3, 2, 1, 0, 2, 1, 4, 0, 0, 4, 4, 1, 1, 2, 4, 4, 0, 2, 1, 2, 1, 3, 0, 4, 1, 4, 1, 0, 4, 0, 3, 1, 2, 3, 2, 2, 0, 3, 2, 2, 4, 1, 2, 2, 2, 0, 2, 2, 3, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 4, 1, 2, 2, 2, 0, 3, 4, 2, 2, 2, 2, 4, 4, 1, 2, 1, 3, 3, 1, 0, 0, 0, 1, 4, 1, 0, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 3, 4, 1, 3, 2, 3, 4, 0, 0, 2, 4, 1, 2, 2, 3, 3, 2, 1, 0, 1, 3, 0, 0, 3, 4, 2, 4, 1, 2, 0, 4, 3, 0, 4, 1, 3, 1, 0, 3, 2, 2, 1, 4, 2, 3, 2, 1, 3, 0, 2, 0, 3, 3, 4, 1, 1, 0, 0, 0, 0, 0, 1, 4, 1, 2, 2, 2, 3, 4, 1, 2, 2, 4, 1, 3, 0, 3, 3, 4, 0, 4, 4, 3, 2, 3, 2, 2, 0, 1, 1, 1, 3, 2, 0, 4, 4, 0, 1, 1, 3, 4, 3, 3, 0, 2, 1, 4, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 4, 0, 4, 2, 1, 1, 3, 3, 1, 2, 2, 0, 3, 1, 0, 2, 2, 0, 0, 2, 2]
pubkeycol1194 = [3, 1, 3, 3, 1, 0, 4, 0, 3, 2, 2, 1, 4, 1, 3, 2, 0, 0, 1, 1, 4, 2, 3, 1, 3, 3, 1, 0, 3, 1, 2, 3, 4, 0, 0, 2, 0, 0, 2, 0, 1, 4, 3, 2, 0, 3, 4, 3, 4, 2, 1, 1, 3, 3, 0, 4, 1, 4, 4, 1, 1, 1, 3, 4, 4, 3, 2, 4, 0, 4, 4, 3, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 4, 0, 2, 3, 0, 1, 1, 0, 3, 1, 0, 1, 1, 0, 2, 1, 1, 1, 4, 1, 1, 0, 1, 2, 0, 0, 3, 4, 4, 3, 1, 4, 1, 2, 4, 0, 4, 4, 4, 2, 1, 0, 0, 0, 4, 1, 3, 1, 0, 2, 4, 3, 0, 4, 3, 2, 2, 3, 0, 2, 1, 2, 3, 2, 0, 0, 1, 0, 3, 0, 1, 3, 0, 2, 0, 2, 0, 2, 2, 1, 0, 4, 4, 3, 2, 3, 4, 2, 2, 3, 2, 0, 1, 4, 3, 2, 4, 4, 4, 3, 2, 4, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 4, 0, 4, 3, 0, 3, 3, 1, 2, 0, 3, 0, 3, 4, 1, 1, 2, 0, 3, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 3, 4, 3, 1, 3, 3, 2, 0, 0, 1, 1, 3, 0, 4, 4, 4, 2, 4, 1, 2, 2, 3, 4, 3, 1, 3, 3, 2, 1, 1, 4, 2, 1, 4, 1, 0, 4, 2, 4, 3, 0, 0, 2, 3, 0, 1, 3, 4, 3, 4, 1, 0, 4, 3, 1, 2, 2, 1, 1, 0, 2, 4, 2, 1, 4, 4, 4, 2, 4, 2, 4, 0, 2, 1, 3, 4, 0, 3, 3, 2, 1, 4, 2, 1, 3, 0, 4, 1, 0, 4, 4, 1, 3, 1, 2]
pubkeycol1195 = [3, 4, 2, 2, 4, 4, 1, 0, 1, 0, 4, 2, 3, 1, 1, 3, 3, 0, 1, 4, 1, 3, 1, 4, 3, 3, 2, 4, 2, 4, 4, 4, 4, 4, 4, 1, 3, 4, 3, 1, 0, 0, 1, 4, 4, 2, 0, 0, 2, 1, 3, 1, 2, 3, 4, 2, 2, 1, 4, 0, 4, 3, 3, 2, 4, 0, 4, 1, 4, 0, 3, 4, 2, 3, 1, 0, 4, 1, 0, 1, 0, 1, 3, 0, 4, 4, 2, 1, 0, 2, 4, 2, 0, 3, 4, 3, 2, 4, 4, 0, 4, 2, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 0, 1, 4, 1, 2, 0, 2, 0, 1, 1, 1, 4, 2, 1, 3, 1, 2, 2, 0, 1, 3, 2, 3, 3, 0, 0, 3, 1, 1, 0, 3, 0, 1, 1, 0, 3, 2, 0, 0, 2, 1, 3, 1, 3, 2, 3, 0, 4, 0, 2, 2, 4, 1, 3, 0, 4, 3, 2, 3, 0, 2, 0, 4, 0, 0, 1, 4, 4, 2, 2, 2, 4, 3, 4, 4, 3, 4, 0, 4, 4, 3, 4, 0, 3, 3, 1, 0, 3, 0, 1, 4, 0, 1, 0, 2, 2, 2, 0, 1, 3, 4, 2, 1, 3, 2, 0, 3, 0, 1, 3, 4, 0, 2, 4, 1, 3, 3, 2, 4, 0, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 4, 3, 2, 4, 1, 3, 4, 4, 4, 3, 0, 1, 2, 0, 3, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 4, 2, 3, 3, 0, 2, 2, 2, 1, 0, 0, 0, 3, 1, 2, 2, 1, 2, 3, 4, 1, 3, 2, 1, 1, 0, 2, 4, 1, 1, 1, 3, 0, 2, 2, 4, 0, 0, 3, 2, 4, 4, 1, 1, 2, 1]
pubkeycol1196 = [0, 1, 1, 0, 4, 3, 2, 3, 4, 3, 4, 4, 2, 1, 1, 0, 4, 4, 4, 3, 1, 4, 3, 0, 3, 1, 4, 3, 0, 0, 4, 4, 0, 4, 3, 2, 3, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 4, 3, 0, 2, 0, 4, 1, 2, 4, 2, 4, 0, 3, 0, 1, 0, 2, 4, 3, 0, 2, 0, 3, 1, 0, 2, 3, 4, 2, 3, 1, 1, 3, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 3, 4, 2, 4, 1, 4, 1, 4, 2, 4, 1, 2, 4, 3, 2, 4, 0, 1, 2, 1, 1, 0, 3, 4, 0, 2, 0, 0, 0, 3, 1, 2, 4, 4, 0, 1, 3, 0, 0, 4, 1, 3, 3, 3, 0, 0, 1, 2, 4, 4, 0, 0, 2, 0, 3, 3, 4, 0, 2, 0, 0, 0, 4, 1, 0, 3, 2, 2, 0, 1, 3, 4, 1, 1, 2, 2, 0, 4, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 3, 1, 1, 2, 1, 3, 2, 1, 3, 2, 3, 3, 2, 4, 4, 0, 4, 2, 2, 2, 4, 0, 0, 4, 2, 3, 3, 4, 0, 2, 0, 3, 4, 1, 0, 0, 2, 1, 2, 4, 1, 2, 2, 3, 2, 4, 1, 0, 3, 3, 0, 1, 4, 3, 4, 3, 1, 1, 2, 4, 1, 1, 2, 3, 4, 3, 0, 4, 1, 0, 4, 1, 0, 2, 4, 0, 1, 0, 4, 3, 1, 4, 1, 1, 0, 1, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 2, 4, 1, 3, 2, 4, 4, 0, 2, 0, 3, 3, 3, 4, 2, 2, 3, 0, 2, 2, 2, 4, 1, 1, 4, 1, 2, 3, 3, 1, 4, 1, 4, 4, 1, 3, 3, 2, 3, 1, 4, 4, 1, 2, 1]
pubkeycol1197 = [4, 3, 4, 1, 1, 4, 1, 1, 3, 4, 3, 2, 0, 2, 2, 4, 0, 4, 4, 3, 1, 1, 1, 4, 0, 0, 4, 3, 0, 0, 0, 1, 2, 0, 2, 2, 3, 2, 4, 3, 2, 2, 1, 1, 2, 1, 3, 3, 3, 4, 1, 4, 4, 1, 2, 2, 3, 3, 2, 4, 4, 4, 0, 1, 0, 0, 4, 0, 3, 4, 4, 1, 1, 2, 3, 4, 4, 4, 3, 2, 3, 3, 4, 2, 3, 2, 2, 0, 2, 0, 3, 4, 2, 0, 4, 0, 2, 2, 3, 3, 4, 0, 3, 2, 3, 1, 1, 2, 3, 0, 3, 1, 3, 4, 0, 4, 2, 0, 3, 1, 4, 2, 1, 1, 4, 0, 0, 1, 0, 1, 3, 1, 1, 4, 0, 3, 1, 2, 2, 0, 2, 3, 0, 0, 2, 0, 1, 0, 2, 0, 3, 2, 3, 0, 0, 4, 3, 1, 4, 2, 2, 4, 0, 1, 4, 3, 2, 3, 4, 0, 3, 3, 2, 1, 2, 3, 4, 2, 0, 4, 1, 2, 3, 1, 0, 1, 4, 3, 1, 2, 3, 3, 3, 3, 4, 3, 4, 3, 0, 0, 4, 2, 1, 3, 2, 0, 3, 2, 3, 0, 0, 4, 2, 3, 1, 1, 1, 4, 1, 0, 4, 0, 1, 2, 1, 1, 3, 3, 2, 2, 1, 3, 1, 2, 0, 2, 4, 1, 0, 1, 0, 3, 4, 0, 3, 4, 1, 3, 1, 4, 2, 3, 0, 3, 1, 1, 1, 3, 3, 3, 2, 0, 0, 4, 2, 2, 0, 0, 4, 1, 1, 0, 1, 0, 4, 2, 2, 3, 1, 1, 0, 0, 4, 2, 2, 3, 2, 3, 4, 3, 2, 4, 2, 0, 2, 0, 0, 3, 3, 0, 0, 1, 3, 3, 2, 3, 0, 1, 1, 1, 3, 4, 3, 2, 0, 0, 4, 4, 3, 0]
pubkeycol1198 = [0, 0, 4, 3, 0, 0, 3, 2, 1, 4, 2, 2, 0, 2, 2, 1, 2, 3, 1, 1, 3, 4, 2, 1, 1, 3, 4, 4, 4, 0, 1, 4, 0, 4, 3, 2, 0, 0, 1, 0, 2, 4, 3, 2, 4, 2, 4, 4, 0, 3, 0, 0, 0, 1, 1, 3, 3, 0, 3, 2, 1, 2, 1, 2, 1, 3, 4, 3, 3, 0, 4, 3, 0, 3, 4, 2, 0, 3, 3, 3, 4, 1, 3, 1, 2, 2, 3, 1, 2, 0, 1, 4, 3, 3, 3, 3, 4, 0, 3, 3, 4, 2, 2, 3, 4, 1, 1, 0, 3, 3, 3, 0, 0, 4, 1, 4, 1, 4, 4, 2, 3, 4, 1, 3, 1, 4, 3, 2, 4, 3, 2, 1, 1, 4, 4, 3, 0, 3, 2, 2, 3, 4, 1, 4, 4, 2, 0, 3, 3, 1, 1, 3, 3, 1, 2, 1, 3, 4, 4, 0, 0, 4, 1, 3, 3, 3, 1, 1, 2, 4, 0, 2, 2, 4, 4, 2, 3, 3, 3, 2, 0, 1, 3, 3, 1, 2, 2, 4, 1, 3, 1, 2, 4, 1, 3, 0, 1, 0, 4, 1, 2, 2, 0, 2, 3, 4, 3, 0, 3, 4, 4, 4, 0, 0, 1, 1, 0, 2, 4, 4, 4, 0, 1, 0, 4, 2, 4, 4, 0, 0, 2, 0, 0, 3, 4, 4, 0, 1, 4, 0, 1, 1, 1, 1, 0, 1, 0, 3, 0, 3, 0, 1, 3, 0, 3, 4, 3, 2, 2, 1, 0, 2, 2, 4, 0, 4, 0, 0, 1, 0, 3, 3, 2, 2, 4, 1, 0, 0, 2, 2, 1, 0, 3, 0, 1, 3, 4, 1, 3, 4, 2, 1, 1, 0, 3, 3, 3, 1, 4, 3, 0, 1, 4, 3, 1, 4, 3, 1, 0, 4, 2, 4, 4, 4, 0, 2, 4, 3, 3, 2]
pubkeycol1199 = [2, 0, 2, 0, 4, 0, 3, 2, 3, 0, 0, 0, 0, 0, 4, 0, 2, 4, 0, 0, 4, 4, 3, 3, 3, 2, 4, 0, 2, 3, 0, 0, 1, 2, 4, 3, 4, 2, 0, 4, 3, 2, 3, 0, 2, 3, 2, 4, 3, 1, 2, 3, 3, 2, 4, 4, 0, 0, 3, 1, 1, 3, 1, 4, 0, 3, 4, 1, 2, 3, 1, 1, 0, 2, 2, 1, 1, 4, 2, 4, 0, 1, 0, 2, 0, 1, 3, 0, 4, 3, 4, 0, 1, 1, 1, 4, 2, 1, 0, 2, 1, 2, 0, 4, 3, 0, 4, 4, 1, 4, 4, 0, 4, 3, 1, 0, 1, 3, 3, 4, 0, 0, 3, 4, 0, 3, 1, 1, 1, 4, 1, 1, 1, 0, 3, 3, 1, 1, 3, 1, 0, 0, 4, 1, 2, 2, 1, 1, 0, 1, 3, 1, 4, 1, 4, 2, 4, 4, 4, 1, 4, 3, 0, 0, 2, 4, 1, 4, 1, 0, 2, 1, 4, 2, 2, 4, 0, 4, 0, 3, 2, 0, 3, 0, 0, 0, 3, 0, 3, 2, 4, 4, 1, 2, 0, 4, 0, 4, 4, 4, 1, 1, 1, 0, 4, 3, 0, 1, 3, 0, 4, 3, 4, 2, 2, 1, 4, 0, 0, 4, 4, 4, 1, 4, 3, 2, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 4, 3, 0, 3, 0, 1, 2, 0, 3, 4, 0, 1, 3, 2, 0, 0, 2, 2, 4, 2, 2, 1, 2, 0, 2, 4, 1, 1, 0, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 1, 3, 0, 0, 2, 0, 0, 3, 0, 1, 1, 4, 4, 3, 4, 3, 2, 0, 0, 2, 3, 3, 0, 4, 0, 3, 3, 1, 0, 0, 2, 4, 4, 0, 1, 3, 0, 4, 4, 1, 2, 1, 4, 4]
pubkeycol1200 = [1, 1, 1, 0, 2, 4, 0, 3, 1, 1, 3, 1, 3, 0, 0, 2, 0, 0, 4, 0, 3, 0, 4, 0, 4, 0, 1, 1, 0, 4, 4, 2, 3, 0, 0, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 1, 3, 1, 1, 3, 4, 4, 4, 1, 3, 3, 2, 2, 1, 2, 3, 0, 4, 4, 0, 2, 0, 0, 1, 2, 3, 1, 0, 4, 1, 3, 4, 4, 2, 2, 0, 4, 0, 1, 1, 1, 1, 1, 0, 2, 3, 3, 4, 4, 0, 0, 2, 1, 0, 2, 1, 1, 4, 0, 1, 1, 2, 4, 1, 4, 0, 4, 3, 0, 1, 1, 4, 1, 2, 4, 2, 1, 2, 0, 2, 3, 3, 4, 3, 3, 3, 3, 1, 0, 0, 2, 2, 2, 1, 4, 4, 2, 4, 4, 3, 3, 4, 0, 1, 1, 1, 4, 3, 3, 1, 4, 4, 0, 3, 0, 3, 3, 0, 2, 4, 1, 2, 0, 2, 3, 2, 0, 3, 1, 1, 2, 0, 3, 1, 0, 1, 1, 4, 1, 2, 0, 3, 3, 4, 1, 3, 3, 2, 3, 4, 2, 4, 2, 0, 3, 4, 0, 1, 0, 2, 2, 3, 4, 1, 1, 3, 1, 2, 4, 4, 4, 2, 4, 4, 0, 1, 1, 3, 0, 3, 2, 2, 4, 3, 3, 1, 2, 0, 0, 3, 4, 4, 3, 0, 1, 3, 2, 2, 0, 2, 2, 3, 4, 2, 2, 4, 1, 1, 0, 1, 3, 3, 3, 3, 2, 3, 2, 2, 1, 1, 2, 2, 4, 4, 4, 3, 0, 4, 0, 4, 1, 3, 0, 0, 0, 1, 3, 2, 2, 3, 0, 3, 4, 0, 2, 0, 2, 2, 2, 3, 3, 2, 3, 0, 3, 4, 0, 2, 2, 1, 1, 3, 1, 2, 0, 1, 3, 4, 4, 0, 1, 2, 4, 3, 4]
pubkeycol1201 = [1, 3, 4, 0, 1, 3, 3, 3, 4, 0, 4, 2, 1, 4, 4, 0, 1, 1, 0, 2, 2, 2, 0, 4, 4, 3, 0, 3, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3, 1, 4, 2, 3, 0, 3, 2, 0, 1, 0, 0, 1, 1, 3, 4, 1, 2, 1, 4, 0, 4, 1, 3, 1, 2, 3, 3, 3, 0, 3, 1, 3, 2, 0, 4, 2, 4, 4, 2, 0, 1, 0, 3, 2, 3, 3, 2, 4, 0, 2, 1, 0, 2, 0, 0, 2, 4, 1, 3, 4, 1, 0, 3, 3, 1, 1, 0, 3, 4, 0, 1, 0, 3, 0, 3, 2, 3, 3, 1, 0, 4, 3, 2, 1, 3, 4, 3, 2, 0, 1, 2, 1, 3, 1, 1, 4, 2, 0, 4, 1, 4, 0, 3, 3, 2, 4, 0, 1, 4, 2, 3, 2, 3, 1, 2, 1, 4, 0, 4, 3, 1, 1, 1, 1, 0, 3, 3, 2, 1, 3, 4, 2, 4, 4, 3, 1, 4, 3, 0, 0, 0, 1, 4, 4, 4, 4, 4, 0, 2, 2, 4, 1, 3, 0, 1, 3, 1, 1, 0, 1, 0, 0, 1, 0, 3, 2, 1, 4, 2, 0, 0, 3, 2, 1, 4, 3, 2, 2, 0, 1, 4, 0, 0, 2, 1, 4, 3, 0, 1, 1, 1, 0, 3, 2, 4, 3, 2, 3, 1, 3, 0, 0, 4, 2, 0, 2, 4, 3, 4, 4, 3, 1, 0, 3, 2, 2, 1, 0, 2, 0, 4, 0, 2, 4, 0, 2, 4, 0, 3, 2, 1, 2, 3, 4, 0, 3, 4, 0, 0, 2, 0, 0, 1, 4, 3, 1, 1, 2, 2, 2, 0, 3, 3, 2, 3, 3, 3, 4, 0, 3, 3, 4, 0, 2, 4, 3, 4, 2, 0, 1, 2, 4, 4, 1, 4, 3, 2, 2, 3, 0, 4, 0]
pubkeycol1202 = [0, 4, 1, 3, 1, 1, 0, 1, 3, 2, 3, 0, 3, 2, 3, 1, 3, 4, 0, 3, 2, 2, 0, 0, 3, 3, 1, 1, 2, 4, 2, 1, 0, 3, 1, 0, 3, 3, 2, 4, 2, 2, 4, 3, 1, 0, 4, 3, 3, 0, 0, 1, 3, 4, 4, 2, 2, 1, 0, 2, 4, 4, 4, 3, 3, 1, 0, 2, 0, 3, 1, 4, 1, 2, 1, 2, 1, 0, 1, 0, 4, 1, 0, 3, 2, 4, 3, 3, 2, 2, 2, 4, 3, 4, 4, 3, 0, 1, 2, 3, 2, 0, 1, 2, 3, 0, 3, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 3, 0, 2, 0, 4, 0, 3, 1, 0, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 0, 4, 0, 0, 0, 1, 1, 4, 3, 1, 3, 3, 4, 1, 3, 3, 2, 3, 0, 1, 1, 2, 4, 0, 2, 3, 0, 0, 2, 4, 3, 0, 0, 1, 4, 4, 2, 3, 1, 3, 0, 1, 3, 0, 4, 0, 4, 1, 0, 1, 2, 2, 1, 3, 2, 4, 0, 0, 0, 0, 0, 3, 0, 4, 4, 0, 4, 2, 4, 3, 2, 4, 4, 2, 3, 1, 0, 3, 4, 4, 2, 2, 0, 3, 2, 4, 4, 0, 4, 0, 0, 2, 1, 0, 0, 1, 2, 1, 3, 3, 4, 1, 4, 3, 2, 3, 0, 1, 3, 3, 1, 0, 3, 1, 2, 3, 0, 3, 3, 2, 3, 0, 3, 3, 1, 3, 3, 0, 4, 2, 3, 4, 2, 0, 4, 4, 2, 0, 3, 4, 0, 1, 1, 2, 3, 2, 0, 3, 1, 1, 4, 0, 0, 2, 0, 4, 4, 1, 4, 1, 1, 1, 1, 1, 3, 0, 0, 4, 3, 1, 0, 1, 3, 4, 0, 3, 4, 2, 2, 4, 1, 4, 3]
pubkeycol1203 = [1, 0, 1, 3, 2, 3, 1, 3, 4, 4, 4, 1, 2, 4, 0, 4, 3, 1, 3, 0, 0, 3, 1, 2, 2, 1, 2, 2, 1, 4, 2, 3, 4, 4, 1, 4, 0, 2, 4, 3, 2, 4, 3, 0, 3, 1, 0, 3, 2, 0, 0, 0, 4, 0, 2, 4, 2, 2, 2, 0, 1, 4, 4, 4, 3, 3, 1, 3, 1, 0, 1, 3, 0, 2, 3, 3, 1, 2, 0, 0, 3, 1, 3, 2, 0, 0, 3, 4, 3, 0, 0, 4, 1, 2, 3, 0, 0, 1, 4, 3, 3, 3, 1, 3, 0, 1, 2, 2, 4, 1, 1, 0, 0, 1, 4, 0, 0, 1, 3, 1, 0, 4, 3, 2, 4, 4, 1, 2, 1, 0, 4, 1, 3, 4, 1, 3, 2, 1, 2, 3, 3, 4, 1, 2, 0, 2, 4, 4, 3, 0, 3, 3, 1, 3, 3, 1, 2, 2, 4, 3, 1, 1, 1, 0, 2, 4, 4, 1, 4, 1, 1, 1, 2, 4, 2, 0, 4, 2, 3, 1, 0, 3, 4, 1, 1, 0, 0, 2, 0, 4, 3, 2, 3, 4, 4, 1, 3, 2, 0, 3, 1, 0, 3, 3, 3, 1, 3, 3, 4, 4, 4, 2, 2, 2, 4, 4, 4, 1, 3, 0, 4, 3, 1, 0, 2, 4, 4, 3, 3, 1, 2, 0, 2, 3, 0, 2, 0, 0, 2, 2, 2, 2, 4, 0, 3, 3, 3, 3, 0, 4, 3, 2, 1, 0, 2, 3, 4, 2, 4, 2, 4, 4, 0, 2, 3, 1, 3, 4, 4, 2, 1, 1, 0, 3, 0, 4, 2, 2, 3, 1, 1, 2, 1, 4, 1, 3, 4, 3, 2, 0, 0, 0, 0, 3, 0, 1, 3, 0, 2, 0, 0, 4, 0, 0, 4, 2, 0, 2, 4, 3, 4, 2, 1, 1, 4, 4, 1, 1, 2, 2]
pubkeycol1204 = [1, 3, 0, 1, 0, 1, 2, 0, 3, 3, 0, 3, 1, 4, 0, 4, 1, 3, 2, 0, 1, 4, 3, 0, 2, 3, 2, 0, 4, 0, 3, 2, 0, 0, 4, 0, 1, 4, 3, 4, 4, 1, 1, 0, 3, 2, 0, 3, 0, 1, 0, 0, 2, 4, 4, 4, 3, 3, 0, 2, 3, 4, 0, 4, 1, 0, 4, 1, 2, 3, 2, 3, 2, 0, 2, 4, 2, 0, 2, 2, 3, 4, 2, 0, 1, 2, 4, 1, 2, 0, 3, 2, 3, 1, 3, 1, 0, 4, 4, 0, 4, 1, 4, 4, 1, 2, 1, 1, 2, 2, 3, 1, 3, 4, 3, 4, 3, 1, 0, 1, 0, 1, 2, 4, 3, 2, 2, 2, 4, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 3, 2, 1, 0, 4, 1, 4, 3, 1, 2, 0, 2, 4, 0, 0, 2, 2, 0, 4, 3, 2, 0, 2, 0, 0, 2, 3, 0, 1, 4, 3, 1, 4, 3, 1, 3, 2, 1, 4, 2, 2, 2, 3, 2, 3, 4, 1, 0, 3, 2, 3, 2, 1, 1, 1, 4, 2, 0, 1, 0, 4, 3, 3, 4, 1, 2, 1, 1, 1, 4, 3, 4, 0, 2, 2, 2, 0, 1, 3, 1, 0, 3, 2, 2, 2, 4, 2, 4, 2, 0, 3, 0, 3, 4, 4, 4, 3, 2, 3, 1, 2, 3, 4, 0, 1, 3, 2, 4, 2, 4, 4, 2, 0, 1, 0, 0, 2, 4, 2, 2, 3, 4, 1, 0, 2, 3, 0, 3, 1, 0, 1, 4, 1, 0, 2, 0, 3, 3, 0, 3, 2, 4, 2, 4, 1, 1, 1, 2, 0, 0, 3, 2, 1, 3, 3, 3, 0, 3, 2, 1, 0, 4, 1, 3, 3, 1, 4, 2, 4, 0, 3, 4, 1, 0, 3, 3, 0, 3, 1, 0, 4]
pubkeycol1205 = [0, 3, 3, 3, 3, 0, 3, 2, 4, 2, 2, 2, 2, 4, 2, 4, 2, 0, 2, 0, 0, 1, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 4, 0, 3, 1, 1, 2, 2, 1, 1, 3, 0, 4, 3, 2, 1, 4, 1, 2, 3, 0, 4, 1, 0, 3, 0, 0, 2, 2, 1, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 0, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 4, 0, 3, 0, 2, 2, 0, 3, 4, 3, 1, 1, 4, 1, 4, 3, 1, 4, 4, 1, 0, 0, 3, 2, 0, 3, 4, 1, 0, 1, 3, 4, 4, 1, 3, 2, 0, 3, 2, 1, 1, 1, 1, 3, 1, 3, 0, 2, 4, 4, 0, 0, 4, 3, 4, 1, 3, 4, 4, 2, 0, 0, 1, 1, 0, 4, 3, 1, 4, 3, 1, 2, 2, 1, 2, 4, 2, 1, 1, 0, 2, 4, 4, 2, 2, 2, 4, 4, 4, 3, 1, 4, 1, 1, 1, 1, 4, 4, 1, 4, 3, 3, 2, 3, 0, 0, 4, 4, 0, 2, 1, 4, 3, 4, 2, 2, 2, 3, 4, 3, 2, 1, 4, 3, 4, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 1, 0, 3, 1, 2, 1, 4, 2, 4, 2, 2, 2, 0, 4, 1, 0, 0, 3, 1, 0, 4, 4, 4, 0, 0, 1, 2, 1, 0, 0, 4, 4, 3, 0, 3, 0, 4, 0, 4, 3, 4, 2, 1, 4, 2, 2, 0, 0, 0, 4, 4, 3, 1, 3, 1, 0, 4, 2, 2, 2, 3, 4, 0, 0, 3, 4, 0, 2, 0, 1, 0, 3, 0, 0, 4, 3, 2, 2, 2, 4, 1, 3, 1, 2, 1, 0, 1, 2, 4, 2, 2, 3, 1, 2, 4, 1, 0, 2, 0, 2, 4, 2]
pubkeycol1206 = [1, 1, 1, 0, 4, 4, 3, 2, 2, 0, 4, 3, 2, 4, 4, 2, 3, 4, 0, 0, 1, 3, 4, 1, 0, 3, 3, 2, 4, 1, 0, 2, 4, 3, 2, 0, 4, 3, 2, 3, 4, 3, 2, 2, 0, 0, 2, 1, 0, 3, 4, 4, 2, 4, 3, 2, 4, 3, 3, 1, 4, 4, 3, 4, 2, 4, 3, 3, 2, 1, 1, 2, 4, 1, 0, 1, 1, 4, 4, 3, 0, 1, 3, 2, 4, 1, 1, 4, 4, 4, 4, 0, 4, 3, 2, 0, 2, 0, 4, 2, 1, 1, 0, 1, 4, 1, 3, 1, 4, 0, 1, 1, 2, 3, 1, 2, 2, 2, 1, 4, 4, 0, 1, 4, 1, 2, 3, 0, 4, 3, 1, 4, 2, 0, 1, 4, 4, 2, 0, 0, 4, 0, 4, 4, 2, 3, 4, 2, 1, 4, 2, 1, 0, 4, 4, 0, 1, 4, 2, 4, 0, 0, 2, 3, 1, 0, 3, 2, 0, 1, 0, 2, 2, 3, 2, 2, 1, 4, 2, 1, 2, 0, 1, 0, 0, 4, 3, 1, 4, 3, 4, 0, 4, 3, 4, 3, 4, 1, 1, 3, 0, 4, 2, 0, 4, 4, 0, 1, 2, 0, 3, 4, 4, 1, 2, 0, 2, 0, 0, 4, 1, 2, 0, 2, 4, 0, 1, 2, 1, 1, 2, 4, 0, 3, 1, 3, 1, 1, 0, 0, 0, 1, 2, 4, 4, 0, 4, 2, 0, 1, 0, 1, 0, 0, 2, 4, 4, 2, 0, 0, 4, 4, 3, 3, 2, 0, 4, 1, 4, 1, 4, 0, 4, 4, 2, 1, 4, 2, 3, 3, 1, 3, 2, 1, 0, 3, 3, 3, 4, 3, 4, 0, 4, 3, 2, 0, 4, 4, 0, 4, 4, 4, 3, 1, 2, 2, 2, 1, 0, 3, 3, 2, 3, 1, 1, 0, 1, 3, 1, 4]
pubkeycol1207 = [1, 3, 4, 1, 2, 0, 2, 2, 3, 1, 3, 1, 3, 1, 0, 4, 4, 4, 4, 3, 4, 0, 1, 2, 4, 1, 2, 4, 0, 1, 2, 0, 2, 3, 0, 2, 0, 3, 1, 3, 4, 0, 1, 0, 1, 2, 1, 3, 3, 0, 3, 4, 3, 4, 3, 1, 1, 1, 3, 2, 4, 3, 0, 4, 3, 2, 4, 4, 3, 1, 0, 1, 2, 1, 4, 3, 4, 2, 4, 4, 3, 1, 2, 2, 3, 0, 3, 0, 3, 2, 1, 2, 2, 0, 2, 2, 3, 3, 0, 0, 4, 3, 1, 0, 1, 4, 4, 3, 0, 1, 1, 0, 4, 1, 2, 2, 4, 2, 2, 4, 2, 2, 2, 3, 4, 4, 3, 1, 1, 3, 4, 2, 1, 0, 2, 1, 0, 2, 3, 3, 3, 1, 3, 0, 4, 1, 0, 1, 0, 1, 3, 4, 0, 3, 2, 2, 0, 3, 3, 0, 1, 4, 1, 2, 0, 3, 4, 2, 0, 1, 4, 4, 2, 2, 3, 3, 4, 2, 0, 2, 1, 1, 4, 0, 4, 4, 4, 4, 4, 1, 2, 0, 3, 3, 4, 0, 4, 3, 4, 0, 4, 3, 3, 2, 1, 3, 2, 2, 4, 4, 4, 2, 2, 1, 1, 1, 4, 3, 4, 1, 0, 2, 2, 3, 2, 2, 1, 4, 1, 2, 1, 3, 1, 2, 3, 3, 1, 3, 0, 2, 2, 3, 0, 3, 2, 1, 4, 1, 0, 4, 1, 1, 3, 3, 2, 2, 2, 0, 2, 3, 3, 0, 2, 3, 3, 0, 1, 4, 0, 4, 0, 2, 2, 2, 1, 0, 2, 3, 1, 3, 4, 4, 1, 1, 0, 3, 3, 2, 1, 0, 1, 1, 4, 3, 2, 2, 4, 1, 2, 0, 4, 1, 4, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 3, 0, 0, 4, 3, 1, 3]
pubkeycol1208 = [4, 2, 4, 1, 4, 1, 0, 3, 0, 0, 0, 4, 0, 4, 4, 3, 1, 2, 2, 3, 0, 4, 1, 3, 1, 3, 1, 4, 4, 3, 3, 2, 0, 3, 1, 0, 2, 0, 2, 4, 2, 4, 3, 1, 1, 1, 4, 4, 0, 0, 2, 0, 1, 1, 3, 2, 4, 3, 2, 4, 0, 3, 3, 1, 3, 4, 2, 1, 4, 2, 4, 0, 2, 1, 2, 2, 2, 4, 2, 2, 4, 3, 4, 1, 0, 3, 3, 3, 2, 3, 2, 1, 0, 1, 1, 3, 3, 4, 0, 4, 4, 4, 0, 4, 1, 4, 1, 1, 2, 3, 3, 0, 3, 4, 4, 0, 0, 4, 3, 0, 0, 4, 4, 2, 4, 3, 0, 4, 0, 4, 0, 4, 4, 1, 0, 2, 2, 4, 4, 1, 4, 3, 3, 2, 2, 4, 4, 2, 2, 1, 2, 2, 4, 4, 0, 2, 4, 3, 1, 0, 0, 3, 0, 1, 4, 1, 3, 1, 0, 0, 2, 2, 2, 4, 3, 1, 3, 0, 2, 0, 3, 0, 3, 3, 4, 0, 1, 0, 0, 1, 3, 3, 2, 3, 3, 1, 0, 2, 4, 4, 4, 0, 0, 4, 2, 1, 1, 3, 1, 1, 1, 1, 0, 1, 0, 4, 1, 3, 4, 1, 4, 3, 1, 3, 1, 2, 0, 0, 4, 1, 1, 4, 2, 1, 4, 2, 3, 0, 3, 2, 2, 1, 0, 1, 1, 3, 4, 4, 1, 1, 2, 4, 3, 1, 0, 0, 4, 0, 1, 1, 1, 3, 3, 1, 0, 4, 1, 0, 2, 0, 2, 1, 3, 1, 4, 0, 4, 0, 0, 2, 3, 3, 3, 3, 4, 2, 1, 1, 1, 1, 3, 0, 3, 0, 2, 2, 3, 0, 0, 2, 2, 4, 1, 3, 2, 4, 3, 4, 4, 4, 1, 0, 1, 4, 0, 1, 2, 2, 1, 0]
pubkeycol1209 = [0, 3, 4, 4, 1, 0, 0, 2, 1, 1, 4, 2, 3, 0, 1, 2, 4, 2, 3, 2, 2, 1, 2, 0, 0, 4, 4, 3, 1, 4, 3, 0, 0, 4, 1, 1, 3, 3, 2, 4, 4, 0, 4, 3, 4, 1, 4, 2, 0, 4, 0, 3, 1, 0, 0, 3, 4, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 4, 2, 1, 1, 2, 3, 1, 4, 3, 0, 4, 2, 1, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 3, 4, 4, 2, 2, 3, 0, 0, 4, 3, 0, 3, 3, 1, 3, 3, 4, 2, 0, 1, 0, 4, 1, 0, 3, 1, 1, 4, 4, 1, 2, 4, 2, 1, 2, 4, 1, 0, 3, 4, 1, 2, 3, 2, 4, 2, 0, 4, 0, 3, 1, 0, 3, 0, 3, 2, 3, 0, 0, 4, 1, 2, 1, 2, 0, 4, 3, 4, 0, 3, 4, 2, 4, 2, 3, 0, 0, 3, 1, 2, 1, 4, 2, 3, 0, 2, 3, 2, 2, 4, 3, 1, 1, 3, 0, 4, 2, 3, 1, 3, 3, 4, 3, 3, 3, 3, 4, 0, 4, 1, 3, 4, 3, 0, 3, 3, 4, 1, 1, 2, 4, 3, 4, 3, 0, 2, 0, 4, 2, 2, 3, 4, 2, 2, 3, 2, 4, 4, 0, 1, 1, 0, 4, 4, 3, 0, 4, 4, 2, 0, 4, 4, 2, 3, 3, 4, 1, 3, 0, 4, 4, 3, 3, 0, 3, 4, 4, 0, 1, 4, 2, 1, 1, 1, 4, 3, 4, 1, 0, 3, 1, 3, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 4, 0, 2, 3, 0, 2, 2, 3, 4, 2, 4, 0, 1, 2, 1, 4, 1, 4, 2, 1, 2, 1, 3, 1, 3, 4, 4, 0, 4, 4, 1, 3, 4, 2, 0, 4]
pubkeycol1210 = [3, 0, 4, 0, 1, 3, 2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 1, 4, 0, 3, 1, 1, 4, 4, 3, 1, 3, 1, 1, 3, 3, 3, 0, 2, 4, 0, 2, 0, 0, 4, 0, 4, 1, 1, 1, 0, 1, 4, 1, 0, 4, 1, 4, 2, 2, 2, 0, 1, 2, 3, 2, 4, 4, 3, 3, 3, 4, 1, 4, 3, 1, 3, 0, 1, 3, 0, 3, 0, 1, 2, 4, 0, 0, 3, 1, 3, 2, 3, 1, 4, 2, 0, 2, 1, 1, 2, 4, 1, 3, 2, 3, 3, 3, 1, 3, 3, 0, 2, 2, 3, 2, 0, 4, 1, 2, 4, 2, 1, 0, 1, 3, 2, 3, 3, 0, 1, 2, 0, 4, 0, 3, 1, 1, 4, 3, 2, 1, 0, 1, 2, 0, 4, 4, 1, 1, 0, 3, 1, 4, 1, 0, 0, 4, 3, 1, 4, 2, 2, 4, 1, 2, 3, 2, 3, 0, 4, 1, 0, 4, 0, 3, 3, 0, 1, 4, 4, 3, 4, 1, 1, 0, 0, 3, 3, 2, 3, 3, 4, 1, 0, 0, 4, 0, 0, 4, 2, 3, 3, 4, 1, 4, 4, 0, 3, 1, 4, 2, 3, 1, 1, 0, 4, 3, 0, 0, 2, 4, 2, 0, 0, 2, 3, 0, 1, 3, 4, 2, 2, 1, 1, 2, 4, 2, 3, 3, 1, 3, 2, 1, 3, 4, 1, 1, 0, 3, 3, 3, 4, 3, 2, 2, 2, 0, 4, 3, 2, 3, 4, 1, 4, 0, 2, 4, 0, 4, 4, 2, 3, 4, 3, 2, 0, 4, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 4, 4, 0, 2, 2, 2, 2, 1, 1, 3, 1, 0, 2, 3, 3, 4, 0, 1, 0, 3, 3, 3, 0, 2, 3, 2, 4, 0, 0, 4, 1, 2, 2, 2, 2, 2, 0]
pubkeycol1211 = [2, 4, 1, 0, 2, 1, 2, 3, 3, 3, 2, 1, 0, 1, 0, 1, 2, 3, 2, 2, 0, 3, 4, 0, 0, 0, 2, 2, 3, 3, 4, 4, 4, 3, 0, 0, 2, 1, 4, 3, 1, 0, 4, 1, 4, 0, 3, 1, 3, 3, 0, 4, 2, 3, 0, 2, 1, 4, 2, 4, 0, 3, 1, 3, 4, 2, 1, 4, 3, 2, 1, 3, 1, 0, 2, 4, 2, 0, 2, 0, 4, 3, 2, 3, 4, 2, 1, 2, 3, 3, 0, 1, 3, 3, 0, 2, 3, 2, 1, 1, 1, 4, 1, 2, 2, 4, 1, 3, 1, 3, 4, 4, 3, 0, 0, 3, 3, 1, 1, 3, 3, 0, 2, 2, 1, 4, 0, 1, 4, 1, 2, 0, 1, 3, 1, 2, 3, 0, 4, 2, 4, 1, 0, 1, 1, 3, 1, 1, 1, 4, 1, 2, 3, 4, 1, 2, 4, 2, 1, 0, 0, 2, 3, 1, 2, 4, 0, 2, 3, 0, 4, 1, 0, 2, 0, 1, 4, 4, 2, 0, 3, 0, 2, 3, 4, 1, 2, 1, 4, 0, 0, 4, 1, 1, 4, 0, 4, 4, 3, 2, 3, 4, 0, 4, 0, 2, 4, 2, 3, 3, 2, 0, 1, 2, 2, 0, 1, 3, 4, 1, 3, 2, 1, 1, 1, 4, 0, 3, 1, 2, 2, 0, 1, 4, 0, 1, 3, 3, 2, 1, 2, 0, 2, 1, 1, 1, 3, 0, 4, 0, 1, 2, 2, 0, 3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 3, 4, 2, 4, 3, 3, 0, 1, 0, 4, 3, 4, 0, 1, 2, 0, 1, 0, 3, 4, 3, 1, 2, 0, 2, 3, 3, 1, 0, 2, 4, 1, 0, 3, 3, 3, 2, 0, 4, 4, 0, 4, 4, 1, 1, 3, 1, 1, 0, 3, 4, 3, 4]
pubkeycol1212 = [3, 0, 3, 2, 4, 2, 3, 4, 3, 0, 4, 3, 1, 1, 2, 0, 2, 1, 0, 0, 3, 2, 4, 3, 1, 4, 4, 4, 2, 3, 4, 4, 4, 3, 0, 3, 2, 4, 0, 3, 3, 0, 0, 2, 0, 1, 4, 0, 1, 4, 3, 1, 1, 2, 4, 4, 0, 1, 0, 1, 4, 0, 3, 4, 3, 0, 2, 2, 4, 0, 1, 1, 4, 2, 4, 1, 1, 0, 3, 0, 1, 4, 4, 3, 4, 3, 1, 0, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 3, 2, 0, 2, 2, 0, 4, 3, 4, 2, 3, 3, 3, 4, 3, 3, 2, 2, 4, 3, 2, 0, 0, 3, 3, 2, 0, 2, 2, 1, 3, 1, 0, 2, 2, 4, 3, 3, 2, 4, 1, 4, 0, 4, 1, 4, 4, 4, 4, 2, 2, 3, 2, 2, 3, 1, 3, 1, 3, 0, 4, 0, 0, 4, 0, 1, 4, 4, 0, 4, 4, 1, 2, 0, 3, 4, 0, 2, 0, 1, 2, 0, 1, 0, 3, 3, 4, 2, 1, 2, 4, 2, 4, 4, 0, 4, 4, 4, 4, 4, 2, 3, 1, 2, 1, 1, 4, 2, 0, 0, 1, 0, 3, 2, 4, 4, 2, 1, 3, 2, 0, 3, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 2, 0, 2, 1, 1, 1, 3, 2, 2, 4, 2, 4, 1, 3, 2, 4, 0, 4, 1, 0, 4, 0, 4, 3, 1, 1, 1, 4, 1, 0, 1, 4, 1, 1, 4, 3, 3, 3, 1, 4, 3, 0, 2, 2, 3, 0, 3, 3, 1, 2, 3, 0, 4, 0, 0, 2, 0, 0, 4, 0, 3, 3, 2, 2, 0, 4, 0, 3, 1, 1, 0, 4, 0, 0, 2, 4, 0, 2, 2, 1, 3]
pubkeycol1213 = [2, 4, 3, 3, 2, 2, 2, 4, 4, 1, 1, 3, 0, 4, 2, 4, 1, 4, 0, 0, 0, 3, 1, 0, 3, 4, 3, 2, 3, 4, 1, 4, 1, 0, 4, 1, 3, 1, 0, 4, 4, 1, 0, 4, 2, 2, 2, 1, 2, 2, 4, 1, 2, 4, 2, 1, 4, 4, 0, 0, 2, 1, 1, 4, 2, 4, 4, 0, 4, 0, 3, 2, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 2, 4, 3, 4, 1, 1, 2, 2, 3, 0, 4, 2, 1, 4, 1, 0, 2, 2, 0, 4, 2, 3, 4, 2, 1, 4, 3, 0, 4, 0, 0, 4, 3, 0, 3, 1, 2, 4, 3, 3, 0, 0, 3, 3, 1, 3, 3, 3, 1, 4, 1, 1, 4, 0, 2, 4, 4, 0, 3, 3, 1, 1, 2, 4, 1, 2, 4, 0, 0, 1, 0, 4, 2, 1, 2, 2, 4, 1, 1, 0, 4, 1, 4, 0, 2, 0, 3, 2, 4, 3, 2, 2, 1, 0, 3, 4, 4, 0, 1, 0, 1, 4, 2, 2, 1, 2, 3, 2, 4, 0, 0, 2, 2, 4, 1, 3, 0, 1, 1, 1, 4, 1, 4, 2, 4, 3, 3, 4, 4, 3, 0, 4, 2, 2, 2, 4, 2, 1, 4, 4, 4, 3, 4, 1, 0, 2, 3, 2, 0, 4, 1, 4, 3, 3, 2, 4, 2, 2, 2, 1, 1, 2, 4, 1, 4, 0, 1, 0, 1, 0, 3, 1, 0, 4, 2, 3, 4, 1, 0, 0, 3, 2, 0, 4, 4, 2, 2, 0, 2, 4, 1, 4, 2, 0, 2, 0, 2, 1, 4, 2, 0, 3, 4, 2, 0, 3, 1, 3, 0, 2, 1, 3, 2, 3, 0, 0, 1, 1, 1, 2, 0, 3, 0, 1, 2, 2, 4, 0, 1, 0, 1, 0, 1, 1, 2, 3, 2]
pubkeycol1214 = [2, 1, 2, 0, 3, 4, 1, 4, 4, 2, 4, 2, 0, 3, 1, 0, 3, 4, 4, 1, 4, 2, 2, 1, 3, 4, 2, 2, 4, 4, 4, 2, 2, 1, 4, 3, 2, 2, 2, 2, 2, 1, 4, 2, 0, 3, 3, 0, 4, 4, 3, 3, 4, 2, 2, 0, 1, 4, 2, 0, 2, 0, 1, 4, 4, 3, 3, 4, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 3, 2, 0, 2, 2, 4, 2, 3, 1, 0, 4, 0, 3, 4, 2, 4, 0, 3, 2, 2, 4, 3, 1, 0, 3, 0, 4, 2, 1, 2, 1, 2, 3, 2, 1, 0, 2, 4, 1, 1, 2, 0, 4, 2, 3, 2, 3, 4, 2, 2, 0, 2, 2, 0, 0, 2, 3, 1, 4, 3, 3, 0, 3, 1, 4, 4, 1, 0, 2, 4, 4, 4, 3, 3, 3, 1, 3, 4, 0, 0, 1, 4, 2, 0, 2, 1, 3, 3, 1, 3, 3, 4, 3, 4, 0, 1, 0, 4, 2, 0, 2, 1, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 3, 2, 1, 1, 1, 3, 2, 1, 0, 4, 3, 1, 2, 1, 3, 0, 1, 3, 3, 3, 0, 3, 3, 4, 4, 1, 2, 3, 4, 3, 0, 0, 2, 1, 0, 3, 0, 3, 0, 4, 1, 2, 1, 4, 4, 3, 3, 4, 4, 3, 2, 0, 0, 0, 0, 4, 3, 2, 0, 0, 2, 2, 3, 1, 1, 1, 2, 2, 4, 3, 1, 4, 3, 0, 0, 0, 3, 4, 3, 3, 4, 4, 1, 0, 1, 0, 3, 2, 0, 2, 1, 1, 2, 1, 3, 3, 2, 2, 3, 4, 2, 4, 1, 3, 4, 3, 0, 1, 1, 4, 3, 4, 0, 2, 1, 2, 4, 0, 4, 4, 1, 4, 1, 2, 1, 1, 3, 1, 2, 3]
pubkeycol1215 = [3, 4, 2, 0, 4, 4, 1, 0, 4, 3, 1, 3, 1, 4, 3, 0, 1, 1, 0, 4, 3, 1, 1, 0, 2, 4, 3, 2, 2, 3, 2, 3, 4, 1, 4, 0, 0, 3, 3, 2, 1, 3, 3, 3, 2, 1, 4, 1, 2, 1, 3, 3, 3, 3, 3, 4, 0, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 4, 4, 1, 1, 2, 4, 3, 2, 2, 0, 4, 1, 0, 1, 0, 4, 2, 2, 4, 0, 4, 0, 2, 0, 2, 2, 0, 4, 3, 1, 4, 4, 3, 2, 2, 4, 4, 4, 1, 3, 4, 1, 2, 4, 0, 0, 4, 4, 4, 2, 0, 2, 4, 4, 4, 3, 4, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 4, 2, 3, 1, 4, 3, 3, 2, 1, 3, 1, 1, 3, 4, 0, 2, 2, 2, 1, 1, 3, 0, 1, 4, 2, 0, 0, 2, 4, 4, 2, 0, 2, 4, 3, 3, 3, 2, 2, 2, 1, 1, 3, 1, 0, 2, 0, 1, 4, 1, 4, 0, 3, 0, 4, 0, 2, 4, 4, 4, 1, 2, 3, 2, 0, 1, 4, 2, 2, 0, 1, 0, 1, 0, 4, 4, 3, 1, 4, 0, 4, 2, 4, 0, 4, 4, 0, 0, 4, 3, 2, 3, 3, 1, 3, 4, 2, 1, 1, 0, 2, 3, 1, 0, 3, 1, 0, 1, 1, 1, 4, 2, 0, 4, 3, 0, 3, 2, 1, 2, 4, 4, 4, 2, 4, 1, 0, 3, 0, 1, 2, 4, 0, 1, 0, 0, 2, 3, 0, 2, 0, 1, 1, 1, 3, 1, 2, 4, 3, 1, 4, 1, 4, 0, 4, 0, 2, 1, 0, 3, 0, 4, 3, 0, 4, 3, 0, 1, 0, 1, 4, 3, 1, 2, 1, 2, 0, 4, 0, 4, 4, 3, 0]
pubkeycol1216 = [1, 2, 2, 3, 0, 0, 4, 4, 2, 4, 1, 0, 4, 2, 3, 1, 2, 1, 3, 3, 0, 4, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 0, 3, 0, 4, 3, 3, 2, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 4, 3, 0, 3, 2, 4, 3, 4, 3, 1, 1, 1, 4, 4, 4, 1, 1, 3, 1, 2, 2, 4, 1, 0, 3, 1, 0, 4, 1, 4, 1, 4, 1, 3, 3, 3, 1, 1, 0, 2, 4, 2, 4, 1, 4, 1, 2, 0, 4, 2, 2, 3, 2, 0, 3, 1, 4, 3, 4, 1, 2, 4, 4, 2, 4, 0, 3, 0, 3, 0, 4, 4, 0, 0, 2, 2, 0, 2, 4, 1, 1, 1, 3, 4, 1, 3, 1, 3, 2, 4, 4, 3, 1, 0, 4, 1, 2, 0, 0, 1, 1, 1, 2, 2, 4, 2, 2, 1, 4, 4, 3, 1, 1, 0, 1, 4, 2, 1, 2, 4, 0, 3, 4, 4, 1, 3, 4, 0, 1, 2, 0, 2, 4, 0, 4, 1, 3, 0, 1, 1, 4, 1, 4, 4, 0, 1, 3, 2, 1, 4, 3, 0, 3, 4, 0, 3, 1, 4, 0, 1, 1, 0, 3, 3, 3, 0, 0, 0, 4, 3, 0, 2, 0, 4, 4, 4, 4, 2, 2, 2, 4, 4, 0, 1, 0, 3, 1, 2, 0, 0, 3, 0, 3, 3, 4, 4, 1, 4, 4, 0, 3, 4, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 0, 4, 1, 3, 3, 0, 4, 3, 1, 4, 0, 1, 4, 1, 1, 4, 1, 1, 2, 0, 3, 0, 4, 0, 4, 0, 1, 1, 2, 1, 3, 1, 4, 3, 4, 4, 3, 2, 1, 1, 4, 0, 1, 4, 4, 4, 3, 0, 0, 3, 2, 1, 1, 0]
pubkeycol1217 = [1, 4, 3, 1, 4, 3, 0, 4, 2, 4, 0, 0, 1, 1, 2, 3, 4, 4, 3, 3, 1, 2, 1, 0, 0, 1, 1, 3, 3, 3, 1, 4, 3, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 4, 1, 3, 4, 0, 1, 2, 1, 2, 2, 0, 3, 4, 3, 4, 4, 4, 3, 1, 0, 1, 2, 3, 4, 3, 1, 2, 2, 0, 0, 1, 1, 0, 4, 1, 0, 1, 2, 2, 3, 1, 3, 4, 1, 4, 2, 3, 1, 1, 4, 1, 1, 3, 0, 2, 2, 3, 1, 1, 0, 1, 1, 1, 3, 0, 0, 0, 2, 4, 0, 3, 0, 1, 2, 2, 4, 4, 0, 4, 3, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 3, 2, 4, 0, 2, 3, 0, 3, 2, 2, 0, 1, 4, 4, 4, 3, 2, 4, 2, 4, 4, 1, 3, 3, 0, 0, 2, 2, 0, 4, 0, 1, 2, 2, 1, 3, 0, 1, 2, 1, 1, 3, 4, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 4, 4, 2, 4, 1, 1, 0, 1, 0, 4, 3, 3, 0, 3, 0, 4, 1, 2, 1, 3, 2, 2, 1, 1, 3, 4, 4, 0, 0, 2, 1, 3, 0, 4, 3, 1, 0, 3, 2, 2, 3, 3, 3, 1, 3, 4, 2, 3, 3, 3, 4, 0, 2, 3, 2, 0, 1, 4, 2, 4, 3, 2, 1, 0, 0, 2, 1, 2, 2, 0, 3, 0, 3, 3, 0, 4, 0, 4, 4, 4, 0, 4, 0, 1, 1, 2, 3, 4, 0, 3, 1, 3, 3, 2, 2, 2, 0, 0, 3, 0, 1, 3, 2, 2, 1, 3, 3, 3, 2, 3, 1, 2, 2, 0, 3, 2, 1, 4, 1, 1, 0, 4, 3, 3]
pubkeycol1218 = [2, 1, 4, 2, 3, 0, 4, 3, 2, 1, 2, 0, 0, 1, 2, 0, 4, 0, 0, 2, 2, 2, 2, 3, 4, 1, 3, 1, 3, 4, 4, 2, 1, 0, 0, 4, 1, 1, 0, 2, 3, 2, 0, 1, 0, 2, 2, 4, 4, 0, 1, 0, 2, 2, 4, 1, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 4, 4, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 1, 1, 4, 3, 1, 3, 2, 2, 0, 2, 2, 4, 3, 1, 1, 0, 1, 3, 2, 2, 2, 3, 0, 0, 0, 4, 2, 2, 2, 1, 4, 4, 1, 1, 3, 1, 4, 2, 2, 1, 4, 1, 2, 1, 2, 0, 2, 0, 1, 0, 4, 4, 0, 4, 2, 4, 2, 3, 4, 2, 4, 3, 2, 4, 1, 3, 0, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 0, 4, 4, 1, 0, 3, 2, 0, 2, 3, 2, 3, 4, 1, 0, 1, 0, 4, 1, 4, 3, 1, 1, 3, 2, 1, 4, 4, 1, 1, 4, 0, 3, 0, 3, 0, 1, 3, 1, 2, 3, 2, 0, 0, 2, 2, 3, 2, 0, 0, 4, 3, 3, 4, 0, 0, 2, 3, 2, 2, 0, 0, 2, 3, 4, 3, 3, 1, 0, 0, 1, 3, 3, 2, 1, 3, 0, 0, 2, 1, 0, 0, 4, 1, 2, 2, 4, 0, 1, 1, 2, 0, 1, 2, 2, 4, 2, 2, 3, 4, 4, 3, 4, 2, 2, 4, 4, 3, 2, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 0, 3, 0, 3, 3, 4, 2, 3, 0, 3, 3, 0, 1, 4, 1, 4, 4, 1, 0, 2, 1, 4, 2, 3, 2, 4, 2, 1, 3, 0, 1, 2, 2, 4, 1, 2, 4, 2, 2, 3, 3, 1, 0, 4, 4]
pubkeycol1219 = [0, 3, 3, 3, 2, 3, 3, 2, 4, 0, 4, 4, 1, 3, 0, 2, 3, 4, 4, 1, 4, 1, 4, 3, 0, 2, 3, 0, 3, 0, 3, 3, 3, 4, 0, 0, 2, 1, 1, 0, 3, 3, 3, 4, 1, 0, 2, 4, 0, 4, 1, 1, 4, 3, 4, 2, 0, 2, 3, 3, 3, 2, 4, 4, 0, 3, 2, 2, 1, 3, 0, 0, 2, 1, 3, 1, 1, 1, 4, 0, 2, 0, 0, 4, 3, 0, 0, 2, 1, 3, 1, 2, 3, 2, 0, 3, 3, 4, 4, 2, 4, 2, 1, 0, 2, 0, 3, 4, 1, 3, 1, 2, 2, 4, 4, 0, 1, 0, 3, 1, 1, 3, 2, 3, 4, 2, 2, 1, 1, 2, 0, 0, 4, 4, 4, 3, 0, 0, 1, 0, 1, 1, 2, 0, 1, 3, 2, 1, 2, 4, 1, 2, 4, 4, 1, 1, 1, 0, 2, 2, 4, 1, 2, 3, 2, 2, 0, 2, 4, 4, 0, 3, 1, 4, 0, 4, 2, 2, 1, 0, 3, 2, 0, 2, 0, 1, 1, 4, 0, 2, 3, 1, 4, 3, 4, 2, 3, 2, 1, 3, 1, 3, 1, 3, 4, 1, 0, 3, 0, 3, 2, 4, 0, 2, 2, 4, 3, 4, 1, 1, 2, 4, 1, 2, 4, 3, 0, 3, 0, 1, 2, 4, 2, 1, 0, 2, 4, 2, 3, 3, 3, 2, 4, 3, 0, 0, 0, 1, 4, 0, 3, 4, 0, 1, 2, 0, 3, 3, 3, 2, 1, 0, 3, 1, 3, 4, 1, 1, 0, 1, 1, 1, 4, 3, 3, 4, 2, 1, 0, 1, 3, 3, 2, 1, 1, 3, 0, 3, 1, 3, 3, 1, 1, 4, 3, 4, 4, 0, 2, 1, 3, 1, 0, 4, 4, 4, 4, 0, 1, 3, 1, 4, 2, 3, 4, 2, 3, 0, 1, 2]
pubkeycol1220 = [2, 2, 3, 3, 3, 4, 1, 0, 1, 1, 0, 2, 0, 3, 4, 0, 2, 1, 0, 1, 0, 0, 3, 1, 0, 1, 3, 1, 0, 2, 3, 0, 2, 0, 0, 1, 2, 3, 4, 1, 4, 2, 4, 4, 3, 2, 3, 3, 1, 0, 3, 3, 4, 2, 4, 1, 4, 1, 0, 3, 3, 1, 3, 1, 3, 1, 3, 3, 1, 2, 4, 2, 3, 1, 0, 0, 4, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 0, 4, 0, 4, 2, 4, 1, 3, 0, 0, 1, 0, 3, 2, 0, 4, 1, 2, 2, 1, 1, 2, 2, 2, 4, 4, 1, 2, 0, 2, 4, 1, 1, 1, 1, 2, 3, 1, 3, 4, 2, 2, 1, 1, 0, 2, 0, 3, 4, 0, 3, 1, 0, 1, 0, 2, 0, 3, 4, 1, 3, 2, 1, 4, 1, 0, 1, 1, 1, 2, 2, 1, 4, 4, 3, 0, 0, 4, 4, 0, 1, 1, 4, 3, 3, 0, 2, 0, 1, 4, 3, 3, 0, 2, 2, 3, 2, 2, 4, 3, 0, 3, 3, 1, 0, 1, 4, 0, 1, 4, 3, 3, 1, 0, 1, 0, 2, 0, 4, 2, 3, 2, 4, 2, 4, 4, 2, 3, 1, 0, 2, 0, 0, 4, 0, 2, 0, 1, 3, 2, 1, 1, 0, 1, 0, 0, 4, 3, 0, 2, 3, 3, 0, 3, 2, 2, 4, 3, 1, 1, 1, 3, 0, 0, 4, 4, 0, 2, 3, 1, 2, 1, 0, 3, 0, 0, 2, 2, 0, 3, 3, 3, 4, 0, 0, 4, 4, 3, 4, 2, 0, 2, 1, 0, 4, 1, 0, 2, 4, 0, 3, 3, 0, 0, 0, 1, 2, 2, 4, 1, 0, 4, 1, 1, 1, 4, 3, 4, 1, 1, 2, 1, 3, 2, 4, 4, 3, 1, 4, 2, 1, 0, 0]
pubkeycol1221 = [3, 4, 0, 3, 2, 3, 4, 3, 1, 0, 1, 1, 3, 3, 3, 4, 2, 0, 1, 3, 0, 0, 3, 4, 4, 4, 2, 1, 2, 1, 2, 3, 4, 0, 0, 0, 1, 4, 2, 2, 0, 3, 2, 0, 3, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 4, 2, 3, 0, 1, 4, 4, 2, 2, 4, 2, 0, 2, 3, 1, 2, 1, 1, 4, 0, 3, 3, 4, 3, 0, 4, 1, 2, 0, 4, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 3, 2, 4, 1, 3, 2, 4, 4, 3, 0, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 4, 4, 4, 4, 2, 2, 3, 1, 4, 4, 1, 0, 4, 4, 1, 2, 3, 0, 0, 1, 2, 2, 3, 3, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 3, 3, 2, 1, 2, 3, 4, 1, 4, 4, 4, 3, 0, 4, 1, 1, 3, 4, 4, 3, 2, 3, 4, 0, 2, 0, 1, 1, 0, 4, 4, 3, 4, 0, 4, 0, 4, 4, 1, 1, 4, 2, 2, 4, 0, 0, 2, 3, 2, 4, 3, 1, 1, 4, 2, 2, 3, 0, 3, 3, 4, 2, 2, 4, 2, 3, 1, 0, 2, 4, 4, 4, 1, 4, 4, 1, 1, 3, 3, 0, 4, 0, 1, 1, 0, 2, 4, 2, 4, 0, 1, 2, 1, 4, 1, 3, 2, 3, 1, 0, 1, 1, 1, 1, 0, 4, 0, 0, 3, 3, 1, 2, 4, 2, 4, 4, 0, 1, 2, 4, 3, 2, 2, 4, 1, 3, 1, 3, 0, 4, 3, 4, 0, 4, 2, 3, 2, 3, 4, 3, 2, 1, 1, 1, 0, 2, 2, 4, 3, 3, 4, 0, 2, 1, 4, 0, 0, 1, 2, 2, 3, 3, 0, 1, 3]
pubkeycol1222 = [2, 2, 1, 3, 2, 4, 0, 2, 3, 0, 3, 1, 2, 4, 3, 4, 0, 1, 0, 4, 4, 4, 0, 2, 0, 2, 3, 2, 3, 3, 2, 0, 4, 3, 1, 2, 3, 0, 4, 3, 0, 0, 4, 4, 3, 2, 1, 2, 1, 0, 4, 1, 0, 4, 0, 3, 0, 4, 4, 2, 3, 1, 3, 1, 2, 4, 3, 4, 4, 2, 1, 2, 1, 2, 4, 1, 3, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 3, 1, 1, 0, 4, 1, 0, 4, 0, 3, 0, 3, 0, 3, 4, 0, 0, 2, 2, 3, 3, 4, 4, 2, 0, 3, 2, 1, 4, 0, 3, 1, 2, 3, 1, 4, 0, 1, 3, 1, 0, 2, 3, 0, 2, 3, 0, 0, 2, 0, 3, 3, 3, 0, 1, 2, 0, 4, 0, 1, 1, 3, 1, 0, 1, 3, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 3, 0, 4, 3, 2, 4, 4, 1, 1, 0, 3, 1, 2, 0, 1, 3, 1, 0, 2, 3, 1, 3, 3, 1, 0, 0, 3, 2, 2, 1, 0, 1, 4, 1, 1, 2, 3, 2, 1, 1, 3, 3, 1, 3, 3, 3, 1, 2, 3, 0, 0, 3, 4, 1, 4, 4, 1, 0, 0, 3, 4, 4, 3, 2, 1, 0, 4, 1, 4, 1, 2, 4, 4, 0, 3, 3, 4, 4, 0, 0, 4, 2, 1, 2, 0, 0, 0, 1, 3, 2, 2, 4, 4, 2, 0, 4, 0, 2, 3, 3, 3, 1, 4, 2, 0, 1, 0, 4, 2, 0, 3, 3, 3, 0, 0, 1, 1, 0, 4, 1, 2, 1, 4, 1, 0, 2, 2, 2, 1, 4, 2, 4, 3, 2, 2, 1, 4, 2, 0, 2, 0, 1, 4, 1, 3, 4, 4, 0, 1, 4, 4, 0, 1, 3, 4]
pubkeycol1223 = [3, 3, 0, 2, 3, 0, 4, 4, 4, 1, 3, 0, 0, 4, 4, 2, 3, 2, 1, 4, 2, 3, 3, 2, 1, 3, 3, 3, 1, 1, 3, 2, 2, 2, 1, 0, 1, 3, 1, 1, 4, 2, 1, 4, 1, 0, 0, 3, 4, 3, 2, 2, 3, 0, 1, 0, 3, 1, 1, 4, 4, 2, 4, 2, 4, 1, 1, 3, 3, 0, 3, 0, 4, 2, 2, 0, 3, 0, 4, 2, 4, 3, 1, 2, 4, 0, 1, 1, 3, 2, 1, 0, 4, 2, 3, 0, 4, 3, 0, 0, 1, 4, 1, 2, 2, 3, 2, 3, 3, 3, 1, 4, 3, 1, 4, 0, 1, 2, 0, 0, 1, 4, 3, 3, 4, 0, 4, 2, 0, 0, 4, 1, 4, 3, 2, 4, 3, 2, 1, 3, 1, 2, 4, 3, 1, 3, 4, 1, 4, 0, 0, 4, 1, 1, 3, 2, 3, 2, 3, 1, 4, 3, 3, 1, 4, 3, 1, 1, 2, 4, 3, 0, 1, 0, 3, 2, 2, 3, 1, 4, 4, 0, 3, 4, 4, 2, 3, 4, 0, 0, 1, 3, 3, 4, 2, 3, 2, 2, 1, 0, 1, 0, 4, 4, 1, 3, 2, 3, 4, 3, 1, 4, 3, 0, 3, 0, 2, 3, 3, 4, 1, 0, 2, 3, 1, 1, 0, 0, 1, 0, 4, 0, 0, 3, 4, 2, 3, 1, 1, 0, 2, 3, 2, 1, 0, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 4, 2, 1, 0, 3, 2, 0, 4, 1, 4, 4, 0, 2, 4, 2, 2, 2, 0, 1, 4, 0, 0, 0, 1, 0, 0, 0, 3, 4, 0, 3, 3, 2, 2, 1, 0, 1, 0, 4, 4, 1, 1, 4, 4, 0, 2, 4, 2, 3, 2, 1, 0, 2, 1, 4, 0, 0, 3, 3, 1, 0, 2, 2]
pubkeycol1224 = [4, 4, 1, 2, 3, 1, 3, 0, 0, 0, 4, 1, 1, 3, 3, 1, 4, 3, 3, 1, 0, 4, 2, 3, 4, 0, 4, 3, 4, 3, 2, 4, 0, 2, 3, 3, 1, 1, 4, 4, 2, 2, 0, 3, 4, 2, 3, 3, 3, 2, 3, 1, 2, 3, 2, 4, 0, 1, 1, 3, 2, 3, 0, 4, 4, 0, 2, 4, 0, 2, 0, 1, 3, 2, 1, 4, 0, 2, 1, 0, 3, 0, 4, 0, 4, 1, 2, 0, 2, 2, 0, 0, 0, 3, 1, 1, 3, 2, 2, 4, 1, 2, 4, 3, 1, 0, 1, 2, 2, 2, 2, 3, 1, 4, 0, 3, 2, 0, 0, 1, 0, 3, 3, 1, 2, 3, 4, 0, 4, 4, 3, 0, 3, 3, 2, 4, 2, 3, 3, 0, 0, 3, 4, 0, 4, 2, 1, 0, 2, 3, 2, 0, 0, 2, 4, 3, 3, 1, 3, 4, 3, 1, 2, 4, 4, 2, 0, 3, 3, 3, 2, 0, 4, 3, 3, 2, 2, 0, 0, 1, 4, 4, 0, 3, 2, 3, 0, 0, 3, 3, 1, 0, 0, 1, 2, 4, 4, 1, 2, 4, 3, 0, 1, 1, 3, 2, 3, 3, 3, 4, 3, 1, 3, 0, 0, 0, 1, 4, 4, 1, 3, 1, 0, 1, 0, 1, 1, 4, 2, 0, 0, 1, 4, 1, 2, 4, 0, 1, 2, 2, 1, 2, 1, 3, 0, 3, 4, 1, 1, 1, 3, 2, 3, 3, 4, 3, 2, 3, 1, 1, 2, 0, 0, 2, 2, 3, 1, 2, 0, 0, 3, 1, 0, 0, 0, 4, 4, 0, 4, 0, 2, 4, 0, 4, 3, 2, 1, 1, 2, 3, 3, 0, 0, 1, 0, 0, 2, 4, 3, 4, 1, 1, 2, 0, 4, 0, 0, 2, 0, 3, 3, 1, 3, 2, 2, 0, 1, 1, 4, 4]
pubkeycol1225 = [2, 2, 4, 0, 1, 1, 3, 3, 0, 2, 0, 1, 4, 2, 4, 3, 0, 1, 2, 3, 1, 2, 4, 4, 2, 2, 4, 1, 1, 1, 1, 3, 1, 0, 2, 0, 1, 2, 1, 4, 4, 1, 0, 2, 4, 2, 3, 1, 0, 4, 4, 4, 1, 4, 4, 0, 3, 2, 1, 3, 3, 4, 4, 4, 3, 1, 2, 2, 3, 3, 3, 1, 3, 0, 3, 1, 3, 4, 1, 3, 2, 2, 4, 2, 0, 4, 2, 2, 0, 2, 1, 0, 0, 0, 2, 3, 0, 0, 2, 4, 1, 0, 4, 0, 2, 3, 2, 2, 0, 4, 4, 2, 1, 2, 4, 0, 1, 3, 2, 0, 1, 3, 1, 3, 3, 1, 1, 1, 4, 4, 1, 4, 3, 4, 3, 1, 4, 2, 4, 1, 4, 2, 0, 4, 1, 3, 4, 3, 1, 4, 1, 0, 3, 0, 2, 2, 2, 0, 4, 2, 4, 3, 1, 2, 3, 1, 4, 0, 2, 3, 2, 0, 0, 4, 1, 2, 3, 2, 3, 2, 2, 2, 1, 1, 3, 2, 0, 2, 4, 3, 3, 2, 2, 2, 1, 0, 2, 4, 3, 2, 3, 0, 0, 3, 3, 0, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 2, 2, 0, 3, 2, 1, 1, 0, 2, 2, 0, 0, 1, 3, 4, 4, 4, 4, 2, 2, 3, 1, 3, 0, 3, 0, 0, 0, 2, 2, 2, 0, 2, 0, 3, 0, 3, 0, 4, 1, 1, 4, 0, 1, 4, 1, 1, 4, 0, 1, 2, 4, 3, 0, 4, 0, 4, 1, 1, 1, 3, 2, 0, 1, 3, 3, 2, 3, 0, 3, 1, 4, 2, 1, 2, 1, 4, 1, 2, 1, 0, 0, 2, 2, 1, 3, 1, 3, 1, 2, 0, 3, 3, 0, 0, 0, 4, 4, 3, 3, 1, 0, 4, 1]
pubkeycol1226 = [0, 4, 4, 1, 4, 1, 0, 2, 1, 3, 1, 1, 4, 2, 0, 0, 1, 2, 4, 0, 3, 0, 1, 0, 1, 3, 2, 2, 0, 1, 3, 0, 2, 0, 0, 4, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 3, 2, 3, 0, 3, 1, 1, 2, 4, 3, 4, 1, 0, 3, 0, 4, 3, 4, 2, 2, 3, 3, 0, 0, 2, 2, 0, 2, 1, 4, 4, 2, 0, 4, 4, 2, 0, 0, 3, 2, 2, 3, 1, 3, 1, 1, 0, 2, 1, 2, 3, 1, 0, 0, 1, 3, 4, 0, 3, 1, 4, 4, 1, 3, 3, 1, 0, 1, 1, 1, 4, 1, 0, 3, 3, 4, 1, 2, 1, 4, 2, 4, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 4, 1, 0, 0, 4, 0, 0, 1, 0, 2, 0, 2, 3, 4, 1, 1, 3, 2, 0, 2, 4, 3, 0, 0, 0, 3, 4, 1, 3, 4, 3, 4, 3, 2, 2, 0, 4, 1, 4, 1, 4, 0, 1, 4, 2, 0, 1, 0, 4, 3, 4, 2, 3, 4, 1, 4, 4, 2, 2, 0, 3, 0, 0, 1, 0, 4, 1, 4, 4, 0, 0, 4, 1, 0, 0, 1, 4, 1, 3, 3, 4, 2, 4, 0, 1, 0, 4, 2, 4, 3, 0, 2, 2, 0, 1, 4, 0, 4, 1, 0, 0, 0, 3, 1, 3, 1, 0, 0, 4, 1, 4, 4, 0, 2, 2, 4, 3, 2, 3, 1, 3, 1, 4, 0, 4, 2, 2, 4, 1, 3, 1, 1, 2, 4, 3, 2, 2, 1, 1, 0, 4, 3, 3, 2, 0, 0, 2, 4, 2, 4, 2, 0, 0, 2, 0, 0, 3, 1, 3, 3, 2, 1, 2, 1, 0, 2, 0, 3, 3]
pubkeycol1227 = [0, 2, 2, 1, 4, 2, 2, 1, 4, 3, 1, 3, 1, 4, 0, 3, 2, 3, 4, 4, 2, 2, 2, 0, 1, 3, 3, 0, 1, 2, 3, 3, 2, 0, 3, 3, 1, 0, 3, 4, 3, 0, 3, 2, 4, 4, 1, 1, 0, 0, 3, 0, 3, 0, 2, 1, 1, 1, 3, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 4, 0, 4, 3, 0, 4, 0, 0, 2, 4, 2, 3, 3, 1, 3, 2, 3, 2, 4, 4, 4, 4, 4, 1, 0, 4, 4, 4, 0, 0, 2, 3, 1, 3, 3, 0, 2, 1, 2, 4, 1, 3, 1, 1, 1, 0, 1, 0, 2, 1, 1, 3, 1, 4, 4, 2, 1, 2, 4, 0, 0, 2, 0, 4, 3, 1, 4, 4, 3, 3, 4, 2, 2, 4, 4, 0, 1, 1, 4, 1, 0, 1, 2, 1, 0, 3, 3, 2, 0, 0, 1, 3, 1, 3, 1, 2, 3, 3, 0, 2, 4, 2, 0, 0, 2, 4, 1, 1, 2, 4, 4, 3, 3, 1, 4, 3, 4, 0, 1, 3, 3, 3, 2, 0, 1, 3, 3, 0, 2, 3, 0, 1, 0, 0, 0, 4, 3, 0, 2, 4, 1, 3, 4, 1, 3, 4, 4, 3, 2, 1, 4, 3, 1, 0, 0, 3, 1, 4, 3, 4, 0, 2, 4, 2, 4, 4, 2, 2, 3, 2, 3, 0, 0, 0, 3, 0, 3, 1, 0, 1, 3, 2, 2, 1, 1, 1, 3, 0, 4, 2, 3, 0, 2, 2, 0, 2, 0, 2, 0, 4, 4, 0, 0, 3, 0, 2, 0, 2, 2, 0, 0, 4, 3, 1, 1, 3, 0, 1, 4, 1, 4, 0, 1, 4, 4, 4, 4, 3, 4, 0, 3, 0, 4, 2, 3, 1, 1, 3, 2, 3, 0, 2, 3, 2, 2, 2]
pubkeycol1228 = [1, 2, 0, 1, 3, 4, 3, 0, 3, 2, 3, 2, 4, 0, 2, 2, 0, 1, 3, 2, 3, 2, 4, 3, 1, 1, 0, 2, 0, 0, 4, 1, 0, 1, 2, 1, 1, 1, 3, 4, 3, 2, 4, 4, 2, 0, 2, 2, 0, 0, 2, 4, 2, 2, 2, 0, 0, 4, 1, 2, 1, 2, 2, 0, 3, 0, 1, 2, 3, 0, 4, 3, 4, 3, 3, 4, 4, 4, 4, 2, 0, 0, 1, 4, 0, 2, 3, 2, 3, 3, 3, 2, 0, 2, 0, 0, 4, 4, 2, 2, 4, 3, 1, 3, 1, 3, 2, 4, 2, 0, 0, 0, 3, 0, 0, 3, 2, 3, 2, 1, 1, 2, 4, 4, 2, 2, 3, 2, 2, 3, 4, 1, 4, 2, 1, 1, 2, 3, 2, 2, 2, 0, 1, 2, 1, 4, 1, 2, 4, 3, 1, 3, 4, 2, 2, 0, 3, 2, 4, 0, 2, 0, 1, 1, 1, 0, 3, 0, 4, 3, 2, 3, 2, 2, 1, 2, 0, 2, 3, 3, 0, 3, 0, 1, 3, 4, 2, 3, 0, 4, 3, 2, 4, 0, 2, 1, 1, 1, 2, 0, 2, 4, 4, 0, 2, 0, 1, 2, 4, 4, 1, 4, 4, 0, 3, 1, 0, 2, 4, 1, 4, 0, 1, 3, 0, 0, 3, 4, 3, 0, 1, 3, 3, 2, 2, 1, 1, 2, 4, 3, 4, 3, 3, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 4, 1, 4, 1, 2, 1, 1, 3, 0, 2, 4, 4, 2, 3, 1, 1, 2, 4, 1, 0, 1, 2, 2, 4, 4, 1, 2, 0, 0, 0, 3, 2, 1, 0, 1, 2, 0, 2, 4, 2, 4, 1, 4, 4, 3, 1, 1, 4, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 3, 4, 2, 4]
pubkeycol1229 = [2, 1, 4, 1, 4, 2, 4, 3, 1, 4, 2, 1, 4, 2, 0, 0, 1, 2, 2, 1, 1, 0, 4, 2, 4, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 4, 2, 1, 3, 4, 4, 4, 4, 4, 0, 0, 4, 1, 0, 0, 4, 0, 4, 3, 2, 2, 2, 1, 4, 4, 1, 2, 0, 2, 4, 4, 1, 1, 1, 0, 4, 3, 3, 3, 4, 1, 3, 1, 1, 2, 2, 4, 1, 0, 1, 3, 4, 0, 1, 3, 4, 0, 4, 0, 0, 1, 3, 0, 2, 3, 3, 0, 2, 0, 0, 0, 1, 1, 0, 3, 2, 2, 0, 3, 2, 3, 3, 0, 3, 3, 0, 3, 1, 3, 1, 2, 0, 2, 2, 2, 3, 2, 1, 1, 1, 1, 2, 3, 1, 1, 4, 1, 0, 3, 1, 2, 0, 4, 3, 1, 0, 0, 2, 1, 3, 1, 4, 3, 4, 1, 1, 3, 2, 4, 4, 1, 1, 1, 4, 2, 3, 4, 4, 2, 0, 1, 0, 1, 0, 4, 1, 1, 3, 1, 2, 0, 4, 4, 0, 2, 1, 4, 0, 2, 4, 1, 3, 0, 1, 1, 2, 0, 1, 4, 2, 3, 2, 1, 2, 4, 0, 1, 2, 3, 0, 1, 0, 0, 0, 1, 2, 1, 2, 4, 2, 2, 2, 1, 2, 4, 3, 0, 1, 2, 3, 1, 4, 1, 1, 3, 0, 3, 3, 1, 0, 1, 3, 4, 2, 0, 3, 4, 2, 2, 2, 0, 4, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 3, 2, 0, 3, 2, 4, 4, 0, 3, 1, 3, 4, 1, 0, 1, 1, 3, 3, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 4, 1, 0, 4, 0, 3, 3, 0, 2, 2, 0, 4, 2, 3, 2, 4, 1, 1, 4, 1, 1, 1, 3, 2]
pubkeycol1230 = [4, 3, 3, 2, 2, 4, 4, 3, 4, 0, 1, 0, 4, 1, 3, 1, 4, 1, 2, 4, 3, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 3, 0, 0, 0, 0, 3, 1, 2, 0, 3, 2, 2, 0, 4, 1, 2, 0, 2, 3, 2, 0, 3, 3, 2, 0, 4, 2, 0, 4, 4, 1, 1, 2, 1, 0, 1, 0, 0, 3, 3, 0, 1, 4, 0, 4, 0, 4, 0, 4, 1, 4, 1, 4, 1, 0, 4, 0, 3, 4, 2, 3, 4, 3, 4, 3, 0, 1, 4, 0, 2, 0, 2, 3, 4, 2, 3, 3, 1, 0, 3, 3, 2, 1, 3, 4, 2, 1, 4, 3, 0, 1, 1, 1, 0, 4, 4, 1, 4, 1, 1, 4, 1, 2, 3, 0, 3, 4, 3, 2, 0, 0, 1, 2, 1, 3, 4, 2, 3, 4, 4, 2, 2, 1, 1, 2, 4, 0, 3, 4, 3, 2, 4, 3, 0, 1, 0, 4, 0, 0, 4, 2, 4, 4, 0, 0, 1, 1, 2, 2, 0, 3, 0, 1, 3, 0, 4, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 4, 3, 2, 3, 0, 3, 4, 3, 4, 0, 0, 0, 0, 4, 4, 0, 3, 0, 0, 4, 0, 1, 0, 2, 4, 2, 0, 3, 2, 2, 1, 4, 1, 0, 2, 0, 0, 4, 4, 4, 0, 4, 4, 2, 2, 4, 2, 2, 1, 2, 4, 2, 0, 1, 1, 2, 0, 1, 2, 3, 2, 1, 3, 4, 1, 3, 0, 3, 1, 4, 1, 4, 4, 2, 2, 2, 0, 4, 2, 1, 4, 3, 3, 3, 3, 1, 3, 1, 0, 0, 1, 3, 3, 0, 4, 1, 0, 4, 1, 0, 0, 0, 2, 2, 0, 4, 1, 2, 4, 3, 0, 1, 3, 4]
pubkeycol1231 = [3, 2, 1, 2, 0, 3, 1, 2, 1, 4, 2, 1, 4, 1, 1, 0, 4, 4, 3, 2, 2, 1, 0, 1, 3, 0, 1, 2, 0, 1, 0, 0, 0, 4, 2, 4, 1, 2, 0, 0, 3, 3, 4, 1, 2, 2, 1, 0, 0, 1, 3, 1, 0, 0, 4, 1, 4, 2, 2, 1, 0, 4, 2, 2, 1, 3, 3, 3, 2, 1, 4, 3, 2, 1, 1, 3, 1, 3, 4, 4, 1, 2, 3, 1, 2, 0, 3, 2, 2, 4, 1, 3, 1, 3, 0, 1, 4, 3, 2, 3, 2, 4, 1, 4, 2, 0, 1, 1, 2, 1, 3, 4, 4, 4, 3, 4, 1, 2, 2, 2, 1, 1, 4, 1, 3, 2, 4, 2, 2, 2, 0, 3, 3, 1, 1, 2, 3, 1, 2, 3, 0, 1, 0, 4, 3, 0, 0, 2, 0, 2, 4, 0, 3, 0, 2, 3, 3, 1, 2, 3, 4, 3, 3, 1, 4, 2, 3, 3, 4, 4, 1, 2, 2, 0, 1, 3, 2, 1, 3, 2, 4, 4, 0, 3, 4, 1, 2, 1, 1, 2, 0, 4, 0, 3, 0, 3, 3, 0, 3, 3, 4, 0, 4, 2, 3, 2, 4, 0, 2, 4, 3, 3, 4, 1, 1, 3, 3, 0, 4, 3, 3, 4, 3, 1, 1, 2, 2, 4, 0, 0, 4, 2, 1, 4, 3, 0, 2, 3, 3, 0, 1, 4, 4, 4, 1, 1, 4, 3, 1, 4, 2, 0, 2, 2, 2, 4, 2, 3, 0, 2, 1, 3, 1, 3, 4, 4, 4, 3, 0, 0, 4, 0, 3, 3, 4, 1, 4, 4, 3, 2, 4, 0, 0, 1, 2, 4, 0, 3, 1, 0, 1, 0, 2, 2, 4, 4, 4, 4, 1, 3, 3, 2, 2, 4, 0, 0, 2, 2, 2, 3, 3, 2, 1, 1, 4, 0, 3, 0, 2, 0]
pubkeycol1232 = [3, 2, 2, 0, 4, 4, 1, 1, 3, 2, 4, 2, 3, 0, 2, 3, 2, 4, 3, 3, 2, 4, 4, 4, 2, 2, 3, 3, 2, 3, 0, 3, 0, 4, 3, 2, 0, 3, 4, 3, 0, 0, 2, 1, 4, 3, 0, 1, 4, 2, 0, 0, 2, 2, 1, 0, 2, 4, 2, 4, 1, 1, 1, 4, 4, 1, 4, 4, 0, 4, 2, 1, 2, 4, 0, 1, 1, 1, 4, 3, 4, 4, 0, 1, 3, 1, 1, 2, 2, 0, 2, 3, 2, 4, 2, 2, 4, 4, 4, 2, 4, 1, 3, 0, 4, 1, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 3, 4, 2, 1, 4, 0, 0, 2, 0, 1, 3, 2, 3, 1, 0, 1, 1, 2, 2, 4, 3, 2, 4, 1, 0, 3, 4, 3, 2, 4, 3, 3, 4, 0, 0, 2, 2, 3, 3, 1, 0, 3, 0, 4, 2, 4, 3, 1, 4, 4, 0, 1, 0, 4, 2, 4, 2, 4, 3, 4, 2, 4, 1, 0, 4, 1, 3, 4, 1, 1, 4, 3, 0, 4, 4, 1, 4, 4, 0, 4, 4, 0, 0, 4, 3, 0, 4, 4, 2, 0, 3, 0, 0, 2, 2, 2, 4, 2, 3, 1, 2, 1, 2, 0, 3, 4, 3, 1, 3, 4, 0, 1, 1, 4, 1, 1, 2, 0, 1, 4, 1, 0, 3, 1, 3, 2, 1, 2, 3, 1, 4, 3, 3, 4, 4, 4, 0, 2, 0, 1, 4, 4, 4, 4, 0, 2, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 4, 0, 3, 2, 4, 4, 2, 4, 0, 2, 2, 2, 3, 1, 1, 2, 2, 2, 1, 3, 2, 0, 3, 4, 2, 1, 0, 4, 2, 4, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1233 = [3, 3, 1, 0, 0, 0, 3, 0, 4, 3, 2, 1, 4, 0, 3, 2, 4, 0, 2, 3, 0, 1, 0, 2, 1, 0, 2, 0, 4, 3, 0, 4, 1, 1, 0, 0, 1, 0, 2, 1, 3, 0, 3, 1, 3, 0, 3, 0, 1, 2, 0, 1, 2, 2, 1, 3, 1, 2, 4, 4, 2, 3, 3, 3, 1, 4, 2, 0, 2, 3, 1, 0, 1, 3, 3, 4, 3, 2, 1, 3, 4, 4, 2, 1, 2, 1, 2, 1, 4, 4, 3, 4, 1, 4, 3, 1, 4, 0, 4, 2, 4, 0, 1, 3, 2, 2, 2, 1, 0, 4, 0, 0, 0, 0, 4, 2, 1, 4, 1, 4, 4, 3, 2, 4, 4, 2, 3, 4, 3, 0, 0, 4, 1, 1, 4, 4, 1, 2, 0, 1, 2, 1, 3, 1, 3, 0, 2, 3, 4, 3, 2, 2, 2, 0, 0, 3, 3, 1, 0, 0, 2, 2, 3, 0, 2, 1, 3, 4, 4, 3, 1, 0, 1, 2, 4, 2, 1, 1, 2, 1, 1, 3, 3, 1, 2, 2, 1, 3, 1, 3, 4, 0, 3, 1, 2, 0, 1, 4, 1, 4, 4, 3, 4, 0, 4, 4, 4, 0, 4, 4, 3, 3, 2, 4, 4, 3, 0, 3, 0, 1, 4, 4, 2, 1, 1, 2, 4, 2, 1, 2, 3, 2, 3, 1, 0, 2, 4, 0, 2, 4, 2, 0, 1, 2, 1, 3, 3, 4, 4, 0, 2, 3, 0, 4, 0, 1, 0, 3, 1, 1, 3, 3, 2, 2, 2, 3, 0, 3, 1, 0, 3, 3, 2, 0, 0, 4, 4, 0, 2, 2, 3, 2, 2, 0, 2, 0, 3, 2, 4, 4, 0, 0, 3, 1, 1, 2, 3, 1, 1, 4, 4, 1, 0, 2, 4, 1, 1, 3, 0, 3, 2, 4, 4, 0, 2, 4, 0, 2, 1, 0]
pubkeycol1234 = [4, 1, 1, 1, 2, 1, 1, 4, 3, 0, 0, 2, 3, 2, 1, 4, 0, 1, 3, 2, 2, 1, 0, 3, 3, 4, 2, 3, 2, 4, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 3, 0, 4, 3, 2, 3, 2, 4, 0, 0, 0, 3, 3, 4, 4, 1, 2, 1, 3, 0, 0, 4, 3, 3, 4, 4, 1, 0, 4, 1, 3, 4, 0, 0, 2, 1, 4, 0, 2, 2, 4, 0, 4, 3, 3, 2, 1, 1, 3, 1, 2, 2, 1, 0, 4, 0, 3, 1, 3, 1, 0, 2, 0, 1, 0, 1, 1, 2, 4, 0, 0, 2, 1, 3, 1, 2, 3, 2, 3, 0, 2, 0, 1, 1, 1, 1, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 0, 2, 0, 4, 2, 2, 2, 0, 0, 3, 3, 1, 3, 0, 3, 4, 2, 2, 4, 0, 1, 3, 4, 2, 0, 1, 4, 0, 3, 4, 4, 3, 4, 2, 0, 3, 4, 2, 1, 3, 3, 3, 3, 2, 3, 3, 0, 2, 2, 4, 0, 3, 4, 0, 2, 1, 2, 2, 3, 1, 1, 2, 1, 0, 3, 0, 3, 3, 0, 0, 2, 0, 1, 1, 0, 2, 4, 1, 2, 3, 2, 0, 1, 1, 1, 0, 2, 4, 0, 0, 1, 3, 2, 1, 4, 2, 4, 3, 1, 2, 2, 3, 2, 4, 2, 3, 4, 2, 3, 2, 0, 0, 3, 4, 0, 0, 2, 1, 4, 1, 3, 0, 2, 3, 4, 4, 2, 4, 3, 1, 4, 4, 0, 0, 4, 4, 0, 3, 4, 4, 4, 1, 2, 1, 1, 3, 3, 0, 3, 1, 2, 1, 3, 4, 4, 4, 0, 2, 4, 2, 4, 2, 0, 4, 3, 4, 3, 1, 0, 2, 4, 0, 1, 1, 4, 1, 2, 2, 2, 2, 0, 1, 3, 0]
pubkeycol1235 = [2, 0, 3, 2, 0, 2, 4, 2, 4, 2, 2, 4, 1, 4, 0, 3, 0, 2, 3, 2, 1, 0, 1, 1, 3, 2, 1, 3, 3, 2, 4, 3, 3, 0, 2, 4, 0, 2, 0, 1, 4, 4, 2, 3, 0, 0, 0, 0, 3, 1, 0, 4, 2, 0, 3, 1, 1, 3, 1, 2, 2, 1, 1, 0, 1, 1, 4, 2, 0, 2, 4, 0, 4, 1, 1, 4, 1, 2, 3, 3, 2, 3, 1, 0, 0, 1, 3, 2, 3, 2, 3, 2, 1, 4, 1, 2, 3, 0, 0, 1, 0, 4, 4, 1, 4, 2, 4, 2, 4, 3, 2, 1, 2, 1, 2, 0, 0, 4, 4, 3, 3, 2, 2, 4, 0, 2, 1, 4, 4, 0, 4, 4, 4, 0, 4, 2, 4, 4, 0, 1, 1, 3, 2, 3, 1, 3, 2, 0, 3, 1, 3, 1, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 4, 1, 3, 2, 1, 3, 2, 0, 0, 4, 0, 0, 2, 3, 1, 4, 3, 1, 2, 4, 3, 0, 1, 4, 3, 2, 0, 3, 1, 1, 3, 1, 1, 3, 4, 3, 2, 1, 1, 2, 4, 4, 4, 4, 1, 0, 2, 4, 0, 0, 2, 1, 4, 4, 3, 0, 0, 1, 4, 0, 1, 3, 4, 3, 2, 2, 3, 0, 0, 4, 3, 3, 3, 0, 3, 3, 4, 4, 0, 4, 1, 3, 4, 4, 2, 3, 0, 3, 4, 2, 2, 4, 0, 3, 1, 0, 3, 0, 3, 4, 4, 0, 3, 1, 2, 3, 4, 2, 1, 2, 2, 2, 3, 1, 3, 1, 0, 1, 4, 2, 4, 2, 0, 0, 4, 3, 4, 4, 1, 2, 3, 0, 2, 2, 2, 2, 3, 1, 0, 2, 4, 3, 3, 1, 0, 3, 3, 3, 4, 2, 0, 1, 1, 0, 2, 2, 2, 0]
pubkeycol1236 = [1, 4, 2, 2, 0, 2, 3, 3, 2, 4, 1, 2, 0, 2, 4, 3, 4, 4, 3, 1, 4, 3, 1, 2, 1, 1, 0, 3, 3, 0, 4, 2, 0, 4, 2, 0, 4, 0, 2, 0, 1, 2, 4, 0, 2, 3, 4, 0, 0, 2, 4, 1, 4, 0, 2, 4, 4, 2, 1, 3, 1, 3, 0, 4, 4, 4, 3, 2, 2, 4, 1, 0, 0, 4, 0, 0, 1, 1, 2, 0, 1, 3, 4, 1, 3, 0, 3, 3, 3, 2, 3, 0, 3, 1, 4, 4, 3, 0, 4, 0, 0, 3, 2, 4, 2, 0, 2, 3, 1, 1, 2, 2, 0, 4, 1, 0, 0, 0, 1, 0, 3, 2, 1, 1, 0, 4, 0, 0, 2, 2, 2, 3, 3, 2, 4, 1, 4, 3, 3, 1, 1, 3, 4, 0, 3, 0, 3, 0, 3, 1, 4, 0, 3, 1, 1, 2, 4, 4, 3, 0, 0, 0, 4, 4, 2, 1, 3, 3, 0, 3, 0, 1, 3, 1, 2, 4, 3, 4, 1, 2, 2, 3, 3, 0, 1, 1, 2, 4, 1, 2, 2, 3, 3, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 3, 1, 4, 0, 3, 3, 3, 4, 4, 2, 0, 4, 3, 1, 4, 3, 0, 2, 1, 0, 1, 1, 4, 3, 3, 4, 2, 0, 2, 4, 3, 3, 3, 3, 4, 0, 0, 1, 2, 0, 0, 4, 1, 0, 2, 4, 0, 0, 3, 1, 4, 2, 2, 4, 3, 1, 3, 3, 2, 4, 2, 3, 2, 3, 1, 2, 1, 0, 4, 2, 3, 1, 2, 1, 1, 4, 1, 1, 4, 3, 2, 3, 4, 3, 3, 4, 4, 4, 0, 4, 2, 2, 1, 2, 0, 0, 0, 3, 1, 1, 1, 0, 2, 1, 3, 1, 4, 2, 2, 2, 4, 4, 0, 1, 1, 3, 3]
pubkeycol1237 = [4, 0, 0, 0, 2, 3, 0, 1, 0, 3, 3, 0, 3, 0, 0, 3, 2, 2, 1, 4, 3, 2, 3, 1, 4, 1, 4, 3, 1, 3, 4, 3, 0, 3, 1, 0, 0, 1, 4, 0, 4, 3, 0, 4, 3, 2, 2, 4, 1, 3, 4, 3, 0, 1, 1, 2, 0, 0, 1, 3, 4, 3, 4, 1, 0, 3, 3, 0, 0, 4, 1, 2, 4, 2, 4, 3, 3, 0, 4, 1, 2, 4, 3, 0, 3, 0, 2, 2, 0, 1, 0, 4, 0, 3, 4, 2, 3, 2, 1, 2, 1, 2, 3, 1, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 0, 3, 0, 4, 1, 2, 3, 0, 0, 3, 2, 4, 2, 4, 2, 0, 1, 4, 3, 1, 2, 1, 4, 2, 1, 4, 3, 3, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 0, 2, 1, 3, 1, 3, 4, 4, 1, 2, 3, 1, 2, 1, 4, 1, 1, 0, 4, 4, 4, 4, 0, 3, 0, 0, 4, 4, 2, 0, 1, 0, 3, 2, 2, 1, 3, 0, 3, 3, 1, 3, 0, 3, 0, 2, 3, 2, 3, 4, 4, 3, 1, 1, 3, 0, 2, 3, 1, 3, 1, 3, 3, 3, 3, 1, 0, 3, 3, 3, 3, 1, 1, 2, 0, 3, 1, 2, 0, 3, 4, 2, 1, 2, 4, 4, 4, 3, 4, 0, 0, 3, 2, 3, 1, 3, 2, 1, 1, 1, 1, 1, 0, 2, 4, 0, 2, 0, 4, 2, 4, 0, 4, 4, 0, 0, 1, 0, 4, 2, 2, 2, 0, 1, 1, 0, 3, 4, 0, 4, 4, 4, 2, 2, 2, 2, 2, 4, 3, 1, 2, 3, 1, 0, 0, 2, 1, 1, 4, 4, 3, 2, 4, 4, 3, 2, 3, 2, 4, 3, 0, 2, 2, 2, 1, 3, 0, 0]
pubkeycol1238 = [3, 1, 0, 4, 4, 1, 1, 3, 3, 0, 1, 2, 4, 1, 0, 4, 2, 3, 0, 3, 3, 3, 0, 2, 1, 1, 2, 4, 0, 4, 4, 0, 4, 1, 1, 2, 2, 4, 2, 3, 1, 1, 1, 4, 0, 4, 0, 3, 2, 2, 4, 1, 4, 3, 4, 4, 2, 3, 1, 1, 2, 0, 2, 0, 4, 1, 4, 2, 3, 4, 4, 1, 2, 1, 2, 3, 1, 4, 3, 0, 1, 3, 2, 3, 3, 2, 4, 2, 1, 4, 2, 1, 0, 0, 4, 2, 2, 1, 4, 3, 0, 4, 3, 0, 1, 4, 3, 0, 0, 4, 0, 4, 1, 4, 3, 1, 4, 2, 0, 1, 0, 4, 4, 4, 0, 4, 4, 4, 1, 4, 4, 0, 1, 1, 0, 3, 0, 4, 3, 4, 4, 3, 0, 1, 1, 0, 2, 1, 2, 3, 0, 2, 3, 4, 4, 4, 1, 1, 0, 4, 2, 0, 0, 3, 3, 4, 4, 4, 0, 0, 1, 2, 4, 4, 3, 4, 0, 0, 4, 1, 1, 2, 1, 2, 0, 2, 0, 1, 3, 4, 1, 4, 1, 3, 4, 0, 2, 2, 2, 3, 0, 2, 4, 2, 0, 2, 3, 0, 3, 2, 3, 0, 2, 2, 0, 4, 2, 2, 3, 1, 4, 1, 0, 0, 3, 0, 3, 3, 4, 2, 1, 3, 0, 1, 3, 2, 2, 4, 1, 2, 4, 3, 4, 3, 1, 0, 0, 3, 3, 1, 3, 2, 0, 3, 4, 2, 2, 1, 0, 0, 3, 0, 0, 3, 3, 3, 1, 4, 3, 4, 1, 0, 2, 0, 1, 3, 1, 0, 2, 4, 2, 1, 1, 3, 4, 0, 0, 1, 3, 3, 3, 0, 0, 2, 4, 1, 2, 2, 1, 2, 4, 1, 1, 3, 3, 0, 1, 0, 0, 4, 3, 1, 3, 0, 3, 1, 2, 0, 3, 4]
pubkeycol1239 = [3, 4, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0, 4, 2, 2, 0, 1, 3, 4, 0, 0, 4, 4, 1, 4, 2, 3, 4, 1, 4, 4, 1, 4, 3, 0, 0, 1, 4, 4, 1, 3, 3, 1, 2, 3, 1, 0, 2, 4, 3, 2, 0, 4, 2, 0, 4, 2, 1, 2, 1, 0, 0, 0, 3, 0, 2, 3, 0, 1, 2, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 2, 0, 2, 2, 1, 4, 3, 0, 2, 3, 2, 2, 0, 4, 4, 2, 2, 3, 2, 2, 0, 4, 1, 1, 4, 0, 0, 2, 0, 1, 0, 2, 1, 2, 4, 2, 1, 2, 2, 3, 2, 0, 1, 4, 4, 2, 3, 1, 3, 4, 2, 1, 0, 3, 2, 1, 2, 0, 2, 4, 1, 2, 3, 3, 3, 0, 4, 3, 2, 4, 1, 1, 0, 0, 4, 1, 2, 0, 4, 1, 4, 3, 4, 1, 0, 1, 3, 3, 2, 3, 2, 2, 4, 3, 2, 3, 1, 3, 0, 2, 3, 2, 0, 2, 3, 2, 2, 2, 0, 4, 4, 2, 3, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 4, 4, 2, 3, 4, 4, 2, 4, 3, 4, 3, 4, 3, 0, 3, 2, 0, 0, 3, 2, 4, 4, 1, 3, 1, 4, 2, 2, 2, 4, 4, 1, 4, 2, 0, 4, 1, 1, 1, 1, 1, 4, 0, 4, 4, 1, 4, 4, 4, 2, 0, 1, 4, 1, 1, 3, 4, 2, 0, 2, 2, 0, 4, 2, 4, 3, 3, 4, 0, 0, 2, 0, 1, 0, 3, 4, 0, 3, 3, 1, 4, 2, 4, 2, 2, 1, 3, 0, 3, 2, 1, 1, 1, 4, 0, 0, 1, 2, 4, 0, 3, 1, 2, 0, 0, 3, 1, 4, 0, 0, 1, 4, 4, 3, 0]
pubkeycol1240 = [0, 4, 3, 1, 2, 2, 3, 4, 2, 1, 1, 0, 4, 1, 2, 0, 0, 2, 3, 3, 2, 0, 2, 0, 2, 1, 4, 1, 2, 1, 4, 0, 1, 1, 2, 4, 4, 4, 3, 0, 0, 3, 1, 4, 3, 3, 1, 2, 0, 0, 3, 4, 3, 3, 4, 1, 2, 2, 0, 1, 3, 0, 2, 3, 0, 2, 4, 3, 1, 2, 1, 2, 4, 1, 4, 0, 3, 1, 0, 0, 4, 0, 1, 0, 2, 3, 4, 3, 4, 4, 1, 3, 2, 0, 1, 2, 0, 2, 0, 2, 4, 2, 4, 4, 3, 4, 0, 4, 3, 2, 2, 4, 3, 1, 4, 3, 0, 2, 3, 3, 4, 2, 1, 3, 1, 1, 0, 4, 3, 0, 2, 1, 2, 2, 1, 3, 2, 4, 2, 2, 1, 4, 0, 1, 1, 2, 2, 2, 1, 3, 2, 4, 0, 2, 0, 0, 3, 4, 1, 1, 1, 4, 0, 0, 2, 1, 2, 4, 1, 1, 4, 4, 1, 1, 4, 2, 4, 1, 1, 0, 3, 3, 0, 3, 3, 2, 2, 3, 2, 3, 4, 3, 4, 2, 1, 2, 4, 3, 3, 4, 4, 4, 4, 3, 2, 2, 1, 1, 2, 4, 4, 0, 3, 1, 4, 2, 1, 3, 4, 2, 2, 4, 1, 2, 1, 0, 3, 1, 4, 0, 1, 3, 2, 4, 3, 2, 2, 2, 2, 0, 1, 4, 2, 2, 0, 1, 1, 3, 2, 1, 3, 0, 0, 1, 4, 4, 1, 0, 2, 0, 3, 2, 4, 4, 0, 3, 3, 0, 2, 3, 4, 1, 4, 1, 1, 1, 2, 4, 3, 3, 2, 2, 4, 0, 3, 2, 3, 0, 1, 3, 3, 4, 1, 3, 1, 2, 1, 4, 1, 4, 1, 2, 1, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 3, 0, 4, 4, 3, 1, 2]
pubkeycol1241 = [4, 2, 3, 4, 4, 4, 4, 3, 2, 2, 4, 2, 4, 1, 1, 4, 4, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 4, 4, 3, 4, 2, 4, 3, 1, 1, 1, 3, 3, 3, 3, 2, 0, 1, 4, 4, 4, 4, 4, 2, 3, 2, 0, 2, 0, 0, 1, 0, 2, 4, 1, 2, 4, 4, 2, 2, 2, 2, 1, 2, 2, 0, 4, 0, 3, 2, 2, 1, 4, 3, 2, 3, 3, 4, 3, 2, 4, 3, 3, 2, 1, 0, 2, 3, 4, 4, 3, 4, 3, 4, 2, 0, 0, 3, 1, 0, 2, 1, 0, 3, 4, 1, 3, 2, 3, 1, 1, 4, 0, 3, 2, 4, 0, 3, 2, 2, 1, 0, 2, 4, 2, 0, 1, 3, 4, 2, 2, 2, 0, 0, 3, 3, 2, 3, 2, 0, 2, 2, 2, 4, 0, 3, 4, 1, 3, 3, 3, 3, 1, 4, 4, 0, 1, 0, 2, 4, 1, 4, 0, 3, 3, 1, 0, 0, 3, 0, 1, 3, 3, 0, 1, 4, 3, 4, 4, 2, 0, 2, 4, 3, 1, 1, 2, 4, 2, 1, 1, 0, 3, 0, 2, 4, 4, 3, 1, 1, 1, 2, 3, 0, 3, 1, 0, 0, 1, 4, 2, 4, 4, 1, 1, 2, 1, 0, 3, 2, 2, 3, 4, 0, 0, 4, 3, 1, 3, 3, 3, 1, 2, 1, 4, 4, 4, 2, 3, 3, 4, 1, 0, 2, 3, 3, 2, 1, 2, 3, 0, 2, 4, 0, 0, 4, 0, 1, 0, 2, 3, 4, 2, 0, 4, 2, 4, 0, 4, 0, 3, 2, 2, 4, 1, 1, 3, 0, 1, 0, 0, 1, 0, 0, 4, 3, 4, 0, 2, 4, 3, 4, 4, 0, 0, 1, 2, 1, 3, 4, 2, 1, 2, 1, 2, 2, 3, 3, 3, 2, 0, 3]
pubkeycol1242 = [2, 4, 1, 0, 4, 3, 2, 3, 0, 0, 2, 4, 1, 4, 2, 1, 2, 4, 0, 1, 0, 4, 1, 2, 1, 0, 0, 4, 0, 2, 2, 3, 3, 1, 2, 4, 4, 0, 4, 0, 2, 1, 4, 2, 2, 2, 4, 0, 1, 2, 4, 2, 3, 2, 2, 0, 4, 4, 2, 2, 3, 2, 1, 2, 4, 1, 0, 1, 4, 3, 1, 1, 1, 3, 2, 3, 3, 0, 2, 4, 1, 1, 1, 1, 2, 2, 3, 2, 3, 0, 2, 2, 3, 4, 2, 0, 0, 1, 0, 1, 0, 4, 0, 0, 2, 0, 3, 1, 0, 3, 1, 0, 1, 4, 2, 0, 4, 1, 4, 2, 0, 2, 1, 3, 1, 4, 3, 0, 0, 1, 1, 3, 3, 4, 0, 1, 2, 2, 2, 4, 0, 0, 3, 0, 1, 1, 0, 0, 0, 4, 4, 2, 1, 4, 3, 1, 4, 1, 0, 3, 2, 1, 1, 0, 4, 4, 0, 4, 4, 3, 4, 1, 4, 2, 1, 4, 2, 4, 3, 2, 0, 0, 3, 4, 4, 4, 0, 1, 1, 4, 1, 0, 0, 2, 2, 0, 2, 2, 0, 4, 4, 0, 0, 2, 2, 0, 4, 3, 0, 4, 0, 4, 4, 2, 2, 2, 3, 0, 2, 4, 0, 2, 4, 3, 4, 3, 4, 2, 2, 3, 4, 0, 2, 0, 3, 1, 4, 4, 2, 1, 3, 1, 1, 4, 2, 2, 1, 4, 2, 0, 3, 2, 2, 3, 0, 4, 3, 4, 0, 4, 3, 1, 2, 2, 1, 1, 3, 4, 3, 4, 4, 0, 2, 1, 4, 2, 3, 1, 1, 3, 2, 1, 0, 2, 2, 2, 3, 2, 3, 0, 3, 1, 3, 4, 3, 3, 3, 3, 3, 0, 4, 3, 4, 3, 2, 2, 1, 3, 2, 4, 0, 4, 3, 4, 2, 4, 2, 2, 3, 1]
pubkeycol1243 = [3, 0, 0, 2, 2, 3, 3, 0, 3, 4, 2, 1, 0, 0, 4, 3, 1, 2, 2, 4, 4, 3, 1, 1, 3, 0, 4, 4, 4, 0, 4, 0, 2, 1, 0, 1, 3, 4, 1, 4, 3, 2, 1, 3, 1, 4, 2, 4, 2, 4, 0, 0, 0, 1, 3, 2, 2, 1, 0, 4, 3, 3, 4, 1, 1, 4, 0, 0, 2, 3, 0, 4, 2, 0, 3, 4, 3, 3, 3, 2, 1, 0, 0, 2, 0, 1, 4, 0, 1, 4, 0, 4, 4, 0, 4, 1, 0, 1, 3, 0, 3, 0, 2, 4, 3, 1, 3, 4, 1, 1, 1, 2, 1, 2, 4, 3, 4, 4, 1, 0, 4, 2, 0, 4, 1, 4, 1, 1, 1, 4, 1, 0, 4, 0, 0, 1, 1, 0, 1, 2, 3, 0, 3, 1, 1, 4, 2, 1, 4, 0, 4, 1, 3, 2, 4, 2, 4, 3, 1, 4, 3, 3, 3, 3, 1, 3, 2, 2, 0, 3, 1, 2, 1, 0, 1, 1, 0, 2, 1, 4, 4, 1, 2, 3, 4, 1, 1, 4, 0, 3, 4, 3, 4, 1, 3, 2, 1, 0, 1, 1, 3, 1, 0, 1, 0, 3, 2, 2, 2, 4, 2, 4, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 3, 4, 1, 3, 0, 1, 3, 4, 0, 3, 2, 3, 0, 3, 1, 4, 3, 2, 1, 1, 4, 1, 2, 1, 2, 0, 3, 1, 2, 1, 0, 3, 3, 2, 1, 2, 2, 3, 1, 1, 0, 2, 2, 2, 4, 2, 1, 0, 2, 1, 2, 4, 0, 3, 2, 0, 0, 0, 2, 4, 2, 2, 1, 2, 2, 3, 3, 0, 2, 3, 3, 0, 3, 4, 3, 3, 1, 3, 0, 3, 3, 2, 1, 3, 3, 4, 2, 4, 3, 4, 2, 1, 1, 0, 1, 2]
pubkeycol1244 = [1, 1, 4, 1, 2, 3, 4, 0, 0, 1, 1, 3, 2, 1, 0, 3, 1, 1, 3, 3, 0, 3, 3, 4, 1, 2, 2, 4, 0, 4, 3, 0, 2, 1, 0, 1, 4, 4, 1, 0, 1, 0, 0, 2, 1, 2, 3, 3, 2, 1, 4, 3, 3, 4, 2, 4, 3, 0, 2, 1, 1, 3, 3, 1, 2, 3, 4, 4, 2, 4, 4, 0, 4, 4, 3, 2, 2, 1, 4, 0, 1, 0, 1, 0, 4, 4, 1, 1, 3, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 0, 1, 3, 0, 4, 0, 3, 3, 0, 4, 2, 0, 2, 4, 4, 4, 4, 3, 2, 2, 4, 2, 2, 4, 1, 1, 2, 4, 2, 2, 1, 0, 0, 0, 1, 2, 2, 3, 0, 4, 0, 0, 0, 2, 0, 1, 3, 2, 2, 2, 0, 0, 4, 2, 3, 3, 4, 4, 0, 3, 3, 4, 4, 4, 4, 1, 3, 3, 4, 0, 2, 2, 4, 0, 0, 4, 3, 3, 0, 2, 3, 3, 0, 3, 2, 4, 0, 3, 0, 1, 3, 2, 3, 2, 4, 3, 4, 0, 1, 2, 3, 4, 2, 4, 2, 4, 4, 4, 3, 3, 3, 0, 2, 2, 2, 3, 4, 1, 3, 4, 1, 3, 0, 4, 0, 2, 2, 1, 1, 2, 2, 1, 0, 3, 2, 4, 4, 4, 2, 3, 4, 4, 1, 3, 4, 0, 0, 0, 2, 1, 0, 4, 4, 4, 2, 3, 3, 1, 4, 3, 4, 2, 3, 3, 2, 1, 4, 2, 4, 4, 4, 4, 1, 4, 4, 3, 2, 1, 3, 1, 3, 3, 2, 2, 0, 3, 3, 4, 4, 3, 0, 3, 4, 4, 0, 4, 2, 2, 4, 2, 0, 0, 1, 3, 4, 1, 2, 1, 2, 1, 3, 4, 3, 0, 0, 4, 4, 3, 2, 1, 4]
pubkeycol1245 = [3, 0, 2, 0, 3, 4, 1, 4, 4, 3, 4, 3, 2, 0, 1, 0, 0, 3, 2, 0, 1, 3, 1, 1, 0, 0, 1, 0, 0, 4, 1, 1, 3, 4, 1, 0, 3, 0, 2, 2, 3, 2, 3, 1, 3, 0, 3, 3, 0, 3, 3, 4, 3, 2, 1, 3, 4, 0, 1, 4, 4, 4, 4, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 4, 4, 0, 4, 2, 3, 2, 3, 0, 2, 3, 2, 3, 3, 1, 0, 3, 1, 0, 0, 3, 1, 0, 0, 3, 0, 4, 2, 0, 0, 1, 4, 2, 2, 3, 4, 1, 3, 1, 0, 1, 0, 1, 2, 0, 2, 1, 4, 2, 3, 3, 3, 3, 3, 2, 0, 1, 1, 0, 3, 0, 1, 4, 2, 2, 0, 3, 3, 1, 4, 0, 2, 0, 3, 1, 4, 3, 0, 0, 2, 2, 4, 2, 0, 4, 3, 1, 4, 0, 3, 2, 1, 2, 0, 4, 4, 2, 3, 2, 4, 1, 2, 3, 0, 3, 1, 4, 2, 3, 1, 2, 2, 2, 3, 0, 4, 1, 3, 2, 3, 2, 0, 4, 4, 0, 4, 2, 3, 4, 0, 2, 2, 0, 2, 4, 0, 1, 2, 3, 2, 4, 1, 0, 1, 4, 1, 2, 2, 4, 1, 1, 2, 3, 4, 3, 0, 0, 3, 0, 0, 4, 0, 4, 2, 3, 0, 2, 4, 1, 3, 2, 2, 1, 2, 1, 2, 4, 1, 3, 4, 1, 4, 3, 0, 0, 1, 0, 0, 0, 3, 4, 4, 2, 0, 1, 3, 1, 1, 2, 0, 3, 0, 0, 4, 2, 3, 1, 1, 0, 3, 4, 3, 0, 0, 3, 3, 3, 0, 1, 4, 1, 4, 3, 1, 2, 2, 4, 2, 4, 2, 4, 4, 0, 3, 4, 2, 3, 0, 2, 2, 4]